Properties

Label 1110.2.ba.a.529.1
Level $1110$
Weight $2$
Character 1110.529
Analytic conductor $8.863$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 1110 = 2 \cdot 3 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1110.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(8.86339462436\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(18\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 529.1
Character \(\chi\) \(=\) 1110.529
Dual form 1110.2.ba.a.619.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 - 0.866025i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-1.83366 + 1.27972i) q^{5} +1.00000i q^{6} +(2.57051 + 1.48408i) q^{7} +1.00000 q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(-0.500000 - 0.866025i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-1.83366 + 1.27972i) q^{5} +1.00000i q^{6} +(2.57051 + 1.48408i) q^{7} +1.00000 q^{8} +(0.500000 + 0.866025i) q^{9} +(2.02510 + 0.948138i) q^{10} -6.26383 q^{11} +(0.866025 - 0.500000i) q^{12} +(-1.50604 + 2.60853i) q^{13} -2.96816i q^{14} +(2.22786 - 0.191439i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-0.790063 - 1.36843i) q^{17} +(0.500000 - 0.866025i) q^{18} +(1.22640 + 0.708065i) q^{19} +(-0.191439 - 2.22786i) q^{20} +(-1.48408 - 2.57051i) q^{21} +(3.13191 + 5.42463i) q^{22} +2.48256 q^{23} +(-0.866025 - 0.500000i) q^{24} +(1.72463 - 4.69315i) q^{25} +3.01207 q^{26} -1.00000i q^{27} +(-2.57051 + 1.48408i) q^{28} -7.54443i q^{29} +(-1.27972 - 1.83366i) q^{30} -7.23491i q^{31} +(-0.500000 + 0.866025i) q^{32} +(5.42463 + 3.13191i) q^{33} +(-0.790063 + 1.36843i) q^{34} +(-6.61265 + 0.568222i) q^{35} -1.00000 q^{36} +(4.55074 + 4.03618i) q^{37} -1.41613i q^{38} +(2.60853 - 1.50604i) q^{39} +(-1.83366 + 1.27972i) q^{40} +(2.98646 - 5.17270i) q^{41} +(-1.48408 + 2.57051i) q^{42} +0.168736 q^{43} +(3.13191 - 5.42463i) q^{44} +(-2.02510 - 0.948138i) q^{45} +(-1.24128 - 2.14996i) q^{46} -3.32457i q^{47} +1.00000i q^{48} +(0.905002 + 1.56751i) q^{49} +(-4.92670 + 0.852997i) q^{50} +1.58013i q^{51} +(-1.50604 - 2.60853i) q^{52} +(0.224349 - 0.129528i) q^{53} +(-0.866025 + 0.500000i) q^{54} +(11.4857 - 8.01594i) q^{55} +(2.57051 + 1.48408i) q^{56} +(-0.708065 - 1.22640i) q^{57} +(-6.53367 + 3.77222i) q^{58} +(-3.62814 + 2.09471i) q^{59} +(-0.948138 + 2.02510i) q^{60} +(-8.53298 - 4.92652i) q^{61} +(-6.26562 + 3.61746i) q^{62} +2.96816i q^{63} +1.00000 q^{64} +(-0.576628 - 6.71047i) q^{65} -6.26383i q^{66} +(-12.1887 - 7.03717i) q^{67} +1.58013 q^{68} +(-2.14996 - 1.24128i) q^{69} +(3.79842 + 5.44261i) q^{70} +(-3.03888 + 5.26349i) q^{71} +(0.500000 + 0.866025i) q^{72} -6.77606i q^{73} +(1.22007 - 5.95915i) q^{74} +(-3.84015 + 3.20207i) q^{75} +(-1.22640 + 0.708065i) q^{76} +(-16.1012 - 9.29603i) q^{77} +(-2.60853 - 1.50604i) q^{78} +(-2.15482 - 1.24409i) q^{79} +(2.02510 + 0.948138i) q^{80} +(-0.500000 + 0.866025i) q^{81} -5.97292 q^{82} +(7.43197 - 4.29085i) q^{83} +2.96816 q^{84} +(3.19992 + 1.49818i) q^{85} +(-0.0843682 - 0.146130i) q^{86} +(-3.77222 + 6.53367i) q^{87} -6.26383 q^{88} +(-10.6609 + 6.15507i) q^{89} +(0.191439 + 2.22786i) q^{90} +(-7.74255 + 4.47016i) q^{91} +(-1.24128 + 2.14996i) q^{92} +(-3.61746 + 6.26562i) q^{93} +(-2.87916 + 1.66228i) q^{94} +(-3.15494 + 0.271102i) q^{95} +(0.866025 - 0.500000i) q^{96} -2.84049 q^{97} +(0.905002 - 1.56751i) q^{98} +(-3.13191 - 5.42463i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 18q^{2} - 18q^{4} + 2q^{5} + 36q^{8} + 18q^{9} + O(q^{10}) \) \( 36q - 18q^{2} - 18q^{4} + 2q^{5} + 36q^{8} + 18q^{9} + 2q^{10} + 4q^{11} - 14q^{13} - 2q^{15} - 18q^{16} + 18q^{18} + 6q^{19} - 4q^{20} - 2q^{22} - 20q^{23} + 4q^{25} + 28q^{26} - 2q^{30} - 18q^{32} - 6q^{33} - 40q^{35} - 36q^{36} + 20q^{37} + 6q^{39} + 2q^{40} + 10q^{41} - 2q^{44} - 2q^{45} + 10q^{46} + 10q^{49} - 2q^{50} - 14q^{52} - 12q^{53} + 56q^{55} + 8q^{57} + 30q^{58} + 18q^{59} + 4q^{60} - 6q^{61} - 12q^{62} + 36q^{64} + 40q^{65} + 36q^{67} + 12q^{69} + 20q^{70} - 24q^{71} + 18q^{72} - 34q^{74} + 8q^{75} - 6q^{76} - 24q^{77} - 6q^{78} + 2q^{80} - 18q^{81} - 20q^{82} + 36q^{83} + 26q^{85} - 10q^{87} + 4q^{88} + 4q^{90} - 36q^{91} + 10q^{92} + 12q^{93} + 12q^{94} - 30q^{95} + 52q^{97} + 10q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1110\mathbb{Z}\right)^\times\).

\(n\) \(371\) \(631\) \(667\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 0.866025i −0.353553 0.612372i
\(3\) −0.866025 0.500000i −0.500000 0.288675i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −1.83366 + 1.27972i −0.820039 + 0.572308i
\(6\) 1.00000i 0.408248i
\(7\) 2.57051 + 1.48408i 0.971560 + 0.560930i 0.899711 0.436485i \(-0.143777\pi\)
0.0718486 + 0.997416i \(0.477110\pi\)
\(8\) 1.00000 0.353553
\(9\) 0.500000 + 0.866025i 0.166667 + 0.288675i
\(10\) 2.02510 + 0.948138i 0.640393 + 0.299828i
\(11\) −6.26383 −1.88861 −0.944307 0.329065i \(-0.893267\pi\)
−0.944307 + 0.329065i \(0.893267\pi\)
\(12\) 0.866025 0.500000i 0.250000 0.144338i
\(13\) −1.50604 + 2.60853i −0.417699 + 0.723476i −0.995708 0.0925545i \(-0.970497\pi\)
0.578008 + 0.816031i \(0.303830\pi\)
\(14\) 2.96816i 0.793275i
\(15\) 2.22786 0.191439i 0.575230 0.0494293i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −0.790063 1.36843i −0.191619 0.331893i 0.754168 0.656681i \(-0.228040\pi\)
−0.945787 + 0.324788i \(0.894707\pi\)
\(18\) 0.500000 0.866025i 0.117851 0.204124i
\(19\) 1.22640 + 0.708065i 0.281356 + 0.162441i 0.634037 0.773302i \(-0.281397\pi\)
−0.352681 + 0.935744i \(0.614730\pi\)
\(20\) −0.191439 2.22786i −0.0428070 0.498164i
\(21\) −1.48408 2.57051i −0.323853 0.560930i
\(22\) 3.13191 + 5.42463i 0.667726 + 1.15654i
\(23\) 2.48256 0.517650 0.258825 0.965924i \(-0.416665\pi\)
0.258825 + 0.965924i \(0.416665\pi\)
\(24\) −0.866025 0.500000i −0.176777 0.102062i
\(25\) 1.72463 4.69315i 0.344927 0.938630i
\(26\) 3.01207 0.590716
\(27\) 1.00000i 0.192450i
\(28\) −2.57051 + 1.48408i −0.485780 + 0.280465i
