Properties

Label 546.2.bu.a.449.11
Level $546$
Weight $2$
Character 546.449
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
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.bu (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 449.11
Character \(\chi\) \(=\) 546.449
Dual form 546.2.bu.a.197.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.258819 + 0.965926i) q^{2} +(-0.264812 + 1.71169i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-0.429580 + 0.429580i) q^{5} +(-1.72190 + 0.187229i) q^{6} +(-0.965926 - 0.258819i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(-2.85975 - 0.906550i) q^{9} +O(q^{10})\) \(q+(0.258819 + 0.965926i) q^{2} +(-0.264812 + 1.71169i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-0.429580 + 0.429580i) q^{5} +(-1.72190 + 0.187229i) q^{6} +(-0.965926 - 0.258819i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(-2.85975 - 0.906550i) q^{9} +(-0.526126 - 0.303759i) q^{10} +(-1.44890 + 0.388232i) q^{11} +(-0.626510 - 1.61477i) q^{12} +(-1.82271 + 3.11091i) q^{13} -1.00000i q^{14} +(-0.621549 - 0.849065i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-2.50234 - 4.33419i) q^{17} +(0.135502 - 2.99694i) q^{18} +(0.744411 - 2.77818i) q^{19} +(0.157237 - 0.586817i) q^{20} +(0.698806 - 1.58483i) q^{21} +(-0.750007 - 1.29905i) q^{22} +(-2.87235 + 4.97505i) q^{23} +(1.39760 - 1.02310i) q^{24} +4.63092i q^{25} +(-3.47666 - 0.955436i) q^{26} +(2.30902 - 4.65493i) q^{27} +(0.965926 - 0.258819i) q^{28} +(-5.53687 - 3.19672i) q^{29} +(0.659265 - 0.820125i) q^{30} +(2.86572 + 2.86572i) q^{31} +(0.965926 + 0.258819i) q^{32} +(-0.280846 - 2.58288i) q^{33} +(3.53885 - 3.53885i) q^{34} +(0.526126 - 0.303759i) q^{35} +(2.92989 - 0.644780i) q^{36} +(2.29499 + 8.56502i) q^{37} +2.87618 q^{38} +(-4.84223 - 3.94371i) q^{39} +0.607518 q^{40} +(-0.973141 - 3.63181i) q^{41} +(1.71169 + 0.264812i) q^{42} +(9.35271 - 5.39979i) q^{43} +(1.06067 - 1.06067i) q^{44} +(1.61793 - 0.839056i) q^{45} +(-5.54895 - 1.48684i) q^{46} +(-7.10501 - 7.10501i) q^{47} +(1.34996 + 1.08518i) q^{48} +(0.866025 + 0.500000i) q^{49} +(-4.47313 + 1.19857i) q^{50} +(8.08143 - 3.13549i) q^{51} +(0.0230552 - 3.60548i) q^{52} +7.88465i q^{53} +(5.09394 + 1.02556i) q^{54} +(0.455643 - 0.789196i) q^{55} +(0.500000 + 0.866025i) q^{56} +(4.55825 + 2.00989i) q^{57} +(1.65474 - 6.17558i) q^{58} +(-3.35057 + 12.5045i) q^{59} +(0.962810 + 0.424537i) q^{60} +(-0.879168 - 1.52276i) q^{61} +(-2.02637 + 3.50978i) q^{62} +(2.52767 + 1.61582i) q^{63} +1.00000i q^{64} +(-0.553386 - 2.11938i) q^{65} +(2.42218 - 0.939774i) q^{66} +(-10.7168 + 2.87155i) q^{67} +(4.33419 + 2.50234i) q^{68} +(-7.75510 - 6.23401i) q^{69} +(0.429580 + 0.429580i) q^{70} +(5.54815 + 1.48662i) q^{71} +(1.38112 + 2.66318i) q^{72} +(-10.8592 + 10.8592i) q^{73} +(-7.67919 + 4.43358i) q^{74} +(-7.92669 - 1.22632i) q^{75} +(0.744411 + 2.77818i) q^{76} +1.50001 q^{77} +(2.55607 - 5.69794i) q^{78} +3.68438 q^{79} +(0.157237 + 0.586817i) q^{80} +(7.35634 + 5.18501i) q^{81} +(3.25619 - 1.87996i) q^{82} +(5.15594 - 5.15594i) q^{83} +(0.187229 + 1.72190i) q^{84} +(2.93684 + 0.786923i) q^{85} +(7.63646 + 7.63646i) q^{86} +(6.93801 - 8.63087i) q^{87} +(1.29905 + 0.750007i) q^{88} +(-6.57035 + 1.76052i) q^{89} +(1.22922 + 1.34563i) q^{90} +(2.56576 - 2.53316i) q^{91} -5.74469i q^{92} +(-5.66410 + 4.14635i) q^{93} +(5.02400 - 8.70183i) q^{94} +(0.873667 + 1.51324i) q^{95} +(-0.698806 + 1.58483i) q^{96} +(-0.785006 + 2.92968i) q^{97} +(-0.258819 + 0.965926i) q^{98} +(4.49545 + 0.203255i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q - 8 q^{6} + 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 56 q - 8 q^{6} + 24 q^{9} + 24 q^{10} - 8 q^{11} + 24 q^{13} - 4 q^{15} + 28 q^{16} + 4 q^{17} + 8 q^{19} + 4 q^{21} + 8 q^{23} + 8 q^{24} + 4 q^{26} - 24 q^{27} - 16 q^{30} - 8 q^{31} - 32 q^{33} - 24 q^{34} - 24 q^{35} - 12 q^{36} - 8 q^{37} - 60 q^{39} + 28 q^{41} - 8 q^{44} - 40 q^{45} - 20 q^{46} - 64 q^{50} + 8 q^{54} + 8 q^{55} + 28 q^{56} + 40 q^{57} + 4 q^{58} + 8 q^{59} + 4 q^{60} + 8 q^{61} + 32 q^{62} + 24 q^{65} + 32 q^{66} - 56 q^{69} + 112 q^{71} + 16 q^{72} + 8 q^{73} - 48 q^{74} - 40 q^{75} + 8 q^{76} - 8 q^{78} + 16 q^{79} + 12 q^{81} + 4 q^{83} - 4 q^{84} + 32 q^{85} + 16 q^{86} + 144 q^{87} - 88 q^{89} + 8 q^{90} - 8 q^{91} - 76 q^{93} - 8 q^{94} + 48 q^{95} - 4 q^{96} - 64 q^{97} - 40 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{11}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.258819 + 0.965926i 0.183013 + 0.683013i
\(3\) −0.264812 + 1.71169i −0.152889 + 0.988243i
\(4\) −0.866025 + 0.500000i −0.433013 + 0.250000i
\(5\) −0.429580 + 0.429580i −0.192114 + 0.192114i −0.796609 0.604495i \(-0.793375\pi\)
0.604495 + 0.796609i \(0.293375\pi\)
\(6\) −1.72190 + 0.187229i −0.702963 + 0.0764359i
\(7\) −0.965926 0.258819i −0.365086 0.0978244i
\(8\) −0.707107 0.707107i −0.250000 0.250000i
\(9\) −2.85975 0.906550i −0.953250 0.302183i
\(10\) −0.526126 0.303759i −0.166376 0.0960570i
\(11\) −1.44890 + 0.388232i −0.436860 + 0.117056i −0.470545 0.882376i \(-0.655943\pi\)
0.0336843 + 0.999433i \(0.489276\pi\)
\(12\) −0.626510 1.61477i −0.180858 0.466144i
\(13\) −1.82271 + 3.11091i −0.505527 + 0.862811i
\(14\) 1.00000i 0.267261i
\(15\) −0.621549 0.849065i −0.160483 0.219228i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −2.50234 4.33419i −0.606908 1.05119i −0.991747 0.128211i \(-0.959076\pi\)
0.384839 0.922984i \(-0.374257\pi\)
\(18\) 0.135502 2.99694i 0.0319381 0.706385i
\(19\) 0.744411 2.77818i 0.170780 0.637358i −0.826452 0.563007i \(-0.809645\pi\)
0.997232 0.0743518i \(-0.0236888\pi\)
\(20\) 0.157237 0.586817i 0.0351593 0.131216i
\(21\) 0.698806 1.58483i 0.152492 0.345837i
\(22\) −0.750007 1.29905i −0.159902 0.276958i
\(23\) −2.87235 + 4.97505i −0.598925 + 1.03737i 0.394055 + 0.919087i \(0.371072\pi\)
−0.992980 + 0.118282i \(0.962261\pi\)
\(24\) 1.39760 1.02310i 0.285283 0.208839i
\(25\) 4.63092i 0.926184i
\(26\) −3.47666 0.955436i −0.681828 0.187376i
\(27\) 2.30902 4.65493i 0.444372 0.895842i
\(28\) 0.965926 0.258819i 0.182543 0.0489122i
\(29\) −5.53687 3.19672i −1.02817 0.593615i −0.111711 0.993741i \(-0.535633\pi\)
−0.916460 + 0.400125i \(0.868967\pi\)
