Properties

Label 546.2.by.b.115.1
Level $546$
Weight $2$
Character 546.115
Analytic conductor $4.360$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.by (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 115.1
Character \(\chi\) \(=\) 546.115
Dual form 546.2.by.b.19.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 + 0.258819i) q^{2} +1.00000i q^{3} +(0.866025 - 0.500000i) q^{4} +(-4.03777 - 1.08192i) q^{5} +(-0.258819 - 0.965926i) q^{6} +(-0.0127227 - 2.64572i) q^{7} +(-0.707107 + 0.707107i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(-0.965926 + 0.258819i) q^{2} +1.00000i q^{3} +(0.866025 - 0.500000i) q^{4} +(-4.03777 - 1.08192i) q^{5} +(-0.258819 - 0.965926i) q^{6} +(-0.0127227 - 2.64572i) q^{7} +(-0.707107 + 0.707107i) q^{8} -1.00000 q^{9} +4.18021 q^{10} +(-0.447823 + 0.447823i) q^{11} +(0.500000 + 0.866025i) q^{12} +(1.96448 + 3.02338i) q^{13} +(0.697052 + 2.55228i) q^{14} +(1.08192 - 4.03777i) q^{15} +(0.500000 - 0.866025i) q^{16} +(2.95862 + 5.12448i) q^{17} +(0.965926 - 0.258819i) q^{18} +(1.74728 - 1.74728i) q^{19} +(-4.03777 + 1.08192i) q^{20} +(2.64572 - 0.0127227i) q^{21} +(0.316659 - 0.548469i) q^{22} +(4.45906 + 2.57444i) q^{23} +(-0.707107 - 0.707107i) q^{24} +(10.8029 + 6.23707i) q^{25} +(-2.68005 - 2.41192i) q^{26} -1.00000i q^{27} +(-1.33388 - 2.28490i) q^{28} +(-0.692966 - 1.20025i) q^{29} +4.18021i q^{30} +(1.43576 + 5.35833i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(-0.447823 - 0.447823i) q^{33} +(-4.18412 - 4.18412i) q^{34} +(-2.81108 + 10.6966i) q^{35} +(-0.866025 + 0.500000i) q^{36} +(-0.583233 - 2.17666i) q^{37} +(-1.23551 + 2.13997i) q^{38} +(-3.02338 + 1.96448i) q^{39} +(3.62017 - 2.09010i) q^{40} +(1.22233 + 0.327523i) q^{41} +(-2.55228 + 0.697052i) q^{42} +(-2.40764 - 1.39005i) q^{43} +(-0.163915 + 0.611738i) q^{44} +(4.03777 + 1.08192i) q^{45} +(-4.97344 - 1.33263i) q^{46} +(0.859880 - 3.20911i) q^{47} +(0.866025 + 0.500000i) q^{48} +(-6.99968 + 0.0673217i) q^{49} +(-12.0491 - 3.22855i) q^{50} +(-5.12448 + 2.95862i) q^{51} +(3.21298 + 1.63609i) q^{52} +(5.96016 - 10.3233i) q^{53} +(0.258819 + 0.965926i) q^{54} +(2.29272 - 1.32370i) q^{55} +(1.87980 + 1.86181i) q^{56} +(1.74728 + 1.74728i) q^{57} +(0.980002 + 0.980002i) q^{58} +(-3.12406 + 11.6591i) q^{59} +(-1.08192 - 4.03777i) q^{60} +12.3857i q^{61} +(-2.77367 - 4.80415i) q^{62} +(0.0127227 + 2.64572i) q^{63} -1.00000i q^{64} +(-4.66106 - 14.3331i) q^{65} +(0.548469 + 0.316659i) q^{66} +(4.49136 + 4.49136i) q^{67} +(5.12448 + 2.95862i) q^{68} +(-2.57444 + 4.45906i) q^{69} +(-0.0531837 - 11.0597i) q^{70} +(14.8816 - 3.98751i) q^{71} +(0.707107 - 0.707107i) q^{72} +(8.01215 - 2.14685i) q^{73} +(1.12672 + 1.95154i) q^{74} +(-6.23707 + 10.8029i) q^{75} +(0.639550 - 2.38683i) q^{76} +(1.19051 + 1.17912i) q^{77} +(2.41192 - 2.68005i) q^{78} +(-0.213699 - 0.370137i) q^{79} +(-2.95585 + 2.95585i) q^{80} +1.00000 q^{81} -1.26545 q^{82} +(-5.72801 + 5.72801i) q^{83} +(2.28490 - 1.33388i) q^{84} +(-6.40196 - 23.8925i) q^{85} +(2.68538 + 0.719544i) q^{86} +(1.20025 - 0.692966i) q^{87} -0.633318i q^{88} +(-1.62138 + 0.434447i) q^{89} -4.18021 q^{90} +(7.97403 - 5.23592i) q^{91} +5.14888 q^{92} +(-5.35833 + 1.43576i) q^{93} +3.32232i q^{94} +(-8.94554 + 5.16471i) q^{95} +(-0.965926 - 0.258819i) q^{96} +(1.95617 + 7.30052i) q^{97} +(6.74374 - 1.87668i) q^{98} +(0.447823 - 0.447823i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 4q^{7} - 40q^{9} + O(q^{10}) \) \( 40q - 4q^{7} - 40q^{9} - 4q^{11} + 20q^{12} + 4q^{14} + 20q^{16} + 8q^{17} + 8q^{19} - 8q^{21} - 4q^{22} + 24q^{23} + 24q^{25} - 8q^{26} + 4q^{28} - 12q^{29} + 24q^{31} - 4q^{33} + 8q^{34} + 28q^{35} - 8q^{37} - 8q^{38} - 16q^{39} - 20q^{41} - 12q^{42} - 24q^{43} + 8q^{44} - 4q^{46} - 16q^{47} + 4q^{49} - 16q^{50} - 24q^{51} - 4q^{52} - 4q^{53} - 24q^{55} + 12q^{56} + 8q^{57} + 24q^{58} - 12q^{59} - 32q^{62} + 4q^{63} - 4q^{65} - 24q^{67} + 24q^{68} + 8q^{69} + 52q^{70} - 28q^{71} + 108q^{73} + 20q^{74} - 36q^{75} - 4q^{76} + 12q^{77} + 4q^{78} + 40q^{81} - 48q^{82} - 60q^{83} - 8q^{84} - 4q^{85} - 20q^{86} - 36q^{87} - 60q^{89} - 40q^{91} - 16q^{92} - 48q^{95} + 48q^{97} - 8q^{98} + 4q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(1\) \(e\left(\frac{7}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.965926 + 0.258819i −0.683013 + 0.183013i
\(3\) 1.00000i 0.577350i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) −4.03777 1.08192i −1.80575 0.483848i −0.810895 0.585192i \(-0.801019\pi\)
−0.994851 + 0.101343i \(0.967686\pi\)
\(6\) −0.258819 0.965926i −0.105662 0.394338i
\(7\) −0.0127227 2.64572i −0.00480875 0.999988i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) −1.00000 −0.333333
\(10\) 4.18021 1.32190
\(11\) −0.447823 + 0.447823i −0.135024 + 0.135024i −0.771388 0.636365i \(-0.780437\pi\)
0.636365 + 0.771388i \(0.280437\pi\)
\(12\) 0.500000 + 0.866025i 0.144338 + 0.250000i
\(13\) 1.96448 + 3.02338i 0.544848 + 0.838535i
\(14\) 0.697052 + 2.55228i 0.186295 + 0.682125i
\(15\) 1.08192 4.03777i 0.279350 1.04255i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 2.95862 + 5.12448i 0.717570 + 1.24287i 0.961960 + 0.273191i \(0.0880792\pi\)
−0.244389 + 0.969677i \(0.578587\pi\)
\(18\) 0.965926 0.258819i 0.227671 0.0610042i
\(19\) 1.74728 1.74728i 0.400854 0.400854i −0.477680 0.878534i \(-0.658522\pi\)
0.878534 + 0.477680i \(0.158522\pi\)
\(20\) −4.03777 + 1.08192i −0.902873 + 0.241924i
\(21\) 2.64572 0.0127227i 0.577344 0.00277633i
\(22\) 0.316659 0.548469i 0.0675119 0.116934i
\(23\) 4.45906 + 2.57444i 0.929779 + 0.536808i 0.886742 0.462265i \(-0.152963\pi\)
0.0430374 + 0.999073i \(0.486297\pi\)
\(24\) −0.707107 0.707107i −0.144338 0.144338i
\(25\) 10.8029 + 6.23707i 2.16059 + 1.24741i
\(26\) −2.68005 2.41192i −0.525600 0.473016i
\(27\) 1.00000i 0.192450i
\(28\) −1.33388 2.28490i −0.252079 0.431806i
\(29\) −0.692966 1.20025i −0.128681 0.222881i 0.794485 0.607284i \(-0.207741\pi\)
−0.923166 + 0.384402i \(0.874408\pi\)
\(30\) 4.18021i 0.763198i
\(31\) 1.43576 + 5.35833i 0.257870 + 0.962384i 0.966471 + 0.256775i \(0.0826599\pi\)
−0.708601 + 0.705609i \(0.750673\pi\)
\(32\) −0.258819 + 0.965926i −0.0457532 + 0.170753i
