Properties

Label 546.2.bu.b.197.2
Level $546$
Weight $2$
Character 546.197
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 197.2
Character \(\chi\) \(=\) 546.197
Dual form 546.2.bu.b.449.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 + 0.965926i) q^{2} +(-1.34996 - 1.08518i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(0.429580 + 0.429580i) q^{5} +(1.39760 - 1.02310i) q^{6} +(-0.965926 + 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(0.644780 + 2.92989i) q^{9} +O(q^{10})\) \(q+(-0.258819 + 0.965926i) q^{2} +(-1.34996 - 1.08518i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(0.429580 + 0.429580i) q^{5} +(1.39760 - 1.02310i) q^{6} +(-0.965926 + 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(0.644780 + 2.92989i) 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} +(-0.113745 - 1.04609i) q^{15} +(0.500000 + 0.866025i) q^{16} +(2.50234 - 4.33419i) q^{17} +(-2.99694 - 0.135502i) q^{18} +(0.744411 + 2.77818i) q^{19} +(-0.157237 - 0.586817i) q^{20} +(1.58483 + 0.698806i) q^{21} +(-0.750007 + 1.29905i) q^{22} +(2.87235 + 4.97505i) q^{23} +(-1.72190 + 0.187229i) 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} +(1.03988 + 0.160878i) q^{30} +(2.86572 - 2.86572i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(-1.53466 - 2.09641i) q^{33} +(3.53885 + 3.53885i) q^{34} +(-0.526126 - 0.303759i) q^{35} +(0.906550 - 2.85975i) q^{36} +(2.29499 - 8.56502i) q^{37} -2.87618 q^{38} +(-0.915309 + 6.17756i) q^{39} +0.607518 q^{40} +(0.973141 - 3.63181i) q^{41} +(-1.08518 + 1.34996i) q^{42} +(9.35271 + 5.39979i) q^{43} +(-1.06067 - 1.06067i) q^{44} +(-0.981638 + 1.53561i) q^{45} +(-5.54895 + 1.48684i) q^{46} +(7.10501 - 7.10501i) q^{47} +(0.264812 - 1.71169i) 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} +(3.89870 + 3.43513i) q^{54} +(0.455643 + 0.789196i) q^{55} +(-0.500000 + 0.866025i) q^{56} +(2.00989 - 4.55825i) q^{57} +(1.65474 + 6.17558i) q^{58} +(3.35057 + 12.5045i) q^{59} +(-0.424537 + 0.962810i) q^{60} +(-0.879168 + 1.52276i) q^{61} +(2.02637 + 3.50978i) q^{62} +(-1.38112 - 2.66318i) 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} +(1.52126 - 9.83312i) q^{69} +(0.429580 - 0.429580i) q^{70} +(-5.54815 + 1.48662i) q^{71} +(2.52767 + 1.61582i) q^{72} +(-10.8592 - 10.8592i) q^{73} +(7.67919 + 4.43358i) q^{74} +(-5.02537 + 6.25156i) q^{75} +(0.744411 - 2.77818i) q^{76} -1.50001 q^{77} +(-5.73016 - 2.48299i) q^{78} +3.68438 q^{79} +(-0.157237 + 0.586817i) q^{80} +(-8.16852 + 3.77827i) q^{81} +(3.25619 + 1.87996i) q^{82} +(-5.15594 - 5.15594i) q^{83} +(-1.02310 - 1.39760i) q^{84} +(2.93684 - 0.786923i) q^{85} +(-7.63646 + 7.63646i) q^{86} +(-10.9436 - 1.69306i) 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} +(-6.97843 + 0.758792i) q^{93} +(5.02400 + 8.70183i) q^{94} +(-0.873667 + 1.51324i) q^{95} +(1.58483 + 0.698806i) q^{96} +(-0.785006 - 2.92968i) q^{97} +(0.258819 + 0.965926i) q^{98} +(-0.203255 + 4.49545i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 8q^{6} - 24q^{9} + O(q^{10}) \) \( 56q + 8q^{6} - 24q^{9} + 24q^{10} + 8q^{11} + 24q^{13} + 4q^{15} + 28q^{16} - 4q^{17} - 8q^{18} + 8q^{19} + 4q^{21} - 8q^{23} - 8q^{24} - 4q^{26} - 24q^{27} - 8q^{30} - 8q^{31} + 8q^{33} - 24q^{34} + 24q^{35} - 12q^{36} - 8q^{37} - 20q^{39} - 28q^{41} + 8q^{44} + 72q^{45} - 20q^{46} + 64q^{50} + 16q^{54} + 8q^{55} - 28q^{56} + 4q^{58} - 8q^{59} + 20q^{60} + 8q^{61} - 32q^{62} - 16q^{63} - 24q^{65} + 32q^{66} - 16q^{69} - 112q^{71} + 8q^{73} + 48q^{74} + 40q^{75} + 8q^{76} + 16q^{79} + 12q^{81} - 4q^{83} - 4q^{84} + 32q^{85} - 16q^{86} - 144q^{87} + 88q^{89} - 8q^{90} - 8q^{91} + 52q^{93} - 8q^{94} - 48q^{95} + 4q^{96} - 64q^{97} + 56q^{99} + O(q^{100}) \)

Character values

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

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

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
\(3\) −1.34996 1.08518i −0.779399 0.626527i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) 0.429580 + 0.429580i 0.192114 + 0.192114i 0.796609 0.604495i \(-0.206625\pi\)
−0.604495 + 0.796609i \(0.706625\pi\)
\(6\) 1.39760 1.02310i 0.570566 0.417677i
\(7\) −0.965926 + 0.258819i −0.365086 + 0.0978244i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) 0.644780 + 2.92989i 0.214927 + 0.976630i
\(10\) −0.526126 + 0.303759i −0.166376 + 0.0960570i
\(11\) 1.44890 + 0.388232i 0.436860 + 0.117056i 0.470545 0.882376i \(-0.344057\pi\)
−0.0336843 + 0.999433i \(0.510724\pi\)
\(12\) 0.626510 + 1.61477i 0.180858 + 0.466144i
\(13\) −1.82271 3.11091i −0.505527 0.862811i
\(14\) 1.00000i 0.267261i
\(15\) −0.113745 1.04609i −0.0293688 0.270098i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 2.50234 4.33419i 0.606908 1.05119i −0.384839 0.922984i \(-0.625743\pi\)
0.991747 0.128211i \(-0.0409236\pi\)
\(18\) −2.99694 0.135502i −0.706385 0.0319381i
\(19\) 0.744411 + 2.77818i 0.170780 + 0.637358i 0.997232 + 0.0743518i \(0.0236888\pi\)
−0.826452 + 0.563007i \(0.809645\pi\)
\(20\) −0.157237 0.586817i −0.0351593 0.131216i
\(21\) 1.58483 + 0.698806i 0.345837 + 0.152492i
\(22\) −0.750007 + 1.29905i −0.159902 + 0.276958i
\(23\) 2.87235 + 4.97505i 0.598925 + 1.03737i 0.992980 + 0.118282i \(0.0377387\pi\)
−0.394055 + 0.919087i \(0.628928\pi\)
\(24\) −1.72190 + 0.187229i −0.351482 + 0.0382180i
\(25\) 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 \(-0.464367\pi\)
0.916460 + 0.400125i \(0.131033\pi\)
\(30\) 1.03988 + 0.160878i 0.189855 + 0.0293721i
