Properties

Label 108.3.j.a.7.9
Level 108
Weight 3
Character 108.7
Analytic conductor 2.943
Analytic rank 0
Dimension 204
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 108 = 2^{2} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 108.j (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.94278685509\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(34\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 7.9
Character \(\chi\) \(=\) 108.7
Dual form 108.3.j.a.31.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.21254 + 1.59051i) q^{2} +(1.49386 + 2.60161i) q^{3} +(-1.05947 - 3.85714i) q^{4} +(0.0372686 + 0.211361i) q^{5} +(-5.94927 - 0.778554i) q^{6} +(-7.43930 + 8.86581i) q^{7} +(7.41949 + 2.99184i) q^{8} +(-4.53674 + 7.77290i) q^{9} +O(q^{10})\) \(q+(-1.21254 + 1.59051i) q^{2} +(1.49386 + 2.60161i) q^{3} +(-1.05947 - 3.85714i) q^{4} +(0.0372686 + 0.211361i) q^{5} +(-5.94927 - 0.778554i) q^{6} +(-7.43930 + 8.86581i) q^{7} +(7.41949 + 2.99184i) q^{8} +(-4.53674 + 7.77290i) q^{9} +(-0.381362 - 0.197008i) q^{10} +(9.50415 + 1.67584i) q^{11} +(8.45206 - 8.51838i) q^{12} +(-18.7145 - 6.81150i) q^{13} +(-5.08073 - 22.5825i) q^{14} +(-0.494204 + 0.412703i) q^{15} +(-13.7550 + 8.17307i) q^{16} +(-0.856471 - 1.48345i) q^{17} +(-6.86191 - 16.6407i) q^{18} +(5.28896 + 3.05358i) q^{19} +(0.775763 - 0.367681i) q^{20} +(-34.1787 - 6.10984i) q^{21} +(-14.1897 + 13.0845i) q^{22} +(20.2195 + 24.0967i) q^{23} +(3.30011 + 23.7720i) q^{24} +(23.4490 - 8.53475i) q^{25} +(33.5259 - 21.5064i) q^{26} +(-26.9993 - 0.191178i) q^{27} +(42.0784 + 19.3013i) q^{28} +(8.13847 - 2.96216i) q^{29} +(-0.0571654 - 1.28646i) q^{30} +(0.101324 + 0.120753i) q^{31} +(3.67919 - 31.7878i) q^{32} +(9.83803 + 27.2296i) q^{33} +(3.39796 + 0.436521i) q^{34} +(-2.15114 - 1.24196i) q^{35} +(34.7877 + 9.26366i) q^{36} +(24.1007 + 41.7436i) q^{37} +(-11.2699 + 4.70956i) q^{38} +(-10.2360 - 58.8632i) q^{39} +(-0.355844 + 1.67969i) q^{40} +(19.2926 + 7.02193i) q^{41} +(51.1610 - 46.9533i) q^{42} +(45.0838 + 7.94949i) q^{43} +(-3.60546 - 38.4343i) q^{44} +(-1.81196 - 0.669204i) q^{45} +(-62.8431 + 2.94114i) q^{46} +(-23.9050 + 28.4889i) q^{47} +(-41.8113 - 23.5758i) q^{48} +(-14.7507 - 83.6553i) q^{49} +(-14.8583 + 47.6448i) q^{50} +(2.57991 - 4.44428i) q^{51} +(-6.44545 + 79.4009i) q^{52} +98.4809 q^{53} +(33.0419 - 42.7110i) q^{54} +2.07126i q^{55} +(-81.7210 + 43.5226i) q^{56} +(-0.0432430 + 18.3214i) q^{57} +(-5.15690 + 16.5361i) q^{58} +(12.4095 - 2.18814i) q^{59} +(2.11545 + 1.46897i) q^{60} +(-62.8227 - 52.7145i) q^{61} +(-0.314920 + 0.0147387i) q^{62} +(-35.1629 - 98.0469i) q^{63} +(46.0978 + 44.3959i) q^{64} +(0.742223 - 4.20936i) q^{65} +(-55.2381 - 17.3695i) q^{66} +(-18.1950 + 49.9905i) q^{67} +(-4.81447 + 4.87520i) q^{68} +(-32.4849 + 88.6003i) q^{69} +(4.58370 - 1.91548i) q^{70} +(-65.5561 + 37.8488i) q^{71} +(-56.9156 + 44.0978i) q^{72} +(13.3902 - 23.1924i) q^{73} +(-95.6168 - 12.2835i) q^{74} +(57.2337 + 48.2555i) q^{75} +(6.17457 - 23.6354i) q^{76} +(-85.5619 + 71.7950i) q^{77} +(106.034 + 55.0937i) q^{78} +(-39.9006 - 109.626i) q^{79} +(-2.24010 - 2.60268i) q^{80} +(-39.8359 - 70.5273i) q^{81} +(-34.5616 + 22.1707i) q^{82} +(-38.5038 - 105.788i) q^{83} +(12.6449 + 138.305i) q^{84} +(0.281624 - 0.236311i) q^{85} +(-67.3098 + 62.0673i) q^{86} +(19.8642 + 16.7481i) q^{87} +(65.5022 + 40.8688i) q^{88} +(59.4575 - 102.983i) q^{89} +(3.26147 - 2.07052i) q^{90} +(199.612 - 115.246i) q^{91} +(71.5221 - 103.519i) q^{92} +(-0.162789 + 0.443995i) q^{93} +(-16.3261 - 72.5654i) q^{94} +(-0.448295 + 1.23168i) q^{95} +(88.1956 - 37.9148i) q^{96} +(-4.27138 + 24.2242i) q^{97} +(150.941 + 77.9746i) q^{98} +(-56.1440 + 66.2720i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} + O(q^{10}) \) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} - 3q^{10} + 39q^{12} - 12q^{13} + 39q^{14} - 6q^{16} - 6q^{17} - 27q^{18} - 69q^{20} - 12q^{21} - 6q^{22} - 138q^{24} - 12q^{25} - 174q^{26} - 12q^{28} + 60q^{29} - 153q^{30} - 96q^{32} + 48q^{33} + 6q^{34} + 24q^{36} - 6q^{37} + 72q^{38} + 69q^{40} - 192q^{41} - 126q^{42} - 219q^{44} - 132q^{45} - 3q^{46} - 219q^{48} - 12q^{49} - 165q^{50} + 21q^{52} - 24q^{53} + 78q^{54} + 99q^{56} - 150q^{57} - 141q^{58} + 210q^{60} - 12q^{61} + 294q^{62} - 3q^{64} - 156q^{65} + 393q^{66} + 375q^{68} - 60q^{69} - 165q^{70} + 228q^{72} - 6q^{73} + 447q^{74} - 54q^{76} + 132q^{77} + 750q^{78} + 798q^{80} + 228q^{81} - 12q^{82} + 762q^{84} + 138q^{85} + 606q^{86} - 198q^{88} - 114q^{89} + 894q^{90} + 723q^{92} - 1020q^{93} - 357q^{94} + 474q^{96} + 168q^{97} + 510q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.21254 + 1.59051i −0.606272 + 0.795257i
\(3\) 1.49386 + 2.60161i 0.497955 + 0.867203i
\(4\) −1.05947 3.85714i −0.264868 0.964285i
\(5\) 0.0372686 + 0.211361i 0.00745372 + 0.0422722i 0.988308 0.152472i \(-0.0487234\pi\)
−0.980854 + 0.194744i \(0.937612\pi\)
\(6\) −5.94927 0.778554i −0.991546 0.129759i
\(7\) −7.43930 + 8.86581i −1.06276 + 1.26654i −0.100345 + 0.994953i \(0.531995\pi\)
−0.962412 + 0.271592i \(0.912450\pi\)
\(8\) 7.41949 + 2.99184i 0.927437 + 0.373980i
\(9\) −4.53674 + 7.77290i −0.504082 + 0.863656i
\(10\) −0.381362 0.197008i −0.0381362 0.0197008i
\(11\) 9.50415 + 1.67584i 0.864014 + 0.152349i 0.588055 0.808821i \(-0.299894\pi\)
0.275958 + 0.961170i \(0.411005\pi\)
\(12\) 8.45206 8.51838i 0.704338 0.709865i
\(13\) −18.7145 6.81150i −1.43957 0.523962i −0.499915 0.866075i \(-0.666635\pi\)
−0.939659 + 0.342113i \(0.888858\pi\)
\(14\) −5.08073 22.5825i −0.362909 1.61304i
\(15\) −0.494204 + 0.412703i −0.0329469 + 0.0275135i
\(16\) −13.7550 + 8.17307i −0.859689 + 0.510817i
\(17\) −0.856471 1.48345i −0.0503806 0.0872618i 0.839735 0.542996i \(-0.182710\pi\)
−0.890116 + 0.455734i \(0.849377\pi\)
\(18\) −6.86191 16.6407i −0.381217 0.924485i
\(19\) 5.28896 + 3.05358i 0.278366 + 0.160715i 0.632683 0.774410i \(-0.281953\pi\)
−0.354317 + 0.935125i \(0.615287\pi\)
\(20\) 0.775763 0.367681i 0.0387881 0.0183841i
\(21\) −34.1787 6.10984i −1.62756 0.290945i
\(22\) −14.1897 + 13.0845i −0.644984 + 0.594748i
\(23\) 20.2195 + 24.0967i 0.879108 + 1.04768i 0.998496 + 0.0548328i \(0.0174626\pi\)
−0.119387 + 0.992848i \(0.538093\pi\)
\(24\) 3.30011 + 23.7720i 0.137504 + 0.990501i
