Properties

Label 43.6.c.a.6.17
Level $43$
Weight $6$
Character 43.6
Analytic conductor $6.897$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 43.c (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(34\)
Relative dimension: \(17\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 6.17
Character \(\chi\) \(=\) 43.6
Dual form 43.6.c.a.36.17

$q$-expansion

\(f(q)\) \(=\) \(q+9.96731 q^{2} +(-9.83333 + 17.0318i) q^{3} +67.3472 q^{4} +(6.65929 - 11.5342i) q^{5} +(-98.0118 + 169.761i) q^{6} +(61.0081 + 105.669i) q^{7} +352.316 q^{8} +(-71.8888 - 124.515i) q^{9} +O(q^{10})\) \(q+9.96731 q^{2} +(-9.83333 + 17.0318i) q^{3} +67.3472 q^{4} +(6.65929 - 11.5342i) q^{5} +(-98.0118 + 169.761i) q^{6} +(61.0081 + 105.669i) q^{7} +352.316 q^{8} +(-71.8888 - 124.515i) q^{9} +(66.3751 - 114.965i) q^{10} -64.2046 q^{11} +(-662.247 + 1147.05i) q^{12} +(38.2202 + 66.1993i) q^{13} +(608.087 + 1053.24i) q^{14} +(130.966 + 226.840i) q^{15} +1356.53 q^{16} +(-984.059 - 1704.44i) q^{17} +(-716.538 - 1241.08i) q^{18} +(1244.22 - 2155.06i) q^{19} +(448.484 - 776.797i) q^{20} -2399.65 q^{21} -639.947 q^{22} +(2292.28 - 3970.35i) q^{23} +(-3464.44 + 6000.59i) q^{24} +(1473.81 + 2552.71i) q^{25} +(380.952 + 659.828i) q^{26} -1951.37 q^{27} +(4108.72 + 7116.52i) q^{28} +(887.712 + 1537.56i) q^{29} +(1305.38 + 2260.98i) q^{30} +(-721.458 + 1249.60i) q^{31} +2246.86 q^{32} +(631.345 - 1093.52i) q^{33} +(-9808.42 - 16988.7i) q^{34} +1625.08 q^{35} +(-4841.51 - 8385.74i) q^{36} +(-4283.83 + 7419.81i) q^{37} +(12401.6 - 21480.1i) q^{38} -1503.33 q^{39} +(2346.17 - 4063.69i) q^{40} -4836.07 q^{41} -23918.1 q^{42} +(2285.74 + 11907.3i) q^{43} -4324.00 q^{44} -1914.91 q^{45} +(22847.9 - 39573.7i) q^{46} -9504.55 q^{47} +(-13339.2 + 23104.2i) q^{48} +(959.520 - 1661.94i) q^{49} +(14689.9 + 25443.6i) q^{50} +38706.3 q^{51} +(2574.02 + 4458.33i) q^{52} +(-10269.9 + 17787.9i) q^{53} -19449.9 q^{54} +(-427.557 + 740.550i) q^{55} +(21494.1 + 37228.9i) q^{56} +(24469.7 + 42382.8i) q^{57} +(8848.10 + 15325.4i) q^{58} -12309.9 q^{59} +(8820.19 + 15277.0i) q^{60} +(-9716.67 - 16829.8i) q^{61} +(-7190.99 + 12455.2i) q^{62} +(8771.60 - 15192.9i) q^{63} -21013.9 q^{64} +1018.08 q^{65} +(6292.81 - 10899.5i) q^{66} +(34280.7 - 59375.9i) q^{67} +(-66273.6 - 114789. i) q^{68} +(45081.6 + 78083.6i) q^{69} +16197.7 q^{70} +(21742.0 + 37658.3i) q^{71} +(-25327.6 - 43868.7i) q^{72} +(27405.2 + 47467.3i) q^{73} +(-42698.2 + 73955.5i) q^{74} -57969.8 q^{75} +(83795.0 - 145137. i) q^{76} +(-3917.00 - 6784.45i) q^{77} -14984.1 q^{78} +(-14291.6 - 24753.9i) q^{79} +(9033.54 - 15646.5i) q^{80} +(36657.5 - 63492.6i) q^{81} -48202.6 q^{82} +(-3057.73 + 5296.14i) q^{83} -161610. q^{84} -26212.5 q^{85} +(22782.7 + 118684. i) q^{86} -34916.7 q^{87} -22620.3 q^{88} +(-37106.7 + 64270.7i) q^{89} -19086.5 q^{90} +(-4663.48 + 8077.38i) q^{91} +(154379. - 267392. i) q^{92} +(-14188.7 - 24575.5i) q^{93} -94734.7 q^{94} +(-16571.3 - 28702.3i) q^{95} +(-22094.1 + 38268.1i) q^{96} +65857.2 q^{97} +(9563.82 - 16565.0i) q^{98} +(4615.60 + 7994.45i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 14q^{2} - 14q^{3} + 454q^{4} + 71q^{5} + 15q^{6} + 225q^{7} - 936q^{8} - 1011q^{9} + O(q^{10}) \) \( 34q - 14q^{2} - 14q^{3} + 454q^{4} + 71q^{5} + 15q^{6} + 225q^{7} - 936q^{8} - 1011q^{9} - 317q^{10} + 1326q^{11} - 648q^{12} + 1006q^{13} - 1272q^{14} + 683q^{15} + 3574q^{16} + 200q^{17} + 1861q^{18} + 3361q^{19} + 3825q^{20} - 1320q^{21} - 8768q^{22} + 560q^{23} - 7382q^{24} - 3232q^{25} - 3201q^{26} - 122q^{27} + 13934q^{28} + 8887q^{29} - 19449q^{30} - 6749q^{31} - 19086q^{32} + 7106q^{33} + 8423q^{34} + 31118q^{35} - 14112q^{36} - 4514q^{37} + 7072q^{38} - 5404q^{39} - 18519q^{40} - 28996q^{41} + 58118q^{42} - 14998q^{43} + 71050q^{44} - 92096q^{45} + 20052q^{46} - 10742q^{47} + 32927q^{48} + 7472q^{49} + 20362q^{50} + 20250q^{51} + 59532q^{52} - 50572q^{53} - 230084q^{54} + 38544q^{55} - 40355q^{56} - 18087q^{57} - 33436q^{58} + 112654q^{59} + 134093q^{60} - 20120q^{61} - 31491q^{62} + 188227q^{63} + 125164q^{64} - 36578q^{65} + 8803q^{66} - 73824q^{67} - 128456q^{68} + 8005q^{69} - 141610q^{70} + 142842q^{71} + 98466q^{72} - 91624q^{73} - 99720q^{74} + 298358q^{75} + 258288q^{76} + 68051q^{77} - 201116q^{78} + 99734q^{79} - 31261q^{80} - 28441q^{81} - 147772q^{82} - 47340q^{83} - 624232q^{84} - 71734q^{85} - 115526q^{86} - 215924q^{87} - 720684q^{88} + 60402q^{89} + 676108q^{90} + 164172q^{91} + 78997q^{92} - 40793q^{93} - 341874q^{94} + 123541q^{95} - 442140q^{96} + 318476q^{97} + 217473q^{98} - 134770q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 9.96731 1.76199 0.880994 0.473128i \(-0.156875\pi\)
0.880994 + 0.473128i \(0.156875\pi\)
\(3\) −9.83333 + 17.0318i −0.630809 + 1.09259i 0.356578 + 0.934265i \(0.383943\pi\)
−0.987387 + 0.158327i \(0.949390\pi\)
\(4\) 67.3472 2.10460
\(5\) 6.65929 11.5342i 0.119125 0.206330i −0.800296 0.599605i \(-0.795324\pi\)
0.919421 + 0.393274i \(0.128658\pi\)
\(6\) −98.0118 + 169.761i −1.11148 + 1.92513i
\(7\) 61.0081 + 105.669i 0.470590 + 0.815085i 0.999434 0.0336333i \(-0.0107078\pi\)
−0.528844 + 0.848719i \(0.677375\pi\)
\(8\) 352.316 1.94629
\(9\) −71.8888 124.515i −0.295839 0.512408i
\(10\) 66.3751 114.965i 0.209897 0.363552i
\(11\) −64.2046 −0.159987 −0.0799935 0.996795i \(-0.525490\pi\)
−0.0799935 + 0.996795i \(0.525490\pi\)
\(12\) −662.247 + 1147.05i −1.32760 + 2.29947i
\(13\) 38.2202 + 66.1993i 0.0627241 + 0.108641i 0.895682 0.444695i \(-0.146688\pi\)
−0.832958 + 0.553336i \(0.813355\pi\)
\(14\) 608.087 + 1053.24i 0.829173 + 1.43617i
\(15\) 130.966 + 226.840i 0.150290 + 0.260310i
\(16\) 1356.53 1.32474
\(17\) −984.059 1704.44i −0.825846 1.43041i −0.901271 0.433255i \(-0.857365\pi\)
0.0754258 0.997151i \(-0.475968\pi\)
\(18\) −716.538 1241.08i −0.521264 0.902856i
\(19\) 1244.22 2155.06i 0.790705 1.36954i −0.134826 0.990869i \(-0.543048\pi\)