\(33\) −0.447823 0.447823i −0.0779560 0.0779560i
\(34\) −4.18412 4.18412i −0.717570 0.717570i
\(35\) −2.81108 + 10.6966i −0.475159 + 1.80805i
\(36\) −0.866025 + 0.500000i −0.144338 + 0.0833333i
\(37\) −0.583233 2.17666i −0.0958830 0.357840i 0.901269 0.433260i \(-0.142637\pi\)
−0.997152 + 0.0754201i \(0.975970\pi\)
\(38\) −1.23551 + 2.13997i −0.200427 + 0.347150i
\(39\) −3.02338 + 1.96448i −0.484128 + 0.314568i
\(40\) 3.62017 2.09010i 0.572399 0.330475i
\(41\) 1.22233 + 0.327523i 0.190896 + 0.0511505i 0.353000 0.935623i \(-0.385161\pi\)
−0.162104 + 0.986774i \(0.551828\pi\)
\(42\) −2.55228 + 0.697052i −0.393825 + 0.107557i
\(43\) −2.40764 1.39005i −0.367162 0.211981i 0.305056 0.952334i \(-0.401325\pi\)
−0.672218 + 0.740353i \(0.734658\pi\)
\(44\) −0.163915 + 0.611738i −0.0247111 + 0.0922230i
\(45\) 4.03777 + 1.08192i 0.601915 + 0.161283i
\(46\) −4.97344 1.33263i −0.733294 0.196485i
\(47\) 0.859880 3.20911i 0.125426 0.468097i −0.874428 0.485155i \(-0.838763\pi\)
0.999855 + 0.0170575i \(0.00542984\pi\)
\(48\) 0.866025 + 0.500000i 0.125000 + 0.0721688i
\(49\) −6.99968 + 0.0673217i −0.999954 + 0.00961738i
\(50\) −12.0491 3.22855i −1.70400 0.456585i
\(51\) −5.12448 + 2.95862i −0.717570 + 0.414289i
\(52\) 3.21298 + 1.63609i 0.445560 + 0.226884i
\(53\) 5.96016 10.3233i 0.818690 1.41801i −0.0879571 0.996124i \(-0.528034\pi\)
0.906647 0.421889i \(-0.138633\pi\)
\(54\) 0.258819 + 0.965926i 0.0352208 + 0.131446i
\(55\) 2.29272 1.32370i 0.309150 0.178488i
\(56\) 1.87980 + 1.86181i 0.251199 + 0.248795i
\(57\) 1.74728 + 1.74728i 0.231433 + 0.231433i
\(58\) 0.980002 + 0.980002i 0.128681 + 0.128681i
\(59\) −3.12406 + 11.6591i −0.406718 + 1.51789i 0.394148 + 0.919047i \(0.371040\pi\)
−0.800866 + 0.598844i \(0.795627\pi\)
\(60\) −1.08192 4.03777i −0.139675 0.521274i
\(61\) 12.3857i 1.58583i 0.609331 + 0.792916i \(0.291438\pi\)
−0.609331 + 0.792916i \(0.708562\pi\)
\(62\) −2.77367 4.80415i −0.352257 0.610127i
\(63\) 0.0127227 + 2.64572i 0.00160292 + 0.333329i
\(64\) 1.00000i 0.125000i
\(65\) −4.66106 14.3331i −0.578133 1.77781i
\(66\) 0.548469 + 0.316659i 0.0675119 + 0.0389780i
\(67\) 4.49136 + 4.49136i 0.548707 + 0.548707i 0.926067 0.377359i \(-0.123168\pi\)
−0.377359 + 0.926067i \(0.623168\pi\)
\(68\) 5.12448 + 2.95862i 0.621434 + 0.358785i
\(69\) −2.57444 + 4.45906i −0.309926 + 0.536808i
\(70\) −0.0531837 11.0597i −0.00635667 1.32188i
\(71\) 14.8816 3.98751i 1.76612 0.473231i 0.778178 0.628044i \(-0.216144\pi\)
0.987944 + 0.154813i \(0.0494776\pi\)
\(72\) 0.707107 0.707107i 0.0833333 0.0833333i
\(73\) 8.01215 2.14685i 0.937752 0.251270i 0.242595 0.970128i \(-0.422002\pi\)
0.695157 + 0.718858i \(0.255335\pi\)
\(74\) 1.12672 + 1.95154i 0.130979 + 0.226862i
\(75\) −6.23707 + 10.8029i −0.720195 + 1.24741i
\(76\) 0.639550 2.38683i 0.0733614 0.273788i
\(77\) 1.19051 + 1.17912i 0.135672 + 0.134373i
\(78\) 2.41192 2.68005i 0.273096 0.303456i
\(79\) −0.213699 0.370137i −0.0240430 0.0416437i 0.853754 0.520677i \(-0.174321\pi\)
−0.877797 + 0.479034i \(0.840987\pi\)
\(80\) −2.95585 + 2.95585i −0.330475 + 0.330475i
\(81\) 1.00000 0.111111
\(82\) −1.26545 −0.139746
\(83\) −5.72801 + 5.72801i −0.628731 + 0.628731i −0.947749 0.319018i \(-0.896647\pi\)
0.319018 + 0.947749i \(0.396647\pi\)
\(84\) 2.28490 1.33388i 0.249303 0.145538i
\(85\) −6.40196 23.8925i −0.694390 2.59150i
\(86\) 2.68538 + 0.719544i 0.289571 + 0.0775904i
\(87\) 1.20025 0.692966i 0.128681 0.0742937i
\(88\) 0.633318i 0.0675119i
\(89\) −1.62138 + 0.434447i −0.171866 + 0.0460513i −0.343726 0.939070i \(-0.611689\pi\)
0.171860 + 0.985121i \(0.445022\pi\)
\(90\) −4.18021 −0.440633
\(91\) 7.97403 5.23592i 0.835905 0.548874i
\(92\) 5.14888 0.536808
\(93\) −5.35833 + 1.43576i −0.555633 + 0.148881i
\(94\) 3.32232i 0.342671i
\(95\) −8.94554 + 5.16471i −0.917793 + 0.529888i
\(96\) −0.965926 0.258819i −0.0985844 0.0264156i
\(97\) 1.95617 + 7.30052i 0.198619 + 0.741256i 0.991300 + 0.131620i \(0.0420178\pi\)
−0.792681 + 0.609636i \(0.791316\pi\)
\(98\) 6.74374 1.87668i 0.681221 0.189573i
\(99\) 0.447823 0.447823i 0.0450079 0.0450079i
\(100\) 12.4741 1.24741
\(101\) 4.20030 0.417946 0.208973 0.977921i \(-0.432988\pi\)
0.208973 + 0.977921i \(0.432988\pi\)
\(102\) 4.18412 4.18412i 0.414289 0.414289i
\(103\) 0.712002 + 1.23322i 0.0701556 + 0.121513i 0.898969 0.438011i \(-0.144317\pi\)
−0.828814 + 0.559525i \(0.810984\pi\)
\(104\) −3.52695 0.748759i −0.345846 0.0734219i
\(105\) −10.6966 2.81108i −1.04388 0.274333i
\(106\) −3.08520 + 11.5141i −0.299661 + 1.11835i
\(107\) 5.47839 9.48886i 0.529616 0.917322i −0.469787 0.882780i \(-0.655669\pi\)
0.999403 0.0345425i \(-0.0109974\pi\)
\(108\) −0.500000 0.866025i −0.0481125 0.0833333i
\(109\) 1.12234 0.300729i 0.107500 0.0288046i −0.204668 0.978831i \(-0.565611\pi\)
0.312168 + 0.950027i \(0.398945\pi\)
\(110\) −1.87200 + 1.87200i −0.178488 + 0.178488i
\(111\) 2.17666 0.583233i 0.206599 0.0553581i
\(112\) −2.29762 1.31184i −0.217105 0.123957i
\(113\) −8.19504 + 14.1942i −0.770925 + 1.33528i 0.166132 + 0.986104i \(0.446872\pi\)
−0.937057 + 0.349177i \(0.886461\pi\)
\(114\) −2.13997 1.23551i −0.200427 0.115717i
\(115\) −15.2193 15.2193i −1.41921 1.41921i
\(116\) −1.20025 0.692966i −0.111441 0.0643403i
\(117\) −1.96448 3.02338i −0.181616 0.279512i
\(118\) 12.0704i 1.11117i
\(119\) 13.5203 7.89288i 1.23940 0.723539i
\(120\) 2.09010 + 3.62017i 0.190800 + 0.330475i
\(121\) 10.5989i 0.963537i
\(122\) −3.20567 11.9637i −0.290227 1.08314i
\(123\) −0.327523 + 1.22233i −0.0295318 + 0.110214i
\(124\) 3.92257 + 3.92257i 0.352257 + 0.352257i
\(125\) −22.0925 22.0925i −1.97601 1.97601i
\(126\) −0.697052 2.55228i −0.0620983 0.227375i
\(127\) 15.9441 9.20531i 1.41481 0.816839i 0.418971 0.908000i \(-0.362391\pi\)
0.995836 + 0.0911603i \(0.0290576\pi\)
\(128\) 0.258819 + 0.965926i 0.0228766 + 0.0853766i
\(129\) 1.39005 2.40764i 0.122387 0.211981i
\(130\) 8.21192 + 12.6384i 0.720233 + 1.10846i
\(131\) 9.34579 5.39580i 0.816546 0.471433i −0.0326781 0.999466i \(-0.510404\pi\)
0.849224 + 0.528033i \(0.177070\pi\)
\(132\) −0.611738 0.163915i −0.0532450 0.0142669i
\(133\) −4.64505 4.60059i −0.402777 0.398922i
