Properties

Label 273.2.bv.b.128.6
Level $273$
Weight $2$
Character 273.128
Analytic conductor $2.180$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bv (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(32\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 128.6
Character \(\chi\) \(=\) 273.128
Dual form 273.2.bv.b.32.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.49865 + 1.49865i) q^{2} +(-1.00312 - 1.41200i) q^{3} -2.49189i q^{4} +(0.189246 + 0.706275i) q^{5} +(3.61942 + 0.612770i) q^{6} +(-2.64267 - 0.127700i) q^{7} +(0.737165 + 0.737165i) q^{8} +(-0.987501 + 2.83282i) q^{9} +O(q^{10})\) \(q+(-1.49865 + 1.49865i) q^{2} +(-1.00312 - 1.41200i) q^{3} -2.49189i q^{4} +(0.189246 + 0.706275i) q^{5} +(3.61942 + 0.612770i) q^{6} +(-2.64267 - 0.127700i) q^{7} +(0.737165 + 0.737165i) q^{8} +(-0.987501 + 2.83282i) q^{9} +(-1.34207 - 0.774844i) q^{10} +(3.26458 - 0.874742i) q^{11} +(-3.51855 + 2.49966i) q^{12} +(3.48370 - 0.929429i) q^{13} +(4.15180 - 3.76905i) q^{14} +(0.807426 - 0.975694i) q^{15} +2.77427 q^{16} +4.62710 q^{17} +(-2.76548 - 5.72531i) q^{18} +(-1.69330 + 6.31950i) q^{19} +(1.75996 - 0.471579i) q^{20} +(2.47060 + 3.85955i) q^{21} +(-3.58153 + 6.20338i) q^{22} +1.23779 q^{23} +(0.301414 - 1.78034i) q^{24} +(3.86712 - 2.23268i) q^{25} +(-3.82795 + 6.61372i) q^{26} +(4.99052 - 1.44730i) q^{27} +(-0.318214 + 6.58523i) q^{28} +(0.0742930 - 0.0428931i) q^{29} +(0.252175 + 2.67227i) q^{30} +(-1.75110 + 6.53521i) q^{31} +(-5.63199 + 5.63199i) q^{32} +(-4.50990 - 3.73212i) q^{33} +(-6.93438 + 6.93438i) q^{34} +(-0.409922 - 1.89062i) q^{35} +(7.05905 + 2.46074i) q^{36} +(3.78999 - 3.78999i) q^{37} +(-6.93303 - 12.0084i) q^{38} +(-4.80692 - 3.98666i) q^{39} +(-0.381136 + 0.660146i) q^{40} +(11.3670 + 3.04579i) q^{41} +(-9.48666 - 2.08155i) q^{42} +(-7.89663 - 4.55912i) q^{43} +(-2.17976 - 8.13497i) q^{44} +(-2.18763 - 0.161349i) q^{45} +(-1.85501 + 1.85501i) q^{46} +(1.11118 - 0.297740i) q^{47} +(-2.78293 - 3.91728i) q^{48} +(6.96739 + 0.674939i) q^{49} +(-2.44944 + 9.14144i) q^{50} +(-4.64153 - 6.53347i) q^{51} +(-2.31603 - 8.68098i) q^{52} +(-0.966555 + 0.558041i) q^{53} +(-5.31004 + 9.64803i) q^{54} +(1.23562 + 2.14015i) q^{55} +(-1.85394 - 2.04222i) q^{56} +(10.6217 - 3.94826i) q^{57} +(-0.0470574 + 0.175621i) q^{58} +(0.0904502 + 0.0904502i) q^{59} +(-2.43132 - 2.01201i) q^{60} +(0.604519 + 1.04706i) q^{61} +(-7.16968 - 12.4183i) q^{62} +(2.97139 - 7.36009i) q^{63} -11.3322i q^{64} +(1.31571 + 2.28456i) q^{65} +(12.3519 - 1.16562i) q^{66} +(7.33907 - 1.96650i) q^{67} -11.5302i q^{68} +(-1.24165 - 1.74776i) q^{69} +(3.44770 + 2.21904i) q^{70} +(-0.179939 - 0.671543i) q^{71} +(-2.81620 + 1.36030i) q^{72} +(-3.83834 - 1.02848i) q^{73} +11.3597i q^{74} +(-7.03173 - 3.22073i) q^{75} +(15.7475 + 4.21952i) q^{76} +(-8.73891 + 1.89476i) q^{77} +(13.1785 - 1.22928i) q^{78} +(7.74974 - 13.4229i) q^{79} +(0.525020 + 1.95940i) q^{80} +(-7.04968 - 5.59481i) q^{81} +(-21.5997 + 12.4706i) q^{82} +(-4.66837 + 4.66837i) q^{83} +(9.61756 - 6.15645i) q^{84} +(0.875658 + 3.26800i) q^{85} +(18.6668 - 5.00175i) q^{86} +(-0.135090 - 0.0618750i) q^{87} +(3.05136 + 1.76170i) q^{88} +(-8.63123 - 8.63123i) q^{89} +(3.52029 - 3.03668i) q^{90} +(-9.32495 + 2.01130i) q^{91} -3.08443i q^{92} +(10.9843 - 4.08303i) q^{93} +(-1.21906 + 2.11147i) q^{94} -4.78375 q^{95} +(13.6019 + 2.30282i) q^{96} +(-7.29693 + 1.95521i) q^{97} +(-11.4531 + 9.43016i) q^{98} +(-0.745794 + 10.1118i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9} - 12 q^{10} + 48 q^{12} - 16 q^{13} - 6 q^{15} - 64 q^{16} - 2 q^{18} - 4 q^{19} - 6 q^{21} - 8 q^{22} + 2 q^{24} - 40 q^{27} + 68 q^{28} + 18 q^{30} + 20 q^{31} - 16 q^{33} - 48 q^{34} - 60 q^{36} - 8 q^{37} + 4 q^{39} + 44 q^{40} + 2 q^{42} - 144 q^{43} - 2 q^{45} - 24 q^{46} - 64 q^{48} - 60 q^{49} - 36 q^{51} + 48 q^{52} + 14 q^{54} - 16 q^{55} + 40 q^{57} + 44 q^{58} - 58 q^{60} + 20 q^{61} + 14 q^{63} - 34 q^{66} - 84 q^{67} - 54 q^{69} - 104 q^{70} + 46 q^{72} - 48 q^{73} + 144 q^{76} + 82 q^{78} - 24 q^{79} + 24 q^{81} + 36 q^{82} + 184 q^{84} + 56 q^{85} + 4 q^{87} + 132 q^{88} + 24 q^{91} + 16 q^{93} - 16 q^{94} - 90 q^{96} + 52 q^{97} - 10 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.49865 + 1.49865i −1.05970 + 1.05970i −0.0616028 + 0.998101i \(0.519621\pi\)
−0.998101 + 0.0616028i \(0.980379\pi\)
\(3\) −1.00312 1.41200i −0.579152 0.815220i
\(4\) 2.49189i 1.24594i
\(5\) 0.189246 + 0.706275i 0.0846333 + 0.315856i 0.995244 0.0974084i \(-0.0310553\pi\)
−0.910611 + 0.413264i \(0.864389\pi\)
\(6\) 3.61942 + 0.612770i 1.47762 + 0.250162i
\(7\) −2.64267 0.127700i −0.998835 0.0482661i
\(8\) 0.737165 + 0.737165i 0.260627 + 0.260627i
\(9\) −0.987501 + 2.83282i −0.329167 + 0.944272i
\(10\) −1.34207 0.774844i −0.424400 0.245027i
\(11\) 3.26458 0.874742i 0.984308 0.263745i 0.269450 0.963014i \(-0.413158\pi\)
0.714858 + 0.699270i \(0.246491\pi\)
\(12\) −3.51855 + 2.49966i −1.01572 + 0.721590i
\(13\) 3.48370 0.929429i 0.966204 0.257777i
\(14\) 4.15180 3.76905i 1.10962 1.00732i
\(15\) 0.807426 0.975694i 0.208476 0.251923i
\(16\) 2.77427 0.693569
\(17\) 4.62710 1.12224 0.561118 0.827736i \(-0.310372\pi\)
0.561118 + 0.827736i \(0.310372\pi\)
\(18\) −2.76548 5.72531i −0.651829 1.34947i
\(19\) −1.69330 + 6.31950i −0.388471 + 1.44979i 0.444152 + 0.895951i \(0.353505\pi\)
−0.832623 + 0.553841i \(0.813162\pi\)
\(20\) 1.75996 0.471579i 0.393538 0.105448i
\(21\) 2.47060 + 3.85955i 0.539129 + 0.842223i
\(22\) −3.58153 + 6.20338i −0.763584 + 1.32257i
\(23\) 1.23779 0.258097 0.129048 0.991638i \(-0.458808\pi\)
0.129048 + 0.991638i \(0.458808\pi\)
\(24\) 0.301414 1.78034i 0.0615258 0.363411i
\(25\) 3.86712 2.23268i 0.773423 0.446536i
\(26\) −3.82795 + 6.61372i −0.750723 + 1.29706i
\(27\) 4.99052 1.44730i 0.960427 0.278533i
\(28\) −0.318214 + 6.58523i −0.0601369 + 1.24449i
\(29\) 0.0742930 0.0428931i 0.0137959 0.00796505i −0.493086 0.869980i \(-0.664131\pi\)
0.506882 + 0.862015i \(0.330798\pi\)
\(30\) 0.252175 + 2.67227i 0.0460406 + 0.487887i
\(31\) −1.75110 + 6.53521i −0.314507 + 1.17376i 0.609940 + 0.792448i \(0.291194\pi\)
−0.924447 + 0.381310i \(0.875473\pi\)
\(32\) −5.63199 + 5.63199i −0.995604 + 0.995604i