0.925531 0.378672i \(-0.123619\pi\)
\(20\) 448.484 776.797i 0.250710 0.434243i
\(21\) −2399.65 −1.18741
\(22\) −639.947 −0.281895
\(23\) 2292.28 3970.35i 0.903543 1.56498i 0.0806819 0.996740i \(-0.474290\pi\)
0.822861 0.568243i \(-0.192376\pi\)
\(24\) −3464.44 + 6000.59i −1.22774 + 2.12650i
\(25\) 1473.81 + 2552.71i 0.471619 + 0.816867i
\(26\) 380.952 + 659.828i 0.110519 + 0.191425i
\(27\) −1951.37 −0.515146
\(28\) 4108.72 + 7116.52i 0.990403 + 1.71543i
\(29\) 887.712 + 1537.56i 0.196010 + 0.339499i 0.947231 0.320552i \(-0.103868\pi\)
−0.751221 + 0.660050i \(0.770535\pi\)
\(30\) 1305.38 + 2260.98i 0.264809 + 0.458663i
\(31\) −721.458 + 1249.60i −0.134836 + 0.233543i −0.925535 0.378662i \(-0.876384\pi\)
0.790699 + 0.612206i \(0.209718\pi\)
\(32\) 2246.86 0.387883
\(33\) 631.345 1093.52i 0.100921 0.174801i
\(34\) −9808.42 16988.7i −1.45513 2.52036i
\(35\) 1625.08 0.224236
\(36\) −4841.51 8385.74i −0.622622 1.07841i
\(37\) −4283.83 + 7419.81i −0.514432 + 0.891022i 0.485428 + 0.874277i \(0.338664\pi\)
−0.999860 + 0.0167456i \(0.994669\pi\)
\(38\) 12401.6 21480.1i 1.39321 2.41311i
\(39\) −1503.33 −0.158267
\(40\) 2346.17 4063.69i 0.231852 0.401579i
\(41\) −4836.07 −0.449296 −0.224648 0.974440i \(-0.572123\pi\)
−0.224648 + 0.974440i \(0.572123\pi\)
\(42\) −23918.1 −2.09220
\(43\) 2285.74 + 11907.3i 0.188519 + 0.982070i
\(44\) −4324.00 −0.336708
\(45\) −1914.91 −0.140967
\(46\) 22847.9 39573.7i 1.59203 2.75748i
\(47\) −9504.55 −0.627606 −0.313803 0.949488i \(-0.601603\pi\)
−0.313803 + 0.949488i \(0.601603\pi\)
\(48\) −13339.2 + 23104.2i −0.835656 + 1.44740i
\(49\) 959.520 1661.94i 0.0570905 0.0988836i
\(50\) 14689.9 + 25443.6i 0.830986 + 1.43931i
\(51\) 38706.3 2.08380
\(52\) 2574.02 + 4458.33i 0.132009 + 0.228646i
\(53\) −10269.9 + 17787.9i −0.502198 + 0.869832i 0.497799 + 0.867292i \(0.334142\pi\)
−0.999997 + 0.00253957i \(0.999192\pi\)
\(54\) −19449.9 −0.907681
\(55\) −427.557 + 740.550i −0.0190584 + 0.0330102i
\(56\) 21494.1 + 37228.9i 0.915904 + 1.58639i
\(57\) 24469.7 + 42382.8i 0.997567 + 1.72784i
\(58\) 8848.10 + 15325.4i 0.345366 + 0.598192i
\(59\) −12309.9 −0.460388 −0.230194 0.973145i \(-0.573936\pi\)
−0.230194 + 0.973145i \(0.573936\pi\)
\(60\) 8820.19 + 15277.0i 0.316300 + 0.547848i
\(61\) −9716.67 16829.8i −0.334343 0.579100i 0.649015 0.760776i \(-0.275181\pi\)
−0.983358 + 0.181676i \(0.941848\pi\)
\(62\) −7190.99 + 12455.2i −0.237580 + 0.411500i
\(63\) 8771.60 15192.9i 0.278437 0.482268i
\(64\) −21013.9 −0.641294
\(65\) 1018.08 0.0298880
\(66\) 6292.81 10899.5i 0.177822 0.307996i
\(67\) 34280.7 59375.9i 0.932959 1.61593i 0.154725 0.987958i \(-0.450551\pi\)
0.778234 0.627974i \(-0.216116\pi\)
\(68\) −66273.6 114789.i −1.73807 3.01043i
\(69\) 45081.6 + 78083.6i 1.13993 + 1.97441i
\(70\) 16197.7 0.395101
\(71\) 21742.0 + 37658.3i 0.511864 + 0.886574i 0.999905 + 0.0137540i \(0.00437817\pi\)
−0.488041 + 0.872820i \(0.662289\pi\)
\(72\) −25327.6 43868.7i −0.575788 0.997294i
\(73\) 27405.2 + 47467.3i 0.601903 + 1.04253i 0.992533 + 0.121978i \(0.0389238\pi\)
−0.390630 + 0.920548i \(0.627743\pi\)
\(74\) −42698.2 + 73955.5i −0.906423 + 1.56997i
\(75\) −57969.8 −1.19000
\(76\) 83795.0 145137.i 1.66412 2.88234i
\(77\) −3917.00 6784.45i −0.0752882 0.130403i
\(78\) −14984.1 −0.278865
\(79\) −14291.6 24753.9i −0.257641 0.446247i 0.707969 0.706244i \(-0.249612\pi\)
−0.965609 + 0.259997i \(0.916278\pi\)
\(80\) 9033.54 15646.5i 0.157809 0.273334i
\(81\) 36657.5 63492.6i 0.620798 1.07525i
\(82\) −48202.6 −0.791655
\(83\) −3057.73 + 5296.14i −0.0487196 + 0.0843848i −0.889357 0.457214i \(-0.848847\pi\)
0.840637 + 0.541599i \(0.182181\pi\)
\(84\) −161610. −2.49902
\(85\) −26212.5 −0.393515
\(86\) 22782.7 + 118684.i 0.332168 + 1.73039i
\(87\) −34916.7 −0.494578
\(88\) −22620.3 −0.311381
\(89\) −37106.7 + 64270.7i −0.496567 + 0.860078i −0.999992 0.00396011i \(-0.998739\pi\)
0.503426 + 0.864039i \(0.332073\pi\)
\(90\) −19086.5 −0.248382
\(91\) −4663.48 + 8077.38i −0.0590346 + 0.102251i
\(92\) 154379. 267392.i 1.90160 3.29366i
\(93\) −14188.7 24575.5i −0.170112 0.294642i
\(94\) −94734.7 −1.10583
\(95\) −16571.3 28702.3i −0.188385 0.326293i
\(96\) −22094.1 + 38268.1i −0.244680 + 0.423798i
\(97\) 65857.2 0.710680 0.355340 0.934737i \(-0.384365\pi\)
0.355340 + 0.934737i \(0.384365\pi\)
\(98\) 9563.82 16565.0i 0.100593 0.174232i
\(99\) 4615.60 + 7994.45i 0.0473304 + 0.0819786i
\(100\) 99256.8 + 171918.i 0.992568 + 1.71918i
\(101\) −99361.1 172098.i −0.969199 1.67870i −0.697885 0.716210i \(-0.745875\pi\)
−0.271314 0.962491i \(-0.587458\pi\)
\(102\) 385798. 3.67163
\(103\) −12190.9 21115.3i −0.113225 0.196112i 0.803844 0.594841i \(-0.202785\pi\)
−0.917069 + 0.398729i \(0.869451\pi\)
\(104\) 13465.6 + 23323.1i 0.122079 + 0.211447i
\(105\) −15980.0 + 27678.1i −0.141450 + 0.244998i
\(106\) −102363. + 177298.i −0.884866 + 1.53263i
\(107\) 184018. 1.55382 0.776912 0.629609i \(-0.216785\pi\)
0.776912 + 0.629609i \(0.216785\pi\)
\(108\) −131419. −1.08418
\(109\) −104049. + 180219.i −0.838828 + 1.45289i 0.0520468 + 0.998645i \(0.483425\pi\)
−0.890875 + 0.454248i \(0.849908\pi\)
\(110\) −4261.59 + 7381.29i −0.0335807 + 0.0581635i
\(111\) −84248.7 145923.i −0.649016 1.12413i
\(112\) 82759.5 + 143344.i 0.623409 + 1.07978i
\(113\) 40753.9 0.300243 0.150122 0.988668i \(-0.452033\pi\)
0.150122 + 0.988668i \(0.452033\pi\)
\(114\) 243897. + 422442.i 1.75770 + 3.04443i
\(115\) −30529.9 52879.4i −0.215269 0.372857i
\(116\) 59784.9 + 103551.i 0.412522 + 0.714508i
\(117\) 5495.21 9517.98i 0.0371124 0.0642806i
\(118\) −122696. −0.811198
\(119\) 120071. 207969.i 0.777269 1.34627i
\(120\) 46141.4 + 79919.3i 0.292508 + 0.506639i
\(121\) −156929. −0.974404
\(122\) −96849.0 167747.i −0.589109 1.02037i
\(123\) 47554.7 82367.1i 0.283420 0.490898i
\(124\) −48588.2 + 84157.2i −0.283776 + 0.491515i
\(125\) 80878.6 0.462976
\(126\) 87429.3 151432.i 0.490603 0.849750i
