Properties

Label 546.2.cg.b.409.6
Level $546$
Weight $2$
Character 546.409
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.cg (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 409.6
Character \(\chi\) \(=\) 546.409
Dual form 546.2.cg.b.271.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.707107 - 0.707107i) q^{2} +(0.866025 - 0.500000i) q^{3} -1.00000i q^{4} +(-1.08192 + 4.03777i) q^{5} +(0.258819 - 0.965926i) q^{6} +(-1.31184 + 2.29762i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(0.707107 - 0.707107i) q^{2} +(0.866025 - 0.500000i) q^{3} -1.00000i q^{4} +(-1.08192 + 4.03777i) q^{5} +(0.258819 - 0.965926i) q^{6} +(-1.31184 + 2.29762i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(0.500000 - 0.866025i) q^{9} +(2.09010 + 3.62017i) q^{10} +(-0.163915 + 0.611738i) 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} -1.00000 q^{16} +5.91724 q^{17} +(-0.258819 - 0.965926i) q^{18} +(2.38683 - 0.639550i) q^{19} +(4.03777 + 1.08192i) q^{20} +(0.0127227 + 2.64572i) q^{21} +(0.316659 + 0.548469i) q^{22} +5.14888i q^{23} +(-0.965926 - 0.258819i) q^{24} +(-10.8029 - 6.23707i) q^{25} +(0.748759 + 3.52695i) q^{26} -1.00000i q^{27} +(2.29762 + 1.31184i) q^{28} +(-0.692966 + 1.20025i) q^{29} +(3.62017 + 2.09010i) q^{30} +(5.35833 - 1.43576i) q^{31} +(-0.707107 + 0.707107i) q^{32} +(0.163915 + 0.611738i) q^{33} +(4.18412 - 4.18412i) q^{34} +(-7.85797 - 7.78276i) q^{35} +(-0.866025 - 0.500000i) q^{36} +(-1.59342 - 1.59342i) q^{37} +(1.23551 - 2.13997i) q^{38} +(-0.189595 + 3.60056i) q^{39} +(3.62017 - 2.09010i) q^{40} +(-1.22233 + 0.327523i) q^{41} +(1.87980 + 1.86181i) q^{42} +(-2.40764 + 1.39005i) q^{43} +(0.611738 + 0.163915i) q^{44} +(2.95585 + 2.95585i) q^{45} +(3.64081 + 3.64081i) q^{46} +(3.20911 + 0.859880i) q^{47} +(-0.866025 + 0.500000i) q^{48} +(-3.55814 - 6.02824i) q^{49} +(-12.0491 + 3.22855i) q^{50} +(5.12448 - 2.95862i) q^{51} +(3.02338 + 1.96448i) q^{52} +(5.96016 - 10.3233i) q^{53} +(-0.707107 - 0.707107i) q^{54} +(-2.29272 - 1.32370i) q^{55} +(2.55228 - 0.697052i) q^{56} +(1.74728 - 1.74728i) q^{57} +(0.358706 + 1.33871i) q^{58} +(8.53508 - 8.53508i) q^{59} +(4.03777 - 1.08192i) q^{60} +(-10.7264 - 6.19287i) q^{61} +(2.77367 - 4.80415i) q^{62} +(1.33388 + 2.28490i) q^{63} +1.00000i q^{64} +(-10.0823 - 11.2032i) q^{65} +(0.548469 + 0.316659i) q^{66} +(-6.13532 - 1.64395i) q^{67} -5.91724i q^{68} +(2.57444 + 4.45906i) q^{69} +(-11.0597 + 0.0531837i) q^{70} +(14.8816 + 3.98751i) q^{71} +(-0.965926 + 0.258819i) q^{72} +(2.14685 + 8.01215i) q^{73} -2.25344 q^{74} -12.4741 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} +(1.08192 - 4.03777i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-0.632726 + 1.09591i) q^{82} +(5.72801 + 5.72801i) q^{83} +(2.64572 - 0.0127227i) q^{84} +(-6.40196 + 23.8925i) q^{85} +(-0.719544 + 2.68538i) q^{86} +1.38593i q^{87} +(0.548469 - 0.316659i) q^{88} +(-1.18693 + 1.18693i) q^{89} +4.18021 q^{90} +(-4.36951 - 8.47982i) q^{91} +5.14888 q^{92} +(3.92257 - 3.92257i) q^{93} +(2.87721 - 1.66116i) q^{94} +10.3294i q^{95} +(-0.258819 + 0.965926i) q^{96} +(-1.95617 + 7.30052i) q^{97} +(-6.77859 - 1.74662i) q^{98} +(0.447823 + 0.447823i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q + 4q^{7} + 20q^{9} + O(q^{10}) \) \( 40q + 4q^{7} + 20q^{9} + 8q^{11} - 20q^{12} + 4q^{14} - 40q^{16} + 16q^{17} + 4q^{19} + 4q^{21} - 4q^{22} - 24q^{25} + 8q^{26} - 4q^{28} - 12q^{29} - 8q^{33} - 8q^{34} - 32q^{35} + 40q^{37} + 8q^{38} + 20q^{39} + 20q^{41} + 12q^{42} - 24q^{43} - 4q^{44} + 32q^{46} + 4q^{47} + 32q^{49} - 16q^{50} + 24q^{51} + 16q^{52} - 4q^{53} + 24q^{55} + 12q^{56} + 8q^{57} + 12q^{58} + 24q^{59} + 60q^{61} + 32q^{62} - 4q^{63} + 44q^{65} - 12q^{67} - 8q^{69} - 24q^{70} - 28q^{71} + 60q^{73} - 40q^{74} - 72q^{75} + 4q^{76} - 12q^{77} + 4q^{78} - 20q^{81} - 24q^{82} + 60q^{83} - 8q^{84} - 4q^{85} - 20q^{86} - 36q^{89} - 16q^{92} - 24q^{93} - 48q^{97} - 88q^{98} + 4q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(1\) \(e\left(\frac{5}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.707107 0.707107i 0.500000 0.500000i
\(3\) 0.866025 0.500000i 0.500000 0.288675i
\(4\) 1.00000i 0.500000i
\(5\) −1.08192 + 4.03777i −0.483848 + 1.80575i 0.101343 + 0.994851i \(0.467686\pi\)
−0.585192 + 0.810895i \(0.698981\pi\)
\(6\) 0.258819 0.965926i 0.105662 0.394338i
\(7\) −1.31184 + 2.29762i −0.495830 + 0.868420i
\(8\) −0.707107 0.707107i −0.250000 0.250000i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) 2.09010 + 3.62017i 0.660949 + 1.14480i
\(11\) −0.163915 + 0.611738i −0.0494222 + 0.184446i −0.986224 0.165414i \(-0.947104\pi\)
0.936802 + 0.349860i \(0.113771\pi\)
\(12\) −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
\(16\) −1.00000 −0.250000
\(17\) 5.91724 1.43514 0.717570 0.696486i \(-0.245254\pi\)
0.717570 + 0.696486i \(0.245254\pi\)
\(18\) −0.258819 0.965926i −0.0610042 0.227671i
\(19\) 2.38683 0.639550i 0.547577 0.146723i 0.0255840 0.999673i \(-0.491855\pi\)
0.521993 + 0.852950i \(0.325189\pi\)
\(20\) 4.03777 + 1.08192i 0.902873 + 0.241924i
\(21\) 0.0127227 + 2.64572i 0.00277633 + 0.577344i
\(22\) 0.316659 + 0.548469i 0.0675119 + 0.116934i
\(23\) 5.14888i 1.07362i 0.843704 + 0.536808i \(0.180370\pi\)
−0.843704 + 0.536808i \(0.819630\pi\)
\(24\) −0.965926 0.258819i −0.197169 0.0528312i
\(25\) −10.8029 6.23707i −2.16059 1.24741i
\(26\) 0.748759 + 3.52695i 0.146844 + 0.691691i
\(27\) 1.00000i 0.192450i
\(28\) 2.29762 + 1.31184i 0.434210 + 0.247915i
\(29\) −0.692966 + 1.20025i −0.128681 + 0.222881i −0.923166 0.384402i \(-0.874408\pi\)
0.794485 + 0.607284i \(0.207741\pi\)
\(30\) 3.62017 + 2.09010i 0.660949 + 0.381599i
\(31\) 5.35833 1.43576i 0.962384 0.257870i 0.256775 0.966471i \(-0.417340\pi\)
0.705609 + 0.708601i \(0.250673\pi\)
\(32\) −0.707107 + 0.707107i −0.125000 + 0.125000i