\(25\) 23.4490 8.53475i 0.937961 0.341390i
\(26\) 33.5259 21.5064i 1.28946 0.827168i
\(27\) −26.9993 0.191178i −0.999975 0.00708065i
\(28\) 42.0784 + 19.3013i 1.50280 + 0.689333i
\(29\) 8.13847 2.96216i 0.280637 0.102144i −0.197867 0.980229i \(-0.563401\pi\)
0.478504 + 0.878085i \(0.341179\pi\)
\(30\) −0.0571654 1.28646i −0.00190551 0.0428820i
\(31\) 0.101324 + 0.120753i 0.00326852 + 0.00389527i 0.767676 0.640838i \(-0.221413\pi\)
−0.764408 + 0.644733i \(0.776968\pi\)
\(32\) 3.67919 31.7878i 0.114975 0.993368i
\(33\) 9.83803 + 27.2296i 0.298122 + 0.825138i
\(34\) 3.39796 + 0.436521i 0.0999400 + 0.0128388i
\(35\) −2.15114 1.24196i −0.0614611 0.0354846i
\(36\) 34.7877 + 9.26366i 0.966325 + 0.257324i
\(37\) 24.1007 + 41.7436i 0.651369 + 1.12820i 0.982791 + 0.184722i \(0.0591383\pi\)
−0.331422 + 0.943483i \(0.607528\pi\)
\(38\) −11.2699 + 4.70956i −0.296575 + 0.123936i
\(39\) −10.2360 58.8632i −0.262461 1.50931i
\(40\) −0.355844 + 1.67969i −0.00889610 + 0.0419923i
\(41\) 19.2926 + 7.02193i 0.470551 + 0.171267i 0.566402 0.824129i \(-0.308335\pi\)
−0.0958510 + 0.995396i \(0.530557\pi\)
\(42\) 51.1610 46.9533i 1.21812 1.11793i
\(43\) 45.0838 + 7.94949i 1.04846 + 0.184872i 0.671231 0.741248i \(-0.265766\pi\)
0.377229 + 0.926120i \(0.376877\pi\)
\(44\) −3.60546 38.4343i −0.0819422 0.873508i
\(45\) −1.81196 0.669204i −0.0402659 0.0148712i
\(46\) −62.8431 + 2.94114i −1.36615 + 0.0639379i
\(47\) −23.9050 + 28.4889i −0.508618 + 0.606147i −0.957850 0.287268i \(-0.907253\pi\)
0.449233 + 0.893415i \(0.351697\pi\)
\(48\) −41.8113 23.5758i −0.871068 0.491162i
\(49\) −14.7507 83.6553i −0.301035 1.70725i
\(50\) −14.8583 + 47.6448i −0.297167 + 0.952896i
\(51\) 2.57991 4.44428i 0.0505865 0.0871427i
\(52\) −6.44545 + 79.4009i −0.123951 + 1.52694i
\(53\) 98.4809 1.85813 0.929065 0.369917i \(-0.120614\pi\)
0.929065 + 0.369917i \(0.120614\pi\)
\(54\) 33.0419 42.7110i 0.611888 0.790945i
\(55\) 2.07126i 0.0376593i
\(56\) −81.7210 + 43.5226i −1.45930 + 0.777190i
\(57\) −0.0432430 + 18.3214i −0.000758649 + 0.321429i
\(58\) −5.15690 + 16.5361i −0.0889120 + 0.285105i
\(59\) 12.4095 2.18814i 0.210331 0.0370871i −0.0674896 0.997720i \(-0.521499\pi\)
0.277821 + 0.960633i \(0.410388\pi\)
\(60\) 2.11545 + 1.46897i 0.0352574 + 0.0244828i
\(61\) −62.8227 52.7145i −1.02988 0.864172i −0.0390434 0.999238i \(-0.512431\pi\)
−0.990837 + 0.135065i \(0.956876\pi\)
\(62\) −0.314920 + 0.0147387i −0.00507936 + 0.000237721i
\(63\) −35.1629 98.0469i −0.558141 1.55630i
\(64\) 46.0978 + 44.3959i 0.720277 + 0.693686i
\(65\) 0.742223 4.20936i 0.0114188 0.0647593i
\(66\) −55.2381 17.3695i −0.836941 0.263175i
\(67\) −18.1950 + 49.9905i −0.271568 + 0.746126i 0.726681 + 0.686975i \(0.241062\pi\)
−0.998249 + 0.0591515i \(0.981160\pi\)
\(68\) −4.81447 + 4.87520i −0.0708010 + 0.0716942i
\(69\) −32.4849 + 88.6003i −0.470796 + 1.28406i
\(70\) 4.58370 1.91548i 0.0654815 0.0273641i
\(71\) −65.5561 + 37.8488i −0.923325 + 0.533082i −0.884694 0.466172i \(-0.845633\pi\)
−0.0386308 + 0.999254i \(0.512300\pi\)
\(72\) −56.9156 + 44.0978i −0.790495 + 0.612469i
\(73\) 13.3902 23.1924i 0.183427 0.317705i −0.759618 0.650369i \(-0.774614\pi\)
0.943045 + 0.332664i \(0.107948\pi\)
\(74\) −95.6168 12.2835i −1.29212 0.165993i
\(75\) 57.2337 + 48.2555i 0.763117 + 0.643406i
\(76\) 6.17457 23.6354i 0.0812444 0.310992i
\(77\) −85.5619 + 71.7950i −1.11119 + 0.932402i
\(78\) 106.034 + 55.0937i 1.35941 + 0.706330i
\(79\) −39.9006 109.626i −0.505071 1.38767i −0.886266 0.463177i \(-0.846709\pi\)
0.381194 0.924495i \(1.62449\pi\)
\(80\) −2.24010 2.60268i −0.0280012 0.0325334i
\(81\) −39.8359 70.5273i −0.491802 0.870707i
\(82\) −34.5616 + 22.1707i −0.421483 + 0.270375i
\(83\) −38.5038 105.788i −0.463901 1.27456i −0.922529 0.385928i \(-0.873881\pi\)
0.458628 0.888628i \(1.65166\pi\)
\(84\) 12.6449 + 138.305i 0.150535 + 1.64649i
\(85\) 0.281624 0.236311i 0.00331322 0.00278012i
\(86\) −67.3098 + 62.0673i −0.782672 + 0.721713i
\(87\) 19.8642 + 16.7481i 0.228324 + 0.192506i
\(88\) 65.5022 + 40.8688i 0.744343 + 0.464418i
\(89\) 59.4575 102.983i 0.668061 1.15712i −0.310384 0.950611i \(-0.600458\pi\)
0.978446 0.206505i \(-0.0662089\pi\)
\(90\) 3.26147 2.07052i 0.0362385 0.0230057i
\(91\) 199.612 115.246i 2.19354 1.26644i
\(92\) 71.5221 103.519i 0.777414 1.12521i
\(93\) −0.162789 + 0.443995i −0.00175042 + 0.00477414i
\(94\) −16.3261 72.5654i −0.173682 0.771972i
\(95\) −0.448295 + 1.23168i −0.00471889 + 0.0129651i
\(96\) 88.1956 37.9148i 0.918704 0.394946i
\(97\) −4.27138 + 24.2242i −0.0440349 + 0.249734i −0.998877 0.0473796i \(-0.984913\pi\)
0.954842 + 0.297114i \(0.0960241\pi\)
\(98\) 150.941 + 77.9746i 1.54021 + 0.795659i
\(99\) −56.1440 + 66.2720i −0.567111 + 0.669414i
\(100\) −57.7633 81.4038i −0.577633 0.814038i
\(101\) 36.2218 + 30.3937i 0.358632 + 0.300928i 0.804245 0.594298i \(-0.202570\pi\)
−0.445613 + 0.895226i \(0.647014\pi\)
\(102\) 3.94043 + 9.49227i 0.0386317 + 0.0930614i
\(103\) −52.3436 + 9.22958i −0.508190 + 0.0896076i −0.421864 0.906659i \(-0.638624\pi\)
−0.0863264 + 0.996267i \(0.527513\pi\)
\(104\) −118.473 106.529i −1.13916 1.02431i
\(105\) 0.0175879 7.45174i 0.000167504 0.0709689i
\(106\) −119.412 + 156.635i −1.12653 + 1.47769i
\(107\) 31.1755i 0.291360i 0.989332 + 0.145680i \(0.0465369\pi\)
−0.989332 + 0.145680i \(0.953463\pi\)
\(108\) 27.8677 + 104.343i 0.258034 + 0.966136i
\(109\) 62.5881 0.574203 0.287101 0.957900i \(-0.407308\pi\)
0.287101 + 0.957900i \(0.407308\pi\)
\(110\) −3.29437 2.51150i −0.0299488 0.0228318i
\(111\) −72.5973 + 125.060i −0.654030 + 1.12666i
\(112\) 29.8669 182.751i 0.266669 1.63171i
\(113\) 22.6665 + 128.548i 0.200589 + 1.13760i 0.904232 + 0.427042i \(0.140444\pi\)
−0.703643 + 0.710554i \(0.748445\pi\)
\(114\) −29.0881 22.2843i −0.255158 0.195476i
\(115\) −4.33953 + 5.17166i −0.0377351 + 0.0449709i
\(116\) −20.0480 28.2529i −0.172827 0.243559i
\(117\) 137.848 114.564i 1.17819 0.979176i
\(118\) −11.5668 + 22.3908i −0.0980241 + 0.189752i
\(119\) 19.5236 + 3.44253i 0.164063 + 0.0289288i
\(120\) −4.90148 + 1.58346i −0.0408457 + 0.0131955i
\(121\) −26.1823 9.52958i −0.216383 0.0787569i
\(122\) 160.018 36.0018i 1.31163 0.295096i
\(123\) 10.5522 + 60.6816i 0.0857901 + 0.493346i
\(124\) 0.358412 0.518756i 0.00289042 0.00418352i