\(127\) −248512. −1.36722 −0.683608 0.729849i \(-0.739590\pi\)
−0.683608 + 0.729849i \(0.739590\pi\)
\(128\) −281352. −1.51783
\(129\) −225280. 78158.1i −1.19192 0.413523i
\(130\) 10147.5 0.0526623
\(131\) −254368. −1.29504 −0.647522 0.762047i \(-0.724195\pi\)
−0.647522 + 0.762047i \(0.724195\pi\)
\(132\) 42519.3 73645.6i 0.212399 0.367885i
\(133\) 303631. 1.48839
\(134\) 341686. 591818.i 1.64386 2.84725i
\(135\) −12994.7 + 22507.6i −0.0613668 + 0.106290i
\(136\) −346700. 600502.i −1.60733 2.78399i
\(137\) −89866.3 −0.409068 −0.204534 0.978859i \(-0.565568\pi\)
−0.204534 + 0.978859i \(0.565568\pi\)
\(138\) 449342. + 778283.i 2.00853 + 3.47888i
\(139\) −155524. + 269376.i −0.682748 + 1.18255i 0.291390 + 0.956604i \(0.405882\pi\)
−0.974139 + 0.225951i \(0.927451\pi\)
\(140\) 109445. 0.471927
\(141\) 93461.4 161880.i 0.395899 0.685717i
\(142\) 216710. + 375352.i 0.901898 + 1.56213i
\(143\) −2453.91 4250.30i −0.0100350 0.0173812i
\(144\) −97519.5 168909.i −0.391909 0.678807i
\(145\) 23646.1 0.0933985
\(146\) 273156. + 473121.i 1.06054 + 1.83692i
\(147\) 18870.5 + 32684.7i 0.0720263 + 0.124753i
\(148\) −288504. + 499703.i −1.08267 + 1.87525i
\(149\) 67505.9 116924.i 0.249101 0.431456i −0.714175 0.699967i \(-0.753198\pi\)
0.963277 + 0.268511i \(0.0865314\pi\)
\(150\) −577802. −2.09677
\(151\) 233223. 0.832393 0.416197 0.909275i \(-0.363363\pi\)
0.416197 + 0.909275i \(0.363363\pi\)
\(152\) 438360. 759262.i 1.53894 2.66552i
\(153\) −141486. + 245060.i −0.488634 + 0.846340i
\(154\) −39042.0 67622.7i −0.132657 0.229769i
\(155\) 9608.79 + 16642.9i 0.0321247 + 0.0556417i
\(156\) −101245. −0.333090
\(157\) 171445. + 296952.i 0.555107 + 0.961473i 0.997895 + 0.0648469i \(0.0206559\pi\)
−0.442789 + 0.896626i \(0.646011\pi\)
\(158\) −142449. 246729.i −0.453960 0.786281i
\(159\) −201974. 349829.i −0.633581 1.09739i
\(160\) 14962.5 25915.8i 0.0462065 0.0800321i
\(161\) 559392. 1.70079
\(162\) 365376. 632850.i 1.09384 1.89458i
\(163\) 28679.6 + 49674.5i 0.0845481 + 0.146442i 0.905199 0.424989i \(-0.139722\pi\)
−0.820650 + 0.571431i \(0.806389\pi\)
\(164\) −325696. −0.945589
\(165\) −8408.62 14564.2i −0.0240444 0.0416462i
\(166\) −30477.3 + 52788.2i −0.0858432 + 0.148685i
\(167\) 66256.0 114759.i 0.183838 0.318416i −0.759347 0.650686i \(-0.774481\pi\)
0.943184 + 0.332270i \(0.107815\pi\)
\(168\) −845436. −2.31104
\(169\) 182725. 316489.i 0.492131 0.852397i
\(170\) −261268. −0.693369
\(171\) −357783. −0.935685
\(172\) 153938. + 801923.i 0.396757 + 2.06686i
\(173\) 159660. 0.405585 0.202792 0.979222i \(-0.434998\pi\)
0.202792 + 0.979222i \(0.434998\pi\)
\(174\) −348025. −0.871440
\(175\) −179828. + 311472.i −0.443878 + 0.768819i
\(176\) −87095.7 −0.211941
\(177\) 121047. 209660.i 0.290417 0.503016i
\(178\) −369854. + 640606.i −0.874944 + 1.51545i
\(179\) −41797.1 72394.7i −0.0975020 0.168878i 0.813148 0.582057i \(-0.197752\pi\)
−0.910650 + 0.413178i \(0.864419\pi\)
\(180\) −128964. −0.296679
\(181\) 155097. + 268635.i 0.351889 + 0.609490i 0.986580 0.163276i \(-0.0522060\pi\)
−0.634691 + 0.772766i \(0.718873\pi\)
\(182\) −46482.3 + 80509.8i −0.104018 + 0.180165i
\(183\) 382189. 0.843627
\(184\) 807609. 1.39882e6i 1.75856 3.04591i
\(185\) 57054.5 + 98821.3i 0.122563 + 0.212286i
\(186\) −141423. 244952.i −0.299735 0.519156i
\(187\) 63181.1 + 109433.i 0.132125 + 0.228846i
\(188\) −640104. −1.32086
\(189\) −119050. 206200.i −0.242423 0.419888i
\(190\) −165171. 286085.i −0.331933 0.574924i
\(191\) 116587. 201934.i 0.231241 0.400521i −0.726932 0.686709i \(-0.759055\pi\)
0.958174 + 0.286187i \(0.0923880\pi\)
\(192\) 206637. 357905.i 0.404534 0.700673i
\(193\) −304008. −0.587478 −0.293739 0.955886i \(-0.594900\pi\)
−0.293739 + 0.955886i \(0.594900\pi\)
\(194\) 656419. 1.25221
\(195\) −10011.1 + 17339.7i −0.0188536 + 0.0326554i
\(196\) 64620.9 111927.i 0.120153 0.208110i
\(197\) 378642. + 655827.i 0.695126 + 1.20399i 0.970138 + 0.242552i \(0.0779846\pi\)
−0.275013 + 0.961441i \(0.588682\pi\)
\(198\) 46005.1 + 79683.1i 0.0833955 + 0.144445i
\(199\) −615727. −1.10219 −0.551094 0.834443i \(-0.685789\pi\)
−0.551094 + 0.834443i \(0.685789\pi\)
\(200\) 519246. + 899361.i 0.917906 + 1.58986i
\(201\) 674187. + 1.16773e6i 1.17704 + 2.03869i
\(202\) −990362. 1.71536e6i −1.70772 2.95785i
\(203\) −108315. + 187608.i −0.184480 + 0.319529i
\(204\) 2.60676e6 4.38557
\(205\) −32204.8 + 55780.3i −0.0535224 + 0.0927035i
\(206\) −121511. 210462.i −0.199501 0.345547i
\(207\) −659159. −1.06921
\(208\) 51846.9 + 89801.4i 0.0830930 + 0.143921i
\(209\) −79884.9 + 138365.i −0.126502 + 0.219109i
\(210\) −159277. + 275876.i −0.249233 + 0.431684i
\(211\) 511196. 0.790463 0.395232 0.918581i \(-0.370664\pi\)
0.395232 + 0.918581i \(0.370664\pi\)
\(212\) −691646. + 1.19797e6i −1.05692 + 1.83065i
\(213\) −855187. −1.29155
\(214\) 1.83417e6 2.73782
\(215\) 152563. + 52929.9i 0.225088 + 0.0780917i
\(216\) −687500. −1.00262
\(217\) −176059. −0.253810
\(218\) −1.03709e6 + 1.79630e6i −1.47800 + 2.55998i
\(219\) −1.07794e6 −1.51874
\(220\) −28794.8 + 49874.0i −0.0401104 + 0.0694732i
\(221\) 75221.8 130288.i 0.103601 0.179442i
\(222\) −839732. 1.45446e6i −1.14356 1.98070i
\(223\) 256944. 0.346000 0.173000 0.984922i \(-0.444654\pi\)
0.173000 + 0.984922i \(0.444654\pi\)
\(224\) 137077. + 237424.i 0.182534 + 0.316158i
\(225\) 211901. 367023.i 0.279046 0.483322i
\(226\) 406207. 0.529025
\(227\) 220739. 382330.i 0.284324 0.492464i −0.688121 0.725596i \(-0.741564\pi\)
0.972445 + 0.233132i \(0.0748975\pi\)
\(228\) 1.64797e6 + 2.85436e6i 2.09948 + 3.63640i
\(229\) 238261. + 412680.i 0.300237 + 0.520025i 0.976189 0.216920i \(-0.0696010\pi\)
−0.675953 + 0.736945i \(0.736268\pi\)
\(230\) −304301. 527065.i −0.379301 0.656969i
\(231\) 154069. 0.189970
\(232\) 312755. + 541708.i 0.381491 + 0.660762i
\(233\) 18109.0 + 31365.7i 0.0218527 + 0.0378500i 0.876745 0.480956i \(-0.159710\pi\)
−0.854892 + 0.518806i \(0.826377\pi\)