\(33\) 0.163915 + 0.611738i 0.0285339 + 0.106490i
\(34\) 4.18412 4.18412i 0.717570 0.717570i
\(35\) −7.85797 7.78276i −1.32824 1.31553i
\(36\) −0.866025 0.500000i −0.144338 0.0833333i
\(37\) −1.59342 1.59342i −0.261957 0.261957i 0.563892 0.825849i \(-0.309304\pi\)
−0.825849 + 0.563892i \(0.809304\pi\)
\(38\) 1.23551 2.13997i 0.200427 0.347150i
\(39\) −0.189595 + 3.60056i −0.0303595 + 0.576551i
\(40\) 3.62017 2.09010i 0.572399 0.330475i
\(41\) −1.22233 + 0.327523i −0.190896 + 0.0511505i −0.353000 0.935623i \(-0.614839\pi\)
0.162104 + 0.986774i \(0.448172\pi\)
\(42\) 1.87980 + 1.86181i 0.290060 + 0.287284i
\(43\) −2.40764 + 1.39005i −0.367162 + 0.211981i −0.672218 0.740353i \(-0.734658\pi\)
0.305056 + 0.952334i \(0.401325\pi\)
\(44\) 0.611738 + 0.163915i 0.0922230 + 0.0247111i
\(45\) 2.95585 + 2.95585i 0.440633 + 0.440633i
\(46\) 3.64081 + 3.64081i 0.536808 + 0.536808i
\(47\) 3.20911 + 0.859880i 0.468097 + 0.125426i 0.485155 0.874428i \(-0.338763\pi\)
−0.0170575 + 0.999855i \(0.505430\pi\)
\(48\) −0.866025 + 0.500000i −0.125000 + 0.0721688i
\(49\) −3.55814 6.02824i −0.508306 0.861177i
\(50\) −12.0491 + 3.22855i −1.70400 + 0.456585i
\(51\) 5.12448 2.95862i 0.717570 0.414289i
\(52\) 3.02338 + 1.96448i 0.419268 + 0.272424i
\(53\) 5.96016 10.3233i 0.818690 1.41801i −0.0879571 0.996124i \(-0.528034\pi\)
0.906647 0.421889i \(-0.138633\pi\)
\(54\) −0.707107 0.707107i −0.0962250 0.0962250i
\(55\) −2.29272 1.32370i −0.309150 0.178488i
\(56\) 2.55228 0.697052i 0.341062 0.0931475i
\(57\) 1.74728 1.74728i 0.231433 0.231433i
\(58\) 0.358706 + 1.33871i 0.0471003 + 0.175781i
\(59\) 8.53508 8.53508i 1.11117 1.11117i 0.118181 0.992992i \(-0.462294\pi\)
0.992992 0.118181i \(-0.0377063\pi\)
\(60\) 4.03777 1.08192i 0.521274 0.139675i
\(61\) −10.7264 6.19287i −1.37337 0.792916i −0.382020 0.924154i \(-0.624771\pi\)
−0.991351 + 0.131239i \(0.958105\pi\)
\(62\) 2.77367 4.80415i 0.352257 0.610127i
\(63\) 1.33388 + 2.28490i 0.168053 + 0.287870i
\(64\) 1.00000i 0.125000i
\(65\) −10.0823 11.2032i −1.25056 1.38958i
\(66\) 0.548469 + 0.316659i 0.0675119 + 0.0389780i
\(67\) −6.13532 1.64395i −0.749548 0.200841i −0.136231 0.990677i \(-0.543499\pi\)
−0.613318 + 0.789836i \(0.710165\pi\)
\(68\) 5.91724i 0.717570i
\(69\) 2.57444 + 4.45906i 0.309926 + 0.536808i
\(70\) −11.0597 + 0.0531837i −1.32188 + 0.00635667i
\(71\) 14.8816 + 3.98751i 1.76612 + 0.473231i 0.987944 0.154813i \(-0.0494776\pi\)
0.778178 + 0.628044i \(0.216144\pi\)
\(72\) −0.965926 + 0.258819i −0.113835 + 0.0305021i
\(73\) 2.14685 + 8.01215i 0.251270 + 0.937752i 0.970128 + 0.242595i \(0.0779985\pi\)
−0.718858 + 0.695157i \(0.755335\pi\)
\(74\) −2.25344 −0.261957
\(75\) −12.4741 −1.44039
\(76\) −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 \(0.840987\pi\)
\(80\) 1.08192 4.03777i 0.120962 0.451437i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) −0.632726 + 1.09591i −0.0698729 + 0.121023i
\(83\) 5.72801 + 5.72801i 0.628731 + 0.628731i 0.947749 0.319018i \(-0.103353\pi\)
−0.319018 + 0.947749i \(0.603353\pi\)
\(84\) 2.64572 0.0127227i 0.288672 0.00138817i
\(85\) −6.40196 + 23.8925i −0.694390 + 2.59150i
\(86\) −0.719544 + 2.68538i −0.0775904 + 0.289571i
\(87\) 1.38593i 0.148587i
\(88\) 0.548469 0.316659i 0.0584670 0.0337560i
\(89\) −1.18693 + 1.18693i −0.125814 + 0.125814i −0.767210 0.641396i \(-0.778356\pi\)
0.641396 + 0.767210i \(0.278356\pi\)
\(90\) 4.18021 0.440633
\(91\) −4.36951 8.47982i −0.458049 0.888927i
\(92\) 5.14888 0.536808
\(93\) 3.92257 3.92257i 0.406751 0.406751i
\(94\) 2.87721 1.66116i 0.296762 0.171336i
\(95\) 10.3294i 1.05978i
\(96\) −0.258819 + 0.965926i −0.0264156 + 0.0985844i
\(97\) −1.95617 + 7.30052i −0.198619 + 0.741256i 0.792681 + 0.609636i \(0.208684\pi\)
−0.991300 + 0.131620i \(0.957982\pi\)
\(98\) −6.77859 1.74662i −0.684741 0.176435i
\(99\) 0.447823 + 0.447823i 0.0450079 + 0.0450079i
\(100\) −6.23707 + 10.8029i −0.623707 + 1.08029i
\(101\) 2.10015 + 3.63757i 0.208973 + 0.361951i 0.951391 0.307985i \(-0.0996547\pi\)
−0.742418 + 0.669936i \(0.766321\pi\)
\(102\) 1.53149 5.71561i 0.151640 0.565930i
\(103\) −0.712002 1.23322i −0.0701556 0.121513i 0.828814 0.559525i \(-0.189016\pi\)
−0.898969 + 0.438011i \(0.855683\pi\)
\(104\) 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
\(107\) −10.9568 −1.05923 −0.529616 0.848237i \(-0.677664\pi\)
−0.529616 + 0.848237i \(0.677664\pi\)
\(108\) −1.00000 −0.0962250
\(109\) −0.300729 1.12234i −0.0288046 0.107500i 0.950027 0.312168i \(-0.101055\pi\)
−0.978831 + 0.204668i \(0.934389\pi\)
\(110\) −2.55719 + 0.685198i −0.243819 + 0.0653310i
\(111\) −2.17666 0.583233i −0.206599 0.0553581i
\(112\) 1.31184 2.29762i 0.123957 0.217105i
\(113\) −8.19504 14.1942i −0.770925 1.33528i −0.937057 0.349177i \(-0.886461\pi\)
0.166132 0.986104i \(-0.446872\pi\)
\(114\) 2.47103i 0.231433i
\(115\) −20.7900 5.57067i −1.93868 0.519467i
\(116\) 1.20025 + 0.692966i 0.111441 + 0.0643403i
\(117\) 1.63609 + 3.21298i 0.151256 + 0.297040i
\(118\) 12.0704i 1.11117i
\(119\) −7.76248 + 13.5956i −0.711586 + 1.24630i
\(120\) 2.09010 3.62017i 0.190800 0.330475i
\(121\) 9.17892 + 5.29945i 0.834448 + 0.481769i
\(122\) −11.9637 + 3.20567i −1.08314 + 0.290227i
\(123\) −0.894810 + 0.894810i −0.0806823 + 0.0806823i
\(124\) −1.43576 5.35833i −0.128935 0.481192i
\(125\) 22.0925 22.0925i 1.97601 1.97601i
\(126\) 2.55886 + 0.672474i 0.227962 + 0.0599087i
\(127\) 15.9441 + 9.20531i 1.41481 + 0.816839i 0.995836 0.0911603i \(-0.0290576\pi\)
0.418971 + 0.908000i \(0.362391\pi\)
\(128\) 0.707107 + 0.707107i 0.0625000 + 0.0625000i
\(129\) −1.39005 + 2.40764i −0.122387 + 0.211981i
\(130\) −15.0511 0.792548i −1.32007 0.0695111i
\(131\) 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
\(133\) −1.66170 + 6.32303i −0.144088 + 0.548276i
\(134\) −5.50077 + 3.17587i −0.475195 + 0.274354i
\(135\) 4.03777 + 1.08192i 0.347516 + 0.0931166i