\(31\) 2.86572 2.86572i 0.514699 0.514699i −0.401263 0.915963i \(-0.631429\pi\)
0.915963 + 0.401263i \(0.131429\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) −1.53466 2.09641i −0.267150 0.364939i
\(34\) 3.53885 + 3.53885i 0.606908 + 0.606908i
\(35\) −0.526126 0.303759i −0.0889315 0.0513446i
\(36\) 0.906550 2.85975i 0.151092 0.476625i
\(37\) 2.29499 8.56502i 0.377294 1.40808i −0.472670 0.881240i \(-0.656710\pi\)
0.849964 0.526841i \(-0.176624\pi\)
\(38\) −2.87618 −0.466579
\(39\) −0.915309 + 6.17756i −0.146567 + 0.989201i
\(40\) 0.607518 0.0960570
\(41\) 0.973141 3.63181i 0.151979 0.567194i −0.847366 0.531009i \(-0.821813\pi\)
0.999345 0.0361844i \(-0.0115204\pi\)
\(42\) −1.08518 + 1.34996i −0.167447 + 0.208303i
\(43\) 9.35271 + 5.39979i 1.42628 + 0.823460i 0.996824 0.0796301i \(-0.0253739\pi\)
0.429451 + 0.903090i \(0.358707\pi\)
\(44\) −1.06067 1.06067i −0.159902 0.159902i
\(45\) −0.981638 + 1.53561i −0.146334 + 0.228915i
\(46\) −5.54895 + 1.48684i −0.818147 + 0.219222i
\(47\) 7.10501 7.10501i 1.03637 1.03637i 0.0370599 0.999313i \(-0.488201\pi\)
0.999313 0.0370599i \(-0.0117992\pi\)
\(48\) 0.264812 1.71169i 0.0382223 0.247061i
\(49\) 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 \(0.817849\pi\)
\(54\) 3.89870 + 3.43513i 0.530546 + 0.467462i
\(55\) 0.455643 + 0.789196i 0.0614389 + 0.106415i
\(56\) −0.500000 + 0.866025i −0.0668153 + 0.115728i
\(57\) 2.00989 4.55825i 0.266217 0.603755i
\(58\) 1.65474 + 6.17558i 0.217278 + 0.810894i
\(59\) 3.35057 + 12.5045i 0.436207 + 1.62795i 0.738161 + 0.674625i \(0.235695\pi\)
−0.301954 + 0.953323i \(0.597639\pi\)
\(60\) −0.424537 + 0.962810i −0.0548075 + 0.124298i
\(61\) −0.879168 + 1.52276i −0.112566 + 0.194970i −0.916804 0.399337i \(-0.869240\pi\)
0.804238 + 0.594307i \(0.202574\pi\)
\(62\) 2.02637 + 3.50978i 0.257350 + 0.445743i
\(63\) −1.38112 2.66318i −0.174005 0.335529i
\(64\) 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 −0.464316 0.885670i \(-0.653700\pi\)
−0.844944 + 0.534855i \(0.820366\pi\)
\(68\) −4.33419 + 2.50234i −0.525597 + 0.303454i
\(69\) 1.52126 9.83312i 0.183138 1.18377i
\(70\) 0.429580 0.429580i 0.0513446 0.0513446i
\(71\) −5.54815 + 1.48662i −0.658444 + 0.176430i −0.572544 0.819874i \(-0.694043\pi\)
−0.0859005 + 0.996304i \(0.527377\pi\)
\(72\) 2.52767 + 1.61582i 0.297889 + 0.190426i
\(73\) −10.8592 10.8592i −1.27097 1.27097i −0.945580 0.325388i \(-0.894505\pi\)
−0.325388 0.945580i \(-0.605495\pi\)
\(74\) 7.67919 + 4.43358i 0.892687 + 0.515393i
\(75\) −5.02537 + 6.25156i −0.580280 + 0.721867i
\(76\) 0.744411 2.77818i 0.0853898 0.318679i
\(77\) −1.50001 −0.170942
\(78\) −5.73016 2.48299i −0.648813 0.281143i
\(79\) 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
\(81\) −8.16852 + 3.77827i −0.907613 + 0.419808i
\(82\) 3.25619 + 1.87996i 0.359586 + 0.207607i
\(83\) −5.15594 5.15594i −0.565938 0.565938i 0.365050 0.930988i \(-0.381052\pi\)
−0.930988 + 0.365050i \(0.881052\pi\)
\(84\) −1.02310 1.39760i −0.111629 0.152490i
\(85\) 2.93684 0.786923i 0.318545 0.0853538i
\(86\) −7.63646 + 7.63646i −0.823460 + 0.823460i
\(87\) −10.9436 1.69306i −1.17327 0.181515i
\(88\) 1.29905 0.750007i 0.138479 0.0799510i
\(89\) 6.57035 + 1.76052i 0.696455 + 0.186615i 0.589642 0.807664i \(-0.299269\pi\)
0.106813 + 0.994279i \(0.465935\pi\)
\(90\) −1.22922 1.34563i −0.129571 0.141842i
\(91\) 2.56576 + 2.53316i 0.268965 + 0.265547i
\(92\) 5.74469i 0.598925i
\(93\) −6.97843 + 0.758792i −0.723630 + 0.0786830i
\(94\) 5.02400 + 8.70183i 0.518186 + 0.897525i
\(95\) −0.873667 + 1.51324i −0.0896363 + 0.155255i
\(96\) 1.58483 + 0.698806i 0.161751 + 0.0713216i
\(97\) −0.785006 2.92968i −0.0797053 0.297464i 0.914554 0.404464i \(-0.132542\pi\)
−0.994259 + 0.107000i \(0.965875\pi\)
\(98\) 0.258819 + 0.965926i 0.0261447 + 0.0975732i
\(99\) −0.203255 + 4.49545i −0.0204279 + 0.451810i
\(100\) −2.31546 + 4.01050i −0.231546 + 0.401050i
\(101\) 2.55267 + 4.42136i 0.254001 + 0.439942i 0.964624 0.263631i \(-0.0849202\pi\)
−0.710623 + 0.703573i \(0.751587\pi\)
\(102\) −0.937023 8.61758i −0.0927791 0.853268i
\(103\) 5.89303i 0.580658i −0.956927 0.290329i \(-0.906235\pi\)
0.956927 0.290329i \(-0.0937647\pi\)
\(104\) −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 \(-0.838833\pi\)
−0.0172756 + 0.999851i \(0.505499\pi\)
\(108\) −4.32714 + 2.87678i −0.416379 + 0.276818i
\(109\) −0.363108 + 0.363108i −0.0347794 + 0.0347794i −0.724283 0.689503i \(-0.757829\pi\)
0.689503 + 0.724283i \(0.257829\pi\)
\(110\) −0.880234 + 0.235858i −0.0839270 + 0.0224882i
\(111\) −12.3927 + 9.07195i −1.17626 + 0.861072i
\(112\) −0.707107 0.707107i −0.0668153 0.0668153i
\(113\) 13.3023 + 7.68008i 1.25137 + 0.722481i 0.971382 0.237521i \(-0.0763350\pi\)
0.279992 + 0.960002i \(0.409668\pi\)
\(114\) 3.88273 + 3.12117i 0.363651 + 0.292324i
\(115\) −0.903279 + 3.37108i −0.0842312 + 0.314355i
\(116\) −6.39343 −0.593615
\(117\) 7.93938 7.34618i 0.733996 0.679154i
\(118\) −12.9456 −1.19174
\(119\) −1.29531 + 4.83416i −0.118741 + 0.443147i
\(120\) −0.820125 0.659265i −0.0748668 0.0601824i
\(121\) −7.57769 4.37498i −0.688881 0.397725i
\(122\) −1.24333 1.24333i −0.112566 0.112566i
\(123\) −5.25486 + 3.84677i −0.473815 + 0.346851i
\(124\) −3.91465 + 1.04893i −0.351546 + 0.0941965i
\(125\) 4.13725 4.13725i 0.370047 0.370047i
\(126\) 2.92989 0.644780i 0.261015 0.0574416i
\(127\) 9.14243 5.27839i 0.811260 0.468381i −0.0361335 0.999347i \(-0.511504\pi\)
0.847393 + 0.530966i \(0.178171\pi\)
\(128\) 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 \(-0.179403\pi\)