\(134\) −5.50077 3.17587i −0.475195 0.274354i
\(135\) −1.08192 + 4.03777i −0.0931166 + 0.347516i
\(136\) −5.71561 1.53149i −0.490110 0.131325i
\(137\) −14.3833 3.85400i −1.22885 0.329269i −0.414718 0.909950i \(-0.636120\pi\)
−0.814131 + 0.580681i \(0.802787\pi\)
\(138\) 1.33263 4.97344i 0.113441 0.423367i
\(139\) −8.18822 4.72747i −0.694516 0.400979i 0.110786 0.993844i \(-0.464663\pi\)
−0.805302 + 0.592865i \(0.797997\pi\)
\(140\) 2.91382 + 10.6691i 0.246263 + 0.901699i
\(141\) 3.20911 + 0.859880i 0.270256 + 0.0724149i
\(142\) −13.3425 + 7.70329i −1.11968 + 0.646445i
\(143\) −2.23368 0.474203i −0.186790 0.0396548i
\(144\) −0.500000 + 0.866025i −0.0416667 + 0.0721688i
\(145\) 1.49946 + 5.59608i 0.124524 + 0.464729i
\(146\) −7.18350 + 4.14740i −0.594511 + 0.343241i
\(147\) −0.0673217 6.99968i −0.00555260 0.577324i
\(148\) −1.59342 1.59342i −0.130979 0.130979i
\(149\) −9.91933 9.91933i −0.812623 0.812623i 0.172403 0.985026i \(-0.444847\pi\)
−0.985026 + 0.172403i \(0.944847\pi\)
\(150\) 3.22855 12.0491i 0.263610 0.983805i
\(151\) 1.90212 + 7.09882i 0.154793 + 0.577694i 0.999123 + 0.0418710i \(0.0133319\pi\)
−0.844330 + 0.535823i \(0.820001\pi\)
\(152\) 2.47103i 0.200427i
\(153\) −2.95862 5.12448i −0.239190 0.414289i
\(154\) −1.45513 0.830813i −0.117257 0.0669488i
\(155\) 23.1891i 1.86259i
\(156\) −1.63609 + 3.21298i −0.130992 + 0.257244i
\(157\) −18.5419 10.7052i −1.47980 0.854365i −0.480065 0.877233i \(-0.659387\pi\)
−0.999738 + 0.0228679i \(0.992720\pi\)
\(158\) 0.302216 + 0.302216i 0.0240430 + 0.0240430i
\(159\) 10.3233 + 5.96016i 0.818690 + 0.472671i
\(160\) 2.09010 3.62017i 0.165237 0.286199i
\(161\) 6.75452 11.8302i 0.532331 0.932350i
\(162\) −0.965926 + 0.258819i −0.0758903 + 0.0203347i
\(163\) −0.157580 + 0.157580i −0.0123426 + 0.0123426i −0.713251 0.700909i \(-0.752778\pi\)
0.700909 + 0.713251i \(0.252778\pi\)
\(164\) 1.22233 0.327523i 0.0954481 0.0255753i
\(165\) 1.32370 + 2.29272i 0.103050 + 0.178488i
\(166\) 4.05032 7.01535i 0.314366 0.544497i
\(167\) −4.93109 + 18.4031i −0.381579 + 1.42407i 0.461909 + 0.886927i \(0.347165\pi\)
−0.843489 + 0.537147i \(0.819502\pi\)
\(168\) −1.86181 + 1.87980i −0.143642 + 0.145030i
\(169\) −5.28167 + 11.8787i −0.406282 + 0.913748i
\(170\) 12.3676 + 21.4214i 0.948555 + 1.64295i
\(171\) −1.74728 + 1.74728i −0.133618 + 0.133618i
\(172\) −2.78010 −0.211981
\(173\) 15.2038 1.15592 0.577962 0.816064i \(-0.303848\pi\)
0.577962 + 0.816064i \(0.303848\pi\)
\(174\) −0.980002 + 0.980002i −0.0742937 + 0.0742937i
\(175\) 16.3641 28.6609i 1.23701 2.16656i
\(176\) 0.163915 + 0.611738i 0.0123555 + 0.0461115i
\(177\) −11.6591 3.12406i −0.876354 0.234818i
\(178\) 1.45369 0.839287i 0.108959 0.0629072i
\(179\) 20.7926i 1.55411i 0.629434 + 0.777054i \(0.283287\pi\)
−0.629434 + 0.777054i \(0.716713\pi\)
\(180\) 4.03777 1.08192i 0.300958 0.0806414i
\(181\) −19.5707 −1.45468 −0.727340 0.686278i \(-0.759243\pi\)
−0.727340 + 0.686278i \(0.759243\pi\)
\(182\) −6.34716 + 7.12134i −0.470483 + 0.527869i
\(183\) −12.3857 −0.915580
\(184\) −4.97344 + 1.33263i −0.366647 + 0.0982427i
\(185\) 9.41985i 0.692561i
\(186\) 4.80415 2.77367i 0.352257 0.203376i
\(187\) −3.61980 0.969922i −0.264706 0.0709278i
\(188\) −0.859880 3.20911i −0.0627132 0.234049i
\(189\) −2.64572 + 0.0127227i −0.192448 + 0.000925443i
\(190\) 7.30400 7.30400i 0.529888 0.529888i
\(191\) 5.27268 0.381518 0.190759 0.981637i \(-0.438905\pi\)
0.190759 + 0.981637i \(0.438905\pi\)
\(192\) 1.00000 0.0721688
\(193\) 9.66089 9.66089i 0.695406 0.695406i −0.268010 0.963416i \(-0.586366\pi\)
0.963416 + 0.268010i \(0.0863660\pi\)
\(194\) −3.77903 6.54547i −0.271319 0.469937i
\(195\) 14.3331 4.66106i 1.02642 0.333785i
\(196\) −6.02824 + 3.55814i −0.430588 + 0.254153i
\(197\) 3.27692 12.2296i 0.233471 0.871325i −0.745362 0.666660i \(-0.767723\pi\)
0.978832 0.204664i \(-0.0656102\pi\)
\(198\) −0.316659 + 0.548469i −0.0225040 + 0.0389780i
\(199\) −2.99838 5.19335i −0.212549 0.368147i 0.739962 0.672648i \(-0.234843\pi\)
−0.952512 + 0.304502i \(0.901510\pi\)
\(200\) −12.0491 + 3.22855i −0.852000 + 0.228293i
\(201\) −4.49136 + 4.49136i −0.316796 + 0.316796i
\(202\) −4.05718 + 1.08712i −0.285462 + 0.0764893i
\(203\) −3.16672 + 1.84866i −0.222260 + 0.129751i
\(204\) −2.95862 + 5.12448i −0.207145 + 0.358785i
\(205\) −4.58115 2.64493i −0.319961 0.184730i
\(206\) −1.00692 1.00692i −0.0701556 0.0701556i
\(207\) −4.45906 2.57444i −0.309926 0.178936i
\(208\) 3.60056 0.189595i 0.249654 0.0131461i
\(209\) 1.56495i 0.108250i
\(210\) 11.0597 0.0531837i 0.763189 0.00367003i
\(211\) 10.5594 + 18.2895i 0.726941 + 1.25910i 0.958170 + 0.286199i \(0.0923918\pi\)
−0.231230 + 0.972899i \(0.574275\pi\)
\(212\) 11.9203i 0.818690i
\(213\) 3.98751 + 14.8816i 0.273220 + 1.01967i
\(214\) −2.83583 + 10.5834i −0.193853 + 0.723469i
\(215\) 8.21758 + 8.21758i 0.560435 + 0.560435i
\(216\) 0.707107 + 0.707107i 0.0481125 + 0.0481125i
\(217\) 14.1584 3.86679i 0.961133 0.262495i
\(218\) −1.00626 + 0.580963i −0.0681524 + 0.0393478i
\(219\) 2.14685 + 8.01215i 0.145071 + 0.541411i
\(220\) 1.32370 2.29272i 0.0892439 0.154575i
\(221\) −9.68112 + 19.0119i −0.651222 + 1.27888i
\(222\) −1.95154 + 1.12672i −0.130979 + 0.0756205i
\(223\) 18.8580 + 5.05298i 1.26282 + 0.338373i 0.827277 0.561794i \(-0.189888\pi\)
0.435547 + 0.900166i \(0.356555\pi\)
\(224\) 2.55886 + 0.672474i 0.170971 + 0.0449315i
\(225\) −10.8029 6.23707i −0.720195 0.415805i
\(226\) 4.24207 15.8316i 0.282178 1.05310i
\(227\) 19.5147 + 5.22895i 1.29524 + 0.347057i 0.839647 0.543133i \(-0.182762\pi\)
0.455589 + 0.890190i \(0.349429\pi\)
\(228\) 2.38683 + 0.639550i 0.158072 + 0.0423552i
\(229\) −0.488972 + 1.82487i −0.0323122 + 0.120591i −0.980198 0.198019i \(-0.936549\pi\)
0.947886 + 0.318610i \(0.103216\pi\)
\(230\) 18.6398 + 10.7617i 1.22907 + 0.709606i
\(231\) −1.17912 + 1.19051i −0.0775803 + 0.0783300i
\(232\) 1.33871 + 0.358706i 0.0878904 + 0.0235502i
\(233\) −0.334379 + 0.193054i −0.0219059 + 0.0126474i −0.510913 0.859632i \(-0.670693\pi\)
0.489007 + 0.872280i \(0.337359\pi\)
\(234\) 2.68005 + 2.41192i 0.175200 + 0.157672i
\(235\) −6.94400 + 12.0274i −0.452976 + 0.784578i
\(236\) 3.12406 + 11.6591i 0.203359 + 0.758945i
