Properties

Label 546.2.bi.f.17.17
Level $546$
Weight $2$
Character 546.17
Analytic conductor $4.360$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bi (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(34\)
Relative dimension: \(17\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 17.17
Character \(\chi\) \(=\) 546.17
Dual form 546.2.bi.f.257.17

$q$-expansion

\(f(q)\) \(=\) \(q+1.00000 q^{2} +(1.73066 + 0.0694407i) q^{3} +1.00000 q^{4} +(-2.64914 + 1.52948i) q^{5} +(1.73066 + 0.0694407i) q^{6} +(0.969634 - 2.46167i) q^{7} +1.00000 q^{8} +(2.99036 + 0.240356i) q^{9} +O(q^{10})\) \(q+1.00000 q^{2} +(1.73066 + 0.0694407i) q^{3} +1.00000 q^{4} +(-2.64914 + 1.52948i) q^{5} +(1.73066 + 0.0694407i) q^{6} +(0.969634 - 2.46167i) q^{7} +1.00000 q^{8} +(2.99036 + 0.240356i) q^{9} +(-2.64914 + 1.52948i) q^{10} +(1.13290 + 1.96224i) q^{11} +(1.73066 + 0.0694407i) q^{12} +(3.11743 + 1.81152i) q^{13} +(0.969634 - 2.46167i) q^{14} +(-4.69096 + 2.46305i) q^{15} +1.00000 q^{16} +3.59543 q^{17} +(2.99036 + 0.240356i) q^{18} +(-0.413821 + 0.716759i) q^{19} +(-2.64914 + 1.52948i) q^{20} +(1.84905 - 4.19297i) q^{21} +(1.13290 + 1.96224i) q^{22} -4.62091i q^{23} +(1.73066 + 0.0694407i) q^{24} +(2.17863 - 3.77350i) q^{25} +(3.11743 + 1.81152i) q^{26} +(5.15859 + 0.623627i) q^{27} +(0.969634 - 2.46167i) q^{28} +(-7.61619 - 4.39721i) q^{29} +(-4.69096 + 2.46305i) q^{30} +(-4.78177 + 8.28226i) q^{31} +1.00000 q^{32} +(1.82441 + 3.47464i) q^{33} +3.59543 q^{34} +(1.19638 + 8.00434i) q^{35} +(2.99036 + 0.240356i) q^{36} +1.34601i q^{37} +(-0.413821 + 0.716759i) q^{38} +(5.26942 + 3.35160i) q^{39} +(-2.64914 + 1.52948i) q^{40} +(-7.03626 - 4.06239i) q^{41} +(1.84905 - 4.19297i) q^{42} +(-4.70036 - 8.14127i) q^{43} +(1.13290 + 1.96224i) q^{44} +(-8.28949 + 3.93696i) q^{45} -4.62091i q^{46} +(-2.73905 + 1.58139i) q^{47} +(1.73066 + 0.0694407i) q^{48} +(-5.11962 - 4.77383i) q^{49} +(2.17863 - 3.77350i) q^{50} +(6.22246 + 0.249669i) q^{51} +(3.11743 + 1.81152i) q^{52} +(-1.44524 - 0.834408i) q^{53} +(5.15859 + 0.623627i) q^{54} +(-6.00243 - 3.46551i) q^{55} +(0.969634 - 2.46167i) q^{56} +(-0.765955 + 1.21173i) q^{57} +(-7.61619 - 4.39721i) q^{58} +10.7942i q^{59} +(-4.69096 + 2.46305i) q^{60} +(-9.14560 - 5.28021i) q^{61} +(-4.78177 + 8.28226i) q^{62} +(3.49123 - 7.12821i) q^{63} +1.00000 q^{64} +(-11.0292 - 0.0309078i) q^{65} +(1.82441 + 3.47464i) q^{66} +(3.51789 - 2.03106i) q^{67} +3.59543 q^{68} +(0.320879 - 7.99721i) q^{69} +(1.19638 + 8.00434i) q^{70} +(-3.81286 - 6.60406i) q^{71} +(2.99036 + 0.240356i) q^{72} +(5.74190 - 9.94525i) q^{73} +1.34601i q^{74} +(4.03250 - 6.37935i) q^{75} +(-0.413821 + 0.716759i) q^{76} +(5.92889 - 0.886170i) q^{77} +(5.26942 + 3.35160i) q^{78} +(2.91514 + 5.04917i) q^{79} +(-2.64914 + 1.52948i) q^{80} +(8.88446 + 1.43750i) q^{81} +(-7.03626 - 4.06239i) q^{82} +3.79233i q^{83} +(1.84905 - 4.19297i) q^{84} +(-9.52479 + 5.49914i) q^{85} +(-4.70036 - 8.14127i) q^{86} +(-12.8757 - 8.13894i) q^{87} +(1.13290 + 1.96224i) q^{88} -8.34716i q^{89} +(-8.28949 + 3.93696i) q^{90} +(7.48213 - 5.91758i) q^{91} -4.62091i q^{92} +(-8.85073 + 14.0017i) q^{93} +(-2.73905 + 1.58139i) q^{94} -2.53173i q^{95} +(1.73066 + 0.0694407i) q^{96} +(7.99888 + 13.8545i) q^{97} +(-5.11962 - 4.77383i) q^{98} +(2.91614 + 6.14011i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q + 34q^{2} + 6q^{3} + 34q^{4} + 9q^{5} + 6q^{6} + 4q^{7} + 34q^{8} + 4q^{9} + O(q^{10}) \) \( 34q + 34q^{2} + 6q^{3} + 34q^{4} + 9q^{5} + 6q^{6} + 4q^{7} + 34q^{8} + 4q^{9} + 9q^{10} + 9q^{11} + 6q^{12} + 8q^{13} + 4q^{14} - 17q^{15} + 34q^{16} + 12q^{17} + 4q^{18} - 5q^{19} + 9q^{20} - 7q^{21} + 9q^{22} + 6q^{24} + 16q^{25} + 8q^{26} - 18q^{27} + 4q^{28} + 27q^{29} - 17q^{30} - q^{31} + 34q^{32} + 12q^{34} - 3q^{35} + 4q^{36} - 5q^{38} - 10q^{39} + 9q^{40} - 3q^{41} - 7q^{42} - 3q^{43} + 9q^{44} + 9q^{45} - 27q^{47} + 6q^{48} - 2q^{49} + 16q^{50} - 36q^{51} + 8q^{52} - 21q^{53} - 18q^{54} - 57q^{55} + 4q^{56} - 17q^{57} + 27q^{58} - 17q^{60} - 51q^{61} - q^{62} - 24q^{63} + 34q^{64} - 21q^{65} - 21q^{67} + 12q^{68} + 30q^{69} - 3q^{70} - 15q^{71} + 4q^{72} - 19q^{73} - 54q^{75} - 5q^{76} + 9q^{77} - 10q^{78} - 9q^{79} + 9q^{80} + 28q^{81} - 3q^{82} - 7q^{84} - 42q^{85} - 3q^{86} - 81q^{87} + 9q^{88} + 9q^{90} - 72q^{91} - 17q^{93} - 27q^{94} + 6q^{96} + 19q^{97} - 2q^{98} - 27q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00000 0.707107
\(3\) 1.73066 + 0.0694407i 0.999196 + 0.0400916i
\(4\) 1.00000 0.500000
\(5\) −2.64914 + 1.52948i −1.18473 + 0.684005i −0.957104 0.289743i \(-0.906430\pi\)
−0.227627 + 0.973748i \(0.573097\pi\)
\(6\) 1.73066 + 0.0694407i 0.706538 + 0.0283491i
\(7\) 0.969634 2.46167i 0.366487 0.930423i
\(8\) 1.00000 0.353553
\(9\) 2.99036 + 0.240356i 0.996785 + 0.0801188i
\(10\) −2.64914 + 1.52948i −0.837732 + 0.483665i
\(11\) 1.13290 + 1.96224i 0.341583 + 0.591639i 0.984727 0.174106i \(-0.0557037\pi\)
−0.643144 + 0.765745i \(0.722370\pi\)
\(12\) 1.73066 + 0.0694407i 0.499598 + 0.0200458i
\(13\) 3.11743 + 1.81152i 0.864621 + 0.502425i
\(14\) 0.969634 2.46167i 0.259146 0.657908i
\(15\) −4.69096 + 2.46305i −1.21120 + 0.635957i
\(16\) 1.00000 0.250000
\(17\) 3.59543 0.872019 0.436010 0.899942i \(-0.356391\pi\)
0.436010 + 0.899942i \(0.356391\pi\)
\(18\) 2.99036 + 0.240356i 0.704834 + 0.0566525i
\(19\) −0.413821 + 0.716759i −0.0949370 + 0.164436i −0.909582 0.415524i \(-0.863598\pi\)
0.814645 + 0.579959i \(0.196932\pi\)
\(20\) −2.64914 + 1.52948i −0.592366 + 0.342003i
\(21\) 1.84905 4.19297i 0.403495 0.914982i
\(22\) 1.13290 + 1.96224i 0.241536 + 0.418352i
\(23\) 4.62091i 0.963526i −0.876302 0.481763i \(-0.839997\pi\)
0.876302 0.481763i \(-0.160003\pi\)
\(24\) 1.73066 + 0.0694407i 0.353269 + 0.0141745i
\(25\) 2.17863 3.77350i 0.435726 0.754699i
\(26\) 3.11743 + 1.81152i 0.611379 + 0.355268i
\(27\) 5.15859 + 0.623627i 0.992772 + 0.120017i
\(28\) 0.969634 2.46167i 0.183244 0.465212i
\(29\) −7.61619 4.39721i −1.41429 0.816542i −0.418503 0.908216i \(-0.637445\pi\)
−0.995789 + 0.0916739i \(0.970778\pi\)