\(132\) 0.280846 + 2.58288i 0.0244445 + 0.224811i
\(133\) −1.43809 2.49085i −0.124698 0.215984i
\(134\) 5.54740 9.60838i 0.479222 0.830037i
\(135\) 2.99158 1.00776i 0.257474 0.0867338i
\(136\) −1.29531 4.83416i −0.111072 0.414526i
\(137\) 4.39879 + 16.4165i 0.375814 + 1.40256i 0.852151 + 0.523295i \(0.175297\pi\)
−0.476337 + 0.879263i \(0.658036\pi\)
\(138\) 9.10433 + 4.01442i 0.775012 + 0.341730i
\(139\) −3.35001 + 5.80239i −0.284144 + 0.492152i −0.972401 0.233315i \(-0.925043\pi\)
0.688257 + 0.725467i \(0.258376\pi\)
\(140\) 0.303759 + 0.526126i 0.0256723 + 0.0444658i
\(141\) −17.3017 + 1.88128i −1.45706 + 0.158432i
\(142\) 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
\(147\) −1.71169 0.264812i −0.141178 0.0218413i
\(148\) −6.27003 + 6.27003i −0.515393 + 0.515393i
\(149\) −20.1156 + 5.38997i −1.64794 + 0.441564i −0.959034 0.283289i \(-0.908574\pi\)
−0.688904 + 0.724853i \(0.741908\pi\)
\(150\) −4.73788 6.47216i −0.386846 0.528450i
\(151\) 1.83850 + 1.83850i 0.149615 + 0.149615i 0.777946 0.628331i \(-0.216262\pi\)
−0.628331 + 0.777946i \(0.716262\pi\)
\(152\) 2.49085 + 1.43809i 0.202034 + 0.116645i
\(153\) 14.3122 + 4.53700i 1.15707 + 0.366795i
\(154\) 0.388232 1.44890i 0.0312846 0.116756i
\(155\) 2.46212 0.197762
\(156\) 3.88146 4.89227i 0.310765 0.391695i
\(157\) 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
\(159\) 8.55625 10.6440i 0.678555 0.844121i
\(160\) −0.526126 0.303759i −0.0415939 0.0240143i
\(161\) −4.06211 4.06211i −0.320139 0.320139i
\(162\) −1.53536 8.86807i −0.120629 0.696741i
\(163\) −6.48922 + 1.73878i −0.508275 + 0.136192i −0.503838 0.863798i \(-0.668079\pi\)
−0.00443696 + 0.999990i \(0.501412\pi\)
\(164\) −2.65867 + 2.65867i −0.207607 + 0.207607i
\(165\) 0.241319 1.55984i 0.0187867 0.121433i
\(166\) 6.31471 3.64580i 0.490116 0.282969i
\(167\) −6.75418 1.80978i −0.522654 0.140045i −0.0121601 0.999926i \(-0.503871\pi\)
−0.510494 + 0.859881i \(0.670537\pi\)
\(168\) 1.61477 0.626510i 0.124582 0.0483363i
\(169\) −6.35549 + 11.3405i −0.488884 + 0.872349i
\(170\) 3.04044i 0.233191i
\(171\) −7.65978 + 3.97236i −0.585758 + 0.303774i
\(172\) −5.39979 9.35271i −0.411730 0.713138i
\(173\) 4.19368 7.26366i 0.318839 0.552246i −0.661407 0.750027i \(-0.730040\pi\)
0.980246 + 0.197781i \(0.0633736\pi\)
\(174\) 4.46777 10.1325i 0.338701 0.768141i
\(175\) 1.19857 + 4.47313i 0.0906034 + 0.338137i
\(176\) 0.388232 + 1.44890i 0.0292641 + 0.109215i
\(177\) 9.04647 20.5165i 0.679974 1.54212i
\(178\) −3.40106 + 5.89081i −0.254920 + 0.441535i
\(179\) −8.32290 14.4157i −0.622083 1.07748i −0.989097 0.147264i \(-0.952953\pi\)
0.367015 0.930215i \(-0.380380\pi\)
\(180\) 1.61793 0.839056i 0.120593 0.0625395i
\(181\) 4.99273i 0.371106i 0.982634 + 0.185553i \(0.0594077\pi\)
−0.982634 + 0.185553i \(0.940592\pi\)
\(182\) −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
\(186\) 1.07321 6.93704i 0.0786919 0.508648i
\(187\) 5.30832 5.30832i 0.388183 0.388183i
\(188\) −9.70563 + 2.60062i −0.707856 + 0.189669i
\(189\) −1.02556 + 5.09394i −0.0745986 + 0.370530i
\(190\) −1.23555 1.23555i −0.0896363 0.0896363i
\(191\) 0.216953 + 0.125258i 0.0156981 + 0.00906332i 0.507829 0.861458i \(-0.330448\pi\)
−0.492130 + 0.870521i \(0.663782\pi\)
\(192\) −1.08518 + 1.34996i −0.0783159 + 0.0974249i
\(193\) 2.68125 10.0066i 0.193001 0.720288i −0.799775 0.600300i \(-0.795048\pi\)
0.992775 0.119988i \(-0.0382856\pi\)
\(194\) 3.03303 0.217759
\(195\) −3.04695 + 2.26056i −0.218197 + 0.161882i
\(196\) −1.00000 −0.0714286
\(197\) −2.69377 + 10.0533i −0.191923 + 0.716267i 0.801119 + 0.598505i \(0.204238\pi\)
−0.993042 + 0.117761i \(0.962428\pi\)
\(198\) −4.28966 1.35984i −0.304853 0.0966394i
\(199\) −2.17443 1.25541i −0.154141 0.0889936i 0.420945 0.907086i \(-0.361698\pi\)
−0.575087 + 0.818092i \(0.695032\pi\)
\(200\) −3.27456 3.27456i −0.231546 0.231546i
\(201\) 11.3510 + 15.5060i 0.800641 + 1.09371i
\(202\) −4.93139 + 1.32136i −0.346971 + 0.0929706i
\(203\) −4.52084 + 4.52084i −0.317301 + 0.317301i
\(204\) 8.56646 + 1.32530i 0.599772 + 0.0927895i
\(205\) 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
\(210\) −1.04609 + 0.113745i −0.0721868 + 0.00784915i
\(211\) 11.0701 + 19.1740i 0.762097 + 1.31999i 0.941768 + 0.336263i \(0.109163\pi\)
−0.179671 + 0.983727i \(0.557503\pi\)
\(212\) 3.94233 6.82831i 0.270760 0.468970i
\(213\) 9.10303 + 4.01385i 0.623729 + 0.275024i
\(214\) −2.75695 10.2891i −0.188462 0.703348i
\(215\) 1.69810 + 6.33738i 0.115809 + 0.432206i
\(216\) −1.65881 4.92426i −0.112868 0.335054i
\(217\) −2.02637 + 3.50978i −0.137559 + 0.238259i
\(218\) −0.256756 0.444715i −0.0173897 0.0301199i
\(219\) 2.87531 + 26.4435i 0.194295 + 1.78689i
\(220\) 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 0.562328 0.826914i \(-0.309906\pi\)
0.0735328 + 0.997293i \(0.476573\pi\)
\(224\) 0.866025 0.500000i 0.0578638 0.0334077i
\(225\) 13.5681 2.98593i 0.904540 0.199062i
\(226\) −10.8613 + 10.8613i −0.722481 + 0.722481i
\(227\) 5.59370 1.49883i 0.371267 0.0994807i −0.0683609 0.997661i \(-0.521777\pi\)
0.439628 + 0.898180i \(0.355110\pi\)
\(228\) −4.01974 + 2.94261i −0.266214 + 0.194879i
\(229\) 1.44073 + 1.44073i 0.0952059 + 0.0952059i 0.753106 0.657900i \(-0.228555\pi\)
−0.657900 + 0.753106i \(0.728555\pi\)
\(230\) −3.02243 1.74500i −0.199293 0.115062i
\(231\) 2.02496 + 1.62778i 0.133232 + 0.107100i
\(232\) 1.65474 6.17558i 0.108639 0.405447i
\(233\) −12.7341 −0.834241 −0.417120 0.908851i \(-0.636961\pi\)
−0.417120 + 0.908851i \(0.636961\pi\)