\(33\) −4.50990 3.73212i −0.785073 0.649680i
\(34\) −6.93438 + 6.93438i −1.18924 + 1.18924i
\(35\) −0.409922 1.89062i −0.0692895 0.319573i
\(36\) 7.05905 + 2.46074i 1.17651 + 0.410123i
\(37\) 3.78999 3.78999i 0.623070 0.623070i −0.323245 0.946315i \(-0.604774\pi\)
0.946315 + 0.323245i \(0.104774\pi\)
\(38\) −6.93303 12.0084i −1.12469 1.94801i
\(39\) −4.80692 3.98666i −0.769724 0.638377i
\(40\) −0.381136 + 0.660146i −0.0602628 + 0.104378i
\(41\) 11.3670 + 3.04579i 1.77523 + 0.475672i 0.989701 0.143148i \(-0.0457226\pi\)
0.785532 + 0.618821i \(0.212389\pi\)
\(42\) −9.48666 2.08155i −1.46382 0.321190i
\(43\) −7.89663 4.55912i −1.20423 0.695260i −0.242734 0.970093i \(-0.578044\pi\)
−0.961492 + 0.274833i \(0.911377\pi\)
\(44\) −2.17976 8.13497i −0.328611 1.22639i
\(45\) −2.18763 0.161349i −0.326112 0.0240524i
\(46\) −1.85501 + 1.85501i −0.273506 + 0.273506i
\(47\) 1.11118 0.297740i 0.162082 0.0434298i −0.176865 0.984235i \(-0.556596\pi\)
0.338948 + 0.940805i \(0.389929\pi\)
\(48\) −2.78293 3.91728i −0.401681 0.565411i
\(49\) 6.96739 + 0.674939i 0.995341 + 0.0964198i
\(50\) −2.44944 + 9.14144i −0.346404 + 1.29280i
\(51\) −4.64153 6.53347i −0.649944 0.914869i
\(52\) −2.31603 8.68098i −0.321176 1.20384i
\(53\) −0.966555 + 0.558041i −0.132767 + 0.0766528i −0.564912 0.825151i \(-0.691090\pi\)
0.432146 + 0.901804i \(0.357757\pi\)
\(54\) −5.31004 + 9.64803i −0.722605 + 1.31293i
\(55\) 1.23562 + 2.14015i 0.166610 + 0.288578i
\(56\) −1.85394 2.04222i −0.247744 0.272903i
\(57\) 10.6217 3.94826i 1.40688 0.522960i
\(58\) −0.0470574 + 0.175621i −0.00617894 + 0.0230601i
\(59\) 0.0904502 + 0.0904502i 0.0117756 + 0.0117756i 0.712970 0.701194i \(-0.247350\pi\)
−0.701194 + 0.712970i \(0.747350\pi\)
\(60\) −2.43132 2.01201i −0.313882 0.259750i
\(61\) 0.604519 + 1.04706i 0.0774008 + 0.134062i 0.902128 0.431469i \(-0.142005\pi\)
−0.824727 + 0.565531i \(0.808671\pi\)
\(62\) −7.16968 12.4183i −0.910551 1.57712i
\(63\) 2.97139 7.36009i 0.374360 0.927284i
\(64\) 11.3322i 1.41652i
\(65\) 1.31571 + 2.28456i 0.163193 + 0.283365i
\(66\) 12.3519 1.16562i 1.52041 0.143477i
\(67\) 7.33907 1.96650i 0.896610 0.240246i 0.219050 0.975714i \(-0.429704\pi\)
0.677560 + 0.735468i \(0.263038\pi\)
\(68\) 11.5302i 1.39824i
\(69\) −1.24165 1.74776i −0.149477 0.210406i
\(70\) 3.44770 + 2.21904i 0.412079 + 0.265226i
\(71\) −0.179939 0.671543i −0.0213549 0.0796975i 0.954426 0.298447i \(-0.0964688\pi\)
−0.975781 + 0.218750i \(0.929802\pi\)
\(72\) −2.81620 + 1.36030i −0.331893 + 0.160313i
\(73\) −3.83834 1.02848i −0.449244 0.120374i 0.0271019 0.999633i \(-0.491372\pi\)
−0.476345 + 0.879258i \(0.658039\pi\)
\(74\) 11.3597i 1.32054i
\(75\) −7.03173 3.22073i −0.811955 0.371898i
\(76\) 15.7475 + 4.21952i 1.80636 + 0.484012i
\(77\) −8.73891 + 1.89476i −0.995891 + 0.215928i
\(78\) 13.1785 1.22928i 1.49217 0.139189i
\(79\) 7.74974 13.4229i 0.871913 1.51020i 0.0118986 0.999929i \(-0.496212\pi\)
0.860015 0.510269i \(-0.170454\pi\)
\(80\) 0.525020 + 1.95940i 0.0586990 + 0.219068i
\(81\) −7.04968 5.59481i −0.783298 0.621646i
\(82\) −21.5997 + 12.4706i −2.38529 + 1.37715i
\(83\) −4.66837 + 4.66837i −0.512420 + 0.512420i −0.915267 0.402847i \(-0.868021\pi\)
0.402847 + 0.915267i \(0.368021\pi\)
\(84\) 9.61756 6.15645i 1.04936 0.671724i
\(85\) 0.875658 + 3.26800i 0.0949785 + 0.354464i
\(86\) 18.6668 5.00175i 2.01289 0.539353i
\(87\) −0.135090 0.0618750i −0.0144832 0.00663369i
\(88\) 3.05136 + 1.76170i 0.325276 + 0.187798i
\(89\) −8.63123 8.63123i −0.914909 0.914909i 0.0817446 0.996653i \(-0.473951\pi\)
−0.996653 + 0.0817446i \(0.973951\pi\)
\(90\) 3.52029 3.03668i 0.371071 0.320094i
\(91\) −9.32495 + 2.01130i −0.977520 + 0.210842i
\(92\) 3.08443i 0.321574i
\(93\) 10.9843 4.08303i 1.13902 0.423391i
\(94\) −1.21906 + 2.11147i −0.125736 + 0.217782i
\(95\) −4.78375 −0.490803
\(96\) 13.6019 + 2.30282i 1.38824 + 0.235031i
\(97\) −7.29693 + 1.95521i −0.740891 + 0.198521i −0.609474 0.792806i \(-0.708619\pi\)
−0.131417 + 0.991327i \(0.541953\pi\)
\(98\) −11.4531 + 9.43016i −1.15694 + 0.952590i
\(99\) −0.745794 + 10.1118i −0.0749552 + 1.01627i
\(100\) −5.56359 9.63642i −0.556359 0.963642i
\(101\) −6.10473 + 10.5737i −0.607443 + 1.05212i 0.384217 + 0.923243i \(0.374471\pi\)
−0.991660 + 0.128879i \(0.958862\pi\)
\(102\) 16.7474 + 2.83535i 1.65824 + 0.280741i
\(103\) 3.29955 + 1.90500i 0.325115 + 0.187705i 0.653670 0.756780i \(-0.273228\pi\)
−0.328555 + 0.944485i \(0.606562\pi\)
\(104\) 3.25320 + 1.88292i 0.319003 + 0.184635i
\(105\) −2.25835 + 2.47533i −0.220393 + 0.241567i
\(106\) 0.612219 2.28483i 0.0594639 0.221922i
\(107\) 3.64738i 0.352606i −0.984336 0.176303i \(-0.943586\pi\)
0.984336 0.176303i \(-0.0564138\pi\)
\(108\) −3.60651 12.4358i −0.347036 1.19664i
\(109\) −1.85970 + 6.94049i −0.178127 + 0.664778i 0.817871 + 0.575402i \(0.195154\pi\)
−0.995998 + 0.0893768i \(0.971512\pi\)
\(110\) −5.05908 1.35558i −0.482365 0.129249i
\(111\) −9.15328 1.54966i −0.868791 0.147087i
\(112\) −7.33148 0.354275i −0.692760 0.0334759i
\(113\) 6.52741 + 3.76860i 0.614047 + 0.354520i 0.774548 0.632516i \(-0.217978\pi\)
−0.160501 + 0.987036i \(0.551311\pi\)
\(114\) −10.0012 + 21.8353i −0.936696 + 2.04506i
\(115\) 0.234246 + 0.874220i 0.0218436 + 0.0815214i
\(116\) −0.106885 0.185130i −0.00992399 0.0171889i
\(117\) −0.807256 + 10.7865i −0.0746309 + 0.997211i
\(118\) −0.271106 −0.0249573
\(119\) −12.2279 0.590881i −1.12093 0.0541660i
\(120\) 1.31445 0.124041i 0.119993 0.0113234i
\(121\) 0.366036 0.211331i 0.0332760 0.0192119i
\(122\) −2.47513 0.663210i −0.224088 0.0600442i
\(123\) −7.10184 19.1056i −0.640352 1.72269i
\(124\) 16.2850 + 4.36355i 1.46244 + 0.391859i
\(125\) 4.89387 + 4.89387i 0.437721 + 0.437721i
\(126\) 6.57711 + 15.4832i 0.585935 + 1.37936i
\(127\) −5.30192 + 3.06106i −0.470469 + 0.271625i −0.716436 0.697653i \(-0.754228\pi\)
0.245967 + 0.969278i \(0.420894\pi\)
\(128\) 5.71896 + 5.71896i 0.505489 + 0.505489i
\(129\) 1.48378 + 15.7234i 0.130639 + 1.38437i
\(130\) −5.39553 1.45197i −0.473219 0.127346i
\(131\) 14.9487 + 8.63064i 1.30607 + 0.754062i 0.981439 0.191777i \(-0.0614250\pi\)
0.324636 + 0.945839i \(0.394758\pi\)
\(132\) −9.30003 + 11.2382i −0.809464 + 0.978157i
\(133\) 5.28184 16.4841i 0.457994 1.42935i