\(30\) −4.69096 + 2.46305i −0.856449 + 0.449690i
\(31\) −4.78177 + 8.28226i −0.858831 + 1.48754i 0.0142145 + 0.999899i \(0.495475\pi\)
−0.873045 + 0.487639i \(0.837858\pi\)
\(32\) 1.00000 0.176777
\(33\) 1.82441 + 3.47464i 0.317588 + 0.604858i
\(34\) 3.59543 0.616611
\(35\) 1.19638 + 8.00434i 0.202225 + 1.35298i
\(36\) 2.99036 + 0.240356i 0.498393 + 0.0400594i
\(37\) 1.34601i 0.221282i 0.993860 + 0.110641i \(0.0352904\pi\)
−0.993860 + 0.110641i \(0.964710\pi\)
\(38\) −0.413821 + 0.716759i −0.0671306 + 0.116274i
\(39\) 5.26942 + 3.35160i 0.843783 + 0.536685i
\(40\) −2.64914 + 1.52948i −0.418866 + 0.241832i
\(41\) −7.03626 4.06239i −1.09888 0.634438i −0.162953 0.986634i \(-0.552102\pi\)
−0.935926 + 0.352196i \(0.885435\pi\)
\(42\) 1.84905 4.19297i 0.285314 0.646990i
\(43\) −4.70036 8.14127i −0.716799 1.24153i −0.962262 0.272126i \(-0.912273\pi\)
0.245463 0.969406i \(-0.421060\pi\)
\(44\) 1.13290 + 1.96224i 0.170791 + 0.295819i
\(45\) −8.28949 + 3.93696i −1.23572 + 0.586887i
\(46\) 4.62091i 0.681316i
\(47\) −2.73905 + 1.58139i −0.399531 + 0.230669i −0.686282 0.727336i \(-0.740758\pi\)
0.286751 + 0.958005i \(0.407425\pi\)
\(48\) 1.73066 + 0.0694407i 0.249799 + 0.0100229i
\(49\) −5.11962 4.77383i −0.731374 0.681976i
\(50\) 2.17863 3.77350i 0.308105 0.533653i
\(51\) 6.22246 + 0.249669i 0.871318 + 0.0349607i
\(52\) 3.11743 + 1.81152i 0.432310 + 0.251212i
\(53\) −1.44524 0.834408i −0.198519 0.114615i 0.397446 0.917626i \(-0.369897\pi\)
−0.595964 + 0.803011i \(0.703230\pi\)
\(54\) 5.15859 + 0.623627i 0.701996 + 0.0848649i
\(55\) −6.00243 3.46551i −0.809368 0.467289i
\(56\) 0.969634 2.46167i 0.129573 0.328954i
\(57\) −0.765955 + 1.21173i −0.101453 + 0.160497i
\(58\) −7.61619 4.39721i −1.00006 0.577382i
\(59\) 10.7942i 1.40529i 0.711543 + 0.702643i \(0.247997\pi\)
−0.711543 + 0.702643i \(0.752003\pi\)
\(60\) −4.69096 + 2.46305i −0.605601 + 0.317979i
\(61\) −9.14560 5.28021i −1.17097 0.676062i −0.217065 0.976157i \(-0.569648\pi\)
−0.953909 + 0.300095i \(0.902982\pi\)
\(62\) −4.78177 + 8.28226i −0.607285 + 1.05185i
\(63\) 3.49123 7.12821i 0.439853 0.898070i
\(64\) 1.00000 0.125000
\(65\) −11.0292 0.0309078i −1.36800 0.00383365i
\(66\) 1.82441 + 3.47464i 0.224569 + 0.427699i
\(67\) 3.51789 2.03106i 0.429779 0.248133i −0.269474 0.963008i \(-0.586850\pi\)
0.699252 + 0.714875i \(0.253516\pi\)
\(68\) 3.59543 0.436010
\(69\) 0.320879 7.99721i 0.0386293 0.962752i
\(70\) 1.19638 + 8.00434i 0.142995 + 0.956702i
\(71\) −3.81286 6.60406i −0.452503 0.783758i 0.546038 0.837760i \(-0.316135\pi\)
−0.998541 + 0.0540027i \(0.982802\pi\)
\(72\) 2.99036 + 0.240356i 0.352417 + 0.0283263i
\(73\) 5.74190 9.94525i 0.672038 1.16400i −0.305287 0.952260i \(-0.598752\pi\)
0.977325 0.211744i \(-0.0679142\pi\)
\(74\) 1.34601i 0.156470i
\(75\) 4.03250 6.37935i 0.465633 0.736623i
\(76\) −0.413821 + 0.716759i −0.0474685 + 0.0822179i
\(77\) 5.92889 0.886170i 0.675660 0.100988i
\(78\) 5.26942 + 3.35160i 0.596644 + 0.379494i
\(79\) 2.91514 + 5.04917i 0.327979 + 0.568077i 0.982111 0.188304i \(-0.0602991\pi\)
−0.654132 + 0.756381i \(0.726966\pi\)
\(80\) −2.64914 + 1.52948i −0.296183 + 0.171001i
\(81\) 8.88446 + 1.43750i 0.987162 + 0.159722i
\(82\) −7.03626 4.06239i −0.777025 0.448615i
\(83\) 3.79233i 0.416262i 0.978101 + 0.208131i \(0.0667381\pi\)
−0.978101 + 0.208131i \(0.933262\pi\)
\(84\) 1.84905 4.19297i 0.201747 0.457491i
\(85\) −9.52479 + 5.49914i −1.03311 + 0.596465i
\(86\) −4.70036 8.14127i −0.506853 0.877896i
\(87\) −12.8757 8.13894i −1.38042 0.872586i
\(88\) 1.13290 + 1.96224i 0.120768 + 0.209176i
\(89\) 8.34716i 0.884798i −0.896818 0.442399i \(-0.854128\pi\)
0.896818 0.442399i \(-0.145872\pi\)
\(90\) −8.28949 + 3.93696i −0.873789 + 0.414992i
\(91\) 7.48213 5.91758i 0.784340 0.620331i
\(92\) 4.62091i 0.481763i
\(93\) −8.85073 + 14.0017i −0.917778 + 1.45191i
\(94\) −2.73905 + 1.58139i −0.282511 + 0.163108i
\(95\) 2.53173i 0.259750i
\(96\) 1.73066 + 0.0694407i 0.176635 + 0.00708727i
\(97\) 7.99888 + 13.8545i 0.812164 + 1.40671i 0.911347 + 0.411639i \(0.135044\pi\)
−0.0991832 + 0.995069i \(0.531623\pi\)
\(98\) −5.11962 4.77383i −0.517160 0.482230i
\(99\) 2.91614 + 6.14011i 0.293083 + 0.617104i
\(100\) 2.17863 3.77350i 0.217863 0.377350i
\(101\) 3.56996 + 6.18335i 0.355224 + 0.615266i 0.987156 0.159758i \(-0.0510712\pi\)
−0.631932 + 0.775024i \(0.717738\pi\)
\(102\) 6.22246 + 0.249669i 0.616115 + 0.0247209i
\(103\) 1.53644 0.887062i 0.151390 0.0874048i −0.422392 0.906413i \(-0.638809\pi\)
0.573781 + 0.819009i \(0.305476\pi\)
\(104\) 3.11743 + 1.81152i 0.305690 + 0.177634i
\(105\) 1.51470 + 13.9359i 0.147819 + 1.36000i
\(106\) −1.44524 0.834408i −0.140374 0.0810449i
\(107\) 6.29055i 0.608130i 0.952651 + 0.304065i \(0.0983440\pi\)
−0.952651 + 0.304065i \(0.901656\pi\)
\(108\) 5.15859 + 0.623627i 0.496386 + 0.0600086i
\(109\) 9.02357 + 5.20976i 0.864302 + 0.499005i 0.865450 0.500995i \(-0.167032\pi\)
−0.00114874 + 0.999999i \(0.500366\pi\)
\(110\) −6.00243 3.46551i −0.572309 0.330423i
\(111\) −0.0934678 + 2.32948i −0.00887157 + 0.221104i
\(112\) 0.969634 2.46167i 0.0916218 0.232606i
\(113\) 7.25521 4.18880i 0.682513 0.394049i −0.118288 0.992979i \(-0.537741\pi\)
0.800801 + 0.598930i \(0.204407\pi\)
\(114\) −0.765955 + 1.21173i −0.0717382 + 0.113489i
\(115\) 7.06760 + 12.2414i 0.659057 + 1.14152i
\(116\) −7.61619 4.39721i −0.707146 0.408271i
\(117\) 8.88683 + 6.16638i 0.821588 + 0.570082i
\(118\) 10.7942i 0.993687i
\(119\) 3.48625 8.85075i 0.319584 0.811347i
\(120\) −4.69096 + 2.46305i −0.428225 + 0.224845i
\(121\) 2.93307 5.08022i 0.266642 0.461838i
\(122\) −9.14560 5.28021i −0.828004 0.478048i
\(123\) −11.8953 7.51920i −1.07256 0.677984i
\(124\) −4.78177 + 8.28226i −0.429415 + 0.743769i
\(125\) 1.96613i 0.175856i
\(126\) 3.49123 7.12821i 0.311023 0.635031i
\(127\) −0.0429290 + 0.0743552i −0.00380933 + 0.00659795i −0.867924 0.496697i \(-0.834546\pi\)
0.864114 + 0.503295i \(0.167879\pi\)
\(128\) 1.00000 0.0883883
\(129\) −7.56939 14.4161i −0.666447 1.26927i
\(130\) −11.0292 0.0309078i −0.967325 0.00271080i
\(131\) 1.03041 + 1.78473i 0.0900276 + 0.155932i 0.907523 0.420003i \(-0.137971\pi\)
