Properties

Label 546.2.bi.e.257.11
Level $546$
Weight $2$
Character 546.257
Analytic conductor $4.360$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

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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 257.11
Character \(\chi\) \(=\) 546.257
Dual form 546.2.bi.e.17.11

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000 q^{2} +(0.805192 + 1.53351i) q^{3} +1.00000 q^{4} +(2.64914 + 1.52948i) q^{5} +(-0.805192 - 1.53351i) q^{6} +(0.969634 + 2.46167i) q^{7} -1.00000 q^{8} +(-1.70333 + 2.46955i) q^{9} +O(q^{10})\) \(q-1.00000 q^{2} +(0.805192 + 1.53351i) q^{3} +1.00000 q^{4} +(2.64914 + 1.52948i) q^{5} +(-0.805192 - 1.53351i) q^{6} +(0.969634 + 2.46167i) q^{7} -1.00000 q^{8} +(-1.70333 + 2.46955i) q^{9} +(-2.64914 - 1.52948i) q^{10} +(-1.13290 + 1.96224i) q^{11} +(0.805192 + 1.53351i) q^{12} +(3.11743 - 1.81152i) q^{13} +(-0.969634 - 2.46167i) q^{14} +(-0.212417 + 5.29402i) q^{15} +1.00000 q^{16} -3.59543 q^{17} +(1.70333 - 2.46955i) q^{18} +(-0.413821 - 0.716759i) q^{19} +(2.64914 + 1.52948i) q^{20} +(-2.99426 + 3.46906i) q^{21} +(1.13290 - 1.96224i) q^{22} -4.62091i q^{23} +(-0.805192 - 1.53351i) 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} +(0.212417 - 5.29402i) q^{30} +(-4.78177 - 8.28226i) q^{31} -1.00000 q^{32} +(-3.92133 - 0.157339i) q^{33} +3.59543 q^{34} +(-1.19638 + 8.00434i) q^{35} +(-1.70333 + 2.46955i) q^{36} -1.34601i q^{37} +(0.413821 + 0.716759i) q^{38} +(5.28812 + 3.32201i) q^{39} +(-2.64914 - 1.52948i) q^{40} +(7.03626 - 4.06239i) q^{41} +(2.99426 - 3.46906i) 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} +(0.805192 + 1.53351i) q^{48} +(-5.11962 + 4.77383i) q^{49} +(-2.17863 - 3.77350i) q^{50} +(-2.89501 - 5.51364i) 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} +(-0.212417 + 5.29402i) q^{60} +(-9.14560 + 5.28021i) q^{61} +(4.78177 + 8.28226i) q^{62} +(-7.73081 - 1.79848i) q^{63} +1.00000 q^{64} +(11.0292 - 0.0309078i) q^{65} +(3.92133 + 0.157339i) q^{66} +(3.51789 + 2.03106i) q^{67} -3.59543 q^{68} +(7.08623 - 3.72072i) q^{69} +(1.19638 - 8.00434i) q^{70} +(3.81286 - 6.60406i) q^{71} +(1.70333 - 2.46955i) 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} +(-5.28812 - 3.32201i) q^{78} +(2.91514 - 5.04917i) q^{79} +(2.64914 + 1.52948i) q^{80} +(-3.19732 - 8.41292i) q^{81} +(-7.03626 + 4.06239i) q^{82} +3.79233i q^{83} +(-2.99426 + 3.46906i) 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} +(-0.805192 - 1.53351i) q^{96} +(7.99888 - 13.8545i) q^{97} +(5.11962 - 4.77383i) q^{98} +(-2.91614 - 6.14011i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 34q^{2} + 3q^{3} + 34q^{4} - 9q^{5} - 3q^{6} + 4q^{7} - 34q^{8} - 11q^{9} + O(q^{10}) \) \( 34q - 34q^{2} + 3q^{3} + 34q^{4} - 9q^{5} - 3q^{6} + 4q^{7} - 34q^{8} - 11q^{9} + 9q^{10} - 9q^{11} + 3q^{12} + 8q^{13} - 4q^{14} - 4q^{15} + 34q^{16} - 12q^{17} + 11q^{18} - 5q^{19} - 9q^{20} + 4q^{21} + 9q^{22} - 3q^{24} + 16q^{25} - 8q^{26} + 18q^{27} + 4q^{28} - 27q^{29} + 4q^{30} - q^{31} - 34q^{32} + 21q^{33} + 12q^{34} + 3q^{35} - 11q^{36} + 5q^{38} + 7q^{39} + 9q^{40} + 3q^{41} - 4q^{42} - 3q^{43} - 9q^{44} + 9q^{45} + 27q^{47} + 3q^{48} - 2q^{49} - 16q^{50} + 24q^{51} + 8q^{52} + 21q^{53} - 18q^{54} - 57q^{55} - 4q^{56} + 17q^{57} + 27q^{58} - 4q^{60} - 51q^{61} + q^{62} + 3q^{63} + 34q^{64} + 21q^{65} - 21q^{66} - 21q^{67} - 12q^{68} + 42q^{69} - 3q^{70} + 15q^{71} + 11q^{72} - 19q^{73} + 54q^{75} - 5q^{76} - 9q^{77} - 7q^{78} - 9q^{79} - 9q^{80} - 23q^{81} - 3q^{82} + 4q^{84} - 42q^{85} + 3q^{86} + 81q^{87} + 9q^{88} - 9q^{90} - 72q^{91} + 17q^{93} - 27q^{94} - 3q^{96} + 19q^{97} + 2q^{98} + 27q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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
\(3\) 0.805192 + 1.53351i 0.464878 + 0.885375i
\(4\) 1.00000 0.500000
\(5\) 2.64914 + 1.52948i 1.18473 + 0.684005i 0.957104 0.289743i \(-0.0935700\pi\)
0.227627 + 0.973748i \(0.426903\pi\)
\(6\) −0.805192 1.53351i −0.328718 0.626055i
\(7\) 0.969634 + 2.46167i 0.366487 + 0.930423i
\(8\) −1.00000 −0.353553
\(9\) −1.70333 + 2.46955i −0.567778 + 0.823182i
\(10\) −2.64914 1.52948i −0.837732 0.483665i
\(11\) −1.13290 + 1.96224i −0.341583 + 0.591639i −0.984727 0.174106i \(-0.944296\pi\)
0.643144 + 0.765745i \(0.277630\pi\)
\(12\) 0.805192 + 1.53351i 0.232439 + 0.442687i
\(13\) 3.11743 1.81152i 0.864621 0.502425i
\(14\) −0.969634 2.46167i −0.259146 0.657908i
\(15\) −0.212417 + 5.29402i −0.0548458 + 1.36691i
\(16\) 1.00000 0.250000
\(17\) −3.59543 −0.872019 −0.436010 0.899942i \(-0.643609\pi\)
−0.436010 + 0.899942i \(0.643609\pi\)
\(18\) 1.70333 2.46955i 0.401479 0.582078i
\(19\) −0.413821 0.716759i −0.0949370 0.164436i 0.814645 0.579959i \(-0.196932\pi\)
−0.909582 + 0.415524i \(0.863598\pi\)
\(20\) 2.64914 + 1.52948i 0.592366 + 0.342003i
\(21\) −2.99426 + 3.46906i −0.653402 + 0.757012i
