Properties

Label 91.2.bc.a.6.4
Level $91$
Weight $2$
Character 91.6
Analytic conductor $0.727$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.bc (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 6.4
Character \(\chi\) \(=\) 91.6
Dual form 91.2.bc.a.76.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.357317 - 1.33353i) q^{2} +(0.928437 + 0.536034i) q^{3} +(0.0814361 - 0.0470171i) q^{4} +(2.02925 + 2.02925i) q^{5} +(0.383068 - 1.42963i) q^{6} +(-2.32989 + 1.25364i) q^{7} +(-2.04421 - 2.04421i) q^{8} +(-0.925336 - 1.60273i) q^{9} +O(q^{10})\) \(q+(-0.357317 - 1.33353i) q^{2} +(0.928437 + 0.536034i) q^{3} +(0.0814361 - 0.0470171i) q^{4} +(2.02925 + 2.02925i) q^{5} +(0.383068 - 1.42963i) q^{6} +(-2.32989 + 1.25364i) q^{7} +(-2.04421 - 2.04421i) q^{8} +(-0.925336 - 1.60273i) q^{9} +(1.98097 - 3.43114i) q^{10} +(1.37941 - 0.369611i) q^{11} +0.100811 q^{12} +(-3.54926 - 0.634621i) q^{13} +(2.50427 + 2.65902i) q^{14} +(0.796284 + 2.97177i) q^{15} +(-1.90154 + 3.29357i) q^{16} +(-2.09909 - 3.63573i) q^{17} +(-1.80664 + 1.80664i) q^{18} +(-1.59577 + 5.95551i) q^{19} +(0.260663 + 0.0698445i) q^{20} +(-2.83515 - 0.0849695i) q^{21} +(-0.985770 - 1.70740i) q^{22} +(6.77658 + 3.91246i) q^{23} +(-0.802157 - 2.99369i) q^{24} +3.23569i q^{25} +(0.421928 + 4.95979i) q^{26} -5.20025i q^{27} +(-0.130794 + 0.211636i) q^{28} +(0.441485 - 0.764674i) q^{29} +(3.67841 - 2.12373i) q^{30} +(0.648762 + 0.648762i) q^{31} +(-0.513380 - 0.137560i) q^{32} +(1.47882 + 0.396247i) q^{33} +(-4.09830 + 4.09830i) q^{34} +(-7.27187 - 2.18397i) q^{35} +(-0.150711 - 0.0870133i) q^{36} +(-7.19341 + 1.92747i) q^{37} +8.51202 q^{38} +(-2.95509 - 2.49173i) q^{39} -8.29643i q^{40} +(11.4714 - 3.07376i) q^{41} +(0.899739 + 3.81111i) q^{42} +(0.809734 - 0.467500i) q^{43} +(0.0949554 - 0.0949554i) q^{44} +(1.37460 - 5.13007i) q^{45} +(2.79598 - 10.4347i) q^{46} +(-2.20935 + 2.20935i) q^{47} +(-3.53093 + 2.03858i) q^{48} +(3.85676 - 5.84170i) q^{49} +(4.31487 - 1.15617i) q^{50} -4.50073i q^{51} +(-0.318876 + 0.115195i) q^{52} +2.52486 q^{53} +(-6.93466 + 1.85814i) q^{54} +(3.54919 + 2.04912i) q^{55} +(7.32550 + 2.20008i) q^{56} +(-4.67393 + 4.67393i) q^{57} +(-1.17746 - 0.315500i) q^{58} +(-5.65360 - 1.51488i) q^{59} +(0.204571 + 0.204571i) q^{60} +(0.0739657 - 0.0427041i) q^{61} +(0.633327 - 1.09695i) q^{62} +(4.16518 + 2.57414i) q^{63} +8.33994i q^{64} +(-5.91453 - 8.49013i) q^{65} -2.11362i q^{66} +(0.266684 + 0.995278i) q^{67} +(-0.341884 - 0.197387i) q^{68} +(4.19442 + 7.26495i) q^{69} +(-0.314014 + 10.4776i) q^{70} +(2.79996 + 0.750247i) q^{71} +(-1.38474 + 5.16791i) q^{72} +(-2.01428 + 2.01428i) q^{73} +(5.14066 + 8.90388i) q^{74} +(-1.73444 + 3.00414i) q^{75} +(0.150057 + 0.560022i) q^{76} +(-2.75050 + 2.59043i) q^{77} +(-2.26688 + 4.83102i) q^{78} +9.43068 q^{79} +(-10.5422 + 2.82477i) q^{80} +(0.0114981 - 0.0199152i) q^{81} +(-8.19789 - 14.1992i) q^{82} +(-1.54040 - 1.54040i) q^{83} +(-0.234879 + 0.126381i) q^{84} +(3.11823 - 11.6374i) q^{85} +(-0.912755 - 0.912755i) q^{86} +(0.819782 - 0.473301i) q^{87} +(-3.57536 - 2.06424i) q^{88} +(-1.27469 - 4.75720i) q^{89} -7.33225 q^{90} +(9.06497 - 2.97091i) q^{91} +0.735811 q^{92} +(0.254577 + 0.950093i) q^{93} +(3.73567 + 2.15679i) q^{94} +(-15.3234 + 8.84698i) q^{95} +(-0.402905 - 0.402905i) q^{96} +(2.37752 - 8.87303i) q^{97} +(-9.16814 - 3.05575i) q^{98} +(-1.86880 - 1.86880i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 8q^{2} - 12q^{4} - 16q^{8} + 8q^{9} + O(q^{10}) \) \( 32q - 8q^{2} - 12q^{4} - 16q^{8} + 8q^{9} - 4q^{11} - 32q^{14} - 8q^{15} + 12q^{16} - 4q^{18} + 16q^{21} + 4q^{22} - 12q^{23} + 24q^{28} + 4q^{29} + 12q^{30} + 4q^{32} - 20q^{35} + 4q^{37} - 36q^{39} - 28q^{42} - 48q^{43} + 24q^{44} + 84q^{46} + 24q^{49} - 44q^{50} + 72q^{53} + 60q^{56} - 92q^{57} - 16q^{58} + 76q^{60} + 48q^{63} + 4q^{65} - 56q^{67} + 56q^{70} + 84q^{71} - 128q^{72} - 24q^{74} + 148q^{78} - 80q^{79} + 28q^{81} - 64q^{84} + 36q^{85} - 48q^{86} - 228q^{88} - 48q^{91} + 24q^{92} + 108q^{93} - 84q^{95} - 32q^{98} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{5}{12}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.357317 1.33353i −0.252661 0.942945i −0.969377 0.245579i \(-0.921022\pi\)
0.716715 0.697366i \(-0.245645\pi\)
\(3\) 0.928437 + 0.536034i 0.536034 + 0.309479i 0.743470 0.668769i \(-0.233179\pi\)
−0.207436 + 0.978249i \(0.566512\pi\)
\(4\) 0.0814361 0.0470171i 0.0407180 0.0235086i
\(5\) 2.02925 + 2.02925i 0.907507 + 0.907507i 0.996071 0.0885635i \(-0.0282276\pi\)
−0.0885635 + 0.996071i \(0.528228\pi\)
\(6\) 0.383068 1.42963i 0.156387 0.583644i
\(7\) −2.32989 + 1.25364i −0.880615 + 0.473832i
\(8\) −2.04421 2.04421i −0.722739 0.722739i
\(9\) −0.925336 1.60273i −0.308445 0.534243i
\(10\) 1.98097 3.43114i 0.626437 1.08502i
\(11\) 1.37941 0.369611i 0.415906 0.111442i −0.0447966 0.998996i \(-0.514264\pi\)
0.460703 + 0.887554i \(0.347597\pi\)
\(12\) 0.100811 0.0291016
\(13\) −3.54926 0.634621i −0.984388 0.176012i
\(14\) 2.50427 + 2.65902i 0.669295 + 0.710652i
\(15\) 0.796284 + 2.97177i 0.205600 + 0.767309i
\(16\) −1.90154 + 3.29357i −0.475386 + 0.823393i
\(17\) −2.09909 3.63573i −0.509105 0.881795i −0.999944 0.0105451i \(-0.996643\pi\)
0.490840 0.871250i \(-0.336690\pi\)
\(18\) −1.80664 + 1.80664i −0.425830 + 0.425830i
\(19\) −1.59577 + 5.95551i −0.366096 + 1.36629i 0.499834 + 0.866121i \(0.333394\pi\)
−0.865929 + 0.500166i \(0.833272\pi\)
\(20\) 0.260663 + 0.0698445i 0.0582861 + 0.0156177i
\(21\) −2.83515 0.0849695i −0.618680 0.0185419i
\(22\) −0.985770 1.70740i −0.210167 0.364020i
\(23\) 6.77658 + 3.91246i 1.41302 + 0.815805i 0.995671 0.0929436i \(-0.0296276\pi\)
0.417344 + 0.908748i \(0.362961\pi\)
\(24\) −0.802157 2.99369i −0.163740 0.611085i
\(25\) 3.23569i 0.647138i
\(26\) 0.421928 + 4.95979i 0.0827470 + 0.972695i
\(27\) 5.20025i 1.00079i
\(28\) −0.130794 + 0.211636i −0.0247178 + 0.0399955i
\(29\) 0.441485 0.764674i 0.0819817 0.141996i −0.822119 0.569315i \(-0.807208\pi\)
0.904101 + 0.427319i \(0.140542\pi\)
\(30\) 3.67841 2.12373i 0.671583 0.387738i
\(31\) 0.648762 + 0.648762i 0.116521 + 0.116521i 0.762963 0.646442i \(-0.223744\pi\)
−0.646442 + 0.762963i \(0.723744\pi\)