−0.817495 + 0.575936i \(0.804638\pi\)
\(132\) 1.82441 + 3.47464i 0.158794 + 0.302429i
\(133\) 1.36317 + 1.71368i 0.118202 + 0.148595i
\(134\) 3.51789 2.03106i 0.303900 0.175456i
\(135\) −14.6197 + 6.23790i −1.25826 + 0.536873i
\(136\) 3.59543 0.308305
\(137\) −8.97465 −0.766756 −0.383378 0.923592i \(-0.625239\pi\)
−0.383378 + 0.923592i \(0.625239\pi\)
\(138\) 0.320879 7.99721i 0.0273151 0.680768i
\(139\) −18.0789 + 10.4379i −1.53343 + 0.885328i −0.534233 + 0.845338i \(0.679399\pi\)
−0.999200 + 0.0399902i \(0.987267\pi\)
\(140\) 1.19638 + 8.00434i 0.101113 + 0.676490i
\(141\) −4.85016 + 2.54664i −0.408457 + 0.214466i
\(142\) −3.81286 6.60406i −0.319968 0.554200i
\(143\) −0.0228937 + 8.16944i −0.00191447 + 0.683163i
\(144\) 2.99036 + 0.240356i 0.249196 + 0.0200297i
\(145\) 26.9018 2.23407
\(146\) 5.74190 9.94525i 0.475203 0.823075i
\(147\) −8.52881 8.61739i −0.703445 0.710750i
\(148\) 1.34601i 0.110641i
\(149\) 0.851501 1.47484i 0.0697576 0.120824i −0.829037 0.559194i \(-0.811111\pi\)
0.898795 + 0.438370i \(0.144444\pi\)
\(150\) 4.03250 6.37935i 0.329252 0.520871i
\(151\) −19.2492 11.1135i −1.56648 0.904406i −0.996575 0.0826936i \(-0.973648\pi\)
−0.569902 0.821712i \(-0.693019\pi\)
\(152\) −0.413821 + 0.716759i −0.0335653 + 0.0581368i
\(153\) 10.7516 + 0.864184i 0.869216 + 0.0698651i
\(154\) 5.92889 0.886170i 0.477764 0.0714096i
\(155\) 29.2545i 2.34978i
\(156\) 5.26942 + 3.35160i 0.421891 + 0.268343i
\(157\) 10.2785 + 5.93431i 0.820316 + 0.473610i 0.850525 0.525934i \(-0.176284\pi\)
−0.0302095 + 0.999544i \(0.509617\pi\)
\(158\) 2.91514 + 5.04917i 0.231916 + 0.401691i
\(159\) −2.44327 1.54443i −0.193764 0.122482i
\(160\) −2.64914 + 1.52948i −0.209433 + 0.120916i
\(161\) −11.3751 4.48059i −0.896487 0.353120i
\(162\) 8.88446 + 1.43750i 0.698029 + 0.112941i
\(163\) 8.32458 + 4.80620i 0.652031 + 0.376451i 0.789234 0.614092i \(-0.210478\pi\)
−0.137203 + 0.990543i \(0.543811\pi\)
\(164\) −7.03626 4.06239i −0.549440 0.317219i
\(165\) −10.1475 6.41442i −0.789983 0.499362i
\(166\) 3.79233i 0.294342i
\(167\) −21.5888 12.4643i −1.67059 0.964517i −0.967307 0.253608i \(-0.918383\pi\)
−0.703285 0.710908i \(-0.748284\pi\)
\(168\) 1.84905 4.19297i 0.142657 0.323495i
\(169\) 6.43680 + 11.2946i 0.495138 + 0.868814i
\(170\) −9.52479 + 5.49914i −0.730518 + 0.421765i
\(171\) −1.40975 + 2.04390i −0.107806 + 0.156301i
\(172\) −4.70036 8.14127i −0.358399 0.620766i
\(173\) −2.01276 + 3.48621i −0.153028 + 0.265051i −0.932339 0.361585i \(-0.882236\pi\)
0.779312 + 0.626637i \(0.215569\pi\)
\(174\) −12.8757 8.13894i −0.976103 0.617012i
\(175\) −7.17662 9.02197i −0.542502 0.681997i
\(176\) 1.13290 + 1.96224i 0.0853957 + 0.147910i
\(177\) −0.749558 + 18.6811i −0.0563402 + 1.40416i
\(178\) 8.34716i 0.625646i
\(179\) 10.9445 6.31879i 0.818028 0.472289i −0.0317081 0.999497i \(-0.510095\pi\)
0.849736 + 0.527209i \(0.176761\pi\)
\(180\) −8.28949 + 3.93696i −0.617862 + 0.293443i
\(181\) 1.79097i 0.133122i 0.997782 + 0.0665610i \(0.0212027\pi\)
−0.997782 + 0.0665610i \(0.978797\pi\)
\(182\) 7.48213 5.91758i 0.554612 0.438640i
\(183\) −15.4612 9.77332i −1.14293 0.722465i
\(184\) 4.62091i 0.340658i
\(185\) −2.05870 3.56576i −0.151358 0.262160i
\(186\) −8.85073 + 14.0017i −0.648967 + 1.02666i
\(187\) 4.07327 + 7.05510i 0.297867 + 0.515920i
\(188\) −2.73905 + 1.58139i −0.199765 + 0.115335i
\(189\) 6.53711 12.0941i 0.475505 0.879713i
\(190\) 2.53173i 0.183671i
\(191\) 8.45391 + 4.88087i 0.611703 + 0.353167i 0.773632 0.633635i \(-0.218438\pi\)
−0.161928 + 0.986803i \(0.551771\pi\)
\(192\) 1.73066 + 0.0694407i 0.124900 + 0.00501145i
\(193\) −9.03423 + 5.21591i −0.650298 + 0.375450i −0.788570 0.614945i \(-0.789178\pi\)
0.138272 + 0.990394i \(0.455845\pi\)
\(194\) 7.99888 + 13.8545i 0.574286 + 0.994693i
\(195\) −19.0856 0.819367i −1.36675 0.0586761i
\(196\) −5.11962 4.77383i −0.365687 0.340988i
\(197\) −3.77403 + 6.53681i −0.268888 + 0.465728i −0.968575 0.248721i \(-0.919990\pi\)
0.699687 + 0.714450i \(0.253323\pi\)
\(198\) 2.91614 + 6.14011i 0.207241 + 0.436358i
\(199\) 12.2381i 0.867534i −0.901025 0.433767i \(-0.857184\pi\)
0.901025 0.433767i \(-0.142816\pi\)
\(200\) 2.17863 3.77350i 0.154052 0.266826i
\(201\) 6.22931 3.27078i 0.439381 0.230703i
\(202\) 3.56996 + 6.18335i 0.251181 + 0.435059i
\(203\) −18.2094 + 14.4849i −1.27805 + 1.01664i
\(204\) 6.22246 + 0.249669i 0.435659 + 0.0174803i
\(205\) 24.8534 1.73584
\(206\) 1.53644 0.887062i 0.107049 0.0618045i
\(207\) 1.11066 13.8182i 0.0771966 0.960429i
\(208\) 3.11743 + 1.81152i 0.216155 + 0.125606i
\(209\) −1.87527 −0.129715
\(210\) 1.51470 + 13.9359i 0.104524 + 0.961665i
\(211\) −3.36247 + 5.82397i −0.231482 + 0.400939i −0.958244 0.285950i \(-0.907691\pi\)
0.726762 + 0.686889i \(0.241024\pi\)
\(212\) −1.44524 0.834408i −0.0992593 0.0573074i
\(213\) −6.14016 11.6941i −0.420717 0.801269i
\(214\) 6.29055i 0.430013i
\(215\) 24.9038 + 14.3782i 1.69843 + 0.980588i
\(216\) 5.15859 + 0.623627i 0.350998 + 0.0424325i
\(217\) 15.7516 + 19.8019i 1.06929 + 1.34424i
\(218\) 9.02357 + 5.20976i 0.611154 + 0.352850i
\(219\) 10.6279 16.8131i 0.718164 1.13612i
\(220\) −6.00243 3.46551i −0.404684 0.233644i
\(221\) 11.2085 + 6.51318i 0.753966 + 0.438124i
\(222\) −0.0934678 + 2.32948i −0.00627315 + 0.156344i
\(223\) 6.23733 10.8034i 0.417683 0.723448i −0.578023 0.816020i \(-0.696176\pi\)
0.995706 + 0.0925727i \(0.0295091\pi\)
\(224\) 0.969634 2.46167i 0.0647864 0.164477i
\(225\) 7.42186 10.7604i 0.494791 0.717363i
\(226\) 7.25521 4.18880i 0.482609 0.278635i
\(227\) 21.4471i 1.42350i 0.702434 + 0.711748i \(0.252096\pi\)
−0.702434 + 0.711748i \(0.747904\pi\)
\(228\) −0.765955 + 1.21173i −0.0507266 + 0.0802487i
\(229\) 11.7463 + 20.3453i 0.776220 + 1.34445i 0.934106 + 0.356995i \(0.116199\pi\)
−0.157886 + 0.987457i \(0.550468\pi\)
\(230\) 7.06760 + 12.2414i 0.466024 + 0.807176i
\(231\) 10.3224 1.12195i 0.679166 0.0738189i
\(232\) −7.61619 4.39721i −0.500028 0.288691i
\(233\) 11.1727 6.45055i 0.731947 0.422590i −0.0871872 0.996192i \(-0.527788\pi\)
0.819134 + 0.573602i \(0.194455\pi\)