\(22\) 1.13290 1.96224i 0.241536 0.418352i
\(23\) 4.62091i 0.963526i −0.876302 0.481763i \(-0.839997\pi\)
0.876302 0.481763i \(-0.160003\pi\)
\(24\) −0.805192 1.53351i −0.164359 0.313027i
\(25\) 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 \(-0.362555\pi\)
0.995789 + 0.0916739i \(0.0292218\pi\)
\(30\) 0.212417 5.29402i 0.0387818 0.966551i
\(31\) −4.78177 8.28226i −0.858831 1.48754i −0.873045 0.487639i \(-0.837858\pi\)
0.0142145 0.999899i \(-0.495475\pi\)
\(32\) −1.00000 −0.176777
\(33\) −3.92133 0.157339i −0.682616 0.0273892i
\(34\) 3.59543 0.616611
\(35\) −1.19638 + 8.00434i −0.202225 + 1.35298i
\(36\) −1.70333 + 2.46955i −0.283889 + 0.411591i
\(37\) 1.34601i 0.221282i −0.993860 0.110641i \(-0.964710\pi\)
0.993860 0.110641i \(-0.0352904\pi\)
\(38\) 0.413821 + 0.716759i 0.0671306 + 0.116274i
\(39\) 5.28812 + 3.32201i 0.846777 + 0.531947i
\(40\) −2.64914 1.52948i −0.418866 0.241832i
\(41\) 7.03626 4.06239i 1.09888 0.634438i 0.162953 0.986634i \(-0.447898\pi\)
0.935926 + 0.352196i \(0.114565\pi\)
\(42\) 2.99426 3.46906i 0.462025 0.535288i
\(43\) −4.70036 + 8.14127i −0.716799 + 1.24153i 0.245463 + 0.969406i \(0.421060\pi\)
−0.962262 + 0.272126i \(0.912273\pi\)
\(44\) −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 \(-0.259242\pi\)
−0.286751 + 0.958005i \(0.592575\pi\)
\(48\) 0.805192 + 1.53351i 0.116219 + 0.221344i
\(49\) −5.11962 + 4.77383i −0.731374 + 0.681976i
\(50\) −2.17863 3.77350i −0.308105 0.533653i
\(51\) −2.89501 5.51364i −0.405382 0.772064i
\(52\) 3.11743 1.81152i 0.432310 0.251212i
\(53\) 1.44524 0.834408i 0.198519 0.114615i −0.397446 0.917626i \(-0.630103\pi\)
0.595964 + 0.803011i \(0.296770\pi\)
\(54\) 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 \(0.752003\pi\)
\(60\) −0.212417 + 5.29402i −0.0274229 + 0.683455i
\(61\) −9.14560 + 5.28021i −1.17097 + 0.676062i −0.953909 0.300095i \(-0.902982\pi\)
−0.217065 + 0.976157i \(0.569648\pi\)
\(62\) 4.78177 + 8.28226i 0.607285 + 1.05185i
\(63\) −7.73081 1.79848i −0.973991 0.226588i
\(64\) 1.00000 0.125000
\(65\) 11.0292 0.0309078i 1.36800 0.00383365i
\(66\) 3.92133 + 0.157339i 0.482683 + 0.0193671i
\(67\) 3.51789 + 2.03106i 0.429779 + 0.248133i 0.699252 0.714875i \(-0.253516\pi\)
−0.269474 + 0.963008i \(0.586850\pi\)
\(68\) −3.59543 −0.436010
\(69\) 7.08623 3.72072i 0.853082 0.447922i
\(70\) 1.19638 8.00434i 0.142995 0.956702i
\(71\) 3.81286 6.60406i 0.452503 0.783758i −0.546038 0.837760i \(-0.683865\pi\)
0.998541 + 0.0540027i \(0.0171980\pi\)
\(72\) 1.70333 2.46955i 0.200740 0.291039i
\(73\) 5.74190 + 9.94525i 0.672038 + 1.16400i 0.977325 + 0.211744i \(0.0679142\pi\)
−0.305287 + 0.952260i \(0.598752\pi\)
\(74\) 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
\(78\) −5.28812 3.32201i −0.598762 0.376144i
\(79\) 2.91514 5.04917i 0.327979 0.568077i −0.654132 0.756381i \(-0.726966\pi\)
0.982111 + 0.188304i \(0.0602991\pi\)
\(80\) 2.64914 + 1.52948i 0.296183 + 0.171001i
\(81\) −3.19732 8.41292i −0.355257 0.934769i
\(82\) −7.03626 + 4.06239i −0.777025 + 0.448615i
\(83\) 3.79233i 0.416262i 0.978101 + 0.208131i \(0.0667381\pi\)
−0.978101 + 0.208131i \(0.933262\pi\)
\(84\) −2.99426 + 3.46906i −0.326701 + 0.378506i
\(85\) −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
\(96\) −0.805192 1.53351i −0.0821795 0.156514i
\(97\) 7.99888 13.8545i 0.812164 1.40671i −0.0991832 0.995069i \(-0.531623\pi\)
0.911347 0.411639i \(-0.135044\pi\)
\(98\) 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 \(-0.948929\pi\)
0.631932 + 0.775024i \(0.282262\pi\)
\(102\) 2.89501 + 5.51364i 0.286648 + 0.545932i
\(103\) 1.53644 + 0.887062i 0.151390 + 0.0874048i 0.573781 0.819009i \(-0.305476\pi\)
−0.422392 + 0.906413i \(0.638809\pi\)
\(104\) −3.11743 + 1.81152i −0.305690 + 0.177634i
\(105\) −13.2381 + 4.61036i −1.29191 + 0.449925i
\(106\) −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 −0.00114874 0.999999i \(-0.500366\pi\)
0.865450 + 0.500995i \(0.167032\pi\)
\(110\) 6.00243 3.46551i 0.572309 0.330423i
\(111\) 2.06412 1.08379i 0.195918 0.102869i
\(112\) 0.969634 + 2.46167i 0.0916218 + 0.232606i
\(113\) −7.25521 4.18880i −0.682513 0.394049i 0.118288 0.992979i \(-0.462259\pi\)
−0.800801 + 0.598930i \(0.795593\pi\)
\(114\) −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
\(117\) −0.836399 + 10.7843i −0.0773251 + 0.997006i
\(118\) 10.7942i 0.993687i
\(119\) −3.48625 8.85075i −0.319584 0.811347i
\(120\) 0.212417 5.29402i 0.0193909 0.483276i
\(121\) 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
\(126\) 7.73081 + 1.79848i 0.688715 + 0.160222i
\(127\) −0.0429290 0.0743552i −0.00380933 0.00659795i 0.864114 0.503295i \(-0.167879\pi\)
−0.867924 + 0.496697i \(0.834546\pi\)
\(128\) −1.00000 −0.0883883
\(129\) −16.2694 0.652793i −1.43244 0.0574753i
\(130\) −11.0292 + 0.0309078i −0.967325 + 0.00271080i