\(29\) 7.54443i 1.40097i −0.713669 0.700483i \(-0.752968\pi\)
0.713669 0.700483i \(-0.247032\pi\)
\(30\) −1.27972 1.83366i −0.233644 0.334779i
\(31\) 7.23491i 1.29943i −0.760179 0.649714i \(-0.774889\pi\)
0.760179 0.649714i \(-0.225111\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) 5.42463 + 3.13191i 0.944307 + 0.545196i
\(34\) −0.790063 + 1.36843i −0.135495 + 0.234684i
\(35\) −6.61265 + 0.568222i −1.11774 + 0.0960471i
\(36\) −1.00000 −0.166667
\(37\) 4.55074 + 4.03618i 0.748137 + 0.663545i
\(38\) 1.41613i 0.229727i
\(39\) 2.60853 1.50604i 0.417699 0.241159i
\(40\) −1.83366 + 1.27972i −0.289927 + 0.202341i
\(41\) 2.98646 5.17270i 0.466407 0.807841i −0.532857 0.846205i \(-0.678882\pi\)
0.999264 + 0.0383648i \(0.0122149\pi\)
\(42\) −1.48408 + 2.57051i −0.228999 + 0.396638i
\(43\) 0.168736 0.0257321 0.0128660 0.999917i \(-0.495905\pi\)
0.0128660 + 0.999917i \(0.495905\pi\)
\(44\) 3.13191 5.42463i 0.472154 0.817794i
\(45\) −2.02510 0.948138i −0.301884 0.141340i
\(46\) −1.24128 2.14996i −0.183017 0.316994i
\(47\) 3.32457i 0.484938i −0.970159 0.242469i \(-0.922043\pi\)
0.970159 0.242469i \(-0.0779572\pi\)
\(48\) 1.00000i 0.144338i
\(49\) 0.905002 + 1.56751i 0.129286 + 0.223930i
\(50\) −4.92670 + 0.852997i −0.696741 + 0.120632i
\(51\) 1.58013i 0.221262i
\(52\) −1.50604 2.60853i −0.208850 0.361738i
\(53\) 0.224349 0.129528i 0.0308167 0.0177920i −0.484513 0.874784i \(-0.661003\pi\)
0.515329 + 0.856992i \(0.327670\pi\)
\(54\) −0.866025 + 0.500000i −0.117851 + 0.0680414i
\(55\) 11.4857 8.01594i 1.54874 1.08087i
\(56\) 2.57051 + 1.48408i 0.343498 + 0.198319i
\(57\) −0.708065 1.22640i −0.0937855 0.162441i
\(58\) −6.53367 + 3.77222i −0.857913 + 0.495316i
\(59\) −3.62814 + 2.09471i −0.472343 + 0.272707i −0.717220 0.696847i \(-0.754586\pi\)
0.244877 + 0.969554i \(0.421252\pi\)
\(60\) −0.948138 + 2.02510i −0.122404 + 0.261439i
\(61\) −8.53298 4.92652i −1.09254 0.630776i −0.158286 0.987393i \(-0.550597\pi\)
−0.934251 + 0.356617i \(0.883930\pi\)
\(62\) −6.26562 + 3.61746i −0.795734 + 0.459417i
\(63\) 2.96816i 0.373954i
\(64\) 1.00000 0.125000
\(65\) −0.576628 6.71047i −0.0715219 0.832331i
\(66\) 6.26383i 0.771024i
\(67\) −12.1887 7.03717i −1.48909 0.859727i −0.489168 0.872190i \(-0.662700\pi\)
−0.999922 + 0.0124627i \(0.996033\pi\)
\(68\) 1.58013 0.191619
\(69\) −2.14996 1.24128i −0.258825 0.149433i
\(70\) 3.79842 + 5.44261i 0.453998 + 0.650517i
\(71\) −3.03888 + 5.26349i −0.360648 + 0.624661i −0.988068 0.154021i \(-0.950778\pi\)
0.627419 + 0.778681i \(0.284111\pi\)
\(72\) 0.500000 + 0.866025i 0.0589256 + 0.102062i
\(73\) 6.77606i 0.793077i −0.918018 0.396539i \(-0.870211\pi\)
0.918018 0.396539i \(-0.129789\pi\)
\(74\) 1.22007 5.95915i 0.141830 0.692737i
\(75\) −3.84015 + 3.20207i −0.443422 + 0.369743i
\(76\) −1.22640 + 0.708065i −0.140678 + 0.0812206i
\(77\) −16.1012 9.29603i −1.83490 1.05938i
\(78\) −2.60853 1.50604i −0.295358 0.170525i
\(79\) −2.15482 1.24409i −0.242436 0.139971i 0.373860 0.927485i \(-0.378034\pi\)
−0.616296 + 0.787515i \(0.711368\pi\)
\(80\) 2.02510 + 0.948138i 0.226413 + 0.106005i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) −5.97292 −0.659599
\(83\) 7.43197 4.29085i 0.815765 0.470982i −0.0331890 0.999449i \(-0.510566\pi\)
0.848954 + 0.528467i \(0.177233\pi\)
\(84\) 2.96816 0.323853
\(85\) 3.19992 + 1.49818i 0.347080 + 0.162500i
\(86\) −0.0843682 0.146130i −0.00909766 0.0157576i
\(87\) −3.77222 + 6.53367i −0.404424 + 0.700483i
\(88\) −6.26383 −0.667726
\(89\) −10.6609 + 6.15507i −1.13005 + 0.652436i −0.943948 0.330094i \(-0.892920\pi\)
−0.186104 + 0.982530i \(0.559586\pi\)
\(90\) 0.191439 + 2.22786i 0.0201794 + 0.234837i
\(91\) −7.74255 + 4.47016i −0.811640 + 0.468600i
\(92\) −1.24128 + 2.14996i −0.129412 + 0.224149i
\(93\) −3.61746 + 6.26562i −0.375113 + 0.649714i
\(94\) −2.87916 + 1.66228i −0.296963 + 0.171451i
\(95\) −3.15494 + 0.271102i −0.323690 + 0.0278145i
\(96\) 0.866025 0.500000i 0.0883883 0.0510310i
\(97\) −2.84049 −0.288408 −0.144204 0.989548i \(-0.546062\pi\)
−0.144204 + 0.989548i \(0.546062\pi\)
\(98\) 0.905002 1.56751i 0.0914190 0.158342i
\(99\) −3.13191 5.42463i −0.314769 0.545196i
\(100\) 3.20207 + 3.84015i 0.320207 + 0.384015i
\(101\) 9.41930 0.937256 0.468628 0.883396i \(-0.344749\pi\)
0.468628 + 0.883396i \(0.344749\pi\)
\(102\) 1.36843 0.790063i 0.135495 0.0782279i
\(103\) 7.62088 0.750908 0.375454 0.926841i \(-0.377487\pi\)
0.375454 + 0.926841i \(0.377487\pi\)
\(104\) −1.50604 + 2.60853i −0.147679 + 0.255788i
\(105\) 6.01083 + 2.81423i 0.586597 + 0.274641i
\(106\) −0.224349 0.129528i −0.0217907 0.0125809i
\(107\) −14.1039 8.14287i −1.36347 0.787201i −0.373388 0.927675i \(-0.621804\pi\)
−0.990084 + 0.140474i \(0.955137\pi\)
\(108\) 0.866025 + 0.500000i 0.0833333 + 0.0481125i
\(109\) 17.7175 10.2292i 1.69703 0.979779i 0.748473 0.663166i \(-0.230787\pi\)
0.948555 0.316614i \(-0.102546\pi\)
\(110\) −12.6849 5.93897i −1.20946 0.566259i
\(111\) −1.92296 5.77081i −0.182519 0.547741i
\(112\) 2.96816i 0.280465i
\(113\) 5.12360 + 8.87433i 0.481988 + 0.834827i 0.999786 0.0206756i \(-0.00658172\pi\)
−0.517799 + 0.855502i \(0.673248\pi\)
\(114\) −0.708065 + 1.22640i −0.0663164 + 0.114863i
\(115\) −4.55218 + 3.17698i −0.424493 + 0.296255i
\(116\) 6.53367 + 3.77222i 0.606636 + 0.350241i
\(117\) −3.01207 −0.278466
\(118\) 3.62814 + 2.09471i 0.333997 + 0.192833i
\(119\) 4.69008i 0.429939i
\(120\) 2.22786 0.191439i 0.203375 0.0174759i
\(121\) 28.2355 2.56687
\(122\) 9.85304i 0.892052i
\(123\) −5.17270 + 2.98646i −0.466407 + 0.269280i
\(124\) 6.26562 + 3.61746i 0.562669 + 0.324857i
\(125\) 2.84352 + 10.8127i 0.254332 + 0.967117i
\(126\) 2.57051 1.48408i 0.228999 0.132213i
\(127\) −13.6437 + 7.87719i −1.21068 + 0.698988i −0.962908 0.269830i \(-0.913033\pi\)
−0.247775 + 0.968818i \(0.579699\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) −0.146130 0.0843682i −0.0128660 0.00742820i