\(134\) −8.05159 + 13.9458i −0.695551 + 1.20473i
\(135\) 1.96663 + 3.25079i 0.169260 + 0.279783i
\(136\) 3.41093 + 3.41093i 0.292485 + 0.292485i
\(137\) 13.9211 + 13.9211i 1.18936 + 1.18936i 0.977244 + 0.212120i \(0.0680369\pi\)
0.212120 + 0.977244i \(0.431963\pi\)
\(138\) 4.48008 + 0.758481i 0.381369 + 0.0645662i
\(139\) 1.24639 2.15881i 0.105717 0.183108i −0.808314 0.588752i \(-0.799620\pi\)
0.914031 + 0.405644i \(0.132953\pi\)
\(140\) −4.71120 + 1.02148i −0.398169 + 0.0863308i
\(141\) −1.53506 1.27032i −0.129275 0.106980i
\(142\) 1.27607 + 0.736740i 0.107086 + 0.0618259i
\(143\) 10.5598 6.08153i 0.883056 0.508563i
\(144\) −2.73960 + 7.85901i −0.228300 + 0.654917i
\(145\) 0.0443539 + 0.0443539i 0.00368339 + 0.00368339i
\(146\) 7.29364 4.21099i 0.603626 0.348504i
\(147\) −6.03611 10.5150i −0.497850 0.867263i
\(148\) −9.44422 9.44422i −0.776310 0.776310i
\(149\) 1.63726 + 0.438703i 0.134130 + 0.0359400i 0.325259 0.945625i \(-0.394548\pi\)
−0.191130 + 0.981565i \(0.561215\pi\)
\(150\) 15.3648 5.71135i 1.25453 0.466329i
\(151\) 0.548192 + 0.146888i 0.0446113 + 0.0119536i 0.281056 0.959691i \(-0.409315\pi\)
−0.236444 + 0.971645i \(0.575982\pi\)
\(152\) −5.90675 + 3.41027i −0.479101 + 0.276609i
\(153\) −4.56926 + 13.1077i −0.369403 + 1.05970i
\(154\) 10.2570 15.9361i 0.826529 1.28417i
\(155\) −4.94704 −0.397356
\(156\) −9.93431 + 11.9783i −0.795382 + 0.959032i
\(157\) 2.77084 + 4.79924i 0.221137 + 0.383021i 0.955154 0.296111i \(-0.0956898\pi\)
−0.734016 + 0.679132i \(0.762356\pi\)
\(158\) 8.50213 + 31.7304i 0.676393 + 2.52433i
\(159\) 1.75753 + 0.804996i 0.139381 + 0.0638403i
\(160\) −5.04356 2.91190i −0.398729 0.230206i
\(161\) −3.27107 0.158066i −0.257796 0.0124573i
\(162\) 18.9496 2.18034i 1.48882 0.171303i
\(163\) 3.90119 + 1.04532i 0.305564 + 0.0818757i 0.408343 0.912829i \(-0.366107\pi\)
−0.102779 + 0.994704i \(0.532773\pi\)
\(164\) 7.58976 28.3254i 0.592661 2.21184i
\(165\) 1.78243 3.89152i 0.138762 0.302954i
\(166\) 13.9925i 1.08603i
\(167\) −2.07644 + 7.74939i −0.160680 + 0.599666i 0.837872 + 0.545867i \(0.183800\pi\)
−0.998552 + 0.0537988i \(0.982867\pi\)
\(168\) −1.02389 + 4.66636i −0.0789945 + 0.360018i
\(169\) 11.2723 6.47570i 0.867102 0.498131i
\(170\) −6.20988 3.58528i −0.476276 0.274978i
\(171\) −16.2298 11.0373i −1.24113 0.844045i
\(172\) −11.3608 + 19.6775i −0.866254 + 1.50040i
\(173\) −8.47934 14.6866i −0.644672 1.11660i −0.984377 0.176073i \(-0.943661\pi\)
0.339705 0.940532i \(-0.389673\pi\)
\(174\) 0.295181 0.109723i 0.0223776 0.00831811i
\(175\) −10.5046 + 5.40640i −0.794075 + 0.408686i
\(176\) 9.05684 2.42677i 0.682685 0.182925i
\(177\) 0.0369835 0.218448i 0.00277985 0.0164196i
\(178\) 25.8703 1.93906
\(179\) 11.0600 19.1564i 0.826662 1.43182i −0.0739812 0.997260i \(-0.523570\pi\)
0.900643 0.434560i \(-0.143096\pi\)
\(180\) −0.402063 + 5.45132i −0.0299680 + 0.406317i
\(181\) 10.2313i 0.760484i −0.924887 0.380242i \(-0.875841\pi\)
0.924887 0.380242i \(-0.124159\pi\)
\(182\) 10.9606 16.9890i 0.812452 1.25931i
\(183\) 0.872043 1.90391i 0.0644633 0.140741i
\(184\) 0.912455 + 0.912455i 0.0672671 + 0.0672671i
\(185\) 3.39401 + 1.95953i 0.249533 + 0.144068i
\(186\) −10.3426 + 22.5806i −0.758353 + 1.65569i
\(187\) 15.1055 4.04751i 1.10463 0.295984i
\(188\) −0.741934 2.76893i −0.0541111 0.201945i
\(189\) −13.3731 + 3.18744i −0.972751 + 0.231852i
\(190\) 7.16916 7.16916i 0.520105 0.520105i
\(191\) −18.8520 + 10.8842i −1.36408 + 0.787552i −0.990164 0.139911i \(-0.955318\pi\)
−0.373916 + 0.927463i \(0.621985\pi\)
\(192\) −16.0011 + 11.3675i −1.15478 + 0.820381i
\(193\) 0.977573 + 3.64835i 0.0703673 + 0.262614i 0.992143 0.125109i \(-0.0399282\pi\)
−0.921776 + 0.387724i \(0.873262\pi\)
\(194\) 8.00536 13.8657i 0.574752 0.995499i
\(195\) 1.90599 4.14947i 0.136491 0.297150i
\(196\) 1.68187 17.3619i 0.120134 1.24014i
\(197\) −17.8050 4.77082i −1.26855 0.339907i −0.439075 0.898450i \(-0.644694\pi\)
−0.829475 + 0.558543i \(0.811360\pi\)
\(198\) −14.0363 16.2716i −0.997515 1.15638i
\(199\) 25.8677i 1.83371i 0.399216 + 0.916857i \(0.369282\pi\)
−0.399216 + 0.916857i \(0.630718\pi\)
\(200\) 4.49655 + 1.20485i 0.317954 + 0.0851956i
\(201\) −10.1387 8.39015i −0.715126 0.591795i
\(202\) −6.69741 24.9951i −0.471228 1.75865i
\(203\) −0.201809 + 0.103865i −0.0141642 + 0.00728989i
\(204\) −16.2807 + 11.5662i −1.13987 + 0.809794i
\(205\) 8.60466i 0.600975i
\(206\) −7.79979 + 2.08995i −0.543437 + 0.145613i
\(207\) −1.22232 + 3.50643i −0.0849570 + 0.243714i
\(208\) 9.66474 2.57849i 0.670129 0.178786i
\(209\) 22.1117i 1.52950i
\(210\) −0.325165 7.09412i −0.0224385 0.489541i
\(211\) 7.09306 + 12.2855i 0.488307 + 0.845772i 0.999910 0.0134501i \(-0.00428143\pi\)
−0.511603 + 0.859222i \(0.670948\pi\)
\(212\) 1.39057 + 2.40855i 0.0955050 + 0.165420i
\(213\) −0.767719 + 0.927713i −0.0526033 + 0.0635658i
\(214\) 5.46614 + 5.46614i 0.373658 + 0.373658i
\(215\) 1.72559 6.43999i 0.117684 0.439204i
\(216\) 4.74574 + 2.61194i 0.322906 + 0.177720i
\(217\) 5.46213 17.0468i 0.370794 1.15721i
\(218\) −7.61431 13.1884i −0.515706 0.893230i
\(219\) 2.39810 + 6.45143i 0.162048 + 0.435947i
\(220\) 5.33301 3.07902i 0.359552 0.207587i
\(221\) 16.1194 4.30056i 1.08431 0.289287i
\(222\) 16.0399 11.3951i 1.07653 0.764792i
\(223\) 2.87666 10.7358i 0.192635 0.718924i −0.800231 0.599692i \(-0.795290\pi\)
0.992866 0.119233i \(-0.0380434\pi\)
\(224\) 15.6027 14.1643i 1.04250 0.946390i
\(225\) 2.50599 + 13.1596i 0.167066 + 0.877307i
\(226\) −15.4301 + 4.13448i −1.02639 + 0.275021i
\(227\) −1.40183 + 1.40183i −0.0930428 + 0.0930428i −0.752096 0.659053i \(-0.770957\pi\)
0.659053 + 0.752096i \(0.270957\pi\)
\(228\) −9.83863 26.4681i −0.651579 1.75290i
\(229\) −3.92459 14.6468i −0.259344 0.967885i −0.965622 0.259950i \(-0.916294\pi\)
0.706278 0.707934i \(-0.250373\pi\)
\(230\) −1.66120 0.959094i −0.109536 0.0632408i
\(231\) 11.4416 + 10.4387i 0.752801 + 0.686815i
\(232\) 0.0863854 + 0.0231469i 0.00567148 + 0.00151967i
\(233\) −10.4655 + 18.1268i −0.685619 + 1.18753i 0.287623 + 0.957744i \(0.407135\pi\)
−0.973242 + 0.229783i \(0.926198\pi\)
\(234\) −14.9553 17.3749i −0.977662 1.13583i
\(235\) 0.420572 + 0.728452i 0.0274351 + 0.0475190i