\(30\) 0.659265 0.820125i 0.120365 0.149734i
\(31\) 2.86572 + 2.86572i 0.514699 + 0.514699i 0.915963 0.401263i \(-0.131429\pi\)
−0.401263 + 0.915963i \(0.631429\pi\)
\(32\) 0.965926 + 0.258819i 0.170753 + 0.0457532i
\(33\) −0.280846 2.58288i −0.0488890 0.449621i
\(34\) 3.53885 3.53885i 0.606908 0.606908i
\(35\) 0.526126 0.303759i 0.0889315 0.0513446i
\(36\) 2.92989 0.644780i 0.488315 0.107463i
\(37\) 2.29499 + 8.56502i 0.377294 + 1.40808i 0.849964 + 0.526841i \(0.176624\pi\)
−0.472670 + 0.881240i \(0.656710\pi\)
\(38\) 2.87618 0.466579
\(39\) −4.84223 3.94371i −0.775377 0.631498i
\(40\) 0.607518 0.0960570
\(41\) −0.973141 3.63181i −0.151979 0.567194i −0.999345 0.0361844i \(-0.988480\pi\)
0.847366 0.531009i \(-0.178187\pi\)
\(42\) 1.71169 + 0.264812i 0.264119 + 0.0408613i
\(43\) 9.35271 5.39979i 1.42628 0.823460i 0.429451 0.903090i \(-0.358707\pi\)
0.996824 + 0.0796301i \(0.0253739\pi\)
\(44\) 1.06067 1.06067i 0.159902 0.159902i
\(45\) 1.61793 0.839056i 0.241186 0.125079i
\(46\) −5.54895 1.48684i −0.818147 0.219222i
\(47\) −7.10501 7.10501i −1.03637 1.03637i −0.999313 0.0370599i \(-0.988201\pi\)
−0.0370599 0.999313i \(-0.511799\pi\)
\(48\) 1.34996 + 1.08518i 0.194850 + 0.156632i
\(49\) 0.866025 + 0.500000i 0.123718 + 0.0714286i
\(50\) −4.47313 + 1.19857i −0.632596 + 0.169504i
\(51\) 8.08143 3.13549i 1.13163 0.439056i
\(52\) 0.0230552 3.60548i 0.00319718 0.499990i
\(53\) 7.88465i 1.08304i 0.840688 + 0.541520i \(0.182151\pi\)
−0.840688 + 0.541520i \(0.817849\pi\)
\(54\) 5.09394 + 1.02556i 0.693197 + 0.139561i
\(55\) 0.455643 0.789196i 0.0614389 0.106415i
\(56\) 0.500000 + 0.866025i 0.0668153 + 0.115728i
\(57\) 4.55825 + 2.00989i 0.603755 + 0.266217i
\(58\) 1.65474 6.17558i 0.217278 0.810894i
\(59\) −3.35057 + 12.5045i −0.436207 + 1.62795i 0.301954 + 0.953323i \(0.402361\pi\)
−0.738161 + 0.674625i \(0.764305\pi\)
\(60\) 0.962810 + 0.424537i 0.124298 + 0.0548075i
\(61\) −0.879168 1.52276i −0.112566 0.194970i 0.804238 0.594307i \(-0.202574\pi\)
−0.916804 + 0.399337i \(0.869240\pi\)
\(62\) −2.02637 + 3.50978i −0.257350 + 0.445743i
\(63\) 2.52767 + 1.61582i 0.318457 + 0.203574i
\(64\) 1.00000i 0.125000i
\(65\) −0.553386 2.11938i −0.0686391 0.262877i
\(66\) 2.42218 0.939774i 0.298150 0.115678i
\(67\) −10.7168 + 2.87155i −1.30926 + 0.350815i −0.844944 0.534855i \(-0.820366\pi\)
−0.464316 + 0.885670i \(0.653700\pi\)
\(68\) 4.33419 + 2.50234i 0.525597 + 0.303454i
\(69\) −7.75510 6.23401i −0.933604 0.750486i
\(70\) 0.429580 + 0.429580i 0.0513446 + 0.0513446i
\(71\) 5.54815 + 1.48662i 0.658444 + 0.176430i 0.572544 0.819874i \(-0.305957\pi\)
0.0859005 + 0.996304i \(0.472623\pi\)
\(72\) 1.38112 + 2.66318i 0.162767 + 0.313858i
\(73\) −10.8592 + 10.8592i −1.27097 + 1.27097i −0.325388 + 0.945580i \(0.605495\pi\)
−0.945580 + 0.325388i \(0.894505\pi\)
\(74\) −7.67919 + 4.43358i −0.892687 + 0.515393i
\(75\) −7.92669 1.22632i −0.915296 0.141603i
\(76\) 0.744411 + 2.77818i 0.0853898 + 0.318679i
\(77\) 1.50001 0.170942
\(78\) 2.55607 5.69794i 0.289418 0.645165i
\(79\) 3.68438 0.414525 0.207262 0.978285i \(-0.433545\pi\)
0.207262 + 0.978285i \(0.433545\pi\)
\(80\) 0.157237 + 0.586817i 0.0175797 + 0.0656082i
\(81\) 7.35634 + 5.18501i 0.817371 + 0.576112i
\(82\) 3.25619 1.87996i 0.359586 0.207607i
\(83\) 5.15594 5.15594i 0.565938 0.565938i −0.365050 0.930988i \(-0.618948\pi\)
0.930988 + 0.365050i \(0.118948\pi\)
\(84\) 0.187229 + 1.72190i 0.0204284 + 0.187875i
\(85\) 2.93684 + 0.786923i 0.318545 + 0.0853538i
\(86\) 7.63646 + 7.63646i 0.823460 + 0.823460i
\(87\) 6.93801 8.63087i 0.743833 0.925327i
\(88\) 1.29905 + 0.750007i 0.138479 + 0.0799510i
\(89\) −6.57035 + 1.76052i −0.696455 + 0.186615i −0.589642 0.807664i \(-0.700731\pi\)
−0.106813 + 0.994279i \(0.534065\pi\)
\(90\) 1.22922 + 1.34563i 0.129571 + 0.141842i
\(91\) 2.56576 2.53316i 0.268965 0.265547i
\(92\) 5.74469i 0.598925i
\(93\) −5.66410 + 4.14635i −0.587340 + 0.429956i
\(94\) 5.02400 8.70183i 0.518186 0.897525i
\(95\) 0.873667 + 1.51324i 0.0896363 + 0.155255i
\(96\) −0.698806 + 1.58483i −0.0713216 + 0.161751i
\(97\) −0.785006 + 2.92968i −0.0797053 + 0.297464i −0.994259 0.107000i \(-0.965875\pi\)
0.914554 + 0.404464i \(0.132542\pi\)
\(98\) −0.258819 + 0.965926i −0.0261447 + 0.0975732i
\(99\) 4.49545 + 0.203255i 0.451810 + 0.0204279i
\(100\) −2.31546 4.01050i −0.231546 0.401050i
\(101\) −2.55267 + 4.42136i −0.254001 + 0.439942i −0.964624 0.263631i \(-0.915080\pi\)
0.710623 + 0.703573i \(0.248413\pi\)
\(102\) 5.12028 + 6.99453i 0.506983 + 0.692562i
\(103\) 5.89303i 0.580658i 0.956927 + 0.290329i \(0.0937647\pi\)
−0.956927 + 0.290329i \(0.906235\pi\)
\(104\) 3.48859 0.910897i 0.342084 0.0893208i
\(105\) 0.380616 + 0.981002i 0.0371443 + 0.0957360i
\(106\) −7.61599 + 2.04070i −0.739730 + 0.198210i
\(107\) 9.22495 + 5.32603i 0.891810 + 0.514886i 0.874534 0.484964i \(-0.161167\pi\)
0.0172756 + 0.999851i \(0.494501\pi\)
\(108\) 0.327793 + 5.18580i 0.0315419 + 0.499004i
\(109\) −0.363108 0.363108i −0.0347794 0.0347794i 0.689503 0.724283i \(-0.257829\pi\)
−0.724283 + 0.689503i \(0.757829\pi\)
\(110\) 0.880234 + 0.235858i 0.0839270 + 0.0224882i
\(111\) −15.2684 + 1.66019i −1.44921 + 0.157578i
\(112\) −0.707107 + 0.707107i −0.0668153 + 0.0668153i
\(113\) −13.3023 + 7.68008i −1.25137 + 0.722481i −0.971382 0.237521i \(-0.923665\pi\)
−0.279992 + 0.960002i \(0.590332\pi\)
\(114\) −0.761647 + 4.92313i −0.0713348 + 0.461093i
\(115\) −0.903279 3.37108i −0.0842312 0.314355i
\(116\) 6.39343 0.593615
\(117\) 8.03267 7.24404i 0.742621 0.669712i
\(118\) −12.9456 −1.19174
\(119\) 1.29531 + 4.83416i 0.118741 + 0.443147i
\(120\) −0.160878 + 1.03988i −0.0146861 + 0.0949277i
\(121\) −7.57769 + 4.37498i −0.688881 + 0.397725i
\(122\) 1.24333 1.24333i 0.112566 0.112566i
\(123\) 6.47423 0.703967i 0.583761 0.0634746i
\(124\) −3.91465 1.04893i −0.351546 0.0941965i
\(125\) −4.13725 4.13725i −0.370047 0.370047i
\(126\) −0.906550 + 2.85975i −0.0807619 + 0.254767i
\(127\) 9.14243 + 5.27839i 0.811260 + 0.468381i 0.847393 0.530966i \(-0.178171\pi\)
−0.0361335 + 0.999347i \(0.511504\pi\)
\(128\) −0.965926 + 0.258819i −0.0853766 + 0.0228766i
\(129\) 6.76605 + 17.4388i 0.595717 + 1.53540i
\(130\) 1.90394 1.08307i 0.166986 0.0949912i
\(131\) 12.2294i 1.06848i −0.845331 0.534242i \(-0.820597\pi\)