\(125\) 5.36059 + 9.28482i 0.0428847 + 0.0742785i
\(126\) 198.582 + 62.9590i 1.57604 + 0.499675i
\(127\) −26.2396 15.1494i −0.206611 0.119287i 0.393124 0.919485i \(-0.371394\pi\)
−0.599735 + 0.800198i \(0.704727\pi\)
\(128\) −126.508 + 19.4872i −0.988343 + 0.152243i
\(129\) 46.6676 + 129.166i 0.361764 + 1.00129i
\(130\) 5.79507 + 6.28455i 0.0445774 + 0.0483427i
\(131\) 118.464 + 141.179i 0.904302 + 1.07770i 0.996634 + 0.0819767i \(0.0261233\pi\)
−0.0923324 + 0.995728i \(0.529432\pi\)
\(132\) 94.6051 66.7957i 0.716705 0.506028i
\(133\) −66.4186 + 24.1744i −0.499388 + 0.181762i
\(134\) −57.4483 89.5551i −0.428718 0.668322i
\(135\) −0.965820 5.71372i −0.00715422 0.0423239i
\(136\) −1.91633 13.5689i −0.0140907 0.0997712i
\(137\) −23.6048 + 8.59145i −0.172298 + 0.0627113i −0.426729 0.904380i \(-0.640334\pi\)
0.254431 + 0.967091i \(0.418112\pi\)
\(138\) −101.531 159.100i −0.735730 1.15290i
\(139\) −5.61100 6.68693i −0.0403669 0.0481074i 0.745483 0.666524i \(-0.232219\pi\)
−0.785850 + 0.618417i \(0.787774\pi\)
\(140\) −2.51134 + 9.61306i −0.0179381 + 0.0686647i
\(141\) −109.828 19.6330i −0.778921 0.139241i
\(142\) 19.2905 150.161i 0.135849 1.05747i
\(143\) −166.450 96.1000i −1.16399 0.672028i
\(144\) −1.12543 143.996i −0.00781551 0.999969i
\(145\) 0.929394 + 1.60976i 0.00640962 + 0.0111018i
\(146\) 20.6518 + 49.4191i 0.141450 + 0.338487i
\(147\) 195.603 163.345i 1.33063 1.11119i
\(148\) 135.477 137.186i 0.915383 0.926931i
\(149\) −9.12132 3.31989i −0.0612169 0.0222811i 0.311230 0.950335i \(-0.399259\pi\)
−0.372447 + 0.928053i \(0.621481\pi\)
\(150\) −146.149 + 32.5192i −0.974330 + 0.216795i
\(151\) −92.5096 16.3119i −0.612646 0.108026i −0.141289 0.989968i \(-0.545125\pi\)
−0.471357 + 0.881942i \(0.656236\pi\)
\(152\) 30.1055 + 38.4797i 0.198063 + 0.253156i
\(153\) 15.4163 + 0.0727728i 0.100760 + 0.000475639i
\(154\) −10.4434 223.142i −0.0678140 1.44897i
\(155\) −0.0217463 + 0.0259163i −0.000140299 + 0.000167202i
\(156\) −216.199 + 101.846i −1.38589 + 0.652856i
\(157\) −23.4101 132.765i −0.149109 0.845639i −0.963976 0.265991i \(-0.914301\pi\)
0.814867 0.579649i \(-0.196810\pi\)
\(158\) 222.743 + 69.4639i 1.40977 + 0.439645i
\(159\) 147.117 + 256.209i 0.925264 + 1.61138i
\(160\) 6.85581 0.407050i 0.0428488 0.00254406i
\(161\) −364.055 −2.26121
\(162\) 160.478 + 22.1578i 0.990602 + 0.136777i
\(163\) 202.543i 1.24260i 0.783575 + 0.621298i \(0.213394\pi\)
−0.783575 + 0.621298i \(0.786606\pi\)
\(164\) 6.64456 81.8537i 0.0405156 0.499108i
\(165\) −5.38861 + 3.09418i −0.0326583 + 0.0187526i
\(166\) 214.945 + 67.0321i 1.29485 + 0.403808i
\(167\) 147.033 25.9260i 0.880440 0.155245i 0.284887 0.958561i \(-0.408044\pi\)
0.595553 + 0.803316i \(0.296933\pi\)
\(168\) −235.309 147.589i −1.40065 0.878507i
\(169\) 174.373 + 146.316i 1.03179 + 0.865776i
\(170\) 0.0343739 + 0.734464i 0.000202200 + 0.00432038i
\(171\) −47.7298 + 27.2572i −0.279122 + 0.159399i
\(172\) −17.1028 182.317i −0.0994349 1.05998i
\(173\) 54.2893 307.890i 0.313811 1.77971i −0.264998 0.964249i \(-0.585371\pi\)
0.578809 0.815463i \(-0.303518\pi\)
\(174\) −50.7242 + 11.2865i −0.291518 + 0.0648648i
\(175\) −98.7769 + 271.387i −0.564439 + 1.55078i
\(176\) −144.427 + 54.6269i −0.820606 + 0.310380i
\(177\) 24.2308 + 29.0160i 0.136897 + 0.163932i
\(178\) 91.7017 + 219.440i 0.515178 + 1.23281i
\(179\) −23.2554 + 13.4265i −0.129919 + 0.0750086i −0.563551 0.826081i \(-0.690565\pi\)
0.433632 + 0.901090i \(0.357232\pi\)
\(180\) −0.661485 + 7.69800i −0.00367492 + 0.0427667i
\(181\) −144.044 + 249.492i −0.795823 + 1.37841i 0.126492 + 0.991968i \(0.459628\pi\)
−0.922315 + 0.386439i \(0.873705\pi\)
\(182\) −58.7378 + 457.227i −0.322735 + 2.51223i
\(183\) 43.2940 242.188i 0.236579 1.32343i
\(184\) 77.9250 + 239.278i 0.423505 + 1.30043i
\(185\) −7.92475 + 6.64966i −0.0428365 + 0.0359441i
\(186\) −0.508792 0.797281i −0.00273544 0.00428646i
\(187\) −5.65401 15.5343i −0.0302353 0.0830709i
\(188\) 135.212 + 62.0218i 0.719215 + 0.329903i
\(189\) 202.551 237.949i 1.07170 1.25899i
\(190\) −1.41543 2.20649i −0.00744962 0.0116131i
\(191\) −77.1124 211.865i −0.403730 1.10924i −0.960429 0.278525i \(-0.910155\pi\)
0.556699 0.830714i \(1.68793\pi\)
\(192\) −46.6370 + 186.250i −0.242901 + 0.970051i
\(193\) −157.892 + 132.487i −0.818095 + 0.686463i −0.952525 0.304460i \(-0.901524\pi\)
0.134430 + 0.990923i \(0.457080\pi\)
\(194\) −33.3497 36.1666i −0.171906 0.186426i
\(195\) 12.0599 4.35723i 0.0618456 0.0223448i
\(196\) −307.042 + 145.526i −1.56654 + 0.742480i
\(197\) −63.0398 + 109.188i −0.319999 + 0.554255i −0.980487 0.196581i \(-0.937016\pi\)
0.660488 + 0.750836i \(0.270349\pi\)
\(198\) −37.3295 169.656i −0.188533 0.856846i
\(199\) 64.5454 37.2653i 0.324348 0.187263i −0.328981 0.944337i \(-0.606705\pi\)
0.653329 + 0.757074i \(0.273372\pi\)
\(200\) 199.515 + 6.83229i 0.997573 + 0.0341614i
\(201\) −157.237 + 27.3426i −0.782272 + 0.136033i
\(202\) −92.2623 + 20.7576i −0.456744 + 0.102761i
\(203\) −34.2826 + 94.1906i −0.168880 + 0.463993i
\(204\) −19.8755 5.24248i −0.0974291 0.0256984i
\(205\) −0.765152 + 4.33939i −0.00373245 + 0.0211678i
\(206\) 48.7891 94.4445i 0.236840 0.458468i
\(207\) −279.031 + 47.8438i −1.34798 + 0.231129i
\(208\) 313.089 59.2621i 1.50523 0.284914i
\(209\) 45.1497 + 37.8851i 0.216027 + 0.181269i
\(210\) 11.8308 + 9.06354i 0.0563370 + 0.0431597i
\(211\) 26.9666 4.75493i 0.127804 0.0225352i −0.109380 0.994000i \(-0.534887\pi\)
0.237184 + 0.971465i \(0.423776\pi\)
\(212\) −104.338 379.854i −0.492160 1.79177i
\(213\) −196.400 114.010i −0.922064 0.535260i
\(214\) −49.5850 37.8016i −0.231706 0.176643i
\(215\) 9.82521i 0.0456986i
\(216\) −199.749 82.1962i −0.924765 0.380538i
\(217\) −1.82436 −0.00840718
\(218\) −75.8908 + 99.5473i −0.348123 + 0.456639i
\(219\) 80.3408 + 0.189624i 0.366853 + 0.000865861i
\(220\) 7.98914 2.19445i 0.0363143 0.00997476i
\(221\) 5.92385 + 33.5958i 0.0268048 + 0.152017i
\(222\) −110.882 267.108i −0.499467 1.20319i
\(223\) 25.4525 30.3332i 0.114137 0.136023i −0.705951 0.708261i \(-0.749480\pi\)
0.820088 + 0.572238i \(0.193925\pi\)
\(224\) 254.454 + 269.098i 1.13596 + 1.20133i
\(225\) −40.0425 + 220.987i −0.177966 + 0.982164i
\(226\) −231.942 119.819i −1.02629 0.530173i
\(227\) 367.121 + 64.7334i 1.61727 + 0.285169i 0.907750 0.419512i \(-0.137799\pi\)