\(236\) 0.225392 0.225392i 0.0146717 0.0146717i
\(237\) −26.7271 + 2.52217i −1.73611 + 0.163833i
\(238\) 19.2108 17.4397i 1.24525 1.13045i
\(239\) 15.0244 15.0244i 0.971849 0.971849i −0.0277652 0.999614i \(-0.508839\pi\)
0.999614 + 0.0277652i \(0.00883906\pi\)
\(240\) 2.24002 2.70684i 0.144593 0.174726i
\(241\) −5.83002 + 5.83002i −0.375545 + 0.375545i −0.869492 0.493947i \(-0.835554\pi\)
0.493947 + 0.869492i \(0.335554\pi\)
\(242\) −0.231849 + 0.865270i −0.0149038 + 0.0556217i
\(243\) −0.828212 + 15.5664i −0.0531298 + 0.998588i
\(244\) 2.60915 1.50639i 0.167034 0.0964370i
\(245\) 0.841856 + 5.04862i 0.0537842 + 0.322544i
\(246\) 39.2757 + 17.9894i 2.50413 + 1.14696i
\(247\) −0.0254408 + 23.5890i −0.00161876 + 1.50093i
\(248\) −6.10837 + 3.52667i −0.387882 + 0.223944i
\(249\) 11.2747 + 1.90881i 0.714504 + 0.120966i
\(250\) −14.6684 −0.927709
\(251\) 9.58699 16.6052i 0.605126 1.04811i −0.386906 0.922119i \(-0.626456\pi\)
0.992032 0.125989i \(-0.0402105\pi\)
\(252\) −18.3405 7.40436i −1.15534 0.466431i
\(253\) 4.04086 1.08275i 0.254047 0.0680717i
\(254\) 3.35825 12.5332i 0.210715 0.786400i
\(255\) 3.73603 4.51463i 0.233960 0.282717i
\(256\) 5.52295 0.345184
\(257\) 6.33686 0.395283 0.197641 0.980274i \(-0.436672\pi\)
0.197641 + 0.980274i \(0.436672\pi\)
\(258\) −25.7875 21.3402i −1.60546 1.32858i
\(259\) −10.4997 + 9.53169i −0.652417 + 0.592271i
\(260\) 5.69286 3.27859i 0.353056 0.203330i
\(261\) 0.0481438 + 0.252815i 0.00298003 + 0.0156489i
\(262\) −35.3371 + 9.46855i −2.18313 + 0.584969i
\(263\) −21.0813 12.1713i −1.29993 0.750514i −0.319537 0.947574i \(-0.603527\pi\)
−0.980392 + 0.197060i \(0.936861\pi\)
\(264\) −0.573351 6.07573i −0.0352873 0.373935i
\(265\) −0.577047 0.577047i −0.0354477 0.0354477i
\(266\) 16.7882 + 32.6195i 1.02935 + 2.00003i
\(267\) −3.52916 + 20.8455i −0.215981 + 1.27572i
\(268\) −4.90029 18.2881i −0.299333 1.11712i
\(269\) 10.9722i 0.668985i −0.942398 0.334493i \(-0.891435\pi\)
0.942398 0.334493i \(-0.108565\pi\)
\(270\) −7.81906 1.92450i −0.475853 0.117121i
\(271\) −5.74281 + 5.74281i −0.348851 + 0.348851i −0.859681 0.510831i \(-0.829338\pi\)
0.510831 + 0.859681i \(0.329338\pi\)
\(272\) 12.8368 0.778347
\(273\) 12.1940 + 11.1493i 0.738015 + 0.674785i
\(274\) −41.7258 −2.52075
\(275\) 10.6715 10.6715i 0.643515 0.643515i
\(276\) −4.35522 + 3.09405i −0.262154 + 0.186240i
\(277\) 0.443387i 0.0266406i −0.999911 0.0133203i \(-0.995760\pi\)
0.999911 0.0133203i \(-0.00424010\pi\)
\(278\) 1.36739 + 5.10318i 0.0820108 + 0.306069i
\(279\) −16.7838 11.4141i −1.00482 0.683343i
\(280\) 1.09152 1.69588i 0.0652305 0.101348i
\(281\) −9.34921 9.34921i −0.557727 0.557727i 0.370933 0.928660i \(-0.379038\pi\)
−0.928660 + 0.370933i \(0.879038\pi\)
\(282\) 4.20427 0.396746i 0.250361 0.0236259i
\(283\) −8.16911 4.71644i −0.485603 0.280363i 0.237145 0.971474i \(-0.423788\pi\)
−0.722749 + 0.691111i \(0.757122\pi\)
\(284\) −1.67341 + 0.448389i −0.0992985 + 0.0266070i
\(285\) 4.79868 + 6.75467i 0.284249 + 0.400112i
\(286\) −6.71136 + 24.9395i −0.396851 + 1.47470i
\(287\) −29.6504 9.50058i −1.75021 0.560802i
\(288\) −10.3928 21.5160i −0.612401 1.26784i
\(289\) 4.41001 0.259412
\(290\) −0.132942 −0.00780661
\(291\) 10.0805 + 8.34198i 0.590927 + 0.489015i
\(292\) −2.56285 + 9.56470i −0.149980 + 0.559732i
\(293\) −3.23244 + 0.866128i −0.188841 + 0.0505998i −0.352000 0.936000i \(-0.614498\pi\)
0.163159 + 0.986600i \(0.447832\pi\)
\(294\) 24.8043 + 6.71229i 1.44662 + 0.391469i
\(295\) −0.0467654 + 0.0810000i −0.00272279 + 0.00471600i
\(296\) 5.58769 0.324778
\(297\) 15.0260 9.09025i 0.871894 0.527470i
\(298\) −3.11114 + 1.79622i −0.180223 + 0.104052i
\(299\) 4.31209 1.15044i 0.249374 0.0665315i
\(300\) −8.02570 + 17.5223i −0.463364 + 1.01165i
\(301\) 20.2860 + 13.0567i 1.16926 + 0.752573i
\(302\) −1.04168 + 0.601414i −0.0599419 + 0.0346075i
\(303\) 21.0539 1.98680i 1.20951 0.114139i
\(304\) −4.69769 + 17.5320i −0.269431 + 1.00553i
\(305\) −0.625108 + 0.625108i −0.0357936 + 0.0357936i
\(306\) −12.7961 26.4915i −0.731505 1.51442i
\(307\) 3.71140 3.71140i 0.211821 0.211821i −0.593220 0.805041i \(-0.702143\pi\)
0.805041 + 0.593220i \(0.202143\pi\)
\(308\) 4.72154 + 21.7764i 0.269035 + 1.24082i
\(309\) −0.619986 6.56992i −0.0352698 0.373750i
\(310\) 7.41387 7.41387i 0.421080 0.421080i
\(311\) −7.27077 12.5933i −0.412288 0.714103i 0.582852 0.812578i \(-0.301937\pi\)
−0.995140 + 0.0984752i \(0.968603\pi\)
\(312\) −0.604667 6.48232i −0.0342325 0.366989i
\(313\) −5.16579 + 8.94742i −0.291988 + 0.505738i −0.974280 0.225342i \(-0.927650\pi\)
0.682292 + 0.731080i \(0.260983\pi\)
\(314\) −11.3449 3.03985i −0.640228 0.171549i
\(315\) 5.76057 + 0.705751i 0.324571 + 0.0397646i
\(316\) −33.4484 19.3115i −1.88162 1.08635i
\(317\) −6.76020 25.2294i −0.379691 1.41703i −0.846368 0.532598i \(-0.821216\pi\)
0.466678 0.884428i \(-0.345451\pi\)
\(318\) −3.84032 + 1.42751i −0.215354 + 0.0800505i
\(319\) 0.205015 0.205015i 0.0114786 0.0114786i
\(320\) 8.00363 2.14457i 0.447417 0.119885i
\(321\) −5.15011 + 3.65876i −0.287451 + 0.204212i
\(322\) 5.13906 4.66529i 0.286389 0.259986i
\(323\) −7.83508 + 29.2409i −0.435955 + 1.62701i
\(324\) −13.9416 + 17.5670i −0.774536 + 0.975945i
\(325\) 11.3968 11.3722i 0.632178 0.630816i
\(326\) −7.41307 + 4.27994i −0.410572 + 0.237044i
\(327\) 11.6655 4.33624i 0.645103 0.239795i
\(328\) 6.13413 + 10.6246i 0.338701 + 0.586647i
\(329\) −2.97450 + 0.644929i −0.163990 + 0.0355561i
\(330\) 3.16079 + 8.50324i 0.173996 + 0.468088i
\(331\) 1.17988 4.40338i 0.0648523 0.242032i −0.925889 0.377796i \(-0.876682\pi\)
0.990741 + 0.135764i \(0.0433488\pi\)
\(332\) 11.6331 + 11.6331i 0.638447 + 0.638447i
\(333\) 6.99372 + 14.4789i 0.383253 + 0.793441i
\(334\) −8.50175 14.7255i −0.465195 0.805741i
\(335\) 2.77777 + 4.81125i 0.151766 + 0.262867i
\(336\) 6.85412 + 10.7075i 0.373923 + 0.584139i
\(337\) 23.2811i 1.26820i 0.773250 + 0.634102i \(0.218630\pi\)
−0.773250 + 0.634102i \(0.781370\pi\)
\(338\) −7.18845 + 26.5980i −0.391000 + 1.44674i
\(339\) −1.22650 12.9971i −0.0666143 0.705904i
\(340\) 8.14349 2.18204i 0.441643 0.118338i
\(341\) 22.8665i 1.23829i
\(342\) 40.8638 7.78173i 2.20966 0.420788i
\(343\) −18.3263 2.67337i −0.989527 0.144349i
