Properties

Label 27.6.e.a.4.13
Level 27
Weight 6
Character 27.4
Analytic conductor 4.330
Analytic rank 0
Dimension 84
CM No

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Newspace parameters

Level: \( N \) = \( 27 = 3^{3} \)
Weight: \( k \) = \( 6 \)
Character orbit: \([\chi]\) = 27.e (of order \(9\) and degree \(6\))

Newform invariants

Self dual: No
Analytic conductor: \(4.33036313495\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(14\) over \(\Q(\zeta_{9})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 4.13
Character \(\chi\) = 27.4
Dual form 27.6.e.a.7.13

$q$-expansion

\(f(q)\) \(=\) \(q+(8.47173 + 3.08346i) q^{2} +(8.38757 + 13.1396i) q^{3} +(37.7491 + 31.6753i) q^{4} +(17.5895 - 99.7549i) q^{5} +(30.5419 + 137.178i) q^{6} +(-143.917 + 120.761i) q^{7} +(77.8841 + 134.899i) q^{8} +(-102.297 + 220.418i) q^{9} +O(q^{10})\) \(q+(8.47173 + 3.08346i) q^{2} +(8.38757 + 13.1396i) q^{3} +(37.7491 + 31.6753i) q^{4} +(17.5895 - 99.7549i) q^{5} +(30.5419 + 137.178i) q^{6} +(-143.917 + 120.761i) q^{7} +(77.8841 + 134.899i) q^{8} +(-102.297 + 220.418i) q^{9} +(456.604 - 790.861i) q^{10} +(-51.6186 - 292.744i) q^{11} +(-99.5763 + 761.686i) q^{12} +(169.026 - 61.5206i) q^{13} +(-1591.58 + 579.290i) q^{14} +(1458.27 - 605.583i) q^{15} +(-29.9677 - 169.955i) q^{16} +(81.3014 - 140.818i) q^{17} +(-1546.29 + 1551.90i) q^{18} +(441.237 + 764.245i) q^{19} +(3823.75 - 3208.51i) q^{20} +(-2793.86 - 878.119i) q^{21} +(465.364 - 2639.21i) q^{22} +(1851.82 + 1553.86i) q^{23} +(-1119.26 + 2154.84i) q^{24} +(-6705.12 - 2440.46i) q^{25} +1621.64 q^{26} +(-3754.23 + 504.633i) q^{27} -9257.85 q^{28} +(317.620 + 115.604i) q^{29} +(14221.4 - 633.821i) q^{30} +(4272.68 + 3585.21i) q^{31} +(1135.74 - 6441.08i) q^{32} +(3413.58 - 3133.66i) q^{33} +(1122.97 - 942.285i) q^{34} +(9515.04 + 16480.5i) q^{35} +(-10843.4 + 5080.31i) q^{36} +(-4307.56 + 7460.90i) q^{37} +(1381.52 + 7835.02i) q^{38} +(2226.08 + 1704.93i) q^{39} +(14826.8 - 5396.52i) q^{40} +(-2216.28 + 806.658i) q^{41} +(-20961.2 - 16053.9i) q^{42} +(-1069.55 - 6065.73i) q^{43} +(7324.18 - 12685.9i) q^{44} +(20188.5 + 14081.7i) q^{45} +(10896.9 + 18873.9i) q^{46} +(-5583.02 + 4684.71i) q^{47} +(1981.78 - 1819.28i) q^{48} +(3210.44 - 18207.3i) q^{49} +(-49278.9 - 41349.9i) q^{50} +(2532.21 - 112.856i) q^{51} +(8329.28 + 3031.61i) q^{52} -4764.66 q^{53} +(-33360.9 - 7300.90i) q^{54} -30110.6 q^{55} +(-27499.3 - 10008.9i) q^{56} +(-6340.95 + 12207.8i) q^{57} +(2334.33 + 1958.74i) q^{58} +(-3611.24 + 20480.3i) q^{59} +(74230.5 + 23330.9i) q^{60} +(7023.36 - 5893.30i) q^{61} +(25142.2 + 43547.6i) q^{62} +(-11895.6 - 44075.4i) q^{63} +(26721.2 - 46282.5i) q^{64} +(-3163.90 - 17943.3i) q^{65} +(38581.4 - 16021.9i) q^{66} +(35475.7 - 12912.1i) q^{67} +(7529.51 - 2740.52i) q^{68} +(-4884.81 + 37365.2i) q^{69} +(29791.8 + 168958. i) q^{70} +(11475.7 - 19876.6i) q^{71} +(-37701.6 + 3367.27i) q^{72} +(-14133.2 - 24479.4i) q^{73} +(-59497.8 + 49924.6i) q^{74} +(-24173.0 - 108572. i) q^{75} +(-7551.36 + 42825.9i) q^{76} +(42780.7 + 35897.3i) q^{77} +(13601.7 + 21307.7i) q^{78} +(-64862.0 - 23607.9i) q^{79} -17481.0 q^{80} +(-38119.6 - 45096.4i) q^{81} -21263.0 q^{82} +(112157. + 40821.7i) q^{83} +(-77650.9 - 121644. i) q^{84} +(-12617.3 - 10587.1i) q^{85} +(9642.47 - 54685.1i) q^{86} +(1145.07 + 5143.03i) q^{87} +(35470.7 - 29763.4i) q^{88} +(-52542.9 - 91007.0i) q^{89} +(127611. + 181547. i) q^{90} +(-16896.5 + 29265.6i) q^{91} +(20685.6 + 117314. i) q^{92} +(-11270.7 + 86212.4i) q^{93} +(-61743.0 + 22472.6i) q^{94} +(83998.4 - 30572.9i) q^{95} +(94159.1 - 39101.9i) q^{96} +(7027.06 + 39852.4i) q^{97} +(83339.4 - 144348. i) q^{98} +(69806.6 + 18569.2i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84q - 6q^{2} - 6q^{3} - 6q^{4} - 93q^{5} - 126q^{6} - 6q^{7} + 573q^{8} + 324q^{9} + O(q^{10}) \) \( 84q - 6q^{2} - 6q^{3} - 6q^{4} - 93q^{5} - 126q^{6} - 6q^{7} + 573q^{8} + 324q^{9} - 3q^{10} + 111q^{11} - 2769q^{12} - 6q^{13} - 1641q^{14} + 1989q^{15} + 90q^{16} + 3465q^{17} - 99q^{18} - 3q^{19} + 9987q^{20} + 5424q^{21} - 2850q^{22} - 7716q^{23} - 18486q^{24} + 4953q^{25} - 7806q^{26} - 8109q^{27} - 12q^{28} - 20418q^{29} - 6453q^{30} - 6657q^{31} + 51192q^{32} + 50634q^{33} - 11394q^{34} + 35868q^{35} - 3600q^{36} - 3q^{37} - 44076q^{38} - 13971q^{39} + 12441q^{40} - 79077q^{41} - 64422q^{42} - 9465q^{43} + 110757q^{44} + 92493q^{45} - 3q^{46} + 103557q^{47} + 134049q^{48} + 5484q^{49} - 105513q^{50} - 124866q^{51} + 68625q^{52} - 206406q^{53} - 350946q^{54} - 12q^{55} - 147237q^{56} + 67767q^{57} - 9753q^{58} + 116484q^{59} + 241290q^{60} - 70116q^{61} + 246066q^{62} + 135981q^{63} - 86019q^{64} - 19815q^{65} - 32931q^{66} + 48117q^{67} - 48105q^{68} + 25263q^{69} + 270111q^{70} + 279531q^{71} + 441684q^{72} - 27012q^{73} + 233691q^{74} + 18399q^{75} - 125670q^{76} - 345135q^{77} - 520974q^{78} - 216186q^{79} - 924114q^{80} - 428616q^{81} - 12q^{82} - 370401q^{83} - 522390q^{84} - 43731q^{85} + 116682q^{86} + 304173q^{87} + 371418q^{88} + 154827q^{89} + 327366q^{90} - 91002q^{91} + 1279059q^{92} + 890079q^{93} + 11667q^{94} + 1087671q^{95} + 1165698q^{96} - 420621q^{97} + 463410q^{98} - 28323q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 8.47173 + 3.08346i 1.49760 + 0.545084i 0.955439 0.295188i \(-0.0953823\pi\)
0.542166 + 0.840272i \(0.317605\pi\)
\(3\) 8.38757 + 13.1396i 0.538063 + 0.842905i
\(4\) 37.7491 + 31.6753i 1.17966 + 0.989852i
\(5\) 17.5895 99.7549i 0.314650 1.78447i −0.259523 0.965737i \(-0.583565\pi\)
0.574174 0.818734i \(-0.305323\pi\)
\(6\) 30.5419 + 137.178i 0.346352 + 1.55563i
\(7\) −143.917 + 120.761i −1.11011 + 0.931494i −0.998063 0.0622089i \(-0.980185\pi\)
−0.112048 + 0.993703i \(0.535741\pi\)
\(8\) 77.8841 + 134.899i 0.430253 + 0.745220i
\(9\) −102.297 + 220.418i −0.420976 + 0.907072i
\(10\) 456.604 790.861i 1.44391 2.50092i
\(11\) −51.6186 292.744i −0.128625 0.729468i −0.979089 0.203434i \(-0.934790\pi\)
0.850464 0.526034i \(-0.176321\pi\)
\(12\) −99.5763 + 761.686i −0.199619 + 1.52694i
\(13\) 169.026 61.5206i 0.277394 0.100963i −0.199577 0.979882i \(-0.563957\pi\)
0.476971 + 0.878919i \(0.341735\pi\)
\(14\) −1591.58 + 579.290i −2.17025 + 0.789906i
\(15\) 1458.27 605.583i 1.67344 0.694937i
\(16\) −29.9677 169.955i −0.0292653 0.165972i
\(17\) 81.3014 140.818i 0.0682301 0.118178i −0.829892 0.557924i \(-0.811598\pi\)
0.898122 + 0.439746i \(0.144931\pi\)