\(234\) 8.88683 + 6.16638i 0.580950 + 0.403109i
\(235\) 4.83741 8.37864i 0.315558 0.546562i
\(236\) 10.7942i 0.702643i
\(237\) 4.69450 + 8.94083i 0.304940 + 0.580769i
\(238\) 3.48625 8.85075i 0.225980 0.573709i
\(239\) −23.0402 −1.49035 −0.745175 0.666869i \(-0.767634\pi\)
−0.745175 + 0.666869i \(0.767634\pi\)
\(240\) −4.69096 + 2.46305i −0.302800 + 0.158989i
\(241\) −27.7786 −1.78938 −0.894688 0.446692i \(-0.852602\pi\)
−0.894688 + 0.446692i \(0.852602\pi\)
\(242\) 2.93307 5.08022i 0.188545 0.326569i
\(243\) 15.2761 + 3.10477i 0.979965 + 0.199171i
\(244\) −9.14560 5.28021i −0.585487 0.338031i
\(245\) 20.8641 + 4.81619i 1.33296 + 0.307695i
\(246\) −11.8953 7.51920i −0.758414 0.479407i
\(247\) −2.58848 + 1.48480i −0.164701 + 0.0944758i
\(248\) −4.78177 + 8.28226i −0.303642 + 0.525924i
\(249\) −0.263342 + 6.56323i −0.0166886 + 0.415928i
\(250\) 1.96613i 0.124349i
\(251\) 6.68358 + 11.5763i 0.421864 + 0.730690i 0.996122 0.0879848i \(-0.0280427\pi\)
−0.574258 + 0.818674i \(0.694709\pi\)
\(252\) 3.49123 7.12821i 0.219927 0.449035i
\(253\) 9.06735 5.23504i 0.570059 0.329124i
\(254\) −0.0429290 + 0.0743552i −0.00269360 + 0.00466546i
\(255\) −16.8660 + 8.85572i −1.05619 + 0.554567i
\(256\) 1.00000 0.0625000
\(257\) −2.71126 −0.169124 −0.0845618 0.996418i \(-0.526949\pi\)
−0.0845618 + 0.996418i \(0.526949\pi\)
\(258\) −7.56939 14.4161i −0.471249 0.897510i
\(259\) 3.31343 + 1.30514i 0.205886 + 0.0810972i
\(260\) −11.0292 0.0309078i −0.684002 0.00191682i
\(261\) −21.7182 14.9798i −1.34432 0.927228i
\(262\) 1.03041 + 1.78473i 0.0636591 + 0.110261i
\(263\) 12.7361 7.35317i 0.785340 0.453416i −0.0529797 0.998596i \(-0.516872\pi\)
0.838319 + 0.545180i \(0.183539\pi\)
\(264\) 1.82441 + 3.47464i 0.112284 + 0.213850i
\(265\) 5.10485 0.313588
\(266\) 1.36317 + 1.71368i 0.0835811 + 0.105073i
\(267\) 0.579633 14.4461i 0.0354730 0.884086i
\(268\) 3.51789 2.03106i 0.214889 0.124066i
\(269\) 7.51872 0.458424 0.229212 0.973376i \(-0.426385\pi\)
0.229212 + 0.973376i \(0.426385\pi\)
\(270\) −14.6197 + 6.23790i −0.889724 + 0.379626i
\(271\) −0.0247852 −0.00150559 −0.000752797 1.00000i \(-0.500240\pi\)
−0.000752797 1.00000i \(0.500240\pi\)
\(272\) 3.59543 0.218005
\(273\) 13.3599 9.72174i 0.808580 0.588387i
\(274\) −8.97465 −0.542178
\(275\) 9.87269 0.595346
\(276\) 0.320879 7.99721i 0.0193147 0.481376i
\(277\) 6.18124 0.371395 0.185697 0.982607i \(-0.440546\pi\)
0.185697 + 0.982607i \(0.440546\pi\)
\(278\) −18.0789 + 10.4379i −1.08430 + 0.626021i
\(279\) −16.2899 + 23.6176i −0.975250 + 1.41395i
\(280\) 1.19638 + 8.00434i 0.0714974 + 0.478351i
\(281\) 29.5748 1.76428 0.882142 0.470984i \(-0.156101\pi\)
0.882142 + 0.470984i \(0.156101\pi\)
\(282\) −4.85016 + 2.54664i −0.288823 + 0.151650i
\(283\) 18.3623 10.6015i 1.09152 0.630192i 0.157543 0.987512i \(-0.449643\pi\)
0.933982 + 0.357320i \(0.116310\pi\)
\(284\) −3.81286 6.60406i −0.226251 0.391879i
\(285\) 0.175805 4.38155i 0.0104138 0.259541i
\(286\) −0.0228937 + 8.16944i −0.00135374 + 0.483069i
\(287\) −16.8228 + 13.3819i −0.993021 + 0.789909i
\(288\) 2.99036 + 0.240356i 0.176208 + 0.0141631i
\(289\) −4.07291 −0.239583
\(290\) 26.9018 1.57973
\(291\) 12.8813 + 24.5328i 0.755113 + 1.43814i
\(292\) 5.74190 9.94525i 0.336019 0.582002i
\(293\) 10.1781 5.87631i 0.594609 0.343298i −0.172309 0.985043i \(-0.555123\pi\)
0.766918 + 0.641745i \(0.221789\pi\)
\(294\) −8.52881 8.61739i −0.497410 0.502576i
\(295\) −16.5095 28.5954i −0.961223 1.66489i
\(296\) 1.34601i 0.0782351i
\(297\) 4.62047 + 10.8289i 0.268107 + 0.628358i
\(298\) 0.851501 1.47484i 0.0493261 0.0854353i
\(299\) 8.37086 14.4054i 0.484100 0.833085i
\(300\) 4.03250 6.37935i 0.232816 0.368312i
\(301\) −24.5987 + 3.67668i −1.41785 + 0.211920i
\(302\) −19.2492 11.1135i −1.10767 0.639512i
\(303\) 5.74900 + 10.9492i 0.330271 + 0.629013i
\(304\) −0.413821 + 0.716759i −0.0237342 + 0.0411089i
\(305\) 32.3040 1.84972
\(306\) 10.7516 + 0.864184i 0.614628 + 0.0494021i
\(307\) −12.2431 −0.698749 −0.349375 0.936983i \(-0.613606\pi\)
−0.349375 + 0.936983i \(0.613606\pi\)
\(308\) 5.92889 0.886170i 0.337830 0.0504942i
\(309\) 2.72064 1.42851i 0.154772 0.0812651i
\(310\) 29.2545i 1.66154i
\(311\) −4.81504 + 8.33990i −0.273036 + 0.472912i −0.969638 0.244546i \(-0.921361\pi\)
0.696602 + 0.717458i \(0.254694\pi\)
\(312\) 5.26942 + 3.35160i 0.298322 + 0.189747i
\(313\) 12.0523 6.95841i 0.681237 0.393312i −0.119084 0.992884i \(-0.537996\pi\)
0.800321 + 0.599572i \(0.204662\pi\)
\(314\) 10.2785 + 5.93431i 0.580051 + 0.334893i
\(315\) 1.65371 + 24.2234i 0.0931758 + 1.36483i
\(316\) 2.91514 + 5.04917i 0.163990 + 0.284038i
\(317\) −11.8204 20.4735i −0.663900 1.14991i −0.979582 0.201044i \(-0.935567\pi\)
0.315682 0.948865i \(-0.397767\pi\)
\(318\) −2.44327 1.54443i −0.137012 0.0866075i
\(319\) 19.9264i 1.11567i
\(320\) −2.64914 + 1.52948i −0.148091 + 0.0855006i
\(321\) −0.436820 + 10.8868i −0.0243809 + 0.607641i
\(322\) −11.3751 4.48059i −0.633912 0.249694i
\(323\) −1.48786 + 2.57705i −0.0827869 + 0.143391i
\(324\) 8.88446 + 1.43750i 0.493581 + 0.0798612i
\(325\) 13.6275 7.81700i 0.755917 0.433609i
\(326\) 8.32458 + 4.80620i 0.461056 + 0.266191i
\(327\) 15.2550 + 9.64292i 0.843601 + 0.533255i
\(328\) −7.03626 4.06239i −0.388512 0.224308i
\(329\) 1.23698 + 8.27599i 0.0681970 + 0.456270i
\(330\) −10.1475 6.41442i −0.558602 0.353102i
\(331\) 13.0461 + 7.53219i 0.717081 + 0.414007i 0.813677 0.581317i \(-0.197462\pi\)
−0.0965965 + 0.995324i \(0.530796\pi\)
\(332\) 3.79233i 0.208131i
\(333\) −0.323522 + 4.02504i −0.0177289 + 0.220571i
\(334\) −21.5888 12.4643i −1.18129 0.682016i
\(335\) −6.21292 + 10.7611i −0.339448 + 0.587942i
\(336\) 1.84905 4.19297i 0.100874 0.228745i
\(337\) −9.93070 −0.540960 −0.270480 0.962726i \(-0.587182\pi\)
−0.270480 + 0.962726i \(0.587182\pi\)
\(338\) 6.43680 + 11.2946i 0.350116 + 0.614344i
\(339\) 12.8472 6.74557i 0.697762 0.366369i
\(340\) −9.52479 + 5.49914i −0.516554 + 0.298233i
\(341\) −21.6691 −1.17345
\(342\) −1.40975 + 2.04390i −0.0762305 + 0.110521i
\(343\) −16.7158 + 7.97393i −0.902566 + 0.430552i