\(344\) −2.46029 9.18194i −0.132650 0.495057i
\(345\) 0.999423 1.20770i 0.0538071 0.0650206i
\(346\) 34.7176 + 9.30256i 1.86643 + 0.500109i
\(347\) 20.6263i 1.10728i −0.832757 0.553639i \(-0.813239\pi\)
0.832757 0.553639i \(-0.186761\pi\)
\(348\) −0.154185 + 0.336629i −0.00826521 + 0.0180452i
\(349\) 17.9128 + 4.79971i 0.958849 + 0.256923i 0.704113 0.710088i \(-0.251345\pi\)
0.254736 + 0.967011i \(0.418011\pi\)
\(350\) 7.64043 23.8450i 0.408398 1.27457i
\(351\) 16.0403 9.68029i 0.856169 0.516696i
\(352\) −13.4595 + 23.3126i −0.717396 + 1.24257i
\(353\) 6.48087 + 24.1869i 0.344942 + 1.28734i 0.892680 + 0.450691i \(0.148822\pi\)
−0.547738 + 0.836650i \(0.684511\pi\)
\(354\) 0.271952 + 0.382802i 0.0144541 + 0.0203457i
\(355\) 0.440241 0.254173i 0.0233656 0.0134901i
\(356\) −21.5081 + 21.5081i −1.13992 + 1.13992i
\(357\) 11.4317 + 17.8585i 0.605030 + 0.945173i
\(358\) 12.1337 + 45.2838i 0.641288 + 2.39332i
\(359\) 5.13386 1.37561i 0.270955 0.0726021i −0.120783 0.992679i \(-0.538541\pi\)
0.391738 + 0.920077i \(0.371874\pi\)
\(360\) −1.49370 1.73158i −0.0787249 0.0912624i
\(361\) −20.6143 11.9017i −1.08496 0.626403i
\(362\) 15.3331 + 15.3331i 0.805887 + 0.805887i
\(363\) −0.665579 0.304854i −0.0349338 0.0160007i
\(364\) 5.01194 + 23.2367i 0.262697 + 1.21793i
\(365\) 2.90556i 0.152084i
\(366\) 1.54640 + 4.16017i 0.0808317 + 0.217456i
\(367\) 3.04387 5.27213i 0.158889 0.275203i −0.775580 0.631250i \(-0.782542\pi\)
0.934468 + 0.356047i \(0.115876\pi\)
\(368\) 3.43397 0.179008
\(369\) −19.8531 + 29.1930i −1.03351 + 1.51973i
\(370\) −8.02308 + 2.14978i −0.417100 + 0.111762i
\(371\) 2.62555 1.35129i 0.136312 0.0701553i
\(372\) −10.1745 27.3716i −0.527521 1.41915i
\(373\) −4.52998 7.84616i −0.234553 0.406259i 0.724589 0.689181i \(-0.242029\pi\)
−0.959143 + 0.282922i \(0.908696\pi\)
\(374\) −16.5721 + 28.7037i −0.856921 + 1.48423i
\(375\) 2.00102 11.8193i 0.103332 0.610345i
\(376\) 1.03861 + 0.599639i 0.0535620 + 0.0309240i
\(377\) 0.218948 0.218477i 0.0112764 0.0112521i
\(378\) 15.2647 24.8184i 0.785133 1.27652i
\(379\) 8.65669 32.3072i 0.444664 1.65951i −0.272158 0.962253i \(-0.587737\pi\)
0.716822 0.697256i \(-0.245596\pi\)
\(380\) 11.9206i 0.611512i
\(381\) 9.64068 + 4.41570i 0.493907 + 0.226223i
\(382\) 11.9409 44.5640i 0.610949 2.28009i
\(383\) −32.7748 8.78199i −1.67471 0.448738i −0.708339 0.705872i \(-0.750555\pi\)
−0.966376 + 0.257134i \(0.917222\pi\)
\(384\) 2.33838 13.8120i 0.119330 0.704840i
\(385\) −2.99203 5.81349i −0.152488 0.296283i
\(386\) −6.93263 4.00256i −0.352862 0.203725i
\(387\) 20.7131 17.8676i 1.05291 0.908260i
\(388\) 4.87216 + 18.1831i 0.247346 + 0.923109i
\(389\) −10.6989 18.5310i −0.542455 0.939559i −0.998762 0.0497371i \(-0.984162\pi\)
0.456308 0.889822i \(-0.349172\pi\)
\(390\) 3.36218 + 9.07500i 0.170251 + 0.459530i
\(391\) 5.72737 0.289646
\(392\) 4.63857 + 5.63365i 0.234283 + 0.284542i
\(393\) −2.80886 29.7652i −0.141688 1.50145i
\(394\) 33.8331 19.5336i 1.70449 0.984087i
\(395\) 10.9469 + 2.93321i 0.550798 + 0.147586i
\(396\) 25.1974 + 1.85844i 1.26622 + 0.0933899i
\(397\) 16.7692 + 4.49328i 0.841620 + 0.225511i 0.653777 0.756688i \(-0.273184\pi\)
0.187843 + 0.982199i \(0.439850\pi\)
\(398\) −38.7666 38.7666i −1.94319 1.94319i
\(399\) −28.5739 + 9.07755i −1.43048 + 0.454446i
\(400\) 10.7284 6.19407i 0.536422 0.309703i
\(401\) −11.4524 11.4524i −0.571905 0.571905i 0.360755 0.932660i \(-0.382519\pi\)
−0.932660 + 0.360755i \(0.882519\pi\)
\(402\) 27.7681 2.62041i 1.38495 0.130694i
\(403\) −0.0263092 + 24.3942i −0.00131055 + 1.21516i
\(404\) 26.3484 + 15.2123i 1.31088 + 0.756839i
\(405\) 2.61735 6.03781i 0.130057 0.300021i
\(406\) 0.146784 0.458098i 0.00728476 0.0227350i
\(407\) 9.05746 15.6880i 0.448962 0.777624i
\(408\) 1.39467 8.23781i 0.0690464 0.407833i
\(409\) −20.9626 20.9626i −1.03653 1.03653i −0.999307 0.0372265i \(-0.988148\pi\)
−0.0372265 0.999307i \(-0.511852\pi\)
\(410\) −12.8953 12.8953i −0.636856 0.636856i
\(411\) 5.69211 33.6213i 0.280771 1.65841i
\(412\) 4.74704 8.22211i 0.233870 0.405075i
\(413\) −0.227479 0.250580i −0.0111935 0.0123303i
\(414\) −3.42308 7.08672i −0.168235 0.348294i
\(415\) −4.18062 2.41368i −0.205219 0.118483i
\(416\) −14.3856 + 24.8547i −0.705313 + 1.21860i
\(417\) −4.29852 + 0.405640i −0.210499 + 0.0198643i
\(418\) −33.1377 33.1377i −1.62082 1.62082i
\(419\) 6.66420 3.84758i 0.325567 0.187966i −0.328304 0.944572i \(-0.606477\pi\)
0.653871 + 0.756606i \(0.273144\pi\)
\(420\) 6.16823 + 5.62756i 0.300979 + 0.274597i
\(421\) −18.0124 18.0124i −0.877871 0.877871i 0.115443 0.993314i \(-0.463171\pi\)
−0.993314 + 0.115443i \(0.963171\pi\)
\(422\) −29.0417 7.78170i −1.41373 0.378807i
\(423\) −0.253849 + 3.44179i −0.0123426 + 0.167345i
\(424\) −1.12388 0.301142i −0.0545803 0.0146248i
\(425\) 17.8935 10.3308i 0.867963 0.501119i
\(426\) −0.239774 2.54085i −0.0116171 0.123105i
\(427\) −1.46383 2.84422i −0.0708399 0.137642i
\(428\) −9.08887 −0.439327
\(429\) −19.1799 8.80997i −0.926014 0.425349i
\(430\) 7.06522 + 12.2373i 0.340715 + 0.590136i
\(431\) 6.35822 + 23.7292i 0.306265 + 1.14299i 0.931851 + 0.362840i \(0.118193\pi\)
−0.625587 + 0.780155i \(0.715140\pi\)
\(432\) 13.8451 4.01521i 0.666122 0.193182i
\(433\) 29.7044 + 17.1498i 1.42750 + 0.824168i 0.996923 0.0783862i \(-0.0249767\pi\)
0.430577 + 0.902554i \(0.358310\pi\)
\(434\) 17.3613 + 33.7329i 0.833368 + 1.61923i
\(435\) 0.0181355 0.107120i 0.000869533 0.00513602i
\(436\) 17.2949 + 4.63416i 0.828276 + 0.221936i
\(437\) −2.09595 + 7.82221i −0.100263 + 0.374187i
\(438\) −13.2623 6.07452i −0.633698 0.290252i
\(439\) 17.0630i 0.814370i 0.913346 + 0.407185i \(0.133490\pi\)
−0.913346 + 0.407185i \(0.866510\pi\)
\(440\) −0.666790 + 2.48850i −0.0317880 + 0.118634i
\(441\) −8.79227 + 19.0708i −0.418680 + 0.908134i
\(442\) −17.7123 + 30.6023i −0.842488 + 1.45560i
\(443\) 14.6489 + 8.45757i 0.695992 + 0.401831i 0.805853 0.592116i \(-0.201707\pi\)
−0.109861 + 0.993947i \(0.535041\pi\)
\(444\) −3.86157 + 22.8089i −0.183262 + 1.08246i
\(445\) 4.46260 7.72945i 0.211547 0.366411i
\(446\) 11.7781 + 20.4003i 0.557710 + 0.965983i
\(447\) −1.02292 2.75189i −0.0483825 0.130160i
\(448\) −1.44712 + 29.9472i −0.0683701 + 1.41487i