\(237\) 0.370137 0.213699i 0.0240430 0.0138812i
\(238\) −11.0168 + 11.1232i −0.714112 + 0.721013i
\(239\) 4.60738 + 4.60738i 0.298027 + 0.298027i 0.840241 0.542214i \(-0.182414\pi\)
−0.542214 + 0.840241i \(0.682414\pi\)
\(240\) −2.95585 2.95585i −0.190800 0.190800i
\(241\) −3.87262 + 14.4528i −0.249457 + 0.930987i 0.721633 + 0.692276i \(0.243392\pi\)
−0.971091 + 0.238712i \(0.923275\pi\)
\(242\) −2.74320 10.2378i −0.176340 0.658108i
\(243\) 1.00000i 0.0641500i
\(244\) 6.19287 + 10.7264i 0.396458 + 0.686685i
\(245\) 28.3359 + 7.30124i 1.81032 + 0.466459i
\(246\) 1.26545i 0.0806823i
\(247\) 8.71519 + 1.85021i 0.554534 + 0.117726i
\(248\) −4.80415 2.77367i −0.305064 0.176129i
\(249\) −5.72801 5.72801i −0.362998 0.362998i
\(250\) 27.0577 + 15.6217i 1.71128 + 0.988006i
\(251\) −7.83244 + 13.5662i −0.494379 + 0.856290i −0.999979 0.00647817i \(-0.997938\pi\)
0.505600 + 0.862768i \(0.331271\pi\)
\(252\) 1.33388 + 2.28490i 0.0840265 + 0.143935i
\(253\) −3.14977 + 0.843978i −0.198024 + 0.0530604i
\(254\) −13.0183 + 13.0183i −0.816839 + 0.816839i
\(255\) 23.8925 6.40196i 1.49620 0.400907i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 14.3488 24.8529i 0.895055 1.55028i 0.0613182 0.998118i \(-0.480470\pi\)
0.833737 0.552162i \(-0.186197\pi\)
\(258\) −0.719544 + 2.68538i −0.0447969 + 0.167184i
\(259\) −5.75140 + 1.57077i −0.357375 + 0.0976026i
\(260\) −11.2032 10.0823i −0.694790 0.625279i
\(261\) 0.692966 + 1.20025i 0.0428935 + 0.0742937i
\(262\) −7.63081 + 7.63081i −0.471433 + 0.471433i
\(263\) 12.0503 0.743056 0.371528 0.928422i \(-0.378834\pi\)
0.371528 + 0.928422i \(0.378834\pi\)
\(264\) 0.633318 0.0389780
\(265\) −35.2347 + 35.2347i −2.16445 + 2.16445i
\(266\) 5.67749 + 3.24160i 0.348110 + 0.198755i
\(267\) −0.434447 1.62138i −0.0265877 0.0992268i
\(268\) 6.13532 + 1.64395i 0.374774 + 0.100420i
\(269\) 1.58759 0.916594i 0.0967969 0.0558857i −0.450820 0.892615i \(-0.648868\pi\)
0.547617 + 0.836729i \(0.315535\pi\)
\(270\) 4.18021i 0.254399i
\(271\) −14.4803 + 3.87999i −0.879616 + 0.235692i −0.670242 0.742143i \(-0.733810\pi\)
−0.209375 + 0.977835i \(0.567143\pi\)
\(272\) 5.91724 0.358785
\(273\) 5.23592 + 7.97403i 0.316892 + 0.482610i
\(274\) 14.8907 0.899580
\(275\) −7.63091 + 2.04470i −0.460161 + 0.123300i
\(276\) 5.14888i 0.309926i
\(277\) −5.04887 + 2.91497i −0.303357 + 0.175143i −0.643950 0.765068i \(-0.722706\pi\)
0.340593 + 0.940211i \(0.389372\pi\)
\(278\) 9.13277 + 2.44712i 0.547747 + 0.146768i
\(279\) −1.43576 5.35833i −0.0859567 0.320795i
\(280\) −5.57589 9.55136i −0.333223 0.570803i
\(281\) −17.7789 + 17.7789i −1.06060 + 1.06060i −0.0625584 + 0.998041i \(0.519926\pi\)
−0.998041 + 0.0625584i \(0.980074\pi\)
\(282\) −3.32232 −0.197841
\(283\) −13.7870 −0.819550 −0.409775 0.912187i \(-0.634393\pi\)
−0.409775 + 0.912187i \(0.634393\pi\)
\(284\) 10.8941 10.8941i 0.646445 0.646445i
\(285\) −5.16471 8.94554i −0.305931 0.529888i
\(286\) 2.28030 0.120074i 0.134837 0.00710013i
\(287\) 0.850983 3.23812i 0.0502319 0.191140i
\(288\) 0.258819 0.965926i 0.0152511 0.0569177i
\(289\) −9.00685 + 15.6003i −0.529815 + 0.917666i
\(290\) −2.89674 5.01730i −0.170103 0.294626i
\(291\) −7.30052 + 1.95617i −0.427964 + 0.114673i
\(292\) 5.86530 5.86530i 0.343241 0.343241i
\(293\) 3.06465 0.821170i 0.179039 0.0479733i −0.168186 0.985755i \(-0.553791\pi\)
0.347224 + 0.937782i \(0.387124\pi\)
\(294\) 1.87668 + 6.74374i 0.109450 + 0.393303i
\(295\) 25.2285 43.6970i 1.46886 2.54414i
\(296\) 1.95154 + 1.12672i 0.113431 + 0.0654893i
\(297\) 0.447823 + 0.447823i 0.0259853 + 0.0259853i
\(298\) 12.1486 + 7.01402i 0.703752 + 0.406311i
\(299\) 0.976204 + 18.5389i 0.0564553 + 1.07213i
\(300\) 12.4741i 0.720195i
\(301\) −3.64706 + 6.38763i −0.210213 + 0.368177i
\(302\) −3.67462 6.36463i −0.211451 0.366243i
\(303\) 4.20030i 0.241301i
\(304\) −0.639550 2.38683i −0.0366807 0.136894i
\(305\) 13.4004 50.0108i 0.767302 2.86361i
\(306\) 4.18412 + 4.18412i 0.239190 + 0.239190i
\(307\) −10.5351 10.5351i −0.601271 0.601271i 0.339378 0.940650i \(-0.389783\pi\)
−0.940650 + 0.339378i \(0.889783\pi\)
\(308\) 1.62057 + 0.425890i 0.0923408 + 0.0242673i
\(309\) −1.23322 + 0.712002i −0.0701556 + 0.0405044i
\(310\) 6.00178 + 22.3989i 0.340878 + 1.27217i
\(311\) 16.6841 28.8977i 0.946069 1.63864i 0.192473 0.981302i \(-0.438349\pi\)
0.753596 0.657338i \(-0.228317\pi\)
\(312\) 0.748759 3.52695i 0.0423901 0.199674i
\(313\) 1.72540 0.996161i 0.0975254 0.0563063i −0.450444 0.892805i \(-0.648734\pi\)
0.547969 + 0.836498i \(0.315401\pi\)
\(314\) 20.6808 + 5.54140i 1.16708 + 0.312719i
\(315\) 2.81108 10.6966i 0.158386 0.602684i
\(316\) −0.370137 0.213699i −0.0208218 0.0120215i
\(317\) 5.48586 20.4735i 0.308116 1.14991i −0.622113 0.782927i \(-0.713726\pi\)
0.930229 0.366979i \(-0.119608\pi\)
\(318\) −11.5141 3.08520i −0.645681 0.173010i
\(319\) 0.847827 + 0.227175i 0.0474692 + 0.0127193i
\(320\) −1.08192 + 4.03777i −0.0604810 + 0.225718i
\(321\) 9.48886 + 5.47839i 0.529616 + 0.305774i
\(322\) −3.46249 + 13.1753i −0.192957 + 0.734230i
\(323\) 14.1234 + 3.78437i 0.785850 + 0.210568i
\(324\) 0.866025 0.500000i 0.0481125 0.0277778i
\(325\) 2.36504 + 44.9140i 0.131189 + 2.49138i
\(326\) 0.111426 0.192995i 0.00617131 0.0106890i
\(327\) 0.300729 + 1.12234i 0.0166303 + 0.0620653i
\(328\) −1.09591 + 0.632726i −0.0605117 + 0.0349364i
\(329\) −8.50136 2.23417i −0.468695 0.123174i
\(330\) −1.87200 1.87200i −0.103050 0.103050i
\(331\) 6.63821 + 6.63821i 0.364869 + 0.364869i 0.865602 0.500733i \(-0.166936\pi\)
−0.500733 + 0.865602i \(0.666936\pi\)
\(332\) −2.09660 + 7.82461i −0.115066 + 0.429431i
\(333\) 0.583233 + 2.17666i 0.0319610 + 0.119280i
\(334\) 19.0523i 1.04249i
\(335\) −13.2758 22.9944i −0.725335 1.25632i
\(336\) 1.31184 2.29762i 0.0715669 0.125346i
\(337\) 15.7627i 0.858648i −0.903151 0.429324i \(-0.858752\pi\)
0.903151 0.429324i \(-0.141248\pi\)
\(338\) 2.02726 12.8410i 0.110269 0.698456i
\(339\) −14.1942 8.19504i −0.770925 0.445094i
\(340\) −17.4905 17.4905i −0.948555 0.948555i
\(341\) −3.04255 1.75662i −0.164763 0.0951262i
\(342\) 1.23551 2.13997i 0.0668090 0.115717i
\(343\) 0.267169 + 18.5183i 0.0144258 + 0.999896i