\(32\) −0.513380 0.137560i −0.0907536 0.0243174i
\(33\) 1.47882 + 0.396247i 0.257429 + 0.0689778i
\(34\) −4.09830 + 4.09830i −0.702853 + 0.702853i
\(35\) −7.27187 2.18397i −1.22917 0.369158i
\(36\) −0.150711 0.0870133i −0.0251186 0.0145022i
\(37\) −7.19341 + 1.92747i −1.18259 + 0.316874i −0.795953 0.605358i \(-0.793030\pi\)
−0.386637 + 0.922232i \(0.626363\pi\)
\(38\) 8.51202 1.38083
\(39\) −2.95509 2.49173i −0.473193 0.398996i
\(40\) 8.29643i 1.31178i
\(41\) 11.4714 3.07376i 1.79154 0.480041i 0.798933 0.601421i \(-0.205398\pi\)
0.992606 + 0.121379i \(0.0387317\pi\)
\(42\) 0.899739 + 3.81111i 0.138833 + 0.588066i
\(43\) 0.809734 0.467500i 0.123483 0.0712931i −0.436986 0.899468i \(-0.643954\pi\)
0.560469 + 0.828175i \(0.310621\pi\)
\(44\) 0.0949554 0.0949554i 0.0143151 0.0143151i
\(45\) 1.37460 5.13007i 0.204913 0.764746i
\(46\) 2.79598 10.4347i 0.412245 1.53852i
\(47\) −2.20935 + 2.20935i −0.322267 + 0.322267i −0.849636 0.527369i \(-0.823179\pi\)
0.527369 + 0.849636i \(0.323179\pi\)
\(48\) −3.53093 + 2.03858i −0.509646 + 0.294244i
\(49\) 3.85676 5.84170i 0.550966 0.834528i
\(50\) 4.31487 1.15617i 0.610215 0.163507i
\(51\) 4.50073i 0.630229i
\(52\) −0.318876 + 0.115195i −0.0442201 + 0.0159747i
\(53\) 2.52486 0.346816 0.173408 0.984850i \(-0.444522\pi\)
0.173408 + 0.984850i \(0.444522\pi\)
\(54\) −6.93466 + 1.85814i −0.943688 + 0.252860i
\(55\) 3.54919 + 2.04912i 0.478572 + 0.276304i
\(56\) 7.32550 + 2.20008i 0.978912 + 0.293998i
\(57\) −4.67393 + 4.67393i −0.619077 + 0.619077i
\(58\) −1.17746 0.315500i −0.154608 0.0414272i
\(59\) −5.65360 1.51488i −0.736035 0.197220i −0.128720 0.991681i \(-0.541087\pi\)
−0.607315 + 0.794461i \(0.707754\pi\)
\(60\) 0.204571 + 0.204571i 0.0264100 + 0.0264100i
\(61\) 0.0739657 0.0427041i 0.00947033 0.00546770i −0.495257 0.868746i \(-0.664926\pi\)
0.504728 + 0.863279i \(0.331593\pi\)
\(62\) 0.633327 1.09695i 0.0804326 0.139313i
\(63\) 4.16518 + 2.57414i 0.524763 + 0.324311i
\(64\) 8.33994i 1.04249i
\(65\) −5.91453 8.49013i −0.733607 1.05307i
\(66\) 2.11362i 0.260169i
\(67\) 0.266684 + 0.995278i 0.0325806 + 0.121593i 0.980301 0.197510i \(-0.0632854\pi\)
−0.947720 + 0.319102i \(0.896619\pi\)
\(68\) −0.341884 0.197387i −0.0414595 0.0239366i
\(69\) 4.19442 + 7.26495i 0.504949 + 0.874598i
\(70\) −0.314014 + 10.4776i −0.0375318 + 1.25231i
\(71\) 2.79996 + 0.750247i 0.332294 + 0.0890380i 0.421109 0.907010i \(-0.361641\pi\)
−0.0888143 + 0.996048i \(0.528308\pi\)
\(72\) −1.38474 + 5.16791i −0.163193 + 0.609044i
\(73\) −2.01428 + 2.01428i −0.235754 + 0.235754i −0.815089 0.579335i \(-0.803312\pi\)
0.579335 + 0.815089i \(0.303312\pi\)
\(74\) 5.14066 + 8.90388i 0.597589 + 1.03506i
\(75\) −1.73444 + 3.00414i −0.200276 + 0.346888i
\(76\) 0.150057 + 0.560022i 0.0172128 + 0.0642389i
\(77\) −2.75050 + 2.59043i −0.313449 + 0.295207i
\(78\) −2.26688 + 4.83102i −0.256674 + 0.547006i
\(79\) 9.43068 1.06103 0.530517 0.847674i \(-0.321998\pi\)
0.530517 + 0.847674i \(0.321998\pi\)
\(80\) −10.5422 + 2.82477i −1.17865 + 0.315819i
\(81\) 0.0114981 0.0199152i 0.00127756 0.00221280i
\(82\) −8.19789 14.1992i −0.905305 1.56803i
\(83\) −1.54040 1.54040i −0.169081 0.169081i 0.617494 0.786575i \(-0.288148\pi\)
−0.786575 + 0.617494i \(0.788148\pi\)
\(84\) −0.234879 + 0.126381i −0.0256273 + 0.0137893i
\(85\) 3.11823 11.6374i 0.338219 1.26225i
\(86\) −0.912755 0.912755i −0.0984249 0.0984249i
\(87\) 0.819782 0.473301i 0.0878898 0.0507432i
\(88\) −3.57536 2.06424i −0.381135 0.220048i
\(89\) −1.27469 4.75720i −0.135117 0.504262i −0.999997 0.00228491i \(-0.999273\pi\)
0.864881 0.501977i \(-0.167394\pi\)
\(90\) −7.33225 −0.772887
\(91\) 9.06497 2.97091i 0.950267 0.311436i
\(92\) 0.735811 0.0767136
\(93\) 0.254577 + 0.950093i 0.0263984 + 0.0985201i
\(94\) 3.73567 + 2.15679i 0.385305 + 0.222456i
\(95\) −15.3234 + 8.84698i −1.57215 + 0.907681i
\(96\) −0.402905 0.402905i −0.0411213 0.0411213i
\(97\) 2.37752 8.87303i 0.241401 0.900920i −0.733758 0.679411i \(-0.762235\pi\)
0.975158 0.221509i \(-0.0710981\pi\)
\(98\) −9.16814 3.05575i −0.926122 0.308677i
\(99\) −1.86880 1.86880i −0.187821 0.187821i
\(100\) 0.152133 + 0.263502i 0.0152133 + 0.0263502i
\(101\) −3.27488 + 5.67227i −0.325863 + 0.564412i −0.981687 0.190503i \(-0.938988\pi\)
0.655824 + 0.754914i \(0.272322\pi\)
\(102\) −6.00184 + 1.60819i −0.594271 + 0.159234i
\(103\) 9.85541 0.971082 0.485541 0.874214i \(-0.338623\pi\)
0.485541 + 0.874214i \(0.338623\pi\)
\(104\) 5.95815 + 8.55275i 0.584245 + 0.838666i
\(105\) −5.58080 5.92564i −0.544630 0.578284i
\(106\) −0.902174 3.36696i −0.0876269 0.327028i
\(107\) −5.29678 + 9.17430i −0.512059 + 0.886913i 0.487843 + 0.872931i \(0.337784\pi\)
−0.999902 + 0.0139814i \(0.995549\pi\)
\(108\) −0.244501 0.423488i −0.0235271 0.0407501i
\(109\) 11.6691 11.6691i 1.11770 1.11770i 0.125617 0.992079i \(-0.459909\pi\)
0.992079 0.125617i \(-0.0400911\pi\)
\(110\) 1.46437 5.46512i 0.139623 0.521078i
\(111\) −7.71182 2.06638i −0.731974 0.196132i
\(112\) 0.301424 10.0575i 0.0284819 0.950346i
\(113\) −0.322118 0.557925i −0.0303023 0.0524851i 0.850477 0.526013i \(-0.176314\pi\)
−0.880779 + 0.473528i \(0.842980\pi\)
\(114\) 7.90288 + 4.56273i 0.740172 + 0.427339i
\(115\) 5.81201 + 21.6907i 0.541973 + 2.02267i
\(116\) 0.0830294i 0.00770909i
\(117\) 2.26713 + 6.27574i 0.209597 + 0.580193i
\(118\) 8.08051i 0.743871i
\(119\) 9.44856 + 5.83934i 0.866148 + 0.535292i
\(120\) 4.44717 7.70272i 0.405969 0.703159i
\(121\) −7.76013 + 4.48031i −0.705467 + 0.407301i
\(122\) −0.0833762 0.0833762i −0.00754853 0.00754853i
\(123\) 12.2982 + 3.29528i 1.10889 + 0.297126i
\(124\) 0.0833356 + 0.0223297i 0.00748376 + 0.00200527i
\(125\) 3.58022 3.58022i 0.320225 0.320225i
\(126\) 1.94439 6.47416i 0.173220 0.576764i
\(127\) −14.1284 8.15702i −1.25369 0.723819i −0.281850 0.959458i \(-0.590948\pi\)
−0.971841 + 0.235640i \(0.924282\pi\)
\(128\) 10.0948 2.70488i 0.892259 0.239080i
\(129\) 1.00238 0.0882549
\(130\) −9.20845 + 10.9208i −0.807634 + 0.957821i
\(131\) 2.35280i 0.205565i −0.994704 0.102783i \(-0.967225\pi\)
0.994704 0.102783i \(-0.0327746\pi\)
\(132\) 0.139059 0.0372608i 0.0121036 0.00324314i
\(133\) −3.74811 15.8762i −0.325002 1.37664i
\(134\) 1.23194 0.711259i 0.106423 0.0614435i