\(130\) −5.52312 + 3.85461i −0.484410 + 0.338072i
\(131\) −2.88557 + 1.66599i −0.252114 + 0.145558i −0.620732 0.784023i \(-0.713164\pi\)
0.368618 + 0.929581i \(0.379831\pi\)
\(132\) −5.42463 + 3.13191i −0.472154 + 0.272598i
\(133\) 2.10165 + 3.64017i 0.182236 + 0.315643i
\(134\) 14.0743i 1.21584i
\(135\) 1.27972 + 1.83366i 0.110141 + 0.157817i
\(136\) −0.790063 1.36843i −0.0677474 0.117342i
\(137\) 18.5410i 1.58406i −0.610481 0.792031i \(-0.709024\pi\)
0.610481 0.792031i \(-0.290976\pi\)
\(138\) 2.48256i 0.211330i
\(139\) 4.80867 + 8.32886i 0.407866 + 0.706445i 0.994650 0.103298i \(-0.0329397\pi\)
−0.586784 + 0.809743i \(0.699606\pi\)
\(140\) 2.81423 6.01083i 0.237846 0.508008i
\(141\) −1.66228 + 2.87916i −0.139989 + 0.242469i
\(142\) 6.07775 0.510034
\(143\) 9.43355 16.3394i 0.788873 1.36637i
\(144\) 0.500000 0.866025i 0.0416667 0.0721688i
\(145\) 9.65476 + 13.8339i 0.801784 + 1.14885i
\(146\) −5.86824 + 3.38803i −0.485659 + 0.280395i
\(147\) 1.81000i 0.149287i
\(148\) −5.77081 + 1.92296i −0.474357 + 0.158066i
\(149\) −12.6411 −1.03560 −0.517800 0.855501i \(-0.673249\pi\)
−0.517800 + 0.855501i \(0.673249\pi\)
\(150\) 4.69315 + 1.72463i 0.383194 + 0.140816i
\(151\) 1.29954 2.25088i 0.105755 0.183174i −0.808291 0.588783i \(-0.799607\pi\)
0.914047 + 0.405609i \(0.132941\pi\)
\(152\) 1.22640 + 0.708065i 0.0994745 + 0.0574316i
\(153\) 0.790063 1.36843i 0.0638728 0.110631i
\(154\) 18.5921i 1.49819i
\(155\) 9.25866 + 13.2664i 0.743673 + 1.06558i
\(156\) 3.01207i 0.241159i
\(157\) −13.0579 + 7.53899i −1.04214 + 0.601677i −0.920437 0.390890i \(-0.872167\pi\)
−0.121698 + 0.992567i \(0.538834\pi\)
\(158\) 2.48817i 0.197949i
\(159\) −0.259056 −0.0205445
\(160\) −0.191439 2.22786i −0.0151346 0.176128i
\(161\) 6.38144 + 3.68432i 0.502928 + 0.290365i
\(162\) 1.00000 0.0785674
\(163\) 3.83470 + 6.64189i 0.300357 + 0.520233i 0.976217 0.216797i \(-0.0695609\pi\)
−0.675860 + 0.737030i \(0.736228\pi\)
\(164\) 2.98646 + 5.17270i 0.233203 + 0.403920i
\(165\) −13.9549 + 1.19914i −1.08639 + 0.0933529i
\(166\) −7.43197 4.29085i −0.576833 0.333035i
\(167\) 4.05425 7.02216i 0.313727 0.543391i −0.665439 0.746452i \(-0.731756\pi\)
0.979166 + 0.203061i \(0.0650890\pi\)
\(168\) −1.48408 2.57051i −0.114499 0.198319i
\(169\) 1.96371 + 3.40125i 0.151055 + 0.261634i
\(170\) −0.302498 3.52030i −0.0232005 0.269995i
\(171\) 1.41613i 0.108294i
\(172\) −0.0843682 + 0.146130i −0.00643301 + 0.0111423i
\(173\) 10.3502 5.97567i 0.786908 0.454322i −0.0519646 0.998649i \(-0.516548\pi\)
0.838873 + 0.544327i \(0.183215\pi\)
\(174\) 7.54443 0.571942
\(175\) 11.3982 9.50427i 0.861623 0.718455i
\(176\) 3.13191 + 5.42463i 0.236077 + 0.408897i
\(177\) 4.18941 0.314895
\(178\) 10.6609 + 6.15507i 0.799068 + 0.461342i
\(179\) 12.3788i 0.925237i −0.886557 0.462619i \(-0.846910\pi\)
0.886557 0.462619i \(-0.153090\pi\)
\(180\) 1.83366 1.27972i 0.136673 0.0953847i
\(181\) 8.22148 14.2400i 0.611098 1.05845i −0.379958 0.925004i \(-0.624061\pi\)
0.991056 0.133449i \(-0.0426053\pi\)
\(182\) 7.74255 + 4.47016i 0.573916 + 0.331351i
\(183\) 4.92652 + 8.53298i 0.364179 + 0.630776i
\(184\) 2.48256 0.183017
\(185\) −13.5097 1.57733i −0.993253 0.115968i
\(186\) 7.23491 0.530489
\(187\) 4.94882 + 8.57161i 0.361894 + 0.626818i
\(188\) 2.87916 + 1.66228i 0.209984 + 0.121234i
\(189\) 1.48408 2.57051i 0.107951 0.186977i
\(190\) 1.81225 + 2.59670i 0.131474 + 0.188385i
\(191\) 21.9231i 1.58630i −0.609025 0.793151i \(-0.708439\pi\)
0.609025 0.793151i \(-0.291561\pi\)
\(192\) −0.866025 0.500000i −0.0625000 0.0360844i
\(193\) −16.1168 −1.16011 −0.580055 0.814577i \(-0.696969\pi\)
−0.580055 + 0.814577i \(0.696969\pi\)
\(194\) 1.42025 + 2.45994i 0.101968 + 0.176613i
\(195\) −2.85586 + 6.09975i −0.204512 + 0.436812i
\(196\) −1.81000 −0.129286
\(197\) 4.96458 2.86630i 0.353712 0.204216i −0.312607 0.949883i \(-0.601202\pi\)
0.666319 + 0.745667i \(0.267869\pi\)
\(198\) −3.13191 + 5.42463i −0.222575 + 0.385512i
\(199\) 26.3301i 1.86649i −0.359242 0.933244i \(-0.616965\pi\)
0.359242 0.933244i \(-0.383035\pi\)
\(200\) 1.72463 4.69315i 0.121950 0.331856i
\(201\) 7.03717 + 12.1887i 0.496363 + 0.859727i
\(202\) −4.70965 8.15736i −0.331370 0.573950i
\(203\) 11.1966 19.3930i 0.785844 1.36112i
\(204\) −1.36843 0.790063i −0.0958093 0.0553155i
\(205\) 1.14345 + 13.3068i 0.0798620 + 0.929389i
\(206\) −3.81044 6.59988i −0.265486 0.459835i
\(207\) 1.24128 + 2.14996i 0.0862749 + 0.149433i
\(208\) 3.01207 0.208850
\(209\) −7.68198 4.43520i −0.531374 0.306789i
\(210\) −0.568222 6.61265i −0.0392111 0.456316i
\(211\) −18.7965 −1.29400 −0.647002 0.762488i \(-0.723978\pi\)
−0.647002 + 0.762488i \(0.723978\pi\)
\(212\) 0.259056i 0.0177920i
\(213\) 5.26349 3.03888i 0.360648 0.208220i
\(214\) 16.2857i 1.11327i
\(215\) −0.309405 + 0.215935i −0.0211013 + 0.0147267i
\(216\) 1.00000i 0.0680414i
\(217\) 10.7372 18.5974i 0.728889 1.26247i
\(218\) −17.7175 10.2292i −1.19998 0.692809i
\(219\) −3.38803 + 5.86824i −0.228942 + 0.396539i
\(220\) 1.19914 + 13.9549i 0.0808460 + 0.940840i
\(221\) 4.75946 0.320156
\(222\) −4.03618 + 4.55074i −0.270891 + 0.305425i
\(223\) 25.7573i 1.72483i −0.506199 0.862417i \(-0.668950\pi\)
0.506199 0.862417i \(-0.331050\pi\)
\(224\) −2.57051 + 1.48408i −0.171749 + 0.0991594i
\(225\) 4.92670 0.852997i 0.328447 0.0568665i
\(226\) 5.12360 8.87433i 0.340817 0.590312i
\(227\) −6.45977 + 11.1887i −0.428750 + 0.742617i −0.996762 0.0804031i \(-0.974379\pi\)
0.568012 + 0.823020i \(0.307713\pi\)
\(228\) 1.41613 0.0937855
\(229\) −8.72881 + 15.1187i −0.576816 + 0.999075i 0.419026 + 0.907974i \(0.362372\pi\)
−0.995842 + 0.0911002i \(0.970962\pi\)
\(230\) 5.02743 + 2.35381i 0.331499 + 0.155206i
\(231\) 9.29603 + 16.1012i 0.611634 + 1.05938i
\(232\) 7.54443i 0.495316i
\(233\) 9.00632i 0.590024i 0.955494 + 0.295012i \(0.0953236\pi\)
−0.955494 + 0.295012i \(0.904676\pi\)
\(234\) 1.50604 + 2.60853i 0.0984527 + 0.170525i
\(235\) 4.25451 + 6.09613i 0.277534 + 0.397668i