\(18\) −1546.29 + 1551.90i −1.12489 + 1.12897i
\(19\) 441.237 + 764.245i 0.280406 + 0.485678i 0.971485 0.237102i \(-0.0761974\pi\)
−0.691078 + 0.722780i \(0.742864\pi\)
\(20\) 3823.75 3208.51i 2.13754 1.79361i
\(21\) −2793.86 878.119i −1.38247 0.434515i
\(22\) 465.364 2639.21i 0.204992 1.16257i
\(23\) 1851.82 + 1553.86i 0.729926 + 0.612481i 0.930112 0.367277i \(-0.119710\pi\)
−0.200185 + 0.979758i \(0.564154\pi\)
\(24\) −1119.26 + 2154.84i −0.396646 + 0.763638i
\(25\) −6705.12 2440.46i −2.14564 0.780948i
\(26\) 1621.64 0.470459
\(27\) −3754.23 + 504.633i −0.991087 + 0.133219i
\(28\) −9257.85 −2.23159
\(29\) 317.620 + 115.604i 0.0701315 + 0.0255258i 0.376848 0.926275i \(-0.377008\pi\)
−0.306716 + 0.951801i \(0.599230\pi\)
\(30\) 14221.4 633.821i 2.88495 0.128577i
\(31\) 4272.68 + 3585.21i 0.798540 + 0.670054i 0.947843 0.318737i \(-0.103259\pi\)
−0.149304 + 0.988791i \(0.547703\pi\)
\(32\) 1135.74 6441.08i 0.196066 1.11195i
\(33\) 3413.58 3133.66i 0.545663 0.500918i
\(34\) 1122.97 942.285i 0.166599 0.139793i
\(35\) 9515.04 + 16480.5i 1.31293 + 2.27406i
\(36\) −10843.4 + 5080.31i −1.39448 + 0.653332i
\(37\) −4307.56 + 7460.90i −0.517281 + 0.895957i 0.482518 + 0.875886i \(0.339722\pi\)
−0.999799 + 0.0200707i \(0.993611\pi\)
\(38\) 1381.52 + 7835.02i 0.155203 + 0.880199i
\(39\) 2226.08 + 1704.93i 0.234357 + 0.179492i
\(40\) 14826.8 5396.52i 1.46520 0.533290i
\(41\) −2216.28 + 806.658i −0.205904 + 0.0749428i −0.442913 0.896565i \(-0.646055\pi\)
0.237009 + 0.971507i \(0.423833\pi\)
\(42\) −20961.2 16053.9i −1.83355 1.40429i
\(43\) −1069.55 6065.73i −0.0882126 0.500278i −0.996617 0.0821859i \(-0.973810\pi\)
0.908404 0.418093i \(-0.137301\pi\)
\(44\) 7324.18 12685.9i 0.570332 0.987843i
\(45\) 20188.5 + 14081.7i 1.48618 + 1.03663i
\(46\) 10896.9 + 18873.9i 0.759288 + 1.31513i
\(47\) −5583.02 + 4684.71i −0.368659 + 0.309342i −0.808231 0.588866i \(-0.799575\pi\)
0.439572 + 0.898207i \(0.355130\pi\)
\(48\) 1981.78 1819.28i 0.124152 0.113971i
\(49\) 3210.44 18207.3i 0.191018 1.08332i
\(50\) −49278.9 41349.9i −2.78764 2.33910i
\(51\) 2532.21 112.856i 0.136325 0.00607575i
\(52\) 8329.28 + 3031.61i 0.427168 + 0.155477i
\(53\) −4764.66 −0.232993 −0.116496 0.993191i \(-0.537166\pi\)
−0.116496 + 0.993191i \(0.537166\pi\)
\(54\) −33360.9 7300.90i −1.55687 0.340716i
\(55\) −30110.6 −1.34219
\(56\) −27499.3 10008.9i −1.17180 0.426499i
\(57\) −6340.95 + 12207.8i −0.258504 + 0.497681i
\(58\) 2334.33 + 1958.74i 0.0911155 + 0.0764550i
\(59\) −3611.24 + 20480.3i −0.135060 + 0.765962i 0.839758 + 0.542960i \(0.182697\pi\)
−0.974818 + 0.223002i \(0.928414\pi\)
\(60\) 74230.5 + 23330.9i 2.66198 + 0.836668i
\(61\) 7023.36 5893.30i 0.241669 0.202784i −0.513906 0.857846i \(-0.671802\pi\)
0.755575 + 0.655062i \(0.227358\pi\)
\(62\) 25142.2 + 43547.6i 0.830661 + 1.43875i
\(63\) −11895.6 44075.4i −0.377601 1.39909i
\(64\) 26721.2 46282.5i 0.815467 1.41243i
\(65\) −3163.90 17943.3i −0.0928835 0.526769i
\(66\) 38581.4 16021.9i 1.09023 0.452745i
\(67\) 35475.7 12912.1i 0.965481 0.351406i 0.189302 0.981919i \(-0.439378\pi\)
0.776179 + 0.630513i \(0.217155\pi\)
\(68\) 7529.51 2740.52i 0.197467 0.0718721i
\(69\) −4884.81 + 37365.2i −0.123517 + 0.944811i
\(70\) 29791.8 + 168958.i 0.726695 + 4.12129i
\(71\) 11475.7 19876.6i 0.270168 0.467946i −0.698736 0.715379i \(-0.746254\pi\)
0.968905 + 0.247434i \(0.0795873\pi\)
\(72\) −37701.6 + 3367.27i −0.857094 + 0.0765504i
\(73\) −14133.2 24479.4i −0.310408 0.537642i 0.668043 0.744123i \(-0.267132\pi\)
−0.978451 + 0.206481i \(0.933799\pi\)
\(74\) −59497.8 + 49924.6i −1.26305 + 1.05983i
\(75\) −24173.0 108572.i −0.496224 2.22877i
\(76\) −7551.36 + 42825.9i −0.149965 + 0.850496i
\(77\) 42780.7 + 35897.3i 0.822283 + 0.689977i
\(78\) 13601.7 + 21307.7i 0.253137 + 0.396552i
\(79\) −64862.0 23607.9i −1.16929 0.425587i −0.316884 0.948464i \(-0.602636\pi\)
−0.852408 + 0.522877i \(0.824859\pi\)
\(80\) −17481.0 −0.305380
\(81\) −38119.6 45096.4i −0.645558 0.763711i
\(82\) −21263.0 −0.349212
\(83\) 112157. + 40821.7i 1.78702 + 0.650423i 0.999413 + 0.0342494i \(0.0109041\pi\)
0.787610 + 0.616174i \(0.211318\pi\)
\(84\) −77650.9 121644.i −1.20074 1.88102i
\(85\) −12617.3 10587.1i −0.189417 0.158939i
\(86\) 9642.47 54685.1i 0.140586 0.797303i
\(87\) 1145.07 + 5143.03i 0.0162194 + 0.0728486i
\(88\) 35470.7 29763.4i 0.488273 0.409710i
\(89\) −52542.9 91007.0i −0.703136 1.21787i −0.967360 0.253406i \(-0.918449\pi\)
0.264224 0.964461i \(-0.414884\pi\)
\(90\) 127611. + 181547.i 1.66066 + 2.36256i
\(91\) −16896.5 + 29265.6i −0.213891 + 0.370471i
\(92\) 20685.6 + 117314.i 0.254799 + 1.44504i
\(93\) −11270.7 + 86212.4i −0.135127 + 1.03362i
\(94\) −61743.0 + 22472.6i −0.720722 + 0.262321i
\(95\) 83998.4 30572.9i 0.954909 0.347558i
\(96\) 94159.1 39101.9i 1.04276 0.433032i
\(97\) 7027.06 + 39852.4i 0.0758306 + 0.430057i 0.998961 + 0.0455700i \(0.0145104\pi\)
−0.923131 + 0.384487i \(0.874378\pi\)
\(98\) 83339.4 144348.i 0.876567 1.51826i
\(99\) 69806.6 + 18569.2i 0.715827 + 0.190417i
\(100\) −175810. 304512.i −1.75810 3.04512i
\(101\) −118882. + 99753.8i −1.15961 + 0.973030i −0.999900 0.0141342i \(-0.995501\pi\)
−0.159711 + 0.987164i \(0.551056\pi\)
\(102\) 21800.2 + 6851.89i 0.207473 + 0.0652094i
\(103\) 16431.2 93185.7i 0.152607 0.865479i −0.808334 0.588725i \(-0.799630\pi\)
0.960941 0.276754i \(-0.0892587\pi\)
\(104\) 21463.6 + 18010.1i 0.194589 + 0.163280i
\(105\) −136739. + 263255.i −1.21037 + 2.33026i
\(106\) −40364.9 14691.6i −0.348931 0.127000i
\(107\) 111504. 0.941520 0.470760 0.882261i \(-0.343980\pi\)
0.470760 + 0.882261i \(0.343980\pi\)
\(108\) −157703. 99866.8i −1.30101 0.823876i
\(109\) 154865. 1.24850 0.624249 0.781226i \(-0.285405\pi\)
0.624249 + 0.781226i \(0.285405\pi\)
\(110\) −255089. 92844.7i −2.01006 0.731603i
\(111\) −134163. + 5979.41i −1.03354 + 0.0460628i
\(112\) 24836.7 + 20840.5i 0.187090 + 0.156987i
\(113\) 33451.4 189712.i 0.246444 1.39765i −0.570672 0.821178i \(-0.693317\pi\)
0.817116 0.576474i \(-0.195572\pi\)
\(114\) −91361.2 + 83869.4i −0.658415 + 0.604424i
\(115\) 187578. 157396.i 1.32263 1.10981i
\(116\) 8328.08 + 14424.7i 0.0574645 + 0.0995315i
\(117\) −3730.67 + 43549.9i −0.0251954 + 0.294119i
\(118\) −93743.7 + 162369.i −0.619780 + 1.07349i
\(119\) 5304.64 + 30084.1i 0.0343391 + 0.194747i
\(120\) 195269. + 149554.i 1.23788 + 0.948082i
\(121\) 68304.0 24860.6i 0.424114 0.154365i