\(135\) 10.5526 10.5526i 0.908222 0.908222i
\(136\) −3.14122 + 11.7232i −0.269358 + 1.00526i
\(137\) 2.68838 10.0332i 0.229683 0.857190i −0.750790 0.660541i \(-0.770327\pi\)
0.980474 0.196650i \(-0.0630062\pi\)
\(138\) 8.18926 8.18926i 0.697116 0.697116i
\(139\) −5.33208 + 3.07848i −0.452261 + 0.261113i −0.708784 0.705425i \(-0.750756\pi\)
0.256524 + 0.966538i \(0.417423\pi\)
\(140\) −0.694877 + 0.164049i −0.0587278 + 0.0138647i
\(141\) −3.23553 + 0.866959i −0.272481 + 0.0730111i
\(142\) 4.00190i 0.335832i
\(143\) −5.13043 + 0.436445i −0.429028 + 0.0364974i
\(144\) 7.03827 0.586523
\(145\) 2.44759 0.655831i 0.203262 0.0544638i
\(146\) 3.40583 + 1.96636i 0.281869 + 0.162737i
\(147\) 6.71210 3.35630i 0.553605 0.276823i
\(148\) −0.495179 + 0.495179i −0.0407035 + 0.0407035i
\(149\) −8.40965 2.25336i −0.688945 0.184602i −0.102672 0.994715i \(-0.532739\pi\)
−0.586274 + 0.810113i \(0.699406\pi\)
\(150\) 4.62584 + 1.23949i 0.377698 + 0.101204i
\(151\) 9.55198 + 9.55198i 0.777329 + 0.777329i 0.979376 0.202047i \(-0.0647593\pi\)
−0.202047 + 0.979376i \(0.564759\pi\)
\(152\) 15.4364 8.91223i 1.25206 0.722877i
\(153\) −3.88473 + 6.72855i −0.314062 + 0.543971i
\(154\) 4.43721 + 2.74226i 0.357561 + 0.220977i
\(155\) 2.63300i 0.211487i
\(156\) −0.357805 0.0639768i −0.0286473 0.00512225i
\(157\) 6.77973i 0.541081i 0.962709 + 0.270541i \(0.0872024\pi\)
−0.962709 + 0.270541i \(0.912798\pi\)
\(158\) −3.36974 12.5761i −0.268082 1.00050i
\(159\) 2.34417 + 1.35341i 0.185905 + 0.107332i
\(160\) −0.762632 1.32092i −0.0602914 0.104428i
\(161\) −20.6935 0.620185i −1.63088 0.0488774i
\(162\) −0.0306659 0.00821691i −0.00240934 0.000645582i
\(163\) −2.82752 + 10.5525i −0.221469 + 0.826532i 0.762320 + 0.647200i \(0.224060\pi\)
−0.983789 + 0.179332i \(0.942606\pi\)
\(164\) 0.789670 0.789670i 0.0616629 0.0616629i
\(165\) 2.19680 + 3.80497i 0.171020 + 0.296216i
\(166\) −1.50375 + 2.60458i −0.116714 + 0.202155i
\(167\) −4.71387 17.5924i −0.364770 1.36134i −0.867732 0.497032i \(-0.834423\pi\)
0.502962 0.864308i \(-0.332244\pi\)
\(168\) 5.62196 + 5.96935i 0.433743 + 0.460545i
\(169\) 12.1945 + 4.50487i 0.938039 + 0.346529i
\(170\) −16.6329 −1.27569
\(171\) 11.0217 2.95325i 0.842850 0.225841i
\(172\) 0.0439610 0.0761428i 0.00335200 0.00580583i
\(173\) 10.0761 + 17.4523i 0.766070 + 1.32687i 0.939679 + 0.342058i \(0.111124\pi\)
−0.173608 + 0.984815i \(0.555543\pi\)
\(174\) −0.924081 0.924081i −0.0700544 0.0700544i
\(175\) −4.05640 7.53880i −0.306635 0.569879i
\(176\) −1.40566 + 5.24600i −0.105956 + 0.395432i
\(177\) −4.43698 4.43698i −0.333504 0.333504i
\(178\) −5.88838 + 3.39966i −0.441353 + 0.254815i
\(179\) −14.3173 8.26609i −1.07012 0.617837i −0.141909 0.989880i \(-0.545324\pi\)
−0.928216 + 0.372043i \(0.878657\pi\)
\(180\) −0.129259 0.482402i −0.00963442 0.0359562i
\(181\) −13.6897 −1.01755 −0.508774 0.860900i \(-0.669901\pi\)
−0.508774 + 0.860900i \(0.669901\pi\)
\(182\) −7.20085 11.0268i −0.533763 0.817362i
\(183\) 0.0915633 0.00676855
\(184\) −5.85488 21.8507i −0.431627 1.61085i
\(185\) −18.5085 10.6859i −1.36077 0.785643i
\(186\) 1.17601 0.678969i 0.0862292 0.0497844i
\(187\) −4.23930 4.23930i −0.310009 0.310009i
\(188\) −0.0760436 + 0.283799i −0.00554605 + 0.0206981i
\(189\) 6.51925 + 12.1160i 0.474206 + 0.881309i
\(190\) 17.2730 + 17.2730i 1.25311 + 1.25311i
\(191\) 4.07445 + 7.05715i 0.294817 + 0.510638i 0.974942 0.222458i \(-0.0714081\pi\)
−0.680126 + 0.733096i \(0.738075\pi\)
\(192\) −4.47049 + 7.74311i −0.322629 + 0.558811i
\(193\) −25.8745 + 6.93304i −1.86249 + 0.499051i −0.999976 0.00698876i \(-0.997775\pi\)
−0.862510 + 0.506040i \(0.831109\pi\)
\(194\) −12.6819 −0.910511
\(195\) −0.940271 11.0529i −0.0673342 0.791517i
\(196\) 0.0394195 0.657059i 0.00281568 0.0469328i
\(197\) 4.77033 + 17.8031i 0.339872 + 1.26842i 0.898490 + 0.438995i \(0.144665\pi\)
−0.558617 + 0.829426i \(0.688668\pi\)
\(198\) −1.82434 + 3.15985i −0.129650 + 0.224560i
\(199\) 6.35578 + 11.0085i 0.450550 + 0.780375i 0.998420 0.0561884i \(-0.0178947\pi\)
−0.547871 + 0.836563i \(0.684561\pi\)
\(200\) 6.61444 6.61444i 0.467712 0.467712i
\(201\) −0.285903 + 1.06700i −0.0201660 + 0.0752607i
\(202\) 8.73428 + 2.34034i 0.614542 + 0.164666i
\(203\) −0.0699820 + 2.33507i −0.00491178 + 0.163890i
\(204\) −0.211612 0.366522i −0.0148158 0.0256617i
\(205\) 29.5158 + 17.0410i 2.06147 + 1.19019i
\(206\) −3.52150 13.1424i −0.245355 0.915677i
\(207\) 14.4814i 1.00652i
\(208\) 8.83925 10.4830i 0.612892 0.726864i
\(209\) 8.80488i 0.609046i
\(210\) −5.90788 + 9.55947i −0.407683 + 0.659666i
\(211\) −2.26459 + 3.92239i −0.155901 + 0.270028i −0.933387 0.358872i \(-0.883161\pi\)
0.777486 + 0.628900i \(0.216495\pi\)
\(212\) 0.205614 0.118712i 0.0141217 0.00815314i
\(213\) 2.19743 + 2.19743i 0.150565 + 0.150565i
\(214\) 14.1268 + 3.78526i 0.965688 + 0.258755i
\(215\) 2.59182 + 0.694477i 0.176761 + 0.0473629i
\(216\) −10.6304 + 10.6304i −0.723308 + 0.723308i
\(217\) −2.32486 0.698227i −0.157822 0.0473988i
\(218\) −19.7306 11.3915i −1.33632 0.771527i
\(219\) −2.94986 + 0.790412i −0.199333 + 0.0534111i
\(220\) 0.385376 0.0259820
\(221\) 5.14291 + 14.2363i 0.345950 + 0.957637i
\(222\) 11.0223i 0.739766i
\(223\) −22.4788 + 6.02318i −1.50529 + 0.403342i −0.914868 0.403752i \(-0.867706\pi\)
−0.590423 + 0.807094i \(0.701039\pi\)
\(224\) 1.36857 0.323096i 0.0914414 0.0215878i
\(225\) 5.18593 2.99410i 0.345729 0.199607i
\(226\) −0.628909 + 0.628909i −0.0418344 + 0.0418344i
\(227\) −2.69786 + 10.0685i −0.179063 + 0.668273i 0.816761 + 0.576977i \(0.195768\pi\)
−0.995824 + 0.0912961i \(0.970899\pi\)
\(228\) −0.160872 + 0.600381i −0.0106540 + 0.0397612i
\(229\) −1.36381 + 1.36381i −0.0901234 + 0.0901234i −0.750731 0.660608i \(-0.770299\pi\)
0.660608 + 0.750731i \(0.270299\pi\)
\(230\) 26.8484 15.5009i 1.77033 1.02210i
\(231\) −3.94223 + 0.930694i −0.259380 + 0.0612352i
\(232\) −2.46565 + 0.660668i −0.161878 + 0.0433750i
\(233\) 8.59532i 0.563098i −0.959547 0.281549i \(-0.909152\pi\)
0.959547 0.281549i \(-0.0908482\pi\)
\(234\) 7.55878 5.26571i 0.494133 0.344230i
\(235\) −8.96665 −0.584920
\(236\) −0.531632 + 0.142450i −0.0346063 + 0.00927273i
\(237\) 8.75580 + 5.05516i 0.568750 + 0.328368i