0.845331 0.534242i \(-0.179403\pi\)
\(132\) 1.53466 + 2.09641i 0.133575 + 0.182469i
\(133\) −1.43809 + 2.49085i −0.124698 + 0.215984i
\(134\) −5.54740 9.60838i −0.479222 0.830037i
\(135\) 1.00776 + 2.99158i 0.0867338 + 0.257474i
\(136\) −1.29531 + 4.83416i −0.111072 + 0.414526i
\(137\) −4.39879 + 16.4165i −0.375814 + 1.40256i 0.476337 + 0.879263i \(0.341964\pi\)
−0.852151 + 0.523295i \(0.824703\pi\)
\(138\) 4.01442 9.10433i 0.341730 0.775012i
\(139\) −3.35001 5.80239i −0.284144 0.492152i 0.688257 0.725467i \(-0.258376\pi\)
−0.972401 + 0.233315i \(0.925043\pi\)
\(140\) −0.303759 + 0.526126i −0.0256723 + 0.0444658i
\(141\) 14.0431 10.2801i 1.18264 0.865739i
\(142\) 5.74387i 0.482015i
\(143\) 1.43317 5.21503i 0.119847 0.436103i
\(144\) −2.21497 + 2.02334i −0.184581 + 0.168612i
\(145\) 3.75178 1.00529i 0.311568 0.0834844i
\(146\) −13.2997 7.67859i −1.10069 0.635484i
\(147\) −1.08518 + 1.34996i −0.0895039 + 0.111343i
\(148\) −6.27003 6.27003i −0.515393 0.515393i
\(149\) 20.1156 + 5.38997i 1.64794 + 0.441564i 0.959034 0.283289i \(-0.0914257\pi\)
0.688904 + 0.724853i \(0.258092\pi\)
\(150\) −0.867043 7.97399i −0.0707938 0.651074i
\(151\) 1.83850 1.83850i 0.149615 0.149615i −0.628331 0.777946i \(-0.716262\pi\)
0.777946 + 0.628331i \(0.216262\pi\)
\(152\) −2.49085 + 1.43809i −0.202034 + 0.116645i
\(153\) 3.22692 + 14.6632i 0.260881 + 1.18545i
\(154\) 0.388232 + 1.44890i 0.0312846 + 0.116756i
\(155\) −2.46212 −0.197762
\(156\) 6.16535 + 0.994236i 0.493623 + 0.0796026i
\(157\) 20.5606 1.64092 0.820459 0.571706i \(-0.193718\pi\)
0.820459 + 0.571706i \(0.193718\pi\)
\(158\) 0.953587 + 3.55883i 0.0758633 + 0.283126i
\(159\) −13.4961 2.08795i −1.07031 0.165585i
\(160\) −0.526126 + 0.303759i −0.0415939 + 0.0240143i
\(161\) 4.06211 4.06211i 0.320139 0.320139i
\(162\) −3.10437 + 8.44765i −0.243903 + 0.663710i
\(163\) −6.48922 1.73878i −0.508275 0.136192i −0.00443696 0.999990i \(-0.501412\pi\)
−0.503838 + 0.863798i \(0.668079\pi\)
\(164\) 2.65867 + 2.65867i 0.207607 + 0.207607i
\(165\) 1.23020 + 0.988907i 0.0957708 + 0.0769863i
\(166\) 6.31471 + 3.64580i 0.490116 + 0.282969i
\(167\) 6.75418 1.80978i 0.522654 0.140045i 0.0121601 0.999926i \(-0.496129\pi\)
0.510494 + 0.859881i \(0.329463\pi\)
\(168\) −1.61477 + 0.626510i −0.124582 + 0.0483363i
\(169\) −6.35549 11.3405i −0.488884 0.872349i
\(170\) 3.04044i 0.233191i
\(171\) −4.64739 + 7.27006i −0.355395 + 0.555955i
\(172\) −5.39979 + 9.35271i −0.411730 + 0.713138i
\(173\) −4.19368 7.26366i −0.318839 0.552246i 0.661407 0.750027i \(-0.269960\pi\)
−0.980246 + 0.197781i \(0.936626\pi\)
\(174\) 10.1325 + 4.46777i 0.768141 + 0.338701i
\(175\) 1.19857 4.47313i 0.0906034 0.338137i
\(176\) −0.388232 + 1.44890i −0.0292641 + 0.109215i
\(177\) −20.5165 9.04647i −1.54212 0.679974i
\(178\) −3.40106 5.89081i −0.254920 0.441535i
\(179\) 8.32290 14.4157i 0.622083 1.07748i −0.367015 0.930215i \(-0.619620\pi\)
0.989097 0.147264i \(-0.0470465\pi\)
\(180\) −0.981638 + 1.53561i −0.0731670 + 0.114457i
\(181\) 4.99273i 0.371106i −0.982634 0.185553i \(-0.940592\pi\)
0.982634 0.185553i \(-0.0594077\pi\)
\(182\) 3.11091 + 1.82271i 0.230596 + 0.135108i
\(183\) 2.83931 1.10162i 0.209888 0.0814338i
\(184\) 5.54895 1.48684i 0.409074 0.109611i
\(185\) −4.66524 2.69348i −0.342996 0.198029i
\(186\) −5.47104 4.39795i −0.401156 0.322473i
\(187\) 5.30832 + 5.30832i 0.388183 + 0.388183i
\(188\) 9.70563 + 2.60062i 0.707856 + 0.189669i
\(189\) −3.43513 + 3.89870i −0.249869 + 0.283589i
\(190\) −1.23555 + 1.23555i −0.0896363 + 0.0896363i
\(191\) −0.216953 + 0.125258i −0.0156981 + 0.00906332i −0.507829 0.861458i \(-0.669552\pi\)
0.492130 + 0.870521i \(0.336218\pi\)
\(192\) −1.71169 0.264812i −0.123530 0.0191111i
\(193\) 2.68125 + 10.0066i 0.193001 + 0.720288i 0.992775 + 0.119988i \(0.0382856\pi\)
−0.799775 + 0.600300i \(0.795048\pi\)
\(194\) −3.03303 −0.217759
\(195\) 3.77426 0.385987i 0.270281 0.0276411i
\(196\) −1.00000 −0.0714286
\(197\) 2.69377 + 10.0533i 0.191923 + 0.716267i 0.993042 + 0.117761i \(0.0375718\pi\)
−0.801119 + 0.598505i \(0.795762\pi\)
\(198\) 0.967179 + 4.39488i 0.0687344 + 0.312330i
\(199\) −2.17443 + 1.25541i −0.154141 + 0.0889936i −0.575087 0.818092i \(-0.695032\pi\)
0.420945 + 0.907086i \(0.361698\pi\)
\(200\) 3.27456 3.27456i 0.231546 0.231546i
\(201\) −2.07727 19.1042i −0.146519 1.34750i
\(202\) −4.93139 1.32136i −0.346971 0.0929706i
\(203\) 4.52084 + 4.52084i 0.317301 + 0.317301i
\(204\) −5.43098 + 6.75613i −0.380244 + 0.473023i
\(205\) 1.97820 + 1.14211i 0.138163 + 0.0797685i
\(206\) −5.69223 + 1.52523i −0.396597 + 0.106268i
\(207\) 12.7243 11.6235i 0.884401 0.807887i
\(208\) 1.78277 + 3.13396i 0.123613 + 0.217301i
\(209\) 4.31432i 0.298428i
\(210\) −0.849065 + 0.621549i −0.0585910 + 0.0428910i
\(211\) 11.0701 19.1740i 0.762097 1.31999i −0.179671 0.983727i \(-0.557503\pi\)
0.941768 0.336263i \(-0.109163\pi\)
\(212\) −3.94233 6.82831i −0.270760 0.468970i
\(213\) −4.01385 + 9.10303i −0.275024 + 0.623729i
\(214\) −2.75695 + 10.2891i −0.188462 + 0.703348i
\(215\) −1.69810 + 6.33738i −0.115809 + 0.432206i
\(216\) −4.92426 + 1.65881i −0.335054 + 0.112868i
\(217\) −2.02637 3.50978i −0.137559 0.238259i
\(218\) 0.256756 0.444715i 0.0173897 0.0301199i
\(219\) −15.7119 21.4631i −1.06171 1.45034i
\(220\) 0.911286i 0.0614389i
\(221\) 18.0443 + 0.115384i 1.21379 + 0.00776156i
\(222\) −5.55537 14.3184i −0.372852 0.960990i
\(223\) 9.49542 2.54429i 0.635860 0.170378i 0.0735328 0.997293i \(-0.476573\pi\)
0.562328 + 0.826914i \(0.309906\pi\)
\(224\) −0.866025 0.500000i −0.0578638 0.0334077i
\(225\) 4.19816 13.2433i 0.279877 0.882885i
\(226\) −10.8613 10.8613i −0.722481 0.722481i
\(227\) −5.59370 1.49883i −0.371267 0.0994807i 0.0683609 0.997661i \(-0.478223\pi\)
−0.439628 + 0.898180i \(0.644890\pi\)
\(228\) −4.95251 + 0.538505i −0.327988 + 0.0356634i
\(229\) 1.44073 1.44073i 0.0952059 0.0952059i −0.657900 0.753106i \(-0.728555\pi\)
0.753106 + 0.657900i \(0.228555\pi\)
\(230\) 3.02243 1.74500i 0.199293 0.115062i
\(231\) −0.397221 + 2.56756i −0.0261352 + 0.168933i
\(232\) 1.65474 + 6.17558i 0.108639 + 0.405447i
\(233\) 12.7341 0.834241 0.417120 0.908851i \(-0.363039\pi\)
0.417120 + 0.908851i \(0.363039\pi\)
\(234\) 9.07622 + 5.88407i 0.593331 + 0.384654i