\(236\) 4.18941i 0.272707i
\(237\) 1.24409 + 2.15482i 0.0808121 + 0.139971i
\(238\) −4.06173 + 2.34504i −0.263283 + 0.152006i
\(239\) −14.4833 + 8.36195i −0.936848 + 0.540889i −0.888971 0.457964i \(-0.848579\pi\)
−0.0478771 + 0.998853i \(0.515246\pi\)
\(240\) −1.27972 1.83366i −0.0826056 0.118362i
\(241\) 15.6125 + 9.01387i 1.00569 + 0.580634i 0.909926 0.414770i \(-0.136138\pi\)
0.0957620 + 0.995404i \(0.469471\pi\)
\(242\) −14.1178 24.4527i −0.907524 1.57188i
\(243\) 0.866025 0.500000i 0.0555556 0.0320750i
\(244\) 8.53298 4.92652i 0.546268 0.315388i
\(245\) −3.66544 1.71613i −0.234176 0.109640i
\(246\) 5.17270 + 2.98646i 0.329800 + 0.190410i
\(247\) −3.69402 + 2.13274i −0.235045 + 0.135703i
\(248\) 7.23491i 0.459417i
\(249\) −8.58170 −0.543843
\(250\) 7.94231 7.86891i 0.502316 0.497673i
\(251\) 11.1889i 0.706234i −0.935579 0.353117i \(-0.885122\pi\)
0.935579 0.353117i \(-0.114878\pi\)
\(252\) −2.57051 1.48408i −0.161927 0.0934884i
\(253\) −15.5503 −0.977640
\(254\) 13.6437 + 7.87719i 0.856082 + 0.494259i
\(255\) −2.02212 2.89742i −0.126630 0.181443i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 7.59009 + 13.1464i 0.473457 + 0.820052i 0.999538 0.0303827i \(-0.00967261\pi\)
−0.526081 + 0.850434i \(0.676339\pi\)
\(258\) 0.168736i 0.0105051i
\(259\) 5.70767 + 17.1287i 0.354657 + 1.06433i
\(260\) 6.09975 + 2.85586i 0.378290 + 0.177113i
\(261\) 6.53367 3.77222i 0.404424 0.233494i
\(262\) 2.88557 + 1.66599i 0.178271 + 0.102925i
\(263\) 15.1450 + 8.74396i 0.933879 + 0.539176i 0.888036 0.459773i \(-0.152069\pi\)
0.0458430 + 0.998949i \(0.485403\pi\)
\(264\) 5.42463 + 3.13191i 0.333863 + 0.192756i
\(265\) −0.245621 + 0.524614i −0.0150884 + 0.0322268i
\(266\) 2.10165 3.64017i 0.128861 0.223193i
\(267\) 12.3101 0.753368
\(268\) 12.1887 7.03717i 0.744545 0.429863i
\(269\) 20.3177 1.23879 0.619395 0.785079i \(-0.287378\pi\)
0.619395 + 0.785079i \(0.287378\pi\)
\(270\) 0.948138 2.02510i 0.0577018 0.123244i
\(271\) 0.833496 + 1.44366i 0.0506313 + 0.0876959i 0.890230 0.455511i \(-0.150543\pi\)
−0.839599 + 0.543207i \(0.817210\pi\)
\(272\) −0.790063 + 1.36843i −0.0479046 + 0.0829733i
\(273\) 8.94033 0.541093
\(274\) −16.0570 + 9.27049i −0.970036 + 0.560051i
\(275\) −10.8028 + 29.3971i −0.651434 + 1.77271i
\(276\) 2.14996 1.24128i 0.129412 0.0747163i
\(277\) −0.338790 + 0.586802i −0.0203559 + 0.0352575i −0.876024 0.482268i \(-0.839813\pi\)
0.855668 + 0.517525i \(0.173147\pi\)
\(278\) 4.80867 8.32886i 0.288405 0.499532i
\(279\) 6.26562 3.61746i 0.375113 0.216571i
\(280\) −6.61265 + 0.568222i −0.395181 + 0.0339578i
\(281\) −6.56367 + 3.78954i −0.391556 + 0.226065i −0.682834 0.730574i \(-0.739253\pi\)
0.291278 + 0.956638i \(0.405919\pi\)
\(282\) 3.32457 0.197975
\(283\) −4.41293 + 7.64343i −0.262322 + 0.454354i −0.966858 0.255313i \(-0.917821\pi\)
0.704537 + 0.709667i \(0.251155\pi\)
\(284\) −3.03888 5.26349i −0.180324 0.312330i
\(285\) 2.86781 + 1.34269i 0.169874 + 0.0795339i
\(286\) −18.8671 −1.11563
\(287\) 15.3534 8.86431i 0.906285 0.523244i
\(288\) −1.00000 −0.0589256
\(289\) 7.25160 12.5601i 0.426565 0.738832i
\(290\) 7.15316 15.2782i 0.420048 0.897169i
\(291\) 2.45994 + 1.42025i 0.144204 + 0.0832563i
\(292\) 5.86824 + 3.38803i 0.343413 + 0.198269i
\(293\) 3.38540 + 1.95456i 0.197777 + 0.114187i 0.595618 0.803268i \(-0.296907\pi\)
−0.397841 + 0.917454i \(0.630240\pi\)
\(294\) −1.56751 + 0.905002i −0.0914190 + 0.0527808i
\(295\) 3.97214 8.48398i 0.231267 0.493957i
\(296\) 4.55074 + 4.03618i 0.264506 + 0.234598i
\(297\) 6.26383i 0.363464i
\(298\) 6.32056 + 10.9475i 0.366140 + 0.634173i
\(299\) −3.73882 + 6.47583i −0.216222 + 0.374507i
\(300\) −0.852997 4.92670i −0.0492478 0.284443i
\(301\) 0.433738 + 0.250419i 0.0250002 + 0.0144339i
\(302\) −2.59909 −0.149561
\(303\) −8.15736 4.70965i −0.468628 0.270562i
\(304\) 1.41613i 0.0812206i
\(305\) 21.9512 1.88626i 1.25692 0.108007i
\(306\) −1.58013 −0.0903298
\(307\) 3.33162i 0.190146i 0.995470 + 0.0950728i \(0.0303084\pi\)
−0.995470 + 0.0950728i \(0.969692\pi\)
\(308\) 16.1012 9.29603i 0.917451 0.529691i
\(309\) −6.59988 3.81044i −0.375454 0.216768i
\(310\) 6.85969 14.6514i 0.389604 0.832145i
\(311\) −9.88071 + 5.70463i −0.560284 + 0.323480i −0.753259 0.657724i \(-0.771520\pi\)
0.192976 + 0.981204i \(0.438186\pi\)
\(312\) 2.60853 1.50604i 0.147679 0.0852625i
\(313\) 16.6242 + 28.7939i 0.939653 + 1.62753i 0.766119 + 0.642699i \(0.222185\pi\)
0.173534 + 0.984828i \(0.444481\pi\)
\(314\) 13.0579 + 7.53899i 0.736901 + 0.425450i
\(315\) −3.79842 5.44261i −0.214017 0.306656i
\(316\) 2.15482 1.24409i 0.121218 0.0699854i
\(317\) −14.8439 + 8.57012i −0.833716 + 0.481346i −0.855123 0.518425i \(-0.826519\pi\)
0.0214076 + 0.999771i \(0.493185\pi\)
\(318\) 0.129528 + 0.224349i 0.00726356 + 0.0125809i
\(319\) 47.2570i 2.64588i
\(320\) −1.83366 + 1.27972i −0.102505 + 0.0715385i
\(321\) 8.14287 + 14.1039i 0.454491 + 0.787201i
\(322\) 7.36865i 0.410639i
\(323\) 2.23766i 0.124507i
\(324\) −0.500000 0.866025i −0.0277778 0.0481125i
\(325\) 9.64486 + 11.5668i 0.535001 + 0.641611i
\(326\) 3.83470 6.64189i 0.212384 0.367860i
\(327\) −20.4584 −1.13135
\(328\) 2.98646 5.17270i 0.164900 0.285615i
\(329\) 4.93393 8.54582i 0.272016 0.471146i
\(330\) 8.01594 + 11.4857i 0.441263 + 0.632269i
\(331\) −11.0933 + 6.40472i −0.609743 + 0.352035i −0.772865 0.634571i \(-0.781177\pi\)
0.163122 + 0.986606i \(0.447844\pi\)
\(332\) 8.58170i 0.470982i
\(333\) −1.22007 + 5.95915i −0.0668594 + 0.326559i
\(334\) −8.10849 −0.443677
\(335\) 31.3556 2.69438i 1.71314 0.147209i
\(336\) −1.48408 + 2.57051i −0.0809633 + 0.140233i
\(337\) 19.3464 + 11.1697i 1.05387 + 0.608450i 0.923729 0.383046i \(-0.125125\pi\)
0.130137 + 0.991496i \(0.458458\pi\)
\(338\) 1.96371 3.40125i 0.106812 0.185003i
\(339\) 10.2472i 0.556551i
\(340\) −2.89742 + 2.02212i −0.157135 + 0.109665i
\(341\) 45.3182i 2.45412i
\(342\) 1.22640 0.708065i 0.0663164 0.0382878i