\(136\) −4.18412 4.18412i −0.358785 0.358785i
\(137\) 10.5293 + 10.5293i 0.899580 + 0.899580i 0.995399 0.0958184i \(-0.0305468\pi\)
−0.0958184 + 0.995399i \(0.530547\pi\)
\(138\) 4.97344 + 1.33263i 0.423367 + 0.113441i
\(139\) 8.18822 4.72747i 0.694516 0.400979i −0.110786 0.993844i \(-0.535337\pi\)
0.805302 + 0.592865i \(0.202003\pi\)
\(140\) −7.78276 + 7.85797i −0.657763 + 0.664120i
\(141\) 3.20911 0.859880i 0.270256 0.0724149i
\(142\) 13.3425 7.70329i 1.11968 0.646445i
\(143\) −1.52751 1.69732i −0.127737 0.141937i
\(144\) −0.500000 + 0.866025i −0.0416667 + 0.0721688i
\(145\) −4.09661 4.09661i −0.340205 0.340205i
\(146\) 7.18350 + 4.14740i 0.594511 + 0.343241i
\(147\) −6.09556 3.44154i −0.502753 0.283853i
\(148\) −1.59342 + 1.59342i −0.130979 + 0.130979i
\(149\) −3.63073 13.5501i −0.297441 1.11006i −0.939260 0.343207i \(-0.888487\pi\)
0.641819 0.766856i \(-0.278180\pi\)
\(150\) −8.82055 + 8.82055i −0.720195 + 0.720195i
\(151\) −7.09882 + 1.90212i −0.577694 + 0.154793i −0.535823 0.844330i \(-0.679999\pi\)
−0.0418710 + 0.999123i \(0.513332\pi\)
\(152\) −2.13997 1.23551i −0.173575 0.100213i
\(153\) 2.95862 5.12448i 0.239190 0.414289i
\(154\) −1.67558 + 0.00805754i −0.135022 + 0.000649295i
\(155\) 23.1891i 1.86259i
\(156\) 3.60056 + 0.189595i 0.288276 + 0.0151798i
\(157\) −18.5419 10.7052i −1.47980 0.854365i −0.480065 0.877233i \(-0.659387\pi\)
−0.999738 + 0.0228679i \(0.992720\pi\)
\(158\) −0.412834 0.110619i −0.0328433 0.00880035i
\(159\) 11.9203i 0.945342i
\(160\) −2.09010 3.62017i −0.165237 0.286199i
\(161\) −11.8302 6.75452i −0.932350 0.532331i
\(162\) −0.965926 0.258819i −0.0758903 0.0203347i
\(163\) 0.215258 0.0576783i 0.0168603 0.00451771i −0.250379 0.968148i \(-0.580555\pi\)
0.267239 + 0.963630i \(0.413889\pi\)
\(164\) 0.327523 + 1.22233i 0.0255753 + 0.0954481i
\(165\) −2.64740 −0.206100
\(166\) 8.10063 0.628731
\(167\) 4.93109 + 18.4031i 0.381579 + 1.42407i 0.843489 + 0.537147i \(0.180498\pi\)
−0.461909 + 0.886927i \(0.652835\pi\)
\(168\) 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
\(171\) 0.639550 2.38683i 0.0489076 0.182526i
\(172\) 1.39005 + 2.40764i 0.105991 + 0.183581i
\(173\) 7.60190 13.1669i 0.577962 1.00106i −0.417751 0.908562i \(-0.637182\pi\)
0.995713 0.0924977i \(-0.0294851\pi\)
\(174\) 0.980002 + 0.980002i 0.0742937 + 0.0742937i
\(175\) 28.5022 16.6390i 2.15456 1.25779i
\(176\) 0.163915 0.611738i 0.0123555 0.0461115i
\(177\) 3.12406 11.6591i 0.234818 0.876354i
\(178\) 1.67857i 0.125814i
\(179\) −18.0069 + 10.3963i −1.34590 + 0.777054i −0.987666 0.156579i \(-0.949954\pi\)
−0.358232 + 0.933633i \(0.616620\pi\)
\(180\) 2.95585 2.95585i 0.220316 0.220316i
\(181\) 19.5707 1.45468 0.727340 0.686278i \(-0.240757\pi\)
0.727340 + 0.686278i \(0.240757\pi\)
\(182\) −9.08585 2.90643i −0.673488 0.215439i
\(183\) −12.3857 −0.915580
\(184\) 3.64081 3.64081i 0.268404 0.268404i
\(185\) 8.15783 4.70993i 0.599776 0.346281i
\(186\) 5.54735i 0.406751i
\(187\) −0.969922 + 3.61980i −0.0709278 + 0.264706i
\(188\) 0.859880 3.20911i 0.0627132 0.234049i
\(189\) 2.29762 + 1.31184i 0.167127 + 0.0954225i
\(190\) 7.30400 + 7.30400i 0.529888 + 0.529888i
\(191\) −2.63634 + 4.56628i −0.190759 + 0.330404i −0.945502 0.325616i \(-0.894428\pi\)
0.754743 + 0.656021i \(0.227762\pi\)
\(192\) 0.500000 + 0.866025i 0.0360844 + 0.0625000i
\(193\) 3.53613 13.1970i 0.254536 0.949943i −0.713812 0.700338i \(-0.753033\pi\)
0.968348 0.249605i \(-0.0803007\pi\)
\(194\) 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 0.978832 + 0.204664i \(0.0656102\pi\)
−0.745362 + 0.666660i \(0.767723\pi\)
\(198\) 0.633318 0.0450079
\(199\) −5.99676 −0.425099 −0.212549 0.977150i \(-0.568177\pi\)
−0.212549 + 0.977150i \(0.568177\pi\)
\(200\) 3.22855 + 12.0491i 0.228293 + 0.852000i
\(201\) −6.13532 + 1.64395i −0.432752 + 0.115956i
\(202\) 4.05718 + 1.08712i 0.285462 + 0.0764893i
\(203\) −1.84866 3.16672i −0.129751 0.222260i
\(204\) −2.95862 5.12448i −0.207145 0.358785i
\(205\) 5.28985i 0.369459i
\(206\) −1.37548 0.368559i −0.0958344 0.0256787i
\(207\) 4.45906 + 2.57444i 0.309926 + 0.178936i
\(208\) 1.96448 3.02338i 0.136212 0.209634i
\(209\) 1.56495i 0.108250i
\(210\) −9.55136 + 5.57589i −0.659106 + 0.384773i
\(211\) 10.5594 18.2895i 0.726941 1.25910i −0.231230 0.972899i \(-0.574275\pi\)
0.958170 0.286199i \(-0.0923918\pi\)
\(212\) −10.3233 5.96016i −0.709007 0.409345i
\(213\) 14.8816 3.98751i 1.01967 0.273220i
\(214\) −7.74762 + 7.74762i −0.529616 + 0.529616i
\(215\) −3.00784 11.2254i −0.205133 0.765568i
\(216\) −0.707107 + 0.707107i −0.0481125 + 0.0481125i
\(217\) −3.73045 + 14.1949i −0.253239 + 0.963613i
\(218\) −1.00626 0.580963i −0.0681524 0.0393478i
\(219\) 5.86530 + 5.86530i 0.396340 + 0.396340i
\(220\) −1.32370 + 2.29272i −0.0892439 + 0.154575i
\(221\) −11.6243 + 17.8901i −0.781933 + 1.20342i
\(222\) −1.95154 + 1.12672i −0.130979 + 0.0756205i
\(223\) −18.8580 + 5.05298i −1.26282 + 0.338373i −0.827277 0.561794i \(-0.810112\pi\)
−0.435547 + 0.900166i \(0.643445\pi\)
\(224\) −0.697052 2.55228i −0.0465738 0.170531i
\(225\) −10.8029 + 6.23707i −0.720195 + 0.415805i
\(226\) −15.8316 4.24207i −1.05310 0.282178i
\(227\) 14.2857 + 14.2857i 0.948178 + 0.948178i 0.998722 0.0505434i \(-0.0160953\pi\)
−0.0505434 + 0.998722i \(0.516095\pi\)
\(228\) −1.74728 1.74728i −0.115717 0.115717i
\(229\) −1.82487 0.488972i −0.120591 0.0323122i 0.198019 0.980198i \(-0.436549\pi\)
−0.318610 + 0.947886i \(0.603216\pi\)
\(230\) −18.6398 + 10.7617i −1.22907 + 0.709606i
\(231\) −1.62057 0.425890i −0.106626 0.0280215i
\(232\) 1.33871 0.358706i 0.0878904 0.0235502i
\(233\) 0.334379 0.193054i 0.0219059 0.0126474i −0.489007 0.872280i \(-0.662641\pi\)
0.510913 + 0.859632i \(0.329307\pi\)
\(234\) 3.42881 + 1.11503i 0.224148 + 0.0728917i
\(235\) −6.94400 + 12.0274i −0.452976 + 0.784578i