\(234\) 5.04100 + 9.57018i 0.329541 + 0.625622i
\(235\) 6.10435 0.398204
\(236\) 3.35057 12.5045i 0.218104 0.813974i
\(237\) −4.97376 3.99820i −0.323080 0.259711i
\(238\) −4.33419 2.50234i −0.280944 0.162203i
\(239\) 13.2419 + 13.2419i 0.856548 + 0.856548i 0.990930 0.134382i \(-0.0429049\pi\)
−0.134382 + 0.990930i \(0.542905\pi\)
\(240\) 0.849065 0.621549i 0.0548069 0.0401208i
\(241\) −15.6813 + 4.20178i −1.01012 + 0.270661i −0.725679 0.688033i \(-0.758474\pi\)
−0.284440 + 0.958694i \(0.591808\pi\)
\(242\) 6.18715 6.18715i 0.397725 0.397725i
\(243\) 15.1273 + 3.76378i 0.970414 + 0.241447i
\(244\) 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
\(249\) 1.36520 + 12.5554i 0.0865159 + 0.795667i
\(250\) 2.92548 + 5.06708i 0.185024 + 0.320470i
\(251\) 0.537453 0.930896i 0.0339237 0.0587576i −0.848565 0.529091i \(-0.822533\pi\)
0.882489 + 0.470333i \(0.155866\pi\)
\(252\) −0.135502 + 2.99694i −0.00853582 + 0.188789i
\(253\) 2.23027 + 8.32350i 0.140216 + 0.523294i
\(254\) 2.73229 + 10.1971i 0.171439 + 0.639820i
\(255\) −4.81856 2.12468i −0.301750 0.133052i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −10.8936 18.8683i −0.679524 1.17697i −0.975125 0.221658i \(-0.928853\pi\)
0.295601 0.955312i \(-0.404480\pi\)
\(258\) 18.5958 2.02199i 1.15772 0.125884i
\(259\) 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 \(-0.581893\pi\)
0.710298 + 0.703901i \(0.248560\pi\)
\(264\) −2.56756 0.397221i −0.158022 0.0244473i
\(265\) −3.38709 + 3.38709i −0.208067 + 0.208067i
\(266\) 2.77818 0.744411i 0.170341 0.0456428i
\(267\) −6.95922 9.50662i −0.425898 0.581796i
\(268\) 7.84521 + 7.84521i 0.479222 + 0.479222i
\(269\) 13.8882 + 8.01838i 0.846782 + 0.488890i 0.859564 0.511029i \(-0.170735\pi\)
−0.0127821 + 0.999918i \(0.504069\pi\)
\(270\) 0.199140 + 3.15047i 0.0121193 + 0.191731i
\(271\) −2.03506 + 7.59496i −0.123621 + 0.461361i −0.999787 0.0206495i \(-0.993427\pi\)
0.876165 + 0.482010i \(0.160093\pi\)
\(272\) 5.00469 0.303454
\(273\) −0.714749 6.20396i −0.0432586 0.375481i
\(274\) −16.9956 −1.02674
\(275\) 1.79787 6.70975i 0.108416 0.404613i
\(276\) −6.23401 + 7.75510i −0.375243 + 0.466802i
\(277\) 16.7024 + 9.64316i 1.00355 + 0.579401i 0.909297 0.416147i \(-0.136620\pi\)
0.0942548 + 0.995548i \(0.469953\pi\)
\(278\) −4.73763 4.73763i −0.284144 0.284144i
\(279\) 10.2440 + 6.54850i 0.613293 + 0.392048i
\(280\) −0.586817 + 0.157237i −0.0350690 + 0.00939672i
\(281\) 16.0700 16.0700i 0.958654 0.958654i −0.0405247 0.999179i \(-0.512903\pi\)
0.999179 + 0.0405247i \(0.0129029\pi\)
\(282\) 2.66083 17.1991i 0.158450 1.02419i
\(283\) −12.6510 + 7.30408i −0.752026 + 0.434182i −0.826426 0.563046i \(-0.809629\pi\)
0.0743994 + 0.997229i \(0.476296\pi\)
\(284\) 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
\(288\) −1.38112 2.66318i −0.0813833 0.156929i
\(289\) −4.02345 6.96883i −0.236674 0.409931i
\(290\) −1.94206 + 3.36375i −0.114042 + 0.197526i
\(291\) −2.11950 + 4.80682i −0.124247 + 0.281781i
\(292\) 3.97473 + 14.8339i 0.232603 + 0.868088i
\(293\) 2.19074 + 8.17594i 0.127984 + 0.477643i 0.999928 0.0119617i \(-0.00380762\pi\)
−0.871944 + 0.489605i \(0.837141\pi\)
\(294\) 0.698806 1.58483i 0.0407552 0.0924289i
\(295\) −3.93235 + 6.81102i −0.228950 + 0.396553i
\(296\) −4.43358 7.67919i −0.257697 0.446344i
\(297\) 5.15275 5.84811i 0.298993 0.339342i
\(298\) 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
\(303\) 1.35196 8.73876i 0.0776678 0.502029i
\(304\) −2.03377 + 2.03377i −0.116645 + 0.116645i
\(305\) −1.03182 + 0.276476i −0.0590820 + 0.0158310i
\(306\) −8.08666 + 12.6502i −0.462284 + 0.723165i
\(307\) 5.74908 + 5.74908i 0.328117 + 0.328117i 0.851870 0.523753i \(-0.175469\pi\)
−0.523753 + 0.851870i \(0.675469\pi\)
\(308\) 1.29905 + 0.750007i 0.0740203 + 0.0427356i
\(309\) −6.39499 + 7.95535i −0.363798 + 0.452564i
\(310\) −0.637243 + 2.37822i −0.0361929 + 0.135074i
\(311\) −26.7307 −1.51576 −0.757879 0.652395i \(-0.773764\pi\)
−0.757879 + 0.652395i \(0.773764\pi\)
\(312\) 3.72097 + 5.01541i 0.210659 + 0.283942i
\(313\) 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
\(315\) 0.550745 1.73735i 0.0310310 0.0978885i
\(316\) −3.19076 1.84219i −0.179494 0.103631i
\(317\) −5.59592 5.59592i −0.314298 0.314298i 0.532274 0.846572i \(-0.321338\pi\)
−0.846572 + 0.532274i \(0.821338\pi\)
\(318\) 8.06676 + 11.0196i 0.452361 + 0.617946i
\(319\) 9.26346 2.48214i 0.518654 0.138973i
\(320\) 0.429580 0.429580i 0.0240143 0.0240143i
\(321\) 18.2330 + 2.82079i 1.01767 + 0.157441i
\(322\) 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
\(327\) 0.884218 0.0961444i 0.0488973 0.00531680i
\(328\) −1.87996 3.25619i −0.103804 0.179793i
\(329\) −5.02400 + 8.70183i −0.276982 + 0.479747i
\(330\) 1.44423 + 0.636812i 0.0795021 + 0.0350553i
\(331\) −5.58301 20.8361i −0.306870 1.14525i −0.931324 0.364193i \(-0.881345\pi\)
0.624454 0.781062i \(-0.285322\pi\)
\(332\) 1.88720 + 7.04314i 0.103574 + 0.386543i
\(333\) 26.5743 + 1.20152i 1.45626 + 0.0658428i
\(334\) 3.49622 6.05563i 0.191305 0.331349i
\(335\) −3.37015 5.83726i −0.184131 0.318924i
\(336\) 0.187229 + 1.72190i 0.0102142 + 0.0939374i
\(337\) 26.6748i 1.45307i −0.687129 0.726535i \(-0.741129\pi\)
0.687129 0.726535i \(-0.258871\pi\)
\(338\) −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
\(342\) −1.85451 8.42690i −0.100280 0.455675i
\(343\) −0.707107 + 0.707107i −0.0381802 + 0.0381802i
\(344\) 10.4316 2.79514i 0.562434 0.150704i
\(345\) 4.87761 3.57061i 0.262602 0.192235i