\(131\) −1.03041 + 1.78473i −0.0900276 + 0.155932i −0.907523 0.420003i \(-0.862029\pi\)
0.817495 + 0.575936i \(0.195362\pi\)
\(132\) −3.92133 0.157339i −0.341308 0.0136946i
\(133\) 1.36317 1.71368i 0.118202 0.148595i
\(134\) −3.51789 2.03106i −0.303900 0.175456i
\(135\) −12.7120 9.54205i −1.09408 0.821249i
\(136\) 3.59543 0.308305
\(137\) 8.97465 0.766756 0.383378 0.923592i \(-0.374761\pi\)
0.383378 + 0.923592i \(0.374761\pi\)
\(138\) −7.08623 + 3.72072i −0.603220 + 0.316729i
\(139\) −18.0789 10.4379i −1.53343 0.885328i −0.999200 0.0399902i \(-0.987267\pi\)
−0.534233 0.845338i \(-0.679399\pi\)
\(140\) −1.19638 + 8.00434i −0.101113 + 0.676490i
\(141\) −0.219626 + 5.47369i −0.0184958 + 0.460968i
\(142\) −3.81286 + 6.60406i −0.319968 + 0.554200i
\(143\) 0.0228937 + 8.16944i 0.00191447 + 0.683163i
\(144\) −1.70333 + 2.46955i −0.141944 + 0.205796i
\(145\) 26.9018 2.23407
\(146\) −5.74190 9.94525i −0.475203 0.823075i
\(147\) −11.4430 4.00716i −0.943804 0.330505i
\(148\) 1.34601i 0.110641i
\(149\) −0.851501 1.47484i −0.0697576 0.120824i 0.829037 0.559194i \(-0.188889\pi\)
−0.898795 + 0.438370i \(0.855556\pi\)
\(150\) 4.03250 6.37935i 0.329252 0.520871i
\(151\) −19.2492 + 11.1135i −1.56648 + 0.904406i −0.569902 + 0.821712i \(0.693019\pi\)
−0.996575 + 0.0826936i \(0.973648\pi\)
\(152\) 0.413821 + 0.716759i 0.0335653 + 0.0581368i
\(153\) 6.12421 8.87907i 0.495113 0.717830i
\(154\) 5.92889 + 0.886170i 0.477764 + 0.0714096i
\(155\) 29.2545i 2.34978i
\(156\) 5.28812 + 3.32201i 0.423389 + 0.265974i
\(157\) 10.2785 5.93431i 0.820316 0.473610i −0.0302095 0.999544i \(-0.509617\pi\)
0.850525 + 0.525934i \(0.176284\pi\)
\(158\) −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
\(162\) 3.19732 + 8.41292i 0.251205 + 0.660981i
\(163\) 8.32458 4.80620i 0.652031 0.376451i −0.137203 0.990543i \(-0.543811\pi\)
0.789234 + 0.614092i \(0.210478\pi\)
\(164\) 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 0.703285 0.710908i \(-0.251716\pi\)
0.967307 0.253608i \(-0.0816174\pi\)
\(168\) 2.99426 3.46906i 0.231012 0.267644i
\(169\) 6.43680 11.2946i 0.495138 0.868814i
\(170\) 9.52479 + 5.49914i 0.730518 + 0.421765i
\(171\) 2.47494 + 0.198929i 0.189264 + 0.0152125i
\(172\) −4.70036 + 8.14127i −0.358399 + 0.620766i
\(173\) 2.01276 + 3.48621i 0.153028 + 0.265051i 0.932339 0.361585i \(-0.117764\pi\)
−0.779312 + 0.626637i \(0.784431\pi\)
\(174\) −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
\(177\) −16.5531 + 8.69141i −1.24421 + 0.653286i
\(178\) 8.34716i 0.625646i
\(179\) −10.9445 6.31879i −0.818028 0.472289i 0.0317081 0.999497i \(-0.489905\pi\)
−0.849736 + 0.527209i \(0.823239\pi\)
\(180\) −8.28949 + 3.93696i −0.617862 + 0.293443i
\(181\) 1.79097i 0.133122i −0.997782 0.0665610i \(-0.978797\pi\)
0.997782 0.0665610i \(-0.0212027\pi\)
\(182\) −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
\(189\) −3.46679 13.3034i −0.252172 0.967683i
\(190\) 2.53173i 0.183671i
\(191\) −8.45391 + 4.88087i −0.611703 + 0.353167i −0.773632 0.633635i \(-0.781562\pi\)
0.161928 + 0.986803i \(0.448229\pi\)
\(192\) 0.805192 + 1.53351i 0.0581097 + 0.110672i
\(193\) −9.03423 5.21591i −0.650298 0.375450i 0.138272 0.990394i \(-0.455845\pi\)
−0.788570 + 0.614945i \(0.789178\pi\)
\(194\) −7.99888 + 13.8545i −0.574286 + 0.994693i
\(195\) 8.92802 + 16.8886i 0.639349 + 1.20941i
\(196\) −5.11962 + 4.77383i −0.365687 + 0.340988i
\(197\) 3.77403 + 6.53681i 0.268888 + 0.465728i 0.968575 0.248721i \(-0.0800104\pi\)
−0.699687 + 0.714450i \(0.746677\pi\)
\(198\) 2.91614 + 6.14011i 0.207241 + 0.436358i
\(199\) 12.2381i 0.867534i 0.901025 + 0.433767i \(0.142816\pi\)
−0.901025 + 0.433767i \(0.857184\pi\)
\(200\) −2.17863 3.77350i −0.154052 0.266826i
\(201\) −0.282076 + 7.03013i −0.0198961 + 0.495867i
\(202\) 3.56996 6.18335i 0.251181 0.435059i
\(203\) 18.2094 + 14.4849i 1.27805 + 1.01664i
\(204\) −2.89501 5.51364i −0.202691 0.386032i
\(205\) 24.8534 1.73584
\(206\) −1.53644 0.887062i −0.107049 0.0618045i
\(207\) 11.4115 + 7.87095i 0.793157 + 0.547069i
\(208\) 3.11743 1.81152i 0.216155 0.125606i
\(209\) 1.87527 0.129715
\(210\) 13.2381 4.61036i 0.913515 0.318145i
\(211\) −3.36247 5.82397i −0.231482 0.400939i 0.726762 0.686889i \(-0.241024\pi\)
−0.958244 + 0.285950i \(0.907691\pi\)
\(212\) 1.44524 0.834408i 0.0992593 0.0573074i
\(213\) 13.1975 + 0.529535i 0.904278 + 0.0362831i
\(214\) 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
\(222\) −2.06412 + 1.08379i −0.138535 + 0.0727395i
\(223\) 6.23733 + 10.8034i 0.417683 + 0.723448i 0.995706 0.0925727i \(-0.0295091\pi\)
−0.578023 + 0.816020i \(0.696176\pi\)
\(224\) −0.969634 2.46167i −0.0647864 0.164477i
\(225\) −13.0298 1.04729i −0.868650 0.0698196i
\(226\) 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 −0.157886 0.987457i \(-0.550468\pi\)
0.934106 0.356995i \(-0.116199\pi\)
\(230\) −7.06760 + 12.2414i −0.466024 + 0.807176i
\(231\) −3.41494 9.80558i −0.224687 0.645160i
