Properties

Label 546.2.bv.a.515.34
Level $546$
Weight $2$
Character 546.515
Analytic conductor $4.360$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $8$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(36\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 515.34
Character \(\chi\) \(=\) 546.515
Dual form 546.2.bv.a.317.34

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 + 0.258819i) q^{2} +(1.61049 + 0.637432i) q^{3} +(0.866025 + 0.500000i) q^{4} +(2.88157 + 0.772115i) q^{5} +(1.39063 + 1.03254i) q^{6} +(-2.53580 - 0.754783i) q^{7} +(0.707107 + 0.707107i) q^{8} +(2.18736 + 2.05316i) q^{9} +O(q^{10})\) \(q+(0.965926 + 0.258819i) q^{2} +(1.61049 + 0.637432i) q^{3} +(0.866025 + 0.500000i) q^{4} +(2.88157 + 0.772115i) q^{5} +(1.39063 + 1.03254i) q^{6} +(-2.53580 - 0.754783i) q^{7} +(0.707107 + 0.707107i) q^{8} +(2.18736 + 2.05316i) q^{9} +(2.58355 + 1.49161i) q^{10} +(-0.475494 + 0.127408i) q^{11} +(1.07601 + 1.35728i) q^{12} +(-3.60146 - 0.171677i) q^{13} +(-2.25405 - 1.38538i) q^{14} +(4.14857 + 3.08029i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-0.186739 + 0.323441i) q^{17} +(1.58143 + 2.54933i) q^{18} +(0.747436 - 2.78947i) q^{19} +(2.10946 + 2.10946i) q^{20} +(-3.60277 - 2.83197i) q^{21} -0.492267 q^{22} +(-3.98818 - 6.90774i) q^{23} +(0.688056 + 1.58952i) q^{24} +(3.37717 + 1.94981i) q^{25} +(-3.43431 - 1.09795i) q^{26} +(2.21397 + 4.70088i) q^{27} +(-1.81868 - 1.92156i) q^{28} -0.582580i q^{29} +(3.20998 + 4.04906i) q^{30} +(4.88185 - 1.30809i) q^{31} +(0.258819 + 0.965926i) q^{32} +(-0.846992 - 0.0979054i) q^{33} +(-0.264088 + 0.264088i) q^{34} +(-6.72432 - 4.13290i) q^{35} +(0.867731 + 2.87177i) q^{36} +(-2.74184 - 0.734674i) q^{37} +(1.44393 - 2.50097i) q^{38} +(-5.69069 - 2.57217i) q^{39} +(1.49161 + 2.58355i) q^{40} +(-6.61487 + 6.61487i) q^{41} +(-2.74704 - 3.66794i) q^{42} +2.66245i q^{43} +(-0.475494 - 0.127408i) q^{44} +(4.71776 + 7.60521i) q^{45} +(-2.06444 - 7.70458i) q^{46} +(3.42585 - 12.7854i) q^{47} +(0.253213 + 1.71344i) q^{48} +(5.86060 + 3.82797i) q^{49} +(2.75745 + 2.75745i) q^{50} +(-0.506912 + 0.401865i) q^{51} +(-3.03312 - 1.94941i) q^{52} +(2.82305 + 1.62989i) q^{53} +(0.921857 + 5.11372i) q^{54} -1.46854 q^{55} +(-1.25937 - 2.32680i) q^{56} +(2.98183 - 4.01597i) q^{57} +(0.150783 - 0.562729i) q^{58} +(-6.22585 + 1.66821i) q^{59} +(2.05263 + 4.74190i) q^{60} +(3.77475 + 6.53807i) q^{61} +5.05407 q^{62} +(-3.99703 - 6.85739i) q^{63} +1.00000i q^{64} +(-10.2453 - 3.27544i) q^{65} +(-0.792792 - 0.313787i) q^{66} +(2.82615 - 0.757263i) q^{67} +(-0.323441 + 0.186739i) q^{68} +(-2.01972 - 13.6670i) q^{69} +(-5.42553 - 5.73245i) q^{70} +(-0.908221 + 0.908221i) q^{71} +(0.0948959 + 2.99850i) q^{72} +(0.884917 + 3.30256i) q^{73} +(-2.45827 - 1.41928i) q^{74} +(4.19603 + 5.29287i) q^{75} +(2.04203 - 2.04203i) q^{76} +(1.30192 + 0.0358127i) q^{77} +(-4.83106 - 3.95739i) q^{78} +(5.68471 + 9.84621i) q^{79} +(0.772115 + 2.88157i) q^{80} +(0.569090 + 8.98199i) q^{81} +(-8.10152 + 4.67742i) q^{82} +(9.25218 - 9.25218i) q^{83} +(-1.70410 - 4.25394i) q^{84} +(-0.787834 + 0.787834i) q^{85} +(-0.689092 + 2.57173i) q^{86} +(0.371355 - 0.938240i) q^{87} +(-0.426316 - 0.246134i) q^{88} +(-0.844833 + 3.15296i) q^{89} +(2.58864 + 8.56712i) q^{90} +(9.00302 + 3.15366i) q^{91} -7.97637i q^{92} +(8.69600 + 1.00519i) q^{93} +(6.61822 - 11.4631i) q^{94} +(4.30758 - 7.46095i) q^{95} +(-0.198887 + 1.72059i) q^{96} +(-12.1530 - 12.1530i) q^{97} +(4.67016 + 5.21437i) q^{98} +(-1.30167 - 0.697576i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 16 q^{7} + O(q^{10}) \) \( 144 q - 16 q^{7} + 72 q^{16} + 16 q^{18} + 8 q^{19} + 8 q^{21} + 24 q^{27} - 8 q^{28} - 8 q^{31} + 12 q^{33} - 8 q^{37} + 16 q^{39} - 40 q^{45} + 8 q^{46} + 8 q^{52} - 12 q^{54} - 32 q^{55} + 16 q^{57} + 8 q^{58} - 32 q^{61} - 40 q^{63} - 32 q^{66} - 8 q^{67} + 16 q^{72} + 80 q^{73} - 16 q^{76} + 16 q^{78} - 112 q^{79} - 48 q^{81} + 16 q^{84} - 80 q^{85} + 96 q^{87} - 32 q^{91} + 36 q^{93} - 64 q^{94} - 144 q^{97} - 32 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(e\left(\frac{1}{4}\right)\)

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
\(3\) 1.61049 + 0.637432i 0.929817 + 0.368022i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) 2.88157 + 0.772115i 1.28868 + 0.345300i 0.837158 0.546961i \(-0.184215\pi\)
0.451520 + 0.892261i \(0.350882\pi\)
\(6\) 1.39063 + 1.03254i 0.567724 + 0.421532i
\(7\) −2.53580 0.754783i −0.958444 0.285281i
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) 2.18736 + 2.05316i 0.729120 + 0.684386i
\(10\) 2.58355 + 1.49161i 0.816989 + 0.471689i
\(11\) −0.475494 + 0.127408i −0.143367 + 0.0384150i −0.329789 0.944055i \(-0.606978\pi\)
0.186422 + 0.982470i \(0.440311\pi\)
\(12\) 1.07601 + 1.35728i 0.310617 + 0.391812i
\(13\) −3.60146 0.171677i −0.998866 0.0476147i
\(14\) −2.25405 1.38538i −0.602419 0.370258i
\(15\) 4.14857 + 3.08029i 1.07116 + 0.795328i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −0.186739 + 0.323441i −0.0452908 + 0.0784459i −0.887782 0.460264i \(-0.847755\pi\)
0.842491 + 0.538710i \(0.181088\pi\)
\(18\) 1.58143 + 2.54933i 0.372747 + 0.600882i