\(236\) −8.53508 8.53508i −0.555586 0.555586i
\(237\) −0.370137 0.213699i −0.0240430 0.0138812i
\(238\) 4.12462 + 15.1024i 0.267360 + 0.978945i
\(239\) 4.60738 4.60738i 0.298027 0.298027i −0.542214 0.840241i \(-0.682414\pi\)
0.840241 + 0.542214i \(0.182414\pi\)
\(240\) −1.08192 4.03777i −0.0698375 0.260637i
\(241\) 10.5802 10.5802i 0.681530 0.681530i −0.278815 0.960345i \(-0.589942\pi\)
0.960345 + 0.278815i \(0.0899416\pi\)
\(242\) 10.2378 2.74320i 0.658108 0.176340i
\(243\) −0.866025 0.500000i −0.0555556 0.0320750i
\(244\) −6.19287 + 10.7264i −0.396458 + 0.686685i
\(245\) 28.1903 7.84490i 1.80101 0.501192i
\(246\) 1.26545i 0.0806823i
\(247\) −2.75527 + 8.47268i −0.175314 + 0.539104i
\(248\) −4.80415 2.77367i −0.305064 0.176129i
\(249\) 7.82461 + 2.09660i 0.495865 + 0.132867i
\(250\) 31.2435i 1.97601i
\(251\) 7.83244 + 13.5662i 0.494379 + 0.856290i 0.999979 0.00647817i \(-0.00206208\pi\)
−0.505600 + 0.862768i \(0.668729\pi\)
\(252\) 2.28490 1.33388i 0.143935 0.0840265i
\(253\) −3.14977 0.843978i −0.198024 0.0530604i
\(254\) 17.7833 4.76502i 1.11582 0.298984i
\(255\) 6.40196 + 23.8925i 0.400907 + 1.49620i
\(256\) 1.00000 0.0625000
\(257\) 28.6976 1.79011 0.895055 0.445956i \(-0.147136\pi\)
0.895055 + 0.445956i \(0.147136\pi\)
\(258\) 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
\(262\) 2.79307 10.4239i 0.172556 0.643989i
\(263\) −6.02517 10.4359i −0.371528 0.643505i 0.618273 0.785963i \(-0.287833\pi\)
−0.989801 + 0.142458i \(0.954499\pi\)
\(264\) 0.316659 0.548469i 0.0194890 0.0337560i
\(265\) 35.2347 + 35.2347i 2.16445 + 2.16445i
\(266\) 3.29605 + 5.64606i 0.202094 + 0.346182i
\(267\) −0.434447 + 1.62138i −0.0265877 + 0.0992268i
\(268\) −1.64395 + 6.13532i −0.100420 + 0.374774i
\(269\) 1.83319i 0.111771i 0.998437 + 0.0558857i \(0.0177983\pi\)
−0.998437 + 0.0558857i \(0.982202\pi\)
\(270\) 3.62017 2.09010i 0.220316 0.127200i
\(271\) −10.6003 + 10.6003i −0.643924 + 0.643924i −0.951518 0.307594i \(-0.900476\pi\)
0.307594 + 0.951518i \(0.400476\pi\)
\(272\) −5.91724 −0.358785
\(273\) −8.02402 5.15899i −0.485636 0.312236i
\(274\) 14.8907 0.899580
\(275\) 5.58621 5.58621i 0.336861 0.336861i
\(276\) 4.45906 2.57444i 0.268404 0.154963i
\(277\) 5.82993i 0.350287i 0.984543 + 0.175143i \(0.0560389\pi\)
−0.984543 + 0.175143i \(0.943961\pi\)
\(278\) 2.44712 9.13277i 0.146768 0.547747i
\(279\) 1.43576 5.35833i 0.0859567 0.320795i
\(280\) 0.0531837 + 11.0597i 0.00317834 + 0.660941i
\(281\) −17.7789 17.7789i −1.06060 1.06060i −0.998041 0.0625584i \(-0.980074\pi\)
−0.0625584 0.998041i \(-0.519926\pi\)
\(282\) 1.66116 2.87721i 0.0989206 0.171336i
\(283\) −6.89348 11.9399i −0.409775 0.709751i 0.585089 0.810969i \(-0.301059\pi\)
−0.994864 + 0.101218i \(0.967726\pi\)
\(284\) 3.98751 14.8816i 0.236615 0.883061i
\(285\) 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
\(289\) 18.0137 1.05963
\(290\) −5.79348 −0.340205
\(291\) 1.95617 + 7.30052i 0.114673 + 0.427964i
\(292\) 8.01215 2.14685i 0.468876 0.125635i
\(293\) −3.06465 0.821170i −0.179039 0.0479733i 0.168186 0.985755i \(-0.446209\pi\)
−0.347224 + 0.937782i \(0.612876\pi\)
\(294\) −6.74374 + 1.87668i −0.393303 + 0.109450i
\(295\) 25.2285 + 43.6970i 1.46886 + 2.54414i
\(296\) 2.25344i 0.130979i
\(297\) 0.611738 + 0.163915i 0.0354966 + 0.00951130i
\(298\) −12.1486 7.01402i −0.703752 0.406311i
\(299\) −15.5670 10.1149i −0.900265 0.584957i
\(300\) 12.4741i 0.720195i
\(301\) −0.0353706 7.35538i −0.00203873 0.423957i
\(302\) −3.67462 + 6.36463i −0.211451 + 0.366243i
\(303\) 3.63757 + 2.10015i 0.208973 + 0.120650i
\(304\) −2.38683 + 0.639550i −0.136894 + 0.0366807i
\(305\) 36.6104 36.6104i 2.09631 2.09631i
\(306\) −1.53149 5.71561i −0.0875497 0.326740i
\(307\) 10.5351 10.5351i 0.601271 0.601271i −0.339378 0.940650i \(-0.610217\pi\)
0.940650 + 0.339378i \(0.110217\pi\)
\(308\) −1.17912 + 1.19051i −0.0671865 + 0.0678358i
\(309\) −1.23322 0.712002i −0.0701556 0.0405044i
\(310\) 16.3972 + 16.3972i 0.931296 + 0.931296i
\(311\) −16.6841 + 28.8977i −0.946069 + 1.63864i −0.192473 + 0.981302i \(0.561651\pi\)
−0.753596 + 0.657338i \(0.771683\pi\)
\(312\) 2.68005 2.41192i 0.151728 0.136548i
\(313\) 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
\(315\) −10.6691 + 2.91382i −0.601133 + 0.164175i
\(316\) −0.370137 + 0.213699i −0.0208218 + 0.0120215i
\(317\) −20.4735 5.48586i −1.14991 0.308116i −0.366979 0.930229i \(-0.619608\pi\)
−0.782927 + 0.622113i \(0.786274\pi\)
\(318\) −8.42893 8.42893i −0.472671 0.472671i
\(319\) −0.620653 0.620653i −0.0347499 0.0347499i
\(320\) −4.03777 1.08192i −0.225718 0.0604810i
\(321\) −9.48886 + 5.47839i −0.529616 + 0.305774i
\(322\) −13.1414 + 3.58904i −0.732340 + 0.200009i
\(323\) 14.1234 3.78437i 0.785850 0.210568i
\(324\) −0.866025 + 0.500000i −0.0481125 + 0.0277778i
\(325\) 40.0791 20.4088i 2.22319 1.13208i
\(326\) 0.111426 0.192995i 0.00617131 0.0106890i
\(327\) −0.821606 0.821606i −0.0454349 0.0454349i
\(328\) 1.09591 + 0.632726i 0.0605117 + 0.0349364i
\(329\) −6.18553 + 6.24531i −0.341019 + 0.344315i
\(330\) −1.87200 + 1.87200i −0.103050 + 0.103050i
\(331\) 2.42975 + 9.06797i 0.133551 + 0.498421i 1.00000 0.000846312i \(-0.000269389\pi\)
−0.866448 + 0.499267i \(0.833603\pi\)
\(332\) 5.72801 5.72801i 0.314366 0.314366i
\(333\) −2.17666 + 0.583233i −0.119280 + 0.0319610i
\(334\) 16.4998 + 9.52614i 0.902827 + 0.521247i
\(335\) 13.2758 22.9944i 0.725335 1.25632i
\(336\) −0.0127227 2.64572i −0.000694083 0.144336i
\(337\) 15.7627i 0.858648i 0.903151 + 0.429324i \(0.141248\pi\)
−0.903151 + 0.429324i \(0.858752\pi\)
\(338\) −12.1342 4.66482i −0.660015 0.253733i
\(339\) −14.1942 8.19504i −0.770925 0.445094i
\(340\) 23.8925 + 6.40196i 1.29575 + 0.347195i
\(341\) 3.51324i 0.190252i
\(342\) −1.23551 2.13997i −0.0668090 0.115717i
\(343\) 18.5183 0.267169i 0.999896 0.0144258i
\(344\) 2.68538 + 0.719544i 0.144786 + 0.0387952i