0.709524 + 0.704681i \(0.248910\pi\)
\(228\) 70.7141 19.2443i 0.310150 0.0844047i
\(229\) 270.130 + 98.3193i 1.17961 + 0.429342i 0.856063 0.516871i \(-0.172903\pi\)
0.323544 + 0.946213i \(0.395126\pi\)
\(230\) −2.96372 13.1730i −0.0128857 0.0572737i
\(231\) −314.600 115.347i −1.36191 0.499337i
\(232\) 69.2457 + 2.37129i 0.298473 + 0.0102211i
\(233\) −183.876 318.482i −0.789166 1.36688i −0.926478 0.376348i \(-0.877180\pi\)
0.137312 0.990528i \(-0.456154\pi\)
\(234\) 15.0685 + 358.162i 0.0643951 + 1.53061i
\(235\) −6.91234 3.99084i −0.0294142 0.0169823i
\(236\) −21.5875 45.5470i −0.0914725 0.192996i
\(237\) 225.598 267.572i 0.951891 1.12900i
\(238\) −29.1486 + 26.8783i −0.122473 + 0.112934i
\(239\) −114.381 136.314i −0.478581 0.570350i 0.471694 0.881762i \(-0.343643\pi\)
−0.950275 + 0.311412i \(0.899198\pi\)
\(240\) 3.42474 9.71590i 0.0142698 0.0404829i
\(241\) 327.606 119.239i 1.35936 0.494766i 0.443503 0.896273i \(-0.353736\pi\)
0.915856 + 0.401507i \(0.131513\pi\)
\(242\) 46.9041 30.0883i 0.193819 0.124332i
\(243\) 123.975 208.996i 0.510185 0.860065i
\(244\) −136.768 + 298.165i −0.560525 + 1.22199i
\(245\) 17.1317 6.23544i 0.0699254 0.0254508i
\(246\) −109.310 56.7957i −0.444349 0.230877i
\(247\) −78.1804 93.1718i −0.316520 0.377214i
\(248\) 0.390499 + 1.19907i 0.00157459 + 0.00483498i
\(249\) 217.700 258.205i 0.874298 1.03697i
\(250\) −21.2676 2.73215i −0.0850704 0.0109286i
\(251\) 110.893 + 64.0244i 0.441806 + 0.255077i 0.704364 0.709839i \(-0.251232\pi\)
−0.262557 + 0.964916i \(0.584566\pi\)
\(252\) −340.926 + 239.506i −1.35288 + 0.950421i
\(253\) 151.787 + 262.903i 0.599949 + 1.03914i
\(254\) 55.9120 23.3651i 0.220126 0.0919885i
\(255\) 1.03550 + 0.379660i 0.00406077 + 0.00148886i
\(256\) 122.402 224.842i 0.478132 0.878288i
\(257\) −251.532 91.5503i −0.978725 0.356227i −0.197381 0.980327i \(-0.563244\pi\)
−0.781344 + 0.624100i \(0.785466\pi\)
\(258\) −262.027 82.3938i −1.01561 0.319356i
\(259\) −549.383 96.8710i −2.12117 0.374019i
\(260\) −17.0224 + 1.59684i −0.0654709 + 0.00614171i
\(261\) −13.8976 + 76.6981i −0.0532474 + 0.293862i
\(262\) −368.190 + 17.2318i −1.40531 + 0.0657702i
\(263\) 167.815 199.995i 0.638081 0.760436i −0.345985 0.938240i \(-0.612455\pi\)
0.984066 + 0.177805i \(0.0568995\pi\)
\(264\) −8.47336 + 231.463i −0.0320961 + 0.876755i
\(265\) 3.67024 + 20.8150i 0.0138500 + 0.0785471i
\(266\) 42.0858 134.952i 0.158217 0.507339i
\(267\) 356.744 + 0.842001i 1.33612 + 0.00315356i
\(268\) 212.097 + 17.2172i 0.791408 + 0.0642434i
\(269\) 316.834 1.17782 0.588910 0.808199i \(-0.299557\pi\)
0.588910 + 0.808199i \(0.299557\pi\)
\(270\) 10.2589 + 5.39199i 0.0379958 + 0.0199703i
\(271\) 175.899i 0.649072i −0.945873 0.324536i \(-0.894792\pi\)
0.945873 0.324536i \(-0.105208\pi\)
\(272\) 23.9051 + 13.4049i 0.0878865 + 0.0492828i
\(273\) 598.018 + 347.151i 2.19054 + 1.27161i
\(274\) 14.9571 47.9613i 0.0545878 0.175041i
\(275\) 237.166 41.8188i 0.862422 0.152068i
\(276\) 376.161 + 31.4291i 1.36290 + 0.113873i
\(277\) 12.2521 + 10.2807i 0.0442313 + 0.0371144i 0.664635 0.747168i \(-0.268587\pi\)
−0.620404 + 0.784282i \(0.713031\pi\)
\(278\) 17.4392 0.816180i 0.0627311 0.00293590i
\(279\) −1.39829 + 0.239755i −0.00501178 + 0.000859338i
\(280\) −12.2446 15.6506i −0.0437307 0.0558949i
\(281\) −55.2824 + 313.522i −0.196734 + 1.11574i 0.713193 + 0.700968i \(0.247248\pi\)
−0.909927 + 0.414768i \(0.863863\pi\)
\(282\) 164.398 150.877i 0.582971 0.535025i
\(283\) −70.4466 + 193.550i −0.248928 + 0.683924i 0.750798 + 0.660531i \(0.229669\pi\)
−0.999726 + 0.0233925i \(0.992553\pi\)
\(284\) 215.443 + 212.759i 0.758602 + 0.749152i
\(285\) −3.87404 + 0.673674i −0.0135931 + 0.00236377i
\(286\) 354.677 148.216i 1.24013 0.518237i
\(287\) −205.778 + 118.806i −0.716998 + 0.413959i
\(288\) 230.392 + 172.811i 0.799971 + 0.600038i
\(289\) 143.033 247.740i 0.494924 0.857233i
\(290\) −3.68728 0.473688i −0.0127147 0.00163341i
\(291\) −69.4028 + 25.0752i −0.238498 + 0.0861691i
\(292\) −103.643 27.0759i −0.354942 0.0927258i
\(293\) 74.1234 62.1969i 0.252981 0.212276i −0.507474 0.861667i \(-0.669421\pi\)
0.760455 + 0.649391i \(0.224976\pi\)
\(294\) 22.6257 + 509.173i 0.0769582 + 1.73188i
\(295\) 0.924972 + 2.54134i 0.00313550 + 0.00861471i
\(296\) 53.9245 + 381.821i 0.182177 + 1.28994i
\(297\) −256.285 47.0635i −0.862914 0.158463i
\(298\) 16.3403 10.4821i 0.0548333 0.0351748i
\(299\) −214.262 588.681i −0.716596 1.96883i
\(300\) 125.490 271.884i 0.418301 0.906279i
\(301\) −405.870 + 340.566i −1.34841 + 1.13145i
\(302\) 138.116 127.359i 0.457339 0.421718i
\(303\) −24.9621 + 139.639i −0.0823833 + 0.460855i
\(304\) −97.7069 + 1.22492i −0.321404 + 0.00402935i
\(305\) 8.80046 15.2428i 0.0288540 0.0499765i
\(306\) −18.8087 + 24.4316i −0.0614663 + 0.0798419i
\(307\) −234.193 + 135.212i −0.762845 + 0.440429i −0.830316 0.557293i \(-0.811840\pi\)
0.0674715 + 0.997721i \(0.478507\pi\)
\(308\) 367.574 + 253.959i 1.19342 + 0.824543i
\(309\) −102.206 122.390i −0.330764 0.396083i
\(310\) −0.0148518 0.0660125i −4.79091e−5 0.000212943i
\(311\) −6.59888 + 18.1303i −0.0212183 + 0.0582967i −0.949850 0.312707i \(-0.898764\pi\)
0.928631 + 0.371004i \(0.120986\pi\)
\(312\) 100.164 467.359i 0.321037 1.49795i
\(313\) 84.3023 478.102i 0.269337 1.52748i −0.487059 0.873369i \(-0.661930\pi\)
0.756396 0.654114i \(-0.226959\pi\)
\(314\) 239.551 + 123.750i 0.762901 + 0.394107i
\(315\) 19.4128 11.0861i 0.0616279 0.0351941i
\(316\) −380.569 + 270.048i −1.20433 + 0.854583i
\(317\) 420.029 + 352.446i 1.32501 + 1.11182i 0.985216 + 0.171318i \(0.0548024\pi\)
0.339796 + 0.940499i \(0.389642\pi\)
\(318\) −585.890 76.6727i −1.84242 0.241109i
\(319\) 82.3134 14.5141i 0.258036 0.0454987i
\(320\) −7.66555 + 11.3978i −0.0239549 + 0.0356182i
\(321\) −81.1064 + 46.5719i −0.252668 + 0.145084i
\(322\) 441.433 579.035i 1.37091 1.79825i
\(323\) 10.4612i 0.0323876i
\(324\) −229.828 + 228.375i −0.709347 + 0.704860i
\(325\) −496.970 −1.52914
\(326\) −322.148 245.592i −0.988183 0.753351i
\(327\) 93.4981 + 162.830i 0.285927 + 0.497950i
\(328\) 122.133 + 109.820i 0.372356 + 0.334816i
\(329\) −74.7406 423.875i −0.227175 1.28837i
\(330\) 1.61259 12.3225i 0.00488663 0.0373409i
\(331\) 349.160 416.112i 1.05486 1.25714i 0.0895664 0.995981i \(-0.471452\pi\)
0.965297 0.261156i \(-0.0841037\pi\)