\(234\) 54772.4 94868.6i 0.0653916 0.113262i
\(235\) −63293.5 + 109628.i −0.0747635 + 0.129494i
\(236\) −829036. −0.968932
\(237\) 562138. 0.650088
\(238\) 1.19679e6 2.07289e6i 1.36954 2.37211i
\(239\) 333746. 578066.i 0.377939 0.654610i −0.612823 0.790220i \(-0.709966\pi\)
0.990762 + 0.135611i \(0.0432996\pi\)
\(240\) 177660. + 307715.i 0.199095 + 0.344843i
\(241\) −109771. 190128.i −0.121743 0.210865i 0.798712 0.601713i \(-0.205515\pi\)
−0.920455 + 0.390848i \(0.872182\pi\)
\(242\) −1.56416e6 −1.71689
\(243\) 483839. + 838033.i 0.525636 + 0.910428i
\(244\) −654390. 1.13344e6i −0.703659 1.21877i
\(245\) −12779.4 22134.6i −0.0136018 0.0235590i
\(246\) 473992. 820978.i 0.499382 0.864956i
\(247\) 190218. 0.198385
\(248\) −254181. + 440255.i −0.262430 + 0.454543i
\(249\) −60135.3 104157.i −0.0614654 0.106461i
\(250\) 806141. 0.815758
\(251\) −685995. 1.18818e6i −0.687285 1.19041i −0.972713 0.232012i \(-0.925469\pi\)
0.285428 0.958400i \(-0.407864\pi\)
\(252\) 590743. 1.02320e6i 0.585999 1.01498i
\(253\) −147175. + 254915.i −0.144555 + 0.250377i
\(254\) −2.47699e6 −2.40902
\(255\) 257756. 446447.i 0.248233 0.429952i
\(256\) −2.13187e6 −2.03311
\(257\) 794811. 0.750639 0.375320 0.926895i \(-0.377533\pi\)
0.375320 + 0.926895i \(0.377533\pi\)
\(258\) −2.24543e6 779026.i −2.10015 0.728623i
\(259\) −1.04539e6 −0.968346
\(260\) 68564.5 0.0629022
\(261\) 127633. 221067.i 0.115974 0.200874i
\(262\) −2.53537e6 −2.28185
\(263\) 731593. 1.26716e6i 0.652199 1.12964i −0.330389 0.943845i \(-0.607180\pi\)
0.982588 0.185797i \(-0.0594868\pi\)
\(264\) 222433. 385265.i 0.196422 0.340213i
\(265\) 136780. + 236910.i 0.119649 + 0.207237i
\(266\) 3.02638e6 2.62253
\(267\) −729765. 1.26399e6i −0.626477 1.08509i
\(268\) 2.30871e6 3.99880e6i 1.96350 3.40089i
\(269\) 107923. 0.0909357 0.0454679 0.998966i \(-0.485522\pi\)
0.0454679 + 0.998966i \(0.485522\pi\)
\(270\) −129523. + 224340.i −0.108127 + 0.187282i
\(271\) −730659. 1.26554e6i −0.604354 1.04677i −0.992153 0.125028i \(-0.960098\pi\)
0.387799 0.921744i \(-0.373235\pi\)
\(272\) −1.33491e6 2.31213e6i −1.09403 1.89491i
\(273\) −91715.1 158855.i −0.0744791 0.129002i
\(274\) −895725. −0.720772
\(275\) −94625.3 163896.i −0.0754528 0.130688i
\(276\) 3.03612e6 + 5.25871e6i 2.39909 + 4.15534i
\(277\) −363438. + 629492.i −0.284597 + 0.492937i −0.972511 0.232855i \(-0.925193\pi\)
0.687914 + 0.725792i \(0.258526\pi\)
\(278\) −1.55016e6 + 2.68495e6i −1.20299 + 2.08365i
\(279\) 207459. 0.159559
\(280\) 572543. 0.436428
\(281\) −395912. + 685739.i −0.299111 + 0.518076i −0.975933 0.218071i \(-0.930023\pi\)
0.676822 + 0.736147i \(0.263357\pi\)
\(282\) 931558. 1.61351e6i 0.697569 1.20822i
\(283\) 1.28066e6 + 2.21818e6i 0.950538 + 1.64638i 0.744265 + 0.667885i \(0.232800\pi\)
0.206273 + 0.978494i \(0.433866\pi\)
\(284\) 1.46427e6 + 2.53618e6i 1.07727 + 1.86588i
\(285\) 651804. 0.475340
\(286\) −24458.9 42364.0i −0.0176816 0.0306254i
\(287\) −295040. 511023.i −0.211434 0.366215i
\(288\) −161524. 279768.i −0.114751 0.198754i
\(289\) −1.22682e6 + 2.12491e6i −0.864042 + 1.49656i
\(290\) 235688. 0.164567
\(291\) −647596. + 1.12167e6i −0.448303 + 0.776484i
\(292\) 1.84566e6 + 3.19679e6i 1.26676 + 2.19410i
\(293\) −42451.1 −0.0288881 −0.0144441 0.999896i \(-0.504598\pi\)
−0.0144441 + 0.999896i \(0.504598\pi\)
\(294\) 188089. + 325779.i 0.126909 + 0.219814i
\(295\) −81975.1 + 141985.i −0.0548437 + 0.0949921i
\(296\) −1.50926e6 + 2.61412e6i −1.00123 + 1.73419i
\(297\) 125287. 0.0824167
\(298\) 672852. 1.16541e6i 0.438914 0.760221i
\(299\) 350446. 0.226696
\(300\) −3.90410e6 −2.50448
\(301\) −1.11879e6 + 967974.i −0.711755 + 0.615811i
\(302\) 2.32460e6 1.46667
\(303\) 3.90820e6 2.44551
\(304\) 1.68783e6 2.92341e6i 1.04748 1.81428i
\(305\) −258824. −0.159315
\(306\) −1.41023e6 + 2.44259e6i −0.860968 + 1.49124i
\(307\) −82279.4 + 142512.i −0.0498248 + 0.0862990i −0.889862 0.456229i \(-0.849200\pi\)
0.840037 + 0.542529i \(0.182533\pi\)
\(308\) −263799. 456913.i −0.158452 0.274446i
\(309\) 479509. 0.285694
\(310\) 95773.7 + 165885.i 0.0566034 + 0.0980399i
\(311\) 1.49086e6 2.58225e6i 0.874049 1.51390i 0.0162774 0.999868i \(-0.494819\pi\)
0.857772 0.514030i \(-0.171848\pi\)
\(312\) −529646. −0.308034
\(313\) 498808. 863960.i 0.287788 0.498463i −0.685494 0.728079i \(-0.740414\pi\)
0.973281 + 0.229616i \(0.0737469\pi\)
\(314\) 1.70885e6 + 2.95981e6i 0.978091 + 1.69410i
\(315\) −116825. 202347.i −0.0663377 0.114900i
\(316\) −962502. 1.66710e6i −0.542231 0.939171i
\(317\) 2.04824e6 1.14481 0.572403 0.819972i \(-0.306011\pi\)
0.572403 + 0.819972i \(0.306011\pi\)
\(318\) −2.01313e6 3.48685e6i −1.11636 1.93360i
\(319\) −56995.2 98718.6i −0.0313590 0.0543153i
\(320\) −139938. + 242379.i −0.0763941 + 0.132318i
\(321\) −1.80951e6 + 3.13417e6i −0.980165 + 1.69770i
\(322\) 5.57563e6 2.99677
\(323\) −4.89756e6 −2.61200
\(324\) 2.46878e6 4.27605e6i 1.30653 2.26298i
\(325\) −112658. + 195130.i −0.0591637 + 0.102474i
\(326\) 285858. + 495121.i 0.148973 + 0.258028i
\(327\) −2.04630e6 3.54430e6i −1.05828 1.83299i
\(328\) −1.70383e6 −0.874461
\(329\) −579855. 1.00434e6i −0.295345 0.511552i
\(330\) −83811.3 145165.i −0.0423660 0.0733801i
\(331\) 1.76103e6 + 3.05019e6i 0.883480 + 1.53023i 0.847446 + 0.530882i \(0.178139\pi\)
0.0360345 + 0.999351i \(0.488527\pi\)
\(332\) −205929. + 356680.i −0.102535 + 0.177596i
\(333\) 1.23184e6 0.608756
\(334\) 660394. 1.14384e6i 0.323919 0.561045i
\(335\) −456570. 790802.i −0.222277 0.384996i
\(336\) −3.25521e6 −1.57301
\(337\) −1.59018e6 2.75427e6i −0.762729 1.32109i −0.941439 0.337184i \(-0.890526\pi\)
0.178710 0.983902i \(-0.442808\pi\)
\(338\) 1.82128e6 3.15454e6i 0.867129 1.50191i
\(339\) −400747. + 694114.i −0.189396 + 0.328044i
\(340\) −1.76534e6 −0.828192
\(341\) 46320.9 80230.2i 0.0215720 0.0373639i
\(342\) −3.56613e6 −1.64867
\(343\) 2.28488e6 1.04864
\(344\) 805303. + 4.19513e6i 0.366913 + 1.91139i
\(345\) 1.20084e6 0.543174