\(238\) 4.41078 14.6864i 0.285908 0.951978i
\(239\) −6.45158 + 6.45158i −0.417318 + 0.417318i −0.884278 0.466960i \(-0.845349\pi\)
0.466960 + 0.884278i \(0.345349\pi\)
\(240\) −11.3019 3.02834i −0.729536 0.195479i
\(241\) 4.21497 + 1.12940i 0.271510 + 0.0727509i 0.392005 0.919963i \(-0.371782\pi\)
−0.120495 + 0.992714i \(0.538448\pi\)
\(242\) 8.74744 + 8.74744i 0.562307 + 0.562307i
\(243\) −13.4893 + 7.78804i −0.865338 + 0.499603i
\(244\) 0.00401565 0.00695531i 0.000257076 0.000445268i
\(245\) 19.6806 4.02793i 1.25735 0.257335i
\(246\) 17.5774i 1.12069i
\(247\) 9.44331 20.1249i 0.600863 1.28052i
\(248\) 2.65242i 0.168429i
\(249\) −0.604460 2.25588i −0.0383061 0.142960i
\(250\) −6.05359 3.49504i −0.382863 0.221046i
\(251\) −2.27953 3.94826i −0.143883 0.249212i 0.785073 0.619403i \(-0.212625\pi\)
−0.928956 + 0.370191i \(0.879292\pi\)
\(252\) 0.460225 + 0.0137929i 0.0289914 + 0.000868873i
\(253\) 10.7937 + 2.89218i 0.678597 + 0.181830i
\(254\) −5.82929 + 21.7552i −0.365762 + 1.36504i
\(255\) 9.13310 9.13310i 0.571937 0.571937i
\(256\) 1.12588 + 1.95008i 0.0703674 + 0.121880i
\(257\) 4.31666 7.47667i 0.269266 0.466382i −0.699407 0.714724i \(-0.746552\pi\)
0.968672 + 0.248342i \(0.0798857\pi\)
\(258\) −0.358169 1.33670i −0.0222986 0.0832195i
\(259\) 14.3435 13.5088i 0.891261 0.839393i
\(260\) −0.880838 0.413319i −0.0546272 0.0256330i
\(261\) −1.63409 −0.101147
\(262\) −3.13752 + 0.840697i −0.193837 + 0.0519384i
\(263\) 6.53143 11.3128i 0.402745 0.697575i −0.591311 0.806444i \(-0.701389\pi\)
0.994056 + 0.108868i \(0.0347227\pi\)
\(264\) −2.21300 3.83303i −0.136201 0.235907i
\(265\) 5.12356 + 5.12356i 0.314738 + 0.314738i
\(266\) −19.8321 + 10.6710i −1.21598 + 0.654283i
\(267\) 1.36655 5.10004i 0.0836316 0.312117i
\(268\) 0.0685128 + 0.0685128i 0.00418509 + 0.00418509i
\(269\) 10.8756 6.27901i 0.663095 0.382838i −0.130360 0.991467i \(-0.541613\pi\)
0.793455 + 0.608629i \(0.208280\pi\)
\(270\) −17.8428 10.3015i −1.08588 0.626931i
\(271\) −1.19419 4.45677i −0.0725418 0.270730i 0.920123 0.391630i \(-0.128089\pi\)
−0.992665 + 0.120900i \(0.961422\pi\)
\(272\) 15.9661 0.968085
\(273\) 10.0088 + 2.10082i 0.605758 + 0.127148i
\(274\) −14.3401 −0.866315
\(275\) 1.19595 + 4.46333i 0.0721182 + 0.269149i
\(276\) 0.683155 + 0.394420i 0.0411211 + 0.0237413i
\(277\) −1.44840 + 0.836232i −0.0870257 + 0.0502443i −0.542881 0.839809i \(-0.682667\pi\)
0.455856 + 0.890054i \(0.349333\pi\)
\(278\) 6.01047 + 6.01047i 0.360484 + 0.360484i
\(279\) 0.439467 1.64011i 0.0263102 0.0981910i
\(280\) 10.4008 + 19.3298i 0.621564 + 1.15517i
\(281\) −13.9259 13.9259i −0.830749 0.830749i 0.156870 0.987619i \(-0.449860\pi\)
−0.987619 + 0.156870i \(0.949860\pi\)
\(282\) 2.31222 + 4.00489i 0.137691 + 0.238488i
\(283\) 16.4969 28.5736i 0.980642 1.69852i 0.320744 0.947166i \(-0.396067\pi\)
0.659897 0.751356i \(-0.270600\pi\)
\(284\) 0.263292 0.0705490i 0.0156235 0.00418631i
\(285\) −18.9691 −1.12363
\(286\) 2.41520 + 6.68561i 0.142814 + 0.395329i
\(287\) −22.8738 + 21.5426i −1.35020 + 1.27162i
\(288\) 0.254578 + 0.950098i 0.0150012 + 0.0559851i
\(289\) −0.312374 + 0.541047i −0.0183749 + 0.0318263i
\(290\) −1.74913 3.02959i −0.102713 0.177904i
\(291\) 6.96362 6.96362i 0.408215 0.408215i
\(292\) −0.0693294 + 0.258741i −0.00405720 + 0.0151417i
\(293\) 21.2120 + 5.68375i 1.23922 + 0.332048i 0.818163 0.574986i \(-0.194993\pi\)
0.421057 + 0.907034i \(0.361659\pi\)
\(294\) −6.87406 7.75150i −0.400903 0.452077i
\(295\) −8.39849 14.5466i −0.488979 0.846936i
\(296\) 18.6450 + 10.7647i 1.08372 + 0.625686i
\(297\) −1.92207 7.17325i −0.111530 0.416234i
\(298\) 12.0196i 0.696279i
\(299\) −21.5689 18.1869i −1.24736 1.05178i
\(300\) 0.326193i 0.0188328i
\(301\) −1.30051 + 2.10434i −0.0749602 + 0.121292i
\(302\) 9.32472 16.1509i 0.536578 0.929380i
\(303\) −6.08105 + 3.51090i −0.349347 + 0.201696i
\(304\) −16.5805 16.5805i −0.950955 0.950955i
\(305\) 0.236752 + 0.0634374i 0.0135564 + 0.00363242i
\(306\) 10.3608 + 2.77616i 0.592286 + 0.158703i
\(307\) 13.7833 13.7833i 0.786656 0.786656i −0.194289 0.980944i \(-0.562240\pi\)
0.980944 + 0.194289i \(0.0622399\pi\)
\(308\) −0.102195 + 0.340275i −0.00582312 + 0.0193890i
\(309\) 9.15013 + 5.28283i 0.520533 + 0.300530i
\(310\) 3.51117 0.940815i 0.199421 0.0534347i
\(311\) −25.8267 −1.46450 −0.732248 0.681038i \(-0.761529\pi\)
−0.732248 + 0.681038i \(0.761529\pi\)
\(312\) 0.947206 + 11.1345i 0.0536250 + 0.630365i
\(313\) 28.6662i 1.62031i 0.586216 + 0.810155i \(0.300617\pi\)
−0.586216 + 0.810155i \(0.699383\pi\)
\(314\) 9.04094 2.42251i 0.510210 0.136710i
\(315\) 3.22862 + 13.6757i 0.181912 + 0.770541i
\(316\) 0.767998 0.443404i 0.0432033 0.0249434i
\(317\) 8.81498 8.81498i 0.495098 0.495098i −0.414810 0.909908i \(-0.636152\pi\)
0.909908 + 0.414810i \(0.136152\pi\)
\(318\) 0.967191 3.60961i 0.0542374 0.202417i
\(319\) 0.326355 1.21797i 0.0182724 0.0681934i
\(320\) −16.9238 + 16.9238i −0.946069 + 0.946069i
\(321\) −9.83546 + 5.67851i −0.548962 + 0.316943i
\(322\) 6.56711 + 27.8169i 0.365971 + 1.55018i
\(323\) 25.0023 6.69935i 1.39117 0.372762i
\(324\) 0.00216243i 0.000120135i
\(325\) 2.05344 11.4843i 0.113904 0.637035i
\(326\) 15.0823 0.835331
\(327\) 17.0890 4.57899i 0.945026 0.253219i
\(328\) −29.7335 17.1667i −1.64176 0.947870i
\(329\) 2.37781 7.91729i 0.131093 0.436494i
\(330\) 4.28907 4.28907i 0.236105 0.236105i
\(331\) −28.9319 7.75229i −1.59024 0.426104i −0.648166 0.761499i \(-0.724464\pi\)
−0.942078 + 0.335395i \(0.891130\pi\)
\(332\) −0.197870 0.0530190i −0.0108595 0.00290980i
\(333\) 9.74554 + 9.74554i 0.534052 + 0.534052i
\(334\) −21.7756 + 12.5721i −1.19151 + 0.687916i
\(335\) −1.47850 + 2.56083i −0.0807789 + 0.139913i
\(336\) 5.67102 9.17620i 0.309379 0.500603i
\(337\) 13.4402i 0.732137i 0.930588 + 0.366068i \(0.119296\pi\)
−0.930588 + 0.366068i \(0.880704\pi\)
\(338\) 1.65005 17.8714i 0.0897511 0.972074i
\(339\) 0.690664i 0.0375117i
\(340\) −0.293220 1.09431i −0.0159021 0.0593474i
\(341\) 1.13470 + 0.655117i 0.0614472 + 0.0354766i
\(342\) −7.87648 13.6425i −0.425911 0.737700i
\(343\) −1.66242 + 18.4455i −0.0897621 + 0.995963i
\(344\) −2.61094 0.699599i −0.140772 0.0377199i
\(345\) −6.23087 + 23.2539i −0.335459 + 1.25195i