\(332\) −367.246 + 260.594i −1.10616 + 0.784922i
\(333\) −433.807 2.04779i −1.30272 0.00614952i
\(334\) −137.049 + 265.295i −0.410326 + 0.794297i
\(335\) −11.2441 1.98264i −0.0335646 0.00591834i
\(336\) 520.065 195.304i 1.54781 0.581261i
\(337\) 187.444 + 68.2240i 0.556214 + 0.202445i 0.604805 0.796374i \(-0.293251\pi\)
−0.0485915 + 0.998819i \(0.515473\pi\)
\(338\) −444.153 + 99.9277i −1.31406 + 0.295644i
\(339\) −300.572 + 251.003i −0.886643 + 0.740422i
\(340\) −1.20986 0.835898i −0.00355840 0.00245852i
\(341\) 0.760637 + 1.31746i 0.00223061 + 0.00386352i
\(342\) 14.5215 108.966i 0.0424605 0.318613i
\(343\) 360.283 + 208.010i 1.05039 + 0.606442i
\(344\) 310.715 + 193.865i 0.903242 + 0.563560i
\(345\) −19.9373 3.56402i −0.0577893 0.0103305i
\(346\) 423.876 + 459.678i 1.22507 + 1.32855i
\(347\) 19.9944 + 23.8284i 0.0576208 + 0.0686697i 0.794085 0.607807i \(-0.207950\pi\)
−0.736464 + 0.676477i \(0.763506\pi\)
\(348\) 43.5540 94.3629i 0.125155 0.271158i
\(349\) −181.722 + 66.1414i −0.520694 + 0.189517i −0.588978 0.808149i \(-0.700470\pi\)
0.0682846 + 0.997666i \(0.478247\pi\)
\(350\) −311.874 486.175i −0.891069 1.38907i
\(351\) 503.975 + 187.484i 1.43583 + 0.534142i
\(352\) 88.2388 295.950i 0.250678 0.840768i
\(353\) −247.782 + 90.1852i −0.701932 + 0.255482i −0.668235 0.743950i \(-0.732950\pi\)
−0.0336962 + 0.999432i \(0.510728\pi\)
\(354\) −75.5313 + 3.35633i −0.213365 + 0.00948115i
\(355\) −10.4429 12.4454i −0.0294167 0.0350575i
\(356\) −460.215 120.228i −1.29274 0.337718i
\(357\) 20.2094 + 55.9353i 0.0566090 + 0.156682i
\(358\) 6.84315 53.2684i 0.0191149 0.148794i
\(359\) 250.254 + 144.484i 0.697086 + 0.402463i 0.806261 0.591560i \(-0.201488\pi\)
−0.109175 + 0.994023i \(0.534821\pi\)
\(360\) −11.4417 10.3863i −0.0317825 0.0288507i
\(361\) −161.851 280.335i −0.448342 0.776550i
\(362\) −222.160 531.624i −0.613702 1.46857i
\(363\) −14.3206 82.3520i −0.0394506 0.226865i
\(364\) −656.004 647.831i −1.80221 1.77976i
\(365\) 5.40101 + 1.96581i 0.0147973 + 0.00538577i
\(366\) 332.708 + 362.524i 0.909039 + 0.990502i
\(367\) 443.020 + 78.1163i 1.20714 + 0.212851i 0.740782 0.671746i \(-0.234455\pi\)
0.466356 + 0.884597i \(0.345566\pi\)
\(368\) −475.063 166.195i −1.29093 0.451616i
\(369\) −142.106 + 118.103i −0.385112 + 0.320061i
\(370\) −0.967265 20.6674i −0.00261423 0.0558579i
\(371\) −732.629 + 873.113i −1.97474 + 2.35340i
\(372\) 1.88502 + 0.157498i 0.00506726 + 0.000423381i
\(373\) −40.7778 231.262i −0.109324 0.620006i −0.989405 0.145183i \(-0.953623\pi\)
0.880081 0.474824i \(-0.157488\pi\)
\(374\) 31.5632 + 9.84319i 0.0843936 + 0.0263187i
\(375\) −16.1475 + 27.8164i −0.0430599 + 0.0741771i
\(376\) −262.598 + 139.853i −0.698398 + 0.371950i
\(377\) −172.484 −0.457517
\(378\) 132.859 + 610.684i 0.351479 + 1.61557i
\(379\) 24.5603i 0.0648028i −0.999475 0.0324014i \(-0.989685\pi\)
0.999475 0.0324014i \(-0.0103155\pi\)
\(380\) 5.22572 + 0.424203i 0.0137519 + 0.00111632i
\(381\) 0.214537 90.8963i 0.000563090 0.238573i
\(382\) 430.476 + 134.247i 1.12690 + 0.351431i
\(383\) −586.109 + 103.347i −1.53031 + 0.269835i −0.874475 0.485070i \(-0.838794\pi\)
−0.655835 + 0.754905i \(0.727683\pi\)
\(384\) −239.684 300.013i −0.624176 0.781284i
\(385\) −18.3634 15.4087i −0.0476972 0.0400227i
\(386\) −19.2717 411.777i −0.0499267 1.06678i
\(387\) −266.324 + 314.367i −0.688176 + 0.812317i
\(388\) 97.9615 9.18960i 0.252478 0.0236845i
\(389\) −57.6262 + 326.814i −0.148139 + 0.840139i 0.816654 + 0.577128i \(0.195827\pi\)
−0.964793 + 0.263011i \(0.915284\pi\)
\(390\) −7.69290 + 24.4648i −0.0197254 + 0.0627301i
\(391\) 18.4288 50.6327i 0.0471325 0.129495i
\(392\) 140.841 664.812i 0.359288 1.69595i
\(393\) −190.325 + 519.099i −0.484288 + 1.32086i
\(394\) −97.2268 232.661i −0.246769 0.590511i
\(395\) 21.6836 12.5190i 0.0548952 0.0316938i
\(396\) 315.103 + 146.342i 0.795715 + 0.369550i
\(397\) −42.7323 + 74.0146i −0.107638 + 0.186435i −0.914813 0.403878i \(-0.867662\pi\)
0.807175 + 0.590312i \(0.200995\pi\)
\(398\) −18.9931 + 147.846i −0.0477214 + 0.371473i
\(399\) −162.113 136.682i −0.406297 0.342561i
\(400\) −252.787 + 309.046i −0.631968 + 0.772616i
\(401\) 129.017 108.258i 0.321738 0.269970i −0.467586 0.883948i \(-0.654876\pi\)
0.789323 + 0.613978i \(0.210432\pi\)
\(402\) 147.168 283.241i 0.366088 0.704580i
\(403\) −1.07371 2.95000i −0.00266430 0.00732011i
\(404\) 78.8568 171.914i 0.195190 0.425530i
\(405\) 13.4221 11.0482i 0.0331409 0.0272795i
\(406\) −108.242 168.737i −0.266607 0.415609i
\(407\) 159.101 + 437.126i 0.390911 + 1.07402i
\(408\) 32.4382 25.2556i 0.0795054 0.0619010i
\(409\) −106.572 + 89.4245i −0.260567 + 0.218642i −0.763707 0.645563i \(-0.776623\pi\)
0.503139 + 0.864205i \(0.332178\pi\)
\(410\) −5.97409 6.47869i −0.0145709 0.0158017i
\(411\) −57.6140 48.5761i −0.140180 0.118190i
\(412\) 91.0564 + 192.118i 0.221011 + 0.466306i
\(413\) −72.9187 + 126.299i −0.176559 + 0.305808i
\(414\) 262.242 501.816i 0.633434 1.21212i
\(415\) 20.9245 12.0808i 0.0504205 0.0291103i
\(416\) −285.377 + 569.830i −0.686002 + 1.36978i
\(417\) 9.01471 24.5870i 0.0216180 0.0589616i
\(418\) −115.003 + 25.8739i −0.275127 + 0.0618993i
\(419\) 48.4909 133.228i 0.115730 0.317966i −0.868281 0.496073i \(-0.834775\pi\)
0.984011 + 0.178107i \(0.0569972\pi\)
\(420\) −28.7610 + 7.82708i −0.0684786 + 0.0186359i
\(421\) 18.5532 105.220i 0.0440694 0.249930i −0.954812 0.297209i \(-0.903944\pi\)
0.998882 + 0.0472796i \(0.0150552\pi\)
\(422\) −25.1354 + 48.6563i −0.0595625 + 0.115299i
\(423\) −112.990 315.058i −0.267117 0.744818i
\(424\) 730.678 + 294.639i 1.72330 + 0.694904i
\(425\) −32.7443 27.4757i −0.0770454 0.0646488i
\(426\) 419.478 174.134i 0.984691 0.408765i
\(427\) 934.714 164.815i 2.18903 0.385984i
\(428\) 120.248 33.0296i 0.280953 0.0771719i
\(429\) 1.36091 576.598i 0.00317229 1.34405i
\(430\) −15.6271 11.9135i −0.0363422 0.0277058i
\(431\) 560.222i 1.29982i 0.760012 + 0.649910i \(0.225193\pi\)
−0.760012 + 0.649910i \(0.774807\pi\)
\(432\) 372.939 218.038i 0.863285 0.504717i
\(433\) 381.789 0.881731 0.440865 0.897573i \(-0.354672\pi\)
0.440865 + 0.897573i \(0.354672\pi\)
\(434\) 2.21211 2.90167i 0.00509704 0.00668587i
\(435\) −2.79957 + 4.82268i −0.00643580 + 0.0110866i
\(436\) −66.3104 241.411i −0.152088 0.553695i