\(344\) −4.70036 8.14127i −0.253427 0.438948i
\(345\) 11.3815 + 21.6765i 0.612762 + 1.16702i
\(346\) −2.01276 + 3.48621i −0.108207 + 0.187420i
\(347\) 3.36902i 0.180859i −0.995903 0.0904293i \(-0.971176\pi\)
0.995903 0.0904293i \(-0.0288239\pi\)
\(348\) −12.8757 8.13894i −0.690209 0.436293i
\(349\) 15.4110 26.6927i 0.824935 1.42883i −0.0770347 0.997028i \(-0.524545\pi\)
0.901969 0.431800i \(-0.142121\pi\)
\(350\) −7.17662 9.02197i −0.383607 0.482245i
\(351\) 14.9519 + 11.2890i 0.798072 + 0.602563i
\(352\) 1.13290 + 1.96224i 0.0603839 + 0.104588i
\(353\) 17.0077 9.81940i 0.905228 0.522634i 0.0263354 0.999653i \(-0.491616\pi\)
0.878893 + 0.477019i \(0.158283\pi\)
\(354\) −0.749558 + 18.6811i −0.0398385 + 0.992888i
\(355\) 20.2016 + 11.6634i 1.07219 + 0.619028i
\(356\) 8.34716i 0.442399i
\(357\) 6.64811 15.0755i 0.351855 0.797882i
\(358\) 10.9445 6.31879i 0.578433 0.333958i
\(359\) −5.20022 9.00705i −0.274457 0.475374i 0.695541 0.718487i \(-0.255165\pi\)
−0.969998 + 0.243113i \(0.921831\pi\)
\(360\) −8.28949 + 3.93696i −0.436895 + 0.207496i
\(361\) 9.15750 + 15.8613i 0.481974 + 0.834803i
\(362\) 1.79097i 0.0941315i
\(363\) 5.42891 8.58845i 0.284944 0.450777i
\(364\) 7.48213 5.91758i 0.392170 0.310165i
\(365\) 35.1285i 1.83871i
\(366\) −15.4612 9.77332i −0.808172 0.510860i
\(367\) −19.6101 + 11.3219i −1.02364 + 0.590998i −0.915156 0.403101i \(-0.867932\pi\)
−0.108482 + 0.994098i \(0.534599\pi\)
\(368\) 4.62091i 0.240882i
\(369\) −20.0645 13.8392i −1.04452 0.720439i
\(370\) −2.05870 3.56576i −0.107026 0.185375i
\(371\) −3.45539 + 2.74862i −0.179395 + 0.142701i
\(372\) −8.85073 + 14.0017i −0.458889 + 0.725955i
\(373\) −8.39025 + 14.5323i −0.434431 + 0.752456i −0.997249 0.0741246i \(-0.976384\pi\)
0.562818 + 0.826581i \(0.309717\pi\)
\(374\) 4.07327 + 7.05510i 0.210624 + 0.364811i
\(375\) 0.136529 3.40269i 0.00705034 0.175714i
\(376\) −2.73905 + 1.58139i −0.141255 + 0.0815539i
\(377\) −15.7774 27.5049i −0.812575 1.41657i
\(378\) 6.53711 12.0941i 0.336233 0.622051i
\(379\) −3.91399 2.25974i −0.201048 0.116075i 0.396096 0.918209i \(-0.370365\pi\)
−0.597144 + 0.802134i \(0.703698\pi\)
\(380\) 2.53173i 0.129875i
\(381\) −0.0794587 + 0.125702i −0.00407079 + 0.00643993i
\(382\) 8.45391 + 4.88087i 0.432540 + 0.249727i
\(383\) 2.99527 + 1.72932i 0.153051 + 0.0883641i 0.574570 0.818456i \(-0.305169\pi\)
−0.421519 + 0.906820i \(0.638503\pi\)
\(384\) 1.73066 + 0.0694407i 0.0883173 + 0.00354363i
\(385\) −14.3511 + 11.4157i −0.731399 + 0.581799i
\(386\) −9.03423 + 5.21591i −0.459830 + 0.265483i
\(387\) −12.0990 25.4751i −0.615024 1.29497i
\(388\) 7.99888 + 13.8545i 0.406082 + 0.703354i
\(389\) 3.12443 + 1.80389i 0.158415 + 0.0914609i 0.577112 0.816665i \(-0.304180\pi\)
−0.418697 + 0.908126i \(0.637513\pi\)
\(390\) −19.0856 0.819367i −0.966439 0.0414903i
\(391\) 16.6141i 0.840213i
\(392\) −5.11962 4.77383i −0.258580 0.241115i
\(393\) 1.65936 + 3.16031i 0.0837036 + 0.159416i
\(394\) −3.77403 + 6.53681i −0.190133 + 0.329320i
\(395\) −15.4452 8.91731i −0.777134 0.448679i
\(396\) 2.91614 + 6.14011i 0.146542 + 0.308552i
\(397\) 15.1719 26.2786i 0.761458 1.31888i −0.180641 0.983549i \(-0.557817\pi\)
0.942099 0.335335i \(-0.108850\pi\)
\(398\) 12.2381i 0.613439i
\(399\) 2.24018 + 3.06046i 0.112149 + 0.153215i
\(400\) 2.17863 3.77350i 0.108931 0.188675i
\(401\) 33.2182 1.65884 0.829419 0.558627i \(-0.188672\pi\)
0.829419 + 0.558627i \(0.188672\pi\)
\(402\) 6.22931 3.27078i 0.310690 0.163132i
\(403\) −29.9103 + 17.1572i −1.48994 + 0.854659i
\(404\) 3.56996 + 6.18335i 0.177612 + 0.307633i
\(405\) −25.7348 + 9.78047i −1.27877 + 0.485996i
\(406\) −18.2094 + 14.4849i −0.903717 + 0.718871i
\(407\) −2.64120 + 1.52490i −0.130919 + 0.0755863i
\(408\) 6.22246 + 0.249669i 0.308057 + 0.0123605i
\(409\) 15.4590 0.764400 0.382200 0.924080i \(-0.375166\pi\)
0.382200 + 0.924080i \(0.375166\pi\)
\(410\) 24.8534 1.22742
\(411\) −15.5320 0.623206i −0.766139 0.0307405i
\(412\) 1.53644 0.887062i 0.0756948 0.0437024i
\(413\) 26.5718 + 10.4664i 1.30751 + 0.515019i
\(414\) 1.11066 13.8182i 0.0545862 0.679126i
\(415\) −5.80030 10.0464i −0.284725 0.493159i
\(416\) 3.11743 + 1.81152i 0.152845 + 0.0888170i
\(417\) −32.0132 + 16.8090i −1.56769 + 0.823138i
\(418\) −1.87527 −0.0917226
\(419\) 6.78747 11.7562i 0.331590 0.574330i −0.651234 0.758877i \(-0.725748\pi\)
0.982824 + 0.184547i \(0.0590818\pi\)
\(420\) 1.51470 + 13.9359i 0.0739096 + 0.680000i
\(421\) 22.2151i 1.08270i 0.840797 + 0.541350i \(0.182087\pi\)
−0.840797 + 0.541350i \(0.817913\pi\)
\(422\) −3.36247 + 5.82397i −0.163683 + 0.283507i
\(423\) −8.57082 + 4.07057i −0.416727 + 0.197918i
\(424\) −1.44524 0.834408i −0.0701869 0.0405224i
\(425\) 7.83310 13.5673i 0.379961 0.658112i
\(426\) −6.14016 11.6941i −0.297492 0.566583i
\(427\) −21.8660 + 17.3936i −1.05817 + 0.841733i
\(428\) 6.29055i 0.304065i
\(429\) −0.606913 + 14.1369i −0.0293020 + 0.682537i
\(430\) 24.9038 + 14.3782i 1.20097 + 0.693380i
\(431\) 4.40288 + 7.62602i 0.212079 + 0.367332i 0.952365 0.304960i \(-0.0986431\pi\)
−0.740286 + 0.672292i \(0.765310\pi\)
\(432\) 5.15859 + 0.623627i 0.248193 + 0.0300043i
\(433\) −3.16975 + 1.83006i −0.152328 + 0.0879468i −0.574227 0.818696i \(-0.694697\pi\)
0.421898 + 0.906643i \(0.361364\pi\)
\(434\) 15.7516 + 19.8019i 0.756102 + 0.950521i
\(435\) 46.5579 + 1.86808i 2.23228 + 0.0895677i
\(436\) 9.02357 + 5.20976i 0.432151 + 0.249502i
\(437\) 3.31208 + 1.91223i 0.158438 + 0.0914743i
\(438\) 10.6279 16.8131i 0.507819 0.803362i
\(439\) 17.7844i 0.848805i 0.905474 + 0.424402i \(0.139516\pi\)
−0.905474 + 0.424402i \(0.860484\pi\)
\(440\) −6.00243 3.46551i −0.286155 0.165212i
\(441\) −14.1621 15.5060i −0.674384 0.738381i
\(442\) 11.2085 + 6.51318i 0.533134 + 0.309801i
\(443\) 20.0861 11.5967i 0.954319 0.550976i 0.0598990 0.998204i \(-0.480922\pi\)
0.894420 + 0.447228i \(0.147589\pi\)
\(444\) −0.0934678 + 2.32948i −0.00443579 + 0.110552i
\(445\) 12.7668 + 22.1128i 0.605206 + 1.04825i
\(446\) 6.23733 10.8034i 0.295346 0.511555i
\(447\) 1.57607 2.49332i 0.0745456 0.117930i
\(448\) 0.969634 2.46167i 0.0458109 0.116303i