\(346\) 1.59138e6 0.714635
\(347\) −806594. + 1.39706e6i −0.359609 + 0.622862i −0.987896 0.155121i \(-0.950423\pi\)
0.628286 + 0.777982i \(0.283757\pi\)
\(348\) −2.35154e6 −1.04089
\(349\) −1.30042e6 + 2.25239e6i −0.571504 + 0.989874i 0.424908 + 0.905237i \(0.360307\pi\)
−0.996412 + 0.0846375i \(0.973027\pi\)
\(350\) −1.79241e6 + 3.10454e6i −0.782107 + 1.35465i
\(351\) −74581.8 129179.i −0.0323121 0.0559662i
\(352\) −144259. −0.0620562
\(353\) −557211. 965117.i −0.238003 0.412234i 0.722138 0.691749i \(-0.243160\pi\)
−0.960141 + 0.279515i \(0.909826\pi\)
\(354\) 1.20651e6 2.08974e6i 0.511711 0.886309i
\(355\) 579146. 0.243903
\(356\) −2.49903e6 + 4.32845e6i −1.04507 + 1.81012i
\(357\) 2.36140e6 + 4.09006e6i 0.980616 + 1.69848i
\(358\) −416604. 721580.i −0.171797 0.297561i
\(359\) 661665. + 1.14604e6i 0.270958 + 0.469313i 0.969107 0.246639i \(-0.0793262\pi\)
−0.698149 + 0.715952i \(0.745993\pi\)
\(360\) −674655. −0.274363
\(361\) −1.85814e6 3.21839e6i −0.750429 1.29978i
\(362\) 1.54590e6 + 2.67757e6i 0.620025 + 1.07391i
\(363\) 1.54313e6 2.67278e6i 0.614662 1.06463i
\(364\) −314072. + 543989.i −0.124244 + 0.215197i
\(365\) 729997. 0.286806
\(366\) 3.80939e6 1.48646
\(367\) 811350. 1.40530e6i 0.314444 0.544633i −0.664875 0.746954i \(-0.731515\pi\)
0.979319 + 0.202322i \(0.0648487\pi\)
\(368\) 3.10956e6 5.38591e6i 1.19696 2.07319i
\(369\) 347659. + 602164.i 0.132919 + 0.230223i
\(370\) 568680. + 984982.i 0.215955 + 0.374045i
\(371\) −2.50618e6 −0.945316
\(372\) −955567. 1.65509e6i −0.358017 0.620104i
\(373\) −543097. 940671.i −0.202118 0.350079i 0.747093 0.664720i \(-0.231449\pi\)
−0.949211 + 0.314641i \(0.898116\pi\)
\(374\) 629746. + 1.09075e6i 0.232802 + 0.403224i
\(375\) −795306. + 1.37751e6i −0.292049 + 0.505844i
\(376\) −3.34860e6 −1.22150
\(377\) −67857.0 + 117532.i −0.0245890 + 0.0425894i
\(378\) −1.18660e6 2.05526e6i −0.427146 0.739838i
\(379\) −3.16873e6 −1.13315 −0.566575 0.824010i \(-0.691732\pi\)
−0.566575 + 0.824010i \(0.691732\pi\)
\(380\) −1.11603e6 1.93302e6i −0.396476 0.686716i
\(381\) 2.44370e6 4.23261e6i 0.862452 1.49381i
\(382\) 1.16205e6 2.01274e6i 0.407444 0.705714i
\(383\) 5.07150e6 1.76661 0.883303 0.468802i \(-0.155314\pi\)
0.883303 + 0.468802i \(0.155314\pi\)
\(384\) 2.76662e6 4.79193e6i 0.957463 1.65837i
\(385\) −104338. −0.0358748
\(386\) −3.03014e6 −1.03513
\(387\) 1.31832e6 1.14061e6i 0.447449 0.387133i
\(388\) 4.43530e6 1.49570
\(389\) −4.34521e6 −1.45592 −0.727959 0.685621i \(-0.759531\pi\)
−0.727959 + 0.685621i \(0.759531\pi\)
\(390\) −99783.5 + 172830.i −0.0332198 + 0.0575384i
\(391\) −9.02297e6 −2.98475
\(392\) 338054. 585527.i 0.111115 0.192456i
\(393\) 2.50129e6 4.33236e6i 0.816925 1.41496i
\(394\) 3.77404e6 + 6.53683e6i 1.22480 + 2.12142i
\(395\) −380689. −0.122766
\(396\) 310847. + 538403.i 0.0996114 + 0.172532i
\(397\) −2.37845e6 + 4.11960e6i −0.757387 + 1.31183i 0.186792 + 0.982400i \(0.440191\pi\)
−0.944179 + 0.329433i \(0.893142\pi\)
\(398\) −6.13714e6 −1.94204
\(399\) −2.98570e6 + 5.17139e6i −0.938890 + 1.62620i
\(400\) 1.99927e6 + 3.46283e6i 0.624771 + 1.08214i
\(401\) 1.74745e6 + 3.02667e6i 0.542680 + 0.939949i 0.998749 + 0.0500049i \(0.0159237\pi\)
−0.456069 + 0.889944i \(0.650743\pi\)
\(402\) 6.71982e6 + 1.16391e7i 2.07392 + 3.59214i
\(403\) −110297. −0.0338299
\(404\) −6.69169e6 1.15903e7i −2.03977 3.53299i
\(405\) −488225. 845631.i −0.147905 0.256179i
\(406\) −1.07961e6 + 1.86994e6i −0.325052 + 0.563006i
\(407\) 275042. 476386.i 0.0823024 0.142552i
\(408\) 1.36369e7 4.05568
\(409\) 2.15155e6 0.635981 0.317990 0.948094i \(-0.396992\pi\)
0.317990 + 0.948094i \(0.396992\pi\)
\(410\) −320995. + 555979.i −0.0943058 + 0.163342i
\(411\) 883685. 1.53059e6i 0.258043 0.446944i
\(412\) −821024. 1.42205e6i −0.238294 0.412737i
\(413\) −751003. 1.30078e6i −0.216654 0.375256i
\(414\) −6.57003e6 −1.88394
\(415\) 40724.5 + 70537.0i 0.0116074 + 0.0201047i
\(416\) 85875.3 + 148740.i 0.0243296 + 0.0421401i
\(417\) −3.05864e6 5.29772e6i −0.861367 1.49193i
\(418\) −796237. + 1.37912e6i −0.222896 + 0.386067i
\(419\) 5.86423e6 1.63183 0.815917 0.578168i \(-0.196232\pi\)
0.815917 + 0.578168i \(0.196232\pi\)
\(420\) −1.07621e6 + 1.86404e6i −0.297695 + 0.515624i
\(421\) −381550. 660864.i −0.104917 0.181722i 0.808787 0.588101i \(-0.200124\pi\)
−0.913704 + 0.406380i \(0.866791\pi\)
\(422\) 5.09525e6 1.39279
\(423\) 683271. + 1.18346e6i 0.185670 + 0.321590i
\(424\) −3.61824e6 + 6.26697e6i −0.977422 + 1.69295i
\(425\) 2.90063e6 5.02403e6i 0.778968 1.34921i
\(426\) −8.52391e6 −2.27570
\(427\) 1.18559e6 2.05350e6i 0.314677 0.545037i
\(428\) 1.23931e7 3.27018
\(429\) 96520.5 0.0253207
\(430\) 1.52064e6 + 527569.i 0.396602 + 0.137597i
\(431\) 4.90960e6 1.27307 0.636536 0.771247i \(-0.280367\pi\)
0.636536 + 0.771247i \(0.280367\pi\)
\(432\) −2.64710e6 −0.682434
\(433\) −757783. + 1.31252e6i −0.194234 + 0.336423i −0.946649 0.322266i \(-0.895555\pi\)
0.752415 + 0.658689i \(0.228889\pi\)
\(434\) −1.75484e6 −0.447211
\(435\) −232520. + 402737.i −0.0589166 + 0.102046i
\(436\) −7.00743e6 + 1.21372e7i −1.76540 + 3.05776i
\(437\) −5.70423e6 9.88001e6i −1.42887 2.47488i
\(438\) −1.07441e7 −2.67600
\(439\) 1.13980e6 + 1.97420e6i 0.282273 + 0.488911i 0.971944 0.235212i \(-0.0755784\pi\)
−0.689671 + 0.724122i \(0.742245\pi\)
\(440\) −150635. + 260908.i −0.0370932 + 0.0642474i
\(441\) −275915. −0.0675583
\(442\) 749759. 1.29862e6i 0.182543 0.316174i
\(443\) −1.45095e6 2.51312e6i −0.351271 0.608420i 0.635201 0.772347i \(-0.280917\pi\)
−0.986472 + 0.163927i \(0.947584\pi\)
\(444\) −5.67391e6 9.82750e6i −1.36592 2.36584i
\(445\) 494208. + 855994.i 0.118307 + 0.204914i
\(446\) 2.56104e6 0.609648
\(447\) 1.32762e6 + 2.29950e6i 0.314271 + 0.544333i
\(448\) −1.28202e6 2.22052e6i −0.301786 0.522709i
\(449\) 186135. 322396.i 0.0435726 0.0754699i −0.843417 0.537260i \(-0.819459\pi\)
0.886989 + 0.461790i \(0.152793\pi\)