\(235\) 6.10435 0.398204
\(236\) −3.35057 12.5045i −0.218104 0.813974i
\(237\) −0.975666 + 6.30650i −0.0633763 + 0.409651i
\(238\) −4.33419 + 2.50234i −0.280944 + 0.162203i
\(239\) −13.2419 + 13.2419i −0.856548 + 0.856548i −0.990930 0.134382i \(-0.957095\pi\)
0.134382 + 0.990930i \(0.457095\pi\)
\(240\) −1.04609 + 0.113745i −0.0675246 + 0.00734221i
\(241\) −15.6813 4.20178i −1.01012 0.270661i −0.284440 0.958694i \(-0.591808\pi\)
−0.725679 + 0.688033i \(0.758474\pi\)
\(242\) −6.18715 6.18715i −0.397725 0.397725i
\(243\) −10.8232 + 11.2187i −0.694306 + 0.719680i
\(244\) 1.52276 + 0.879168i 0.0974850 + 0.0562830i
\(245\) −0.586817 + 0.157237i −0.0374904 + 0.0100455i
\(246\) 2.35563 + 6.07142i 0.150190 + 0.387100i
\(247\) 7.28582 + 7.37960i 0.463586 + 0.469553i
\(248\) 4.05275i 0.257350i
\(249\) 7.46000 + 10.1907i 0.472758 + 0.645810i
\(250\) 2.92548 5.06708i 0.185024 0.320470i
\(251\) −0.537453 0.930896i −0.0339237 0.0587576i 0.848565 0.529091i \(-0.177467\pi\)
−0.882489 + 0.470333i \(0.844134\pi\)
\(252\) −2.99694 0.135502i −0.188789 0.00853582i
\(253\) 2.23027 8.32350i 0.140216 0.523294i
\(254\) −2.73229 + 10.1971i −0.171439 + 0.639820i
\(255\) −2.12468 + 4.81856i −0.133052 + 0.301750i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 10.8936 18.8683i 0.679524 1.17697i −0.295601 0.955312i \(-0.595520\pi\)
0.975125 0.221658i \(-0.0711468\pi\)
\(258\) −15.0935 + 11.0490i −0.939677 + 0.687881i
\(259\) 8.86716i 0.550978i
\(260\) 1.53894 + 1.55875i 0.0954408 + 0.0966693i
\(261\) 12.9361 + 14.1613i 0.800724 + 0.876560i
\(262\) 11.8127 3.16519i 0.729789 0.195546i
\(263\) −7.39268 4.26816i −0.455852 0.263186i 0.254447 0.967087i \(-0.418107\pi\)
−0.710298 + 0.703901i \(0.751440\pi\)
\(264\) −1.62778 + 2.02496i −0.100183 + 0.124628i
\(265\) −3.38709 3.38709i −0.208067 0.208067i
\(266\) −2.77818 0.744411i −0.170341 0.0456428i
\(267\) −1.27355 11.7126i −0.0779403 0.716799i
\(268\) 7.84521 7.84521i 0.479222 0.479222i
\(269\) −13.8882 + 8.01838i −0.846782 + 0.488890i −0.859564 0.511029i \(-0.829265\pi\)
0.0127821 + 0.999918i \(0.495931\pi\)
\(270\) −2.62882 + 1.74769i −0.159985 + 0.106361i
\(271\) −2.03506 7.59496i −0.123621 0.461361i 0.876165 0.482010i \(-0.160093\pi\)
−0.999787 + 0.0206495i \(0.993427\pi\)
\(272\) −5.00469 −0.303454
\(273\) 3.65653 + 5.06259i 0.221303 + 0.306402i
\(274\) −16.9956 −1.02674
\(275\) −1.79787 6.70975i −0.108416 0.404613i
\(276\) 9.83312 + 1.52126i 0.591884 + 0.0915691i
\(277\) 16.7024 9.64316i 1.00355 0.579401i 0.0942548 0.995548i \(-0.469953\pi\)
0.909297 + 0.416147i \(0.136620\pi\)
\(278\) 4.73763 4.73763i 0.284144 0.284144i
\(279\) −5.59733 10.7932i −0.335104 0.646170i
\(280\) −0.586817 0.157237i −0.0350690 0.00939672i
\(281\) −16.0700 16.0700i −0.958654 0.958654i 0.0405247 0.999179i \(-0.487097\pi\)
−0.999179 + 0.0405247i \(0.987097\pi\)
\(282\) 13.5644 + 10.9039i 0.807748 + 0.649316i
\(283\) −12.6510 7.30408i −0.752026 0.434182i 0.0743994 0.997229i \(-0.476296\pi\)
−0.826426 + 0.563046i \(0.809629\pi\)
\(284\) −5.54815 + 1.48662i −0.329222 + 0.0882148i
\(285\) −2.82154 + 1.09472i −0.167134 + 0.0648458i
\(286\) 5.40827 + 0.0345831i 0.319798 + 0.00204494i
\(287\) 3.75993i 0.221941i
\(288\) −2.52767 1.61582i −0.148945 0.0952129i
\(289\) −4.02345 + 6.96883i −0.236674 + 0.409931i
\(290\) 1.94206 + 3.36375i 0.114042 + 0.197526i
\(291\) −4.80682 2.11950i −0.281781 0.124247i
\(292\) 3.97473 14.8339i 0.232603 0.868088i
\(293\) −2.19074 + 8.17594i −0.127984 + 0.477643i −0.999928 0.0119617i \(-0.996192\pi\)
0.871944 + 0.489605i \(0.162859\pi\)
\(294\) −1.58483 0.698806i −0.0924289 0.0407552i
\(295\) −3.93235 6.81102i −0.228950 0.396553i
\(296\) 4.43358 7.67919i 0.257697 0.446344i
\(297\) −1.53836 + 7.64098i −0.0892645 + 0.443375i
\(298\) 20.8253i 1.20637i
\(299\) −10.2415 18.0036i −0.592280 1.04118i
\(300\) 7.47788 2.90132i 0.431735 0.167508i
\(301\) −10.4316 + 2.79514i −0.601267 + 0.161109i
\(302\) 2.25169 + 1.30001i 0.129570 + 0.0748073i
\(303\) −6.89201 5.54021i −0.395936 0.318277i
\(304\) −2.03377 2.03377i −0.116645 0.116645i
\(305\) 1.03182 + 0.276476i 0.0590820 + 0.0158310i
\(306\) −13.3284 + 6.91208i −0.761932 + 0.395137i
\(307\) 5.74908 5.74908i 0.328117 0.328117i −0.523753 0.851870i \(-0.675469\pi\)
0.851870 + 0.523753i \(0.175469\pi\)
\(308\) −1.29905 + 0.750007i −0.0740203 + 0.0427356i
\(309\) −10.0870 1.56054i −0.573831 0.0887762i
\(310\) −0.637243 2.37822i −0.0361929 0.135074i
\(311\) 26.7307 1.51576 0.757879 0.652395i \(-0.226236\pi\)
0.757879 + 0.652395i \(0.226236\pi\)
\(312\) 0.635351 + 6.21259i 0.0359697 + 0.351719i
\(313\) 16.9273 0.956789 0.478395 0.878145i \(-0.341219\pi\)
0.478395 + 0.878145i \(0.341219\pi\)
\(314\) 5.32148 + 19.8601i 0.300309 + 1.12077i
\(315\) −1.77996 + 0.391715i −0.100289 + 0.0220707i
\(316\) −3.19076 + 1.84219i −0.179494 + 0.103631i
\(317\) 5.59592 5.59592i 0.314298 0.314298i −0.532274 0.846572i \(-0.678662\pi\)
0.846572 + 0.532274i \(0.178662\pi\)
\(318\) −1.47624 13.5766i −0.0827832 0.761338i
\(319\) 9.26346 + 2.48214i 0.518654 + 0.138973i
\(320\) −0.429580 0.429580i −0.0240143 0.0240143i
\(321\) −11.5594 + 14.3798i −0.645181 + 0.802604i
\(322\) 4.97505 + 2.87235i 0.277249 + 0.160070i
\(323\) −13.9039 + 3.72555i −0.773635 + 0.207295i
\(324\) −8.96328 0.812182i −0.497960 0.0451212i
\(325\) −14.4064 8.44081i −0.799122 0.468212i
\(326\) 6.71813i 0.372083i
\(327\) 0.717683 0.525372i 0.0396879 0.0290532i
\(328\) −1.87996 + 3.25619i −0.103804 + 0.179793i
\(329\) 5.02400 + 8.70183i 0.276982 + 0.479747i
\(330\) −0.636812 + 1.44423i −0.0350553 + 0.0795021i
\(331\) −5.58301 + 20.8361i −0.306870 + 1.14525i 0.624454 + 0.781062i \(0.285322\pi\)
−0.931324 + 0.364193i \(0.881345\pi\)
\(332\) −1.88720 + 7.04314i −0.103574 + 0.386543i
\(333\) 1.20152 26.5743i 0.0658428 1.45626i
\(334\) 3.49622 + 6.05563i 0.191305 + 0.331349i
\(335\) 3.37015 5.83726i 0.184131 0.318924i
\(336\) −1.02310 1.39760i −0.0558145 0.0762451i
\(337\) 26.6748i 1.45307i 0.687129 + 0.726535i \(0.258871\pi\)
−0.687129 + 0.726535i \(0.741129\pi\)
\(338\) 9.30919 9.07408i 0.506353 0.493565i
\(339\) −9.62330 24.8031i −0.522666 1.34712i
\(340\) −2.93684 + 0.786923i −0.159272 + 0.0426769i
\(341\) −5.26472 3.03959i −0.285101 0.164603i