\(344\) 2.68538 0.719544i 0.144786 0.0387952i
\(345\) 15.2193 15.2193i 0.819382 0.819382i
\(346\) −14.6857 + 3.93503i −0.789510 + 0.211549i
\(347\) −3.44525 5.96735i −0.184951 0.320344i 0.758609 0.651546i \(-0.225879\pi\)
−0.943560 + 0.331202i \(0.892546\pi\)
\(348\) 0.692966 1.20025i 0.0371469 0.0643403i
\(349\) 5.86607 21.8925i 0.314004 1.17188i −0.610910 0.791700i \(-0.709196\pi\)
0.924913 0.380178i \(-0.124137\pi\)
\(350\) −8.38854 + 31.9196i −0.448386 + 1.70618i
\(351\) 3.02338 1.96448i 0.161376 0.104856i
\(352\) −0.316659 0.548469i −0.0168780 0.0292335i
\(353\) −0.656622 + 0.656622i −0.0349484 + 0.0349484i −0.724365 0.689417i \(-0.757867\pi\)
0.689417 + 0.724365i \(0.257867\pi\)
\(354\) 12.0704 0.641536
\(355\) −64.4027 −3.41814
\(356\) −1.18693 + 1.18693i −0.0629072 + 0.0629072i
\(357\) 7.89288 + 13.5203i 0.417735 + 0.715570i
\(358\) −5.38151 20.0841i −0.284422 1.06148i
\(359\) 6.27110 + 1.68034i 0.330976 + 0.0886847i 0.420480 0.907302i \(-0.361862\pi\)
−0.0895044 + 0.995986i \(0.528528\pi\)
\(360\) −3.62017 + 2.09010i −0.190800 + 0.110158i
\(361\) 12.8940i 0.678632i
\(362\) 18.9039 5.06527i 0.993564 0.266225i
\(363\) −10.5989 −0.556298
\(364\) 4.28775 8.52145i 0.224739 0.446646i
\(365\) −34.6740 −1.81492
\(366\) 11.9637 3.20567i 0.625353 0.167563i
\(367\) 26.0077i 1.35759i 0.734328 + 0.678794i \(0.237497\pi\)
−0.734328 + 0.678794i \(0.762503\pi\)
\(368\) 4.45906 2.57444i 0.232445 0.134202i
\(369\) −1.22233 0.327523i −0.0636321 0.0170502i
\(370\) −2.43804 9.09888i −0.126748 0.473028i
\(371\) −27.3884 15.6376i −1.42193 0.811862i
\(372\) −3.92257 + 3.92257i −0.203376 + 0.203376i
\(373\) −25.7204 −1.33175 −0.665876 0.746063i \(-0.731942\pi\)
−0.665876 + 0.746063i \(0.731942\pi\)
\(374\) 3.74749 0.193778
\(375\) 22.0925 22.0925i 1.14085 1.14085i
\(376\) 1.66116 + 2.87721i 0.0856678 + 0.148381i
\(377\) 2.26751 4.45297i 0.116782 0.229339i
\(378\) 2.55228 0.697052i 0.131275 0.0358525i
\(379\) −7.60010 + 28.3640i −0.390391 + 1.45696i 0.439100 + 0.898438i \(0.355297\pi\)
−0.829491 + 0.558520i \(0.811369\pi\)
\(380\) −5.16471 + 8.94554i −0.264944 + 0.458897i
\(381\) 9.20531 + 15.9441i 0.471602 + 0.816839i
\(382\) −5.09302 + 1.36467i −0.260582 + 0.0698226i
\(383\) −8.93303 + 8.93303i −0.456457 + 0.456457i −0.897490 0.441034i \(-0.854612\pi\)
0.441034 + 0.897490i \(0.354612\pi\)
\(384\) −0.965926 + 0.258819i −0.0492922 + 0.0132078i
\(385\) −3.53131 6.04905i −0.179972 0.308288i
\(386\) −6.83128 + 11.8321i −0.347703 + 0.602239i
\(387\) 2.40764 + 1.39005i 0.122387 + 0.0706603i
\(388\) 5.34435 + 5.34435i 0.271319 + 0.271319i
\(389\) 12.5800 + 7.26305i 0.637830 + 0.368251i 0.783778 0.621041i \(-0.213290\pi\)
−0.145948 + 0.989292i \(0.546623\pi\)
\(390\) −12.6384 + 8.21192i −0.639969 + 0.415827i
\(391\) 30.4672i 1.54079i
\(392\) 4.90191 4.99712i 0.247584 0.252393i
\(393\) 5.39580 + 9.34579i 0.272182 + 0.471433i
\(394\) 12.6610i 0.637854i
\(395\) 0.462409 + 1.72573i 0.0232663 + 0.0868311i
\(396\) 0.163915 0.611738i 0.00823703 0.0307410i
\(397\) 3.82079 + 3.82079i 0.191760 + 0.191760i 0.796456 0.604696i \(-0.206705\pi\)
−0.604696 + 0.796456i \(0.706705\pi\)
\(398\) 4.24035 + 4.24035i 0.212549 + 0.212549i
\(399\) 4.60059 4.64505i 0.230318 0.232543i
\(400\) 10.8029 6.23707i 0.540146 0.311854i
\(401\) −1.06062 3.95830i −0.0529650 0.197668i 0.934374 0.356295i \(-0.115960\pi\)
−0.987339 + 0.158627i \(0.949293\pi\)
\(402\) 3.17587 5.50077i 0.158398 0.274354i
\(403\) −13.3798 + 14.8672i −0.666493 + 0.740586i
\(404\) 3.63757 2.10015i 0.180976 0.104486i
\(405\) −4.03777 1.08192i −0.200638 0.0537609i
\(406\) 2.58034 2.60528i 0.128060 0.129298i
\(407\) 1.23594 + 0.713572i 0.0612634 + 0.0353705i
\(408\) 1.53149 5.71561i 0.0758202 0.282965i
\(409\) 0.120382 + 0.0322563i 0.00595252 + 0.00159497i 0.261794 0.965124i \(-0.415686\pi\)
−0.255842 + 0.966719i \(0.582353\pi\)
\(410\) 5.10961 + 1.36911i 0.252345 + 0.0676158i
\(411\) 3.85400 14.3833i 0.190104 0.709477i
\(412\) 1.23322 + 0.712002i 0.0607566 + 0.0350778i
\(413\) 30.8866 + 8.11705i 1.51983 + 0.399414i
\(414\) 4.97344 + 1.33263i 0.244431 + 0.0654951i
\(415\) 29.3256 16.9312i 1.43954 0.831118i
\(416\) −3.42881 + 1.11503i −0.168111 + 0.0546688i
\(417\) 4.72747 8.18822i 0.231505 0.400979i
\(418\) −0.405038 1.51162i −0.0198111 0.0739359i
\(419\) 3.80264 2.19546i 0.185771 0.107255i −0.404230 0.914657i \(-0.632461\pi\)
0.590001 + 0.807402i \(0.299127\pi\)
\(420\) −10.6691 + 2.91382i −0.520596 + 0.142180i
\(421\) −22.1184 22.1184i −1.07799 1.07799i −0.996690 0.0812959i \(-0.974094\pi\)
−0.0812959 0.996690i \(-0.525906\pi\)
\(422\) −14.9333 14.9333i −0.726941 0.726941i
\(423\) −0.859880 + 3.20911i −0.0418088 + 0.156032i
\(424\) 3.08520 + 11.5141i 0.149831 + 0.559176i
\(425\) 73.8125i 3.58043i
\(426\) −7.70329 13.3425i −0.373225 0.646445i
\(427\) 32.7692 0.157581i 1.58581 0.00762586i
\(428\) 10.9568i 0.529616i
\(429\) 0.474203 2.23368i 0.0228947 0.107843i
\(430\) −10.0644 5.81071i −0.485351 0.280217i
\(431\) −8.10063 8.10063i −0.390194 0.390194i 0.484563 0.874756i \(-0.338979\pi\)
−0.874756 + 0.484563i \(0.838979\pi\)
\(432\) −0.866025 0.500000i −0.0416667 0.0240563i
\(433\) 5.94636 10.2994i 0.285764 0.494958i −0.687030 0.726629i \(-0.741086\pi\)
0.972794 + 0.231671i \(0.0744194\pi\)
\(434\) −12.6751 + 7.39949i −0.608426 + 0.355187i
\(435\) −5.59608 + 1.49946i −0.268311 + 0.0718938i
\(436\) 0.821606 0.821606i 0.0393478 0.0393478i
\(437\) 12.2895 3.29297i 0.587887 0.157524i
\(438\) −4.14740 7.18350i −0.198170 0.343241i
\(439\) 4.30988 7.46493i 0.205699 0.356281i −0.744656 0.667448i \(-0.767386\pi\)
0.950355 + 0.311167i \(0.100720\pi\)
\(440\) −0.685198 + 2.55719i −0.0326655 + 0.121909i
\(441\) 6.99968 0.0673217i 0.333318 0.00320579i
\(442\) 4.43059 20.8698i 0.210742 0.992675i
\(443\) −4.22436 7.31680i −0.200705 0.347632i 0.748051 0.663642i \(-0.230990\pi\)
−0.948756 + 0.316010i \(0.897657\pi\)
\(444\) 1.59342 1.59342i 0.0756205 0.0756205i
\(445\) 7.01679 0.332628
\(446\) −19.5232 −0.924451
\(447\) 9.91933 9.91933i 0.469168 0.469168i
\(448\) −2.64572 + 0.0127227i −0.124999 + 0.000601093i
\(449\) −2.32879 8.69115i −0.109902 0.410161i 0.888953 0.457999i \(-0.151434\pi\)