\(437\) 33.3589 + 189.188i 0.0763362 + 0.432924i
\(438\) −97.7183 + 127.553i −0.223101 + 0.291217i
\(439\) −310.625 + 370.189i −0.707575 + 0.843255i −0.993361 0.115038i \(-0.963301\pi\)
0.285786 + 0.958293i \(0.407745\pi\)
\(440\) −6.19689 + 15.3677i −0.0140838 + 0.0349266i
\(441\) 717.165 + 264.867i 1.62622 + 0.600606i
\(442\) −60.6176 31.3145i −0.137144 0.0708472i
\(443\) 310.302 + 54.7146i 0.700456 + 0.123509i 0.512524 0.858673i \(-0.328711\pi\)
0.187932 + 0.982182i \(0.439822\pi\)
\(444\) 559.287 + 147.521i 1.25966 + 0.332254i
\(445\) 23.9825 + 8.72893i 0.0538933 + 0.0196156i
\(446\) 17.3830 + 77.2630i 0.0389754 + 0.173235i
\(447\) −4.98895 28.6896i −0.0111610 0.0641825i
\(448\) −736.541 + 78.4196i −1.64406 + 0.175044i
\(449\) 408.322 + 707.234i 0.909402 + 1.57513i 0.814897 + 0.579606i \(0.196794\pi\)
0.0945056 + 0.995524i \(0.469873\pi\)
\(450\) −302.930 331.645i −0.673177 0.736988i
\(451\) 171.592 + 99.0687i 0.380470 + 0.219665i
\(452\) 471.814 223.622i 1.04384 0.494738i
\(453\) −95.7595 265.042i −0.211390 0.585081i
\(454\) −548.110 + 505.420i −1.20729 + 1.11326i
\(455\) 31.7978 + 37.8951i 0.0698852 + 0.0832859i
\(456\) −55.1357 + 135.806i −0.120912 + 0.297821i
\(457\) 48.2527 17.5625i 0.105586 0.0384301i −0.288687 0.957424i \(-0.593219\pi\)
0.394273 + 0.918993i \(0.370996\pi\)
\(458\) −483.923 + 310.429i −1.05660 + 0.677793i
\(459\) 22.8405 + 40.2159i 0.0497615 + 0.0876164i
\(460\) 24.5454 + 11.2590i 0.0533596 + 0.0244760i
\(461\) 559.359 203.590i 1.21336 0.441627i 0.345492 0.938422i \(-0.387712\pi\)
0.867868 + 0.496795i \(0.165490\pi\)
\(462\) 564.928 360.513i 1.22279 0.780332i
\(463\) −277.457 330.660i −0.599259 0.714169i 0.378098 0.925766i \(-0.376578\pi\)
−0.977357 + 0.211597i \(0.932134\pi\)
\(464\) −87.7350 + 107.261i −0.189084 + 0.231166i
\(465\) −0.0999100 0.0178601i −0.000214860 3.84088e-5i
\(466\) 729.508 + 93.7165i 1.56547 + 0.201108i
\(467\) −654.186 377.694i −1.40083 0.808767i −0.406349 0.913718i \(-0.633198\pi\)
−0.994477 + 0.104951i \(0.966532\pi\)
\(468\) −587.934 410.321i −1.25627 0.876754i
\(469\) −307.848 533.208i −0.656392 1.13690i
\(470\) 14.7290 6.15511i 0.0313383 0.0130960i
\(471\) 310.432 259.237i 0.659091 0.550398i
\(472\) 98.6190 + 20.8925i 0.208939 + 0.0442638i
\(473\) 415.161 + 151.106i 0.877719 + 0.319464i
\(474\) 152.030 + 683.261i 0.320738 + 1.44148i
\(475\) 150.082 + 26.4636i 0.315963 + 0.0557128i
\(476\) −7.40637 78.9523i −0.0155596 0.165866i
\(477\) −446.782 + 765.482i −0.936651 + 1.60478i
\(478\) 355.501 16.6379i 0.743726 0.0348074i
\(479\) 379.355 452.098i 0.791974 0.943837i −0.207434 0.978249i \(-0.566511\pi\)
0.999408 + 0.0344117i \(0.0109557\pi\)
\(480\) 11.3006 + 17.2281i 0.0235430 + 0.0358918i
\(481\) −166.694 945.370i −0.346558 1.96543i
\(482\) −207.585 + 665.644i −0.430675 + 1.38100i
\(483\) −543.849 947.130i −1.12598 1.96093i
\(484\) −9.01745 + 111.085i −0.0186311 + 0.229515i
\(485\) −5.27924 −0.0108850
\(486\) 182.086 + 450.601i 0.374662 + 0.927162i
\(487\) 474.186i 0.973688i −0.873489 0.486844i \(-0.838148\pi\)
0.873489 0.486844i \(-0.161852\pi\)
\(488\) −308.399 579.070i −0.631965 1.18662i
\(489\) −526.938 + 302.572i −1.07758 + 0.618756i
\(490\) −10.8554 + 34.8090i −0.0221539 + 0.0710388i
\(491\) −280.087 + 49.3868i −0.570441 + 0.100584i −0.451427 0.892308i \(-0.649085\pi\)
−0.119015 + 0.992892i \(0.537974\pi\)
\(492\) 222.877 104.992i 0.453003 0.213398i
\(493\) −11.3646 9.53602i −0.0230519 0.0193428i
\(494\) 242.988 11.3722i 0.491879 0.0230206i
\(495\) −16.0997 9.39678i −0.0325247 0.0189834i
\(496\) −2.38064 0.832837i −0.00479968 0.00167911i
\(497\) 152.131 862.777i 0.306098 1.73597i
\(498\) 146.708 + 659.340i 0.294593 + 1.32398i
\(499\) 128.475 352.983i 0.257465 0.707380i −0.741857 0.670559i \(-0.766054\pi\)
0.999322 0.0368216i \(-0.0117233\pi\)
\(500\) 30.1334 30.5136i 0.0602668 0.0610271i
\(501\) 287.097 + 343.794i 0.573048 + 0.686215i
\(502\) −236.295 + 98.7453i −0.470707 + 0.196704i
\(503\) 461.157 266.249i 0.916814 0.529323i 0.0341967 0.999415i \(-0.489113\pi\)
0.882617 + 0.470092i \(0.155779\pi\)
\(504\) 32.4499 832.660i 0.0643847 1.65210i
\(505\) −5.07411 + 8.78861i −0.0100477 + 0.0174032i
\(506\) −602.199 77.3618i −1.19012 0.152889i
\(507\) −120.168 + 672.226i −0.237018 + 1.32589i
\(508\) −30.6333 + 117.260i −0.0603018 + 0.230827i
\(509\) 142.299 119.403i 0.279565 0.234583i −0.492213 0.870475i \(-0.663812\pi\)
0.771778 + 0.635892i \(0.219367\pi\)
\(510\) −1.85944 + 1.18662i −0.00364596 + 0.00232670i
\(511\) 106.006 + 291.250i 0.207449 + 0.569962i
\(512\) 209.196 + 467.312i 0.408587 + 0.912719i
\(513\) −142.214 83.4557i −0.277221 0.162682i
\(514\) 450.606 289.057i 0.876666 0.562368i
\(515\) −3.90154 10.7194i −0.00757581 0.0208144i
\(516\) 448.767 316.851i 0.869704 0.614052i
\(517\) −274.940 + 230.702i −0.531799 + 0.446232i
\(518\) 820.225 756.341i 1.58345 1.46012i
\(519\) 882.111 318.706i 1.69964 0.614078i
\(520\) 18.1007 29.0107i 0.0348089 0.0557898i
\(521\) 87.3646 151.320i 0.167686 0.290441i −0.769920 0.638141i \(-0.779704\pi\)
0.937606 + 0.347700i \(0.113037\pi\)
\(522\) −105.138 115.104i −0.201414 0.220506i
\(523\) −721.777 + 416.718i −1.38007 + 0.796784i −0.992167 0.124916i \(-0.960134\pi\)
−0.387903 + 0.921700i \(0.626800\pi\)
\(524\) 419.039 606.506i 0.799693 1.15745i
\(525\) −853.603 + 148.437i −1.62591 + 0.282737i
\(526\) 114.611 + 509.415i 0.217891 + 0.968470i
\(527\) 0.0923506 0.253731i 0.000175238 0.000481463i
\(528\) −357.872 294.137i −0.677787 0.557077i
\(529\) −79.9609 + 453.481i −0.151155 + 0.857242i
\(530\) −37.5569 19.4015i −0.0708620 0.0366066i
\(531\) −39.2907 + 106.385i −0.0739938 + 0.200349i
\(532\) 163.613 + 230.574i 0.307543 + 0.433409i
\(533\) −313.220 262.823i −0.587656 0.493102i
\(534\) −433.907 + 566.385i −0.812559 + 1.06065i
\(535\) −6.58927 + 1.16187i −0.0123164 + 0.00217171i
\(536\) −284.562 + 316.467i −0.530898 + 0.590424i
\(537\) −69.6711 40.4442i −0.129741 0.0753150i
\(538\) −384.175 + 503.929i −0.714080 + 0.936670i
\(539\) 819.793i 1.52095i
\(540\) −21.0154 + 9.77884i −0.0389173 + 0.0181090i
\(541\) 313.109 0.578760 0.289380 0.957214i \(-0.406551\pi\)
0.289380 + 0.957214i \(0.406551\pi\)
\(542\) 279.769 + 213.285i 0.516179 + 0.393514i
\(543\) −864.262 2.03987i −1.59164 0.00375666i