\(342\) −8.22517 2.60740i −0.444766 0.140992i
\(343\) −0.707107 0.707107i −0.0381802 0.0381802i
\(344\) −10.4316 2.79514i −0.562434 0.150704i
\(345\) 6.00944 0.653430i 0.323537 0.0351795i
\(346\) 5.93075 5.93075i 0.318839 0.318839i
\(347\) 11.0636 6.38760i 0.593928 0.342904i −0.172721 0.984971i \(-0.555256\pi\)
0.766649 + 0.642066i \(0.221923\pi\)
\(348\) −1.69306 + 10.9436i −0.0907573 + 0.586636i
\(349\) −7.64398 28.5277i −0.409173 1.52705i −0.796227 0.604997i \(-0.793174\pi\)
0.387054 0.922057i \(-0.373493\pi\)
\(350\) 4.63092 0.247533
\(351\) 10.2724 + 15.6677i 0.548300 + 0.836282i
\(352\) −1.50001 −0.0799510
\(353\) −5.52047 20.6027i −0.293825 1.09657i −0.942146 0.335203i \(-0.891195\pi\)
0.648321 0.761367i \(-0.275472\pi\)
\(354\) 3.42815 22.1588i 0.182204 1.17773i
\(355\) −3.02200 + 1.74475i −0.160391 + 0.0926018i
\(356\) 4.80983 4.80983i 0.254920 0.254920i
\(357\) −8.61758 + 0.937023i −0.456091 + 0.0495925i
\(358\) 16.0786 + 4.30825i 0.849781 + 0.227698i
\(359\) −6.63087 6.63087i −0.349964 0.349964i 0.510132 0.860096i \(-0.329597\pi\)
−0.860096 + 0.510132i \(0.829597\pi\)
\(360\) −1.73735 0.550745i −0.0915664 0.0290268i
\(361\) 9.29034 + 5.36378i 0.488965 + 0.282304i
\(362\) 4.82260 1.29221i 0.253470 0.0679172i
\(363\) −5.48194 14.1292i −0.287727 0.741589i
\(364\) −0.955436 + 3.47666i −0.0500784 + 0.182226i
\(365\) 9.32976i 0.488342i
\(366\) 1.79895 + 2.45744i 0.0940325 + 0.128453i
\(367\) 2.21303 3.83308i 0.115519 0.200085i −0.802468 0.596695i \(-0.796480\pi\)
0.917987 + 0.396610i \(0.129814\pi\)
\(368\) 2.87235 + 4.97505i 0.149731 + 0.259342i
\(369\) −0.509477 + 11.2683i −0.0265223 + 0.586603i
\(370\) 1.39425 5.20340i 0.0724835 0.270512i
\(371\) 2.04070 7.61599i 0.105948 0.395403i
\(372\) 2.83208 6.42289i 0.146837 0.333012i
\(373\) 9.33873 + 16.1752i 0.483541 + 0.837518i 0.999821 0.0189019i \(-0.00601701\pi\)
−0.516280 + 0.856420i \(0.672684\pi\)
\(374\) −3.75355 + 6.50134i −0.194092 + 0.336176i
\(375\) 8.17728 5.98609i 0.422273 0.309120i
\(376\) 10.0480i 0.518186i
\(377\) 20.0368 11.3980i 1.03195 0.587029i
\(378\) −4.65493 2.30902i −0.239424 0.118763i
\(379\) −28.2454 + 7.56834i −1.45087 + 0.388759i −0.896326 0.443395i \(-0.853774\pi\)
−0.554544 + 0.832154i \(0.687107\pi\)
\(380\) −1.51324 0.873667i −0.0776273 0.0448182i
\(381\) −11.4560 + 14.2512i −0.586907 + 0.730112i
\(382\) −0.177141 0.177141i −0.00906332 0.00906332i
\(383\) 22.1048 + 5.92296i 1.12950 + 0.302649i 0.774723 0.632301i \(-0.217889\pi\)
0.354779 + 0.934950i \(0.384556\pi\)
\(384\) −0.187229 1.72190i −0.00955449 0.0878704i
\(385\) −0.644376 + 0.644376i −0.0328405 + 0.0328405i
\(386\) −8.97164 + 5.17978i −0.456645 + 0.263644i
\(387\) −31.6416 + 6.96335i −1.60843 + 0.353967i
\(388\) −0.785006 2.92968i −0.0398526 0.148732i
\(389\) −6.65640 −0.337493 −0.168746 0.985659i \(-0.553972\pi\)
−0.168746 + 0.985659i \(0.553972\pi\)
\(390\) 1.34969 + 3.54576i 0.0683440 + 0.179546i
\(391\) 28.7504 1.45397
\(392\) −0.258819 0.965926i −0.0130723 0.0487866i
\(393\) 20.9329 + 3.23848i 1.05592 + 0.163360i
\(394\) −9.01352 + 5.20396i −0.454095 + 0.262172i
\(395\) −1.58273 + 1.58273i −0.0796360 + 0.0796360i
\(396\) −3.99480 + 2.07170i −0.200746 + 0.104107i
\(397\) −20.0004 5.35909i −1.00379 0.268965i −0.280758 0.959779i \(-0.590586\pi\)
−0.723033 + 0.690814i \(0.757253\pi\)
\(398\) −1.77542 1.77542i −0.0889936 0.0889936i
\(399\) −3.88273 3.12117i −0.194380 0.156254i
\(400\) 4.01050 + 2.31546i 0.200525 + 0.115773i
\(401\) −22.2943 + 5.97375i −1.11333 + 0.298315i −0.768180 0.640234i \(-0.778837\pi\)
−0.345146 + 0.938549i \(0.612171\pi\)
\(402\) 17.9156 6.95101i 0.893547 0.346685i
\(403\) −14.1384 + 3.69163i −0.704283 + 0.183893i
\(404\) 5.10535i 0.254001i
\(405\) −5.38751 + 0.932759i −0.267708 + 0.0463491i
\(406\) −3.19672 + 5.53687i −0.158650 + 0.274790i
\(407\) −6.65043 11.5189i −0.329650 0.570970i
\(408\) −7.93156 3.49731i −0.392671 0.173142i
\(409\) −6.78397 + 25.3181i −0.335446 + 1.25190i 0.567940 + 0.823070i \(0.307741\pi\)
−0.903385 + 0.428830i \(0.858926\pi\)
\(410\) −0.591201 + 2.20639i −0.0291973 + 0.108966i
\(411\) −26.9351 11.8766i −1.32861 0.585832i
\(412\) −2.94652 5.10352i −0.145164 0.251432i
\(413\) 6.47281 11.2112i 0.318506 0.551669i
\(414\) 14.5207 + 9.28237i 0.713654 + 0.456204i
\(415\) 4.42978i 0.217449i
\(416\) −2.56576 + 2.53316i −0.125797 + 0.124198i
\(417\) 10.8190 4.19763i 0.529808 0.205559i
\(418\) −4.16731 + 1.11663i −0.203830 + 0.0546160i
\(419\) 16.6593 + 9.61826i 0.813860 + 0.469883i 0.848295 0.529524i \(-0.177630\pi\)
−0.0344342 + 0.999407i \(0.510963\pi\)
\(420\) −0.820125 0.659265i −0.0400180 0.0321688i
\(421\) 6.20540 + 6.20540i 0.302433 + 0.302433i 0.841965 0.539532i \(-0.181399\pi\)
−0.539532 + 0.841965i \(0.681399\pi\)
\(422\) 21.3858 + 5.73030i 1.04104 + 0.278947i
\(423\) 13.8775 + 26.7596i 0.674748 + 1.30110i
\(424\) 5.57529 5.57529i 0.270760 0.270760i
\(425\) 20.0713 11.5882i 0.973600 0.562108i
\(426\) −9.83171 1.52104i −0.476348 0.0736948i
\(427\) 0.455091 + 1.69842i 0.0220234 + 0.0821924i
\(428\) −10.6521 −0.514886
\(429\) 8.54699 + 3.83414i 0.412653 + 0.185114i
\(430\) −6.56094 −0.316397
\(431\) 1.96096 + 7.31839i 0.0944559 + 0.352514i 0.996936 0.0782165i \(-0.0249225\pi\)
−0.902480 + 0.430731i \(0.858256\pi\)
\(432\) −2.87678 4.32714i −0.138409 0.208190i
\(433\) 3.29167 1.90044i 0.158187 0.0913295i −0.418817 0.908071i \(-0.637555\pi\)
0.577004 + 0.816741i \(0.304222\pi\)
\(434\) 2.86572 2.86572i 0.137559 0.137559i
\(435\) 0.727221 + 6.68808i 0.0348676 + 0.320669i
\(436\) 0.496015 + 0.132907i 0.0237548 + 0.00636508i
\(437\) 11.6834 + 11.6834i 0.558892 + 0.558892i
\(438\) 16.6653 20.7316i 0.796297 0.990592i
\(439\) 3.83310 + 2.21304i 0.182944 + 0.105623i 0.588675 0.808370i \(-0.299650\pi\)
−0.405731 + 0.913992i \(0.632983\pi\)
\(440\) −0.880234 + 0.235858i −0.0419635 + 0.0112441i
\(441\) −2.02334 2.21497i −0.0963496 0.105475i
\(442\) 4.55875 + 17.4593i 0.216838 + 0.830455i
\(443\) 0.744366i 0.0353659i −0.999844 0.0176829i \(-0.994371\pi\)
0.999844 0.0176829i \(-0.00562895\pi\)
\(444\) 12.3927 9.07195i 0.588132 0.430536i
\(445\) 2.06621 3.57877i 0.0979476 0.169650i
\(446\) 4.91519 + 8.51336i 0.232741 + 0.403119i
\(447\) −14.5528 + 33.0044i −0.688324 + 1.56105i