\(122\) 77671.8 28270.2i 0.472458 0.171961i
\(123\) −29188.3 22355.0i −0.173959 0.133233i
\(124\) 47727.6 + 270677.i 0.278750 + 1.58087i
\(125\) −203116. + 351808.i −1.16271 + 2.01386i
\(126\) 35128.7 410074.i 0.197122 2.30110i
\(127\) 112971. + 195672.i 0.621526 + 1.07651i 0.989202 + 0.146560i \(0.0468202\pi\)
−0.367676 + 0.929954i \(0.619846\pi\)
\(128\) 208756. 175167.i 1.12620 0.944993i
\(129\) 70730.2 64930.2i 0.374223 0.343536i
\(130\) 28523.9 161767.i 0.148030 0.839521i
\(131\) −283604. 237972.i −1.44389 1.21157i −0.936892 0.349618i \(-0.886311\pi\)
−0.506996 0.861948i \(-0.669244\pi\)
\(132\) 228119. 10166.8i 1.13953 0.0507869i
\(133\) −155792. 56703.7i −0.763689 0.277960i
\(134\) 340354. 1.63745
\(135\) −15695.4 + 383379.i −0.0741205 + 1.81048i
\(136\) 25328.4 0.117425
\(137\) 208004. + 75707.3i 0.946826 + 0.344617i 0.768858 0.639420i \(-0.220825\pi\)
0.177968 + 0.984036i \(0.443048\pi\)
\(138\) −156597. + 301486.i −0.699980 + 1.34763i
\(139\) −242582. 203551.i −1.06493 0.893584i −0.0703486 0.997522i \(-0.522411\pi\)
−0.994584 + 0.103938i \(0.966856\pi\)
\(140\) −162841. + 923517.i −0.702172 + 3.98221i
\(141\) −108383. 34065.2i −0.459107 0.144299i
\(142\) 158508. 133004.i 0.659675 0.553533i
\(143\) −26734.7 46305.9i −0.109329 0.189363i
\(144\) 40526.9 + 10780.5i 0.162868 + 0.0433245i
\(145\) 17118.9 29650.7i 0.0676169 0.117116i
\(146\) −44251.4 250962.i −0.171808 0.974374i
\(147\) 266164. 110531.i 1.01591 0.421882i
\(148\) −398933. + 145200.i −1.49708 + 0.544893i
\(149\) 205258. 74707.9i 0.757417 0.275677i 0.0656939 0.997840i \(-0.479074\pi\)
0.691724 + 0.722162i \(0.256852\pi\)
\(150\) 129990. 994329.i 0.471718 3.60830i
\(151\) −2048.24 11616.1i −0.00731035 0.0414591i 0.980934 0.194339i \(-0.0622563\pi\)
−0.988245 + 0.152880i \(0.951145\pi\)
\(152\) −68730.7 + 119045.i −0.241292 + 0.417929i
\(153\) 22722.0 + 32325.6i 0.0784726 + 0.111640i
\(154\) 251739. + 436025.i 0.855359 + 1.48153i
\(155\) 432796. 363159.i 1.44695 1.21414i
\(156\) 30028.4 + 134871.i 0.0987916 + 0.443718i
\(157\) −80074.0 + 454122.i −0.259264 + 1.47036i 0.525621 + 0.850719i \(0.323833\pi\)
−0.784885 + 0.619641i \(0.787278\pi\)
\(158\) −476700. 399999.i −1.51916 1.27472i
\(159\) −39963.9 62605.6i −0.125365 0.196391i
\(160\) −622552. 226590.i −1.92254 0.699748i
\(161\) −454153. −1.38082
\(162\) −183886. 499585.i −0.550504 1.49562i
\(163\) −329684. −0.971917 −0.485958 0.873982i \(-0.661529\pi\)
−0.485958 + 0.873982i \(0.661529\pi\)
\(164\) −109214. 39750.5i −0.317079 0.115407i
\(165\) −252555. 395641.i −0.722180 1.13133i
\(166\) 824290. + 691661.i 2.32172 + 1.94815i
\(167\) −23314.9 + 132226.i −0.0646909 + 0.366880i 0.935227 + 0.354049i \(0.115195\pi\)
−0.999918 + 0.0128310i \(0.995916\pi\)
\(168\) −99139.5 445281.i −0.271003 1.21720i
\(169\) −259642. + 217865.i −0.699291 + 0.586775i
\(170\) −74245.1 128596.i −0.197036 0.341276i
\(171\) −213591. + 19076.6i −0.558589 + 0.0498897i
\(172\) 151759. 262854.i 0.391141 0.677476i
\(173\) 14238.3 + 80749.4i 0.0361695 + 0.205128i 0.997537 0.0701401i \(-0.0223446\pi\)
−0.961368 + 0.275268i \(0.911234\pi\)
\(174\) −6157.60 + 47101.2i −0.0154184 + 0.117939i
\(175\) 1.25969e6 458490.i 3.10934 1.13171i
\(176\) −48206.5 + 17545.7i −0.117307 + 0.0426962i
\(177\) −299393. + 124330.i −0.718304 + 0.298293i
\(178\) −164513. 933001.i −0.389180 2.20715i
\(179\) −259593. + 449628.i −0.605565 + 1.04887i 0.386397 + 0.922332i \(0.373719\pi\)
−0.991962 + 0.126536i \(0.959614\pi\)
\(180\) 316055. + 1.17105e6i 0.727079 + 2.69397i
\(181\) 179724. + 311290.i 0.407764 + 0.706268i 0.994639 0.103410i \(-0.0329754\pi\)
−0.586875 + 0.809678i \(0.699642\pi\)
\(182\) −233382. + 195831.i −0.522262 + 0.438230i
\(183\) 136344. + 42853.5i 0.300961 + 0.0945930i
\(184\) −65387.4 + 370830.i −0.142380 + 0.807478i
\(185\) 668494. + 560933.i 1.43605 + 1.20499i
\(186\) −361315. + 695616.i −0.765779 + 1.47430i
\(187\) −45420.3 16531.7i −0.0949831 0.0345710i
\(188\) −359144. −0.741094
\(189\) 479357. 525988.i 0.976124 1.07108i
\(190\) 805882. 1.61952
\(191\) 82703.8 + 30101.7i 0.164037 + 0.0597046i 0.422733 0.906254i \(-0.361071\pi\)
−0.258696 + 0.965959i \(0.583293\pi\)
\(192\) 832259. 37092.3i 1.62932 0.0726157i
\(193\) −519327. 435767.i −1.00357 0.842096i −0.0160954 0.999870i \(-0.505124\pi\)
−0.987475 + 0.157775i \(0.949568\pi\)
\(194\) −63352.0 + 359287.i −0.120853 + 0.685389i
\(195\) 209231. 192073.i 0.394039 0.361727i
\(196\) 697912. 585618.i 1.29766 1.08886i
\(197\) −289284. 501055.i −0.531079 0.919856i −0.999342 0.0362671i \(-0.988453\pi\)
0.468263 0.883589i \(-0.344880\pi\)
\(198\) 534125. + 372559.i 0.968234 + 0.675355i
\(199\) −296839. + 514141.i −0.531360 + 0.920342i 0.467970 + 0.883744i \(0.344985\pi\)
−0.999330 + 0.0365978i \(0.988348\pi\)
\(200\) −193006. 1.09459e6i −0.341189 1.93498i
\(201\) 467214. + 357834.i 0.815691 + 0.624729i
\(202\) −1.31472e6 + 478520.i −2.26702 + 0.825129i
\(203\) −59671.3 + 21718.6i −0.101631 + 0.0369906i
\(204\) 99163.6 + 75948.3i 0.166831 + 0.127774i
\(205\) 41485.0 + 235273.i 0.0689456 + 0.391010i
\(206\) 426535. 738780.i 0.700304 1.21296i
\(207\) −531935. + 249219.i −0.862846 + 0.404255i
\(208\) −15521.1 26883.3i −0.0248750 0.0430848i
\(209\) 200952. 168619.i 0.318219 0.267018i
\(210\) −1.97015e6 + 1.80860e6i −3.08285 + 2.83005i
\(211\) 111103. 630094.i 0.171798 0.974315i −0.769977 0.638072i \(-0.779732\pi\)
0.941775 0.336244i \(-0.109157\pi\)
\(212\) −179862. 150922.i −0.274852 0.230628i
\(213\) 357423. 15929.7i 0.539801 0.0240580i
\(214\) 944629. + 343817.i 1.41003 + 0.513207i
\(215\) −623899. −0.920488
\(216\) −360470. 467140.i −0.525696 0.681260i
\(217\) −1.04786e6 −1.51062
\(218\) 1.31198e6 + 477520.i 1.86976 + 0.680535i
\(219\) 203106. 391027.i 0.286162 0.550930i
\(220\) −1.13665e6 953761.i −1.58332 1.32856i
\(221\) 5078.87 28803.7i 0.00699498 0.0396705i
\(222\) −1.15503e6 363030.i −1.57294 0.494380i
\(223\) 24205.2 20310.6i 0.0325946 0.0273501i −0.626345 0.779546i \(-0.715450\pi\)
0.658939 + 0.752196i \(0.271005\pi\)
\(224\) 614377. + 1.06413e6i 0.818115 + 1.41702i
\(225\) 1.22384e6 1.22828e6i 1.61164 1.61749i
\(226\) 868361. 1.50404e6i 1.13091 1.95880i
\(227\) 62604.4 + 355047.i 0.0806381 + 0.457321i 0.998213 + 0.0597581i \(0.0190329\pi\)
−0.917575 + 0.397563i \(0.869856\pi\)
\(228\) −626052. + 259983.i −0.797578 + 0.331214i
\(229\) −1.46594e6 + 533559.i −1.84726 + 0.672348i −0.860664 + 0.509174i \(0.829951\pi\)