\(544\) −50.3068 + 21.7674i −0.0924757 + 0.0400136i
\(545\) 2.33257 + 13.2287i 0.00427995 + 0.0242728i
\(546\) −1277.27 + 530.222i −2.33933 + 0.971102i
\(547\) −372.771 + 444.251i −0.681482 + 0.812158i −0.990297 0.138964i \(-0.955623\pi\)
0.308816 + 0.951122i \(0.400067\pi\)
\(548\) 58.1471 + 81.9447i 0.106108 + 0.149534i
\(549\) 694.755 249.162i 1.26549 0.453848i
\(550\) −221.061 + 427.923i −0.401929 + 0.778042i
\(551\) 52.0892 + 9.18473i 0.0945358 + 0.0166692i
\(552\) −506.100 + 560.180i −0.916847 + 1.01482i
\(553\) 1268.76 + 461.790i 2.29432 + 0.835063i
\(554\) −31.2078 + 7.02128i −0.0563317 + 0.0126738i
\(555\) −29.1383 10.6834i −0.0525015 0.0192494i
\(556\) −19.8477 + 28.7270i −0.0356973 + 0.0516673i
\(557\) −39.2530 67.9882i −0.0704722 0.122061i 0.828636 0.559788i \(-0.189117\pi\)
−0.899108 + 0.437726i \(0.855784\pi\)
\(558\) 1.31415 2.51471i 0.00235511 0.00450664i
\(559\) −789.570 455.859i −1.41247 0.815489i
\(560\) 39.7396 0.498204i 0.0709636 0.000889650i
\(561\) 31.9678 37.9156i 0.0569835 0.0675857i
\(562\) −431.629 468.086i −0.768023 0.832894i
\(563\) −28.0423 33.4195i −0.0498087 0.0593597i 0.740565 0.671985i \(-0.234558\pi\)
−0.790374 + 0.612625i \(0.790114\pi\)
\(564\) 40.6325 + 444.422i 0.0720434 + 0.787982i
\(565\) −26.3253 + 9.58163i −0.0465935 + 0.0169586i
\(566\) −222.425 346.735i −0.392977 0.612606i
\(567\) 921.633 + 171.496i 1.62546 + 0.302462i
\(568\) −599.631 + 84.6856i −1.05569 + 0.149094i
\(569\) −623.877 + 227.073i −1.09645 + 0.399074i −0.826005 0.563663i \(-0.809392\pi\)
−0.270441 + 0.962737i \(0.587169\pi\)
\(570\) 3.62596 6.97858i 0.00636133 0.0122431i
\(571\) −316.761 377.501i −0.554747 0.661122i 0.413679 0.910423i \(-0.364244\pi\)
−0.968426 + 0.249301i \(0.919799\pi\)
\(572\) −194.322 + 743.836i −0.339723 + 1.30041i
\(573\) 435.994 517.113i 0.760896 0.902467i
\(574\) 60.5524 471.352i 0.105492 0.821170i
\(575\) 679.786 + 392.475i 1.18224 + 0.682565i
\(576\) −554.219 + 156.900i −0.962185 + 0.272397i
\(577\) −4.25933 7.37738i −0.00738186 0.0127858i 0.862311 0.506379i \(-0.169016\pi\)
−0.869693 + 0.493594i \(0.835683\pi\)
\(578\) 220.601 + 527.892i 0.381662 + 0.913308i
\(579\) −580.550 212.856i −1.00268 0.367627i
\(580\) 5.22439 5.29030i 0.00900757 0.00912120i
\(581\) 1224.34 + 445.623i 2.10730 + 0.766993i
\(582\) 44.2715 140.791i 0.0760678 0.241909i
\(583\) 935.977 + 165.038i 1.60545 + 0.283084i
\(584\) 168.736 132.015i 0.288932 0.226053i
\(585\) 29.3516 + 24.8660i 0.0501737 + 0.0425060i
\(586\) 9.04722 + 193.311i 0.0154389 + 0.329882i
\(587\) −265.990 + 316.994i −0.453134 + 0.540024i −0.943447 0.331522i \(-0.892438\pi\)
0.490313 + 0.871546i \(0.336882\pi\)
\(588\) −837.281 581.408i −1.42395 0.988789i
\(589\) 0.167169 + 0.948061i 0.000283818 + 0.00160961i
\(590\) −5.16361 1.61031i −0.00875188 0.00272933i
\(591\) −378.238 0.892733i −0.639997 0.00151055i
\(592\) −672.678 377.208i −1.13628 0.637175i
\(593\) −105.821 −0.178450 −0.0892252 0.996011i \(-0.528439\pi\)
−0.0892252 + 0.996011i \(0.528439\pi\)
\(594\) 385.612 350.559i 0.649179 0.590167i
\(595\) 4.25481i 0.00715094i
\(596\) −3.14147 + 38.6995i −0.00527093 + 0.0649321i
\(597\) 193.372 + 112.253i 0.323906 + 0.188028i
\(598\) 1196.11 + 373.014i 2.00018 + 0.623770i
\(599\) 430.103 75.8387i 0.718035 0.126609i 0.197319 0.980339i \(-0.436776\pi\)
0.520715 + 0.853730i \(0.325665\pi\)
\(600\) 280.273 + 529.265i 0.467121 + 0.882109i
\(601\) −756.042 634.394i −1.25797 1.05556i −0.995895 0.0905178i \(-0.971148\pi\)
−0.262078 0.965047i \(-0.584408\pi\)
\(602\) −49.5390 1058.49i −0.0822906 1.75830i
\(603\) −306.025 368.222i −0.507504 0.610650i
\(604\) 35.0941 + 374.104i 0.0581028 + 0.619378i
\(605\) 1.03840 5.88907i 0.00171637 0.00973400i
\(606\) −191.830 209.021i −0.316552 0.344920i
\(607\) −258.006 + 708.866i −0.425051 + 1.16782i 0.523730 + 0.851884i \(0.324540\pi\)
−0.948781 + 0.315934i \(0.897682\pi\)
\(608\) 116.526 156.889i 0.191654 0.258042i
\(609\) −296.261 + 51.5181i −0.486471 + 0.0845945i
\(610\) 13.5730 + 32.4799i 0.0222509 + 0.0532457i
\(611\) 641.422 370.325i 1.04979 0.606097i
\(612\) −16.0525 59.5399i −0.0262295 0.0972875i
\(613\) 88.3953 153.105i 0.144201 0.249764i −0.784874 0.619656i \(-0.787272\pi\)
0.929075 + 0.369892i \(0.120605\pi\)
\(614\) 68.9137 536.438i 0.112237 0.873677i
\(615\) −12.4324 + 4.49184i −0.0202154 + 0.00730380i
\(616\) −849.625 + 276.695i −1.37926 + 0.449180i
\(617\) −385.320 + 323.322i −0.624506 + 0.524023i −0.899216 0.437504i \(-0.855862\pi\)
0.274710 + 0.961527i \(0.411418\pi\)
\(618\) 318.592 14.1570i 0.515521 0.0229078i
\(619\) −82.2498 225.980i −0.132875 0.365072i 0.855356 0.518041i \(-0.173339\pi\)
−0.988231 + 0.152969i \(0.951116\pi\)
\(620\) 0.123002 + 0.0564210i 0.000198391 + 9.10016e-5i
\(621\) −541.306 654.459i −0.871668 1.05388i
\(622\) −20.8350 32.4794i −0.0334968 0.0522177i
\(623\) 470.709 + 1293.26i 0.755552 + 2.07586i
\(624\) 621.889 + 726.005i 0.996617 + 1.16347i
\(625\) 476.133 399.523i 0.761813 0.639237i
\(626\) 658.208 + 713.804i 1.05145 + 1.14026i
\(627\) −31.1147 + 174.057i −0.0496248 + 0.277603i
\(628\) −487.292 + 230.957i −0.775943 + 0.367767i
\(629\) 41.2830 71.5043i 0.0656328 0.113679i
\(630\) −5.90622 + 44.3187i −0.00937495 + 0.0703472i
\(631\) 72.3715 41.7837i 0.114693 0.0662182i −0.441556 0.897234i \(-0.645573\pi\)
0.556249 + 0.831016i \(0.312240\pi\)
\(632\) 31.9415 932.747i 0.0505403 1.47586i
\(633\) 52.6549 + 63.0533i 0.0831830 + 0.0996102i
\(634\) −1069.87 + 240.706i −1.68750 + 0.379662i
\(635\) 2.22408 6.11062i 0.00350249 0.00962302i
\(636\) 832.366 838.897i 1.30875 1.31902i
\(637\) −293.768 + 1666.04i −0.461174 + 2.61545i
\(638\) −76.7238 + 148.520i −0.120257 + 0.232789i
\(639\) 3.21595 681.271i 0.00503278 1.06615i
\(640\) −8.83360 26.0125i −0.0138025 0.0406446i
\(641\) −709.440 595.291i −1.10677 0.928691i −0.108909 0.994052i \(-0.534736\pi\)
−0.997862 + 0.0653607i \(0.979180\pi\)
\(642\) 24.2718 185.471i 0.0378065 0.288896i
\(643\) 0.379828 0.0669739i 0.000590712 0.000104159i −0.173353 0.984860i \(-0.555460\pi\)
0.173944 + 0.984756i \(0.444349\pi\)
\(644\) 385.707 + 1404.21i 0.598924 + 2.18045i
\(645\) −25.5613 + 14.6775i −0.0396300 + 0.0227558i
\(646\) 16.6387 + 12.6847i 0.0257565 + 0.0196357i
\(647\) 295.175i 0.456222i −0.973635 0.228111i \(-0.926745\pi\)