\(450\) 2.11208e6 3.65823e6i 0.491676 0.851607i
\(451\) 310498. 0.0718816
\(452\) 2.74466e6 0.631892
\(453\) −2.29336e6 + 3.97221e6i −0.525081 + 0.909466i
\(454\) 2.20017e6 3.81080e6i 0.500975 0.867715i
\(455\) 62110.9 + 107579.i 0.0140650 + 0.0243613i
\(456\) 8.62108e6 + 1.49321e7i 1.94155 + 3.36287i
\(457\) 3.73465e6 0.836487 0.418244 0.908335i \(-0.362646\pi\)
0.418244 + 0.908335i \(0.362646\pi\)
\(458\) 2.37482e6 + 4.11330e6i 0.529013 + 0.916278i
\(459\) 1.92027e6 + 3.32600e6i 0.425431 + 0.736869i
\(460\) −2.05611e6 3.56128e6i −0.453055 0.784714i
\(461\) −2.49556e6 + 4.32244e6i −0.546910 + 0.947276i 0.451574 + 0.892234i \(0.350863\pi\)
−0.998484 + 0.0550424i \(0.982471\pi\)
\(462\) 1.53565e6 0.334724
\(463\) −165773. + 287127.i −0.0359385 + 0.0622474i −0.883435 0.468553i \(-0.844775\pi\)
0.847497 + 0.530801i \(0.178109\pi\)
\(464\) 1.20421e6 + 2.08575e6i 0.259661 + 0.449747i
\(465\) −377946. −0.0810582
\(466\) 180498. + 312632.i 0.0385042 + 0.0666912i
\(467\) −2.18649e6 + 3.78710e6i −0.463932 + 0.803554i −0.999153 0.0411584i \(-0.986895\pi\)
0.535221 + 0.844712i \(0.320228\pi\)
\(468\) 370087. 641009.i 0.0781068 0.135285i
\(469\) 8.36560e6 1.75616
\(470\) −630866. + 1.09269e6i −0.131732 + 0.228167i
\(471\) −6.74351e6 −1.40066
\(472\) −4.33697e6 −0.896049
\(473\) −146755. 764504.i −0.0301606 0.157118i
\(474\) 5.60300e6 1.14545
\(475\) 7.33499e6 1.49164
\(476\) 8.08645e6 1.40061e7i 1.63584 2.83336i
\(477\) 2.95315e6 0.594278
\(478\) 3.32655e6 5.76176e6i 0.665924 1.15341i
\(479\) −1.21317e6 + 2.10127e6i −0.241592 + 0.418449i −0.961168 0.275965i \(-0.911003\pi\)
0.719576 + 0.694413i \(0.244336\pi\)
\(480\) 294262. + 509676.i 0.0582949 + 0.100970i
\(481\) −654915. −0.129069
\(482\) −1.09412e6 1.89507e6i −0.214509 0.371541i
\(483\) −5.50068e6 + 9.52746e6i −1.07287 + 1.85827i
\(484\) −1.05687e7 −2.05073
\(485\) 438562. 759612.i 0.0846597 0.146635i
\(486\) 4.82257e6 + 8.35293e6i 0.926163 + 1.60416i
\(487\) −78130.6 135326.i −0.0149279 0.0258559i 0.858465 0.512872i \(-0.171419\pi\)
−0.873393 + 0.487016i \(0.838085\pi\)
\(488\) −3.42334e6 5.92940e6i −0.650729 1.12710i
\(489\) −1.12806e6 −0.213335
\(490\) −127376. 220623.i −0.0239662 0.0415107i
\(491\) 2.49338e6 + 4.31866e6i 0.466750 + 0.808435i 0.999279 0.0379773i \(-0.0120915\pi\)
−0.532529 + 0.846412i \(0.678758\pi\)
\(492\) 3.20267e6 5.54719e6i 0.596486 1.03314i
\(493\) 1.74712e6 3.02610e6i 0.323747 0.560747i
\(494\) 1.89596e6 0.349552
\(495\) 122946. 0.0225529
\(496\) −978681. + 1.69513e6i −0.178623 + 0.309384i
\(497\) −2.65288e6 + 4.59493e6i −0.481756 + 0.834426i
\(498\) −599387. 1.03817e6i −0.108301 0.187583i
\(499\) 1.11429e6 + 1.93001e6i 0.200331 + 0.346983i 0.948635 0.316372i \(-0.102465\pi\)
−0.748304 + 0.663356i \(0.769132\pi\)
\(500\) 5.44694e6 0.974379
\(501\) 1.30303e6 + 2.25692e6i 0.231933 + 0.401719i
\(502\) −6.83752e6 1.18429e7i −1.21099 2.09749i
\(503\) 2.13628e6 + 3.70015e6i 0.376477 + 0.652078i 0.990547 0.137174i \(-0.0438020\pi\)
−0.614070 + 0.789252i \(0.710469\pi\)
\(504\) 3.09038e6 5.35269e6i 0.541920 0.938633i
\(505\) −2.64669e6 −0.461823
\(506\) −1.46694e6 + 2.54082e6i −0.254704 + 0.441161i
\(507\) 3.59359e6 + 6.22428e6i 0.620881 + 1.07540i
\(508\) −1.67366e7 −2.87744
\(509\) 1.97221e6 + 3.41596e6i 0.337410 + 0.584411i 0.983945 0.178473i \(-0.0571159\pi\)
−0.646535 + 0.762884i \(0.723783\pi\)
\(510\) 2.56914e6 4.44988e6i 0.437383 0.757569i
\(511\) −3.34388e6 + 5.79178e6i −0.566499 + 0.981204i
\(512\) −1.22458e7 −2.06448
\(513\) −2.42794e6 + 4.20532e6i −0.407329 + 0.705514i
\(514\) 7.92213e6 1.32262
\(515\) −324731. −0.0539518
\(516\) −1.51719e7 5.26373e6i −2.50852 0.870301i
\(517\) 610236. 0.100409
\(518\) −1.04198e7 −1.70621
\(519\) −1.56999e6 + 2.71931e6i −0.255846 + 0.443139i
\(520\) 358685. 0.0581707
\(521\) 4.25817e6 7.37536e6i 0.687271 1.19039i −0.285446 0.958395i \(-0.592142\pi\)
0.972717 0.231994i \(-0.0745250\pi\)
\(522\) 1.27216e6 2.20344e6i 0.204346 0.353937i
\(523\) 1.33171e6 + 2.30660e6i 0.212891 + 0.368738i 0.952618 0.304169i \(-0.0983788\pi\)
−0.739727 + 0.672907i \(0.765045\pi\)
\(524\) −1.71310e7 −2.72555
\(525\) −3.53663e6 6.12562e6i −0.560004 0.969955i
\(526\) 7.29201e6 1.26301e7i 1.14917 1.99042i
\(527\) 2.83983e6 0.445416
\(528\) 856440. 1.48340e6i 0.133694 0.231565i
\(529\) −7.29096e6 1.26283e7i −1.13278 1.96203i
\(530\) 1.36333e6 + 2.36135e6i 0.210819 + 0.365150i
\(531\) 884943. + 1.53277e6i 0.136201 + 0.235906i
\(532\) 2.04487e7 3.13247
\(533\) −184835. 320144.i −0.0281817 0.0488121i
\(534\) −7.27379e6 1.25986e7i −1.10384 1.91191i
\(535\) 1.22543e6 2.12251e6i 0.185099 0.320601i
\(536\) 1.20776e7 2.09191e7i 1.81581 3.14507i
\(537\) 1.64402e6 0.246020
\(538\) 1.07570e6 0.160228
\(539\) −61605.6 + 106704.i −0.00913373 + 0.0158201i
\(540\) −875159. + 1.51582e6i −0.129152 + 0.223699i
\(541\) 4.65356e6 + 8.06020e6i 0.683584 + 1.18400i 0.973880 + 0.227065i \(0.0729130\pi\)
−0.290296 + 0.956937i \(0.593754\pi\)
\(542\) −7.28270e6 1.26140e7i −1.06486 1.84440i
\(543\) −6.10047e6 −0.887899
\(544\) −2.21104e6 3.82963e6i −0.320331 0.554830i
\(545\) 1.38579e6 + 2.40026e6i 0.199851 + 0.346152i
\(546\) −914152. 1.58336e6i −0.131231 0.227299i
\(547\) 3.05092e6 5.28435e6i 0.435976 0.755132i −0.561399 0.827545i \(-0.689737\pi\)
0.997375 + 0.0724130i \(0.0230700\pi\)
\(548\) −6.05224e6 −0.860924
\(549\) −1.39704e6 + 2.41974e6i −0.197824 + 0.342640i
\(550\) −943159. 1.63360e6i −0.132947 0.230271i
\(551\) 4.41805e6 0.619943
\(552\) 1.58830e7 + 2.75101e7i 2.21863 + 3.84277i
\(553\) 1.74381e6 3.02037e6i 0.242486 0.419998i
\(554\) −3.62249e6 + 6.27434e6i −0.501456 + 0.868548i
\(555\) −2.24414e6 −0.309256
\(556\) −1.04741e7 + 1.81417e7i −1.43691 + 2.48880i
\(557\) −5.98575e6 −0.817486 −0.408743 0.912650i \(-0.634033\pi\)
−0.408743 + 0.912650i \(0.634033\pi\)
\(558\) 2.06781e6 0.281141
\(559\) −700893. + 606413.i −0.0948686 + 0.0820803i
\(560\) 2.20448e6 0.297054