\(346\) 5.93075 + 5.93075i 0.318839 + 0.318839i
\(347\) −11.0636 6.38760i −0.593928 0.342904i 0.172721 0.984971i \(-0.444744\pi\)
−0.766649 + 0.642066i \(0.778077\pi\)
\(348\) 8.63087 + 6.93801i 0.462663 + 0.371916i
\(349\) −7.64398 + 28.5277i −0.409173 + 1.52705i 0.387054 + 0.922057i \(0.373493\pi\)
−0.796227 + 0.604997i \(0.793174\pi\)
\(350\) −4.63092 −0.247533
\(351\) −18.6897 + 1.30141i −0.997584 + 0.0694641i
\(352\) −1.50001 −0.0799510
\(353\) 5.52047 20.6027i 0.293825 1.09657i −0.648321 0.761367i \(-0.724528\pi\)
0.942146 0.335203i \(-0.108805\pi\)
\(354\) 17.4760 + 14.0483i 0.928842 + 0.746658i
\(355\) −3.02200 1.74475i −0.160391 0.0926018i
\(356\) −4.80983 4.80983i −0.254920 0.254920i
\(357\) 6.99453 5.12028i 0.370190 0.270994i
\(358\) 16.0786 4.30825i 0.849781 0.227698i
\(359\) 6.63087 6.63087i 0.349964 0.349964i −0.510132 0.860096i \(-0.670403\pi\)
0.860096 + 0.510132i \(0.170403\pi\)
\(360\) 0.391715 + 1.77996i 0.0206452 + 0.0938122i
\(361\) 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
\(366\) 0.329212 + 3.02768i 0.0172082 + 0.158260i
\(367\) 2.21303 + 3.83308i 0.115519 + 0.200085i 0.917987 0.396610i \(-0.129814\pi\)
−0.802468 + 0.596695i \(0.796480\pi\)
\(368\) −2.87235 + 4.97505i −0.149731 + 0.259342i
\(369\) 11.2683 + 0.509477i 0.586603 + 0.0265223i
\(370\) 1.39425 + 5.20340i 0.0724835 + 0.270512i
\(371\) −2.04070 7.61599i −0.105948 0.395403i
\(372\) 6.42289 + 2.83208i 0.333012 + 0.146837i
\(373\) 9.33873 16.1752i 0.483541 0.837518i −0.516280 0.856420i \(-0.672684\pi\)
0.999821 + 0.0189019i \(0.00601701\pi\)
\(374\) 3.75355 + 6.50134i 0.194092 + 0.336176i
\(375\) −10.0748 + 1.09547i −0.520259 + 0.0565698i
\(376\) 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 −0.554544 0.832154i \(-0.687107\pi\)
−0.896326 + 0.443395i \(0.853774\pi\)
\(380\) 1.51324 0.873667i 0.0776273 0.0448182i
\(381\) −18.0699 2.79556i −0.925749 0.143221i
\(382\) −0.177141 + 0.177141i −0.00906332 + 0.00906332i
\(383\) −22.1048 + 5.92296i −1.12950 + 0.302649i −0.774723 0.632301i \(-0.782111\pi\)
−0.354779 + 0.934950i \(0.615444\pi\)
\(384\) −1.02310 1.39760i −0.0522096 0.0713208i
\(385\) −0.644376 0.644376i −0.0328405 0.0328405i
\(386\) 8.97164 + 5.17978i 0.456645 + 0.263644i
\(387\) −9.79035 + 30.8841i −0.497672 + 1.56993i
\(388\) −0.785006 + 2.92968i −0.0398526 + 0.148732i
\(389\) 6.65640 0.337493 0.168746 0.985659i \(-0.446028\pi\)
0.168746 + 0.985659i \(0.446028\pi\)
\(390\) −1.39492 3.52821i −0.0706345 0.178658i
\(391\) 28.7504 1.45397
\(392\) 0.258819 0.965926i 0.0130723 0.0487866i
\(393\) −13.2710 + 16.5091i −0.669435 + 0.832776i
\(394\) −9.01352 5.20396i −0.454095 0.262172i
\(395\) 1.58273 + 1.58273i 0.0796360 + 0.0796360i
\(396\) 2.42375 3.79155i 0.121798 0.190532i
\(397\) −20.0004 + 5.35909i −1.00379 + 0.268965i −0.723033 0.690814i \(-0.757253\pi\)
−0.280758 + 0.959779i \(0.590586\pi\)
\(398\) 1.77542 1.77542i 0.0889936 0.0889936i
\(399\) −0.761647 + 4.92313i −0.0381300 + 0.246465i
\(400\) 4.01050 2.31546i 0.200525 0.115773i
\(401\) 22.2943 + 5.97375i 1.11333 + 0.298315i 0.768180 0.640234i \(-0.221163\pi\)
0.345146 + 0.938549i \(0.387829\pi\)
\(402\) −17.9156 + 6.95101i −0.893547 + 0.346685i
\(403\) −14.1384 3.69163i −0.704283 0.183893i
\(404\) 5.10535i 0.254001i
\(405\) −5.13210 1.88596i −0.255016 0.0937143i
\(406\) −3.19672 5.53687i −0.158650 0.274790i
\(407\) 6.65043 11.5189i 0.329650 0.570970i
\(408\) −3.49731 + 7.93156i −0.173142 + 0.392671i
\(409\) −6.78397 25.3181i −0.335446 1.25190i −0.903385 0.428830i \(-0.858926\pi\)
0.567940 0.823070i \(-0.307741\pi\)
\(410\) 0.591201 + 2.20639i 0.0291973 + 0.108966i
\(411\) 11.8766 26.9351i 0.585832 1.32861i
\(412\) −2.94652 + 5.10352i −0.145164 + 0.251432i
\(413\) −6.47281 11.2112i −0.318506 0.551669i
\(414\) −7.93411 15.2991i −0.389940 0.751911i
\(415\) 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 \(-0.822370\pi\)
0.0344342 + 0.999407i \(0.489037\pi\)
\(420\) 0.160878 1.03988i 0.00785003 0.0507410i
\(421\) 6.20540 6.20540i 0.302433 0.302433i −0.539532 0.841965i \(-0.681399\pi\)
0.841965 + 0.539532i \(0.181399\pi\)
\(422\) −21.3858 + 5.73030i −1.04104 + 0.278947i
\(423\) 25.3981 + 16.2357i 1.23490 + 0.789409i
\(424\) 5.57529 + 5.57529i 0.270760 + 0.270760i
\(425\) −20.0713 11.5882i −0.973600 0.562108i
\(426\) −6.23312 + 7.75399i −0.301995 + 0.375682i
\(427\) 0.455091 1.69842i 0.0220234 0.0821924i
\(428\) 10.6521 0.514886
\(429\) −3.72452 + 8.59532i −0.179822 + 0.414986i
\(430\) −6.56094 −0.316397
\(431\) −1.96096 + 7.31839i −0.0944559 + 0.352514i −0.996936 0.0782165i \(-0.975077\pi\)
0.902480 + 0.430731i \(0.141744\pi\)
\(432\) 5.18580 0.327793i 0.249502 0.0157709i
\(433\) 3.29167 + 1.90044i 0.158187 + 0.0913295i 0.577004 0.816741i \(-0.304222\pi\)
−0.418817 + 0.908071i \(0.637555\pi\)
\(434\) −2.86572 2.86572i −0.137559 0.137559i
\(435\) −3.97383 5.42844i −0.190531 0.260274i
\(436\) 0.496015 0.132907i 0.0237548 0.00636508i
\(437\) −11.6834 + 11.6834i −0.558892 + 0.558892i
\(438\) −26.2867 4.06676i −1.25603 0.194317i
\(439\) 3.83310 2.21304i 0.182944 0.105623i −0.405731 0.913992i \(-0.632983\pi\)
0.588675 + 0.808370i \(0.299650\pi\)
\(440\) 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 \(-0.00562895\pi\)
\(444\) 15.2684 1.66019i 0.724605 0.0787891i
\(445\) 2.06621 + 3.57877i 0.0979476 + 0.169650i
\(446\) −4.91519 + 8.51336i −0.232741 + 0.403119i
\(447\) 33.0044 + 14.5528i 1.56105 + 0.688324i
\(448\) 0.258819 + 0.965926i 0.0122281 + 0.0456357i