\(448\) 0.258819 0.965926i 0.0122281 0.0456357i
\(449\) −3.55603 + 13.2713i −0.167819 + 0.626310i 0.829845 + 0.557995i \(0.188429\pi\)
−0.997664 + 0.0683153i \(0.978238\pi\)
\(450\) 13.8786 + 0.627499i 0.654243 + 0.0295806i
\(451\) 2.81997 + 4.88433i 0.132787 + 0.229994i
\(452\) 7.68008 13.3023i 0.361241 0.625687i
\(453\) 2.66008 + 3.63379i 0.124981 + 0.170730i
\(454\) 5.79103i 0.271786i
\(455\) −0.0140064 + 2.19039i −0.000656631 + 0.102687i
\(456\) −1.80196 4.64438i −0.0843845 0.217493i
\(457\) 13.1858 3.53312i 0.616805 0.165272i 0.0631300 0.998005i \(-0.479892\pi\)
0.553675 + 0.832733i \(0.313225\pi\)
\(458\) 1.76452 + 1.01875i 0.0824507 + 0.0476029i
\(459\) −25.9533 + 1.64050i −1.21140 + 0.0765720i
\(460\) 2.46780 + 2.46780i 0.115062 + 0.115062i
\(461\) 18.9023 + 5.06487i 0.880370 + 0.235894i 0.670567 0.741849i \(-0.266051\pi\)
0.209803 + 0.977744i \(0.432718\pi\)
\(462\) −2.58288 + 0.280846i −0.120166 + 0.0130661i
\(463\) 1.12387 1.12387i 0.0522307 0.0522307i −0.680509 0.732740i \(-0.738241\pi\)
0.732740 + 0.680509i \(0.238241\pi\)
\(464\) −5.53687 + 3.19672i −0.257043 + 0.148404i
\(465\) 0.651997 4.21437i 0.0302356 0.195437i
\(466\) 3.29584 + 12.3002i 0.152677 + 0.569797i
\(467\) 27.6183 1.27802 0.639011 0.769198i \(-0.279344\pi\)
0.639011 + 0.769198i \(0.279344\pi\)
\(468\) −3.33448 + 10.2899i −0.154136 + 0.475649i
\(469\) 11.0948 0.512310
\(470\) 1.57992 + 5.89635i 0.0728763 + 0.271978i
\(471\) −5.44470 + 35.1934i −0.250878 + 1.62163i
\(472\) 11.2112 6.47281i 0.516039 0.297935i
\(473\) −11.4548 + 11.4548i −0.526692 + 0.526692i
\(474\) −6.34413 + 0.689822i −0.291396 + 0.0316846i
\(475\) 12.8655 + 3.44731i 0.590311 + 0.158173i
\(476\) −3.53885 3.53885i −0.162203 0.162203i
\(477\) 7.14783 22.5481i 0.327277 1.03241i
\(478\) −16.2180 9.36344i −0.741792 0.428274i
\(479\) −39.4326 + 10.5659i −1.80172 + 0.482770i −0.994245 0.107131i \(-0.965833\pi\)
−0.807476 + 0.589901i \(0.799167\pi\)
\(480\) −0.380616 0.981002i −0.0173727 0.0447764i
\(481\) −30.8281 8.47200i −1.40564 0.386290i
\(482\) 16.2344i 0.739459i
\(483\) 5.87737 + 8.02876i 0.267430 + 0.365321i
\(484\) 4.37498 7.57769i 0.198863 0.344440i
\(485\) −0.921310 1.59576i −0.0418345 0.0724595i
\(486\) −13.6377 7.55076i −0.618617 0.342509i
\(487\) −0.944238 + 3.52394i −0.0427875 + 0.159685i −0.984014 0.178091i \(-0.943008\pi\)
0.941227 + 0.337776i \(0.109675\pi\)
\(488\) −0.455091 + 1.69842i −0.0206010 + 0.0768840i
\(489\) 4.69467 10.6471i 0.212300 0.481477i
\(490\) −0.303759 0.526126i −0.0137224 0.0237680i
\(491\) 12.1442 21.0344i 0.548061 0.949269i −0.450347 0.892854i \(-0.648700\pi\)
0.998407 0.0564153i \(-0.0179671\pi\)
\(492\) −5.25486 + 3.84677i −0.236907 + 0.173426i
\(493\) 31.9971i 1.44108i
\(494\) −5.24244 + 8.94754i −0.235868 + 0.402569i
\(495\) −2.01847 + 1.84384i −0.0907235 + 0.0828745i
\(496\) 3.91465 1.04893i 0.175773 0.0470983i
\(497\) −4.97434 2.87193i −0.223129 0.128824i
\(498\) −7.91267 + 9.84336i −0.354575 + 0.441091i
\(499\) −6.04184 6.04184i −0.270470 0.270470i 0.558819 0.829289i \(-0.311254\pi\)
−0.829289 + 0.558819i \(0.811254\pi\)
\(500\) 5.65159 + 1.51434i 0.252747 + 0.0677233i
\(501\) 1.30919 + 12.0403i 0.0584902 + 0.537921i
\(502\) 0.760073 0.760073i 0.0339237 0.0339237i
\(503\) −16.7473 + 9.66904i −0.746724 + 0.431121i −0.824509 0.565849i \(-0.808548\pi\)
0.0777852 + 0.996970i \(0.475215\pi\)
\(504\) −0.644780 2.92989i −0.0287208 0.130508i
\(505\) −0.802751 2.99591i −0.0357219 0.133316i
\(506\) 8.61712 0.383078
\(507\) 21.0945 7.87551i 0.936838 0.349764i
\(508\) −10.5568 −0.468381
\(509\) 9.82494 + 36.6672i 0.435483 + 1.62524i 0.739908 + 0.672708i \(0.234869\pi\)
−0.304426 + 0.952536i \(0.598465\pi\)
\(510\) −5.20428 0.805143i −0.230449 0.0356523i
\(511\) 13.2997 7.67859i 0.588344 0.339681i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) −11.2134 9.88007i −0.495083 0.436216i
\(514\) 21.0448 + 5.63894i 0.928246 + 0.248723i
\(515\) −2.53153 2.53153i −0.111553 0.111553i
\(516\) −14.5790 11.7195i −0.641804 0.515920i
\(517\) 13.0529 + 7.53608i 0.574064 + 0.331436i
\(518\) 8.56502 2.29499i 0.376325 0.100836i
\(519\) 13.5437 5.25476i 0.594500 0.230658i
\(520\) −1.10733 + 1.88993i −0.0485595 + 0.0828790i
\(521\) 13.5471i 0.593507i −0.954954 0.296754i \(-0.904096\pi\)
0.954954 0.296754i \(-0.0959040\pi\)
\(522\) −10.3306 + 16.1605i −0.452159 + 0.707326i
\(523\) −21.9843 + 38.0779i −0.961305 + 1.66503i −0.242074 + 0.970258i \(0.577828\pi\)
−0.719231 + 0.694771i \(0.755506\pi\)
\(524\) 6.11468 + 10.5909i 0.267121 + 0.462667i
\(525\) 7.33920 + 3.23611i 0.320309 + 0.141236i
\(526\) 2.20936 8.24546i 0.0963328 0.359519i
\(527\) 5.24956 19.5916i 0.228674 0.853424i
\(528\) −2.37726 1.04822i −0.103457 0.0456179i
\(529\) −5.00074 8.66153i −0.217423 0.376588i
\(530\) 2.39503 4.14832i 0.104034 0.180192i
\(531\) 20.9177 32.7223i 0.907753 1.42003i
\(532\) 2.87618i 0.124698i
\(533\) 13.0720 + 3.59237i 0.566210 + 0.155603i
\(534\) 10.9839 4.26160i 0.475319 0.184417i
\(535\) −6.25081 + 1.67490i −0.270246 + 0.0724122i
\(536\) 9.60838 + 5.54740i 0.415019 + 0.239611i
\(537\) 22.4711 + 18.0636i 0.969702 + 0.779504i
\(538\) −11.3397 11.3397i −0.488890 0.488890i
\(539\) −1.44890 0.388232i −0.0624086 0.0167223i
\(540\) −2.36853 2.08690i −0.101925 0.0898061i
\(541\) −20.4730 + 20.4730i −0.880204 + 0.880204i −0.993555 0.113351i \(-0.963841\pi\)
0.113351 + 0.993555i \(0.463841\pi\)
\(542\) 6.80945 3.93144i 0.292491 0.168870i
\(543\) 8.54599 + 1.32213i 0.366743 + 0.0567381i
\(544\) −1.29531 4.83416i −0.0555359 0.207263i
\(545\) 0.311968 0.0133632
\(546\) −3.94371 + 4.84223i −0.168775 + 0.207228i
\(547\) −14.9014 −0.637139 −0.318569 0.947900i \(-0.603202\pi\)
−0.318569 + 0.947900i \(0.603202\pi\)
\(548\) −4.39879 16.4165i −0.187907 0.701279i
\(549\) 1.13374 + 5.15173i 0.0483868 + 0.219871i
\(550\) 6.01580 3.47322i 0.256515 0.148099i
\(551\) −13.0028 + 13.0028i −0.553936 + 0.553936i
\(552\) 1.07557 + 9.89179i 0.0457794 + 0.421023i
\(553\) −3.55883 0.953587i −0.151337 0.0405506i
\(554\) 13.6375 + 13.6375i 0.579401 + 0.579401i
\(555\) 5.84581 7.27218i 0.248141 0.308687i
\(556\) 5.80239 + 3.35001i 0.246076 + 0.142072i
\(557\) 5.20313 1.39418i 0.220464 0.0590731i −0.146896 0.989152i \(-0.546928\pi\)