\(232\) −7.61619 + 4.39721i −0.500028 + 0.288691i
\(233\) −11.1727 6.45055i −0.731947 0.422590i 0.0871872 0.996192i \(-0.472212\pi\)
−0.819134 + 0.573602i \(0.805545\pi\)
\(234\) 0.836399 10.7843i 0.0546771 0.704990i
\(235\) 4.83741 + 8.37864i 0.315558 + 0.546562i
\(236\) 10.7942i 0.702643i
\(237\) 10.0902 + 0.404859i 0.655431 + 0.0262984i
\(238\) 3.48625 + 8.85075i 0.225980 + 0.573709i
\(239\) 23.0402 1.49035 0.745175 0.666869i \(-0.232366\pi\)
0.745175 + 0.666869i \(0.232366\pi\)
\(240\) −0.212417 + 5.29402i −0.0137114 + 0.341728i
\(241\) −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
\(243\) 10.3269 11.6771i 0.662470 0.749089i
\(244\) −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
\(249\) −5.81559 + 3.05355i −0.368548 + 0.193511i
\(250\) 1.96613i 0.124349i
\(251\) −6.68358 + 11.5763i −0.421864 + 0.730690i −0.996122 0.0879848i \(-0.971957\pi\)
0.574258 + 0.818674i \(0.305291\pi\)
\(252\) −7.73081 1.79848i −0.486995 0.113294i
\(253\) 9.06735 + 5.23504i 0.570059 + 0.329124i
\(254\) 0.0429290 + 0.0743552i 0.00269360 + 0.00466546i
\(255\) 0.763729 19.0343i 0.0478265 1.19197i
\(256\) 1.00000 0.0625000
\(257\) 2.71126 0.169124 0.0845618 0.996418i \(-0.473051\pi\)
0.0845618 + 0.996418i \(0.473051\pi\)
\(258\) 16.2694 + 0.652793i 1.01289 + 0.0406411i
\(259\) 3.31343 1.30514i 0.205886 0.0810972i
\(260\) 11.0292 0.0309078i 0.684002 0.00191682i
\(261\) −2.11380 + 26.2985i −0.130841 + 1.62783i
\(262\) 1.03041 1.78473i 0.0636591 0.110261i
\(263\) −12.7361 7.35317i −0.785340 0.453416i 0.0529797 0.998596i \(-0.483128\pi\)
−0.838319 + 0.545180i \(0.816461\pi\)
\(264\) 3.92133 + 0.157339i 0.241341 + 0.00968355i
\(265\) 5.10485 0.313588
\(266\) −1.36317 + 1.71368i −0.0835811 + 0.105073i
\(267\) 12.8005 6.72107i 0.783378 0.411323i
\(268\) 3.51789 + 2.03106i 0.214889 + 0.124066i
\(269\) −7.51872 −0.458424 −0.229212 0.973376i \(-0.573615\pi\)
−0.229212 + 0.973376i \(0.573615\pi\)
\(270\) 12.7120 + 9.54205i 0.773628 + 0.580711i
\(271\) −0.0247852 −0.00150559 −0.000752797 1.00000i \(-0.500240\pi\)
−0.000752797 1.00000i \(0.500240\pi\)
\(272\) −3.59543 −0.218005
\(273\) −3.05014 + 16.2387i −0.184603 + 0.982813i
\(274\) −8.97465 −0.542178
\(275\) −9.87269 −0.595346
\(276\) 7.08623 3.72072i 0.426541 0.223961i
\(277\) 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
\(279\) 28.5984 + 2.29866i 1.71214 + 0.137617i
\(280\) 1.19638 8.00434i 0.0714974 0.478351i
\(281\) −29.5748 −1.76428 −0.882142 0.470984i \(-0.843899\pi\)
−0.882142 + 0.470984i \(0.843899\pi\)
\(282\) 0.219626 5.47369i 0.0130785 0.325953i
\(283\) 18.3623 + 10.6015i 1.09152 + 0.630192i 0.933982 0.357320i \(-0.116310\pi\)
0.157543 + 0.987512i \(0.449643\pi\)
\(284\) 3.81286 6.60406i 0.226251 0.391879i
\(285\) 3.88244 2.03852i 0.229976 0.120752i
\(286\) −0.0228937 8.16944i −0.00135374 0.483069i
\(287\) 16.8228 + 13.3819i 0.993021 + 0.789909i
\(288\) 1.70333 2.46955i 0.100370 0.145519i
\(289\) −4.07291 −0.239583
\(290\) −26.9018 −1.57973
\(291\) 27.6867 + 1.11090i 1.62302 + 0.0651219i
\(292\) 5.74190 + 9.94525i 0.336019 + 0.582002i
\(293\) −10.1781 5.87631i −0.594609 0.343298i 0.172309 0.985043i \(-0.444877\pi\)
−0.766918 + 0.641745i \(0.778211\pi\)
\(294\) 11.4430 + 4.00716i 0.667370 + 0.233702i
\(295\) −16.5095 + 28.5954i −0.961223 + 1.66489i
\(296\) 1.34601i 0.0782351i
\(297\) 7.06789 9.41591i 0.410121 0.546367i
\(298\) 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
\(303\) −12.3568 0.495801i −0.709877 0.0284830i
\(304\) −0.413821 0.716759i −0.0237342 0.0411089i
\(305\) −32.3040 −1.84972
\(306\) −6.12421 + 8.87907i −0.350098 + 0.507583i
\(307\) −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
\(309\) −0.123196 + 3.07040i −0.00700840 + 0.174669i
\(310\) 29.2545i 1.66154i
\(311\) 4.81504 + 8.33990i 0.273036 + 0.472912i 0.969638 0.244546i \(-0.0786388\pi\)
−0.696602 + 0.717458i \(0.745306\pi\)
\(312\) −5.28812 3.32201i −0.299381 0.188072i
\(313\) 12.0523 + 6.95841i 0.681237 + 0.393312i 0.800321 0.599572i \(-0.204662\pi\)
−0.119084 + 0.992884i \(0.537996\pi\)
\(314\) −10.2785 + 5.93431i −0.580051 + 0.334893i
\(315\) −17.7293 16.5886i −0.998930 0.934660i
\(316\) 2.91514 5.04917i 0.163990 0.284038i
\(317\) 11.8204 20.4735i 0.663900 1.14991i −0.315682 0.948865i \(-0.602233\pi\)
0.979582 0.201044i \(-0.0644334\pi\)
\(318\) −2.44327 1.54443i −0.137012 0.0866075i
\(319\) 19.9264i 1.11567i
\(320\) 2.64914 + 1.52948i 0.148091 + 0.0855006i
\(321\) −9.64664 + 5.06510i −0.538423 + 0.282706i
\(322\) −11.3751 + 4.48059i −0.633912 + 0.249694i
\(323\) 1.48786 + 2.57705i 0.0827869 + 0.143391i
\(324\) −3.19732 8.41292i −0.177629 0.467384i
\(325\) 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 −0.0965965 0.995324i \(-0.530796\pi\)
0.813677 + 0.581317i \(0.197462\pi\)
\(332\) 3.79233i 0.208131i
\(333\) 3.32403 + 2.29270i 0.182156 + 0.125639i