−0.998855 + 0.0478379i \(0.984767\pi\)
\(450\) 12.0491 + 3.22855i 0.568000 + 0.152195i
\(451\) −0.694062 + 0.400717i −0.0326821 + 0.0188690i
\(452\) 16.3901i 0.770925i
\(453\) −7.09882 + 1.90212i −0.333532 + 0.0893696i
\(454\) −20.2031 −0.948178
\(455\) −37.8621 + 12.5142i −1.77500 + 0.586675i
\(456\) −2.47103 −0.115717
\(457\) 17.8938 4.79464i 0.837039 0.224284i 0.185257 0.982690i \(-0.440688\pi\)
0.651782 + 0.758406i \(0.274022\pi\)
\(458\) 1.88924i 0.0882785i
\(459\) 5.12448 2.95862i 0.239190 0.138096i
\(460\) −20.7900 5.57067i −0.969340 0.259734i
\(461\) 10.7940 + 40.2836i 0.502725 + 1.87620i 0.481548 + 0.876420i \(0.340075\pi\)
0.0211769 + 0.999776i \(0.493259\pi\)
\(462\) 0.830813 1.45513i 0.0386529 0.0676986i
\(463\) −12.7149 + 12.7149i −0.590912 + 0.590912i −0.937878 0.346966i \(-0.887212\pi\)
0.346966 + 0.937878i \(0.387212\pi\)
\(464\) −1.38593 −0.0643403
\(465\) 23.1891 1.07537
\(466\) 0.273020 0.273020i 0.0126474 0.0126474i
\(467\) −0.419923 0.727328i −0.0194317 0.0336567i 0.856146 0.516734i \(-0.172852\pi\)
−0.875578 + 0.483077i \(0.839519\pi\)
\(468\) −3.21298 1.63609i −0.148520 0.0756282i
\(469\) 11.8258 11.9400i 0.546062 0.551340i
\(470\) 3.59448 13.4148i 0.165801 0.618777i
\(471\) 10.7052 18.5419i 0.493268 0.854365i
\(472\) −6.03521 10.4533i −0.277793 0.481152i
\(473\) 1.70070 0.455700i 0.0781981 0.0209531i
\(474\) −0.302216 + 0.302216i −0.0138812 + 0.0138812i
\(475\) 29.7737 7.97784i 1.36611 0.366048i
\(476\) 7.76248 13.5956i 0.355793 0.623152i
\(477\) −5.96016 + 10.3233i −0.272897 + 0.472671i
\(478\) −5.64287 3.25791i −0.258099 0.149013i
\(479\) −17.5587 17.5587i −0.802277 0.802277i 0.181174 0.983451i \(-0.442010\pi\)
−0.983451 + 0.181174i \(0.942010\pi\)
\(480\) 3.62017 + 2.09010i 0.165237 + 0.0953998i
\(481\) 5.43511 6.03932i 0.247820 0.275370i
\(482\) 14.9626i 0.681530i
\(483\) 11.8302 + 6.75452i 0.538292 + 0.307341i
\(484\) 5.29945 + 9.17892i 0.240884 + 0.417224i
\(485\) 31.5943i 1.43462i
\(486\) −0.258819 0.965926i −0.0117403 0.0438153i
\(487\) 9.73144 36.3182i 0.440974 1.64574i −0.285380 0.958414i \(-0.592120\pi\)
0.726354 0.687321i \(-0.241213\pi\)
\(488\) −8.75804 8.75804i −0.396458 0.396458i
\(489\) −0.157580 0.157580i −0.00712601 0.00712601i
\(490\) −29.2601 + 0.281419i −1.32184 + 0.0127132i
\(491\) −20.0647 + 11.5844i −0.905507 + 0.522795i −0.878983 0.476853i \(-0.841777\pi\)
−0.0265243 + 0.999648i \(0.508444\pi\)
\(492\) 0.327523 + 1.22233i 0.0147659 + 0.0551070i
\(493\) 4.10044 7.10218i 0.184675 0.319866i
\(494\) −8.89710 + 0.468496i −0.400299 + 0.0210786i
\(495\) −2.29272 + 1.32370i −0.103050 + 0.0594959i
\(496\) 5.35833 + 1.43576i 0.240596 + 0.0644675i
\(497\) −10.7392 39.3218i −0.481718 1.76383i
\(498\) 7.01535 + 4.05032i 0.314366 + 0.181499i
\(499\) 5.12214 19.1161i 0.229299 0.855754i −0.751338 0.659918i \(-0.770591\pi\)
0.980637 0.195836i \(-0.0627422\pi\)
\(500\) −30.1789 8.08641i −1.34964 0.361635i
\(501\) −18.4031 4.93109i −0.822189 0.220305i
\(502\) 4.05437 15.1311i 0.180955 0.675335i
\(503\) 1.87260 + 1.08114i 0.0834949 + 0.0482058i 0.541166 0.840916i \(-0.317983\pi\)
−0.457671 + 0.889121i \(0.651316\pi\)
\(504\) −1.87980 1.86181i −0.0837331 0.0829316i
\(505\) −16.9599 4.54438i −0.754704 0.202222i
\(506\) 2.82400 1.63044i 0.125542 0.0724819i
\(507\) −11.8787 5.28167i −0.527552 0.234567i
\(508\) 9.20531 15.9441i 0.408420 0.707404i
\(509\) 6.78091 + 25.3067i 0.300559 + 1.12170i 0.936702 + 0.350129i \(0.113862\pi\)
−0.636143 + 0.771571i \(0.719471\pi\)
\(510\) −21.4214 + 12.3676i −0.948555 + 0.547649i
\(511\) −5.78190 21.1706i −0.255776 0.936532i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) −1.74728 1.74728i −0.0771444 0.0771444i
\(514\) −7.42750 + 27.7198i −0.327613 + 1.22267i
\(515\) −1.54065 5.74980i −0.0678894 0.253367i
\(516\) 2.78010i 0.122387i
\(517\) 1.05204 + 1.82219i 0.0462688 + 0.0801399i
\(518\) 5.14889 3.00582i 0.226229 0.132068i
\(519\) 15.2038i 0.667373i
\(520\) 13.4309 + 6.83919i 0.588985 + 0.299918i
\(521\) 6.95625 + 4.01619i 0.304759 + 0.175952i 0.644579 0.764538i \(-0.277033\pi\)
−0.339820 + 0.940490i \(0.610366\pi\)
\(522\) −0.980002 0.980002i −0.0428935 0.0428935i
\(523\) −7.14193 4.12339i −0.312295 0.180303i 0.335658 0.941984i \(-0.391041\pi\)
−0.647953 + 0.761680i \(0.724375\pi\)
\(524\) 5.39580 9.34579i 0.235716 0.408273i
\(525\) 28.6609 + 16.3641i 1.25086 + 0.714188i
\(526\) −11.6397 + 3.11886i −0.507516 + 0.135989i
\(527\) −23.2108 + 23.2108i −1.01108 + 1.01108i
\(528\) −0.611738 + 0.163915i −0.0266225 + 0.00713347i
\(529\) 1.75550 + 3.04062i 0.0763261 + 0.132201i
\(530\) 24.9147 43.1535i 1.08223 1.87447i
\(531\) 3.12406 11.6591i 0.135573 0.505963i
\(532\) −6.32303 1.66170i −0.274138 0.0720439i
\(533\) 1.41102 + 4.33899i 0.0611179 + 0.187942i
\(534\) 0.839287 + 1.45369i 0.0363195 + 0.0629072i
\(535\) −32.3867 + 32.3867i −1.40020 + 1.40020i
\(536\) −6.35175 −0.274354
\(537\) −20.7926 −0.897265
\(538\) −1.29626 + 1.29626i −0.0558857 + 0.0558857i
\(539\) 3.10447 3.16477i 0.133719 0.136316i
\(540\) 1.08192 + 4.03777i 0.0465583 + 0.173758i
\(541\) −27.0933 7.25962i −1.16483 0.312116i −0.375937 0.926645i \(-0.622679\pi\)
−0.788894 + 0.614530i \(0.789346\pi\)
\(542\) 12.9827 7.49556i 0.557654 0.321962i
\(543\) 19.5707i 0.839859i
\(544\) −5.71561 + 1.53149i −0.245055 + 0.0656623i
\(545\) −4.85710 −0.208055
\(546\) −7.12134 6.34716i −0.304765 0.271634i
\(547\) 33.9957 1.45355 0.726776 0.686875i \(-0.241018\pi\)
0.726776 + 0.686875i \(0.241018\pi\)
\(548\) −14.3833 + 3.85400i −0.614425 + 0.164635i
\(549\) 12.3857i 0.528610i
\(550\) 6.84169 3.95005i 0.291731 0.168431i
\(551\) −3.30799 0.886372i −0.140925 0.0377607i
\(552\) −1.33263 4.97344i −0.0567205 0.211684i
\(553\) −0.976561 + 0.570096i −0.0415276 + 0.0242430i
\(554\) 4.12239 4.12239i 0.175143 0.175143i
\(555\) −9.41985 −0.399850
\(556\) −9.45494 −0.400979
\(557\) −10.7205 + 10.7205i −0.454240 + 0.454240i −0.896759 0.442519i \(-0.854085\pi\)
0.442519 + 0.896759i \(0.354085\pi\)
\(558\) 2.77367 + 4.80415i 0.117419 + 0.203376i
\(559\) −0.527095 10.0099i −0.0222937 0.423375i
\(560\) 7.85797 + 7.78276i 0.332060 + 0.328882i
\(561\) 0.969922 3.61980i 0.0409502 0.152828i