\(345\) −20.7900 + 5.57067i −1.11930 + 0.299915i
\(346\) −3.93503 14.6857i −0.211549 0.789510i
\(347\) 6.89050 0.369902 0.184951 0.982748i \(-0.440787\pi\)
0.184951 + 0.982748i \(0.440787\pi\)
\(348\) 1.38593 0.0742937
\(349\) −5.86607 21.8925i −0.314004 1.17188i −0.924913 0.380178i \(-0.875863\pi\)
0.610910 0.791700i \(-0.290804\pi\)
\(350\) 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
\(353\) 0.240340 0.896962i 0.0127920 0.0477405i −0.959235 0.282610i \(-0.908800\pi\)
0.972027 + 0.234870i \(0.0754664\pi\)
\(354\) −6.03521 10.4533i −0.320768 0.555586i
\(355\) −32.2013 + 55.7744i −1.70907 + 2.96020i
\(356\) 1.18693 + 1.18693i 0.0629072 + 0.0629072i
\(357\) 0.0752835 + 15.6554i 0.00398443 + 0.828569i
\(358\) −5.38151 + 20.0841i −0.284422 + 1.06148i
\(359\) −1.68034 + 6.27110i −0.0886847 + 0.330976i −0.995986 0.0895044i \(-0.971472\pi\)
0.907302 + 0.420480i \(0.138138\pi\)
\(360\) 4.18021i 0.220316i
\(361\) −11.1665 + 6.44701i −0.587713 + 0.339316i
\(362\) 13.8386 13.8386i 0.727340 0.727340i
\(363\) 10.5989 0.556298
\(364\) −8.47982 + 4.36951i −0.444464 + 0.229024i
\(365\) −34.6740 −1.81492
\(366\) −8.75804 + 8.75804i −0.457790 + 0.457790i
\(367\) 22.5233 13.0038i 1.17571 0.678794i 0.220689 0.975344i \(-0.429169\pi\)
0.955017 + 0.296550i \(0.0958361\pi\)
\(368\) 5.14888i 0.268404i
\(369\) −0.327523 + 1.22233i −0.0170502 + 0.0636321i
\(370\) 2.43804 9.09888i 0.126748 0.473028i
\(371\) 15.9002 + 27.2367i 0.825500 + 1.41406i
\(372\) −3.92257 3.92257i −0.203376 0.203376i
\(373\) 12.8602 22.2745i 0.665876 1.15333i −0.313172 0.949697i \(-0.601391\pi\)
0.979047 0.203634i \(-0.0652752\pi\)
\(374\) 1.87375 + 3.24542i 0.0968891 + 0.167817i
\(375\) 8.08641 30.1789i 0.417581 1.55843i
\(376\) −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 −0.829491 0.558520i \(-0.811369\pi\)
0.439100 0.898438i \(-0.355297\pi\)
\(380\) 10.3294 0.529888
\(381\) 18.4106 0.943205
\(382\) 1.36467 + 5.09302i 0.0698226 + 0.260582i
\(383\) −12.2027 + 3.26972i −0.623531 + 0.167075i −0.556733 0.830692i \(-0.687945\pi\)
−0.0667987 + 0.997766i \(0.521279\pi\)
\(384\) 0.965926 + 0.258819i 0.0492922 + 0.0132078i
\(385\) 6.04905 3.53131i 0.308288 0.179972i
\(386\) −6.83128 11.8321i −0.347703 0.602239i
\(387\) 2.78010i 0.141321i
\(388\) 7.30052 + 1.95617i 0.370628 + 0.0993095i
\(389\) −12.5800 7.26305i −0.637830 0.368251i 0.145948 0.989292i \(-0.453377\pi\)
−0.783778 + 0.621041i \(0.786710\pi\)
\(390\) −13.4309 + 6.83919i −0.680101 + 0.346316i
\(391\) 30.4672i 1.54079i
\(392\) −1.74662 + 6.77859i −0.0882177 + 0.342371i
\(393\) 5.39580 9.34579i 0.272182 0.471433i
\(394\) 10.9648 + 6.33052i 0.552398 + 0.318927i
\(395\) 1.72573 0.462409i 0.0868311 0.0232663i
\(396\) 0.447823 0.447823i 0.0225040 0.0225040i
\(397\) −1.39851 5.21930i −0.0701890 0.261949i 0.921910 0.387403i \(-0.126628\pi\)
−0.992099 + 0.125454i \(0.959961\pi\)
\(398\) −4.24035 + 4.24035i −0.212549 + 0.212549i
\(399\) 1.72244 + 6.30675i 0.0862297 + 0.315733i
\(400\) 10.8029 + 6.23707i 0.540146 + 0.311854i
\(401\) −2.89768 2.89768i −0.144703 0.144703i 0.631044 0.775747i \(-0.282627\pi\)
−0.775747 + 0.631044i \(0.782627\pi\)
\(402\) −3.17587 + 5.50077i −0.158398 + 0.274354i
\(403\) −6.18546 + 19.0208i −0.308120 + 0.947493i
\(404\) 3.63757 2.10015i 0.180976 0.104486i
\(405\) 4.03777 1.08192i 0.200638 0.0537609i
\(406\) −3.54641 0.932003i −0.176005 0.0462545i
\(407\) 1.23594 0.713572i 0.0612634 0.0353705i
\(408\) −5.71561 1.53149i −0.282965 0.0758202i
\(409\) 0.0881259 + 0.0881259i 0.00435754 + 0.00435754i 0.709282 0.704925i \(-0.249019\pi\)
−0.704925 + 0.709282i \(0.749019\pi\)
\(410\) −3.74049 3.74049i −0.184730 0.184730i
\(411\) 14.3833 + 3.85400i 0.709477 + 0.190104i
\(412\) −1.23322 + 0.712002i −0.0607566 + 0.0350778i
\(413\) 8.41372 + 30.8071i 0.414012 + 1.51592i
\(414\) 4.97344 1.33263i 0.244431 0.0654951i
\(415\) −29.3256 + 16.9312i −1.43954 + 0.831118i
\(416\) −0.748759 3.52695i −0.0367109 0.172923i
\(417\) 4.72747 8.18822i 0.231505 0.400979i
\(418\) 1.10658 + 1.10658i 0.0541248 + 0.0541248i
\(419\) −3.80264 2.19546i −0.185771 0.107255i 0.404230 0.914657i \(-0.367539\pi\)
−0.590001 + 0.807402i \(0.700873\pi\)
\(420\) −2.81108 + 10.6966i −0.137167 + 0.521940i
\(421\) −22.1184 + 22.1184i −1.07799 + 1.07799i −0.0812959 + 0.996690i \(0.525906\pi\)
−0.996690 + 0.0812959i \(0.974094\pi\)
\(422\) −5.46596 20.3992i −0.266079 0.993019i
\(423\) 2.34923 2.34923i 0.114224 0.114224i
\(424\) −11.5141 + 3.08520i −0.559176 + 0.149831i
\(425\) −63.9235 36.9062i −3.10074 1.79022i
\(426\) 7.70329 13.3425i 0.373225 0.646445i
\(427\) 28.3002 16.5211i 1.36954 0.799511i
\(428\) 10.9568i 0.529616i
\(429\) −2.17152 0.706168i −0.104842 0.0340941i
\(430\) −10.0644 5.81071i −0.485351 0.280217i
\(431\) 11.0657 + 2.96504i 0.533014 + 0.142821i 0.515280 0.857022i \(-0.327688\pi\)
0.0177345 + 0.999843i \(0.494355\pi\)
\(432\) 1.00000i 0.0481125i
\(433\) −5.94636 10.2994i −0.285764 0.494958i 0.687030 0.726629i \(-0.258914\pi\)
−0.972794 + 0.231671i \(0.925581\pi\)
\(434\) 7.39949 + 12.6751i 0.355187 + 0.608426i
\(435\) −5.59608 1.49946i −0.268311 0.0718938i
\(436\) −1.12234 + 0.300729i −0.0537501 + 0.0144023i
\(437\) 3.29297 + 12.2895i 0.157524 + 0.587887i
\(438\) 8.29479 0.396340
\(439\) 8.61975 0.411398 0.205699 0.978615i \(-0.434053\pi\)
0.205699 + 0.978615i \(0.434053\pi\)
\(440\) 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 \(0.897657\pi\)
\(444\) −0.583233 + 2.17666i −0.0276790 + 0.103300i
\(445\) −3.50840 6.07672i −0.166314 0.288064i
\(446\) −9.76161 + 16.9076i −0.462226 + 0.800598i
\(447\) −9.91933 9.91933i −0.469168 0.469168i
\(448\) −2.29762 1.31184i −0.108552 0.0619787i
\(449\) −2.32879 + 8.69115i −0.109902 + 0.410161i −0.998855 0.0478379i \(-0.984767\pi\)
0.888953 + 0.457999i \(0.151434\pi\)
\(450\) −3.22855 + 12.0491i −0.152195 + 0.568000i