\(334\) −21.5888 + 12.4643i −1.18129 + 0.682016i
\(335\) 6.21292 + 10.7611i 0.339448 + 0.587942i
\(336\) −2.99426 + 3.46906i −0.163350 + 0.189253i
\(337\) −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
\(339\) 0.581746 14.4988i 0.0315961 0.787464i
\(340\) −9.52479 5.49914i −0.516554 0.298233i
\(341\) 21.6691 1.17345
\(342\) −2.47494 0.198929i −0.133830 0.0107568i
\(343\) −16.7158 7.97393i −0.902566 0.430552i
\(344\) 4.70036 8.14127i 0.253427 0.438948i
\(345\) 24.4632 + 0.981558i 1.31705 + 0.0528453i
\(346\) −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 0.901969 + 0.431800i \(0.142121\pi\)
−0.0770347 + 0.997028i \(0.524545\pi\)
\(350\) 7.17662 9.02197i 0.383607 0.482245i
\(351\) −17.2113 + 7.40077i −0.918671 + 0.395024i
\(352\) 1.13290 1.96224i 0.0603839 0.104588i
\(353\) −17.0077 9.81940i −0.905228 0.522634i −0.0263354 0.999653i \(-0.508384\pi\)
−0.878893 + 0.477019i \(0.841717\pi\)
\(354\) 16.5531 8.69141i 0.879786 0.461943i
\(355\) 20.2016 11.6634i 1.07219 0.619028i
\(356\) 8.34716i 0.442399i
\(357\) 10.7656 12.4728i 0.569779 0.660128i
\(358\) 10.9445 + 6.31879i 0.578433 + 0.333958i
\(359\) 5.20022 9.00705i 0.274457 0.475374i −0.695541 0.718487i \(-0.744835\pi\)
0.969998 + 0.243113i \(0.0781685\pi\)
\(360\) 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 −0.108482 0.994098i \(-0.534599\pi\)
−0.915156 + 0.403101i \(0.867932\pi\)
\(368\) 4.62091i 0.240882i
\(369\) −1.95284 + 24.2960i −0.101661 + 1.26480i
\(370\) −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 0.562818 0.826581i \(-0.309717\pi\)
−0.997249 + 0.0741246i \(0.976384\pi\)
\(374\) −4.07327 + 7.05510i −0.210624 + 0.364811i
\(375\) 3.01508 1.58311i 0.155698 0.0817513i
\(376\) −2.73905 1.58139i −0.141255 0.0815539i
\(377\) 15.7774 27.5049i 0.812575 1.41657i
\(378\) 3.46679 + 13.3034i 0.178312 + 0.684255i
\(379\) −3.91399 + 2.25974i −0.201048 + 0.116075i −0.597144 0.802134i \(-0.703698\pi\)
0.396096 + 0.918209i \(0.370365\pi\)
\(380\) 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 \(-0.694831\pi\)
0.421519 + 0.906820i \(0.361497\pi\)
\(384\) −0.805192 1.53351i −0.0410898 0.0782568i
\(385\) −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 \(-0.695820\pi\)
0.418697 + 0.908126i \(0.362487\pi\)
\(390\) −8.92802 16.8886i −0.452088 0.855185i
\(391\) 16.6141i 0.840213i
\(392\) 5.11962 4.77383i 0.258580 0.241115i
\(393\) −3.56659 0.143105i −0.179910 0.00721871i
\(394\) −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 0.942099 + 0.335335i \(0.108850\pi\)
−0.180641 + 0.983549i \(0.557817\pi\)
\(398\) 12.2381i 0.613439i
\(399\) 3.72557 + 0.710593i 0.186512 + 0.0355741i
\(400\) 2.17863 + 3.77350i 0.108931 + 0.188675i
\(401\) −33.2182 −1.65884 −0.829419 0.558627i \(-0.811328\pi\)
−0.829419 + 0.558627i \(0.811328\pi\)
\(402\) 0.282076 7.03013i 0.0140687 0.350631i
\(403\) −29.9103 17.1572i −1.48994 0.854659i
\(404\) −3.56996 + 6.18335i −0.177612 + 0.307633i
\(405\) 4.39727 27.1772i 0.218502 1.35045i
\(406\) −18.2094 14.4849i −0.903717 0.718871i
\(407\) 2.64120 + 1.52490i 0.130919 + 0.0755863i
\(408\) 2.89501 + 5.51364i 0.143324 + 0.272966i
\(409\) 15.4590 0.764400 0.382200 0.924080i \(-0.375166\pi\)
0.382200 + 0.924080i \(0.375166\pi\)
\(410\) −24.8534 −1.22742
\(411\) 7.22631 + 13.7628i 0.356448 + 0.678866i
\(412\) 1.53644 + 0.887062i 0.0756948 + 0.0437024i
\(413\) −26.5718 + 10.4664i −1.30751 + 0.515019i
\(414\) −11.4115 7.87095i −0.560847 0.386836i
\(415\) −5.80030 + 10.0464i −0.284725 + 0.493159i
\(416\) −3.11743 + 1.81152i −0.152845 + 0.0888170i
\(417\) 1.44963 36.1287i 0.0709885 1.76923i
\(418\) −1.87527 −0.0917226
\(419\) −6.78747 11.7562i −0.331590 0.574330i 0.651234 0.758877i \(-0.274252\pi\)
−0.982824 + 0.184547i \(0.940918\pi\)
\(420\) −13.2381 + 4.61036i −0.645953 + 0.224963i
\(421\) 22.2151i 1.08270i −0.840797 0.541350i \(-0.817913\pi\)
0.840797 0.541350i \(-0.182087\pi\)
\(422\) 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
\(426\) −13.1975 0.529535i −0.639421 0.0256561i
\(427\) −21.8660 17.3936i −1.05817 0.841733i
\(428\) 6.29055i 0.304065i
\(429\) −12.5095 + 6.61307i −0.603965 + 0.319282i
\(430\) 24.9038 14.3782i 1.20097 0.693380i
\(431\) −4.40288 + 7.62602i −0.212079 + 0.367332i −0.952365 0.304960i \(-0.901357\pi\)
0.740286 + 0.672292i \(0.234690\pi\)
\(432\) −5.15859 0.623627i −0.248193 0.0300043i
\(433\) −3.16975 1.83006i −0.152328 0.0879468i 0.421898 0.906643i \(-0.361364\pi\)
−0.574227 + 0.818696i \(0.694697\pi\)
\(434\) −15.7516 + 19.8019i −0.756102 + 0.950521i
\(435\) 21.6611 + 41.2543i 1.03857 + 1.97799i
\(436\) 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 \(-0.860484\pi\)
0.905474 0.424402i \(-0.139516\pi\)
\(440\) 6.00243 3.46551i 0.286155 0.165212i
\(441\) −3.06879 20.7746i −0.146133 0.989265i
\(442\) 11.2085 6.51318i 0.533134 0.309801i
\(443\) −20.0861 11.5967i −0.954319 0.550976i −0.0598990 0.998204i \(-0.519078\pi\)