\(19\) 0.747436 2.78947i 0.171473 0.639948i −0.825652 0.564180i \(-0.809192\pi\)
0.997125 0.0757680i \(-0.0241408\pi\)
\(20\) 2.10946 + 2.10946i 0.471689 + 0.471689i
\(21\) −3.60277 2.83197i −0.786188 0.617988i
\(22\) −0.492267 −0.104952
\(23\) −3.98818 6.90774i −0.831594 1.44036i −0.896774 0.442489i \(-0.854096\pi\)
0.0651804 0.997873i \(-0.479238\pi\)
\(24\) 0.688056 + 1.58952i 0.140449 + 0.324460i
\(25\) 3.37717 + 1.94981i 0.675434 + 0.389962i
\(26\) −3.43431 1.09795i −0.673524 0.215327i
\(27\) 2.21397 + 4.70088i 0.426080 + 0.904686i
\(28\) −1.81868 1.92156i −0.343698 0.363141i
\(29\) 0.582580i 0.108182i −0.998536 0.0540912i \(-0.982774\pi\)
0.998536 0.0540912i \(-0.0172262\pi\)
\(30\) 3.20998 + 4.04906i 0.586059 + 0.739254i
\(31\) 4.88185 1.30809i 0.876807 0.234940i 0.207778 0.978176i \(-0.433377\pi\)
0.669029 + 0.743236i \(0.266710\pi\)
\(32\) 0.258819 + 0.965926i 0.0457532 + 0.170753i
\(33\) −0.846992 0.0979054i −0.147442 0.0170431i
\(34\) −0.264088 + 0.264088i −0.0452908 + 0.0452908i
\(35\) −6.72432 4.13290i −1.13662 0.698587i
\(36\) 0.867731 + 2.87177i 0.144622 + 0.478628i
\(37\) −2.74184 0.734674i −0.450756 0.120780i 0.0262971 0.999654i \(-0.491628\pi\)
−0.477053 + 0.878874i \(0.658295\pi\)
\(38\) 1.44393 2.50097i 0.234237 0.405711i
\(39\) −5.69069 2.57217i −0.911239 0.411877i
\(40\) 1.49161 + 2.58355i 0.235845 + 0.408495i
\(41\) −6.61487 + 6.61487i −1.03307 + 1.03307i −0.0336345 + 0.999434i \(0.510708\pi\)
−0.999434 + 0.0336345i \(0.989292\pi\)
\(42\) −2.74704 3.66794i −0.423877 0.565976i
\(43\) 2.66245i 0.406019i 0.979177 + 0.203010i \(0.0650723\pi\)
−0.979177 + 0.203010i \(0.934928\pi\)
\(44\) −0.475494 0.127408i −0.0716834 0.0192075i
\(45\) 4.71776 + 7.60521i 0.703283 + 1.13372i
\(46\) −2.06444 7.70458i −0.304384 1.13598i
\(47\) 3.42585 12.7854i 0.499711 1.86495i −0.00214941 0.999998i \(-0.500684\pi\)
0.501860 0.864949i \(-0.332649\pi\)
\(48\) 0.253213 + 1.71344i 0.0365481 + 0.247314i
\(49\) 5.86060 + 3.82797i 0.837229 + 0.546852i
\(50\) 2.75745 + 2.75745i 0.389962 + 0.389962i
\(51\) −0.506912 + 0.401865i −0.0709819 + 0.0562724i
\(52\) −3.03312 1.94941i −0.420618 0.270334i
\(53\) 2.82305 + 1.62989i 0.387776 + 0.223882i 0.681196 0.732101i \(-0.261460\pi\)
−0.293420 + 0.955984i \(0.594794\pi\)
\(54\) 0.921857 + 5.11372i 0.125449 + 0.695890i
\(55\) −1.46854 −0.198018
\(56\) −1.25937 2.32680i −0.168291 0.310931i
\(57\) 2.98183 4.01597i 0.394954 0.531929i
\(58\) 0.150783 0.562729i 0.0197988 0.0738899i
\(59\) −6.22585 + 1.66821i −0.810537 + 0.217183i −0.640205 0.768204i \(-0.721151\pi\)