\(562\) 12.5716 21.7746i 0.530300 0.918506i
\(563\) 9.71160 + 16.8210i 0.409295 + 0.708920i 0.994811 0.101741i \(-0.0324412\pi\)
−0.585516 + 0.810661i \(0.699108\pi\)
\(564\) 3.20911 0.859880i 0.135128 0.0362075i
\(565\) 48.4467 48.4467i 2.03817 2.03817i
\(566\) 13.3172 3.56833i 0.559763 0.149988i
\(567\) −0.0127227 2.64572i −0.000534305 0.111110i
\(568\) −7.70329 + 13.3425i −0.323223 + 0.559838i
\(569\) −38.9709 22.4999i −1.63374 0.943243i −0.982924 0.184012i \(-0.941092\pi\)
−0.650821 0.759231i \(-0.725575\pi\)
\(570\) 7.30400 + 7.30400i 0.305931 + 0.305931i
\(571\) 24.2146 + 13.9803i 1.01335 + 0.585058i 0.912171 0.409810i \(-0.134405\pi\)
0.101180 + 0.994868i \(0.467738\pi\)
\(572\) −2.17152 + 0.706168i −0.0907960 + 0.0295264i
\(573\) 5.27268i 0.220270i
\(574\) 0.0161000 + 3.34803i 0.000672002 + 0.139744i
\(575\) 32.1140 + 55.6230i 1.33924 + 2.31964i
\(576\) 1.00000i 0.0416667i
\(577\) −11.2866 42.1222i −0.469868 1.75357i −0.640224 0.768188i \(-0.721159\pi\)
0.170356 0.985383i \(-0.445508\pi\)
\(578\) 4.66229 17.3999i 0.193926 0.723740i
\(579\) 9.66089 + 9.66089i 0.401493 + 0.401493i
\(580\) 4.09661 + 4.09661i 0.170103 + 0.170103i
\(581\) 15.2276 + 15.0818i 0.631747 + 0.625700i
\(582\) 6.54547 3.77903i 0.271319 0.156646i
\(583\) 1.95391 + 7.29211i 0.0809229 + 0.302008i
\(584\) −4.14740 + 7.18350i −0.171620 + 0.297255i
\(585\) 4.66106 + 14.3331i 0.192711 + 0.592602i
\(586\) −2.74769 + 1.58638i −0.113506 + 0.0655327i
\(587\) 9.26294 + 2.48200i 0.382322 + 0.102443i 0.444861 0.895600i \(-0.353253\pi\)
−0.0625387 + 0.998043i \(0.519920\pi\)
\(588\) −3.55814 6.02824i −0.146735 0.248600i
\(589\) 11.8712 + 6.85383i 0.489144 + 0.282407i
\(590\) −13.0592 + 48.7376i −0.537639 + 2.00650i
\(591\) 12.2296 + 3.27692i 0.503059 + 0.134794i
\(592\) −2.17666 0.583233i −0.0894600 0.0239707i
\(593\) 1.28640 4.80089i 0.0528259 0.197149i −0.934470 0.356042i \(-0.884126\pi\)
0.987296 + 0.158893i \(0.0507926\pi\)
\(594\) −0.548469 0.316659i −0.0225040 0.0129927i
\(595\) −63.1313 + 17.2418i −2.58813 + 0.706844i
\(596\) −13.5501 3.63073i −0.555032 0.148720i
\(597\) 5.19335 2.99838i 0.212549 0.122716i
\(598\) −5.74116 17.6545i −0.234773 0.721947i
\(599\) −11.6073 + 20.1044i −0.474260 + 0.821443i −0.999566 0.0294711i \(-0.990618\pi\)
0.525305 + 0.850914i \(0.323951\pi\)
\(600\) −3.22855 12.0491i −0.131805 0.491902i
\(601\) 29.9917 17.3157i 1.22339 0.706322i 0.257748 0.966212i \(-0.417020\pi\)
0.965638 + 0.259890i \(0.0836862\pi\)
\(602\) 1.86955 7.11391i 0.0761971 0.289941i
\(603\) −4.49136 4.49136i −0.182902 0.182902i
\(604\) 5.19670 + 5.19670i 0.211451 + 0.211451i
\(605\) 11.4671 42.7960i 0.466206 1.73990i
\(606\) −1.08712 4.05718i −0.0441611 0.164812i
\(607\) 37.4675i 1.52076i −0.649479 0.760380i \(-0.725013\pi\)
0.649479 0.760380i \(-0.274987\pi\)
\(608\) 1.23551 + 2.13997i 0.0501067 + 0.0867874i
\(609\) −1.84866 3.16672i −0.0749117 0.128322i
\(610\) 51.7750i 2.09631i
\(611\) 11.3916 3.70448i 0.460854 0.149867i
\(612\) −5.12448 2.95862i −0.207145 0.119595i
\(613\) 8.48376 + 8.48376i 0.342656 + 0.342656i 0.857365 0.514709i \(-0.172100\pi\)
−0.514709 + 0.857365i \(0.672100\pi\)
\(614\) 12.9028 + 7.44946i 0.520716 + 0.300636i
\(615\) 2.64493 4.58115i 0.106654 0.184730i
\(616\) −1.67558 + 0.00805754i −0.0675111 + 0.000324648i
\(617\) −1.90489 + 0.510413i −0.0766879 + 0.0205485i −0.296959 0.954890i \(-0.595972\pi\)
0.220271 + 0.975439i \(0.429306\pi\)
\(618\) 1.00692 1.00692i 0.0405044 0.0405044i
\(619\) 18.6069 4.98570i 0.747874 0.200392i 0.135299 0.990805i \(-0.456800\pi\)
0.612575 + 0.790413i \(0.290134\pi\)
\(620\) −11.5945 20.0823i −0.465648 0.806526i
\(621\) 2.57444 4.45906i 0.103309 0.178936i
\(622\) −8.63633 + 32.2312i −0.346285 + 1.29235i
\(623\) 1.17005 + 4.28419i 0.0468772 + 0.171642i
\(624\) 0.189595 + 3.60056i 0.00758989 + 0.144138i
\(625\) 34.1168 + 59.0920i 1.36467 + 2.36368i
\(626\) −1.40878 + 1.40878i −0.0563063 + 0.0563063i
\(627\) −1.56495 −0.0624980
\(628\) −21.4103 −0.854365
\(629\) 9.42866 9.42866i 0.375945 0.375945i
\(630\) 0.0531837 + 11.0597i 0.00211889 + 0.440628i
\(631\) 8.30437 + 30.9923i 0.330592 + 1.23378i 0.908570 + 0.417733i \(0.137175\pi\)
−0.577978 + 0.816052i \(0.696158\pi\)
\(632\) 0.412834 + 0.110619i 0.0164217 + 0.00440017i
\(633\) −18.2895 + 10.5594i −0.726941 + 0.419699i
\(634\) 21.1957i 0.841790i
\(635\) −74.3379 + 19.9188i −2.95001 + 0.790453i
\(636\) 11.9203 0.472671
\(637\) −13.9542 21.0304i −0.552887 0.833256i
\(638\) −0.877735 −0.0347499
\(639\) −14.8816 + 3.98751i −0.588707 + 0.157744i
\(640\) 4.18021i 0.165237i
\(641\) 29.2441 16.8841i 1.15507 0.666882i 0.204955 0.978771i \(-0.434295\pi\)
0.950118 + 0.311889i \(0.100962\pi\)
\(642\) −10.5834 2.83583i −0.417695 0.111921i
\(643\) 9.13754 + 34.1018i 0.360349 + 1.34484i 0.873617 + 0.486614i \(0.161768\pi\)
−0.513268 + 0.858228i \(0.671565\pi\)
\(644\) −0.0655079 13.6225i −0.00258137 0.536802i
\(645\) −8.21758 + 8.21758i −0.323567 + 0.323567i
\(646\) −14.6217 −0.575282
\(647\) −13.5488 −0.532659 −0.266330 0.963882i \(-0.585811\pi\)
−0.266330 + 0.963882i \(0.585811\pi\)
\(648\) −0.707107 + 0.707107i −0.0277778 + 0.0277778i
\(649\) −3.82221 6.62026i −0.150035 0.259868i
\(650\) −13.9090 42.7714i −0.545557 1.67763i
\(651\) 3.86679 + 14.1584i 0.151552 + 0.554910i
\(652\) −0.0576783 + 0.215258i −0.00225886 + 0.00843016i
\(653\) 1.97187 3.41538i 0.0771652 0.133654i −0.824861 0.565336i \(-0.808746\pi\)
0.902026 + 0.431682i \(0.142080\pi\)
\(654\) −0.580963 1.00626i −0.0227175 0.0393478i
\(655\) −43.5740 + 11.6756i −1.70258 + 0.456204i
\(656\) 0.894810 0.894810i 0.0349364 0.0349364i
\(657\) −8.01215 + 2.14685i −0.312584 + 0.0837566i
\(658\) 8.78993 0.0422690i 0.342667 0.00164782i
\(659\) 2.53663 4.39357i 0.0988130 0.171149i −0.812381 0.583128i \(-0.801829\pi\)
0.911194 + 0.411978i \(0.135162\pi\)
\(660\) 2.29272 + 1.32370i 0.0892439 + 0.0515250i
\(661\) −31.1021 31.1021i −1.20973 1.20973i −0.971113 0.238619i \(-0.923305\pi\)
−0.238619 0.971113i \(-0.576695\pi\)
\(662\) −8.13012 4.69393i −0.315986 0.182435i
\(663\) −19.0119 9.68112i −0.738363 0.375983i
\(664\) 8.10063i 0.314366i
\(665\) 13.7782 + 23.6017i 0.534295 + 0.915234i