−0.894420 + 0.447228i \(0.852411\pi\)
\(444\) 2.06412 1.08379i 0.0979589 0.0514346i
\(445\) 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 \(-0.772398\pi\)
0.945339 + 0.326090i \(0.105731\pi\)
\(450\) 13.0298 + 1.04729i 0.614228 + 0.0493699i
\(451\) 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 \(-0.883051\pi\)
0.933262 0.359197i \(-0.116949\pi\)
\(458\) −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 \(-0.349634\pi\)
−0.543674 + 0.839296i \(0.682967\pi\)
\(462\) 3.41494 + 9.80558i 0.158877 + 0.456197i
\(463\) 9.47072i 0.440142i 0.975484 + 0.220071i \(0.0706289\pi\)
−0.975484 + 0.220071i \(0.929371\pi\)
\(464\) 7.61619 4.39721i 0.353573 0.204135i
\(465\) 44.8622 23.5555i 2.08043 1.09236i
\(466\) 11.1727 + 6.45055i 0.517564 + 0.298816i
\(467\) 7.74149 13.4087i 0.358234 0.620479i −0.629432 0.777055i \(-0.716712\pi\)
0.987666 + 0.156577i \(0.0500458\pi\)
\(468\) −0.836399 + 10.7843i −0.0386626 + 0.498503i
\(469\) −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
\(474\) −10.0902 0.404859i −0.463460 0.0185958i
\(475\) 1.80312 3.12310i 0.0827330 0.143298i
\(476\) −3.48625 8.85075i −0.159792 0.405673i
\(477\) −0.401111 + 4.99035i −0.0183656 + 0.228493i
\(478\) −23.0402 −1.05384
\(479\) −35.7766 20.6556i −1.63467 0.943779i −0.982625 0.185601i \(-0.940577\pi\)
−0.652048 0.758178i \(-0.726090\pi\)
\(480\) 0.212417 5.29402i 0.00969545 0.241638i
\(481\) −2.43832 4.19609i −0.111178 0.191325i
\(482\) 27.7786 1.26528
\(483\) 16.0302 + 13.8362i 0.729400 + 0.629569i
\(484\) 2.93307 + 5.08022i 0.133321 + 0.230919i
\(485\) 42.3803 24.4683i 1.92439 1.11105i
\(486\) −10.3269 + 11.6771i −0.468437 + 0.529686i
\(487\) 2.53448i 0.114848i −0.998350 0.0574240i \(-0.981711\pi\)
0.998350 0.0574240i \(-0.0182887\pi\)
\(488\) 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 \(-0.468644\pi\)
0.911001 + 0.412403i \(0.135310\pi\)
\(492\) 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
\(495\) 1.66591 20.7262i 0.0748772 0.931573i
\(496\) −4.78177 8.28226i −0.214708 0.371885i
\(497\) 19.9541 + 2.98246i 0.895063 + 0.133782i
\(498\) 5.81559 3.05355i 0.260603 0.136833i
\(499\) −24.8498 14.3470i −1.11243 0.642261i −0.172972 0.984927i \(-0.555337\pi\)
−0.939458 + 0.342665i \(0.888670\pi\)
\(500\) 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 0.310644 + 0.950526i \(0.399455\pi\)
−0.978502 + 0.206238i \(0.933878\pi\)
\(504\) 7.73081 + 1.79848i 0.344358 + 0.0801108i
\(505\) −18.9146 + 10.9204i −0.841690 + 0.485950i
\(506\) −9.06735 5.23504i −0.403093 0.232726i
\(507\) 22.5033 + 0.776618i 0.999405 + 0.0344908i
\(508\) −0.0429290 0.0743552i −0.00190467 0.00329898i
\(509\) 12.9462i 0.573832i 0.957956 + 0.286916i \(0.0926301\pi\)
−0.957956 + 0.286916i \(0.907370\pi\)
\(510\) −0.763729 + 19.0343i −0.0338185 + 0.842851i
\(511\) −18.9144 + 23.7779i −0.836723 + 1.05187i
\(512\) −1.00000 −0.0441942
\(513\) 1.68774 + 3.95554i 0.0745157 + 0.174641i
\(514\) −2.71126 −0.119588
\(515\) 2.71349 + 4.69990i 0.119571 + 0.207102i
\(516\) −16.2694 0.652793i −0.716222 0.0287376i
\(517\) −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 0.895696 + 0.444666i \(0.146678\pi\)
−0.0627562 + 0.998029i \(0.519989\pi\)
\(522\) 2.11380 26.2985i 0.0925183 1.15105i
\(523\) 33.5733i 1.46806i 0.679119 + 0.734028i \(0.262362\pi\)
−0.679119 + 0.734028i \(0.737638\pi\)
\(524\) −1.03041 + 1.78473i −0.0450138 + 0.0779662i
\(525\) −19.6139 3.74104i −0.856020 0.163272i
\(526\) 12.7361 + 7.35317i 0.555319 + 0.320614i
\(527\) 17.1925 + 29.7783i 0.748917 + 1.29716i
\(528\) −3.92133 0.157339i −0.170654 0.00684731i
\(529\) 1.64720 0.0716173
\(530\) −5.10485 −0.221740
\(531\) −26.6568 18.3861i −1.15681 0.797890i
\(532\) 1.36317 1.71368i 0.0591008 0.0742976i
\(533\) 14.5760 25.4105i 0.631356 1.10065i
\(534\) −12.8005 + 6.72107i −0.553932 + 0.290849i
\(535\) −9.62128 + 16.6645i −0.415964 + 0.720471i
\(536\) −3.51789 2.03106i −0.151950 0.0877282i
\(537\) 0.877563 21.8713i 0.0378696 0.943818i
\(538\) 7.51872 0.324155
\(539\) −3.56740 15.4542i −0.153659 0.665661i
\(540\) −12.7120 9.54205i −0.547038 0.410624i
\(541\) 1.91892 + 1.10789i 0.0825009 + 0.0476319i 0.540683 0.841226i \(-0.318166\pi\)
−0.458182 + 0.888858i \(0.651499\pi\)
\(542\) 0.0247852 0.00106462
\(543\) 2.74648 1.44208i 0.117863 0.0618854i
\(544\) 3.59543 0.154153
\(545\) 31.8730 1.36529
\(546\) 3.05014 16.2387i 0.130534 0.694954i
\(547\) 35.2174 1.50579 0.752895 0.658141i \(-0.228657\pi\)
0.752895 + 0.658141i \(0.228657\pi\)
\(548\) 8.97465 0.383378
\(549\) 2.53827 31.5794i 0.108331 1.34778i
\(550\) 9.87269 0.420973
\(551\) −6.30348 3.63931i −0.268537 0.155040i
\(552\) −7.08623 + 3.72072i −0.301610 + 0.158364i
\(553\) 15.2560 + 2.28026i 0.648752 + 0.0969665i
\(554\) −6.18124 −0.262616
\(555\) 7.12580 + 0.285915i 0.302473 + 0.0121364i
\(556\) −18.0789 10.4379i −0.766716 0.442664i