\(346\) 19.6727 19.6727i 1.05761 1.05761i
\(347\) 7.24936 + 12.5563i 0.389166 + 0.674055i 0.992338 0.123556i \(-0.0394299\pi\)
−0.603172 + 0.797611i \(0.706097\pi\)
\(348\) 0.0445066 0.0770876i 0.00238580 0.00413233i
\(349\) 5.68220 + 21.2063i 0.304161 + 1.13515i 0.933665 + 0.358148i \(0.116592\pi\)
−0.629504 + 0.776998i \(0.716742\pi\)
\(350\) −8.60376 + 8.10305i −0.459890 + 0.433126i
\(351\) −3.30019 + 18.4570i −0.176151 + 0.985163i
\(352\) −0.759003 −0.0404550
\(353\) 11.1538 2.98864i 0.593655 0.159069i 0.0505316 0.998722i \(-0.483908\pi\)
0.543123 + 0.839653i \(0.317242\pi\)
\(354\) −4.33142 + 7.50224i −0.230212 + 0.398740i
\(355\) 4.15938 + 7.20425i 0.220757 + 0.382362i
\(356\) −0.327476 0.327476i −0.0173562 0.0173562i
\(357\) 5.64231 + 10.4862i 0.298623 + 0.554989i
\(358\) −5.90723 + 22.0461i −0.312207 + 1.16517i
\(359\) −0.631018 0.631018i −0.0333039 0.0333039i 0.690259 0.723563i \(-0.257497\pi\)
−0.723563 + 0.690259i \(0.757497\pi\)
\(360\) −13.2969 + 7.67699i −0.700810 + 0.404613i
\(361\) −16.4671 9.50729i −0.866690 0.500384i
\(362\) 4.89156 + 18.2556i 0.257095 + 0.959491i
\(363\) −9.60639 −0.504205
\(364\) 0.598532 0.668148i 0.0313716 0.0350205i
\(365\) −8.17495 −0.427897
\(366\) −0.0327171 0.122102i −0.00171015 0.00638237i
\(367\) 12.5341 + 7.23654i 0.654273 + 0.377744i 0.790091 0.612989i \(-0.210033\pi\)
−0.135819 + 0.990734i \(0.543366\pi\)
\(368\) −25.7720 + 14.8794i −1.34346 + 0.775645i
\(369\) −15.5414 15.5414i −0.809051 0.809051i
\(370\) −7.63651 + 28.4998i −0.397003 + 1.48164i
\(371\) −5.88263 + 3.16527i −0.305411 + 0.164332i
\(372\) 0.0654024 + 0.0654024i 0.00339096 + 0.00339096i
\(373\) −10.4635 18.1233i −0.541778 0.938387i −0.998802 0.0489327i \(-0.984418\pi\)
0.457024 0.889454i \(-0.348915\pi\)
\(374\) −4.13844 + 7.16800i −0.213994 + 0.370648i
\(375\) 5.24313 1.40489i 0.270754 0.0725483i
\(376\) 9.03278 0.465830
\(377\) −2.05222 + 2.43385i −0.105695 + 0.125350i
\(378\) 13.8275 13.0228i 0.711212 0.669823i
\(379\) −5.53128 20.6430i −0.284123 1.06036i −0.949478 0.313834i \(-0.898387\pi\)
0.665355 0.746527i \(-0.268280\pi\)
\(380\) −0.831920 + 1.44093i −0.0426766 + 0.0739180i
\(381\) −8.74488 15.1466i −0.448014 0.775982i
\(382\) 7.95502 7.95502i 0.407014 0.407014i
\(383\) 4.63937 17.3144i 0.237061 0.884723i −0.740148 0.672444i \(-0.765245\pi\)
0.977209 0.212279i \(-0.0680886\pi\)
\(384\) 10.8223 + 2.89981i 0.552271 + 0.147981i
\(385\) −10.8381 0.324817i −0.552360 0.0165542i
\(386\) 18.4908 + 32.0270i 0.941156 + 1.63013i
\(387\) −1.49855 0.865189i −0.0761757 0.0439800i
\(388\) −0.223569 0.834369i −0.0113500 0.0423587i
\(389\) 4.86154i 0.246490i 0.992376 + 0.123245i \(0.0393301\pi\)
−0.992376 + 0.123245i \(0.960670\pi\)
\(390\) −14.4034 + 5.20328i −0.729345 + 0.263478i
\(391\) 32.8505i 1.66132i
\(392\) −19.8257 + 4.05763i −1.00135 + 0.204942i
\(393\) 1.26118 2.18443i 0.0636182 0.110190i
\(394\) 22.0364 12.7227i 1.11018 0.640962i
\(395\) 19.1372 + 19.1372i 0.962896 + 0.962896i
\(396\) −0.240053 0.0643221i −0.0120631 0.00323231i
\(397\) −18.8967 5.06335i −0.948397 0.254122i −0.248715 0.968577i \(-0.580008\pi\)
−0.699682 + 0.714455i \(0.746675\pi\)
\(398\) 12.4091 12.4091i 0.622014 0.622014i
\(399\) 5.03029 16.7492i 0.251830 0.838507i
\(400\) −10.6570 6.15281i −0.532849 0.307640i
\(401\) 4.15019 1.11204i 0.207251 0.0555327i −0.153700 0.988118i \(-0.549119\pi\)
0.360951 + 0.932585i \(0.382452\pi\)
\(402\) 1.52504 0.0760619
\(403\) −1.89091 2.71434i −0.0941928 0.135211i
\(404\) 0.615903i 0.0306423i
\(405\) 0.0637454 0.0170805i 0.00316753 0.000848738i
\(406\) 3.13888 0.741037i 0.155780 0.0367771i
\(407\) −9.21022 + 5.31752i −0.456534 + 0.263580i
\(408\) −9.20046 + 9.20046i −0.455491 + 0.455491i
\(409\) 7.85062 29.2989i 0.388188 1.44874i −0.444891 0.895585i \(-0.646758\pi\)
0.833079 0.553154i \(-0.186576\pi\)
\(410\) 12.1781 45.4491i 0.601432 2.24457i
\(411\) 7.87410 7.87410i 0.388401 0.388401i
\(412\) 0.802586 0.463373i 0.0395406 0.0228288i
\(413\) 15.0714 3.55810i 0.741613 0.175083i
\(414\) −19.3113 + 5.17444i −0.949098 + 0.254310i
\(415\) 6.25172i 0.306885i
\(416\) 1.73482 + 0.814037i 0.0850566 + 0.0399115i
\(417\) −6.60066 −0.323236
\(418\) 11.7415 3.14613i 0.574297 0.153882i
\(419\) 6.87240 + 3.96778i 0.335739 + 0.193839i 0.658386 0.752680i \(-0.271239\pi\)
−0.322647 + 0.946519i \(0.604573\pi\)
\(420\) −0.733085 0.220168i −0.0357709 0.0107431i
\(421\) −5.98090 + 5.98090i −0.291491 + 0.291491i −0.837669 0.546178i \(-0.816082\pi\)
0.546178 + 0.837669i \(0.316082\pi\)
\(422\) 6.03978 + 1.61835i 0.294012 + 0.0787802i
\(423\) 5.58539 + 1.49660i 0.271571 + 0.0727672i
\(424\) −5.16134 5.16134i −0.250657 0.250657i
\(425\) 11.7641 6.79201i 0.570643 0.329461i
\(426\) 2.14515 3.71551i 0.103933 0.180017i
\(427\) −0.118796 + 0.192222i −0.00574894 + 0.00930229i
\(428\) 0.996159i 0.0481511i
\(429\) −4.99724 2.34487i −0.241269 0.113212i
\(430\) 3.70441i 0.178643i
\(431\) 0.149741 + 0.558842i 0.00721278 + 0.0269185i 0.969438 0.245335i \(-0.0788979\pi\)
−0.962226 + 0.272253i \(0.912231\pi\)
\(432\) 17.1274 + 9.88850i 0.824042 + 0.475761i
\(433\) −4.11334 7.12452i −0.197675 0.342382i 0.750099 0.661325i \(-0.230006\pi\)
−0.947774 + 0.318943i \(0.896672\pi\)
\(434\) −0.100392 + 3.34975i −0.00481897 + 0.160793i
\(435\) 2.62399 + 0.703095i 0.125810 + 0.0337108i
\(436\) 0.401638 1.49893i 0.0192350 0.0717858i
\(437\) −34.1146 + 34.1146i −1.63192 + 1.63192i
\(438\) 2.10807 + 3.65128i 0.100727 + 0.174465i
\(439\) −6.36168 + 11.0188i −0.303626 + 0.525896i −0.976955 0.213447i \(-0.931531\pi\)
0.673328 + 0.739344i \(0.264864\pi\)
\(440\) −3.06645 11.4441i −0.146187 0.545578i
\(441\) −12.9315 0.775808i −0.615784 0.0369433i
\(442\) 17.1468 11.9451i 0.815591 0.568169i
\(443\) −2.23067 −0.105982 −0.0529912 0.998595i \(-0.516876\pi\)
−0.0529912 + 0.998595i \(0.516876\pi\)
\(444\) −0.725176 + 0.194310i −0.0344153 + 0.00922156i
\(445\) 7.06688 12.2402i 0.335002 0.580241i
\(446\) 16.0641 + 27.8239i 0.760658 + 1.31750i
\(447\) −6.59996 6.59996i −0.312167 0.312167i
\(448\) −10.4553 19.4311i −0.493967 0.918034i
\(449\) 10.0883 37.6500i 0.476096 1.77682i −0.141088 0.989997i \(-0.545060\pi\)
0.617184 0.786819i \(-0.288273\pi\)