−0.986597 + 0.163174i \(0.947827\pi\)
\(230\) 2.07443e6 755032.i 2.58571 0.941122i
\(231\) −112849. + 863212.i −0.139145 + 1.06436i
\(232\) 9142.63 + 51850.4i 0.0111520 + 0.0632459i
\(233\) 433278. 750460.i 0.522850 0.905603i −0.476797 0.879014i \(-0.658202\pi\)
0.999646 0.0265890i \(-0.00846453\pi\)
\(234\) −165890. + 357440.i −0.198052 + 0.426740i
\(235\) 369121. + 639336.i 0.436012 + 0.755195i
\(236\) −785041. + 658728.i −0.917514 + 0.769885i
\(237\) −233838. 1.05027e6i −0.270423 1.21459i
\(238\) −47823.6 + 271221.i −0.0547268 + 0.310371i
\(239\) −470829. 395073.i −0.533174 0.447386i 0.336022 0.941854i \(-0.390918\pi\)
−0.869196 + 0.494468i \(0.835363\pi\)
\(240\) −146623. 229693.i −0.164314 0.257407i
\(241\) 739661. + 269215.i 0.820333 + 0.298577i 0.717885 0.696162i \(-0.245110\pi\)
0.102448 + 0.994738i \(0.467333\pi\)
\(242\) 655310. 0.719297
\(243\) 272817. 879124.i 0.296385 0.955069i
\(244\) 451797. 0.485813
\(245\) −1.75980e6 640514.i −1.87304 0.681731i
\(246\) −178345. 279387.i −0.187898 0.294353i
\(247\) 121598. + 102032.i 0.126818 + 0.106413i
\(248\) −150868. + 855613.i −0.155764 + 0.883381i
\(249\) 404343. + 1.81609e6i 0.413286 + 1.85626i
\(250\) −2.80553e6 + 2.35412e6i −2.83900 + 2.38220i
\(251\) 627084. + 1.08614e6i 0.628263 + 1.08818i 0.987900 + 0.155091i \(0.0495671\pi\)
−0.359637 + 0.933092i \(0.617100\pi\)
\(252\) 947053. 2.04060e6i 0.939448 2.02422i
\(253\) 359295. 622317.i 0.352898 0.611238i
\(254\) 353716. + 2.00602e6i 0.344010 + 1.95098i
\(255\) 33282.4 254586.i 0.0320527 0.245179i
\(256\) 701628. 255372.i 0.669125 0.243542i
\(257\) 979536. 356522.i 0.925097 0.336708i 0.164833 0.986322i \(-0.447292\pi\)
0.760264 + 0.649614i \(0.225069\pi\)
\(258\) 799417. 331978.i 0.747694 0.310499i
\(259\) −281053. 1.59393e6i −0.260339 1.47646i
\(260\) 448926. 777562.i 0.411852 0.713349i
\(261\) −57973.0 + 58183.3i −0.0526774 + 0.0528685i
\(262\) −1.66884e6 2.89051e6i −1.50197 2.60149i
\(263\) −22270.9 + 18687.5i −0.0198541 + 0.0166595i −0.652661 0.757650i \(-0.726347\pi\)
0.632807 + 0.774310i \(0.281903\pi\)
\(264\) 688592. + 216427.i 0.608068 + 0.191118i
\(265\) −83807.9 + 475298.i −0.0733112 + 0.415768i
\(266\) −1.14499e6 960757.i −0.992192 0.832548i
\(267\) 755086. 1.45372e6i 0.648214 1.24797i
\(268\) 1.74817e6 + 636281.i 1.48678 + 0.541143i
\(269\) −665012. −0.560337 −0.280168 0.959951i \(-0.590390\pi\)
−0.280168 + 0.959951i \(0.590390\pi\)
\(270\) −1.31510e6 + 3.19949e6i −1.09787 + 2.67099i
\(271\) 184951. 0.152980 0.0764900 0.997070i \(-0.475629\pi\)
0.0764900 + 0.997070i \(0.475629\pi\)
\(272\) −26369.2 9597.61i −0.0216110 0.00786576i
\(273\) −526258. + 23454.4i −0.427358 + 0.0190466i
\(274\) 1.52871e6 + 1.28274e6i 1.23013 + 1.03220i
\(275\) −368322. + 2.08886e6i −0.293694 + 1.66562i
\(276\) −1.36795e6 + 1.25578e6i −1.08093 + 0.992293i
\(277\) 275301. 231005.i 0.215580 0.180893i −0.528603 0.848869i \(-0.677284\pi\)
0.744182 + 0.667977i \(0.232839\pi\)
\(278\) −1.42745e6 2.47242e6i −1.10777 1.91871i
\(279\) −1.22733e6 + 575021.i −0.943953 + 0.442256i
\(280\) −1.48214e6 + 2.56714e6i −1.12978 + 1.95684i
\(281\) −196078. 1.11201e6i −0.148137 0.840126i −0.964795 0.263004i \(-0.915287\pi\)
0.816658 0.577122i \(-0.195824\pi\)
\(282\) −813154. 622786.i −0.608906 0.466355i
\(283\) 30301.7 11028.9i 0.0224906 0.00818590i −0.330750 0.943718i \(-0.607302\pi\)
0.353241 + 0.935532i \(0.385080\pi\)
\(284\) 1.06279e6 386825.i 0.781904 0.284590i
\(285\) 1.10626e6 + 847271.i 0.806759 + 0.617888i
\(286\) −83707.0 474726.i −0.0605127 0.343185i
\(287\) 221547. 383730.i 0.158767 0.274993i
\(288\) 1.30355e6 + 909241.i 0.926075 + 0.645949i
\(289\) 696709. + 1.20673e6i 0.490689 + 0.849899i
\(290\) 236453. 198408.i 0.165101 0.138536i
\(291\) −464705. + 426598.i −0.321695 + 0.295316i
\(292\) 241876. 1.37175e6i 0.166011 0.941493i
\(293\) −242778. 203715.i −0.165212 0.138629i 0.556434 0.830892i \(-0.312169\pi\)
−0.721645 + 0.692263i \(0.756614\pi\)
\(294\) 2.59569e6 115685.i 1.75140 0.0780565i
\(295\) 1.97950e6 + 720478.i 1.32434 + 0.482020i
\(296\) −1.34196e6 −0.890247
\(297\) 341516. + 1.07298e6i 0.224657 + 0.705830i
\(298\) 1.96925e6 1.28458
\(299\) 408601. + 148719.i 0.264315 + 0.0962027i
\(300\) 2.52654e6 4.86418e6i 1.62077 3.12037i
\(301\) 886427. + 743801.i 0.563932 + 0.473195i
\(302\) 18465.8 104725.i 0.0116506 0.0660741i
\(303\) −2.30785e6 725367.i −1.44412 0.453891i
\(304\) 116665. 97893.2i 0.0724028 0.0607531i
\(305\) −464348. 804275.i −0.285821 0.495057i
\(306\) 92820.1 + 343917.i 0.0566680 + 0.209966i
\(307\) −646211. + 1.11927e6i −0.391317 + 0.677780i −0.992623 0.121238i \(-0.961314\pi\)
0.601307 + 0.799018i \(0.294647\pi\)
\(308\) 477878. + 2.71018e6i 0.287038 + 1.62788i
\(309\) 1.36224e6 565704.i 0.811628 0.337049i
\(310\) 4.78632e6 1.74208e6i 2.82877 1.02959i
\(311\) −1.09140e6 + 397238.i −0.639858 + 0.232889i −0.641517 0.767109i \(-0.721694\pi\)
0.00165814 + 0.999999i \(0.499472\pi\)
\(312\) −56617.6 + 433083.i −0.0329280 + 0.251875i
\(313\) 288456. + 1.63592e6i 0.166425 + 0.943845i 0.947583 + 0.319511i \(0.103519\pi\)
−0.781157 + 0.624334i \(0.785370\pi\)
\(314\) −2.07863e6 + 3.60030e6i −1.18974 + 2.06070i
\(315\) −4.60597e6 + 411377.i −2.61544 + 0.233595i
\(316\) −1.70070e6 2.94570e6i −0.958098 1.65947i
\(317\) −490932. + 411941.i −0.274393 + 0.230243i −0.769591 0.638537i \(-0.779540\pi\)
0.495198 + 0.868780i \(0.335096\pi\)
\(318\) −145522. 653605.i −0.0806976 0.362450i
\(319\) 17447.3 98948.6i 0.00959957 0.0544419i
\(320\) −4.14689e6 3.47966e6i −2.26385 1.89960i
\(321\) 935245. + 1.46511e6i 0.506597 + 0.793612i
\(322\) −3.84746e6 1.40036e6i −2.06792 0.752663i
\(323\) 143493. 0.0765286
\(324\) −10539.1 2.90980e6i −0.00557754 1.53993i
\(325\) −1.28348e6 −0.674033
\(326\) −2.79300e6 1.01657e6i −1.45555 0.529776i
\(327\) 1.29894e6 + 2.03486e6i 0.671770 + 1.05236i
\(328\) −281430. 236148.i −0.144440 0.121199i
\(329\) 237762. 1.34842e6i 0.121103 0.686807i
\(330\) −919635. 4.13050e6i −0.464869 2.08794i
\(331\) −1.27939e6 + 1.07354e6i −0.641851 + 0.538577i −0.904586 0.426291i \(-0.859820\pi\)
0.262735 + 0.964868i \(0.415376\pi\)
\(332\) 2.94078e6 + 5.09358e6i 1.46426 + 2.53617i
\(333\) −1.20387e6 1.71269e6i −0.594934 0.846388i
\(334\) −605230. + 1.04829e6i −0.296862 + 0.514179i
\(335\) −664046. 3.76599e6i −0.323285 1.83344i
\(336\) −65515.5 + 501146.i −0.0316589 + 0.242168i