\(557\) −4.07382 + 7.05607i −0.172613 + 0.298975i −0.939333 0.343007i \(-0.888554\pi\)
0.766719 + 0.641982i \(0.221888\pi\)
\(558\) −28.5984 2.29866i −1.21067 0.0973099i
\(559\) 0.0949852 + 33.8947i 0.00401745 + 1.43359i
\(560\) −1.19638 + 8.00434i −0.0505563 + 0.338245i
\(561\) 14.0989 + 0.565701i 0.595255 + 0.0238839i
\(562\) 29.5748 1.24754
\(563\) 21.8949 0.922761 0.461380 0.887202i \(-0.347354\pi\)
0.461380 + 0.887202i \(0.347354\pi\)
\(564\) −0.219626 + 5.47369i −0.00924790 + 0.230484i
\(565\) −12.8134 22.1934i −0.539063 0.933684i
\(566\) −18.3623 10.6015i −0.771824 0.445613i
\(567\) 17.6096 16.0282i 0.739533 0.673120i
\(568\) −3.81286 + 6.60406i −0.159984 + 0.277100i
\(569\) 39.3854i 1.65112i 0.564314 + 0.825560i \(0.309141\pi\)
−0.564314 + 0.825560i \(0.690859\pi\)
\(570\) −3.88244 + 2.03852i −0.162617 + 0.0853844i
\(571\) −10.0406 17.3909i −0.420187 0.727786i 0.575770 0.817612i \(-0.304702\pi\)
−0.995958 + 0.0898257i \(0.971369\pi\)
\(572\) 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
\(576\) −1.70333 + 2.46955i −0.0709722 + 0.102898i
\(577\) 10.1331 + 17.5510i 0.421847 + 0.730660i 0.996120 0.0880038i \(-0.0280488\pi\)
−0.574274 + 0.818663i \(0.694715\pi\)
\(578\) 4.07291 0.169411
\(579\) 0.724394 18.0539i 0.0301048 0.750296i
\(580\) 26.9018 1.11704
\(581\) −9.33546 + 3.67717i −0.387300 + 0.152555i
\(582\) −27.6867 1.11090i −1.14765 0.0460482i
\(583\) 3.78121i 0.156602i
\(584\) −5.74190 9.94525i −0.237601 0.411538i
\(585\) −18.7101 + 27.2898i −0.773567 + 1.12829i
\(586\) 10.1781 + 5.87631i 0.420452 + 0.242748i
\(587\) 5.90203 3.40754i 0.243603 0.140644i −0.373229 0.927739i \(-0.621749\pi\)
0.616831 + 0.787095i \(0.288416\pi\)
\(588\) −11.4430 4.00716i −0.471902 0.165252i
\(589\) −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 \(-0.0772464\pi\)
0.277242 + 0.960800i \(0.410580\pi\)
\(594\) −7.06789 + 9.41591i −0.289999 + 0.386339i
\(595\) 4.30150 28.7790i 0.176344 1.17982i
\(596\) −0.851501 1.47484i −0.0348788 0.0604119i
\(597\) −18.7673 + 9.85399i −0.768093 + 0.403297i
\(598\) 8.37086 + 14.4054i 0.342310 + 0.589080i
\(599\) 3.02800 1.74821i 0.123721 0.0714301i −0.436863 0.899528i \(-0.643910\pi\)
0.560583 + 0.828098i \(0.310577\pi\)
\(600\) 4.03250 6.37935i 0.164626 0.260436i
\(601\) −30.2974 + 17.4922i −1.23586 + 0.713521i −0.968244 0.250006i \(-0.919567\pi\)
−0.267611 + 0.963527i \(0.586234\pi\)
\(602\) 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
\(606\) 12.3568 + 0.495801i 0.501959 + 0.0201405i
\(607\) −15.1664 + 8.75631i −0.615584 + 0.355408i −0.775148 0.631780i \(-0.782325\pi\)
0.159564 + 0.987188i \(0.448991\pi\)
\(608\) 0.413821 + 0.716759i 0.0167826 + 0.0290684i
\(609\) −7.55068 + 39.5875i −0.305969 + 1.60416i
\(610\) 32.3040 1.30795
\(611\) 11.4035 0.0319568i 0.461337 0.00129283i
\(612\) 6.12421 8.87907i 0.247556 0.358915i
\(613\) 11.5436 + 6.66471i 0.466242 + 0.269185i 0.714665 0.699467i \(-0.246579\pi\)
−0.248423 + 0.968652i \(0.579912\pi\)
\(614\) 12.2431 0.494090
\(615\) 20.0117 + 38.1130i 0.806951 + 1.53687i
\(616\) 5.92889 + 0.886170i 0.238882 + 0.0357048i
\(617\) −16.4579 + 28.5059i −0.662569 + 1.14760i 0.317369 + 0.948302i \(0.397201\pi\)
−0.979938 + 0.199301i \(0.936133\pi\)
\(618\) 0.123196 3.07040i 0.00495569 0.123510i
\(619\) 3.67239 + 6.36076i 0.147606 + 0.255661i 0.930342 0.366693i \(-0.119510\pi\)
−0.782736 + 0.622353i \(0.786177\pi\)
\(620\) 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
\(624\) 5.28812 + 3.32201i 0.211694 + 0.132987i
\(625\) 13.9003 24.0760i 0.556012 0.963041i
\(626\) −12.0523 6.95841i −0.481707 0.278114i
\(627\) 1.50995 + 2.87576i 0.0603018 + 0.114847i
\(628\) 10.2785 5.93431i 0.410158 0.236805i
\(629\) 4.83947i 0.192962i
\(630\) 17.7293 + 16.5886i 0.706351 + 0.660904i
\(631\) −23.3905 13.5045i −0.931159 0.537605i −0.0439813 0.999032i \(-0.514004\pi\)
−0.887178 + 0.461427i \(0.847338\pi\)
\(632\) −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 \(-0.134563\pi\)
\(642\) 9.64664 5.06510i 0.380723 0.199903i
\(643\) 0.127258 0.220417i 0.00501857 0.00869242i −0.863505 0.504340i \(-0.831736\pi\)
0.868524 + 0.495647i \(0.165069\pi\)
\(644\) 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 \(-0.992788\pi\)
0.519492 + 0.854475i \(0.326121\pi\)
\(648\) 3.19732 + 8.41292i 0.125602 + 0.330491i
\(649\) −21.1809 12.2288i −0.831422 0.480022i
\(650\) −13.6275 7.81700i −0.534514 0.306608i
\(651\) 43.0495 + 8.21102i 1.68724 + 0.321815i
\(652\) 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
\(657\) −34.3406 2.76020i −1.33976 0.107686i
\(658\) 1.23698 8.27599i 0.0482226 0.322632i
\(659\) −37.5123 21.6577i −1.46127 0.843666i −0.462202 0.886775i \(-0.652940\pi\)
−0.999070 + 0.0431091i \(0.986274\pi\)
\(660\) −10.1475 6.41442i −0.394991 0.249681i
\(661\) 6.51294 11.2807i 0.253324 0.438770i −0.711115 0.703076i \(-0.751809\pi\)