\(561\) −2.48512e6 −0.333381
\(562\) −3.94617e6 + 6.83497e6i −0.527030 + 0.912843i
\(563\) 3.57765e6 0.475694 0.237847 0.971303i \(-0.423558\pi\)
0.237847 + 0.971303i \(0.423558\pi\)
\(564\) 6.29436e6 1.09022e7i 0.833209 1.44316i
\(565\) 271392. 470065.i 0.0357665 0.0619494i
\(566\) 1.27648e7 + 2.21092e7i 1.67484 + 2.90090i
\(567\) 8.94561e6 1.16856
\(568\) 7.66007e6 + 1.32676e7i 0.996236 + 1.72553i
\(569\) −555792. + 962661.i −0.0719668 + 0.124650i −0.899763 0.436378i \(-0.856261\pi\)
0.827796 + 0.561029i \(0.189594\pi\)
\(570\) 6.49673e6 0.837544
\(571\) 7.27086e6 1.25935e7i 0.933245 1.61643i 0.155511 0.987834i \(-0.450298\pi\)
0.777734 0.628594i \(-0.216369\pi\)
\(572\) −165264. 286246.i −0.0211197 0.0365804i
\(573\) 2.29287e6 + 3.97137e6i 0.291738 + 0.505305i
\(574\) −2.94075e6 5.09353e6i −0.372545 0.645266i
\(575\) 1.35135e7 1.70451
\(576\) 1.51067e6 + 2.61655e6i 0.189720 + 0.328604i
\(577\) −3.12595e6 5.41430e6i −0.390879 0.677022i 0.601687 0.798732i \(-0.294495\pi\)
−0.992566 + 0.121710i \(0.961162\pi\)
\(578\) −1.22280e7 + 2.11796e7i −1.52243 + 2.63693i
\(579\) 2.98941e6 5.17782e6i 0.370586 0.641875i
\(580\) 1.59250e6 0.196566
\(581\) −746184. −0.0917077
\(582\) −6.45479e6 + 1.11800e7i −0.789904 + 1.36815i
\(583\) 659372. 1.14207e6i 0.0803451 0.139162i
\(584\) 9.65530e6 + 1.67235e7i 1.17148 + 2.02906i
\(585\) −73188.3 126766.i −0.00884203 0.0153148i
\(586\) −423123. −0.0509005
\(587\) −2.75602e6 4.77357e6i −0.330132 0.571805i 0.652406 0.757870i \(-0.273760\pi\)
−0.982537 + 0.186065i \(0.940426\pi\)
\(588\) 1.27088e6 + 2.20123e6i 0.151587 + 0.262556i
\(589\) 1.79531e6 + 3.10957e6i 0.213231 + 0.369328i
\(590\) −817070. + 1.41521e6i −0.0966339 + 0.167375i
\(591\) −1.48933e7 −1.75396
\(592\) −5.81116e6 + 1.00652e7i −0.681488 + 1.18037i
\(593\) −5.03378e6 8.71876e6i −0.587837 1.01816i −0.994515 0.104592i \(-0.966646\pi\)
0.406678 0.913572i \(-0.366687\pi\)
\(594\) 1.24877e6 0.145217
\(595\) −1.59918e6 2.76985e6i −0.185184 0.320748i
\(596\) 4.54633e6 7.87448e6i 0.524259 0.908043i
\(597\) 6.05465e6 1.04870e7i 0.695269 1.20424i
\(598\) 3.49300e6 0.399435
\(599\) −4.08485e6 + 7.07516e6i −0.465167 + 0.805692i −0.999209 0.0397654i \(-0.987339\pi\)
0.534042 + 0.845458i \(0.320672\pi\)
\(600\) −2.04237e7 −2.31609
\(601\) −1.13683e7 −1.28383 −0.641916 0.766775i \(-0.721860\pi\)
−0.641916 + 0.766775i \(0.721860\pi\)
\(602\) −1.11513e7 + 9.64809e6i −1.25410 + 1.08505i
\(603\) −9.85759e6 −1.10402
\(604\) 1.57069e7 1.75185
\(605\) −1.04503e6 + 1.81005e6i −0.116076 + 0.201049i
\(606\) 3.89542e7 4.30897
\(607\) 3.99736e6 6.92364e6i 0.440354 0.762716i −0.557362 0.830270i \(-0.688186\pi\)
0.997716 + 0.0675543i \(0.0215196\pi\)
\(608\) 2.79559e6 4.84211e6i 0.306701 0.531222i
\(609\) −2.13020e6 3.68962e6i −0.232743 0.403123i
\(610\) −2.57978e6 −0.280710
\(611\) −363265. 629194.i −0.0393660 0.0681839i
\(612\) −9.52866e6 + 1.65041e7i −1.02838 + 1.78121i
\(613\) 6.94295e6 0.746265 0.373132 0.927778i \(-0.378284\pi\)
0.373132 + 0.927778i \(0.378284\pi\)
\(614\) −820104. + 1.42046e6i −0.0877906 + 0.152058i
\(615\) −633360. 1.09701e6i −0.0675248 0.116956i
\(616\) −1.38002e6 2.39027e6i −0.146533 0.253802i
\(617\) −8.84860e6 1.53262e7i −0.935754 1.62077i −0.773283 0.634061i \(-0.781387\pi\)
−0.162471 0.986713i \(-0.551946\pi\)
\(618\) 4.77941e6 0.503389
\(619\) 3.44611e6 + 5.96884e6i 0.361496 + 0.626129i 0.988207 0.153123i \(-0.0489329\pi\)
−0.626712 + 0.779251i \(0.715600\pi\)
\(620\) 647125. + 1.12085e6i 0.0676097 + 0.117103i
\(621\) −4.47310e6 + 7.74764e6i −0.465457 + 0.806195i
\(622\) 1.48599e7 2.57380e7i 1.54006 2.66747i
\(623\) −9.05524e6 −0.934717
\(624\) −2.03931e6 −0.209663
\(625\) −4.06706e6 + 7.04435e6i −0.416467 + 0.721341i
\(626\) 4.97177e6 8.61136e6i 0.507078 0.878285i
\(627\) −1.57107e6 2.72117e6i −0.159598 0.276431i
\(628\) 1.15464e7 + 1.99989e7i 1.16828 + 2.02352i
\(629\) 1.68622e7 1.69937
\(630\) −1.16443e6 2.01686e6i −0.116886 0.202453i
\(631\) −5.65192e6 9.78941e6i −0.565096 0.978776i −0.997041 0.0768754i \(-0.975506\pi\)
0.431944 0.901900i \(-0.357828\pi\)
\(632\) −5.03518e6 8.72118e6i −0.501444 0.868526i
\(633\) −5.02676e6 + 8.70661e6i −0.498631 + 0.863654i
\(634\) 2.04154e7 2.01713
\(635\) −1.65491e6 + 2.86639e6i −0.162870 + 0.282098i
\(636\) −1.36024e7 2.35600e7i −1.33343 2.30958i
\(637\) 146692. 0.0143238
\(638\) −568089. 983959.i −0.0552541 0.0957029i
\(639\) 3.12602e6 5.41443e6i 0.302858 0.524566i
\(640\) −1.87360e6 + 3.24517e6i −0.180812 + 0.313175i
\(641\) −1.40110e7 −1.34687 −0.673433 0.739248i \(-0.735181\pi\)
−0.673433 + 0.739248i \(0.735181\pi\)
\(642\) −1.80360e7 + 3.12392e7i −1.72704 + 2.99132i
\(643\) −4.27504e6 −0.407767 −0.203884 0.978995i \(-0.565356\pi\)
−0.203884 + 0.978995i \(0.565356\pi\)
\(644\) 3.76735e7 3.57949
\(645\) −2.40169e6 + 2.07795e6i −0.227310 + 0.196669i
\(646\) −4.88155e7 −4.60231
\(647\) −7.88684e6 −0.740700 −0.370350 0.928892i \(-0.620762\pi\)
−0.370350 + 0.928892i \(0.620762\pi\)
\(648\) 1.29150e7 2.23695e7i 1.20825 2.09275i
\(649\) 790352. 0.0736561
\(650\) −1.12290e6 + 1.94492e6i −0.104246 + 0.180559i
\(651\) 1.73125e6 2.99861e6i 0.160106 0.277311i
\(652\) 1.93149e6 + 3.34544e6i 0.177940 + 0.308201i
\(653\) 1.39028e7 1.27591 0.637954 0.770075i \(-0.279781\pi\)
0.637954 + 0.770075i \(0.279781\pi\)
\(654\) −2.03961e7 3.53271e7i −1.86468 3.22971i
\(655\) −1.69391e6 + 2.93394e6i −0.154272 + 0.267207i
\(656\) −6.56029e6 −0.595200
\(657\) 3.94026e6 6.82473e6i 0.356132 0.616839i
\(658\) −5.77959e6 1.00105e7i −0.520394 0.901348i
\(659\) −755746. 1.30899e6i −0.0677895 0.117415i 0.830138 0.557557i \(-0.188261\pi\)
−0.897928 + 0.440142i \(0.854928\pi\)
\(660\) −566297. 980855.i −0.0506039 0.0876486i
\(661\) 670631. 0.0597008 0.0298504 0.999554i \(-0.490497\pi\)
0.0298504 + 0.999554i \(0.490497\pi\)
\(662\) 1.75527e7 + 3.04022e7i 1.55668 + 2.69625i
\(663\) 1.47936e6 + 2.56233e6i 0.130704 + 0.226387i