\(337\) −14582.6 + 5307.61i −0.00699453 + 0.00254580i −0.345515 0.938413i \(-0.612296\pi\)
0.338521 + 0.940959i \(0.390074\pi\)
\(338\) −2.87139e6 + 1.04510e6i −1.36710 + 0.497585i
\(339\) 2.77331e6 1.15169e6i 1.31069 0.544296i
\(340\) −140940. 799310.i −0.0661206 0.374989i
\(341\) 828997. 1.43587e6i 0.386071 0.668694i
\(342\) −1.86831e6 496987.i −0.863740 0.229763i
\(343\) 157920. + 273526.i 0.0724774 + 0.125535i
\(344\) 734961. 616706.i 0.334864 0.280984i
\(345\) 3.64145e6 + 1.14452e6i 1.64712 + 0.517697i
\(346\) −128364. + 727991.i −0.0576440 + 0.326916i
\(347\) 2.78336e6 + 2.33552e6i 1.24093 + 1.04126i 0.997451 + 0.0713535i \(0.0227318\pi\)
0.243475 + 0.969907i \(0.421713\pi\)
\(348\) −119682. + 230415.i −0.0529760 + 0.101991i
\(349\) 2.75439e6 + 1.00251e6i 1.21049 + 0.440583i 0.866874 0.498527i \(-0.166126\pi\)
0.343617 + 0.939110i \(0.388348\pi\)
\(350\) 1.20855e7 5.27345
\(351\) −603519. + 316259.i −0.261471 + 0.137017i
\(352\) −1.94421e6 −0.836347
\(353\) 1.62859e6 + 592757.i 0.695623 + 0.253186i 0.665541 0.746361i \(-0.268201\pi\)
0.0300823 + 0.999547i \(0.490423\pi\)
\(354\) −2.91974e6 + 130128.i −1.23833 + 0.0551901i
\(355\) −1.78093e6 1.49438e6i −0.750026 0.629347i
\(356\) 899222. 5.09974e6i 0.376047 2.13267i
\(357\) −350800. + 322034.i −0.145676 + 0.133731i
\(358\) −3.58561e6 + 3.00869e6i −1.47862 + 1.24071i
\(359\) 1.01567e6 + 1.75919e6i 0.415925 + 0.720403i 0.995525 0.0944978i \(-0.0301245\pi\)
−0.579600 + 0.814901i \(0.696791\pi\)
\(360\) −327250. + 3.82015e6i −0.133083 + 1.55355i
\(361\) 848669. 1.46994e6i 0.342744 0.593651i
\(362\) 562719. + 3.19134e6i 0.225694 + 1.27998i
\(363\) 899562. + 688965.i 0.358315 + 0.274429i
\(364\) −1.56482e6 + 569549.i −0.619030 + 0.225308i
\(365\) −2.69054e6 + 979275.i −1.05708 + 0.384745i
\(366\) 1.02294e6 + 783456.i 0.399159 + 0.305712i
\(367\) 25042.3 + 142022.i 0.00970530 + 0.0550415i 0.989276 0.146060i \(-0.0466591\pi\)
−0.979570 + 0.201101i \(0.935548\pi\)
\(368\) 208592. 361292.i 0.0802931 0.139072i
\(369\) 48916.5 571027.i 0.0187021 0.218318i
\(370\) 3.93369e6 + 6.81335e6i 1.49381 + 2.58736i
\(371\) 685715. 575383.i 0.258648 0.217031i
\(372\) −3.15626e6 + 2.89744e6i −1.18254 + 1.08557i
\(373\) 694865. 3.94077e6i 0.258600 1.46659i −0.528061 0.849206i \(-0.677081\pi\)
0.786661 0.617386i \(-0.211808\pi\)
\(374\) −333814. 280103.i −0.123403 0.103547i
\(375\) −6.32626e6 + 281950.i −2.32310 + 0.103537i
\(376\) −1.06679e6 388281.i −0.389144 0.141637i
\(377\) 60798.2 0.0220312
\(378\) 5.68285e6 2.97795e6i 2.04568 1.07198i
\(379\) −4.40091e6 −1.57378 −0.786890 0.617093i \(-0.788310\pi\)
−0.786890 + 0.617093i \(0.788310\pi\)
\(380\) 4.13927e6 + 1.50657e6i 1.47050 + 0.535218i
\(381\) −1.62349e6 + 3.12561e6i −0.572979 + 1.10312i
\(382\) 607827. + 510028.i 0.213119 + 0.178828i
\(383\) −310072. + 1.75851e6i −0.108010 + 0.612557i 0.881965 + 0.471315i \(0.156221\pi\)
−0.989975 + 0.141242i \(0.954890\pi\)
\(384\) 4.05259e6 + 1.27374e6i 1.40250 + 0.440812i
\(385\) 4.33342e6 3.63617e6i 1.48998 1.25024i
\(386\) −3.05593e6 5.29303e6i −1.04394 1.80816i
\(387\) 1.44641e6 + 384758.i 0.490924 + 0.130590i
\(388\) −997072. + 1.72698e6i −0.336238 + 0.582382i
\(389\) −720163. 4.08425e6i −0.241300 1.36848i −0.828932 0.559350i \(-0.811051\pi\)
0.587632 0.809128i \(-0.300060\pi\)
\(390\) 2.36480e6 982040.i 0.787285 0.326940i
\(391\) 369367. 134439.i 0.122185 0.0444716i
\(392\) 2.70619e6 984973.i 0.889495 0.323750i
\(393\) 748103. 5.72244e6i 0.244332 1.86896i
\(394\) −905757. 5.13680e6i −0.293948 1.66706i
\(395\) −3.49589e6 + 6.05506e6i −1.12737 + 1.95266i
\(396\) 2.04695e6 + 2.91211e6i 0.655949 + 0.933190i
\(397\) −1.48038e6 2.56410e6i −0.471409 0.816504i 0.528056 0.849209i \(-0.322921\pi\)
−0.999465 + 0.0327053i \(0.989588\pi\)
\(398\) −4.10007e6 + 3.44037e6i −1.29743 + 1.08867i
\(399\) −561655. 2.52265e6i −0.176619 0.793277i
\(400\) −213833. + 1.21271e6i −0.0668227 + 0.378970i
\(401\) −887143. 744401.i −0.275507 0.231178i 0.494556 0.869146i \(-0.335331\pi\)
−0.770063 + 0.637968i \(0.779775\pi\)
\(402\) 2.85475e6 + 4.47211e6i 0.881054 + 1.38022i
\(403\) 942761. + 343137.i 0.289160 + 0.105246i
\(404\) −7.64742e6 −2.33110
\(405\) −5.16909e6 + 3.00939e6i −1.56595 + 0.911677i
\(406\) −572488. −0.172366
\(407\) 2.40648e6 + 875889.i 0.720107 + 0.262097i
\(408\) 212444. + 332804.i 0.0631820 + 0.0989779i
\(409\) −3.06417e6 2.57114e6i −0.905742 0.760008i 0.0655623 0.997848i \(-0.479116\pi\)
−0.971304 + 0.237841i \(0.923560\pi\)
\(410\) −374005. + 2.12109e6i −0.109880 + 0.623159i
\(411\) 749887. + 3.36809e6i 0.218973 + 0.983509i
\(412\) 3.57194e6 2.99722e6i 1.03672 0.869912i
\(413\) −1.95350e6 3.38356e6i −0.563558 0.976111i
\(414\) −5.27487e6 + 471119.i −1.51255 + 0.135092i
\(415\) 6.04495e6 1.04702e7i 1.72295 2.98423i
\(416\) −204290. 1.15858e6i −0.0578779 0.328242i
\(417\) 639894. 4.89473e6i 0.180206 1.37844i
\(418\) 2.22234e6 808866.i 0.622114 0.226431i
\(419\) 6.60327e6 2.40339e6i 1.83748 0.668790i 0.846924 0.531714i \(-0.178452\pi\)
0.990561 0.137076i \(-0.0437705\pi\)
\(420\) −1.35005e7 + 5.60640e6i −3.73444 + 1.55082i
\(421\) 1.12948e6 + 6.40557e6i 0.310579 + 1.76138i 0.596008 + 0.802979i \(0.296753\pi\)
−0.285429 + 0.958400i \(0.592136\pi\)
\(422\) 2.88410e6 4.99541e6i 0.788369 1.36550i
\(423\) −461469. 1.70983e6i −0.125398 0.464625i
\(424\) −371091. 642749.i −0.100246 0.173631i
\(425\) −888797. + 745790.i −0.238688 + 0.200283i
\(426\) 3.07711e6 + 967148.i 0.821522 + 0.258207i
\(427\) −299102. + 1.69629e6i −0.0793869 + 0.450226i
\(428\) 4.20916e6 + 3.53191e6i 1.11067 + 0.931966i
\(429\) 384200. 739677.i 0.100789 0.194043i
\(430\) −5.28551e6 1.92377e6i −1.37853 0.501743i
\(431\) 1.08196e6 0.280555 0.140278 0.990112i \(-0.455200\pi\)
0.140278 + 0.990112i \(0.455200\pi\)
\(432\) 198271. + 622929.i 0.0511151 + 0.160594i
\(433\) −943949. −0.241952 −0.120976 0.992655i \(-0.538602\pi\)
−0.120976 + 0.992655i \(0.538602\pi\)
\(434\) −8.87721e6 3.23104e6i −2.26231 0.823414i
\(435\) 533184. 23763.1i 0.135100 0.00602114i
\(436\) 5.84602e6 + 4.90540e6i 1.47280 + 1.23583i
\(437\) −370439. + 2.10086e6i −0.0927926 + 0.526253i
\(438\) 2.92637e6 2.68641e6i 0.728861 0.669093i
\(439\) −322257. + 270406.i −0.0798071 + 0.0669661i −0.681819 0.731521i \(-0.738811\pi\)
0.602011 + 0.798488i \(0.294366\pi\)
\(440\) −2.34514e6 4.06190e6i −0.577479 1.00022i
\(441\) 3.68480e6 + 2.57019e6i 0.902231 + 0.629317i