−0.170332 + 0.985387i \(0.554484\pi\)
\(60\) 2.05263 + 4.74190i 0.264993 + 0.612176i
\(61\) 3.77475 + 6.53807i 0.483308 + 0.837114i 0.999816 0.0191684i \(-0.00610187\pi\)
−0.516508 + 0.856282i \(0.672769\pi\)
\(62\) 5.05407 0.641867
\(63\) −3.99703 6.85739i −0.503578 0.863950i
\(64\) 1.00000i 0.125000i
\(65\) −10.2453 3.27544i −1.27078 0.406269i
\(66\) −0.792792 0.313787i −0.0975860 0.0386245i
\(67\) 2.82615 0.757263i 0.345269 0.0925144i −0.0820176 0.996631i \(-0.526136\pi\)
0.427286 + 0.904116i \(0.359470\pi\)
\(68\) −0.323441 + 0.186739i −0.0392230 + 0.0226454i
\(69\) −2.01972 13.6670i −0.243145 1.64532i
\(70\) −5.42553 5.73245i −0.648474 0.685159i
\(71\) −0.908221 + 0.908221i −0.107786 + 0.107786i −0.758943 0.651157i \(-0.774284\pi\)
0.651157 + 0.758943i \(0.274284\pi\)
\(72\) 0.0948959 + 2.99850i 0.0111836 + 0.353376i
\(73\) 0.884917 + 3.30256i 0.103572 + 0.386535i 0.998179 0.0603179i \(-0.0192114\pi\)
−0.894608 + 0.446853i \(0.852545\pi\)
\(74\) −2.45827 1.41928i −0.285768 0.164988i
\(75\) 4.19603 + 5.29287i 0.484516 + 0.611168i
\(76\) 2.04203 2.04203i 0.234237 0.234237i
\(77\) 1.30192 + 0.0358127i 0.148368 + 0.00408123i
\(78\) −4.83106 3.95739i −0.547009 0.448086i
\(79\) 5.68471 + 9.84621i 0.639580 + 1.10779i 0.985525 + 0.169530i \(0.0542251\pi\)
−0.345945 + 0.938255i \(0.612442\pi\)
\(80\) 0.772115 + 2.88157i 0.0863251 + 0.322170i
\(81\) 0.569090 + 8.98199i 0.0632323 + 0.997999i
\(82\) −8.10152 + 4.67742i −0.894664 + 0.516534i
\(83\) 9.25218 9.25218i 1.01556 1.01556i 0.0156815 0.999877i \(-0.495008\pi\)
0.999877 0.0156815i \(-0.00499178\pi\)
\(84\) −1.70410 4.25394i −0.185932 0.464143i
\(85\) −0.787834 + 0.787834i −0.0854526 + 0.0854526i
\(86\) −0.689092 + 2.57173i −0.0743067 + 0.277316i
\(87\) 0.371355 0.938240i 0.0398135 0.100590i
\(88\) −0.426316 0.246134i −0.0454454 0.0262379i
\(89\) −0.844833 + 3.15296i −0.0895521 + 0.334213i −0.996137 0.0878099i \(-0.972013\pi\)
0.906585 + 0.422023i \(0.138680\pi\)
\(90\) 2.58864 + 8.56712i 0.272866 + 0.903054i
\(91\) 9.00302 + 3.15366i 0.943773 + 0.330594i
\(92\) 7.97637i 0.831594i
\(93\) 8.69600 + 1.00519i 0.901733 + 0.104233i
\(94\) 6.61822 11.4631i 0.682618 1.18233i
\(95\) 4.30758 7.46095i 0.441948 0.765477i
\(96\) −0.198887 + 1.72059i −0.0202988 + 0.175607i
\(97\) −12.1530 12.1530i −1.23395 1.23395i −0.962433 0.271521i \(-0.912473\pi\)
−0.271521 0.962433i \(-0.587527\pi\)
\(98\) 4.67016 + 5.21437i 0.471757 + 0.526731i
\(99\) −1.30167 0.697576i −0.130822 0.0701090i
\(100\) 1.94981 + 3.37717i 0.194981 + 0.337717i