\(450\) −5.84573 5.84573i −0.275570 0.275570i
\(451\) 14.6877 8.47994i 0.691616 0.399305i
\(452\) −0.0524641 0.0302901i −0.00246770 0.00142473i
\(453\) 3.74823 + 13.9886i 0.176107 + 0.657242i
\(454\) 14.3906 0.675387
\(455\) 24.4238 + 12.3664i 1.14500 + 0.579744i
\(456\) 19.1090 0.894862
\(457\) 5.96003 + 22.2431i 0.278798 + 1.04049i 0.953253 + 0.302174i \(0.0977122\pi\)
−0.674455 + 0.738316i \(0.735621\pi\)
\(458\) 2.30600 + 1.33137i 0.107752 + 0.0622107i
\(459\) −18.9067 + 10.9158i −0.882490 + 0.509506i
\(460\) 1.49314 + 1.49314i 0.0696182 + 0.0696182i
\(461\) −7.81461 + 29.1645i −0.363962 + 1.35833i 0.504859 + 0.863202i \(0.331544\pi\)
−0.868822 + 0.495125i \(0.835122\pi\)
\(462\) 2.64973 + 4.92451i 0.123277 + 0.229109i
\(463\) 2.19856 + 2.19856i 0.102176 + 0.102176i 0.756347 0.654171i \(-0.226982\pi\)
−0.654171 + 0.756347i \(0.726982\pi\)
\(464\) 1.67901 + 2.90812i 0.0779459 + 0.135006i
\(465\) −1.41137 + 2.44457i −0.0654509 + 0.113364i
\(466\) −11.4621 + 3.07126i −0.530971 + 0.142273i
\(467\) 21.1712 0.979688 0.489844 0.871810i \(-0.337054\pi\)
0.489844 + 0.871810i \(0.337054\pi\)
\(468\) 0.479694 + 0.404478i 0.0221739 + 0.0186970i
\(469\) −1.86907 1.98456i −0.0863055 0.0916384i
\(470\) 3.20394 + 11.9573i 0.147787 + 0.551547i
\(471\) −3.63416 + 6.29455i −0.167453 + 0.290038i
\(472\) 8.46043 + 14.6539i 0.389423 + 0.674500i
\(473\) 0.944158 0.944158i 0.0434125 0.0434125i
\(474\) 3.61259 13.4824i 0.165932 0.619266i
\(475\) −19.2702 5.16343i −0.884176 0.236914i
\(476\) 1.04400 + 0.0312888i 0.0478518 + 0.00143412i
\(477\) −2.33634 4.04666i −0.106974 0.185284i
\(478\) 10.9086 + 6.29809i 0.498948 + 0.288068i
\(479\) −6.21539 23.1962i −0.283988 1.05986i −0.949575 0.313539i \(-0.898485\pi\)
0.665587 0.746320i \(-0.268181\pi\)
\(480\) 1.63519i 0.0746357i
\(481\) 26.7545 2.27600i 1.21990 0.103777i
\(482\) 6.02432i 0.274400i
\(483\) −18.8802 11.6682i −0.859079 0.530922i
\(484\) −0.421303 + 0.729719i −0.0191501 + 0.0331690i
\(485\) 22.8302 13.1810i 1.03666 0.598518i
\(486\) 15.2055 + 15.2055i 0.689736 + 0.689736i
\(487\) 32.9158 + 8.81975i 1.49156 + 0.399661i 0.910262 0.414032i \(-0.135880\pi\)
0.581294 + 0.813694i \(0.302547\pi\)
\(488\) −0.238498 0.0639053i −0.0107963 0.00289286i
\(489\) −8.28165 + 8.28165i −0.374509 + 0.374509i
\(490\) −12.4035 24.8053i −0.560335 1.12059i
\(491\) 12.2688 + 7.08337i 0.553681 + 0.319668i 0.750605 0.660751i \(-0.229762\pi\)
−0.196924 + 0.980419i \(0.563095\pi\)
\(492\) 1.15645 0.309869i 0.0521367 0.0139700i
\(493\) −3.70687 −0.166949
\(494\) −30.2114 5.40191i −1.35927 0.243043i
\(495\) 7.58451i 0.340898i
\(496\) −3.37039 + 0.903094i −0.151335 + 0.0405501i
\(497\) −7.46414 + 1.76216i −0.334812 + 0.0790436i
\(498\) −2.79228 + 1.61213i −0.125125 + 0.0722411i
\(499\) −21.0854 + 21.0854i −0.943912 + 0.943912i −0.998509 0.0545964i \(-0.982613\pi\)
0.0545964 + 0.998509i \(0.482613\pi\)
\(500\) 0.123227 0.459891i 0.00551090 0.0205670i
\(501\) 5.05358 18.8602i 0.225777 0.842613i
\(502\) −4.45059 + 4.45059i −0.198640 + 0.198640i
\(503\) −11.8147 + 6.82122i −0.526791 + 0.304143i −0.739709 0.672927i \(-0.765037\pi\)
0.212918 + 0.977070i \(0.431703\pi\)
\(504\) −3.25243 13.7766i −0.144875 0.613659i
\(505\) −18.1560 + 4.86488i −0.807930 + 0.216484i
\(506\) 15.4272i 0.685821i
\(507\) 8.90708 + 10.7192i 0.395577 + 0.476055i
\(508\) −1.53408 −0.0680638
\(509\) −2.57869 + 0.690957i −0.114298 + 0.0306261i −0.315515 0.948921i \(-0.602177\pi\)
0.201216 + 0.979547i \(0.435511\pi\)
\(510\) −15.4426 8.91581i −0.683812 0.394799i
\(511\) 2.16786 7.21824i 0.0959005 0.319316i
\(512\) 16.9779 16.9779i 0.750326 0.750326i
\(513\) 30.9701 + 8.29842i 1.36736 + 0.366384i
\(514\) −11.5127 3.08483i −0.507806 0.136066i
\(515\) 19.9991 + 19.9991i 0.881264 + 0.881264i
\(516\) 0.0816301 0.0471292i 0.00359357 0.00207475i
\(517\) −2.23099 + 3.86419i −0.0981190 + 0.169947i
\(518\) −23.1394 14.3005i −1.01669 0.628328i
\(519\) 21.6045i 0.948331i
\(520\) −5.26509 + 29.4462i −0.230889 + 1.29130i
\(521\) 15.5467i 0.681111i 0.940224 + 0.340556i \(0.110615\pi\)
−0.940224 + 0.340556i \(0.889385\pi\)
\(522\) 0.583887 + 2.17910i 0.0255561 + 0.0953765i
\(523\) 0.102601 + 0.0592367i 0.00448643 + 0.00259024i 0.502242 0.864727i \(-0.332509\pi\)
−0.497755 + 0.867318i \(0.665842\pi\)
\(524\) −0.110622 0.191603i −0.00483255 0.00837022i
\(525\) 0.274935 9.17367i 0.0119991 0.400372i
\(526\) −17.4197 4.66758i −0.759533 0.203516i
\(527\) 0.996915 3.72054i 0.0434263 0.162069i
\(528\) −4.11710 + 4.11710i −0.179174 + 0.179174i
\(529\) 19.1147 + 33.1077i 0.831075 + 1.43946i
\(530\) 5.00166 8.66313i 0.217258 0.376302i
\(531\) 2.80354 + 10.4630i 0.121663 + 0.454053i
\(532\) −1.05168 1.11667i −0.0455963 0.0484138i
\(533\) −42.6658 + 3.62957i −1.84806 + 0.157214i
\(534\) −7.28932 −0.315440
\(535\) −29.3654 + 7.86844i −1.26958 + 0.340182i
\(536\) 1.48940 2.57972i 0.0643324 0.111427i
\(537\) −8.86181 15.3491i −0.382415 0.662362i
\(538\) −12.2592 12.2592i −0.528534 0.528534i
\(539\) 3.16088 9.48357i 0.136149 0.408486i
\(540\) 0.363209 1.35551i 0.0156300 0.0583320i
\(541\) −3.27270 3.27270i −0.140705 0.140705i 0.633246 0.773951i \(-0.281722\pi\)
−0.773951 + 0.633246i \(0.781722\pi\)
\(542\) −5.51652 + 3.18496i −0.236955 + 0.136806i
\(543\) −12.7100 7.33814i −0.545440 0.314910i
\(544\) 0.577501 + 2.15526i 0.0247602 + 0.0924062i
\(545\) 47.3589 2.02863
\(546\) −0.774799 14.0976i −0.0331584 0.603322i
\(547\) 29.4860 1.26073 0.630365 0.776299i \(-0.282905\pi\)
0.630365 + 0.776299i \(0.282905\pi\)
\(548\) −0.252800 0.943461i −0.0107991 0.0403026i
\(549\) −0.136886 0.0790313i −0.00584216 0.00337297i
\(550\) 5.52463 3.18965i 0.235571 0.136007i
\(551\) 3.84951 + 3.84951i 0.163995 + 0.163995i
\(552\) 6.27682 23.4254i 0.267159 0.997052i
\(553\) −21.9724 + 11.8227i −0.934363 + 0.502753i
\(554\) 1.63267 + 1.63267i 0.0693657 + 0.0693657i
\(555\) −11.4560 19.8424i −0.486280 0.842262i
\(556\) −0.289482 + 0.501398i −0.0122768 + 0.0212640i
\(557\) −1.31037 + 0.351113i −0.0555222 + 0.0148771i −0.286473 0.958088i \(-0.592483\pi\)
0.230951 + 0.972965i \(0.425816\pi\)
\(558\) −2.34416 −0.0992363
\(559\) −3.17064 + 1.14541i −0.134104 + 0.0484455i
\(560\) 21.0208 19.7975i 0.888293 0.836598i