\(449\) 3.55603 + 13.2713i 0.167819 + 0.626310i 0.997664 + 0.0683153i \(0.0217624\pi\)
−0.829845 + 0.557995i \(0.811571\pi\)
\(450\) −0.627499 + 13.8786i −0.0295806 + 0.654243i
\(451\) 2.81997 4.88433i 0.132787 0.229994i
\(452\) −7.68008 13.3023i −0.361241 0.625687i
\(453\) −0.486800 4.47699i −0.0228719 0.210347i
\(454\) 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 0.553675 0.832733i \(-0.313225\pi\)
0.0631300 + 0.998005i \(0.479892\pi\)
\(458\) −1.76452 + 1.01875i −0.0824507 + 0.0476029i
\(459\) −14.3974 21.6560i −0.672012 1.01082i
\(460\) 2.46780 2.46780i 0.115062 0.115062i
\(461\) −18.9023 + 5.06487i −0.880370 + 0.235894i −0.670567 0.741849i \(-0.733949\pi\)
−0.209803 + 0.977744i \(0.567282\pi\)
\(462\) −2.09641 + 1.53466i −0.0975340 + 0.0713988i
\(463\) 1.12387 + 1.12387i 0.0522307 + 0.0522307i 0.732740 0.680509i \(-0.238241\pi\)
−0.680509 + 0.732740i \(0.738241\pi\)
\(464\) 5.53687 + 3.19672i 0.257043 + 0.148404i
\(465\) −3.32376 2.67183i −0.154136 0.123903i
\(466\) 3.29584 12.3002i 0.152677 0.569797i
\(467\) −27.6183 −1.27802 −0.639011 0.769198i \(-0.720656\pi\)
−0.639011 + 0.769198i \(0.720656\pi\)
\(468\) −10.5488 + 2.39229i −0.487618 + 0.110584i
\(469\) 11.0948 0.512310
\(470\) −1.57992 + 5.89635i −0.0728763 + 0.271978i
\(471\) −27.7560 22.3119i −1.27893 1.02808i
\(472\) 11.2112 + 6.47281i 0.516039 + 0.297935i
\(473\) 11.4548 + 11.4548i 0.526692 + 0.526692i
\(474\) 5.14927 3.76947i 0.236514 0.173138i
\(475\) 12.8655 3.44731i 0.590311 0.158173i
\(476\) 3.53885 3.53885i 0.162203 0.162203i
\(477\) −23.1012 + 5.08387i −1.05773 + 0.232774i
\(478\) −16.2180 + 9.36344i −0.741792 + 0.428274i
\(479\) 39.4326 + 10.5659i 1.80172 + 0.482770i 0.994245 0.107131i \(-0.0341665\pi\)
0.807476 + 0.589901i \(0.200833\pi\)
\(480\) 0.380616 + 0.981002i 0.0173727 + 0.0447764i
\(481\) −30.8281 + 8.47200i −1.40564 + 0.386290i
\(482\) 16.2344i 0.739459i
\(483\) 1.07557 + 9.89179i 0.0489403 + 0.450092i
\(484\) 4.37498 + 7.57769i 0.198863 + 0.344440i
\(485\) 0.921310 1.59576i 0.0418345 0.0724595i
\(486\) −7.55076 + 13.6377i −0.342509 + 0.618617i
\(487\) −0.944238 3.52394i −0.0427875 0.159685i 0.941227 0.337776i \(-0.109675\pi\)
−0.984014 + 0.178091i \(0.943008\pi\)
\(488\) 0.455091 + 1.69842i 0.0206010 + 0.0768840i
\(489\) 10.6471 + 4.69467i 0.481477 + 0.212300i
\(490\) −0.303759 + 0.526126i −0.0137224 + 0.0237680i
\(491\) −12.1442 21.0344i −0.548061 0.949269i −0.998407 0.0564153i \(-0.982033\pi\)
0.450347 0.892854i \(-0.351300\pi\)
\(492\) 6.47423 0.703967i 0.291881 0.0317373i
\(493\) 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
\(498\) −12.4809 1.93090i −0.559284 0.0865257i
\(499\) −6.04184 + 6.04184i −0.270470 + 0.270470i −0.829289 0.558819i \(-0.811254\pi\)
0.558819 + 0.829289i \(0.311254\pi\)
\(500\) −5.65159 + 1.51434i −0.252747 + 0.0677233i
\(501\) 7.15394 + 9.77261i 0.319614 + 0.436608i
\(502\) 0.760073 + 0.760073i 0.0339237 + 0.0339237i
\(503\) 16.7473 + 9.66904i 0.746724 + 0.431121i 0.824509 0.565849i \(-0.191452\pi\)
−0.0777852 + 0.996970i \(0.524785\pi\)
\(504\) −2.85975 0.906550i −0.127383 0.0403809i
\(505\) −0.802751 + 2.99591i −0.0357219 + 0.133316i
\(506\) −8.61712 −0.383078
\(507\) 20.8861 8.41242i 0.927586 0.373609i
\(508\) −10.5568 −0.468381
\(509\) −9.82494 + 36.6672i −0.435483 + 1.62524i 0.304426 + 0.952536i \(0.401535\pi\)
−0.739908 + 0.672708i \(0.765131\pi\)
\(510\) 3.29942 4.10447i 0.146101 0.181749i
\(511\) 13.2997 + 7.67859i 0.588344 + 0.339681i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 14.6511 + 2.94970i 0.646862 + 0.130233i
\(514\) 21.0448 5.63894i 0.928246 0.248723i
\(515\) 2.53153 2.53153i 0.111553 0.111553i
\(516\) −2.85985 + 18.4855i −0.125898 + 0.813779i
\(517\) 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 \(-0.0959040\pi\)
\(522\) −17.0268 + 8.83010i −0.745244 + 0.386483i
\(523\) −21.9843 38.0779i −0.961305 1.66503i −0.719231 0.694771i \(-0.755506\pi\)
−0.242074 0.970258i \(-0.577828\pi\)
\(524\) −6.11468 + 10.5909i −0.267121 + 0.462667i
\(525\) 3.23611 7.33920i 0.141236 0.320309i
\(526\) 2.20936 + 8.24546i 0.0963328 + 0.359519i
\(527\) −5.24956 19.5916i −0.228674 0.853424i
\(528\) 1.04822 2.37726i 0.0456179 0.103457i
\(529\) −5.00074 + 8.66153i −0.217423 + 0.376588i
\(530\) −2.39503 4.14832i −0.104034 0.180192i
\(531\) −34.4764 + 17.8795i −1.49615 + 0.775902i
\(532\) 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
\(537\) −4.40800 + 28.4924i −0.190219 + 1.22954i
\(538\) −11.3397 + 11.3397i −0.488890 + 0.488890i
\(539\) 1.44890 0.388232i 0.0624086 0.0167223i
\(540\) −3.09466 0.623047i −0.133173 0.0268117i
\(541\) −20.4730 20.4730i −0.880204 0.880204i 0.113351 0.993555i \(-0.463841\pi\)
−0.993555 + 0.113351i \(0.963841\pi\)
\(542\) −6.80945 3.93144i −0.292491 0.168870i
\(543\) 5.41799 6.73998i 0.232508 0.289240i
\(544\) −1.29531 + 4.83416i −0.0555359 + 0.207263i
\(545\) −0.311968 −0.0133632
\(546\) 6.17756 + 0.915309i 0.264375 + 0.0391716i
\(547\) −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
\(549\) −5.02840 1.59402i −0.214607 0.0680311i
\(550\) 6.01580 + 3.47322i 0.256515 + 0.148099i
\(551\) 13.0028 + 13.0028i 0.553936 + 0.553936i
\(552\) −5.87737 8.02876i −0.250157 0.341727i
\(553\) −3.55883 + 0.953587i −0.151337 + 0.0405506i
\(554\) −13.6375 + 13.6375i −0.579401 + 0.579401i
\(555\) −9.22079 1.42653i −0.391401 0.0605528i
\(556\) 5.80239 3.35001i 0.246076 0.142072i
\(557\) −5.20313 1.39418i −0.220464 0.0590731i 0.146896 0.989152i \(-0.453072\pi\)
−0.367360 + 0.930079i \(0.619738\pi\)