0.964439 + 0.264306i \(0.0851428\pi\)
\(662\) −13.0461 + 7.53219i −0.507053 + 0.292747i
\(663\) −19.0131 11.9440i −0.738406 0.463868i
\(664\) 3.79233i 0.147171i
\(665\) 6.23227 2.45485i 0.241677 0.0951949i
\(666\) −3.32403 2.29270i −0.128804 0.0888403i
\(667\) −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
\(672\) 2.99426 3.46906i 0.115506 0.133822i
\(673\) −16.1195 27.9199i −0.621363 1.07623i −0.989232 0.146355i \(-0.953246\pi\)
0.367869 0.929877i \(-0.380087\pi\)
\(674\) 9.93070 0.382516
\(675\) −8.88541 20.8246i −0.341999 0.801539i
\(676\) 6.43680 11.2946i 0.247569 0.434407i
\(677\) 12.3401 21.3737i 0.474268 0.821457i −0.525298 0.850919i \(-0.676046\pi\)
0.999566 + 0.0294618i \(0.00937935\pi\)
\(678\) −0.581746 + 14.4988i −0.0223418 + 0.556821i
\(679\) 41.8611 + 6.25683i 1.60648 + 0.240115i
\(680\) 9.52479 + 5.49914i 0.365259 + 0.210882i
\(681\) −32.8895 + 17.2691i −1.26033 + 0.661752i
\(682\) −21.6691 −0.829752
\(683\) 16.2437 0.621546 0.310773 0.950484i \(-0.399412\pi\)
0.310773 + 0.950484i \(0.399412\pi\)
\(684\) 2.47494 + 0.198929i 0.0946318 + 0.00760624i
\(685\) 23.7751 + 13.7266i 0.908400 + 0.524465i
\(686\) 16.7158 + 7.97393i 0.638210 + 0.304446i
\(687\) 40.6578 + 1.63135i 1.55119 + 0.0622398i
\(688\) −4.70036 + 8.14127i −0.179200 + 0.310383i
\(689\) 2.99389 5.21929i 0.114058 0.198839i
\(690\) −24.4632 0.981558i −0.931298 0.0373673i
\(691\) −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
\(693\) 12.2873 13.1322i 0.466757 0.498852i
\(694\) 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
\(699\) 0.895862 22.3274i 0.0338846 0.844500i
\(700\) −7.17662 + 9.02197i −0.271251 + 0.340998i
\(701\) 36.9386i 1.39515i 0.716510 + 0.697577i \(0.245738\pi\)
−0.716510 + 0.697577i \(0.754262\pi\)
\(702\) 17.2113 7.40077i 0.649598 0.279324i
\(703\) −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
\(708\) −16.5531 + 8.69141i −0.622103 + 0.326643i
\(709\) −2.33135 + 1.34600i −0.0875556 + 0.0505502i −0.543139 0.839643i \(-0.682764\pi\)
0.455583 + 0.890193i \(0.349431\pi\)
\(710\) −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
\(714\) −10.7656 + 12.4728i −0.402894 + 0.466781i
\(715\) −12.4344 + 21.6770i −0.465019 + 0.810674i
\(716\) −10.9445 6.31879i −0.409014 0.236144i
\(717\) 18.5518 + 35.3325i 0.692830 + 1.31952i
\(718\) −5.20022 + 9.00705i −0.194071 + 0.336140i
\(719\) −9.62506 16.6711i −0.358954 0.621727i 0.628832 0.777541i \(-0.283533\pi\)
−0.987786 + 0.155814i \(0.950200\pi\)
\(720\) −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
\(723\) −22.3671 42.5988i −0.831841 1.58427i
\(724\) 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 \(-0.816436\pi\)
0.838276 0.545246i \(-0.183564\pi\)
\(728\) −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 0.498363 + 0.866968i \(0.333935\pi\)
−0.999998 + 0.00188874i \(0.999399\pi\)
\(734\) 19.6101 + 11.3219i 0.723821 + 0.417898i
\(735\) −24.1853 28.1174i −0.892088 1.03713i
\(736\) 4.62091i 0.170329i
\(737\) −7.97085 + 4.60197i −0.293610 + 0.169516i
\(738\) 1.95284 24.2960i 0.0718851 0.894347i
\(739\) 15.9336 + 9.19930i 0.586129 + 0.338402i 0.763565 0.645731i \(-0.223447\pi\)
−0.177437 + 0.984132i \(0.556780\pi\)
\(740\) 2.05870 3.56576i 0.0756791 0.131080i
\(741\) 0.192745 5.16502i 0.00708066 0.189742i
\(742\) −3.45539 2.74862i −0.126851 0.100905i
\(743\) 16.4058 + 28.4156i 0.601869 + 1.04247i 0.992538 + 0.121937i \(0.0389105\pi\)
−0.390669 + 0.920531i \(0.627756\pi\)
\(744\) −8.85073 + 14.0017i −0.324484 + 0.513328i
\(745\) 5.20942i 0.190858i
\(746\) 8.39025 + 14.5323i 0.307189 + 0.532067i
\(747\) −9.36533 6.45960i −0.342660 0.236344i
\(748\) 4.07327 7.05510i 0.148933 0.257960i
\(749\) −15.4852 + 6.09953i −0.565818 + 0.222872i
\(750\) −3.01508 + 1.58311i −0.110095 + 0.0578069i
\(751\) 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
\(753\) −23.1340 0.928225i −0.843049 0.0338264i
\(754\) −15.7774 + 27.5049i −0.574577 + 1.00167i
\(755\) −67.9918 −2.47447
\(756\) −3.46679 13.3034i −0.126086 0.483841i
\(757\) −6.81712 11.8076i −0.247772 0.429154i 0.715135 0.698986i \(-0.246365\pi\)
−0.962907 + 0.269832i \(0.913032\pi\)
\(758\) 3.91399 2.25974i 0.142163 0.0820776i
\(759\) −0.727050 + 18.1201i −0.0263902 + 0.657719i
\(760\) 2.53173i 0.0918353i
\(761\) 29.4337 16.9936i 1.06697 0.616016i 0.139619 0.990205i \(-0.455412\pi\)
0.927352 + 0.374189i \(0.122079\pi\)
\(762\) −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
\(768\) 0.805192 + 1.53351i 0.0290549 + 0.0553359i
\(769\) 19.7746 + 34.2506i 0.713090 + 1.23511i 0.963692 + 0.267018i \(0.0860382\pi\)
−0.250602 + 0.968090i \(0.580628\pi\)
\(770\) 14.3511 + 11.4157i 0.517177 + 0.411394i
\(771\) 2.18308 + 4.15775i 0.0786218 + 0.149738i
\(772\) −9.03423 5.21591i −0.325149 0.187725i
\(773\) 8.09302i 0.291086i 0.989352 + 0.145543i \(0.0464929\pi\)
−0.989352 + 0.145543i \(0.953507\pi\)