\(449\) −4.03168 6.98308i −0.190267 0.329552i 0.755072 0.655642i \(-0.227602\pi\)
−0.945339 + 0.326090i \(0.894269\pi\)
\(450\) 7.42186 10.7604i 0.349870 0.507252i
\(451\) 18.4091i 0.866853i
\(452\) 7.25521 4.18880i 0.341256 0.197024i
\(453\) −32.5420 20.5704i −1.52896 0.966482i
\(454\) 21.4471i 1.00656i
\(455\) −10.7704 + 27.1203i −0.504923 + 1.27142i
\(456\) −0.765955 + 1.21173i −0.0358691 + 0.0567444i
\(457\) 15.3575i 0.718393i 0.933262 + 0.359197i \(0.116949\pi\)
−0.933262 + 0.359197i \(0.883051\pi\)
\(458\) 11.7463 + 20.3453i 0.548870 + 0.950671i
\(459\) 18.5473 + 2.24221i 0.865716 + 0.104657i
\(460\) 7.06760 + 12.2414i 0.329528 + 0.570760i
\(461\) 1.90360 1.09904i 0.0886596 0.0511876i −0.455015 0.890484i \(-0.650366\pi\)
0.543674 + 0.839296i \(0.317033\pi\)
\(462\) 10.3224 1.12195i 0.480243 0.0521979i
\(463\) 9.47072i 0.440142i −0.975484 0.220071i \(-0.929371\pi\)
0.975484 0.220071i \(-0.0706289\pi\)
\(464\) −7.61619 4.39721i −0.353573 0.204135i
\(465\) 2.03145 50.6295i 0.0942064 2.34789i
\(466\) 11.1727 6.45055i 0.517564 0.298816i
\(467\) −7.74149 13.4087i −0.358234 0.620479i 0.629432 0.777055i \(-0.283288\pi\)
−0.987666 + 0.156577i \(0.949954\pi\)
\(468\) 8.88683 + 6.16638i 0.410794 + 0.285041i
\(469\) −1.58872 10.6293i −0.0733601 0.490814i
\(470\) 4.83741 8.37864i 0.223133 0.386478i
\(471\) 17.3765 + 10.9840i 0.800669 + 0.506117i
\(472\) 10.7942i 0.496844i
\(473\) 10.6501 18.4465i 0.489692 0.848172i
\(474\) 4.69450 + 8.94083i 0.215625 + 0.410666i
\(475\) 1.80312 + 3.12310i 0.0827330 + 0.143298i
\(476\) 3.48625 8.85075i 0.159792 0.405673i
\(477\) −4.12122 2.84255i −0.188698 0.130151i
\(478\) −23.0402 −1.05384
\(479\) 35.7766 20.6556i 1.63467 0.943779i 0.652048 0.758178i \(-0.273910\pi\)
0.982625 0.185601i \(-0.0594233\pi\)
\(480\) −4.69096 + 2.46305i −0.214112 + 0.112422i
\(481\) −2.43832 + 4.19609i −0.111178 + 0.191325i
\(482\) −27.7786 −1.26528
\(483\) −19.3754 8.54427i −0.881609 0.388778i
\(484\) 2.93307 5.08022i 0.133321 0.230919i
\(485\) −42.3803 24.4683i −1.92439 1.11105i
\(486\) 15.2761 + 3.10477i 0.692940 + 0.140835i
\(487\) 2.53448i 0.114848i 0.998350 + 0.0574240i \(0.0182887\pi\)
−0.998350 + 0.0574240i \(0.981711\pi\)
\(488\) −9.14560 5.28021i −0.414002 0.239024i
\(489\) 14.0733 + 8.89595i 0.636415 + 0.402289i
\(490\) 20.8641 + 4.81619i 0.942543 + 0.217573i
\(491\) −22.3657 12.9129i −1.00935 0.582749i −0.0983491 0.995152i \(-0.531356\pi\)
−0.911001 + 0.412403i \(0.864690\pi\)
\(492\) −11.8953 7.51920i −0.536280 0.338992i
\(493\) −27.3835 15.8099i −1.23329 0.712040i
\(494\) −2.58848 + 1.48480i −0.116461 + 0.0668045i
\(495\) −17.1165 11.8058i −0.769327 0.530632i
\(496\) −4.78177 + 8.28226i −0.214708 + 0.371885i
\(497\) −19.9541 + 2.98246i −0.895063 + 0.133782i
\(498\) −0.263342 + 6.56323i −0.0118006 + 0.294105i
\(499\) −24.8498 + 14.3470i −1.11243 + 0.642261i −0.939458 0.342665i \(-0.888670\pi\)
−0.172972 + 0.984927i \(0.555337\pi\)
\(500\) 1.96613i 0.0879278i
\(501\) −36.4973 23.0706i −1.63058 1.03072i
\(502\) 6.68358 + 11.5763i 0.298303 + 0.516676i
\(503\) 14.9785 + 25.9435i 0.667858 + 1.15676i 0.978502 + 0.206238i \(0.0661221\pi\)
−0.310644 + 0.950526i \(0.600545\pi\)
\(504\) 3.49123 7.12821i 0.155512 0.317516i
\(505\) −18.9146 10.9204i −0.841690 0.485950i
\(506\) 9.06735 5.23504i 0.403093 0.232726i
\(507\) 10.3556 + 19.9940i 0.459908 + 0.887967i
\(508\) −0.0429290 + 0.0743552i −0.00190467 + 0.00329898i
\(509\) 12.9462i 0.573832i 0.957956 + 0.286916i \(0.0926301\pi\)
−0.957956 + 0.286916i \(0.907370\pi\)
\(510\) −16.8660 + 8.85572i −0.746840 + 0.392138i
\(511\) −18.9144 23.7779i −0.836723 1.05187i
\(512\) 1.00000 0.0441942
\(513\) −2.58172 + 3.43940i −0.113986 + 0.151853i
\(514\) −2.71126 −0.119588
\(515\) −2.71349 + 4.69990i −0.119571 + 0.207102i
\(516\) −7.56939 14.4161i −0.333224 0.634636i
\(517\) −6.20614 3.58312i −0.272946 0.157585i
\(518\) 3.31343 + 1.30514i 0.145584 + 0.0573444i
\(519\) −3.72549 + 5.89367i −0.163531 + 0.258703i
\(520\) −11.0292 0.0309078i −0.483663 0.00135540i
\(521\) −19.0122 + 32.9301i −0.832940 + 1.44269i 0.0627562 + 0.998029i \(0.480011\pi\)
−0.895696 + 0.444666i \(0.853322\pi\)
\(522\) −21.7182 14.9798i −0.950581 0.655649i
\(523\) 33.5733i 1.46806i −0.679119 0.734028i \(-0.737638\pi\)
0.679119 0.734028i \(-0.262362\pi\)
\(524\) 1.03041 + 1.78473i 0.0450138 + 0.0779662i
\(525\) −11.7938 16.1123i −0.514723 0.703198i
\(526\) 12.7361 7.35317i 0.555319 0.320614i
\(527\) −17.1925 + 29.7783i −0.748917 + 1.29716i
\(528\) 1.82441 + 3.47464i 0.0793971 + 0.151214i
\(529\) 1.64720 0.0716173
\(530\) 5.10485 0.221740
\(531\) −2.59446 + 32.2785i −0.112590 + 1.40077i
\(532\) 1.36317 + 1.71368i 0.0591008 + 0.0742976i
\(533\) −14.5760 25.4105i −0.631356 1.10065i
\(534\) 0.579633 14.4461i 0.0250832 0.625143i
\(535\) −9.62128 16.6645i −0.415964 0.720471i
\(536\) 3.51789 2.03106i 0.151950 0.0877282i
\(537\) 19.3799 10.1757i 0.836305 0.439113i
\(538\) 7.51872 0.324155
\(539\) 3.56740 15.4542i 0.153659 0.665661i
\(540\) −14.6197 + 6.23790i −0.629130 + 0.268436i
\(541\) 1.91892 1.10789i 0.0825009 0.0476319i −0.458182 0.888858i \(-0.651499\pi\)
0.540683 + 0.841226i \(0.318166\pi\)
\(542\) −0.0247852 −0.00106462
\(543\) −0.124366 + 3.09956i −0.00533708 + 0.133015i
\(544\) 3.59543 0.154153
\(545\) −31.8730 −1.36529
\(546\) 13.3599 9.72174i 0.571752 0.416052i
\(547\) 35.2174 1.50579 0.752895 0.658141i \(-0.228657\pi\)
0.752895 + 0.658141i \(0.228657\pi\)
\(548\) −8.97465 −0.383378
\(549\) −26.0795 17.9879i −1.11304 0.767706i
\(550\) 9.87269 0.420973
\(551\) 6.30348 3.63931i 0.268537 0.155040i
\(552\) 0.320879 7.99721i 0.0136575 0.340384i
\(553\) 15.2560 2.28026i 0.648752 0.0969665i
\(554\) 6.18124 0.262616
\(555\) −3.31529 6.31408i −0.140726 0.268018i
\(556\) −18.0789 + 10.4379i −0.766716 + 0.442664i
\(557\) 4.07382 + 7.05607i 0.172613 + 0.298975i 0.939333 0.343007i \(-0.111446\pi\)
−0.766719 + 0.641982i \(0.778112\pi\)
\(558\) −16.2899 + 23.6176i −0.689606 + 0.999812i
\(559\) 0.0949852 33.8947i 0.00401745 1.43359i
\(560\) 1.19638 + 8.00434i 0.0505563 + 0.338245i
\(561\) 6.55952 + 12.4928i 0.276943 + 0.527447i