\(561\) −1.66352 6.20834i −0.0702338 0.262116i
\(562\) −13.5946 + 23.5465i −0.573453 + 0.993249i
\(563\) 16.4050 + 28.4143i 0.691388 + 1.19752i 0.971383 + 0.237517i \(0.0763337\pi\)
−0.279995 + 0.960001i \(0.590333\pi\)
\(564\) −0.222727 + 0.222727i −0.00937851 + 0.00937851i
\(565\) 0.478510 1.78582i 0.0201311 0.0751302i
\(566\) −43.9982 11.7893i −1.84938 0.495541i
\(567\) −0.00182262 + 0.0608148i −7.65428e−5 + 0.00255398i
\(568\) −4.19005 7.25739i −0.175811 0.304513i
\(569\) −25.8745 14.9387i −1.08472 0.626261i −0.152552 0.988296i \(-0.548749\pi\)
−0.932165 + 0.362034i \(0.882082\pi\)
\(570\) 6.77799 + 25.2958i 0.283899 + 1.05952i
\(571\) 0.740021i 0.0309689i −0.999880 0.0154844i \(-0.995071\pi\)
0.999880 0.0154844i \(-0.00492905\pi\)
\(572\) −0.397282 + 0.276761i −0.0166112 + 0.0115719i
\(573\) 8.73616i 0.364958i
\(574\) 36.9008 + 22.8052i 1.54021 + 0.951872i
\(575\) −12.6595 + 21.9269i −0.527938 + 0.914416i
\(576\) 13.3667 7.71724i 0.556944 0.321552i
\(577\) −24.1189 24.1189i −1.00408 1.00408i −0.999992 0.00409020i \(-0.998698\pi\)
−0.00409020 0.999992i \(-0.501302\pi\)
\(578\) 0.833116 + 0.223233i 0.0346531 + 0.00928526i
\(579\) −27.7392 7.43269i −1.15280 0.308892i
\(580\) 0.168487 0.168487i 0.00699605 0.00699605i
\(581\) 5.52008 + 1.65785i 0.229012 + 0.0687793i
\(582\) −11.7744 6.79795i −0.488064 0.281784i
\(583\) 3.48280 0.933213i 0.144243 0.0386498i
\(584\) 8.23524 0.340777
\(585\) −8.13446 + 17.3356i −0.336318 + 0.716739i
\(586\) 30.3177i 1.25241i
\(587\) −11.9740 + 3.20842i −0.494219 + 0.132426i −0.497316 0.867569i \(-0.665681\pi\)
0.00309648 + 0.999995i \(0.499014\pi\)
\(588\) 0.388804 0.588908i 0.0160340 0.0242861i
\(589\) −4.89899 + 2.82843i −0.201859 + 0.116543i
\(590\) −16.3973 + 16.3973i −0.675068 + 0.675068i
\(591\) −5.11412 + 19.0861i −0.210367 + 0.785099i
\(592\) 7.33034 27.3572i 0.301275 1.12437i
\(593\) 16.1631 16.1631i 0.663739 0.663739i −0.292520 0.956259i \(-0.594494\pi\)
0.956259 + 0.292520i \(0.0944938\pi\)
\(594\) −8.87892 + 5.12625i −0.364307 + 0.210333i
\(595\) 7.32400 + 31.0229i 0.300255 + 1.27182i
\(596\) −0.790795 + 0.211893i −0.0323922 + 0.00867948i
\(597\) 13.6277i 0.557743i
\(598\) −16.5458 + 35.2612i −0.676607 + 1.44194i
\(599\) 2.49403 0.101903 0.0509516 0.998701i \(-0.483775\pi\)
0.0509516 + 0.998701i \(0.483775\pi\)
\(600\) 9.68666 2.59553i 0.395456 0.105962i
\(601\) 18.5873 + 10.7314i 0.758193 + 0.437743i 0.828647 0.559772i \(-0.189111\pi\)
−0.0704537 + 0.997515i \(0.522445\pi\)
\(602\) 3.27089 + 0.982348i 0.133311 + 0.0400375i
\(603\) 1.34839 1.34839i 0.0549106 0.0549106i
\(604\) 1.22698 + 0.328769i 0.0499252 + 0.0133774i
\(605\) −24.8389 6.65556i −1.00984 0.270587i
\(606\) 6.85473 + 6.85473i 0.278454 + 0.278454i
\(607\) −13.8907 + 8.01981i −0.563807 + 0.325514i −0.754672 0.656102i \(-0.772204\pi\)
0.190865 + 0.981616i \(0.438871\pi\)
\(608\) 1.63848 2.83793i 0.0664490 0.115093i
\(609\) −1.31665 + 2.13045i −0.0533533 + 0.0863303i
\(610\) 0.338382i 0.0137007i
\(611\) 9.24368 6.43947i 0.373959 0.260513i
\(612\) 0.730596i 0.0295326i
\(613\) −1.78927 6.67764i −0.0722679 0.269707i 0.920332 0.391138i \(-0.127918\pi\)
−0.992600 + 0.121431i \(0.961252\pi\)
\(614\) −23.3054 13.4554i −0.940530 0.543015i
\(615\) 18.2691 + 31.6429i 0.736680 + 1.27597i
\(616\) 10.9180 + 0.327213i 0.439899 + 0.0131838i
\(617\) 26.9254 + 7.21463i 1.08397 + 0.290450i 0.756223 0.654314i \(-0.227043\pi\)
0.327751 + 0.944764i \(0.393709\pi\)
\(618\) 3.77529 14.0896i 0.151864 0.566766i
\(619\) −9.80302 + 9.80302i −0.394017 + 0.394017i −0.876116 0.482100i \(-0.839874\pi\)
0.482100 + 0.876116i \(0.339874\pi\)
\(620\) 0.123796 + 0.214421i 0.00497177 + 0.00861136i
\(621\) 20.3458 35.2399i 0.816448 1.41413i
\(622\) 9.22831 + 34.4405i 0.370022 + 1.38094i
\(623\) 8.93371 + 9.48575i 0.357922 + 0.380038i
\(624\) 13.8259 4.99466i 0.553480 0.199947i
\(625\) 30.7088 1.22835
\(626\) 38.2271 10.2429i 1.52786 0.409390i
\(627\) −4.71971 + 8.17478i −0.188487 + 0.326469i
\(628\) 0.318763 + 0.552115i 0.0127200 + 0.0220318i
\(629\) 22.1074 + 22.1074i 0.881480 + 0.881480i
\(630\) 17.0833 9.19202i 0.680616 0.366219i
\(631\) 6.69536 24.9874i 0.266538 0.994733i −0.694764 0.719237i \(-0.744491\pi\)
0.961302 0.275496i \(-0.0888419\pi\)
\(632\) −19.2783 19.2783i −0.766851 0.766851i
\(633\) −4.20506 + 2.42779i −0.167136 + 0.0964961i
\(634\) −14.9047 8.60525i −0.591943 0.341758i
\(635\) −12.1174 45.2226i −0.480863 1.79460i
\(636\) 0.254533 0.0100929
\(637\) −17.3959 + 18.2861i −0.689251 + 0.724523i
\(638\) −1.74081 −0.0689193
\(639\) −1.38846 5.18181i −0.0549267 0.204989i
\(640\) 25.9736 + 14.9959i 1.02670 + 0.592764i
\(641\) −10.8902 + 6.28745i −0.430136 + 0.248339i −0.699405 0.714726i \(-0.746551\pi\)
0.269269 + 0.963065i \(0.413218\pi\)
\(642\) 11.0868 + 11.0868i 0.437562 + 0.437562i
\(643\) 6.40174 23.8916i 0.252460 0.942193i −0.717026 0.697046i \(-0.754497\pi\)
0.969486 0.245147i \(-0.0788361\pi\)
\(644\) −1.71436 + 0.922445i −0.0675552 + 0.0363494i
\(645\) 2.03408 + 2.03408i 0.0800919 + 0.0800919i
\(646\) −17.8675 30.9474i −0.702988 1.21761i
\(647\) −17.3117 + 29.9848i −0.680595 + 1.17883i 0.294205 + 0.955742i \(0.404945\pi\)
−0.974800 + 0.223083i \(0.928388\pi\)
\(648\) −0.0642155 + 0.0172065i −0.00252262 + 0.000675935i
\(649\) −8.35852 −0.328100
\(650\) −16.0483 + 1.36523i −0.629468 + 0.0535487i
\(651\) −1.78421 1.89446i −0.0699288 0.0742498i
\(652\) 0.265884 + 0.992293i 0.0104128 + 0.0388612i
\(653\) 13.7001 23.7293i 0.536127 0.928600i −0.462980 0.886368i \(-0.653220\pi\)
0.999108 0.0422314i \(-0.0134467\pi\)
\(654\) −12.2124 21.1525i −0.477543 0.827129i
\(655\) 4.77442 4.77442i 0.186552 0.186552i
\(656\) −11.6898 + 43.6269i −0.456410 + 1.70335i
\(657\) 5.09224 + 1.36446i 0.198667 + 0.0532327i
\(658\) −11.4075 0.341884i −0.444712 0.0133280i
\(659\) 2.14617 + 3.71728i 0.0836031 + 0.144805i 0.904795 0.425847i \(-0.140024\pi\)
−0.821192 + 0.570652i \(0.806691\pi\)
\(660\) 0.357797 + 0.206574i 0.0139272 + 0.00804090i
\(661\) 3.93734 + 14.6944i 0.153145 + 0.571544i 0.999257 + 0.0385395i \(0.0122705\pi\)
−0.846112 + 0.533005i \(0.821063\pi\)
\(662\) 41.3515i 1.60717i
\(663\) −2.85626 + 15.9743i −0.110928 + 0.620390i
\(664\) 6.29783i 0.244403i