0.973635 0.228111i \(-0.0732549\pi\)
\(648\) −84.5560 642.460i −0.130488 0.991450i
\(649\) 121.609 0.187379
\(650\) 602.598 790.439i 0.927075 1.21606i
\(651\) −2.72534 4.74627i −0.00418639 0.00729073i
\(652\) 781.236 214.589i 1.19822 0.329124i
\(653\) −19.2754 109.316i −0.0295182 0.167406i 0.966485 0.256723i \(-0.0826428\pi\)
−0.996003 + 0.0893167i \(0.971532\pi\)
\(654\) −372.354 48.7282i −0.569348 0.0745080i
\(655\) −25.4248 + 30.3001i −0.0388165 + 0.0462597i
\(656\) −322.761 + 61.0929i −0.492014 + 0.0931294i
\(657\) 119.525 + 209.299i 0.181925 + 0.318567i
\(658\) 764.806 + 395.091i 1.16232 + 0.600443i
\(659\) −1084.88 191.294i −1.64626 0.290280i −0.727797 0.685792i \(-0.759456\pi\)
−0.918461 + 0.395512i \(0.870567\pi\)
\(660\) 17.6438 + 17.5064i 0.0267330 + 0.0265249i
\(661\) 471.148 + 171.484i 0.712781 + 0.259431i 0.672858 0.739772i \(-0.265067\pi\)
0.0399230 + 0.999203i \(0.487289\pi\)
\(662\) 238.461 + 1059.90i 0.360213 + 1.60105i
\(663\) −78.5538 + 65.5992i −0.118482 + 0.0989429i
\(664\) 30.8233 900.092i 0.0464206 1.35556i
\(665\) −7.58485 13.1373i −0.0114058 0.0197554i
\(666\) 529.267 687.493i 0.794695 1.03227i
\(667\) 235.934 + 136.217i 0.353724 + 0.204223i
\(668\) −255.778 539.661i −0.382901 0.807875i
\(669\) 116.938 + 20.9040i 0.174795 + 0.0312466i
\(670\) 16.7874 15.4799i 0.0250559 0.0231043i
\(671\) −508.735 606.287i −0.758175 0.903558i
\(672\) −319.968 + 1063.99i −0.476143 + 1.58331i
\(673\) −745.558 + 271.361i −1.10781 + 0.403211i −0.830190 0.557480i \(-0.811768\pi\)
−0.277622 + 0.960690i \(0.589546\pi\)
\(674\) −335.795 + 215.408i −0.498213 + 0.319596i
\(675\) −634.740 + 225.950i −0.940355 + 0.334740i
\(676\) 379.618 827.598i 0.561565 1.22426i
\(677\) −524.604 + 190.940i −0.774896 + 0.282039i −0.699043 0.715080i \(-0.746390\pi\)
−0.0758531 + 0.997119i \(0.524168\pi\)
\(678\) −34.7676 782.416i −0.0512797 1.15401i
\(679\) −182.991 218.080i −0.269501 0.321179i
\(680\) 2.79651 0.910730i 0.00411252 0.00133931i
\(681\) 380.018 + 1051.81i 0.558030 + 1.54451i
\(682\) −3.01775 0.387676i −0.00442485 0.000568440i
\(683\) 921.593 + 532.082i 1.34933 + 0.779037i 0.988155 0.153461i \(-0.0490419\pi\)
0.361176 + 0.932498i \(0.382375\pi\)
\(684\) 155.703 + 155.222i 0.227636 + 0.226933i
\(685\) −2.69562 4.66894i −0.00393520 0.00681597i
\(686\) −767.702 + 320.815i −1.11910 + 0.467660i
\(687\) 147.749 + 849.648i 0.215064 + 1.23675i
\(688\) −685.100 + 259.127i −0.995785 + 0.376639i
\(689\) −1843.02 670.803i −2.67491 0.973589i
\(690\) 29.8435 27.3890i 0.0432514 0.0396943i
\(691\) 135.724 + 23.9318i 0.196417 + 0.0346336i 0.270991 0.962582i \(-0.412649\pi\)
−0.0745742 + 0.997215i \(0.523760\pi\)
\(692\) −1245.09 + 116.800i −1.79927 + 0.168786i
\(693\) −169.883 990.780i −0.245141 1.42970i
\(694\) −62.1435 + 2.90840i −0.0895440 + 0.00419078i
\(695\) 1.20424 1.43516i 0.00173272 0.00206497i
\(696\) 97.2744 + 183.693i 0.139762 + 0.263926i
\(697\) −6.10685 34.6337i −0.00876163 0.0496897i
\(698\) 115.147 369.231i 0.164967 0.528984i
\(699\) 553.881 954.141i 0.792390 1.36501i
\(700\) 1151.43 + 93.4685i 1.64490 + 0.133526i
\(701\) 1148.72 1.63869 0.819347 0.573298i \(-0.194336\pi\)
0.819347 + 0.573298i \(0.194336\pi\)
\(702\) −909.288 + 574.248i −1.29528 + 0.818017i
\(703\) 294.373i 0.418738i
\(704\) 363.720 + 499.198i 0.516647 + 0.709088i
\(705\) 0.0565160 23.9450i 8.01645e−5 0.0339645i
\(706\) 157.006 503.454i 0.222387 0.713108i
\(707\) −538.930 + 95.0280i −0.762278 + 0.134410i
\(708\) 86.2468 124.203i 0.121817 0.175428i
\(709\) 166.685 + 139.866i 0.235099 + 0.197272i 0.752724 0.658336i \(-0.228739\pi\)
−0.517625 + 0.855608i \(0.673184\pi\)
\(710\) 32.4571 1.51904i 0.0457143 0.00213949i
\(711\) 1033.13 + 187.202i 1.45307 + 0.263294i
\(712\) 749.254 586.197i 1.05232 0.823310i
\(713\) −0.861030 + 4.88315i −0.00120762 + 0.00684873i
\(714\) −113.471 35.6807i −0.158923 0.0499729i
\(715\) 14.1084 38.7625i 0.0197320 0.0542133i
\(716\) 76.4265 + 75.4744i 0.106741 + 0.105411i
\(717\) 183.766 501.208i 0.256298 0.699035i
\(718\) −533.248 + 222.839i −0.742685 + 0.310361i
\(719\) −532.823 + 307.625i −0.741061 + 0.427852i −0.822455 0.568830i \(-0.807396\pi\)
0.0813939 + 0.996682i \(0.474063\pi\)
\(720\) 30.3931 5.60439i 0.0422126 0.00778387i
\(721\) 307.572 532.730i 0.426591 0.738877i
\(722\) 642.128 + 82.4913i 0.889374 + 0.114254i
\(723\) 799.611 + 674.175i 1.10596 + 0.932469i
\(724\) 1114.93 + 291.268i 1.53996 + 0.402304i
\(725\) 165.558 138.920i 0.228356 0.191613i
\(726\) 148.346 + 77.0784i 0.204334 + 0.106169i
\(727\) 263.701 + 724.511i 0.362724 + 0.996577i 0.978062 + 0.208313i \(0.0667974\pi\)
−0.615338 + 0.788264i \(0.710980\pi\)
\(728\) 1825.82 257.860i 2.50799 0.354203i
\(729\) 728.927 + 10.3233i 0.999900 + 0.0141609i
\(730\) −9.67560 + 6.20675i −0.0132542 + 0.00850240i
\(731\) −26.8203 73.6881i −0.0366898 0.100804i
\(732\) −980.023 + 89.6013i −1.33883 + 0.122406i
\(733\) −542.102 + 454.878i −0.739566 + 0.620570i −0.932721 0.360598i \(-0.882572\pi\)
0.193155 + 0.981168i \(0.438128\pi\)
\(734\) −661.426 + 609.910i −0.901125 + 0.830940i
\(735\) 41.8146 + 35.2552i 0.0568906 + 0.0479662i
\(736\) 840.371 554.077i 1.14181 0.752822i
\(737\) −256.704 + 444.625i −0.348310 + 0.603291i
\(738\) −15.5339 369.227i −0.0210487 0.500307i
\(739\) −328.811 + 189.839i −0.444940 + 0.256887i −0.705691 0.708520i \(-0.749363\pi\)
0.260751 + 0.965406i \(0.416030\pi\)
\(740\) 34.0447 + 23.5217i 0.0460064 + 0.0317861i
\(741\) 125.606 342.581i 0.169508 0.462323i
\(742\) −500.354 2223.94i −0.674332 2.99723i
\(743\) 410.605 1128.13i 0.552631 1.51834i −0.277473 0.960733i \(-0.589497\pi\)
0.830104 0.557608i \(-0.188281\pi\)
\(744\) −2.53617 + 2.80718i −0.00340883 + 0.00377309i
\(745\) 0.361755 2.05162i 0.000485578 0.00275385i
\(746\) 417.271 + 215.558i 0.559345 + 0.288952i
\(747\) 996.963 + 180.648i 1.33462 + 0.241831i
\(748\) −53.9275 + 38.2664i −0.0720956 + 0.0511583i
\(749\) −276.396 231.924i −0.369020 0.309644i
\(750\) −24.6629 59.4114i −0.0328839 0.0792152i
\(751\) 338.515 59.6894i 0.450753 0.0794799i 0.0563366 0.998412i \(-0.482058\pi\)
0.394416 + 0.918932i \(0.370947\pi\)
\(752\) 95.9726 587.243i 0.127623 0.780909i
\(753\) −0.906675 + 384.145i −0.00120408 + 0.510153i
\(754\) 209.144 274.338i 0.277380 0.363844i
\(755\) 20.1608i