0.367360 + 0.930079i \(0.380262\pi\)
\(558\) 8.97671 8.20009i 0.380014 0.347137i
\(559\) −0.248986 + 38.9376i −0.0105310 + 1.64689i
\(560\) 0.607518i 0.0256723i
\(561\) −10.4919 + 7.68049i −0.442968 + 0.324270i
\(562\) 11.3632 19.6816i 0.479327 0.830219i
\(563\) 20.4692 + 35.4536i 0.862672 + 1.49419i 0.869340 + 0.494214i \(0.164544\pi\)
−0.00666798 + 0.999978i \(0.502123\pi\)
\(564\) −7.02161 + 15.9243i −0.295663 + 0.670535i
\(565\) 2.41519 9.01361i 0.101608 0.379205i
\(566\) 3.78087 14.1104i 0.158922 0.593104i
\(567\) −5.76370 6.91229i −0.242052 0.290289i
\(568\) −2.87193 4.97434i −0.120504 0.208718i
\(569\) −18.8139 + 32.5867i −0.788722 + 1.36611i 0.138029 + 0.990428i \(0.455923\pi\)
−0.926750 + 0.375678i \(0.877410\pi\)
\(570\) −1.78769 2.44207i −0.0748781 0.102287i
\(571\) 46.6107i 1.95060i −0.220892 0.975298i \(-0.570897\pi\)
0.220892 0.975298i \(-0.429103\pi\)
\(572\) 1.36636 + 5.23294i 0.0571303 + 0.218800i
\(573\) −0.156950 0.404525i −0.00655670 0.0168993i
\(574\) −3.63181 + 0.973141i −0.151589 + 0.0406181i
\(575\) −23.0391 13.3016i −0.960795 0.554715i
\(576\) 0.906550 2.85975i 0.0377729 0.119156i
\(577\) −19.7783 19.7783i −0.823382 0.823382i 0.163210 0.986591i \(-0.447815\pi\)
−0.986591 + 0.163210i \(0.947815\pi\)
\(578\) −7.77272 2.08269i −0.323302 0.0866286i
\(579\) −17.8381 + 1.93961i −0.741328 + 0.0806074i
\(580\) −2.74649 + 2.74649i −0.114042 + 0.114042i
\(581\) −6.31471 + 3.64580i −0.261978 + 0.151253i
\(582\) 0.803181 5.19160i 0.0332929 0.215199i
\(583\) −3.06108 11.4241i −0.126777 0.473138i
\(584\) 15.3572 0.635484
\(585\) −0.338779 + 6.56257i −0.0140068 + 0.271329i
\(586\) −8.46435 −0.349659
\(587\) 4.80513 + 17.9330i 0.198329 + 0.740174i 0.991380 + 0.131019i \(0.0418248\pi\)
−0.793051 + 0.609156i \(0.791509\pi\)
\(588\) 0.264812 1.71169i 0.0109206 0.0705888i
\(589\) 10.0948 5.82822i 0.415948 0.240148i
\(590\) 5.56118 5.56118i 0.228950 0.228950i
\(591\) −17.9214 + 1.94866i −0.737189 + 0.0801574i
\(592\) 8.56502 + 2.29499i 0.352020 + 0.0943235i
\(593\) 23.0341 + 23.0341i 0.945899 + 0.945899i 0.998610 0.0527111i \(-0.0167862\pi\)
−0.0527111 + 0.998610i \(0.516786\pi\)
\(594\) −7.77878 + 0.491694i −0.319167 + 0.0201744i
\(595\) −2.63310 1.52022i −0.107946 0.0623229i
\(596\) −20.1156 + 5.38997i −0.823969 + 0.220782i
\(597\) −1.57305 4.05439i −0.0643808 0.165935i
\(598\) 14.7395 14.5522i 0.602743 0.595083i
\(599\) 18.7978i 0.768058i 0.923321 + 0.384029i \(0.125464\pi\)
−0.923321 + 0.384029i \(0.874536\pi\)
\(600\) 4.73788 + 6.47216i 0.193423 + 0.264225i
\(601\) 3.42337 5.92945i 0.139642 0.241867i −0.787719 0.616035i \(-0.788738\pi\)
0.927361 + 0.374167i \(0.122071\pi\)
\(602\) −5.39979 9.35271i −0.220079 0.381188i
\(603\) 33.2504 + 1.50337i 1.35406 + 0.0612218i
\(604\) −0.672936 + 2.51143i −0.0273814 + 0.102189i
\(605\) 1.37582 5.13463i 0.0559350 0.208752i
\(606\) 3.56765 8.09108i 0.144926 0.328678i
\(607\) 22.9741 + 39.7924i 0.932491 + 1.61512i 0.779048 + 0.626964i \(0.215703\pi\)
0.153443 + 0.988157i \(0.450964\pi\)
\(608\) 1.43809 2.49085i 0.0583223 0.101017i
\(609\) −8.93544 + 6.54109i −0.362082 + 0.265059i
\(610\) 1.06822i 0.0432510i
\(611\) 35.0534 9.15270i 1.41811 0.370279i
\(612\) −10.1262 11.0852i −0.409327 0.448094i
\(613\) −16.8630 + 4.51842i −0.681089 + 0.182497i −0.582745 0.812655i \(-0.698021\pi\)
−0.0983444 + 0.995152i \(0.531355\pi\)
\(614\) 7.04115 + 4.06521i 0.284158 + 0.164059i
\(615\) −2.47879 + 3.08361i −0.0999544 + 0.124343i
\(616\) −1.06067 1.06067i −0.0427356 0.0427356i
\(617\) 17.9619 + 4.81288i 0.723119 + 0.193759i 0.601563 0.798825i \(-0.294545\pi\)
0.121556 + 0.992585i \(0.461212\pi\)
\(618\) −1.10335 10.1472i −0.0443831 0.408181i
\(619\) 14.2267 14.2267i 0.571818 0.571818i −0.360818 0.932636i \(-0.617502\pi\)
0.932636 + 0.360818i \(0.117502\pi\)
\(620\) 2.13226 1.23106i 0.0856334 0.0494405i
\(621\) 16.5262 + 24.8581i 0.663174 + 0.997521i
\(622\) 6.91841 + 25.8199i 0.277403 + 1.03528i
\(623\) 6.80212 0.272521
\(624\) −5.83646 + 2.22164i −0.233646 + 0.0889368i
\(625\) −19.6000 −0.784002
\(626\) 4.38112 + 16.3505i 0.175105 + 0.653499i
\(627\) −7.38476 1.14248i −0.294919 0.0456263i
\(628\) −17.8060 + 10.2803i −0.710538 + 0.410229i
\(629\) 31.3795 31.3795i 1.25118 1.25118i
\(630\) −0.839056 1.61793i −0.0334288 0.0644598i
\(631\) 18.0970 + 4.84907i 0.720430 + 0.193039i 0.600363 0.799727i \(-0.295023\pi\)
0.120066 + 0.992766i \(0.461689\pi\)
\(632\) −2.60525 2.60525i −0.103631 0.103631i
\(633\) 29.8883 + 24.0260i 1.18796 + 0.954949i
\(634\) 6.85358 + 3.95692i 0.272190 + 0.157149i
\(635\) −6.19490 + 1.65992i −0.245837 + 0.0658718i
\(636\) 12.7319 4.93982i 0.504853 0.195876i
\(637\) −3.13396 + 1.78277i −0.124172 + 0.0706360i
\(638\) 9.59024i 0.379681i
\(639\) −14.5186 9.28104i −0.574348 0.367152i
\(640\) 0.303759 0.526126i 0.0120071 0.0207970i
\(641\) −12.0969 20.9525i −0.477799 0.827573i 0.521877 0.853021i \(-0.325232\pi\)
−0.999676 + 0.0254482i \(0.991899\pi\)
\(642\) −16.8816 7.44372i −0.666265 0.293780i
\(643\) −2.06922 + 7.72242i −0.0816020 + 0.304543i −0.994649 0.103311i \(-0.967056\pi\)
0.913047 + 0.407854i \(0.133723\pi\)
\(644\) −1.48684 + 5.54895i −0.0585895 + 0.218659i
\(645\) −10.3979 4.58482i −0.409419 0.180527i
\(646\) −7.19720 12.4659i −0.283170 0.490465i
\(647\) 12.4194 21.5110i 0.488256 0.845684i −0.511653 0.859192i \(-0.670967\pi\)
0.999909 + 0.0135085i \(0.00430002\pi\)
\(648\) −1.53536 8.86807i −0.0603146 0.348371i
\(649\) 19.4186i 0.762247i
\(650\) 4.42455 16.1001i 0.173545 0.631499i
\(651\) 6.54426 2.53909i 0.256490 0.0995147i
\(652\) 6.48922 1.73878i 0.254137 0.0680959i
\(653\) −31.1279 17.9717i −1.21813 0.703287i −0.253611 0.967306i \(-0.581618\pi\)
−0.964517 + 0.264019i \(0.914952\pi\)
\(654\) 0.693221 + 0.557252i 0.0271071 + 0.0217903i
\(655\) 5.25349 + 5.25349i 0.205271 + 0.205271i
\(656\) −3.63181 0.973141i −0.141798 0.0379948i
\(657\) 40.8989 21.2101i 1.59562 0.827485i
\(658\) −7.10501 + 7.10501i −0.276982 + 0.276982i
\(659\) −18.0111 + 10.3987i −0.701611 + 0.405075i −0.807947 0.589255i \(-0.799421\pi\)
0.106336 + 0.994330i \(0.466088\pi\)
\(660\) −1.55984 0.241319i −0.0607165 0.00939333i
\(661\) −8.51046 31.7615i −0.331018 1.23538i −0.908122 0.418706i \(-0.862484\pi\)