\(665\) 24.6109 39.8226i 0.954370 1.54425i
\(666\) 9.51367 16.4782i 0.368647 0.638516i
\(667\) 5.98352 3.45459i 0.231683 0.133762i
\(668\) −1.21102 1.21102i −0.0468559 0.0468559i
\(669\) −24.0988 6.45725i −0.931713 0.249652i
\(670\) 3.94323 + 1.05658i 0.152340 + 0.0408194i
\(671\) 0.0862447 0.0862447i 0.00332944 0.00332944i
\(672\) 1.44382 + 0.433624i 0.0556966 + 0.0167274i
\(673\) 26.3013 + 15.1851i 1.01384 + 0.585341i 0.912314 0.409492i \(-0.134294\pi\)
0.101526 + 0.994833i \(0.467627\pi\)
\(674\) 17.9229 4.80243i 0.690365 0.184983i
\(675\) 16.8264 0.647648
\(676\) 1.20488 0.206492i 0.0463415 0.00794200i
\(677\) 36.6725i 1.40944i −0.709486 0.704720i \(-0.751073\pi\)
0.709486 0.704720i \(-0.248927\pi\)
\(678\) −0.921018 + 0.246786i −0.0353715 + 0.00947776i
\(679\) 5.58425 + 23.6537i 0.214304 + 0.907747i
\(680\) −30.1636 + 17.4150i −1.15672 + 0.667834i
\(681\) −7.90187 + 7.90187i −0.302800 + 0.302800i
\(682\) 0.468169 1.74723i 0.0179271 0.0669049i
\(683\) 4.14330 15.4630i 0.158539 0.591676i −0.840237 0.542219i \(-0.817584\pi\)
0.998776 0.0494567i \(-0.0157490\pi\)
\(684\) 0.758710 0.758710i 0.0290100 0.0290100i
\(685\) 25.8151 14.9044i 0.986346 0.569467i
\(686\) 25.1916 4.37401i 0.961818 0.167001i
\(687\) −1.99727 + 0.535166i −0.0762005 + 0.0204179i
\(688\) 3.55589i 0.135567i
\(689\) −8.96137 1.60233i −0.341401 0.0610438i
\(690\) 33.2361 1.26528
\(691\) −17.4509 + 4.67596i −0.663864 + 0.177882i −0.574989 0.818161i \(-0.694994\pi\)
−0.0888748 + 0.996043i \(0.528327\pi\)
\(692\) 1.64111 + 0.947497i 0.0623858 + 0.0360184i
\(693\) 6.69690 + 2.01129i 0.254394 + 0.0764025i
\(694\) 14.1538 14.1538i 0.537270 0.537270i
\(695\) −17.0671 4.57311i −0.647391 0.173468i
\(696\) −2.64334 0.708280i −0.100195 0.0268473i
\(697\) −35.2550 35.2550i −1.33538 1.33538i
\(698\) 26.2487 15.1547i 0.993530 0.573615i
\(699\) 4.60738 7.98022i 0.174267 0.301840i
\(700\) −0.684790 0.423210i −0.0258826 0.0159958i
\(701\) 37.6363i 1.42150i −0.703444 0.710751i \(-0.748355\pi\)
0.703444 0.710751i \(-0.251645\pi\)
\(702\) 25.7921 2.19413i 0.973461 0.0828122i
\(703\) 45.9162i 1.73176i
\(704\) 3.08253 + 11.5042i 0.116177 + 0.433579i
\(705\) −8.32497 4.80642i −0.313537 0.181020i
\(706\) −7.97086 13.8059i −0.299987 0.519593i
\(707\) 0.519119 17.3213i 0.0195235 0.651434i
\(708\) −0.569945 0.152716i −0.0214198 0.00573943i
\(709\) −2.98398 + 11.1364i −0.112066 + 0.418235i −0.999051 0.0435634i \(-0.986129\pi\)
0.886985 + 0.461798i \(0.152796\pi\)
\(710\) 8.12084 8.12084i 0.304770 0.304770i
\(711\) −8.72655 15.1148i −0.327271 0.566850i
\(712\) −7.11900 + 12.3305i −0.266796 + 0.462104i
\(713\) 1.85813 + 6.93465i 0.0695876 + 0.259705i
\(714\) 11.9675 11.2711i 0.447874 0.421809i
\(715\) −11.2966 9.52526i −0.422468 0.356225i
\(716\) −1.55459 −0.0580978
\(717\) −9.44815 + 2.53162i −0.352848 + 0.0945452i
\(718\) −0.616005 + 1.06695i −0.0229891 + 0.0398183i
\(719\) −23.0965 40.0043i −0.861355 1.49191i −0.870622 0.491953i \(-0.836283\pi\)
0.00926691 0.999957i \(-0.497050\pi\)
\(720\) 14.2824 + 14.2824i 0.532273 + 0.532273i
\(721\) −22.9620 + 12.3552i −0.855149 + 0.460130i
\(722\) −6.79424 + 25.3564i −0.252855 + 0.943669i
\(723\) 3.30794 + 3.30794i 0.123024 + 0.123024i
\(724\) −1.11484 + 0.643651i −0.0414325 + 0.0239211i
\(725\) 2.47425 + 1.42851i 0.0918913 + 0.0530534i
\(726\) 3.43253 + 12.8104i 0.127393 + 0.475438i
\(727\) −3.27502 −0.121464 −0.0607318 0.998154i \(-0.519343\pi\)
−0.0607318 + 0.998154i \(0.519343\pi\)
\(728\) −24.6039 12.4576i −0.911882 0.461708i
\(729\) −16.7676 −0.621022
\(730\) 2.92105 + 10.9015i 0.108113 + 0.403483i
\(731\) −3.39941 1.96265i −0.125732 0.0725913i
\(732\) 0.00745656 0.00430505i 0.000275602 0.000159119i
\(733\) 23.8639 + 23.8639i 0.881432 + 0.881432i 0.993680 0.112248i \(-0.0358052\pi\)
−0.112248 + 0.993680i \(0.535805\pi\)
\(734\) 5.17148 19.3002i 0.190883 0.712384i
\(735\) 20.4313 + 6.80976i 0.753619 + 0.251182i
\(736\) −2.94077 2.94077i −0.108398 0.108398i
\(737\) 0.735730 + 1.27432i 0.0271010 + 0.0469403i
\(738\) −15.1716 + 26.2780i −0.558474 + 0.967306i
\(739\) 2.04383 0.547643i 0.0751836 0.0201454i −0.221031 0.975267i \(-0.570942\pi\)
0.296215 + 0.955121i \(0.404276\pi\)
\(740\) −2.00968 −0.0738774
\(741\) 19.5552 13.6228i 0.718377 0.500447i
\(742\) 6.32293 + 6.71364i 0.232122 + 0.246465i
\(743\) −7.14174 26.6533i −0.262005 0.977816i −0.964058 0.265692i \(-0.914400\pi\)
0.702053 0.712125i \(-0.252267\pi\)
\(744\) 1.42178 2.46260i 0.0521251 0.0902834i
\(745\) −12.4926 21.6379i −0.457695 0.792751i
\(746\) −20.4291 + 20.4291i −0.747961 + 0.747961i
\(747\) −1.04346 + 3.89424i −0.0381781 + 0.142483i
\(748\) −0.544552 0.145912i −0.0199108 0.00533508i
\(749\) 0.839621 28.0154i 0.0306791 1.02366i
\(750\) −3.74692 6.48986i −0.136818 0.236976i
\(751\) −6.52544 3.76747i −0.238117 0.137477i 0.376194 0.926541i \(-0.377233\pi\)
−0.614311 + 0.789064i \(0.710566\pi\)
\(752\) −3.07548 11.4778i −0.112151 0.418554i
\(753\) 4.88762i 0.178115i
\(754\) 3.97890 + 1.86703i 0.144903 + 0.0679934i
\(755\) 38.7667i 1.41086i
\(756\) 1.10056 + 0.680162i 0.0400270 + 0.0247373i
\(757\) −21.0971 + 36.5412i −0.766786 + 1.32811i 0.172512 + 0.985007i \(0.444812\pi\)
−0.939297 + 0.343104i \(0.888522\pi\)
\(758\) −25.5516 + 14.7522i −0.928075 + 0.535824i
\(759\) 8.47101 + 8.47101i 0.307478 + 0.307478i
\(760\) 49.4095 + 13.2392i 1.79227 + 0.480237i
\(761\) −1.64757 0.441464i −0.0597243 0.0160031i 0.228833 0.973466i \(-0.426509\pi\)
−0.288557 + 0.957463i \(0.593176\pi\)
\(762\) −17.0736 + 17.0736i −0.618513 + 0.618513i
\(763\) −12.5588 + 41.8165i −0.454659 + 1.51386i
\(764\) 0.663614 + 0.383138i 0.0240087 + 0.0138614i
\(765\) −21.5370 + 5.77082i −0.778671 + 0.208644i
\(766\) −24.7469 −0.894141
\(767\) 19.1047 + 8.96458i 0.689831 + 0.323692i
\(768\) 2.41403i 0.0871089i
\(769\) −3.49612 + 0.936782i −0.126073 + 0.0337812i −0.321304 0.946976i \(-0.604121\pi\)
0.195231 + 0.980757i \(0.437454\pi\)
\(770\) 3.43948 + 14.5689i 0.123950 + 0.525027i
\(771\) 8.01550 4.62775i 0.288671 0.166664i
\(772\) −1.78114 + 1.78114i −0.0641048 + 0.0641048i
\(773\) 6.91718 25.8153i 0.248794 0.928510i −0.722645 0.691219i \(-0.757074\pi\)
0.971439 0.237291i \(-0.0762595\pi\)