\(343\) 15.4048i 0.831779i
\(344\) 0.168736 0.00909766
\(345\) 5.53079 0.475259i 0.297768 0.0255871i
\(346\) −10.3502 5.97567i −0.556428 0.321254i
\(347\) −20.7908 −1.11611 −0.558055 0.829804i \(-0.688452\pi\)
−0.558055 + 0.829804i \(0.688452\pi\)
\(348\) −3.77222 6.53367i −0.202212 0.350241i
\(349\) −16.7072 28.9376i −0.894313 1.54900i −0.834652 0.550778i \(-0.814331\pi\)
−0.0596613 0.998219i \(-0.519002\pi\)
\(350\) −13.9300 5.11900i −0.744592 0.273622i
\(351\) 2.60853 + 1.50604i 0.139233 + 0.0803863i
\(352\) 3.13191 5.42463i 0.166932 0.289134i
\(353\) 4.65698 + 8.06613i 0.247866 + 0.429317i 0.962934 0.269739i \(-0.0869374\pi\)
−0.715067 + 0.699056i \(0.753604\pi\)
\(354\) −2.09471 3.62814i −0.111332 0.192833i
\(355\) −1.16352 13.5404i −0.0617531 0.718648i
\(356\) 12.3101i 0.652436i
\(357\) −2.34504 + 4.06173i −0.124113 + 0.214969i
\(358\) −10.7204 + 6.18942i −0.566590 + 0.327121i
\(359\) −8.84677 −0.466915 −0.233457 0.972367i \(-0.575004\pi\)
−0.233457 + 0.972367i \(0.575004\pi\)
\(360\) −2.02510 0.948138i −0.106732 0.0499713i
\(361\) −8.49729 14.7177i −0.447226 0.774618i
\(362\) −16.4430 −0.864223
\(363\) −24.4527 14.1178i −1.28343 0.740990i
\(364\) 8.94033i 0.468600i
\(365\) 8.67145 + 12.4250i 0.453885 + 0.650354i
\(366\) 4.92652 8.53298i 0.257513 0.446026i
\(367\) −16.4851 9.51770i −0.860518 0.496820i 0.00366800 0.999993i \(-0.498832\pi\)
−0.864186 + 0.503173i \(0.832166\pi\)
\(368\) −1.24128 2.14996i −0.0647062 0.112074i
\(369\) 5.97292 0.310938
\(370\) 5.38884 + 12.4884i 0.280153 + 0.649241i
\(371\) 0.768920 0.0399203
\(372\) −3.61746 6.26562i −0.187556 0.324857i
\(373\) −8.65720 4.99823i −0.448253 0.258799i 0.258839 0.965920i \(-0.416660\pi\)
−0.707092 + 0.707122i \(0.749993\pi\)
\(374\) 4.94882 8.57161i 0.255897 0.443227i
\(375\) 2.94379 10.7858i 0.152017 0.556978i
\(376\) 3.32457i 0.171451i
\(377\) 19.6799 + 11.3622i 1.01357 + 0.585182i
\(378\) −2.96816 −0.152666
\(379\) −14.8869 25.7849i −0.764689 1.32448i −0.940411 0.340041i \(-0.889559\pi\)
0.175722 0.984440i \(-0.443774\pi\)
\(380\) 1.34269 2.86781i 0.0688784 0.147115i
\(381\) 15.7544 0.807122
\(382\) −18.9860 + 10.9616i −0.971408 + 0.560842i
\(383\) −3.32148 + 5.75297i −0.169720 + 0.293963i −0.938321 0.345765i \(-0.887620\pi\)
0.768602 + 0.639728i \(0.220953\pi\)
\(384\) 1.00000i 0.0510310i
\(385\) 41.4205 3.55925i 2.11098 0.181396i
\(386\) 8.05838 + 13.9575i 0.410161 + 0.710419i
\(387\) 0.0843682 + 0.146130i 0.00428868 + 0.00742820i
\(388\) 1.42025 2.45994i 0.0721021 0.124884i
\(389\) 20.7940 + 12.0054i 1.05430 + 0.608699i 0.923849 0.382756i \(-0.125025\pi\)
0.130448 + 0.991455i \(0.458358\pi\)
\(390\) 6.71047 0.576628i 0.339798 0.0291987i
\(391\) −1.96138 3.39721i −0.0991912 0.171804i
\(392\) 0.905002 + 1.56751i 0.0457095 + 0.0791711i
\(393\) 3.33197 0.168076
\(394\) −4.96458 2.86630i −0.250112 0.144402i
\(395\) 5.54330 0.476333i 0.278914 0.0239669i
\(396\) 6.26383 0.314769
\(397\) 18.5483i 0.930913i 0.885071 + 0.465456i \(0.154110\pi\)
−0.885071 + 0.465456i \(0.845890\pi\)
\(398\) −22.8025 + 13.1650i −1.14299 + 0.659904i
\(399\) 4.20331i 0.210429i
\(400\) −4.92670 + 0.852997i −0.246335 + 0.0426499i
\(401\) 15.0009i 0.749111i 0.927204 + 0.374556i \(0.122205\pi\)
−0.927204 + 0.374556i \(0.877795\pi\)
\(402\) 7.03717 12.1887i 0.350982 0.607919i
\(403\) 18.8725 + 10.8960i 0.940106 + 0.542770i
\(404\) −4.70965 + 8.15736i −0.234314 + 0.405844i
\(405\) −0.191439 2.22786i −0.00951268 0.110703i
\(406\) −22.3931 −1.11135
\(407\) −28.5050 25.2820i −1.41294 1.25318i
\(408\) 1.58013i 0.0782279i
\(409\) 4.17795 2.41214i 0.206586 0.119273i −0.393138 0.919480i \(-0.628610\pi\)
0.599724 + 0.800207i \(0.295277\pi\)
\(410\) 10.9523 7.64367i 0.540897 0.377494i
\(411\) −9.27049 + 16.0570i −0.457279 + 0.792031i
\(412\) −3.81044 + 6.59988i −0.187727 + 0.325153i
\(413\) −12.4349 −0.611880
\(414\) 1.24128 2.14996i 0.0610056 0.105665i
\(415\) −8.13664 + 17.3788i −0.399412 + 0.853092i
\(416\) −1.50604 2.60853i −0.0738395 0.127894i
\(417\) 9.61734i 0.470963i
\(418\) 8.87039i 0.433865i
\(419\) −14.7497 25.5472i −0.720570 1.24806i −0.960771 0.277341i \(-0.910547\pi\)
0.240201 0.970723i \(-0.422787\pi\)
\(420\) −5.44261 + 3.79842i −0.265572 + 0.185344i
\(421\) 9.61863i 0.468783i −0.972142 0.234392i \(-0.924690\pi\)
0.972142 0.234392i \(-0.0753098\pi\)
\(422\) 9.39825 + 16.2782i 0.457500 + 0.792413i
\(423\) 2.87916 1.66228i 0.139989 0.0808230i
\(424\) 0.224349 0.129528i 0.0108953 0.00629043i
\(425\) −7.78481 + 1.34784i −0.377619 + 0.0653800i
\(426\) −5.26349 3.03888i −0.255017 0.147234i
\(427\) −14.6227 25.3273i −0.707643 1.22567i
\(428\) 14.1039 8.14287i 0.681736 0.393601i
\(429\) −16.3394 + 9.43355i −0.788873 + 0.455456i
\(430\) 0.341708 + 0.159985i 0.0164786 + 0.00771518i
\(431\) −20.5042 11.8381i −0.987650 0.570220i −0.0830792 0.996543i \(-0.526475\pi\)
−0.904571 + 0.426323i \(0.859809\pi\)
\(432\) −0.866025 + 0.500000i −0.0416667 + 0.0240563i
\(433\) 4.67045i 0.224448i 0.993683 + 0.112224i \(0.0357973\pi\)
−0.993683 + 0.112224i \(0.964203\pi\)
\(434\) −21.4744 −1.03080
\(435\) −1.44430 16.8079i −0.0692488 0.805878i
\(436\) 20.4584i 0.979779i
\(437\) 3.04462 + 1.75781i 0.145644 + 0.0840876i
\(438\) 6.77606 0.323772
\(439\) 1.09660 + 0.633123i 0.0523379 + 0.0302173i 0.525941 0.850521i \(-0.323713\pi\)
−0.473603 + 0.880739i \(0.657047\pi\)
\(440\) 11.4857 8.01594i 0.547561 0.382145i
\(441\) −0.905002 + 1.56751i −0.0430953 + 0.0746433i
\(442\) −2.37973 4.12181i −0.113192 0.196055i
\(443\) 3.37801i 0.160494i −0.996775 0.0802470i \(-0.974429\pi\)
0.996775 0.0802470i \(-0.0255709\pi\)
\(444\) 5.95915 + 1.22007i 0.282809 + 0.0579020i
\(445\) 11.6717 24.9293i 0.553292 1.18176i
\(446\) −22.3064 + 12.8786i −1.05624 + 0.609821i
\(447\) 10.9475 + 6.32056i 0.517800 + 0.298952i
\(448\) 2.57051 + 1.48408i 0.121445 + 0.0701163i
\(449\) 5.24759 + 3.02970i 0.247649 + 0.142980i 0.618687 0.785637i \(-0.287665\pi\)