\(451\) 0.801433i 0.0377380i
\(452\) −14.1942 + 8.19504i −0.667640 + 0.385462i
\(453\) −5.19670 + 5.19670i −0.244162 + 0.244162i
\(454\) 20.2031 0.948178
\(455\) 38.9670 8.46860i 1.82680 0.397014i
\(456\) −2.47103 −0.115717
\(457\) −13.0992 + 13.0992i −0.612755 + 0.612755i −0.943663 0.330908i \(-0.892645\pi\)
0.330908 + 0.943663i \(0.392645\pi\)
\(458\) −1.63613 + 0.944621i −0.0764514 + 0.0441392i
\(459\) 5.91724i 0.276193i
\(460\) −5.57067 + 20.7900i −0.259734 + 0.969340i
\(461\) −10.7940 + 40.2836i −0.502725 + 1.87620i −0.0211769 + 0.999776i \(0.506741\pi\)
−0.481548 + 0.876420i \(0.659925\pi\)
\(462\) −1.44707 + 0.844769i −0.0673237 + 0.0393022i
\(463\) −12.7149 12.7149i −0.590912 0.590912i 0.346966 0.937878i \(-0.387212\pi\)
−0.937878 + 0.346966i \(0.887212\pi\)
\(464\) 0.692966 1.20025i 0.0321701 0.0557203i
\(465\) 11.5945 + 20.0823i 0.537684 + 0.931296i
\(466\) 0.0999321 0.372952i 0.00462927 0.0172767i
\(467\) 0.419923 + 0.727328i 0.0194317 + 0.0336567i 0.875578 0.483077i \(-0.160481\pi\)
−0.856146 + 0.516734i \(0.827148\pi\)
\(468\) 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
\(471\) −21.4103 −0.986536
\(472\) −12.0704 −0.555586
\(473\) −0.455700 1.70070i −0.0209531 0.0781981i
\(474\) −0.412834 + 0.110619i −0.0189621 + 0.00508088i
\(475\) −29.7737 7.97784i −1.36611 0.366048i
\(476\) 13.5956 + 7.76248i 0.623152 + 0.355793i
\(477\) −5.96016 10.3233i −0.272897 0.472671i
\(478\) 6.51583i 0.298027i
\(479\) −23.9856 6.42692i −1.09593 0.293654i −0.334824 0.942281i \(-0.608677\pi\)
−0.761106 + 0.648627i \(0.775343\pi\)
\(480\) −3.62017 2.09010i −0.165237 0.0953998i
\(481\) 7.94777 1.68728i 0.362387 0.0769335i
\(482\) 14.9626i 0.681530i
\(483\) −13.6225 + 0.0655079i −0.619846 + 0.00298071i
\(484\) 5.29945 9.17892i 0.240884 0.417224i
\(485\) −27.3614 15.7971i −1.24242 0.717311i
\(486\) −0.965926 + 0.258819i −0.0438153 + 0.0117403i
\(487\) 26.5868 26.5868i 1.20476 1.20476i 0.232061 0.972701i \(-0.425453\pi\)
0.972701 0.232061i \(-0.0745468\pi\)
\(488\) 3.20567 + 11.9637i 0.145114 + 0.541572i
\(489\) 0.157580 0.157580i 0.00712601 0.00712601i
\(490\) 14.3863 25.4807i 0.649909 1.15110i
\(491\) −20.0647 11.5844i −0.905507 0.522795i −0.0265243 0.999648i \(-0.508444\pi\)
−0.878983 + 0.476853i \(0.841777\pi\)
\(492\) 0.894810 + 0.894810i 0.0403411 + 0.0403411i
\(493\) −4.10044 + 7.10218i −0.184675 + 0.319866i
\(494\) 4.04282 + 7.93936i 0.181895 + 0.357209i
\(495\) −2.29272 + 1.32370i −0.103050 + 0.0594959i
\(496\) −5.35833 + 1.43576i −0.240596 + 0.0644675i
\(497\) −28.6841 + 28.9613i −1.28666 + 1.29909i
\(498\) 7.01535 4.05032i 0.314366 0.181499i
\(499\) −19.1161 5.12214i −0.855754 0.229299i −0.195836 0.980637i \(-0.562742\pi\)
−0.659918 + 0.751338i \(0.729409\pi\)
\(500\) −22.0925 22.0925i −0.988006 0.988006i
\(501\) 13.4720 + 13.4720i 0.601884 + 0.601884i
\(502\) 15.1311 + 4.05437i 0.675335 + 0.180955i
\(503\) −1.87260 + 1.08114i −0.0834949 + 0.0482058i −0.541166 0.840916i \(-0.682017\pi\)
0.457671 + 0.889121i \(0.348684\pi\)
\(504\) 0.672474 2.55886i 0.0299544 0.113981i
\(505\) −16.9599 + 4.54438i −0.754704 + 0.202222i
\(506\) −2.82400 + 1.63044i −0.125542 + 0.0724819i
\(507\) −10.5134 7.64644i −0.466917 0.339590i
\(508\) 9.20531 15.9441i 0.408420 0.707404i
\(509\) −18.5258 18.5258i −0.821141 0.821141i 0.165130 0.986272i \(-0.447196\pi\)
−0.986272 + 0.165130i \(0.947196\pi\)
\(510\) 21.4214 + 12.3676i 0.948555 + 0.547649i
\(511\) −21.2252 5.57803i −0.938949 0.246757i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) −0.639550 2.38683i −0.0282368 0.105381i
\(514\) 20.2923 20.2923i 0.895055 0.895055i
\(515\) 5.74980 1.54065i 0.253367 0.0678894i
\(516\) 2.40764 + 1.39005i 0.105991 + 0.0611936i
\(517\) −1.05204 + 1.82219i −0.0462688 + 0.0801399i
\(518\) 2.95616 5.17756i 0.129886 0.227489i
\(519\) 15.2038i 0.667373i
\(520\) −0.792548 + 15.0511i −0.0347555 + 0.660035i
\(521\) 6.95625 + 4.01619i 0.304759 + 0.175952i 0.644579 0.764538i \(-0.277033\pi\)
−0.339820 + 0.940490i \(0.610366\pi\)
\(522\) 1.33871 + 0.358706i 0.0585936 + 0.0157001i
\(523\) 8.24678i 0.360607i 0.983611 + 0.180303i \(0.0577079\pi\)
−0.983611 + 0.180303i \(0.942292\pi\)
\(524\) −5.39580 9.34579i −0.235716 0.408273i
\(525\) 16.3641 28.6609i 0.714188 1.25086i
\(526\) −11.6397 3.11886i −0.507516 0.135989i
\(527\) 31.7065 8.49573i 1.38116 0.370080i
\(528\) −0.163915 0.611738i −0.00713347 0.0266225i
\(529\) −3.51100 −0.152652
\(530\) 49.8294 2.16445
\(531\) −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
\(535\) 11.8543 44.2410i 0.512508 1.91271i
\(536\) 3.17587 + 5.50077i 0.137177 + 0.237597i
\(537\) −10.3963 + 18.0069i −0.448632 + 0.777054i
\(538\) 1.29626 + 1.29626i 0.0558857 + 0.0558857i
\(539\) 4.27093 1.18853i 0.183962 0.0511938i
\(540\) 1.08192 4.03777i 0.0465583 0.173758i
\(541\) 7.25962 27.0933i 0.312116 1.16483i −0.614530 0.788894i \(-0.710654\pi\)
0.926645 0.375937i \(-0.122679\pi\)
\(542\) 14.9911i 0.643924i
\(543\) 16.9487 9.78535i 0.727340 0.419930i
\(544\) −4.18412 + 4.18412i −0.179393 + 0.179393i
\(545\) 4.85710 0.208055
\(546\) −9.32179 + 2.02588i −0.398936 + 0.0866997i
\(547\) 33.9957 1.45355 0.726776 0.686875i \(-0.241018\pi\)
0.726776 + 0.686875i \(0.241018\pi\)
\(548\) 10.5293 10.5293i 0.449790 0.449790i
\(549\) −10.7264 + 6.19287i −0.457790 + 0.264305i
\(550\) 7.90010i 0.336861i
\(551\) −0.886372 + 3.30799i −0.0377607 + 0.140925i
\(552\) 1.33263 4.97344i 0.0567205 0.211684i
\(553\) 1.13077 0.00543767i 0.0480854 0.000231233i
\(554\) 4.12239 + 4.12239i 0.175143 + 0.175143i
\(555\) 4.70993 8.15783i 0.199925 0.346281i
\(556\) −4.72747 8.18822i −0.200489 0.347258i
\(557\) −3.92396 + 14.6444i −0.166263 + 0.620503i 0.831612 + 0.555357i \(0.187418\pi\)
−0.997876 + 0.0651468i \(0.979248\pi\)
\(558\) −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