0.577103 0.816671i \(-0.304183\pi\)
\(662\) −21.5711 −0.838384
\(663\) −4.97584 + 30.8556i −0.193246 + 1.19833i
\(664\) −7.29160 −0.282969
\(665\) −0.452243 1.68779i −0.0175372 0.0654499i
\(666\) 25.9798 5.71737i 1.00670 0.221543i
\(667\) 31.8076 18.3641i 1.23160 0.711063i
\(668\) −4.94440 + 4.94440i −0.191305 + 0.191305i
\(669\) 1.84053 + 16.9270i 0.0711591 + 0.654434i
\(670\) 6.51062 + 1.74452i 0.251527 + 0.0673965i
\(671\) 1.86502 + 1.86502i 0.0719981 + 0.0719981i
\(672\) 1.08518 1.34996i 0.0418616 0.0520758i
\(673\) −27.0469 15.6155i −1.04258 0.601934i −0.122017 0.992528i \(-0.538936\pi\)
−0.920563 + 0.390594i \(0.872270\pi\)
\(674\) −25.7659 + 6.90396i −0.992466 + 0.265930i
\(675\) 21.5566 + 10.6929i 0.829715 + 0.411570i
\(676\) 11.1743 + 6.64344i 0.429780 + 0.255517i
\(677\) 2.63720i 0.101356i 0.998715 + 0.0506778i \(0.0161382\pi\)
−0.998715 + 0.0506778i \(0.983862\pi\)
\(678\) 21.4673 15.7149i 0.824447 0.603528i
\(679\) 1.51651 2.62668i 0.0581985 0.100803i
\(680\) −1.52022 2.63310i −0.0582977 0.100975i
\(681\) 4.04680 9.17777i 0.155074 0.351693i
\(682\) 1.57341 5.87203i 0.0602489 0.224852i
\(683\) −10.8450 + 40.4741i −0.414972 + 1.54870i 0.369919 + 0.929064i \(0.379385\pi\)
−0.784891 + 0.619633i \(0.787281\pi\)
\(684\) 0.389729 8.61975i 0.0149016 0.329584i
\(685\) −5.16258 8.94184i −0.197252 0.341650i
\(686\) 0.500000 0.866025i 0.0190901 0.0330650i
\(687\) 2.08455 + 2.84759i 0.0795306 + 0.108643i
\(688\) 10.7996i 0.411730i
\(689\) −24.5284 14.3714i −0.934459 0.547507i
\(690\) 2.18652 + 5.63556i 0.0832395 + 0.214542i
\(691\) 16.2923 4.36550i 0.619788 0.166072i 0.0647564 0.997901i \(-0.479373\pi\)
0.555031 + 0.831829i \(0.312706\pi\)
\(692\) 7.26366 + 4.19368i 0.276123 + 0.159420i
\(693\) −4.28966 1.35984i −0.162951 0.0516559i
\(694\) 9.03343 + 9.03343i 0.342904 + 0.342904i
\(695\) 3.93169 + 1.05349i 0.149137 + 0.0399612i
\(696\) −11.0089 + 1.19704i −0.417290 + 0.0453735i
\(697\) −13.3058 + 13.3058i −0.503994 + 0.503994i
\(698\) 25.5773 14.7670i 0.968114 0.558941i
\(699\) −3.37215 + 21.7969i −0.127546 + 0.824433i
\(700\) 1.19857 + 4.47313i 0.0453017 + 0.169068i
\(701\) −29.1790 −1.10208 −0.551038 0.834480i \(-0.685768\pi\)
−0.551038 + 0.834480i \(0.685768\pi\)
\(702\) −12.4752 + 13.9775i −0.470845 + 0.527546i
\(703\) 25.5036 0.961886
\(704\) −0.388232 1.44890i −0.0146321 0.0546076i
\(705\) −1.61650 + 10.4487i −0.0608810 + 0.393522i
\(706\) 18.4719 10.6647i 0.695198 0.401372i
\(707\) 3.61003 3.61003i 0.135769 0.135769i
\(708\) 22.2911 2.42379i 0.837750 0.0910918i
\(709\) 12.3313 + 3.30417i 0.463112 + 0.124091i 0.482828 0.875715i \(-0.339610\pi\)
−0.0197161 + 0.999806i \(0.506276\pi\)
\(710\) −2.46745 2.46745i −0.0926018 0.0926018i
\(711\) −10.5364 3.34007i −0.395146 0.125262i
\(712\) 5.89081 + 3.40106i 0.220768 + 0.127460i
\(713\) −22.4885 + 6.02577i −0.842200 + 0.225667i
\(714\) −3.13549 8.08143i −0.117343 0.302440i
\(715\) 1.62461 + 2.85593i 0.0607571 + 0.106806i
\(716\) 16.6458i 0.622083i
\(717\) −19.1594 26.1726i −0.715521 0.977434i
\(718\) 4.68874 8.12113i 0.174982 0.303078i
\(719\) 18.6879 + 32.3684i 0.696942 + 1.20714i 0.969522 + 0.245006i \(0.0787899\pi\)
−0.272580 + 0.962133i \(0.587877\pi\)
\(720\) 0.0823199 1.82069i 0.00306788 0.0678533i
\(721\) 1.52523 5.69223i 0.0568025 0.211990i
\(722\) −2.77650 + 10.3620i −0.103331 + 0.385635i
\(723\) 11.3447 25.7288i 0.421915 0.956863i
\(724\) 2.49636 + 4.32383i 0.0927766 + 0.160694i
\(725\) 14.8037 25.6408i 0.549797 0.952277i
\(726\) 12.2289 8.95205i 0.453857 0.332242i
\(727\) 5.06432i 0.187825i 0.995580 + 0.0939126i \(0.0299374\pi\)
−0.995580 + 0.0939126i \(0.970063\pi\)
\(728\) −3.60548 0.0230552i −0.133628 0.000854481i
\(729\) −16.3368 21.4967i −0.605067 0.796175i
\(730\) 9.01186 2.41472i 0.333544 0.0893728i
\(731\) −46.8074 27.0243i −1.73123 0.999529i
\(732\) −1.90811 + 2.37368i −0.0705257 + 0.0877338i
\(733\) −31.5628 31.5628i −1.16580 1.16580i −0.983185 0.182613i \(-0.941545\pi\)
−0.182613 0.983185i \(-0.558455\pi\)
\(734\) 4.27524 + 1.14555i 0.157802 + 0.0422829i
\(735\) −0.113745 1.04609i −0.00419555 0.0385855i
\(736\) −4.06211 + 4.06211i −0.149731 + 0.149731i
\(737\) 14.4127 8.32118i 0.530899 0.306515i
\(738\) −11.0162 + 2.42433i −0.405511 + 0.0892407i
\(739\) −6.71344 25.0549i −0.246958 0.921659i −0.972389 0.233365i \(-0.925026\pi\)
0.725431 0.688294i \(-0.241640\pi\)
\(740\) 5.38696 0.198029
\(741\) −14.5609 + 10.5168i −0.534909 + 0.386346i
\(742\) 7.88465 0.289455
\(743\) −1.54626 5.77071i −0.0567267 0.211707i 0.931745 0.363114i \(-0.118286\pi\)
−0.988472 + 0.151407i \(0.951620\pi\)
\(744\) 6.93704 + 1.07321i 0.254324 + 0.0393459i
\(745\) −10.9567 + 6.32586i −0.401423 + 0.231761i
\(746\) −13.2070 + 13.2070i −0.483541 + 0.483541i
\(747\) −19.4188 + 10.0706i −0.710497 + 0.368463i
\(748\) −7.25131 1.94298i −0.265134 0.0710424i
\(749\) −7.53214 7.53214i −0.275218 0.275218i
\(750\) 7.89856 + 6.34933i 0.288414 + 0.231845i
\(751\) 7.90712 + 4.56518i 0.288535 + 0.166586i 0.637281 0.770632i \(-0.280059\pi\)
−0.348746 + 0.937217i \(0.613392\pi\)
\(752\) −9.70563 + 2.60062i −0.353928 + 0.0948347i
\(753\) 1.73573 0.673440i 0.0632534 0.0245415i
\(754\) 16.1956 + 16.4040i 0.589807 + 0.597399i
\(755\) 1.57956i 0.0574862i
\(756\) 1.02556 5.09394i 0.0372993 0.185265i
\(757\) 18.4318 31.9247i 0.669913 1.16032i −0.308015 0.951382i \(-0.599665\pi\)
0.977928 0.208942i \(-0.0670021\pi\)
\(758\) −14.6209 25.3242i −0.531055 0.919815i
\(759\) 13.6566 + 6.02169i 0.495704 + 0.218574i
\(760\) 0.452243 1.68779i 0.0164046 0.0612227i
\(761\) −5.30708 + 19.8063i −0.192382 + 0.717978i 0.800548 + 0.599269i \(0.204542\pi\)
−0.992929 + 0.118708i \(0.962125\pi\)
\(762\) −16.7306 7.37713i −0.606087 0.267245i
\(763\) 0.256756 + 0.444715i 0.00929519 + 0.0160997i
\(764\) 0.125258 0.216953i 0.00453166 0.00784907i
\(765\) −7.68524 4.91279i −0.277860 0.177622i
\(766\) 22.8846i 0.826853i
\(767\) −32.7932 33.2153i −1.18410 1.19934i
\(768\) 1.61477 0.626510i 0.0582680 0.0226072i
\(769\) −35.5339 + 9.52129i −1.28139 + 0.343347i −0.834383 0.551185i \(-0.814176\pi\)
−0.447004 + 0.894532i \(0.647509\pi\)
\(770\) −0.789196 0.455643i −0.0284407 0.0164202i
\(771\) 29.4118 + 23.6430i 1.05924 + 0.851480i
\(772\) −7.32531 7.32531i −0.263644 0.263644i