−0.371038 + 0.928618i \(0.620998\pi\)
\(450\) −3.20207 3.84015i −0.150947 0.181026i
\(451\) −18.7067 + 32.4009i −0.880863 + 1.52570i
\(452\) −10.2472 −0.481988
\(453\) −2.25088 + 1.29954i −0.105755 + 0.0610579i
\(454\) 12.9195 0.606344
\(455\) 8.47666 18.1051i 0.397392 0.848779i
\(456\) −0.708065 1.22640i −0.0331582 0.0574316i
\(457\) 1.32927 2.30237i 0.0621808 0.107700i −0.833259 0.552883i \(-0.813528\pi\)
0.895440 + 0.445182i \(0.146861\pi\)
\(458\) 17.4576 0.815741
\(459\) −1.36843 + 0.790063i −0.0638728 + 0.0368770i
\(460\) −0.475259 5.53079i −0.0221590 0.257874i
\(461\) −4.86751 + 2.81026i −0.226703 + 0.130887i −0.609050 0.793132i \(-0.708449\pi\)
0.382347 + 0.924019i \(0.375116\pi\)
\(462\) 9.29603 16.1012i 0.432491 0.749096i
\(463\) −11.8584 + 20.5393i −0.551106 + 0.954543i 0.447089 + 0.894489i \(0.352461\pi\)
−0.998195 + 0.0600541i \(0.980873\pi\)
\(464\) −6.53367 + 3.77222i −0.303318 + 0.175121i
\(465\) −1.38504 16.1184i −0.0642299 0.747471i
\(466\) 7.79970 4.50316i 0.361314 0.208605i
\(467\) −10.9683 −0.507550 −0.253775 0.967263i \(-0.581672\pi\)
−0.253775 + 0.967263i \(0.581672\pi\)
\(468\) 1.50604 2.60853i 0.0696165 0.120579i
\(469\) −20.8875 36.1782i −0.964494 1.67055i
\(470\) 3.15215 6.73258i 0.145398 0.310551i
\(471\) 15.0780 0.694757
\(472\) −3.62814 + 2.09471i −0.166999 + 0.0964167i
\(473\) −1.05694 −0.0485979
\(474\) 1.24409 2.15482i 0.0571428 0.0989743i
\(475\) 5.43815 4.53454i 0.249520 0.208059i
\(476\) 4.06173 + 2.34504i 0.186169 + 0.107485i
\(477\) 0.224349 + 0.129528i 0.0102722 + 0.00593067i
\(478\) 14.4833 + 8.36195i 0.662452 + 0.382467i
\(479\) −7.57886 + 4.37566i −0.346287 + 0.199929i −0.663049 0.748576i \(-0.730738\pi\)
0.316762 + 0.948505i \(0.397404\pi\)
\(480\) −0.948138 + 2.02510i −0.0432764 + 0.0924328i
\(481\) −17.3821 + 5.79210i −0.792555 + 0.264097i
\(482\) 18.0277i 0.821141i
\(483\) −3.68432 6.38144i −0.167643 0.290365i
\(484\) −14.1178 + 24.4527i −0.641716 + 1.11149i
\(485\) 5.20850 3.63503i 0.236506 0.165058i
\(486\) −0.866025 0.500000i −0.0392837 0.0226805i
\(487\) −29.7243 −1.34694 −0.673469 0.739216i \(-0.735196\pi\)
−0.673469 + 0.739216i \(0.735196\pi\)
\(488\) −8.53298 4.92652i −0.386270 0.223013i
\(489\) 7.66940i 0.346822i
\(490\) 0.346505 + 4.03243i 0.0156535 + 0.182167i
\(491\) 4.90317 0.221277 0.110639 0.993861i \(-0.464710\pi\)
0.110639 + 0.993861i \(0.464710\pi\)
\(492\) 5.97292i 0.269280i
\(493\) −10.3240 + 5.96058i −0.464971 + 0.268451i
\(494\) 3.69402 + 2.13274i 0.166202 + 0.0959566i
\(495\) 12.6849 + 5.93897i 0.570143 + 0.266937i
\(496\) −6.26562 + 3.61746i −0.281334 + 0.162429i
\(497\) −15.6229 + 9.01988i −0.700783 + 0.404597i
\(498\) 4.29085 + 7.43197i 0.192278 + 0.333035i
\(499\) 29.3135 + 16.9241i 1.31225 + 0.757628i 0.982468 0.186429i \(-0.0596913\pi\)
0.329782 + 0.944057i \(0.393025\pi\)
\(500\) −10.7858 2.94379i −0.482357 0.131650i
\(501\) −7.02216 + 4.05425i −0.313727 + 0.181130i
\(502\) −9.68983 + 5.59443i −0.432478 + 0.249692i
\(503\) −9.64473 16.7052i −0.430037 0.744846i 0.566839 0.823829i \(-0.308166\pi\)
−0.996876 + 0.0789825i \(0.974833\pi\)
\(504\) 2.96816i 0.132213i
\(505\) −17.2718 + 12.0541i −0.768586 + 0.536399i
\(506\) 7.77516 + 13.4670i 0.345648 + 0.598680i
\(507\) 3.92742i 0.174423i
\(508\) 15.7544i 0.698988i
\(509\) 13.1997 + 22.8626i 0.585069 + 1.01337i 0.994867 + 0.101192i \(0.0322657\pi\)
−0.409798 + 0.912176i \(0.634401\pi\)
\(510\) −1.49818 + 3.19992i −0.0663405 + 0.141695i
\(511\) 10.0562 17.4179i 0.444861 0.770522i
\(512\) 1.00000 0.0441942
\(513\) 0.708065 1.22640i 0.0312618 0.0541471i
\(514\) 7.59009 13.1464i 0.334785 0.579864i
\(515\) −13.9741 + 9.75260i −0.615774 + 0.429751i
\(516\) 0.146130 0.0843682i 0.00643301 0.00371410i
\(517\) 20.8245i 0.915861i
\(518\) 11.9801 13.5073i 0.526374 0.593478i
\(519\) −11.9513 −0.524606
\(520\) −0.576628 6.71047i −0.0252868 0.294274i
\(521\) 14.5158 25.1422i 0.635950 1.10150i −0.350363 0.936614i \(-0.613942\pi\)
0.986313 0.164884i \(-0.0527249\pi\)
\(522\) −6.53367 3.77222i −0.285971 0.165105i
\(523\) 9.58818 16.6072i 0.419262 0.726183i −0.576603 0.817024i \(-0.695622\pi\)
0.995865 + 0.0908411i \(0.0289555\pi\)
\(524\) 3.33197i 0.145558i
\(525\) −14.6233 + 2.53184i −0.638212 + 0.110498i
\(526\) 17.4879i 0.762509i
\(527\) −9.90047 + 5.71604i −0.431271 + 0.248995i
\(528\) 6.26383i 0.272598i
\(529\) −16.8369 −0.732039
\(530\) 0.577139 0.0495933i 0.0250693 0.00215420i
\(531\) −3.62814 2.09471i −0.157448 0.0909025i
\(532\) −4.20331 −0.182236
\(533\) 8.99544 + 15.5806i 0.389636 + 0.674869i
\(534\) −6.15507 10.6609i −0.266356 0.461342i
\(535\) 36.2823 3.11773i 1.56862 0.134791i
\(536\) −12.1887 7.03717i −0.526473 0.303959i
\(537\) −6.18942 + 10.7204i −0.267093 + 0.462619i
\(538\) −10.1588 17.5956i −0.437978 0.758601i
\(539\) −5.66877 9.81860i −0.244171 0.422917i
\(540\) −2.22786 + 0.191439i −0.0958717 + 0.00823822i
\(541\) 23.7744i 1.02214i −0.859539 0.511070i \(-0.829249\pi\)
0.859539 0.511070i \(-0.170751\pi\)
\(542\) 0.833496 1.44366i 0.0358017 0.0620104i
\(543\) −14.2400 + 8.22148i −0.611098 + 0.352818i
\(544\) 1.58013 0.0677474
\(545\) −19.3974 + 41.4303i −0.830892 + 1.77468i
\(546\) −4.47016 7.74255i −0.191305 0.331351i
\(547\) −5.18635 −0.221752 −0.110876 0.993834i \(-0.535366\pi\)
−0.110876 + 0.993834i \(0.535366\pi\)
\(548\) 16.0570 + 9.27049i 0.685919 + 0.396016i
\(549\) 9.85304i 0.420518i
\(550\) 30.8600 5.34303i 1.31588 0.227827i
\(551\) 5.34195 9.25252i 0.227575 0.394171i
\(552\) −2.14996 1.24128i −0.0915084 0.0528324i
\(553\) −3.69266 6.39587i −0.157028 0.271980i
\(554\) 0.677580 0.0287876
\(555\) 10.9111 + 8.12086i 0.463150 + 0.344711i
\(556\) −9.61734 −0.407866
\(557\) 19.7296 + 34.1727i 0.835972 + 1.44795i 0.893237 + 0.449586i \(0.148429\pi\)
−0.0572653 + 0.998359i \(0.518238\pi\)
\(558\) −6.26562 3.61746i −0.265245 0.153139i
\(559\) −0.254123 + 0.440154i −0.0107483 + 0.0186165i
\(560\) 3.79842 + 5.44261i 0.160513 + 0.229992i