\(449\) 5.19161 1.39109i 0.245007 0.0656495i −0.134226 0.990951i \(-0.542855\pi\)
0.379233 + 0.925301i \(0.376188\pi\)
\(450\) −23.4772 15.9660i −1.10673 0.752645i
\(451\) 39.7729 1.87283
\(452\) 9.39092 16.2656i 0.441712 0.765067i
\(453\) −0.342497 0.921395i −0.0160919 0.0432909i
\(454\) 4.20170i 0.197196i
\(455\) −3.18524 6.20535i −0.149326 0.290911i
\(456\) 10.7405 + 4.91944i 0.502969 + 0.230374i
\(457\) 16.7676 + 16.7676i 0.784354 + 0.784354i 0.980562 0.196208i \(-0.0628628\pi\)
−0.196208 + 0.980562i \(0.562863\pi\)
\(458\) 27.8319 + 16.0687i 1.30050 + 0.750843i
\(459\) 23.0916 6.69679i 1.07782 0.312580i
\(460\) 2.17846 0.583716i 0.101571 0.0272159i
\(461\) 8.82574 + 32.9381i 0.411056 + 1.53408i 0.792607 + 0.609733i \(0.208723\pi\)
−0.381551 + 0.924348i \(0.624610\pi\)
\(462\) −32.7908 + 1.50300i −1.52557 + 0.0699257i
\(463\) −17.8769 + 17.8769i −0.830809 + 0.830809i −0.987627 0.156819i \(-0.949876\pi\)
0.156819 + 0.987627i \(0.449876\pi\)
\(464\) 0.206109 0.118997i 0.00956838 0.00552430i
\(465\) 4.96248 + 6.98523i 0.230129 + 0.323932i
\(466\) −11.4816 42.8498i −0.531874 1.98498i
\(467\) 2.68938 4.65814i 0.124450 0.215553i −0.797068 0.603889i \(-0.793617\pi\)
0.921518 + 0.388336i \(0.126950\pi\)
\(468\) 26.8787 + 2.01159i 1.24247 + 0.0929858i
\(469\) −19.6458 + 4.25960i −0.907160 + 0.196690i
\(470\) −1.72198 0.461404i −0.0794291 0.0212830i
\(471\) 3.99705 8.72664i 0.184174 0.402103i
\(472\) 0.133353i 0.00613809i
\(473\) −29.7673 7.97611i −1.36870 0.366742i
\(474\) 36.2747 43.8344i 1.66615 2.01338i
\(475\) 7.56122 + 28.2188i 0.346932 + 1.29477i
\(476\) −1.47241 + 30.4705i −0.0674877 + 1.39661i
\(477\) −0.626353 3.28914i −0.0286787 0.150599i
\(478\) 45.0326i 2.05974i
\(479\) −39.8136 + 10.6680i −1.81913 + 0.487435i −0.996681 0.0814037i \(-0.974060\pi\)
−0.822449 + 0.568838i \(0.807393\pi\)
\(480\) 0.947685 + 10.0425i 0.0432557 + 0.458376i
\(481\) 9.68065 16.7257i 0.441400 0.762626i
\(482\) 17.4743i 0.795932i
\(483\) 3.05808 + 4.77731i 0.139148 + 0.217375i
\(484\) −0.526614 0.912121i −0.0239370 0.0414601i
\(485\) −2.76183 4.78363i −0.125408 0.217213i
\(486\) −22.0874 24.5698i −1.00190 1.11451i
\(487\) −21.7024 21.7024i −0.983428 0.983428i 0.0164372 0.999865i \(-0.494768\pi\)
−0.999865 + 0.0164372i \(0.994768\pi\)
\(488\) −0.326224 + 1.21748i −0.0147675 + 0.0551129i
\(489\) −2.43736 6.55706i −0.110221 0.296521i
\(490\) −8.82774 6.30445i −0.398797 0.284806i
\(491\) 6.96387 + 12.0618i 0.314275 + 0.544340i 0.979283 0.202496i \(-0.0649053\pi\)
−0.665008 + 0.746836i \(0.731572\pi\)
\(492\) −47.6089 + 17.6970i −2.14638 + 0.797842i
\(493\) 0.343761 0.198470i 0.0154822 0.00893866i
\(494\) −35.3135 35.3898i −1.58883 1.59226i
\(495\) −7.28282 + 1.38687i −0.327339 + 0.0623353i
\(496\) −4.85804 + 18.1305i −0.218132 + 0.814082i
\(497\) 0.389764 + 1.79764i 0.0174833 + 0.0806353i
\(498\) −19.7574 + 14.0361i −0.885351 + 0.628974i
\(499\) 0.520510 0.139470i 0.0233012 0.00624355i −0.247150 0.968977i \(-0.579494\pi\)
0.270451 + 0.962734i \(0.412827\pi\)
\(500\) 12.1950 12.1950i 0.545375 0.545375i
\(501\) 13.0251 4.84163i 0.581917 0.216308i
\(502\) 10.5178 + 39.2528i 0.469430 + 1.75194i
\(503\) 5.22046 + 3.01403i 0.232769 + 0.134389i 0.611849 0.790975i \(-0.290426\pi\)
−0.379080 + 0.925364i \(0.623759\pi\)
\(504\) 7.61600 3.23519i 0.339243 0.144107i
\(505\) −8.62323 2.31059i −0.383729 0.102820i
\(506\) −4.43318 + 7.67849i −0.197079 + 0.341350i
\(507\) −20.4512 9.42064i −0.908270 0.418385i
\(508\) 7.62782 + 13.2118i 0.338430 + 0.586178i
\(509\) 5.82687 5.82687i 0.258272 0.258272i −0.566079 0.824351i \(-0.691540\pi\)
0.824351 + 0.566079i \(0.191540\pi\)
\(510\) 1.16684 + 12.3648i 0.0516684 + 0.547524i
\(511\) 10.0121 + 3.20809i 0.442910 + 0.141917i
\(512\) −19.7149 + 19.7149i −0.871282 + 0.871282i
\(513\) 0.695734 + 33.9883i 0.0307174 + 1.50062i
\(514\) −9.49672 + 9.49672i −0.418882 + 0.418882i
\(515\) −0.721026 + 2.69091i −0.0317722 + 0.118575i
\(516\) 39.1810 3.69741i 1.72485 0.162769i
\(517\) 3.36709 1.94399i 0.148084 0.0854966i
\(518\) 1.45064 30.0199i 0.0637373 1.31900i
\(519\) −12.2318 + 26.7053i −0.536915 + 1.17223i
\(520\) −0.714203 + 2.65399i −0.0313199 + 0.116385i
\(521\) 1.69103 0.976318i 0.0740855 0.0427733i −0.462500 0.886619i \(-0.653047\pi\)
0.536585 + 0.843846i \(0.319714\pi\)
\(522\) −0.451031 0.306730i −0.0197411 0.0134252i
\(523\) −20.1558 −0.881350 −0.440675 0.897667i \(-0.645261\pi\)
−0.440675 + 0.897667i \(0.645261\pi\)
\(524\) 21.5066 37.2505i 0.939519 1.62729i
\(525\) 18.1712 + 9.40928i 0.793058 + 0.410654i
\(526\) 49.8339 13.3530i 2.17286 0.582217i
\(527\) −8.10252 + 30.2390i −0.352951 + 1.31723i
\(528\) −12.5117 10.3539i −0.544502 0.450597i
\(529\) −21.4679 −0.933386
\(530\) 1.72958 0.0751281
\(531\) −0.345548 + 0.166909i −0.0149955 + 0.00724324i
\(532\) −41.0765 13.1617i −1.78089 0.570634i
\(533\) 42.4302 + 0.0457610i 1.83786 + 0.00198213i
\(534\) −25.9511 36.5290i −1.12301 1.58076i
\(535\) 2.57606 0.690252i 0.111373 0.0298422i
\(536\) 6.85973 + 3.96047i 0.296295 + 0.171066i
\(537\) −38.1434 + 3.59950i −1.64601 + 0.155330i
\(538\) 16.4434 + 16.4434i 0.708926 + 0.708926i
\(539\) 23.3360 3.89127i 1.00515 0.167609i
\(540\) 8.10059 4.90061i 0.348594 0.210889i
\(541\) −9.27497 34.6146i −0.398762 1.48820i −0.815277 0.579071i \(-0.803415\pi\)
0.416515 0.909129i \(-0.363251\pi\)
\(542\) 17.2129i 0.739357i
\(543\) −14.4466 + 10.2632i −0.619962 + 0.440435i
\(544\) −26.0597 + 26.0597i −1.11730 + 1.11730i
\(545\) −5.25383 −0.225050
\(546\) −34.9833 + 1.56569i −1.49715 + 0.0670052i
\(547\) −32.5673 −1.39248 −0.696238 0.717811i \(-0.745144\pi\)
−0.696238 + 0.717811i \(0.745144\pi\)
\(548\) 34.6899 34.6899i 1.48188 1.48188i
\(549\) −3.56309 + 0.678521i −0.152069 + 0.0289586i
\(550\) 31.9856i 1.36387i
\(551\) 0.145262 + 0.542125i 0.00618837 + 0.0230953i
\(552\) 0.373087 2.20369i 0.0158796 0.0937953i
\(553\) −22.1941 + 34.4827i −0.943789 + 1.46635i
\(554\) 0.664481 + 0.664481i 0.0282311 + 0.0282311i
\(555\) −0.637735 6.75800i −0.0270703 0.286861i
\(556\) −5.37950 3.10586i −0.228142 0.131718i
\(557\) 23.3051 6.24457i 0.987467 0.264591i 0.271281 0.962500i \(-0.412553\pi\)
0.716186 + 0.697909i \(0.245886\pi\)
\(558\) 42.2587 8.04735i 1.78895 0.340672i