\(562\) 29.5748 1.24754
\(563\) −21.8949 −0.922761 −0.461380 0.887202i \(-0.652646\pi\)
−0.461380 + 0.887202i \(0.652646\pi\)
\(564\) −4.85016 + 2.54664i −0.204229 + 0.107233i
\(565\) −12.8134 + 22.1934i −0.539063 + 0.933684i
\(566\) 18.3623 10.6015i 0.771824 0.445613i
\(567\) 12.1533 20.4767i 0.510392 0.859942i
\(568\) −3.81286 6.60406i −0.159984 0.277100i
\(569\) 39.3854i 1.65112i 0.564314 + 0.825560i \(0.309141\pi\)
−0.564314 + 0.825560i \(0.690859\pi\)
\(570\) 0.175805 4.38155i 0.00736366 0.183523i
\(571\) −10.0406 + 17.3909i −0.420187 + 0.727786i −0.995958 0.0898257i \(-0.971369\pi\)
0.575770 + 0.817612i \(0.304702\pi\)
\(572\) −0.0228937 + 8.16944i −0.000957235 + 0.341581i
\(573\) 14.2919 + 9.03416i 0.597053 + 0.377407i
\(574\) −16.8228 + 13.3819i −0.702172 + 0.558550i
\(575\) −17.4370 10.0672i −0.727172 0.419833i
\(576\) 2.99036 + 0.240356i 0.124598 + 0.0100148i
\(577\) 10.1331 17.5510i 0.421847 0.730660i −0.574274 0.818663i \(-0.694715\pi\)
0.996120 + 0.0880038i \(0.0280488\pi\)
\(578\) −4.07291 −0.169411
\(579\) −15.9974 + 8.39962i −0.664827 + 0.349076i
\(580\) 26.9018 1.11704
\(581\) 9.33546 + 3.67717i 0.387300 + 0.152555i
\(582\) 12.8813 + 24.5328i 0.533946 + 1.01692i
\(583\) 3.78121i 0.156602i
\(584\) 5.74190 9.94525i 0.237601 0.411538i
\(585\) −32.9738 2.74337i −1.36330 0.113424i
\(586\) 10.1781 5.87631i 0.420452 0.242748i
\(587\) −5.90203 3.40754i −0.243603 0.140644i 0.373229 0.927739i \(-0.378251\pi\)
−0.616831 + 0.787095i \(0.711584\pi\)
\(588\) −8.52881 8.61739i −0.351722 0.355375i
\(589\) −3.95759 6.85474i −0.163070 0.282445i
\(590\) −16.5095 28.5954i −0.679687 1.17725i
\(591\) −6.98547 + 11.0509i −0.287344 + 0.454574i
\(592\) 1.34601i 0.0553206i
\(593\) −30.3893 + 17.5453i −1.24794 + 0.720498i −0.970698 0.240302i \(-0.922754\pi\)
−0.277242 + 0.960800i \(0.589420\pi\)
\(594\) 4.62047 + 10.8289i 0.189580 + 0.444316i
\(595\) 4.30150 + 28.7790i 0.176344 + 1.17982i
\(596\) 0.851501 1.47484i 0.0348788 0.0604119i
\(597\) 0.849821 21.1799i 0.0347808 0.866836i
\(598\) 8.37086 14.4054i 0.342310 0.589080i
\(599\) −3.02800 1.74821i −0.123721 0.0714301i 0.436863 0.899528i \(-0.356090\pi\)
−0.560583 + 0.828098i \(0.689423\pi\)
\(600\) 4.03250 6.37935i 0.164626 0.260436i
\(601\) −30.2974 17.4922i −1.23586 0.713521i −0.267611 0.963527i \(-0.586234\pi\)
−0.968244 + 0.250006i \(0.919567\pi\)
\(602\) −24.5987 + 3.67668i −1.00257 + 0.149850i
\(603\) 11.0079 5.22803i 0.448277 0.212902i
\(604\) −19.2492 11.1135i −0.783239 0.452203i
\(605\) 17.9443i 0.729539i
\(606\) 5.74900 + 10.9492i 0.233537 + 0.444779i
\(607\) −15.1664 8.75631i −0.615584 0.355408i 0.159564 0.987188i \(-0.448991\pi\)
−0.775148 + 0.631780i \(0.782325\pi\)
\(608\) −0.413821 + 0.716759i −0.0167826 + 0.0290684i
\(609\) −32.5201 + 23.8039i −1.31778 + 0.964581i
\(610\) 32.3040 1.30795
\(611\) −11.4035 0.0319568i −0.461337 0.00129283i
\(612\) 10.7516 + 0.864184i 0.434608 + 0.0349326i
\(613\) 11.5436 6.66471i 0.466242 0.269185i −0.248423 0.968652i \(-0.579912\pi\)
0.714665 + 0.699467i \(0.246579\pi\)
\(614\) −12.2431 −0.494090
\(615\) 43.0127 + 1.72584i 1.73444 + 0.0695925i
\(616\) 5.92889 0.886170i 0.238882 0.0357048i
\(617\) 16.4579 + 28.5059i 0.662569 + 1.14760i 0.979938 + 0.199301i \(0.0638673\pi\)
−0.317369 + 0.948302i \(0.602799\pi\)
\(618\) 2.72064 1.42851i 0.109440 0.0574631i
\(619\) 3.67239 6.36076i 0.147606 0.255661i −0.782736 0.622353i \(-0.786177\pi\)
0.930342 + 0.366693i \(0.119510\pi\)
\(620\) 29.2545i 1.17489i
\(621\) 2.88172 23.8374i 0.115640 0.956562i
\(622\) −4.81504 + 8.33990i −0.193066 + 0.334399i
\(623\) −20.5479 8.09369i −0.823236 0.324267i
\(624\) 5.26942 + 3.35160i 0.210946 + 0.134171i
\(625\) 13.9003 + 24.0760i 0.556012 + 0.963041i
\(626\) 12.0523 6.95841i 0.481707 0.278114i
\(627\) −3.24546 0.130220i −0.129611 0.00520050i
\(628\) 10.2785 + 5.93431i 0.410158 + 0.236805i
\(629\) 4.83947i 0.192962i
\(630\) 1.65371 + 24.2234i 0.0658852 + 0.965083i
\(631\) −23.3905 + 13.5045i −0.931159 + 0.537605i −0.887178 0.461427i \(-0.847338\pi\)
−0.0439813 + 0.999032i \(0.514004\pi\)
\(632\) 2.91514 + 5.04917i 0.115958 + 0.200845i
\(633\) −6.22371 + 9.84581i −0.247370 + 0.391336i
\(634\) −11.8204 20.4735i −0.469448 0.813108i
\(635\) 0.262636i 0.0104224i
\(636\) −2.44327 1.54443i −0.0968819 0.0612408i
\(637\) −7.31219 24.1564i −0.289719 0.957112i
\(638\) 19.9264i 0.788895i
\(639\) −9.81447 20.6649i −0.388254 0.817492i
\(640\) −2.64914 + 1.52948i −0.104716 + 0.0604581i
\(641\) 20.7741i 0.820526i −0.911967 0.410263i \(-0.865437\pi\)
0.911967 0.410263i \(-0.134563\pi\)
\(642\) −0.436820 + 10.8868i −0.0172399 + 0.429667i
\(643\) 0.127258 + 0.220417i 0.00501857 + 0.00869242i 0.868524 0.495647i \(-0.165069\pi\)
−0.863505 + 0.504340i \(0.831736\pi\)
\(644\) −11.3751 4.48059i −0.448243 0.176560i
\(645\) 42.1016 + 26.6132i 1.65775 + 1.04789i
\(646\) −1.48786 + 2.57705i −0.0585392 + 0.101393i
\(647\) 12.2158 + 21.1583i 0.480251 + 0.831819i 0.999743 0.0226559i \(-0.00721223\pi\)
−0.519492 + 0.854475i \(0.673879\pi\)
\(648\) 8.88446 + 1.43750i 0.349014 + 0.0564704i
\(649\) −21.1809 + 12.2288i −0.831422 + 0.480022i
\(650\) 13.6275 7.81700i 0.534514 0.306608i
\(651\) 25.8856 + 35.3641i 1.01454 + 1.38603i
\(652\) 8.32458 + 4.80620i 0.326016 + 0.188225i
\(653\) 0.782789i 0.0306329i 0.999883 + 0.0153164i \(0.00487557\pi\)
−0.999883 + 0.0153164i \(0.995124\pi\)
\(654\) 15.2550 + 9.64292i 0.596516 + 0.377068i
\(655\) −5.45942 3.15200i −0.213317 0.123159i
\(656\) −7.03626 4.06239i −0.274720 0.158610i
\(657\) 19.5607 28.3597i 0.763136 1.10642i
\(658\) 1.23698 + 8.27599i 0.0482226 + 0.322632i
\(659\) 37.5123 21.6577i 1.46127 0.843666i 0.462202 0.886775i \(-0.347060\pi\)
0.999070 + 0.0431091i \(0.0137263\pi\)
\(660\) −10.1475 6.41442i −0.394991 0.249681i
\(661\) 6.51294 + 11.2807i 0.253324 + 0.438770i 0.964439 0.264306i \(-0.0851428\pi\)
−0.711115 + 0.703076i \(0.751809\pi\)
\(662\) 13.0461 + 7.53219i 0.507053 + 0.292747i
\(663\) 18.9458 + 12.0504i 0.735795 + 0.468000i
\(664\) 3.79233i 0.147171i
\(665\) −6.23227 2.45485i −0.241677 0.0951949i