\(562\) −25.1431 −1.06060
\(563\) 19.4232 0.818591 0.409295 0.912402i \(-0.365775\pi\)
0.409295 + 0.912402i \(0.365775\pi\)
\(564\) −0.859880 3.20911i −0.0362075 0.135128i
\(565\) 66.1794 17.7327i 2.78419 0.746021i
\(566\) −13.3172 3.56833i −0.559763 0.149988i
\(567\) 2.64572 0.0127227i 0.111110 0.000534305i
\(568\) −7.70329 13.3425i −0.323223 0.559838i
\(569\) 44.9997i 1.88649i −0.332103 0.943243i \(-0.607758\pi\)
0.332103 0.943243i \(-0.392242\pi\)
\(570\) 9.97745 + 2.67345i 0.417910 + 0.111979i
\(571\) −24.2146 13.9803i −1.01335 0.585058i −0.101180 0.994868i \(-0.532262\pi\)
−0.912171 + 0.409810i \(0.865595\pi\)
\(572\) −1.69732 + 1.52751i −0.0709686 + 0.0638684i
\(573\) 5.27268i 0.220270i
\(574\) −1.68796 2.89143i −0.0704541 0.120686i
\(575\) 32.1140 55.6230i 1.33924 2.31964i
\(576\) 0.866025 + 0.500000i 0.0360844 + 0.0208333i
\(577\) −42.1222 + 11.2866i −1.75357 + 0.469868i −0.985383 0.170356i \(-0.945508\pi\)
−0.768188 + 0.640224i \(0.778841\pi\)
\(578\) 12.7376 12.7376i 0.529815 0.529815i
\(579\) −3.53613 13.1970i −0.146957 0.548450i
\(580\) −4.09661 + 4.09661i −0.170103 + 0.170103i
\(581\) −20.6751 + 5.64656i −0.857746 + 0.234259i
\(582\) 6.54547 + 3.77903i 0.271319 + 0.156646i
\(583\) 5.33819 + 5.33819i 0.221085 + 0.221085i
\(584\) 4.14740 7.18350i 0.171620 0.297255i
\(585\) −14.7434 + 3.12997i −0.609564 + 0.129408i
\(586\) −2.74769 + 1.58638i −0.113506 + 0.0655327i
\(587\) −9.26294 + 2.48200i −0.382322 + 0.102443i −0.444861 0.895600i \(-0.646747\pi\)
0.0625387 + 0.998043i \(0.480080\pi\)
\(588\) −3.44154 + 6.09556i −0.141927 + 0.251377i
\(589\) 11.8712 6.85383i 0.489144 0.282407i
\(590\) 48.7376 + 13.0592i 2.00650 + 0.537639i
\(591\) 8.95271 + 8.95271i 0.368265 + 0.368265i
\(592\) 1.59342 + 1.59342i 0.0654893 + 0.0654893i
\(593\) 4.80089 + 1.28640i 0.197149 + 0.0528259i 0.356042 0.934470i \(-0.384126\pi\)
−0.158893 + 0.987296i \(0.550793\pi\)
\(594\) 0.548469 0.316659i 0.0225040 0.0129927i
\(595\) −46.4975 46.0524i −1.90621 1.88797i
\(596\) −13.5501 + 3.63073i −0.555032 + 0.148720i
\(597\) −5.19335 + 2.99838i −0.212549 + 0.122716i
\(598\) −18.1598 + 3.85527i −0.742611 + 0.157654i
\(599\) −11.6073 + 20.1044i −0.474260 + 0.821443i −0.999566 0.0294711i \(-0.990618\pi\)
0.525305 + 0.850914i \(0.323951\pi\)
\(600\) 8.82055 + 8.82055i 0.360098 + 0.360098i
\(601\) −29.9917 17.3157i −1.22339 0.706322i −0.257748 0.966212i \(-0.582980\pi\)
−0.965638 + 0.259890i \(0.916314\pi\)
\(602\) −5.22605 5.17603i −0.212998 0.210959i
\(603\) −4.49136 + 4.49136i −0.182902 + 0.182902i
\(604\) 1.90212 + 7.09882i 0.0773963 + 0.288847i
\(605\) −31.3288 + 31.3288i −1.27370 + 1.27370i
\(606\) 4.05718 1.08712i 0.164812 0.0441611i
\(607\) 32.4478 + 18.7338i 1.31702 + 0.760380i 0.983248 0.182275i \(-0.0583461\pi\)
0.333769 + 0.942655i \(0.391679\pi\)
\(608\) −1.23551 + 2.13997i −0.0501067 + 0.0867874i
\(609\) −3.18435 1.81812i −0.129036 0.0736741i
\(610\) 51.7750i 2.09631i
\(611\) −8.90397 + 8.01316i −0.360216 + 0.324178i
\(612\) −5.12448 2.95862i −0.207145 0.119595i
\(613\) −11.5890 3.10527i −0.468076 0.125421i 0.0170688 0.999854i \(-0.494567\pi\)
−0.485145 + 0.874434i \(0.661233\pi\)
\(614\) 14.8989i 0.601271i
\(615\) −2.64493 4.58115i −0.106654 0.184730i
\(616\) 0.00805754 + 1.67558i 0.000324648 + 0.0675111i
\(617\) −1.90489 0.510413i −0.0766879 0.0205485i 0.220271 0.975439i \(-0.429306\pi\)
−0.296959 + 0.954890i \(0.595972\pi\)
\(618\) −1.37548 + 0.368559i −0.0553300 + 0.0148256i
\(619\) 4.98570 + 18.6069i 0.200392 + 0.747874i 0.990805 + 0.135299i \(0.0431995\pi\)
−0.790413 + 0.612575i \(0.790134\pi\)
\(620\) 23.1891 0.931296
\(621\) 5.14888 0.206618
\(622\) 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
\(626\) 0.515651 1.92443i 0.0206096 0.0769159i
\(627\) 0.782474 + 1.35528i 0.0312490 + 0.0541248i
\(628\) −10.7052 + 18.5419i −0.427182 + 0.739902i
\(629\) −9.42866 9.42866i −0.375945 0.375945i
\(630\) −5.48377 + 9.60454i −0.218479 + 0.382654i
\(631\) 8.30437 30.9923i 0.330592 1.23378i −0.577978 0.816052i \(-0.696158\pi\)
0.908570 0.417733i \(-0.137175\pi\)
\(632\) −0.110619 + 0.412834i −0.00440017 + 0.0164217i
\(633\) 21.1188i 0.839399i
\(634\) −18.3560 + 10.5979i −0.729011 + 0.420895i
\(635\) −54.4191 + 54.4191i −2.15956 + 2.15956i
\(636\) −11.9203 −0.472671
\(637\) 25.2155 + 1.08471i 0.999076 + 0.0429778i
\(638\) −0.877735 −0.0347499
\(639\) 10.8941 10.8941i 0.430964 0.430964i
\(640\) −3.62017 + 2.09010i −0.143100 + 0.0826186i
\(641\) 33.7682i 1.33376i −0.745163 0.666882i \(-0.767628\pi\)
0.745163 0.666882i \(-0.232372\pi\)
\(642\) −2.83583 + 10.5834i −0.111921 + 0.417695i
\(643\) −9.13754 + 34.1018i −0.360349 + 1.34484i 0.513268 + 0.858228i \(0.328435\pi\)
−0.873617 + 0.486614i \(0.838232\pi\)
\(644\) −6.75452 + 11.8302i −0.266165 + 0.466175i
\(645\) −8.21758 8.21758i −0.323567 0.323567i
\(646\) 7.31084 12.6627i 0.287641 0.498209i
\(647\) −6.77441 11.7336i −0.266330 0.461296i 0.701582 0.712589i \(-0.252478\pi\)
−0.967911 + 0.251293i \(0.919144\pi\)
\(648\) −0.258819 + 0.965926i −0.0101674 + 0.0379452i
\(649\) 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
\(653\) −3.94374 −0.154330 −0.0771652 0.997018i \(-0.524587\pi\)
−0.0771652 + 0.997018i \(0.524587\pi\)
\(654\) −1.16193 −0.0454349
\(655\) 11.6756 + 43.5740i 0.456204 + 1.70258i
\(656\) 1.22233 0.327523i 0.0477241 0.0127876i
\(657\) 8.01215 + 2.14685i 0.312584 + 0.0837566i
\(658\) 0.0422690 + 8.78993i 0.00164782 + 0.342667i
\(659\) 2.53663 + 4.39357i 0.0988130 + 0.171149i 0.911194 0.411978i \(-0.135162\pi\)
−0.812381 + 0.583128i \(0.801829\pi\)
\(660\) 2.64740i 0.103050i
\(661\) −42.4863 11.3842i −1.65252 0.442793i −0.692207 0.721699i \(-0.743361\pi\)
−0.960318 + 0.278907i \(0.910028\pi\)
\(662\) 8.13012 + 4.69393i 0.315986 + 0.182435i
\(663\) −1.12188 + 21.3054i −0.0435702 + 0.827433i
\(664\) 8.10063i 0.314366i