\(561\) 9.89764i 0.417879i
\(562\) 6.56367 + 3.78954i 0.276872 + 0.159852i
\(563\) −1.04534 −0.0440558 −0.0220279 0.999757i \(-0.507012\pi\)
−0.0220279 + 0.999757i \(0.507012\pi\)
\(564\) −1.66228 2.87916i −0.0699947 0.121234i
\(565\) −20.7516 9.71576i −0.873027 0.408745i
\(566\) 8.82587 0.370979
\(567\) −2.57051 + 1.48408i −0.107951 + 0.0623256i
\(568\) −3.03888 + 5.26349i −0.127508 + 0.220851i
\(569\) 8.72389i 0.365725i −0.983139 0.182862i \(-0.941464\pi\)
0.983139 0.182862i \(-0.0585362\pi\)
\(570\) −0.271102 3.15494i −0.0113552 0.132146i
\(571\) −7.10327 12.3032i −0.297263 0.514874i 0.678246 0.734835i \(-0.262740\pi\)
−0.975509 + 0.219961i \(0.929407\pi\)
\(572\) 9.43355 + 16.3394i 0.394436 + 0.683184i
\(573\) −10.9616 + 18.9860i −0.457926 + 0.793151i
\(574\) −15.3534 8.86431i −0.640840 0.369989i
\(575\) 4.28151 11.6510i 0.178551 0.485881i
\(576\) 0.500000 + 0.866025i 0.0208333 + 0.0360844i
\(577\) −17.7802 30.7962i −0.740199 1.28206i −0.952404 0.304837i \(-0.901398\pi\)
0.212205 0.977225i \(-0.431935\pi\)
\(578\) −14.5032 −0.603254
\(579\) 13.9575 + 8.05838i 0.580055 + 0.334895i
\(580\) −16.8079 + 1.44430i −0.697911 + 0.0599712i
\(581\) 25.4719 1.05675
\(582\) 2.84049i 0.117742i
\(583\) −1.40528 + 0.811340i −0.0582008 + 0.0336023i
\(584\) 6.77606i 0.280395i
\(585\) 5.52312 3.85461i 0.228353 0.159368i
\(586\) 3.90912i 0.161484i
\(587\) −7.07285 + 12.2505i −0.291928 + 0.505634i −0.974266 0.225403i \(-0.927630\pi\)
0.682338 + 0.731037i \(0.260963\pi\)
\(588\) 1.56751 + 0.905002i 0.0646430 + 0.0373216i
\(589\) 5.12279 8.87293i 0.211081 0.365603i
\(590\) −9.33341 + 0.802017i −0.384251 + 0.0330185i
\(591\) −5.73260 −0.235808
\(592\) 1.22007 5.95915i 0.0501446 0.244919i
\(593\) 16.5862i 0.681113i 0.940224 + 0.340556i \(0.110615\pi\)
−0.940224 + 0.340556i \(0.889385\pi\)
\(594\) 5.42463 3.13191i 0.222575 0.128504i
\(595\) 6.00199 + 8.60002i 0.246057 + 0.352566i
\(596\) 6.32056 10.9475i 0.258900 0.448428i
\(597\) −13.1650 + 22.8025i −0.538809 + 0.933244i
\(598\) 7.47765 0.305784
\(599\) 1.59438 2.76154i 0.0651445 0.112834i −0.831614 0.555355i \(-0.812583\pi\)
0.896758 + 0.442521i \(0.145916\pi\)
\(600\) −3.84015 + 3.20207i −0.156773 + 0.130724i
\(601\) −13.6020 23.5594i −0.554837 0.961006i −0.997916 0.0645235i \(-0.979447\pi\)
0.443079 0.896483i \(-0.353886\pi\)
\(602\) 0.500837i 0.0204126i
\(603\) 14.0743i 0.573151i
\(604\) 1.29954 + 2.25088i 0.0528777 + 0.0915868i
\(605\) −51.7744 + 36.1336i −2.10493 + 1.46904i
\(606\) 9.41930i 0.382633i
\(607\) 4.70400 + 8.14756i 0.190929 + 0.330699i 0.945558 0.325452i \(-0.105517\pi\)
−0.754629 + 0.656152i \(0.772183\pi\)
\(608\) −1.22640 + 0.708065i −0.0497373 + 0.0287158i
\(609\) −19.3930 + 11.1966i −0.785844 + 0.453707i
\(610\) −12.6091 18.0671i −0.510529 0.731517i
\(611\) 8.67223 + 5.00692i 0.350841 + 0.202558i
\(612\) 0.790063 + 1.36843i 0.0319364 + 0.0553155i
\(613\) 28.0938 16.2200i 1.13470 0.655118i 0.189586 0.981864i \(-0.439286\pi\)
0.945112 + 0.326746i \(0.105952\pi\)
\(614\) 2.88527 1.66581i 0.116440 0.0672266i
\(615\) 5.66316 12.0958i 0.228360 0.487749i
\(616\) −16.1012 9.29603i −0.648736 0.374548i
\(617\) −5.55242 + 3.20569i −0.223532 + 0.129056i −0.607585 0.794255i \(-0.707861\pi\)
0.384053 + 0.923311i \(0.374528\pi\)
\(618\) 7.62088i 0.306557i
\(619\) 34.1202 1.37141 0.685703 0.727882i \(-0.259495\pi\)
0.685703 + 0.727882i \(0.259495\pi\)
\(620\) −16.1184 + 1.38504i −0.647329 + 0.0556247i
\(621\) 2.48256i 0.0996217i
\(622\) 9.88071 + 5.70463i 0.396181 + 0.228735i
\(623\) −36.5385 −1.46389
\(624\) −2.60853 1.50604i −0.104425 0.0602897i
\(625\) −19.0513 16.1879i −0.762051 0.647517i
\(626\) 16.6242 28.7939i 0.664435 1.15084i
\(627\) 4.43520 + 7.68198i 0.177125 + 0.306789i
\(628\) 15.0780i 0.601677i
\(629\) 1.92787 9.41621i 0.0768690 0.375449i
\(630\) −2.81423 + 6.01083i −0.112122 + 0.239477i
\(631\) −31.0607 + 17.9329i −1.23651 + 0.713898i −0.968379 0.249485i \(-0.919739\pi\)
−0.268129 + 0.963383i \(0.586405\pi\)
\(632\) −2.15482 1.24409i −0.0857142 0.0494871i
\(633\) 16.2782 + 9.39825i 0.647002 + 0.373547i
\(634\) 14.8439 + 8.57012i 0.589526 + 0.340363i
\(635\) 14.9373 31.9042i 0.592770 1.26608i
\(636\) 0.129528 0.224349i 0.00513611 0.00889601i
\(637\) −5.45186 −0.216011
\(638\) 40.9258 23.6285i 1.62027 0.935461i
\(639\) −6.07775 −0.240432
\(640\) 2.02510 + 0.948138i 0.0800491 + 0.0374784i
\(641\) 18.4422 + 31.9428i 0.728424 + 1.26167i 0.957549 + 0.288270i \(0.0930800\pi\)
−0.229126 + 0.973397i \(0.573587\pi\)
\(642\) 8.14287 14.1039i 0.321374 0.556635i
\(643\) 15.4850 0.610669 0.305335 0.952245i \(-0.401232\pi\)
0.305335 + 0.952245i \(0.401232\pi\)
\(644\) −6.38144 + 3.68432i −0.251464 + 0.145183i
\(645\) 0.375921 0.0323027i 0.0148019 0.00127192i
\(646\) −1.93787 + 1.11883i −0.0762447 + 0.0440199i
\(647\) −22.4223 + 38.8366i −0.881512 + 1.52682i −0.0318523 + 0.999493i \(0.510141\pi\)
−0.849660 + 0.527331i \(0.823193\pi\)
\(648\) −0.500000 + 0.866025i −0.0196419 + 0.0340207i
\(649\) 22.7260 13.1209i 0.892074 0.515039i
\(650\) 5.19472 14.1361i 0.203754 0.554464i
\(651\) −18.5974 + 10.7372i −0.728889 + 0.420824i
\(652\) −7.66940 −0.300357
\(653\) −19.8488 + 34.3792i −0.776745 + 1.34536i 0.157063 + 0.987589i \(0.449797\pi\)
−0.933808 + 0.357774i \(0.883536\pi\)
\(654\) 10.2292 + 17.7175i 0.399993 + 0.692809i
\(655\) 3.15917 6.74758i 0.123439 0.263650i
\(656\) −5.97292 −0.233203
\(657\) 5.86824 3.38803i 0.228942 0.132180i
\(658\) −9.86786 −0.384689
\(659\) 17.6781 30.6194i 0.688642 1.19276i −0.283636 0.958932i \(-0.591541\pi\)
0.972277 0.233830i \(-0.0751260\pi\)
\(660\) 5.93897 12.6849i 0.231174 0.493758i
\(661\) −25.7382 14.8599i −1.00110 0.577984i −0.0925251 0.995710i \(-0.529494\pi\)
−0.908573 + 0.417726i \(0.862827\pi\)
\(662\) 11.0933 + 6.40472i 0.431154 + 0.248927i
\(663\) −4.12181 2.37973i −0.160078 0.0924210i
\(664\) 7.43197 4.29085i 0.288416 0.166517i