\(559\) −31.7469 8.54326i −1.34275 0.361341i
\(560\) −1.13724 5.24509i −0.0480570 0.221645i
\(561\) −20.8678 17.2689i −0.881037 0.729093i
\(562\) 28.0223 1.18205
\(563\) 21.6650 0.913072 0.456536 0.889705i \(-0.349090\pi\)
0.456536 + 0.889705i \(0.349090\pi\)
\(564\) −3.16549 + 3.82518i −0.133291 + 0.161069i
\(565\) −1.42638 + 5.32334i −0.0600084 + 0.223954i
\(566\) 19.3109 5.17434i 0.811697 0.217494i
\(567\) 17.9155 + 15.6855i 0.752381 + 0.658728i
\(568\) 0.362393 0.627683i 0.0152057 0.0263370i
\(569\) 8.89470 0.372885 0.186443 0.982466i \(-0.440304\pi\)
0.186443 + 0.982466i \(0.440304\pi\)
\(570\) −17.3144 2.93134i −0.725220 0.122780i
\(571\) −2.58932 + 1.49495i −0.108360 + 0.0625616i −0.553200 0.833048i \(-0.686594\pi\)
0.444841 + 0.895610i \(0.353260\pi\)
\(572\) −15.1545 26.3138i −0.633641 1.10024i
\(573\) 34.2793 + 15.7009i 1.43204 + 0.655913i
\(574\) 58.6735 30.1974i 2.44898 1.26042i
\(575\) 4.78668 2.76359i 0.199618 0.115250i
\(576\) 32.1020 + 11.1905i 1.33758 + 0.466272i
\(577\) 7.00616 26.1473i 0.291670 1.08853i −0.652156 0.758085i \(-0.726135\pi\)
0.943826 0.330443i \(-0.107198\pi\)
\(578\) −6.60905 + 6.60905i −0.274900 + 0.274900i
\(579\) 4.17086 5.04007i 0.173335 0.209458i
\(580\) 0.110525 0.110525i 0.00458930 0.00458930i
\(581\) 12.9331 11.7408i 0.536556 0.487091i
\(582\) −27.6087 + 2.60536i −1.14442 + 0.107996i
\(583\) −2.66726 + 2.66726i −0.110466 + 0.110466i
\(584\) −2.07133 3.58765i −0.0857122 0.148458i
\(585\) −7.77100 + 1.47115i −0.321291 + 0.0608247i
\(586\) 3.54626 6.14230i 0.146495 0.253736i
\(587\) −11.3759 3.04816i −0.469534 0.125811i 0.0162914 0.999867i \(-0.494814\pi\)
−0.485825 + 0.874056i \(0.661481\pi\)
\(588\) −26.2022 + 15.0413i −1.08056 + 0.620293i
\(589\) −38.3341 22.1322i −1.57953 0.911941i
\(590\) −0.0513057 0.191475i −0.00211222 0.00788291i
\(591\) 11.1241 + 29.9263i 0.457584 + 1.23101i
\(592\) 10.5145 10.5145i 0.432142 0.432142i
\(593\) −30.4230 + 8.15183i −1.24932 + 0.334756i −0.822076 0.569378i \(-0.807184\pi\)
−0.427249 + 0.904134i \(0.640517\pi\)
\(594\) −8.89553 + 36.1417i −0.364988 + 1.48291i
\(595\) −1.89675 8.74806i −0.0777591 0.358636i
\(596\) 1.09320 4.07987i 0.0447792 0.167118i
\(597\) 36.5253 25.9484i 1.49488 1.06200i
\(598\) −4.73820 + 8.18640i −0.193759 + 0.334767i
\(599\) 38.0326 21.9581i 1.55397 0.897185i 0.556157 0.831077i \(-0.312275\pi\)
0.997813 0.0661072i \(-0.0210579\pi\)
\(600\) −2.80934 7.55775i −0.114691 0.308544i
\(601\) −3.50137 6.06455i −0.142824 0.247378i 0.785735 0.618563i \(-0.212285\pi\)
−0.928559 + 0.371185i \(0.878952\pi\)
\(602\) −49.9688 + 10.8342i −2.03658 + 0.441570i
\(603\) −1.67661 + 22.7321i −0.0682769 + 0.925724i
\(604\) 0.366028 1.36603i 0.0148935 0.0555831i
\(605\) 0.218529 + 0.218529i 0.00888446 + 0.00888446i
\(606\) −28.5748 + 34.5298i −1.16077 + 1.40268i
\(607\) −4.12251 7.14039i −0.167327 0.289819i 0.770152 0.637860i \(-0.220180\pi\)
−0.937479 + 0.348041i \(0.886847\pi\)
\(608\) −26.0547 45.1280i −1.05666 1.83018i
\(609\) 0.349096 + 0.180766i 0.0141461 + 0.00732501i
\(610\) 1.87363i 0.0758612i
\(611\) 3.59429 2.07000i 0.145409 0.0837432i
\(612\) 32.6629 + 11.3861i 1.32032 + 0.460255i
\(613\) −41.7472 + 11.1861i −1.68615 + 0.451803i −0.969392 0.245516i \(-0.921042\pi\)
−0.716760 + 0.697320i \(0.754376\pi\)
\(614\) 11.1242i 0.448935i
\(615\) 12.1498 8.63150i 0.489927 0.348056i
\(616\) −7.83877 5.04526i −0.315833 0.203279i
\(617\) −11.1128 41.4737i −0.447386 1.66967i −0.709559 0.704646i \(-0.751106\pi\)
0.262173 0.965021i \(-0.415561\pi\)
\(618\) 10.7751 + 8.91685i 0.433439 + 0.358688i
\(619\) −17.5737 4.70885i −0.706345 0.189265i −0.112274 0.993677i \(-0.535814\pi\)
−0.594071 + 0.804413i \(0.702480\pi\)
\(620\) 12.3275i 0.495083i
\(621\) 6.17722 1.79145i 0.247883 0.0718885i
\(622\) 29.7693 + 7.97666i 1.19364 + 0.319835i
\(623\) 21.7073 + 23.9117i 0.869683 + 0.958002i
\(624\) −13.3357 11.0601i −0.533856 0.442758i
\(625\) 8.63313 14.9530i 0.345325 0.598121i
\(626\) −5.66732 21.1507i −0.226512 0.845353i
\(627\) 31.2218 22.1807i 1.24688 0.885812i
\(628\) 11.9592 6.90462i 0.477222 0.275524i
\(629\) 17.5366 17.5366i 0.699231 0.699231i
\(630\) −9.69073 + 7.57538i −0.386088 + 0.301811i
\(631\) −5.81585 21.7050i −0.231525 0.864064i −0.979684 0.200545i \(-0.935729\pi\)
0.748159 0.663519i \(-0.230938\pi\)
\(632\) 15.6077 4.18208i 0.620843 0.166354i
\(633\) 10.2320 22.3393i 0.406687 0.887907i
\(634\) 47.9412 + 27.6788i 1.90399 + 1.09927i
\(635\) −3.16532 3.16532i −0.125612 0.125612i
\(636\) 2.00596 4.37955i 0.0795414 0.173661i
\(637\) 24.8996 4.12440i 0.986557 0.163415i
\(638\) 0.614491i 0.0243279i
\(639\) 2.08005 + 0.153414i 0.0822854 + 0.00606897i
\(640\) −2.95687 + 5.12145i −0.116880 + 0.202443i
\(641\) −17.8697 −0.705813 −0.352906 0.935659i \(-0.614807\pi\)
−0.352906 + 0.935659i \(0.614807\pi\)
\(642\) 2.23501 13.2014i 0.0882088 0.521018i
\(643\) 13.6671 3.66210i 0.538979 0.144419i 0.0209476 0.999781i \(-0.493332\pi\)
0.518031 + 0.855362i \(0.326665\pi\)
\(644\) −0.393883 + 8.15113i −0.0155211 + 0.321199i
\(645\) −10.8243 + 4.02355i −0.426205 + 0.158427i
\(646\) −32.0798 55.5638i −1.26216 2.18613i
\(647\) −7.12070 + 12.3334i −0.279943 + 0.484876i −0.971370 0.237570i \(-0.923649\pi\)
0.691427 + 0.722446i \(0.256982\pi\)
\(648\) −1.07248 9.32108i −0.0421309 0.366166i
\(649\) 0.374403 + 0.216161i 0.0146966 + 0.00848508i
\(650\) −0.0368013 + 34.1226i −0.00144347 + 1.33840i
\(651\) −29.5492 + 9.38741i −1.15813 + 0.367921i
\(652\) 2.60482 9.72131i 0.102013 0.380716i
\(653\) 22.1580i 0.867110i 0.901127 + 0.433555i \(0.142741\pi\)
−0.901127 + 0.433555i \(0.857259\pi\)
\(654\) −10.9839 + 23.9810i −0.429506 + 0.937729i
\(655\) −3.26662 + 12.1912i −0.127638 + 0.476350i
\(656\) 31.5353 + 8.44985i 1.23125 + 0.329911i
\(657\) 6.70385 9.85768i 0.261542 0.384585i
\(658\) 3.49121 5.42425i 0.136101 0.211459i
\(659\) 5.24635 + 3.02898i 0.204369 + 0.117992i 0.598692 0.800980i \(-0.295687\pi\)
−0.394323 + 0.918972i \(0.629021\pi\)
\(660\) −9.69723 4.44160i −0.377464 0.172889i
\(661\) −4.00469 14.9457i −0.155764 0.581320i −0.999039 0.0438368i \(-0.986042\pi\)
0.843274 0.537483i \(-0.180625\pi\)
\(662\) 4.83089 + 8.36735i 0.187758 + 0.325206i