\(665\) −23.7331 13.5506i −0.920331 0.525469i
\(666\) −1.12672 + 1.95154i −0.0436595 + 0.0756205i
\(667\) −6.17996 3.56800i −0.239289 0.138154i
\(668\) 18.4031 4.93109i 0.712037 0.190790i
\(669\) −13.8050 + 13.8050i −0.533732 + 0.533732i
\(670\) −6.87207 25.6469i −0.265491 0.990826i
\(671\) 5.54662 5.54662i 0.214125 0.214125i
\(672\) −1.87980 1.86181i −0.0725150 0.0718209i
\(673\) 38.3345 + 22.1325i 1.47769 + 0.853144i 0.999682 0.0252127i \(-0.00802631\pi\)
0.478006 + 0.878356i \(0.341360\pi\)
\(674\) 11.1459 + 11.1459i 0.429324 + 0.429324i
\(675\) −6.23707 + 10.8029i −0.240065 + 0.415805i
\(676\) −11.8787 + 5.28167i −0.456874 + 0.203141i
\(677\) −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
\(679\) −14.2077 14.0717i −0.545240 0.540021i
\(680\) 21.4214 12.3676i 0.821473 0.474278i
\(681\) 19.5147 + 5.22895i 0.747805 + 0.200374i
\(682\) 2.48423 + 2.48423i 0.0951262 + 0.0951262i
\(683\) −15.6930 15.6930i −0.600475 0.600475i 0.339964 0.940438i \(-0.389585\pi\)
−0.940438 + 0.339964i \(0.889585\pi\)
\(684\) −2.38683 0.639550i −0.0912628 0.0244538i
\(685\) −53.9068 + 31.1231i −2.05967 + 1.18915i
\(686\) 12.9055 13.2834i 0.492735 0.507161i
\(687\) −1.82487 + 0.488972i −0.0696230 + 0.0186554i
\(688\) 2.40764 1.39005i 0.0917905 0.0529953i
\(689\) 19.5027 + 38.2997i 0.742993 + 1.45910i
\(690\) −10.7617 + 18.6398i −0.409691 + 0.709606i
\(691\) 14.6882 + 14.6882i 0.558766 + 0.558766i 0.928956 0.370190i \(-0.120707\pi\)
−0.370190 + 0.928956i \(0.620707\pi\)
\(692\) −13.1669 7.60190i −0.500530 0.288981i
\(693\) −1.61640 + 0.441456i −0.0614021 + 0.0167695i
\(694\) 4.87232 4.87232i 0.184951 0.184951i
\(695\) 10.2295 + 38.1769i 0.388026 + 1.44813i
\(696\) 0.980002 0.980002i 0.0371469 0.0371469i
\(697\) −7.23283 + 1.93803i −0.273963 + 0.0734082i
\(698\) −19.6283 11.3324i −0.742941 0.428937i
\(699\) 0.193054 0.334379i 0.00730198 0.0126474i
\(700\) −16.6390 28.5022i −0.628895 1.07728i
\(701\) 14.0967i 0.532426i 0.963914 + 0.266213i \(0.0857725\pi\)
−0.963914 + 0.266213i \(0.914228\pi\)
\(702\) 3.52695 0.748759i 0.133116 0.0282601i
\(703\) −4.82231 2.78416i −0.181877 0.105007i
\(704\) −0.611738 0.163915i −0.0230557 0.00617777i
\(705\) 13.8880i 0.523052i
\(706\) −0.464302 0.804194i −0.0174742 0.0302662i
\(707\) −11.1128 + 0.0534394i −0.417941 + 0.00200979i
\(708\) −11.6591 3.12406i −0.438177 0.117409i
\(709\) −15.5374 + 4.16322i −0.583518 + 0.156353i −0.538489 0.842632i \(-0.681005\pi\)
−0.0450290 + 0.998986i \(0.514338\pi\)
\(710\) 16.6686 + 62.2082i 0.625563 + 2.33463i
\(711\) −0.427398 −0.0160287
\(712\) 1.67857 0.0629072
\(713\) 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
\(717\) 1.68642 6.29380i 0.0629805 0.235046i
\(718\) 3.24616 + 5.62251i 0.121146 + 0.209830i
\(719\) 26.1786 45.3426i 0.976296 1.69099i 0.300705 0.953717i \(-0.402778\pi\)
0.675591 0.737277i \(-0.263889\pi\)
\(720\) −2.95585 2.95585i −0.110158 0.110158i
\(721\) 3.76752 0.0181172i 0.140310 0.000674721i
\(722\) −3.33722 + 12.4547i −0.124198 + 0.463514i
\(723\) 3.87262 14.4528i 0.144024 0.537506i
\(724\) 19.5707i 0.727340i
\(725\) 14.9721 8.64416i 0.556051 0.321036i
\(726\) 7.49456 7.49456i 0.278149 0.278149i
\(727\) 14.4888 0.537359 0.268680 0.963230i \(-0.413413\pi\)
0.268680 + 0.963230i \(0.413413\pi\)
\(728\) −2.90643 + 9.08585i −0.107720 + 0.336744i
\(729\) −1.00000 −0.0370370
\(730\) −24.5182 + 24.5182i −0.907459 + 0.907459i
\(731\) −14.2466 + 8.22527i −0.526929 + 0.304223i
\(732\) 12.3857i 0.457790i
\(733\) −0.624291 + 2.32989i −0.0230587 + 0.0860563i −0.976496 0.215534i \(-0.930851\pi\)
0.953438 + 0.301590i \(0.0975175\pi\)
\(734\) 6.73128 25.1215i 0.248456 0.927250i
\(735\) 20.4910 20.8890i 0.755823 0.770503i
\(736\) −3.64081 3.64081i −0.134202 0.134202i
\(737\) 2.01134 3.48374i 0.0740886 0.128325i
\(738\) 0.632726 + 1.09591i 0.0232910 + 0.0403411i
\(739\) −9.09911 + 33.9583i −0.334716 + 1.24918i 0.569460 + 0.822019i \(0.307152\pi\)
−0.904176 + 0.427159i \(0.859514\pi\)
\(740\) −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 −0.996306 0.0858740i \(-0.972632\pi\)
0.819889 0.572522i \(-0.194035\pi\)
\(744\) −5.54735 −0.203376
\(745\) 58.6402 2.14841
\(746\) −6.65693 24.8440i −0.243727 0.909603i
\(747\) 7.82461 2.09660i 0.286288 0.0767105i
\(748\) 3.61980 + 0.969922i 0.132353 + 0.0354639i
\(749\) 14.3736 25.1746i 0.525199 0.919859i
\(750\) −15.6217 27.0577i −0.570426 0.988006i
\(751\) 16.1289i 0.588552i −0.955721 0.294276i \(-0.904922\pi\)
0.955721 0.294276i \(-0.0950785\pi\)
\(752\) −3.20911 0.859880i −0.117024 0.0313566i
\(753\) 13.5662 + 7.83244i 0.494379 + 0.285430i
\(754\) −4.75209 1.54535i −0.173061 0.0562785i
\(755\) 30.7214i 1.11806i
\(756\) 1.31184 2.29762i 0.0477112 0.0835637i
\(757\) −0.821968 + 1.42369i −0.0298749 + 0.0517449i −0.880576 0.473904i \(-0.842844\pi\)
0.850701 + 0.525649i \(0.176178\pi\)
\(758\) −25.4304 14.6823i −0.923675 0.533284i
\(759\) −3.14977 + 0.843978i −0.114329 + 0.0306345i
\(760\) 7.30400 7.30400i 0.264944 0.264944i
\(761\) 13.7057 + 51.1504i 0.496832 + 1.85420i 0.519519 + 0.854459i \(0.326111\pi\)
−0.0226867 + 0.999743i \(0.507222\pi\)
\(762\) 13.0183 13.0183i 0.471602 0.471602i
\(763\) 2.97321 + 0.781365i 0.107637 + 0.0282873i
\(764\) 4.56628 + 2.63634i 0.165202 + 0.0953795i
\(765\) 17.4905 + 17.4905i 0.632370 + 0.632370i
\(766\) −6.31661 + 10.9407i −0.228228 + 0.395303i
\(767\) 9.03784 + 42.5718i 0.326338 + 1.53718i
\(768\) 0.866025 0.500000i 0.0312500 0.0180422i
\(769\) 2.73506 0.732858i 0.0986289 0.0264275i −0.209167 0.977880i \(-0.567075\pi\)
0.307796 + 0.951452i \(0.400409\pi\)
\(770\) 1.78031 6.77434i 0.0641578 0.244130i
\(771\) 24.8529 14.3488i 0.895055 0.516760i
\(772\) −13.1970 3.53613i −0.474971 0.127268i
\(773\) −9.14714 9.14714i −0.329000 0.329000i 0.523206 0.852206i \(-0.324736\pi\)
−0.852206 + 0.523206i \(0.824736\pi\)
\(774\) 1.96583 +