\(666\) −0.323522 + 4.02504i −0.0125362 + 0.155967i
\(667\) −20.3191 + 35.1937i −0.786759 + 1.36271i
\(668\) −21.5888 12.4643i −0.835296 0.482258i
\(669\) 11.5449 18.2638i 0.446351 0.706120i
\(670\) −6.21292 + 10.7611i −0.240026 + 0.415738i
\(671\) 23.9279i 0.923725i
\(672\) 1.84905 4.19297i 0.0713285 0.161747i
\(673\) −16.1195 + 27.9199i −0.621363 + 1.07623i 0.367869 + 0.929877i \(0.380087\pi\)
−0.989232 + 0.146355i \(0.953246\pi\)
\(674\) −9.93070 −0.382516
\(675\) 13.5919 18.1073i 0.523153 0.696950i
\(676\) 6.43680 + 11.2946i 0.247569 + 0.434407i
\(677\) −12.3401 21.3737i −0.474268 0.821457i 0.525298 0.850919i \(-0.323954\pi\)
−0.999566 + 0.0294618i \(0.990621\pi\)
\(678\) 12.8472 6.74557i 0.493392 0.259062i
\(679\) 41.8611 6.25683i 1.60648 0.240115i
\(680\) −9.52479 + 5.49914i −0.365259 + 0.210882i
\(681\) −1.48931 + 37.1177i −0.0570703 + 1.42235i
\(682\) −21.6691 −0.829752
\(683\) −16.2437 −0.621546 −0.310773 0.950484i \(-0.600588\pi\)
−0.310773 + 0.950484i \(0.600588\pi\)
\(684\) −1.40975 + 2.04390i −0.0539031 + 0.0781504i
\(685\) 23.7751 13.7266i 0.908400 0.524465i
\(686\) −16.7158 + 7.97393i −0.638210 + 0.304446i
\(687\) 18.9161 + 36.0264i 0.721694 + 1.37449i
\(688\) −4.70036 8.14127i −0.179200 0.310383i
\(689\) −2.99389 5.21929i −0.114058 0.198839i
\(690\) 11.3815 + 21.6765i 0.433288 + 0.825211i
\(691\) −16.1544 −0.614541 −0.307271 0.951622i \(-0.599416\pi\)
−0.307271 + 0.951622i \(0.599416\pi\)
\(692\) −2.01276 + 3.48621i −0.0765138 + 0.132526i
\(693\) 17.9425 1.22492i 0.681579 0.0465307i
\(694\) 3.36902i 0.127886i
\(695\) 31.9290 55.3027i 1.21114 2.09775i
\(696\) −12.8757 8.13894i −0.488051 0.308506i
\(697\) −25.2984 14.6060i −0.958243 0.553242i
\(698\) 15.4110 26.6927i 0.583317 1.01033i
\(699\) 19.7840 10.3879i 0.748301 0.392905i
\(700\) −7.17662 9.02197i −0.271251 0.340998i
\(701\) 36.9386i 1.39515i 0.716510 + 0.697577i \(0.245738\pi\)
−0.716510 + 0.697577i \(0.754262\pi\)
\(702\) 14.9519 + 11.2890i 0.564322 + 0.426076i
\(703\) −0.964763 0.557006i −0.0363867 0.0210079i
\(704\) 1.13290 + 1.96224i 0.0426979 + 0.0739549i
\(705\) 8.95372 14.1646i 0.337217 0.533471i
\(706\) 17.0077 9.81940i 0.640093 0.369558i
\(707\) 18.6829 2.79247i 0.702643 0.105021i
\(708\) −0.749558 + 18.6811i −0.0281701 + 0.702078i
\(709\) −2.33135 1.34600i −0.0875556 0.0505502i 0.455583 0.890193i \(-0.349431\pi\)
−0.543139 + 0.839643i \(0.682764\pi\)
\(710\) 20.2016 + 11.6634i 0.758152 + 0.437719i
\(711\) 7.50371 + 15.7995i 0.281411 + 0.592528i
\(712\) 8.34716i 0.312823i
\(713\) 38.2716 + 22.0961i 1.43328 + 0.827506i
\(714\) 6.64811 15.0755i 0.248799 0.564188i
\(715\) −12.4344 21.6770i −0.465019 0.810674i
\(716\) 10.9445 6.31879i 0.409014 0.236144i
\(717\) −39.8748 1.59993i −1.48915 0.0597505i
\(718\) −5.20022 9.00705i −0.194071 0.336140i
\(719\) 9.62506 16.6711i 0.358954 0.621727i −0.628832 0.777541i \(-0.716467\pi\)
0.987786 + 0.155814i \(0.0498001\pi\)
\(720\) −8.28949 + 3.93696i −0.308931 + 0.146722i
\(721\) −0.693871 4.64232i −0.0258411 0.172889i
\(722\) 9.15750 + 15.8613i 0.340807 + 0.590295i
\(723\) −48.0752 1.92896i −1.78794 0.0717390i
\(724\) 1.79097i 0.0665610i
\(725\) −33.1857 + 19.1598i −1.23249 + 0.711577i
\(726\) 5.42891 8.58845i 0.201486 0.318747i
\(727\) 29.4029i 1.09049i 0.838276 + 0.545246i \(0.183564\pi\)
−0.838276 + 0.545246i \(0.816436\pi\)
\(728\) 7.48213 5.91758i 0.277306 0.219320i
\(729\) 26.2222 + 6.43408i 0.971192 + 0.238299i
\(730\) 35.1285i 1.30016i
\(731\) −16.8998 29.2713i −0.625062 1.08264i
\(732\) −15.4612 9.77332i −0.571464 0.361232i
\(733\) −13.5812 23.5234i −0.501635 0.868857i −0.999998 0.00188874i \(-0.999399\pi\)
0.498363 0.866968i \(-0.333935\pi\)
\(734\) −19.6101 + 11.3219i −0.723821 + 0.417898i
\(735\) 35.7742 + 9.78400i 1.31955 + 0.360888i
\(736\) 4.62091i 0.170329i
\(737\) 7.97085 + 4.60197i 0.293610 + 0.169516i
\(738\) −20.0645 13.8392i −0.738584 0.509428i
\(739\) 15.9336 9.19930i 0.586129 0.338402i −0.177437 0.984132i \(-0.556780\pi\)
0.763565 + 0.645731i \(0.223447\pi\)
\(740\) −2.05870 3.56576i −0.0756791 0.131080i
\(741\) −4.58288 + 2.38994i −0.168356 + 0.0877967i
\(742\) −3.45539 + 2.74862i −0.126851 + 0.100905i
\(743\) −16.4058 + 28.4156i −0.601869 + 1.04247i 0.390669 + 0.920531i \(0.372244\pi\)
−0.992538 + 0.121937i \(0.961089\pi\)
\(744\) −8.85073 + 14.0017i −0.324484 + 0.513328i
\(745\) 5.20942i 0.190858i
\(746\) −8.39025 + 14.5323i −0.307189 + 0.532067i
\(747\) −0.911511 + 11.3404i −0.0333504 + 0.414924i
\(748\) 4.07327 + 7.05510i 0.148933 + 0.257960i
\(749\) 15.4852 + 6.09953i 0.565818 + 0.222872i
\(750\) 0.136529 3.40269i 0.00498534 0.124249i
\(751\) 11.4802 0.418917 0.209459 0.977818i \(-0.432830\pi\)
0.209459 + 0.977818i \(0.432830\pi\)
\(752\) −2.73905 + 1.58139i −0.0998827 + 0.0576673i
\(753\) 10.7631 + 20.4987i 0.392230 + 0.747015i
\(754\) −15.7774 27.5049i −0.574577 1.00167i
\(755\) 67.9918 2.47447
\(756\) 6.53711 12.0941i 0.237752 0.439857i
\(757\) −6.81712 + 11.8076i −0.247772 + 0.429154i −0.962907 0.269832i \(-0.913032\pi\)
0.715135 + 0.698986i \(0.246365\pi\)
\(758\) −3.91399 2.25974i −0.142163 0.0820776i
\(759\) 16.0560 8.43042i 0.582796 0.306005i
\(760\) 2.53173i 0.0918353i
\(761\) −29.4337 16.9936i −1.06697 0.616016i −0.139619 0.990205i \(-0.544588\pi\)
−0.927352 + 0.374189i \(0.877921\pi\)
\(762\) −0.0794587 + 0.125702i −0.00287848 + 0.00455372i
\(763\) 21.5743 17.1615i 0.781041 0.621287i
\(764\) 8.45391 + 4.88087i 0.305852 + 0.176584i
\(765\) −29.8043 + 14.1550i −1.07758 + 0.511777i
\(766\) 2.99527 + 1.72932i 0.108223 + 0.0624828i
\(767\) −19.5539 + 33.6502i −0.706051 + 1.21504i
\(768\) 1.73066 + 0.0694407i 0.0624498 + 0.00250573i
\(769\) 19.7746 34.2506i 0.713090 1.23511i −0.250602 0.968090i \(-0.580628\pi\)
0.963692 0.267018i \(-0.0860382\pi\)
\(770\) −14.3511 + 11.4157i −0.517177 + 0.411394i
\(771\) −4.69226 0.188272i −0.168988 0.00678044i
\(772\) −9.03423 + 5.21591i −0.325149 + 0.187725i
\(773\) 8.09302i 0.291086i 0.989352 + 0.145543i \(0.0464929\pi\)
−0.989352 + 0.145543i \(0.953507\pi\)
\(774\) −12.0990 25.4751i −0.434888 0.915682i