\(442\) 131842. 228357.i 0.0320995 0.0555979i
\(443\) 208517. + 1.18256e6i 0.0504814 + 0.286294i 0.999589 0.0286569i \(-0.00912301\pi\)
−0.949108 + 0.314951i \(0.898012\pi\)
\(444\) −5.25394e6 4.02393e6i −1.26482 0.968709i
\(445\) −1.00026e7 + 3.64065e6i −2.39449 + 0.871523i
\(446\) 267686. 97429.9i 0.0637220 0.0231929i
\(447\) 2.70325e6 + 2.07039e6i 0.639908 + 0.490099i
\(448\) 1.74347e6 + 9.88770e6i 0.410411 + 2.32756i
\(449\) 1.62900e6 2.82150e6i 0.381333 0.660488i −0.609920 0.792463i \(-0.708799\pi\)
0.991253 + 0.131975i \(0.0421319\pi\)
\(450\) 1.41554e7 6.63199e6i 3.29526 1.54388i
\(451\) 350545. + 607162.i 0.0811527 + 0.140561i
\(452\) 7.27194e6 6.10188e6i 1.67419 1.40481i
\(453\) 135452. 124344.i 0.0310126 0.0284695i
\(454\) −564406. + 3.20090e6i −0.128514 + 0.728841i
\(455\) 2.62219e6 + 2.20028e6i 0.593793 + 0.498251i
\(456\) −2.14069e6 + 95406.6i −0.482104 + 0.0214865i
\(457\) −7.42776e6 2.70348e6i −1.66367 0.605526i −0.672737 0.739882i \(-0.734881\pi\)
−0.990933 + 0.134355i \(0.957104\pi\)
\(458\) −1.40643e7 −3.13295
\(459\) −234163. + 569692.i −0.0518784 + 0.126214i
\(460\) 1.20665e7 2.65880
\(461\) 4.33120e6 + 1.57643e6i 0.949195 + 0.345479i 0.769791 0.638296i \(-0.220361\pi\)
0.179405 + 0.983775i \(0.442583\pi\)
\(462\) −3.61770e6 + 6.96493e6i −0.788548 + 1.51814i
\(463\) 3.74384e6 + 3.14146e6i 0.811643 + 0.681049i 0.950999 0.309193i \(-0.100059\pi\)
−0.139356 + 0.990242i \(0.544503\pi\)
\(464\) 10129.2 57445.6i 0.00218414 0.0123869i
\(465\) 8.40187e6 + 2.64074e6i 1.80195 + 0.566361i
\(466\) 5.98463e6 5.02170e6i 1.27665 1.07124i
\(467\) 1.90135e6 + 3.29324e6i 0.403432 + 0.698766i 0.994138 0.108122i \(-0.0344837\pi\)
−0.590705 + 0.806887i \(0.701150\pi\)
\(468\) −1.52029e6 + 1.52580e6i −0.320856 + 0.322020i
\(469\) −3.54628e6 + 6.14233e6i −0.744458 + 1.28944i
\(470\) 1.15573e6 + 6.55445e6i 0.241329 + 1.36865i
\(471\) −6.63861e6 + 2.75685e6i −1.37887 + 0.572612i
\(472\) −3.04404e6 + 1.10794e6i −0.628920 + 0.228908i
\(473\) −1.72050e6 + 626209.i −0.353591 + 0.128696i
\(474\) 1.25746e6 9.61866e6i 0.257068 1.96639i
\(475\) −1.09343e6 6.20118e6i −0.222361 1.26107i
\(476\) −752677. + 1.30367e6i −0.152262 + 0.263725i
\(477\) 487412. 1.05022e6i 0.0980844 0.211341i
\(478\) −2.77055e6 4.79873e6i −0.554621 0.960631i
\(479\) −4.13381e6 + 3.46868e6i −0.823212 + 0.690757i −0.953722 0.300690i \(-0.902783\pi\)
0.130510 + 0.991447i \(0.458339\pi\)
\(480\) −2.24440e6 1.00806e7i −0.444628 1.99703i
\(481\) −269092. + 1.52609e6i −0.0530319 + 0.300759i
\(482\) 5.43610e6 + 4.56143e6i 1.06579 + 0.894300i
\(483\) −3.80924e6 5.96738e6i −0.742969 1.16390i
\(484\) 3.36588e6 + 1.22508e6i 0.653108 + 0.237712i
\(485\) 4.09908e6 0.791284
\(486\) 5.02198e6 6.60648e6i 0.964460 1.26876i
\(487\) 467705. 0.0893614 0.0446807 0.999001i \(-0.485773\pi\)
0.0446807 + 0.999001i \(0.485773\pi\)
\(488\) 1.34201e6 + 488452.i 0.255097 + 0.0928479i
\(489\) −2.76525e6 4.33191e6i −0.522952 0.819233i
\(490\) −1.29335e7 1.08525e7i −2.43348 2.04193i
\(491\) −861542. + 4.88605e6i −0.161277 + 0.914648i 0.791543 + 0.611113i \(0.209278\pi\)
−0.952820 + 0.303535i \(0.901833\pi\)
\(492\) −393732. 1.76843e6i −0.0733310 0.329363i
\(493\) 42102.1 35327.9i 0.00780166 0.00654637i
\(494\) 715529. + 1.23933e6i 0.131920 + 0.228492i
\(495\) 3.08023e6 6.63693e6i 0.565028 1.21746i
\(496\) 481282. 833605.i 0.0878407 0.152145i
\(497\) 748753. + 4.24639e6i 0.135971 + 0.771132i
\(498\) −2.17435e6 + 1.66322e7i −0.392876 + 3.00522i
\(499\) −2.24027e6 + 815391.i −0.402762 + 0.146594i −0.535455 0.844564i \(-0.679860\pi\)
0.132693 + 0.991157i \(0.457638\pi\)
\(500\) −1.88111e7 + 6.84666e6i −3.36502 + 1.22477i
\(501\) −1.93294e6 + 802703.i −0.344053 + 0.142876i
\(502\) 1.96342e6 + 1.11351e7i 0.347739 + 1.97212i
\(503\) 2.57139e6 4.45378e6i 0.453157 0.784890i −0.545424 0.838161i \(-0.683631\pi\)
0.998580 + 0.0532703i \(0.0169645\pi\)
\(504\) 5.01926e6 5.03748e6i 0.880164 0.883358i
\(505\) 7.85986e6 + 1.36137e7i 1.37147 + 2.37546i
\(506\) 4.96274e6 4.16423e6i 0.861678 0.723034i
\(507\) −5.04042e6 1.58422e6i −0.870858 0.273714i
\(508\) −1.93340e6 + 1.09648e7i −0.332401 + 1.88514i
\(509\) 3.68755e6 + 3.09422e6i 0.630874 + 0.529366i 0.901201 0.433402i \(-0.142687\pi\)
−0.270326 + 0.962769i \(0.587132\pi\)
\(510\) 1.06696e6 2.05416e6i 0.181645 0.349711i
\(511\) 4.99015e6 + 1.81627e6i 0.845398 + 0.307700i
\(512\) −1.98896e6 −0.335313
\(513\) −2.04217e6 2.64649e6i −0.342609 0.443994i
\(514\) 9.39768e6 1.56896
\(515\) −9.00672e6 3.27818e6i −1.49640 0.544646i
\(516\) 4.72668e6 210660.i 0.781506 0.0348303i
\(517\) 1.65961e6 + 1.39258e6i 0.273073 + 0.229136i
\(518\) 2.53382e6 1.43700e7i 0.414907 2.35305i
\(519\) −941589. + 864377.i −0.153442 + 0.140859i
\(520\) 2.17413e6 1.82431e6i 0.352595 0.295863i
\(521\) 3.63608e6 + 6.29788e6i 0.586866 + 1.01648i 0.994640 + 0.103399i \(0.0329719\pi\)
−0.407774 + 0.913083i \(0.633695\pi\)
\(522\) −670537. + 314156.i −0.107708 + 0.0504626i
\(523\) 3.25935e6 5.64537e6i 0.521048 0.902481i −0.478653 0.878004i \(-0.658875\pi\)
0.999700 0.0244767i \(-0.00779195\pi\)
\(524\) −3.16797e6 1.79664e7i −0.504026 2.85847i
\(525\) 1.65901e7 + 1.27062e7i 2.62695 + 2.01195i
\(526\) −246296. + 89644.3i −0.0388144 + 0.0141273i
\(527\) 852238. 310189.i 0.133670 0.0486519i
\(528\) −634879. 486247.i −0.0991074 0.0759053i
\(529\) −102908. 583623.i −0.0159886 0.0906761i
\(530\) −2.17556e6 + 3.76818e6i −0.336420 + 0.582696i
\(531\) −4.14483e6 2.89107e6i −0.637926 0.444961i
\(532\) −4.08491e6 7.07527e6i −0.625754 1.08384i
\(533\) −324983. + 272693.i −0.0495499 + 0.0415773i
\(534\) 1.08794e7 9.98725e6i 1.65101 1.51563i
\(535\) 1.96129e6 1.11230e7i 0.296250 1.68012i
\(536\) 4.50482e6 + 3.78000e6i 0.677276 + 0.568302i
\(537\) −8.08529e6 + 360347.i −1.20993 + 0.0539243i
\(538\) −5.63381e6 2.05054e6i −0.839163 0.305430i
\(539\) −5.49579e6 −0.814814
\(540\) −1.27361e7 + 1.39751e7i −1.87955 + 2.06238i
\(541\) −1.14604e7 −1.68347 −0.841736 0.539890i \(-0.818466\pi\)
−0.841736 + 0.539890i \(0.818466\pi\)
\(542\) 1.56686e6 + 570290.i 0.229104 + 0.0833869i
\(543\) −2.58278e6 + 4.97246e6i −0.375914 + 0.723722i
\(544\) −814684. 683601.i −0.118030 0.0990388i
\(545\) 2.72400e6 1.54486e7i 0.392840 2.22791i
\(546\) −4.53064e6 1.42400e6i −0.650396 0.204422i
\(547\) 6.90365e6 5.79285e6i 0.986530 0.827797i 0.00146815 0.999999i \(-0.499533\pi\)
0.985062 + 0.172202i \(0.0550882\pi\)
\(548\) 5.45392e6 + 9.44646e6i 0.775813 + 1.34375i