\(558\) −8.97671 + 8.20009i −0.380014 + 0.347137i
\(559\) −0.248986 38.9376i −0.0105310 1.64689i
\(560\) 0.607518i 0.0256723i
\(561\) −12.9265 + 1.40555i −0.545757 + 0.0593423i
\(562\) 11.3632 + 19.6816i 0.479327 + 0.830219i
\(563\) −20.4692 + 35.4536i −0.862672 + 1.49419i 0.00666798 + 0.999978i \(0.497877\pi\)
−0.869340 + 0.494214i \(0.835456\pi\)
\(564\) 15.9243 + 7.02161i 0.670535 + 0.295663i
\(565\) 2.41519 + 9.01361i 0.101608 + 0.379205i
\(566\) −3.78087 14.1104i −0.158922 0.593104i
\(567\) 6.91229 5.76370i 0.290289 0.242052i
\(568\) −2.87193 + 4.97434i −0.120504 + 0.208718i
\(569\) 18.8139 + 32.5867i 0.788722 + 1.36611i 0.926750 + 0.375678i \(0.122590\pi\)
−0.138029 + 0.990428i \(0.544077\pi\)
\(570\) 0.327152 + 3.00874i 0.0137029 + 0.126022i
\(571\) 46.6107i 1.95060i 0.220892 + 0.975298i \(0.429103\pi\)
−0.220892 + 0.975298i \(0.570897\pi\)
\(572\) −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
\(576\) 2.92989 0.644780i 0.122079 0.0268658i
\(577\) −19.7783 + 19.7783i −0.823382 + 0.823382i −0.986591 0.163210i \(-0.947815\pi\)
0.163210 + 0.986591i \(0.447815\pi\)
\(578\) 7.77272 2.08269i 0.323302 0.0866286i
\(579\) −14.4785 + 10.5988i −0.601705 + 0.440472i
\(580\) −2.74649 2.74649i −0.114042 0.114042i
\(581\) 6.31471 + 3.64580i 0.261978 + 0.151253i
\(582\) −4.09447 3.29137i −0.169721 0.136432i
\(583\) −3.06108 + 11.4241i −0.126777 + 0.473138i
\(584\) −15.3572 −0.635484
\(585\) 6.56637 + 0.254826i 0.271486 + 0.0105358i
\(586\) −8.46435 −0.349659
\(587\) −4.80513 + 17.9330i −0.198329 + 0.740174i 0.793051 + 0.609156i \(0.208491\pi\)
−0.991380 + 0.131019i \(0.958175\pi\)
\(588\) 1.34996 + 1.08518i 0.0556714 + 0.0447520i
\(589\) 10.0948 + 5.82822i 0.415948 + 0.240148i
\(590\) −5.56118 5.56118i −0.228950 0.228950i
\(591\) 14.5461 10.6483i 0.598345 0.438013i
\(592\) 8.56502 2.29499i 0.352020 0.0943235i
\(593\) −23.0341 + 23.0341i −0.945899 + 0.945899i −0.998610 0.0527111i \(-0.983214\pi\)
0.0527111 + 0.998610i \(0.483214\pi\)
\(594\) 4.31521 + 6.49077i 0.177055 + 0.266320i
\(595\) −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 \(0.874536\pi\)
\(600\) 0.867043 + 7.97399i 0.0353969 + 0.325537i
\(601\) 3.42337 + 5.92945i 0.139642 + 0.241867i 0.927361 0.374167i \(-0.122071\pi\)
−0.787719 + 0.616035i \(0.788738\pi\)
\(602\) 5.39979 9.35271i 0.220079 0.381188i
\(603\) 1.50337 33.2504i 0.0612218 1.35406i
\(604\) −0.672936 2.51143i −0.0273814 0.102189i
\(605\) −1.37582 5.13463i −0.0559350 0.208752i
\(606\) 8.09108 + 3.56765i 0.328678 + 0.144926i
\(607\) 22.9741 39.7924i 0.932491 1.61512i 0.153443 0.988157i \(-0.450964\pi\)
0.779048 0.626964i \(-0.215703\pi\)
\(608\) −1.43809 2.49085i −0.0583223 0.101017i
\(609\) 11.0089 1.19704i 0.446102 0.0485063i
\(610\) 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 −0.0983444 0.995152i \(-0.531355\pi\)
−0.582745 + 0.812655i \(0.698021\pi\)
\(614\) −7.04115 + 4.06521i −0.284158 + 0.164059i
\(615\) −3.90988 0.604889i −0.157661 0.0243915i
\(616\) −1.06067 + 1.06067i −0.0427356 + 0.0427356i
\(617\) −17.9619 + 4.81288i −0.723119 + 0.193759i −0.601563 0.798825i \(-0.705455\pi\)
−0.121556 + 0.992585i \(0.538788\pi\)
\(618\) −6.02914 8.23608i −0.242527 0.331304i
\(619\) 14.2267 + 14.2267i 0.571818 + 0.571818i 0.932636 0.360818i \(-0.117502\pi\)
−0.360818 + 0.932636i \(0.617502\pi\)
\(620\) −2.13226 1.23106i −0.0856334 0.0494405i
\(621\) 29.7908 1.88307i 1.19546 0.0755649i
\(622\) 6.91841 25.8199i 0.277403 1.03528i
\(623\) −6.80212 −0.272521
\(624\) −5.80758 + 2.29610i −0.232489 + 0.0919175i
\(625\) −19.6000 −0.784002
\(626\) −4.38112 + 16.3505i −0.175105 + 0.653499i
\(627\) 4.68180 5.82415i 0.186973 0.232594i
\(628\) −17.8060 10.2803i −0.710538 0.410229i
\(629\) −31.3795 31.3795i −1.25118 1.25118i
\(630\) 1.53561 + 0.981638i 0.0611801 + 0.0391094i
\(631\) 18.0970 4.84907i 0.720430 0.193039i 0.120066 0.992766i \(-0.461689\pi\)
0.600363 + 0.799727i \(0.295023\pi\)
\(632\) 2.60525 2.60525i 0.103631 0.103631i
\(633\) 5.86298 37.8971i 0.233032 1.50627i
\(634\) 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
\(639\) −7.93298 15.2969i −0.313824 0.605137i
\(640\) 0.303759 + 0.526126i 0.0120071 + 0.0207970i
\(641\) 12.0969 20.9525i 0.477799 0.827573i −0.521877 0.853021i \(-0.674768\pi\)
0.999676 + 0.0254482i \(0.00810130\pi\)
\(642\) −7.44372 + 16.8816i −0.293780 + 0.666265i
\(643\) −2.06922 7.72242i −0.0816020 0.304543i 0.913047 0.407854i \(-0.133723\pi\)
−0.994649 + 0.103311i \(0.967056\pi\)
\(644\) 1.48684 + 5.54895i 0.0585895 + 0.218659i
\(645\) 4.58482 10.3979i 0.180527 0.409419i
\(646\) −7.19720 + 12.4659i −0.283170 + 0.490465i
\(647\) −12.4194 21.5110i −0.488256 0.845684i 0.511653 0.859192i \(-0.329033\pi\)
−0.999909 + 0.0135085i \(0.995700\pi\)
\(648\) −3.10437 + 8.44765i −0.121951 + 0.331855i
\(649\) 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 \(-0.418382\pi\)
0.964517 + 0.264019i \(0.0850483\pi\)
\(654\) −0.135984 + 0.878973i −0.00531739 + 0.0343705i
\(655\) 5.25349 5.25349i 0.205271 0.205271i
\(656\) 3.63181 0.973141i 0.141798 0.0379948i
\(657\) 24.8144 38.8179i 0.968102 1.51443i
\(658\) −7.10501 7.10501i −0.276982 0.276982i
\(659\) 18.0111 + 10.3987i 0.701611 + 0.405075i 0.807947 0.589255i \(-0.200579\pi\)
−0.106336 + 0.994330i \(0.533912\pi\)
\(660\) −0.988907 + 1.23020i −0.0384931 + 0.0478854i
\(661\) −8.51046 + 31.7615i −0.331018 + 1.23538i 0.577103 + 0.816671i \(0.304183\pi\)
−0.908122 + 0.418706i \(0.862484\pi\)
\(662\) 21.5711 0.838384
\(663\) 24.4843 + 19.4255i 0.950890 + 0.754424i