\(666\) −1.12672 1.95154i −0.0436595 0.0756205i
\(667\) 7.13600i 0.276307i
\(668\) 4.93109 + 18.4031i 0.190790 + 0.712037i
\(669\) −5.05298 + 18.8580i −0.195360 + 0.729092i
\(670\) 18.7748 + 18.7748i 0.725335 + 0.725335i
\(671\) −5.54662 5.54662i −0.214125 0.214125i
\(672\) −0.672474 + 2.55886i −0.0259412 + 0.0987103i
\(673\) 38.3345 22.1325i 1.47769 0.853144i 0.478006 0.878356i \(-0.341360\pi\)
0.999682 + 0.0252127i \(0.00802631\pi\)
\(674\) 4.07968 + 15.2256i 0.157144 + 0.586468i
\(675\) 6.23707 10.8029i 0.240065 0.415805i
\(676\) 1.36530 + 12.9281i 0.0525115 + 0.497235i
\(677\) −28.1133 + 16.2312i −1.08048 + 0.623818i −0.931027 0.364951i \(-0.881086\pi\)
−0.149457 + 0.988768i \(0.547753\pi\)
\(678\) 15.8316 + 4.24207i 0.608009 + 0.162916i
\(679\) 19.2903 5.26836i 0.740292 0.202181i
\(680\) 21.4214 + 12.3676i 0.821473 + 0.474278i
\(681\) −5.22895 + 19.5147i −0.200374 + 0.747805i
\(682\) 3.39353 + 0.909292i 0.129945 + 0.0348186i
\(683\) 21.4370 + 5.74402i 0.820263 + 0.219789i 0.644462 0.764637i \(-0.277082\pi\)
0.175802 + 0.984426i \(0.443748\pi\)
\(684\) −0.639550 + 2.38683i −0.0244538 + 0.0912628i
\(685\) 53.9068 + 31.1231i 2.05967 + 1.18915i
\(686\) −5.05096 17.8182i −0.192847 0.680302i
\(687\) −1.82487 0.488972i −0.0696230 0.0186554i
\(688\) −2.40764 + 1.39005i −0.0917905 + 0.0529953i
\(689\) 42.9198 2.26004i 1.63512 0.0861005i
\(690\) −10.7617 + 18.6398i −0.409691 + 0.709606i
\(691\) −5.37626 20.0645i −0.204522 0.763288i −0.989595 0.143884i \(-0.954041\pi\)
0.785072 0.619404i \(-0.212626\pi\)
\(692\) 13.1669 7.60190i 0.500530 0.288981i
\(693\) −1.19051 1.17912i −0.0452239 0.0447910i
\(694\) 4.87232 + 4.87232i 0.184951 + 0.184951i
\(695\) 27.9474 + 27.9474i 1.06011 + 1.06011i
\(696\) −0.358706 + 1.33871i −0.0135967 + 0.0507436i
\(697\) 1.93803 + 7.23283i 0.0734082 + 0.273963i
\(698\) 22.6648i 0.857874i
\(699\) −0.193054 0.334379i −0.00730198 0.0126474i
\(700\) −0.158705 33.0031i −0.00599850 1.24740i
\(701\) 14.0967i 0.532426i −0.963914 0.266213i \(-0.914228\pi\)
0.963914 0.266213i \(-0.0857725\pi\)
\(702\) −2.41192 + 2.68005i −0.0910320 + 0.101152i
\(703\) −4.82231 2.78416i −0.181877 0.105007i
\(704\) 0.447823 + 0.447823i 0.0168780 + 0.0168780i
\(705\) −12.0274 6.94400i −0.452976 0.261526i
\(706\) 0.464302 0.804194i 0.0174742 0.0302662i
\(707\) −0.0534394 11.1128i −0.00200979 0.417941i
\(708\) −11.6591 + 3.12406i −0.438177 + 0.117409i
\(709\) 11.3741 11.3741i 0.427165 0.427165i −0.460497 0.887661i \(-0.652329\pi\)
0.887661 + 0.460497i \(0.152329\pi\)
\(710\) 62.2082 16.6686i 2.33463 0.625563i
\(711\) 0.213699 + 0.370137i 0.00801433 + 0.0138812i
\(712\) 0.839287 1.45369i 0.0314536 0.0544793i
\(713\) −7.39256 + 27.5894i −0.276854 + 1.03323i
\(714\) −11.1232 11.0168i −0.416277 0.412292i
\(715\) 8.50604 + 4.33138i 0.318108 + 0.161984i
\(716\) 10.3963 + 18.0069i 0.388527 + 0.672949i
\(717\) −4.60738 + 4.60738i −0.172066 + 0.172066i
\(718\) −6.49232 −0.242291
\(719\) 52.3571 1.95259 0.976296 0.216440i \(-0.0694446\pi\)
0.976296 + 0.216440i \(0.0694446\pi\)
\(720\) 2.95585 2.95585i 0.110158 0.110158i
\(721\) 3.25371 1.89945i 0.121174 0.0707391i
\(722\) −3.33722 12.4547i −0.124198 0.463514i
\(723\) −14.4528 3.87262i −0.537506 0.144024i
\(724\) −16.9487 + 9.78535i −0.629895 + 0.363670i
\(725\) 17.2883i 0.642072i
\(726\) 10.2378 2.74320i 0.379959 0.101810i
\(727\) −14.4888 −0.537359 −0.268680 0.963230i \(-0.586587\pi\)
−0.268680 + 0.963230i \(0.586587\pi\)
\(728\) −1.93614 + 9.34084i −0.0717580 + 0.346195i
\(729\) −1.00000 −0.0370370
\(730\) 33.4925 8.97428i 1.23961 0.332153i
\(731\) 16.4505i 0.608445i
\(732\) −10.7264 + 6.19287i −0.396458 + 0.228895i
\(733\) −2.32989 0.624291i −0.0860563 0.0230587i 0.215534 0.976496i \(-0.430851\pi\)
−0.301590 + 0.953438i \(0.597517\pi\)
\(734\) −6.73128 25.1215i −0.248456 0.927250i
\(735\) −7.30124 + 28.3359i −0.269310 + 1.04519i
\(736\) −3.64081 + 3.64081i −0.134202 + 0.134202i
\(737\) −4.02268 −0.148177
\(738\) 1.26545 0.0465819
\(739\) −24.8592 + 24.8592i −0.914462 + 0.914462i −0.996619 0.0821576i \(-0.973819\pi\)
0.0821576 + 0.996619i \(0.473819\pi\)
\(740\) 4.70993 + 8.15783i 0.173140 + 0.299888i
\(741\) −1.85021 + 8.71519i −0.0679690 + 0.320161i
\(742\) 30.5024 + 8.01610i 1.11978 + 0.294280i
\(743\) −4.80877 + 17.9466i −0.176417 + 0.658396i 0.819889 + 0.572522i \(0.194035\pi\)
−0.996306 + 0.0858740i \(0.972632\pi\)
\(744\) 2.77367 4.80415i 0.101688 0.176129i
\(745\) 29.3201 + 50.7839i 1.07420 + 1.86058i
\(746\) 24.8440 6.65693i 0.909603 0.243727i
\(747\) 5.72801 5.72801i 0.209577 0.209577i
\(748\) −3.61980 + 0.969922i −0.132353 + 0.0354639i
\(749\) −25.1746 14.3736i −0.919859 0.525199i
\(750\) −15.6217 + 27.0577i −0.570426 + 0.988006i
\(751\) −13.9680 8.06445i −0.509701 0.294276i 0.223010 0.974816i \(-0.428412\pi\)
−0.732711 + 0.680540i \(0.761745\pi\)
\(752\) −2.34923 2.34923i −0.0856678 0.0856678i
\(753\) −13.5662 7.83244i −0.494379 0.285430i
\(754\) −1.03773 + 4.88811i −0.0377919 + 0.178014i
\(755\) 30.7214i 1.11806i
\(756\) −2.28490 + 1.33388i −0.0831010 + 0.0485127i
\(757\) −0.821968 1.42369i −0.0298749 0.0517449i 0.850701 0.525649i \(-0.176178\pi\)
−0.880576 + 0.473904i \(0.842844\pi\)
\(758\) 29.3645i 1.06657i
\(759\) −0.843978 3.14977i −0.0306345 0.114329i
\(760\) 2.67345 9.97745i 0.0969763 0.361920i
\(761\) −37.4447 37.4447i −1.35737 1.35737i −0.877146 0.480224i \(-0.840555\pi\)
−0.480224 0.877146i \(-0.659445\pi\)
\(762\) −13.0183 13.0183i −0.471602 0.471602i
\(763\) −0.809924 2.96556i −0.0293212 0.107360i
\(764\) 4.56628 2.63634i 0.165202 0.0953795i
\(765\) 6.40196 + 23.8925i 0.231463 + 0.863834i
\(766\) 6.31661 10.9407i 0.228228 0.395303i
\(767\) −41.3872 + 13.4589i −1.49440 + 0.485972i
\(768\) 0.866025 0.500000i 0.0312500 0.0180422i
\(769\) −2.73506 0.732858i −0.0986289 0.0264275i 0.209167 0.977880i \(-0.432925\pi\)
−0.307796 + 0.951452i \(0.599591\pi\)
\(770\) 4.97659 + 4.92896i 0.179344 + 0.177627i
\(771\) 24.8529 + 14.3488i 0.895055 + 0.516760i
\(772\) 3.53613 13.1970i 0.127268 0.474971i
\(773\) −12.4952 3.34809i −0.449422 0.120422i 0.0270069 0.999635i \(-0.491402\pi\)
−0.476429 + 0.879213i \(0.658069\pi\)