\(665\) −8.51212 3.98531i −0.330086 0.154544i
\(666\) 5.77081 1.92296i 0.223614 0.0745133i
\(667\) 18.7295i 0.725209i
\(668\) 4.05425 + 7.02216i 0.156864 + 0.271696i
\(669\) −12.8786 + 22.3064i −0.497916 + 0.862417i
\(670\) −18.0112 25.8076i −0.695834 0.997034i
\(671\) 53.4491 + 30.8589i 2.06338 + 1.19129i
\(672\) 2.96816 0.114499
\(673\) −27.2357 15.7245i −1.04986 0.606136i −0.127249 0.991871i \(-0.540615\pi\)
−0.922610 + 0.385735i \(0.873948\pi\)
\(674\) 22.3393i 0.860478i
\(675\) −4.69315 1.72463i −0.180639 0.0663812i
\(676\) −3.92742 −0.151055
\(677\) 47.8139i 1.83764i −0.394678 0.918820i \(-0.629144\pi\)
0.394678 0.918820i \(-0.370856\pi\)
\(678\) −8.87433 + 5.12360i −0.340817 + 0.196771i
\(679\) −7.30150 4.21552i −0.280206 0.161777i
\(680\) 3.19992 + 1.49818i 0.122711 + 0.0574525i
\(681\) 11.1887 6.45977i 0.428750 0.247539i
\(682\) 39.2467 22.6591i 1.50283 0.867662i
\(683\) 15.2201 + 26.3620i 0.582382 + 1.00872i 0.995196 + 0.0979004i \(0.0312127\pi\)
−0.412814 + 0.910815i \(0.635454\pi\)
\(684\) −1.22640 0.708065i −0.0468927 0.0270735i
\(685\) 23.7273 + 33.9979i 0.906572 + 1.29899i
\(686\) −13.3409 + 7.70238i −0.509359 + 0.294078i
\(687\) 15.1187 8.72881i 0.576816 0.333025i
\(688\) −0.0843682 0.146130i −0.00321651 0.00557115i
\(689\) 0.780294i 0.0297269i
\(690\) −3.17698 4.55218i −0.120946 0.173298i
\(691\) −5.21565 9.03378i −0.198413 0.343661i 0.749601 0.661890i \(-0.230245\pi\)
−0.948014 + 0.318229i \(0.896912\pi\)
\(692\) 11.9513i 0.454322i
\(693\) 18.5921i 0.706254i
\(694\) 10.3954 + 18.0054i 0.394604 + 0.683475i
\(695\) −19.4761 9.11857i −0.738770 0.345887i
\(696\) −3.77222 + 6.53367i −0.142985 + 0.247658i
\(697\) −9.43798 −0.357489
\(698\) −16.7072 + 28.9376i −0.632375 + 1.09531i
\(699\) 4.50316 7.79970i 0.170325 0.295012i
\(700\) 2.53184 + 14.6233i 0.0956945 + 0.552707i
\(701\) −36.0512 + 20.8142i −1.36163 + 0.786140i −0.989841 0.142176i \(-0.954590\pi\)
−0.371793 + 0.928316i \(0.621257\pi\)
\(702\) 3.01207i 0.113683i
\(703\) 2.72316 + 8.17221i 0.102706 + 0.308221i
\(704\) −6.26383 −0.236077
\(705\) −0.636451 7.40666i −0.0239701 0.278951i
\(706\) 4.65698 8.06613i 0.175268 0.303573i
\(707\) 24.2124 + 13.9790i 0.910600 + 0.525735i
\(708\) −2.09471 + 3.62814i −0.0787239 + 0.136354i
\(709\) 37.6310i 1.41326i 0.707583 + 0.706630i \(0.249786\pi\)
−0.707583 + 0.706630i \(0.750214\pi\)
\(710\) −11.1445 + 7.77782i −0.418247 + 0.291896i
\(711\) 2.48817i 0.0933138i
\(712\) −10.6609 + 6.15507i −0.399534 + 0.230671i
\(713\) 17.9611i 0.672648i
\(714\) 4.69008 0.175522
\(715\) 3.61190 + 42.0332i 0.135077 + 1.57195i
\(716\) 10.7204 + 6.18942i 0.400640 + 0.231309i
\(717\) 16.7239 0.624565
\(718\) 4.42339 + 7.66153i 0.165079 + 0.285926i
\(719\) −3.55712 6.16111i −0.132658 0.229770i 0.792042 0.610466i \(-0.209018\pi\)
−0.924700 + 0.380696i \(0.875685\pi\)
\(720\) 0.191439 + 2.22786i 0.00713451 + 0.0830274i
\(721\) 19.5895 + 11.3100i 0.729552 + 0.421207i
\(722\) −8.49729 + 14.7177i −0.316236 + 0.547737i
\(723\) −9.01387 15.6125i −0.335229 0.580634i
\(724\) 8.22148 + 14.2400i 0.305549 + 0.529227i
\(725\) −35.4071 13.0114i −1.31499 0.483230i
\(726\) 28.2355i 1.04792i
\(727\) 12.2381 21.1969i 0.453884 0.786151i −0.544739 0.838606i \(-0.683371\pi\)
0.998623 + 0.0524549i \(0.0167046\pi\)
\(728\) −7.74255 + 4.47016i −0.286958 + 0.165675i
\(729\) −1.00000 −0.0370370
\(730\) 6.42464 13.7222i 0.237786 0.507881i
\(731\) −0.133312 0.230904i −0.00493074 0.00854029i
\(732\) −9.85304 −0.364179
\(733\) −29.1268 16.8164i −1.07582 0.621127i −0.146057 0.989276i \(-0.546658\pi\)
−0.929767 + 0.368149i \(0.879992\pi\)
\(734\) 19.0354i 0.702610i
\(735\) 2.31630 + 3.31893i 0.0854379 + 0.122421i
\(736\) −1.24128 + 2.14996i −0.0457542 + 0.0792486i
\(737\) 76.3481 + 44.0796i 2.81232 + 1.62369i
\(738\) −2.98646 5.17270i −0.109933 0.190410i
\(739\) −9.43102 −0.346926 −0.173463 0.984840i \(-0.555496\pi\)
−0.173463 + 0.984840i \(0.555496\pi\)
\(740\) 8.12086 10.9111i 0.298529 0.401099i
\(741\) 4.26549 0.156697
\(742\) −0.384460 0.665904i −0.0141140 0.0244461i
\(743\) 8.92177 + 5.15098i 0.327308 + 0.188971i 0.654645 0.755936i \(-0.272818\pi\)
−0.327337 + 0.944908i \(0.606151\pi\)
\(744\) −3.61746 + 6.26562i −0.132622 + 0.229709i
\(745\) 23.1795 16.1771i 0.849233 0.592683i
\(746\) 9.99647i 0.365997i
\(747\) 7.43197 + 4.29085i 0.271922 + 0.156994i
\(748\) −9.89764 −0.361894
\(749\) −24.1694 41.8626i −0.883131 1.52963i
\(750\) −10.8127 + 2.84352i −0.394824 + 0.103831i
\(751\) −22.2258 −0.811031 −0.405516 0.914088i \(-0.632908\pi\)
−0.405516 + 0.914088i \(0.632908\pi\)
\(752\) −2.87916 + 1.66228i −0.104992 + 0.0606172i
\(753\) −5.59443 + 9.68983i −0.203872 + 0.353117i
\(754\) 22.7244i 0.827573i
\(755\) 0.497566 + 5.79040i 0.0181083 + 0.210734i
\(756\) 1.48408 + 2.57051i 0.0539756 + 0.0934884i
\(757\) 5.74529 + 9.95114i 0.208816 + 0.361680i 0.951342 0.308137i \(-0.0997056\pi\)
−0.742526 + 0.669818i \(0.766372\pi\)
\(758\) −14.8869 + 25.7849i −0.540717 + 0.936549i
\(759\) 13.4670 + 7.77516i 0.488820 + 0.282220i
\(760\) −3.15494 + 0.271102i −0.114442 + 0.00983392i
\(761\) −8.92596 15.4602i −0.323566 0.560433i 0.657655 0.753319i \(-0.271548\pi\)
−0.981221 + 0.192887i \(0.938215\pi\)
\(762\) −7.87719 13.6437i −0.285361 0.494259i
\(763\) 60.7239 2.19835
\(764\) 18.9860 + 10.9616i 0.686889 + 0.396575i
\(765\) 0.302498 + 3.52030i 0.0109368 + 0.127277i
\(766\) 6.64296 0.240020
\(767\) 12.6188i 0.455639i
\(768\) 0.866025 0.500000i 0.0312500 0.0180422i
\(769\) 14.6714i 0.529066i −0.964377 0.264533i \(-0.914782\pi\)
0.964377 0.264533i \(-0.0852178\pi\)
\(770\) −23.7926 34.0916i −0.857427 1.22858i
\(771\) 15.1802i 0.546701i
\(772\) 8.05838 13.9575i 0.290027 0.502342i
\(773\) −14.3016 8.25702i −0.514392 0.296984i 0.220245 0.975445i \(-0.429314\pi\)
−0.734637 + 0.678460i \(0.762648\pi\)
\(774\) 0.0843682 0.146130i 0.00303255 0.00525253i
\(775\) −33.9545 12.4776i −1.21968 0.448208i
\(776\) −2.84049 −0.101968