\(664\) −7.29160 −0.282969
\(665\) 0.452243 1.68779i 0.0175372 0.0654499i
\(666\) −8.03852 + 25.3579i −0.311486 + 0.982597i
\(667\) 31.8076 + 18.3641i 1.23160 + 0.711063i
\(668\) 4.94440 + 4.94440i 0.191305 + 0.191305i
\(669\) −10.0574 13.7389i −0.388843 0.531177i
\(670\) 6.51062 1.74452i 0.251527 0.0673965i
\(671\) −1.86502 + 1.86502i −0.0719981 + 0.0719981i
\(672\) −1.71169 0.264812i −0.0660298 0.0102153i
\(673\) −27.0469 + 15.6155i −1.04258 + 0.601934i −0.920563 0.390594i \(-0.872270\pi\)
−0.122017 + 0.992528i \(0.538936\pi\)
\(674\) 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 \(0.983862\pi\)
\(678\) 26.4487 2.87587i 1.01576 0.110447i
\(679\) 1.51651 + 2.62668i 0.0581985 + 0.100803i
\(680\) 1.52022 2.63310i 0.0582977 0.100975i
\(681\) −9.17777 4.04680i −0.351693 0.155074i
\(682\) 1.57341 + 5.87203i 0.0602489 + 0.224852i
\(683\) 10.8450 + 40.4741i 0.414972 + 1.54870i 0.784891 + 0.619633i \(0.212719\pi\)
−0.369919 + 0.929064i \(0.620615\pi\)
\(684\) 8.61975 + 0.389729i 0.329584 + 0.0149016i
\(685\) −5.16258 + 8.94184i −0.197252 + 0.341650i
\(686\) −0.500000 0.866025i −0.0190901 0.0330650i
\(687\) −0.381478 3.50837i −0.0145543 0.133852i
\(688\) 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 0.555031 0.831829i \(-0.312706\pi\)
0.0647564 + 0.997901i \(0.479373\pi\)
\(692\) −7.26366 + 4.19368i −0.276123 + 0.159420i
\(693\) −0.967179 4.39488i −0.0367401 0.166948i
\(694\) 9.03343 9.03343i 0.342904 0.342904i
\(695\) −3.93169 + 1.05349i −0.149137 + 0.0399612i
\(696\) −8.93544 + 6.54109i −0.338697 + 0.247940i
\(697\) −13.3058 13.3058i −0.503994 0.503994i
\(698\) −25.5773 14.7670i −0.968114 0.558941i
\(699\) 17.1906 + 13.8188i 0.650207 + 0.522675i
\(700\) 1.19857 4.47313i 0.0453017 0.169068i
\(701\) 29.1790 1.10208 0.551038 0.834480i \(-0.314232\pi\)
0.551038 + 0.834480i \(0.314232\pi\)
\(702\) 3.58020 18.3897i 0.135126 0.694076i
\(703\) 25.5036 0.961886
\(704\) 0.388232 1.44890i 0.0146321 0.0546076i
\(705\) −8.24062 6.62430i −0.310360 0.249486i
\(706\) 18.4719 + 10.6647i 0.695198 + 0.401372i
\(707\) −3.61003 3.61003i −0.135769 0.135769i
\(708\) −18.0927 + 13.2446i −0.679967 + 0.497763i
\(709\) 12.3313 3.30417i 0.463112 0.124091i −0.0197161 0.999806i \(-0.506276\pi\)
0.482828 + 0.875715i \(0.339610\pi\)
\(710\) 2.46745 2.46745i 0.0926018 0.0926018i
\(711\) 2.37561 + 10.7948i 0.0890924 + 0.404837i
\(712\) 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
\(717\) −3.50622 32.2458i −0.130942 1.20424i
\(718\) 4.68874 + 8.12113i 0.174982 + 0.303078i
\(719\) −18.6879 + 32.3684i −0.696942 + 1.20714i 0.272580 + 0.962133i \(0.412123\pi\)
−0.969522 + 0.245006i \(0.921210\pi\)
\(720\) −1.82069 0.0823199i −0.0678533 0.00306788i
\(721\) 1.52523 + 5.69223i 0.0568025 + 0.211990i
\(722\) 2.77650 + 10.3620i 0.103331 + 0.385635i
\(723\) 25.7288 + 11.3447i 0.956863 + 0.421915i
\(724\) 2.49636 4.32383i 0.0927766 0.160694i
\(725\) −14.8037 25.6408i −0.549797 0.952277i
\(726\) −15.0666 + 1.63825i −0.559173 + 0.0608010i
\(727\) 5.06432i 0.187825i −0.995580 0.0939126i \(-0.970063\pi\)
0.995580 0.0939126i \(-0.0299374\pi\)
\(728\) 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
\(732\) −3.00972 0.465628i −0.111243 0.0172101i
\(733\) −31.5628 + 31.5628i −1.16580 + 1.16580i −0.182613 + 0.983185i \(0.558455\pi\)
−0.983185 + 0.182613i \(0.941545\pi\)
\(734\) −4.27524 + 1.14555i −0.157802 + 0.0422829i
\(735\) −0.621549 0.849065i −0.0229262 0.0313182i
\(736\) −4.06211 4.06211i −0.149731 0.149731i
\(737\) −14.4127 8.32118i −0.530899 0.306515i
\(738\) −3.40856 + 10.7525i −0.125471 + 0.395803i
\(739\) −6.71344 + 25.0549i −0.246958 + 0.921659i 0.725431 + 0.688294i \(0.241640\pi\)
−0.972389 + 0.233365i \(0.925026\pi\)
\(740\) −5.38696 −0.198029
\(741\) −17.8437 + 2.05575i −0.655506 + 0.0755198i
\(742\) 7.88465 0.289455
\(743\) 1.54626 5.77071i 0.0567267 0.211707i −0.931745 0.363114i \(-0.881714\pi\)
0.988472 + 0.151407i \(0.0483803\pi\)
\(744\) −4.39795 + 5.47104i −0.161237 + 0.200578i
\(745\) −10.9567 6.32586i −0.401423 0.231761i
\(746\) 13.2070 + 13.2070i 0.483541 + 0.483541i
\(747\) 11.7819 18.4308i 0.431077 0.674347i
\(748\) −7.25131 + 1.94298i −0.265134 + 0.0710424i
\(749\) 7.53214 7.53214i 0.275218 0.275218i
\(750\) 1.54940 10.0150i 0.0565762 0.365697i
\(751\) 7.90712 4.56518i 0.288535 0.166586i −0.348746 0.937217i \(-0.613392\pi\)
0.637281 + 0.770632i \(0.280059\pi\)
\(752\) 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
\(756\) 3.43513 3.89870i 0.124935 0.141794i
\(757\) 18.4318 + 31.9247i 0.669913 + 1.16032i 0.977928 + 0.208942i \(0.0670021\pi\)
−0.308015 + 0.951382i \(0.599665\pi\)
\(758\) 14.6209 25.3242i 0.531055 0.919815i
\(759\) 6.02169 13.6566i 0.218574 0.495704i
\(760\) 0.452243 + 1.68779i 0.0164046 + 0.0612227i
\(761\) 5.30708 + 19.8063i 0.192382 + 0.717978i 0.992929 + 0.118708i \(0.0378754\pi\)
−0.800548 + 0.599269i \(0.795458\pi\)
\(762\) 7.37713 16.7306i 0.267245 0.606087i
\(763\) 0.256756 0.444715i 0.00929519 0.0160997i
\(764\) −0.125258 0.216953i −0.00453166 0.00784907i
\(765\) 4.19921 + 8.09722i 0.151823 + 0.292756i
\(766\) 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 −0.447004 0.894532i \(-0.647509\pi\)
−0.834383 + 0.551185i \(0.814176\pi\)
\(770\) 0.789196 0.455643i 0.0284407 0.0164202i
\(771\) −5.76950 + 37.2929i −0.207783 + 1.34307i
\(772\) −7.32531 + 7.32531i −0.263644 + 0.263644i
\(773\) 38.5539 10.3305i 1.38669 0.371561i 0.513141 0.858304i \(-0.328482\pi\)
0.873545 + 0.486743i \(0.161815\pi\)