\(101\) 5.60907 9.71519i 0.558123 0.966698i −0.439530 0.898228i \(-0.644855\pi\)
0.997653 0.0684698i \(-0.0218117\pi\)
\(102\) −0.593650 + 0.256973i −0.0587801 + 0.0254442i
\(103\) −2.83222 + 1.63518i −0.279067 + 0.161119i −0.633001 0.774151i \(-0.718177\pi\)
0.353934 + 0.935270i \(0.384844\pi\)
\(104\) −2.42522 2.66801i −0.237813 0.261620i
\(105\) −8.19502 10.9423i −0.799752 1.06786i
\(106\) 2.30501 + 2.30501i 0.223882 + 0.223882i
\(107\) −13.9686 + 8.06480i −1.35040 + 0.779653i −0.988305 0.152488i \(-0.951271\pi\)
−0.362094 + 0.932142i \(0.617938\pi\)
\(108\) −0.433084 + 5.17807i −0.0416735 + 0.498260i
\(109\) −11.9725 + 3.20802i −1.14676 + 0.307273i −0.781665 0.623698i \(-0.785629\pi\)
−0.365093 + 0.930971i \(0.618963\pi\)
\(110\) −1.41850 0.380087i −0.135249 0.0362399i
\(111\) −3.94741 2.93092i −0.374671 0.278191i
\(112\) −0.614240 2.57346i −0.0580403 0.243169i
\(113\) 5.71666i 0.537778i 0.963171 + 0.268889i \(0.0866564\pi\)
−0.963171 + 0.268889i \(0.913344\pi\)
\(114\) 3.91964 3.10738i 0.367108 0.291032i
\(115\) −6.15867 22.9845i −0.574299 2.14331i
\(116\) 0.291290 0.504529i 0.0270456 0.0468443i
\(117\) −7.52521 7.76989i −0.695706 0.718326i
\(118\) −6.44548 −0.593354
\(119\) 0.717660 0.679235i 0.0657878 0.0622654i
\(120\) 0.755390 + 5.11158i 0.0689574 + 0.466621i
\(121\) −9.31642 + 5.37884i −0.846947 + 0.488985i
\(122\) 1.95396 + 7.29227i 0.176903 + 0.660211i
\(123\) −14.8697 + 6.43665i −1.34076 + 0.580373i
\(124\) 4.88185 + 1.30809i 0.438403 + 0.117470i
\(125\) −2.32120 2.32120i −0.207615 0.207615i
\(126\) −2.08601 7.65823i −0.185837 0.682250i
\(127\) 2.92468i 0.259523i 0.991545 + 0.129762i \(0.0414212\pi\)
−0.991545 + 0.129762i \(0.958579\pi\)
\(128\) −0.258819 + 0.965926i −0.0228766 + 0.0853766i
\(129\) −1.69713 + 4.28784i −0.149424 + 0.377524i
\(130\) −9.04847 5.81552i −0.793603 0.510055i
\(131\) 15.5403 8.97222i 1.35777 0.783906i 0.368443 0.929650i \(-0.379891\pi\)
0.989322 + 0.145744i \(0.0465577\pi\)
\(132\) −0.684564 0.508285i −0.0595837 0.0442405i
\(133\) −4.00079 + 6.50939i −0.346913 + 0.564436i
\(134\) 2.92584 0.252754
\(135\) 2.75010 + 15.2554i 0.236691 + 1.31297i
\(136\) −0.360751 + 0.0966630i −0.0309342 + 0.00828879i
\(137\) 9.18646 2.46150i 0.784852 0.210301i 0.155929 0.987768i \(-0.450163\pi\)
0.628923 + 0.777468i \(0.283496\pi\)
\(138\) 1.58639 13.7241i 0.135043 1.16827i
\(139\) −21.3820 −1.81360 −0.906799 0.421563i \(-0.861482\pi\)
−0.906799 + 0.421563i \(0.861482\pi\)
\(140\) −3.75699 6.94135i −0.317523 0.586651i
\(141\) 13.6671 18.4071i 1.15098 1.55015i