\(663\) −22.2421 18.4467i −0.863811 0.716409i
\(664\) −6.88272 −0.267101
\(665\) 12.6419 + 0.610886i 0.490231 + 0.0236892i
\(666\) −32.1799 11.2177i −1.24695 0.434678i
\(667\) 0.0919591 0.0530926i 0.00356067 0.00205575i
\(668\) 19.3106 + 5.17426i 0.747150 + 0.200198i
\(669\) −18.0446 + 6.70748i −0.697646 + 0.259326i
\(670\) −11.3733 3.04746i −0.439388 0.117734i
\(671\) 2.88941 + 2.88941i 0.111544 + 0.111544i
\(672\) −35.6513 7.82256i −1.37528 0.301762i
\(673\) 28.9412 16.7092i 1.11560 0.644092i 0.175327 0.984510i \(-0.443902\pi\)
0.940274 + 0.340418i \(0.110569\pi\)
\(674\) −34.8902 34.8902i −1.34392 1.34392i
\(675\) 16.0676 16.7391i 0.618441 0.644289i
\(676\) −16.1367 28.0894i −0.620643 1.08036i
\(677\) −8.18026 4.72287i −0.314393 0.181515i 0.334498 0.942397i \(-0.391433\pi\)
−0.648891 + 0.760882i \(0.724767\pi\)
\(678\) 21.3161 + 17.6399i 0.818640 + 0.677458i
\(679\) 19.5330 4.23514i 0.749610 0.162530i
\(680\) −1.76355 + 3.05456i −0.0676291 + 0.117137i
\(681\) 3.38559 + 0.573184i 0.129736 + 0.0219645i
\(682\) −34.2688 34.2688i −1.31222 1.31222i
\(683\) −11.3328 11.3328i −0.433636 0.433636i 0.456227 0.889863i \(-0.349200\pi\)
−0.889863 + 0.456227i \(0.849200\pi\)
\(684\) −27.5038 + 40.4429i −1.05163 + 1.54637i
\(685\) −7.19764 + 12.4667i −0.275008 + 0.476327i
\(686\) 31.4711 23.4582i 1.20157 0.895638i
\(687\) −16.7444 + 20.2340i −0.638839 + 0.771974i
\(688\) −21.9074 12.6483i −0.835213 0.482210i
\(689\) −2.84853 + 2.84239i −0.108520 + 0.108286i
\(690\) 0.312140 + 3.30770i 0.0118829 + 0.125922i
\(691\) −5.69907 5.69907i −0.216803 0.216803i 0.590347 0.807150i \(-0.298991\pi\)
−0.807150 + 0.590347i \(0.798991\pi\)
\(692\) −36.5974 + 21.1295i −1.39123 + 0.803225i
\(693\) 3.26216 26.6268i 0.123919 1.01147i
\(694\) 30.9116 + 30.9116i 1.17339 + 1.17339i
\(695\) 1.76058 + 0.471747i 0.0667828 + 0.0178944i
\(696\) −0.0539715 0.145196i −0.00204578 0.00550362i
\(697\) 52.5964 + 14.0932i 1.99223 + 0.533816i
\(698\) −34.0380 + 19.6519i −1.28836 + 0.743834i
\(699\) 36.0933 3.40603i 1.36517 0.128828i
\(700\) 13.4721 + 26.1763i 0.509199 + 0.989372i
\(701\) −26.0188 −0.982718 −0.491359 0.870957i \(-0.663500\pi\)
−0.491359 + 0.870957i \(0.663500\pi\)
\(702\) −9.53144 + 38.5461i −0.359741 + 1.45483i
\(703\) 17.5332 + 30.3684i 0.661277 + 1.14537i
\(704\) −9.91273 36.9948i −0.373600 1.39429i
\(705\) 0.606692 1.32457i 0.0228493 0.0498863i
\(706\) −45.9602 26.5351i −1.72974 0.998663i
\(707\) 17.4830 27.1632i 0.657517 1.02158i
\(708\) −0.544348 0.0921587i −0.0204579 0.00346354i
\(709\) −21.5867 5.78414i −0.810705 0.217228i −0.170427 0.985370i \(-0.554515\pi\)
−0.640279 + 0.768143i \(0.721181\pi\)
\(710\) −0.278850 + 1.04068i −0.0104651 + 0.0390561i
\(711\) 30.3718 + 35.2087i 1.13903 + 1.32043i
\(712\) 12.7253i 0.476900i
\(713\) −2.16750 + 8.08921i −0.0811734 + 0.302943i
\(714\) −43.8957 9.63152i −1.64275 0.360451i
\(715\) 6.29363 + 6.30722i 0.235369 + 0.235877i
\(716\) −47.7357 27.5602i −1.78397 1.02997i
\(717\) −36.2858 6.14322i −1.35512 0.229423i
\(718\) −5.63229 + 9.75540i −0.210195 + 0.364068i
\(719\) 17.7947 + 30.8213i 0.663631 + 1.14944i 0.979655 + 0.200691i \(0.0643187\pi\)
−0.316024 + 0.948751i \(0.602348\pi\)
\(720\) −6.06908 0.447625i −0.226181 0.0166820i
\(721\) −8.47636 5.45563i −0.315676 0.203178i
\(722\) 48.7299 13.0571i 1.81354 0.485936i
\(723\) 14.0802 + 2.38379i 0.523649 + 0.0886542i
\(724\) −25.4951 −0.947520
\(725\) 0.191533 0.331745i 0.00711336 0.0123207i
\(726\) 1.45434 0.540599i 0.0539755 0.0200635i
\(727\) 21.5268i 0.798387i −0.916867 0.399193i \(-0.869290\pi\)
0.916867 0.399193i \(-0.130710\pi\)
\(728\) −8.35668 5.39136i −0.309719 0.199817i
\(729\) 22.8106 14.4456i 0.844839 0.535021i
\(730\) 4.35441 + 4.35441i 0.161164 + 0.161164i
\(731\) −36.5385 21.0955i −1.35142 0.780245i
\(732\) −4.74432 2.17303i −0.175355 0.0803176i
\(733\) 13.4259 3.59745i 0.495895 0.132875i −0.00219907 0.999998i \(-0.500700\pi\)
0.498094 + 0.867123i \(0.334033\pi\)
\(734\) 3.33938 + 12.4627i 0.123259 + 0.460008i
\(735\) 6.28418 6.25307i 0.231795 0.230648i
\(736\) −6.97122 + 6.97122i −0.256962 + 0.256962i
\(737\) 22.2388 12.8396i 0.819177 0.472952i
\(738\) −13.9972 73.5028i −0.515244 2.70568i
\(739\) 13.0058 + 48.5383i 0.478426 + 1.78551i 0.607997 + 0.793940i \(0.291973\pi\)
−0.129571 + 0.991570i \(0.541360\pi\)
\(740\) 4.88294 8.45749i 0.179500 0.310904i
\(741\) 33.3333 23.6267i 1.22453 0.867949i
\(742\) −1.90966 + 5.95987i −0.0701060 + 0.218794i
\(743\) −11.1097 2.97684i −0.407575 0.109209i 0.0492056 0.998789i \(-0.484331\pi\)
−0.456781 + 0.889579i \(0.650998\pi\)
\(744\) 11.1071 + 5.08736i 0.407206 + 0.186512i
\(745\) 1.23938i 0.0454074i
\(746\) 18.5475 + 4.96978i 0.679071 + 0.181956i
\(747\) −8.61461 17.8347i −0.315192 0.652536i
\(748\) −10.0859 37.6413i −0.368779 1.37630i
\(749\) −0.465772 + 9.63882i −0.0170189 + 0.352195i
\(750\) 14.7141 + 20.7118i 0.537284 + 0.756287i
\(751\) 6.28993i 0.229523i −0.993393 0.114761i \(-0.963390\pi\)
0.993393 0.114761i \(-0.0366104\pi\)
\(752\) 3.08272 0.826012i 0.112415 0.0301215i
\(753\) −33.0634 + 3.12011i −1.20490 + 0.113703i
\(754\) −0.000707007 0.655546i −2.57477e−5 0.0238736i
\(755\) 0.414972i 0.0151024i
\(756\) 7.94274 + 33.3243i 0.288875 + 1.21199i
\(757\) 6.93177 + 12.0062i 0.251940 + 0.436372i 0.964060 0.265685i \(-0.0855982\pi\)
−0.712120 + 0.702058i \(0.752265\pi\)
\(758\) 35.4438 + 61.3904i 1.28738 + 2.22980i
\(759\) −5.58231 4.61959i −0.202625 0.167680i
\(760\) −3.52641 3.52641i −0.127916 0.127916i
\(761\) 2.48344 9.26831i 0.0900245 0.335976i −0.906194 0.422863i \(-0.861025\pi\)
0.996218 + 0.0868868i \(0.0276919\pi\)
\(762\) −21.0656 + 7.83040i −0.763125 + 0.283665i
\(763\) 5.80087 18.1039i 0.210006 0.655406i
\(764\) 27.1222 + 46.9770i 0.981245 + 1.69957i
\(765\) −10.1224 0.746576i −0.365975 0.0269925i
\(766\) 62.2790 35.9568i 2.25023 1.29917i
\(767\) 0.399168 + 0.231034i 0.0144131 + 0.00834217i
\(768\) −5.54018 7.79842i −0.199914 0.281401i
\(769\) −4.78937 + 17.8742i −0.172709 + 0.644559i 0.824221 + 0.566268i \(0.191613\pi\)
−0.996931 + 0.0782915i \(0.975054\pi\)
\(770\) 13.1964 + 4.22839i 0.475564 + 0.152380i
\(771\) −6.35663 8.94766i −0.228929 0.322242i
\(772\) 9.09128 2.43600i 0.327202 0.0876736i