\(549\) 580521. + 2.15095e6i 0.0822029 + 0.304578i
\(550\) −9.56122e6 + 1.65605e7i −1.34774 + 2.33436i
\(551\) 51795.8 + 293748.i 0.00726801 + 0.0412189i
\(552\) −5.42099e6 + 2.25120e6i −0.757236 + 0.314461i
\(553\) 1.21856e7 4.43521e6i 1.69448 0.616739i
\(554\) 3.04457e6 1.10813e6i 0.421455 0.153397i
\(555\) −1.76338e6 + 1.34886e7i −0.243005 + 1.85881i
\(556\) −2.70974e6 1.53677e7i −0.371742 2.10825i
\(557\) −707806. + 1.22596e6i −0.0966666 + 0.167431i −0.910303 0.413943i \(-0.864151\pi\)
0.813636 + 0.581374i \(0.197485\pi\)
\(558\) −1.21707e7 + 1.08701e6i −1.65474 + 0.147791i
\(559\) −553950. 959469.i −0.0749792 0.129868i
\(560\) 2.51581e6 2.11101e6i 0.339006 0.284460i
\(561\) −163747. 735465.i −0.0219668 0.0986631i
\(562\) 1.76773e6 1.00253e7i 0.236088 1.33892i
\(563\) −6.05562e6 5.08127e6i −0.805170 0.675618i 0.144279 0.989537i \(-0.453914\pi\)
−0.949450 + 0.313919i \(0.898358\pi\)
\(564\) −3.01234e6 4.71900e6i −0.398756 0.624672i
\(565\) −1.83363e7 6.67388e6i −2.41652 0.879543i
\(566\) 290715. 0.0381440
\(567\) 1.09319e7 + 1.88679e6i 1.42803 + 0.246471i
\(568\) 3.57511e6 0.464963
\(569\) 837405. + 304790.i 0.108431 + 0.0394658i 0.395666 0.918394i \(-0.370514\pi\)
−0.287235 + 0.957860i \(0.592736\pi\)
\(570\) 6.75939e6 + 1.05890e7i 0.871406 + 1.36510i
\(571\) 3.19117e6 + 2.67771e6i 0.409599 + 0.343694i 0.824190 0.566313i \(-0.191631\pi\)
−0.414591 + 0.910008i \(0.636075\pi\)
\(572\) 457539. 2.59483e6i 0.0584707 0.331604i
\(573\) 298160. + 1.33917e6i 0.0379370 + 0.170393i
\(574\) 3.06010e6 2.56773e6i 0.387665 0.325289i
\(575\) −8.62452e6 1.49381e7i −1.08784 1.88420i
\(576\) 7.46801e6 + 1.06244e7i 0.937883 + 1.33429i
\(577\) −3.40354e6 + 5.89511e6i −0.425590 + 0.737144i −0.996475 0.0838860i \(-0.973267\pi\)
0.570885 + 0.821030i \(0.306600\pi\)
\(578\) 2.18141e6 + 1.23714e7i 0.271593 + 1.54028i
\(579\) 1.36991e6 1.04788e7i 0.169822 1.29901i
\(580\) 1.58542e6 577045.i 0.195692 0.0712261i
\(581\) −2.10709e7 + 7.66918e6i −2.58966 + 0.942559i
\(582\) −5.25225e6 + 2.18113e6i −0.642744 + 0.266915i
\(583\) 245945. + 1.39482e6i 0.0299686 + 0.169961i
\(584\) 2.20150e6 3.81311e6i 0.267108 0.462645i
\(585\) 4.27870e6 + 1.13817e6i 0.516919 + 0.137505i
\(586\) −1.42861e6 2.47442e6i −0.171858 0.297666i
\(587\) 5.89893e6 4.94979e6i 0.706607 0.592913i −0.217038 0.976163i \(-0.569640\pi\)
0.923645 + 0.383250i \(0.125195\pi\)
\(588\) 1.35486e7 + 4.25836e6i 1.61603 + 0.507924i
\(589\) −854710. + 4.84730e6i −0.101515 + 0.575721i
\(590\) 1.45482e7 + 1.22074e7i 1.72060 + 1.44375i
\(591\) 4.15726e6 8.00371e6i 0.489597 0.942590i
\(592\) 1.39711e6 + 508506.i 0.163842 + 0.0596337i
\(593\) −579753. −0.0677028 −0.0338514 0.999427i \(-0.510777\pi\)
−0.0338514 + 0.999427i \(0.510777\pi\)
\(594\) −415253. + 1.01430e7i −0.0482888 + 1.17951i
\(595\) 3.09435e6 0.358324
\(596\) 1.01147e7 + 3.68146e6i 1.16637 + 0.424526i
\(597\) −9.24535e6 + 412049.i −1.06167 + 0.0473165i
\(598\) 3.00299e6 + 2.51981e6i 0.343401 + 0.288147i
\(599\) −1.59693e6 + 9.05661e6i −0.181852 + 1.03133i 0.748082 + 0.663606i \(0.230975\pi\)
−0.929934 + 0.367727i \(0.880136\pi\)
\(600\) 1.27636e7 1.17170e7i 1.44742 1.32873i
\(601\) −2.71673e6 + 2.27961e6i −0.306803 + 0.257439i −0.783169 0.621808i \(-0.786398\pi\)
0.476366 + 0.879247i \(0.341954\pi\)
\(602\) 5.21610e6 + 9.03454e6i 0.586616 + 1.01605i
\(603\) −783001. + 9.14036e6i −0.0876938 + 1.02369i
\(604\) 290625. 503378.i 0.0324146 0.0561438i
\(605\) −1.27854e6 7.25094e6i −0.142012 0.805390i
\(606\) −1.73149e7 1.32613e7i −1.91531 1.46691i
\(607\) 1.06836e7 3.88853e6i 1.17692 0.428365i 0.321809 0.946805i \(-0.395709\pi\)
0.855114 + 0.518440i \(0.173487\pi\)
\(608\) 5.42369e6 1.97406e6i 0.595026 0.216572i
\(609\) −785870. 601890.i −0.0858633 0.0657618i
\(610\) −1.45389e6 8.24540e6i −0.158200 0.897196i
\(611\) −655472. + 1.13531e6i −0.0710316 + 0.123030i
\(612\) −166188. + 1.93999e6i −0.0179358 + 0.209373i
\(613\) 2.60178e6 + 4.50641e6i 0.279653 + 0.484373i 0.971298 0.237864i \(-0.0764473\pi\)
−0.691646 + 0.722237i \(0.743114\pi\)
\(614\) −8.92575e6 + 7.48959e6i −0.955485 + 0.801747i
\(615\) −2.74343e6 + 2.51847e6i −0.292487 + 0.268502i
\(616\) −1.51058e6 + 8.56691e6i −0.160395 + 0.909646i
\(617\) −8.30827e6 6.97147e6i −0.878613 0.737244i 0.0872804 0.996184i \(-0.472182\pi\)
−0.965893 + 0.258940i \(0.916627\pi\)
\(618\) 1.32848e7 592082.i 1.39922 0.0623606i
\(619\) 9.28309e6 + 3.37877e6i 0.973791 + 0.354431i 0.779423 0.626498i \(-0.215512\pi\)
0.194368 + 0.980929i \(0.437734\pi\)
\(620\) 2.78408e7 2.90873
\(621\) −7.73629e6 4.89906e6i −0.805014 0.509782i
\(622\) −1.04709e7 −1.08520
\(623\) 1.85519e7 + 6.75233e6i 1.91499 + 0.697001i
\(624\) 223051. 429426.i 0.0229321 0.0441496i
\(625\) 1.44404e7 + 1.21169e7i 1.47870 + 1.24077i
\(626\) −2.60056e6 + 1.47485e7i −0.265235 + 1.50422i
\(627\) 3.90108e6 + 1.22612e6i 0.396293 + 0.124556i
\(628\) −1.74072e7 + 1.46064e7i −1.76128 + 1.47789i
\(629\) 700421. + 1.21316e6i 0.0705883 + 0.122262i
\(630\) −4.02890e7 1.07173e7i −4.04423 1.07580i
\(631\) −488750. + 846539.i −0.0488667 + 0.0846396i −0.889424 0.457083i \(-0.848894\pi\)
0.840557 + 0.541722i \(0.182228\pi\)
\(632\) −1.86704e6 1.05885e7i −0.185935 1.05449i
\(633\) 9.21106e6 3.82512e6i 0.913693 0.379434i
\(634\) −5.42925e6 + 1.97608e6i −0.536434 + 0.195246i
\(635\) 2.15064e7 7.82768e6i 2.11657 0.770369i
\(636\) 474447. 3.62918e6i 0.0465099 0.355767i
\(637\) −577475. 3.27502e6i −0.0563877 0.319791i
\(638\) 452913. 784468.i 0.0440517 0.0762999i
\(639\) 3.20722e6 + 4.56278e6i 0.310726 + 0.442056i
\(640\) −1.38019e7 2.39056e7i −1.33195 2.30701i
\(641\) 2.33602e6 1.96015e6i 0.224560 0.188428i −0.523566 0.851985i \(-0.675399\pi\)
0.748125 + 0.663557i \(0.230954\pi\)
\(642\) 3.40554e6 + 1.52958e7i 0.326098 + 1.46465i
\(643\) −552509. + 3.13344e6i −0.0527002 + 0.298878i −0.999754 0.0221985i \(-0.992933\pi\)
0.947053 + 0.321076i \(0.104045\pi\)
\(644\) −1.71439e7 1.43854e7i −1.62890 1.36681i
\(645\) −5.23300e6 8.19777e6i −0.495281 0.775884i
\(646\) 1.21563e6 + 442454.i 0.114610 + 0.0417145i
\(647\) 1.64118e6 0.154133 0.0770666 0.997026i \(-0.475445\pi\)
0.0770666 + 0.997026i \(0.475445\pi\)
\(648\) 3.11456e6 8.65459e6i 0.291380 0.809672i
\(649\) 6.18190e6 0.576117
\(650\) −1.08733e7 3.95756e6i −1.00944 0.367404i
\(651\) −8.78902e6 1.37685e7i −0.812808 1.27331i
\(652\) −1.24453e7 1.04428e7i −1.14653 0.962054i