\(664\) −1.07729e6 + 1.86591e6i −0.0948224 + 0.164237i
\(665\) 2.02197e6 3.50215e6i 0.177304 0.307100i
\(666\) 1.22781e7 1.07262
\(667\) 8.13955e6 0.708412
\(668\) 4.46216e6 7.72868e6i 0.386904 0.670138i
\(669\) −2.52662e6 + 4.37623e6i −0.218260 + 0.378037i
\(670\) −4.55077e6 7.88216e6i −0.391650 0.678357i
\(671\) 623855. + 1.08055e6i 0.0534906 + 0.0926484i
\(672\) −5.39168e6 −0.460575
\(673\) −5.24651e6 9.08723e6i −0.446512 0.773381i 0.551644 0.834080i \(-0.314001\pi\)
−0.998156 + 0.0606981i \(0.980667\pi\)
\(674\) −1.58498e7 2.74526e7i −1.34392 2.32774i
\(675\) −2.87595e6 4.98129e6i −0.242953 0.420806i
\(676\) 1.23060e7 2.13146e7i 1.03574 1.79395i
\(677\) −1.21425e7 −1.01821 −0.509103 0.860706i \(-0.670023\pi\)
−0.509103 + 0.860706i \(0.670023\pi\)
\(678\) −3.99437e6 + 6.91845e6i −0.333714 + 0.578009i
\(679\) 4.01783e6 + 6.95908e6i 0.334439 + 0.579265i
\(680\) −9.23509e6 −0.765895
\(681\) 4.34119e6 + 7.51916e6i 0.358708 + 0.621301i
\(682\) 461695. 799679.i 0.0380097 0.0658347i
\(683\) 8.82663e6 1.52882e7i 0.724008 1.25402i −0.235374 0.971905i \(-0.575631\pi\)
0.959381 0.282113i \(-0.0910353\pi\)
\(684\) −2.40957e7 −1.96924
\(685\) −598445. + 1.03654e6i −0.0487302 + 0.0844031i
\(686\) 2.27741e7 1.84770
\(687\) −9.37159e6 −0.757567
\(688\) 3.10068e6 + 1.61526e7i 0.249739 + 1.30099i
\(689\) −1.57006e6 −0.126000
\(690\) 1.19692e7 0.957066
\(691\) 5.81354e6 1.00693e7i 0.463175 0.802243i −0.535942 0.844255i \(-0.680043\pi\)
0.999117 + 0.0420116i \(0.0133766\pi\)
\(692\) 1.07527e7 0.853593
\(693\) −563178. + 975452.i −0.0445464 + 0.0771566i
\(694\) −8.03957e6 + 1.39249e7i −0.633627 + 1.09747i
\(695\) 2.07136e6 + 3.58770e6i 0.162665 + 0.281744i
\(696\) −1.23017e7 −0.962592
\(697\) 4.75898e6 + 8.24279e6i 0.371049 + 0.642676i
\(698\) −1.29617e7 + 2.24503e7i −1.00698 + 1.74415i
\(699\) −712288. −0.0551395
\(700\) −1.21109e7 + 2.09768e7i −0.934185 + 1.61806i
\(701\) 2.87557e6 + 4.98064e6i 0.221019 + 0.382816i 0.955118 0.296227i \(-0.0957284\pi\)
−0.734099 + 0.679043i \(0.762395\pi\)
\(702\) −743379. 1.28757e6i −0.0569335 0.0986117i
\(703\) 1.06601e7 + 1.84638e7i 0.813528 + 1.40907i
\(704\) 1.34919e6 0.102599
\(705\) −1.24477e6 2.15601e6i −0.0943229 0.163372i
\(706\) −5.55389e6 9.61962e6i −0.419358 0.726350i
\(707\) 1.21237e7 2.09988e7i 0.912190 1.57996i
\(708\) 8.15219e6 1.41200e7i 0.611211 1.05865i
\(709\) −2.30040e7 −1.71865 −0.859326 0.511428i \(-0.829117\pi\)
−0.859326 + 0.511428i \(0.829117\pi\)
\(710\) 5.77253e6 0.429754
\(711\) −2.05482e6 + 3.55905e6i −0.152440 + 0.264034i
\(712\) −1.30733e7 + 2.26436e7i −0.966462 + 1.67396i
\(713\) 3.30757e6 + 5.72888e6i 0.243661 + 0.422033i
\(714\) 2.35368e7 + 4.07669e7i 1.72783 + 2.99269i
\(715\) −65365.2 −0.00478169
\(716\) −2.81491e6 4.87558e6i −0.205203 0.355421i
\(717\) 6.56368e6 + 1.13686e7i 0.476814 + 0.825867i
\(718\) 6.59502e6 + 1.14229e7i 0.477425 + 0.826924i
\(719\) −1.26494e7 + 2.19095e7i −0.912533 + 1.58055i −0.102061 + 0.994778i \(0.532544\pi\)
−0.810473 + 0.585776i \(0.800790\pi\)
\(720\) −2.59764e6 −0.186745
\(721\) 1.48749e6 2.57641e6i 0.106565 0.184576i
\(722\) −1.85206e7 3.20786e7i −1.32225 2.29020i
\(723\) 4.31764e6 0.307186
\(724\) 1.04453e7 + 1.80918e7i 0.740586 + 1.28273i
\(725\) −2.61663e6 + 4.53214e6i −0.184883 + 0.320228i
\(726\) 1.53809e7 2.66405e7i 1.08303 1.87586i
\(727\) 2.19269e7 1.53865 0.769326 0.638856i \(-0.220592\pi\)
0.769326 + 0.638856i \(0.220592\pi\)
\(728\) −1.64302e6 + 2.84579e6i −0.114898 + 0.199010i
\(729\) −1.21545e6 −0.0847066
\(730\) 7.27610e6 0.505349
\(731\) 1.80460e7 1.56134e7i 1.24907 1.08070i
\(732\) 2.57393e7 1.77550
\(733\) −1.44070e7 −0.990406 −0.495203 0.868777i \(-0.664906\pi\)
−0.495203 + 0.868777i \(0.664906\pi\)
\(734\) 8.08697e6 1.40070e7i 0.554046 0.959636i
\(735\) 502658. 0.0343205
\(736\) 5.15044e6 8.92082e6i 0.350469 0.607030i
\(737\) −2.20098e6 + 3.81221e6i −0.149261 + 0.258528i
\(738\) 3.46523e6 + 6.00195e6i 0.234202 + 0.405650i
\(739\) −7.09096e6 −0.477633 −0.238816 0.971065i \(-0.576759\pi\)
−0.238816 + 0.971065i \(0.576759\pi\)
\(740\) 3.84246e6 + 6.65534e6i 0.257947 + 0.446777i
\(741\) −1.87047e6 + 3.23976e6i −0.125143 + 0.216754i
\(742\) −2.49798e7 −1.66564
\(743\) −7.74297e6 + 1.34112e7i −0.514559 + 0.891243i 0.485298 + 0.874349i \(0.338711\pi\)
−0.999857 + 0.0168942i \(0.994622\pi\)
\(744\) −4.99890e6 8.65834e6i −0.331087 0.573459i
\(745\) −899082. 1.55726e6i −0.0593484 0.102794i
\(746\) −5.41321e6 9.37596e6i −0.356130 0.616834i
\(747\) 879265. 0.0576526
\(748\) 4.25507e6 + 7.37000e6i 0.278069 + 0.481630i
\(749\) 1.12266e7 + 1.94451e7i 0.731214 + 1.26650i
\(750\) −7.92706e6 + 1.37301e7i −0.514587 + 0.891291i
\(751\) 6.94541e6 1.20298e7i 0.449364 0.778321i −0.548981 0.835835i \(-0.684984\pi\)
0.998345 + 0.0575139i \(0.0183174\pi\)
\(752\) −1.28932e7 −0.831413
\(753\) 2.69825e7 1.73418
\(754\) −676352. + 1.17148e6i −0.0433256 + 0.0750421i
\(755\) 1.55310e6 2.69004e6i 0.0991588 0.171748i
\(756\) −8.01765e6 1.38870e7i −0.510203 0.883697i
\(757\) 590046. + 1.02199e6i 0.0374237 + 0.0648197i 0.884131 0.467240i \(-0.154752\pi\)
−0.846707 + 0.532060i \(0.821418\pi\)
\(758\) −3.15837e7 −1.99660
\(759\) −2.89445e6 5.01333e6i −0.182373 0.315880i
\(760\) −5.83833e6 1.01123e7i −0.366653 0.635061i
\(761\) −1.39544e7 2.41698e7i −0.873475 1.51290i −0.858378 0.513018i \(-0.828528\pi\)
−0.0150972 0.999886i \(-0.504806\pi\)
\(762\) 2.43571e7 4.21877e7i 1.51963 2.63208i
\(763\) −2.53914e7 −1.57898
\(764\) 7.85178e6 1.35997e7i 0.486670 0.842937i
\(765\) 1.88439e6 + 3.26386e6i 0.116417 + 0.201640i
\(766\) 5.05492e7 3.11274
\(767\) −470486. 814905.i −0.0288774 0.0500171i
\(768\) 2.09634e7 3.63097e7i 1.28250 2.22136i
\(769\) −1.09877e7 + 1.90313e7i −0.670027 + 1.16052i 0.307869 + 0.951429i \(0.400384\pi\)
−0.977896 + 0.209092i \(0.932949\pi\)
\(770\) −1.03997e6 −0.0632110
\(771\) −7.81565e6 + 1.35371e7i −0.473510 + 0.820143i
\(772\) −2.04741e7 −1.23641
\(773\)