\(653\) 2.73195e6 1.54936e7i 0.250720 1.42190i −0.556104 0.831113i \(-0.687704\pi\)
0.806824 0.590792i \(-0.201185\pi\)
\(654\) 4.72988e6 + 2.12441e7i 0.432420 + 1.94220i
\(655\) −2.87273e7 + 2.41051e7i −2.61632 + 2.19536i
\(656\) 203512. + 352494.i 0.0184642 + 0.0319810i
\(657\) 6.84149e6 611040.i 0.618355 0.0552276i
\(658\) 6.17205e6 1.06903e7i 0.555731 0.962554i
\(659\) 468562. + 2.65735e6i 0.0420295 + 0.238361i 0.998584 0.0531915i \(-0.0169394\pi\)
−0.956555 + 0.291552i \(0.905828\pi\)
\(660\) 2.99830e6 2.29348e7i 0.267926 2.04944i
\(661\) −5.98780e6 + 2.17938e6i −0.533045 + 0.194012i −0.594497 0.804098i \(-0.702649\pi\)
0.0614527 + 0.998110i \(0.480427\pi\)
\(662\) −1.41489e7 + 5.14978e6i −1.25481 + 0.456713i
\(663\) 421068. 174859.i 0.0372022 0.0154491i
\(664\) 3.22841e6 + 1.83092e7i 0.284164 + 1.61157i
\(665\) −8.39678e6 + 1.45436e7i −0.736306 + 1.27532i
\(666\) −4.91784e6 1.82216e7i −0.429624 1.59184i
\(667\) 408542. + 707615.i 0.0355568 + 0.0615861i
\(668\) −5.06840e6 + 4.25289e6i −0.439470 + 0.368759i
\(669\) 469895. + 147690.i 0.0405915 + 0.0127581i
\(670\) 5.98666e6 3.39520e7i 0.515226 2.92199i
\(671\) −2.08776e6 1.75184e6i −0.179009 0.150206i
\(672\) −8.82911e6 + 1.69981e7i −0.754213 + 1.45204i
\(673\) −934186. 340016.i −0.0795052 0.0289375i 0.301961 0.953320i \(-0.402359\pi\)
−0.381467 + 0.924383i \(0.624581\pi\)
\(674\) −139905. −0.0118627
\(675\) 2.64041e7 + 5.77844e6i 2.23055 + 0.488148i
\(676\) −1.67022e7 −1.40575
\(677\) −1.07407e7 3.90930e6i −0.900662 0.327814i −0.150144 0.988664i \(-0.547974\pi\)
−0.750518 + 0.660850i \(0.770196\pi\)
\(678\) 2.70460e7 1.20539e6i 2.25958 0.100705i
\(679\) −5.82392e6 4.88685e6i −0.484776 0.406775i
\(680\) 445513. 2.52663e6i 0.0369478 0.209541i
\(681\) −4.14007e6 + 3.80058e6i −0.342090 + 0.314038i
\(682\) 1.14505e7 9.60809e6i 0.942676 0.790999i
\(683\) −3.71310e6 6.43129e6i −0.304569 0.527529i 0.672596 0.740010i \(-0.265179\pi\)
−0.977165 + 0.212481i \(0.931846\pi\)
\(684\) −8.66713e6 6.04543e6i −0.708329 0.494068i
\(685\) 1.12109e7 1.94178e7i 0.912877 1.58115i
\(686\) 494453. + 2.80418e6i 0.0401157 + 0.227507i
\(687\) −1.93064e7 1.47866e7i −1.56067 1.19530i
\(688\) −998850. + 363552.i −0.0804506 + 0.0292816i
\(689\) −805354. + 293125.i −0.0646307 + 0.0235236i
\(690\) 2.73203e7 + 2.09243e7i 2.18455 + 1.67313i
\(691\) 698348. + 3.96053e6i 0.0556387 + 0.315543i 0.999907 0.0136339i \(-0.00433994\pi\)
−0.944268 + 0.329177i \(0.893229\pi\)
\(692\) −2.02028e6 + 3.49922e6i −0.160378 + 0.277783i
\(693\) −1.22888e7 + 5.75746e6i −0.972020 + 0.455405i
\(694\) 1.63784e7 + 2.83683e7i 1.29084 + 2.23581i
\(695\) −2.45721e7 + 2.06184e7i −1.92966 + 1.61917i
\(696\) −604609. + 555030.i −0.0473098 + 0.0434303i
\(697\) −66594.2 + 377674.i −0.00519224 + 0.0294466i
\(698\) 2.02432e7 + 1.69861e7i 1.57268 + 1.31964i
\(699\) 1.34949e7 601442.i 1.04466 0.0465587i
\(700\) 6.20750e7 + 2.25935e7i 4.78819 + 1.74276i
\(701\) 9.28437e6 0.713604 0.356802 0.934180i \(-0.383867\pi\)
0.356802 + 0.934180i \(0.383867\pi\)
\(702\) −6.08802e6 + 818334.i −0.466266 + 0.0626741i
\(703\) −7.60261e6 −0.580196
\(704\) −1.49282e7 5.43343e6i −1.13521 0.413183i
\(705\) −5.30458e6 + 1.02126e7i −0.401956 + 0.773859i
\(706\) 1.19692e7 + 1.00434e7i 0.903761 + 0.758346i
\(707\) 5.06279e6 2.87125e7i 0.380927 2.16034i
\(708\) −1.52400e7 4.78999e6i −1.14262 0.359130i
\(709\) 1.42065e7 1.19207e7i 1.06138 0.890606i 0.0671383 0.997744i \(-0.478613\pi\)
0.994244 + 0.107138i \(0.0341687\pi\)
\(710\) −1.04797e7 1.81514e7i −0.780197 1.35134i
\(711\) 1.18388e7 1.18818e7i 0.878282 0.881469i
\(712\) 8.18452e6 1.41760e7i 0.605053 1.04798i
\(713\) 2.34132e6 + 1.32783e7i 0.172480 + 0.978180i
\(714\) −3.96486e6 + 1.64651e6i −0.291060 + 0.120870i
\(715\) −5.08949e6 + 1.85242e6i −0.372314 + 0.135511i
\(716\) −2.40415e7 + 8.75039e6i −1.75259 + 0.637889i
\(717\) 1.24197e6 9.50020e6i 0.0902225 0.690136i
\(718\) 3.18008e6 + 1.80351e7i 0.230211 + 1.30559i
\(719\) −2.86890e6 + 4.96908e6i −0.206963 + 0.358471i −0.950757 0.309939i \(-0.899691\pi\)
0.743793 + 0.668410i \(0.233025\pi\)
\(720\) 1.78826e6 3.85313e6i 0.128558 0.277002i
\(721\) 8.88844e6 + 1.53952e7i 0.636777 + 1.10293i
\(722\) 1.17222e7 9.83609e6i 0.836885 0.702230i
\(723\) 2.66659e6 + 1.19769e7i 0.189719 + 0.852116i
\(724\) −3.07580e6 + 1.74437e7i −0.218078 + 1.23678i
\(725\) −1.84755e6 1.55028e6i −0.130542 0.109538i
\(726\) 5.49646e6 + 8.61049e6i 0.387027 + 0.606298i
\(727\) 4.76401e6 + 1.73396e6i 0.334300 + 0.121675i 0.503716 0.863869i \(-0.331966\pi\)
−0.169416 + 0.985545i \(0.554188\pi\)
\(728\) −5.26387e6 −0.368110
\(729\) 1.38396e7 3.78902e6i 0.964505 0.264063i
\(730\) −2.58131e7 −1.79280
\(731\) −941121. 342540.i −0.0651406 0.0237093i
\(732\) 3.78948e6 + 5.93643e6i 0.261398 + 0.409494i
\(733\) −1.66724e7 1.39898e7i −1.14614 0.961725i −0.146517 0.989208i \(-0.546806\pi\)
−0.999622 + 0.0274836i \(0.991251\pi\)
\(734\) −225767. + 1.28039e6i −0.0154675 + 0.0877206i
\(735\) −6.34434e6 2.84954e7i −0.433180 1.94561i
\(736\) 1.21117e7 1.01629e7i 0.824159 0.691552i
\(737\) −5.61114e6 9.71878e6i −0.380524 0.659087i
\(738\) 2.17514e6 4.68675e6i 0.147010 0.316761i
\(739\) −2.80990e6 + 4.86688e6i −0.189269 + 0.327823i −0.945007 0.327051i \(-0.893945\pi\)
0.755738 + 0.654874i \(0.227278\pi\)
\(740\) 7.46735e6 + 4.23495e7i 0.501288 + 2.84295i
\(741\) −320756. + 2.45355e6i −0.0214600 + 0.164153i
\(742\) 7.58336e6 2.76012e6i 0.505652 0.184042i
\(743\) 2.38078e6 866532.i 0.158215 0.0575854i −0.261699 0.965150i \(-0.584283\pi\)
0.419913 + 0.907564i \(0.362060\pi\)
\(744\) −1.25078e7 + 5.19418e6i −0.828416 + 0.344020i
\(745\) −3.84210e6 2.17896e7i −0.253617 1.43833i
\(746\) 1.80379e7 3.12426e7i 1.18670 2.05542i
\(747\) −2.04712e7 + 2.05455e7i −1.34228 + 1.34715i
\(748\) −1.19093e6 2.06276e6i −0.0778275 0.134801i
\(749\) −1.60473e7 + 1.34652e7i −1.04519 + 0.877020i
\(750\) −5.44637e7 1.71181e7i −3.53553 1.11123i
\(751\) −3.45262e6 + 1.95808e7i −0.223383 + 1.26687i 0.642370 + 0.766394i \(0.277951\pi\)
−0.865753 + 0.500471i \(0.833160\pi\)
\(752\) 963502. + 808474.i 0.0621309 + 0.0521341i
\(753\) −9.01173e6 + 1.73497e7i −0.579190 + 1.11508i
\(754\) 515066. + 187469.i 0.0329940 + 0.0120088i
\(755\) −1.19480e6 −0.0762827
\(756\) 3.47561e7 4.67182e6i 2.21170 0.297291i
\(757\) 2.39848e7 1.52124 0.760619 0.649199i \(-0.224896\pi\)
0.760619 + 0.649199i \(0.224896\pi\)
\(758\) −3.72833e7 1.35700e7i −2.35690 0.857842i