\(142\) −1.11234 + 0.642209i −0.0933454 + 0.0538930i
\(143\) 1.73435 0.377224i 0.145033 0.0315451i
\(144\) −0.684406 + 2.92089i −0.0570339 + 0.243407i
\(145\) 0.449819 1.67875i 0.0373554 0.139412i
\(146\) 3.41906i 0.282963i
\(147\) 6.99838 + 9.90064i 0.577217 + 0.816591i
\(148\) −2.00717 2.00717i −0.164988 0.164988i
\(149\) −3.79524 1.01693i −0.310919 0.0833104i 0.0999857 0.994989i \(-0.468120\pi\)
−0.410904 + 0.911679i \(0.634787\pi\)
\(150\) 2.68316 + 6.19853i 0.219079 + 0.506108i
\(151\) 2.58226 + 9.63711i 0.210141 + 0.784257i 0.987821 + 0.155596i \(0.0497299\pi\)
−0.777680 + 0.628661i \(0.783603\pi\)
\(152\) 2.50097 1.44393i 0.202855 0.117119i
\(153\) −1.07254 + 0.324078i −0.0867097 + 0.0262001i
\(154\) 1.24829 + 0.371555i 0.100590 + 0.0299408i
\(155\) 15.0774 1.21105
\(156\) −3.64219 5.07291i −0.291609 0.406158i
\(157\) 10.7467 18.6139i 0.857682 1.48555i −0.0164529 0.999865i \(-0.505237\pi\)
0.874135 0.485684i \(-0.161429\pi\)
\(158\) 2.94262 + 10.9820i 0.234103 + 0.873683i
\(159\) 3.50755 + 4.42442i 0.278167 + 0.350879i
\(160\) 2.98322i 0.235845i
\(161\) 4.89941 + 20.5269i 0.386127 + 1.61774i
\(162\) −1.77501 + 8.82323i −0.139458 + 0.693218i
\(163\) 18.4238 + 4.93665i 1.44306 + 0.386668i 0.893606 0.448853i \(-0.148167\pi\)
0.549459 + 0.835521i \(0.314834\pi\)
\(164\) −9.03608 + 2.42121i −0.705599 + 0.189065i
\(165\) −2.36508 0.936097i −0.184121 0.0728751i
\(166\) 11.3316 6.54228i 0.879500 0.507779i
\(167\) −9.06640 9.06640i −0.701579 0.701579i 0.263170 0.964749i \(-0.415232\pi\)
−0.964749 + 0.263170i \(0.915232\pi\)
\(168\) −0.545031 4.55005i −0.0420501 0.351044i
\(169\) 12.9411 + 1.23658i 0.995466 + 0.0951214i
\(170\) −0.964896 + 0.557083i −0.0740042 + 0.0427263i
\(171\) 7.36213 4.56697i 0.562996 0.349245i
\(172\) −1.33122 + 2.30575i −0.101505 + 0.175811i
\(173\) −1.85430 3.21173i −0.140979 0.244184i 0.786886 0.617098i \(-0.211692\pi\)
−0.927866 + 0.372914i \(0.878358\pi\)
\(174\) 0.601536 0.810156i 0.0456023 0.0614178i
\(175\) −7.09216 7.49337i −0.536117 0.566445i
\(176\) −0.348086 0.348086i −0.0262379 0.0262379i
\(177\) −11.0901 1.28192i −0.833579 0.0963549i
\(178\) −1.63209 + 2.82687i −0.122330 + 0.211883i
\(179\) −5.97819 + 10.3545i −0.446831 + 0.773934i −0.998178 0.0603419i \(-0.980781\pi\)
0.551347 + 0.834276i \(0.314114\pi\)
\(180\) 0.283096 + 8.94519i 0.0211007 + 0.666735i
\(181\) 5.55672i 0.413028i 0.978444 + 0.206514i \(0.0662118\pi\)
−0.978444 + 0.206514i \(0.933788\pi\)
\(182\) 7.88002 + 5.37636i 0.584106 + 0.398522i
\(183\) 1.91163 + 12.9356i 0.141312 + 0.956230i
\(184\) 2.06444 7.70458i 0.152192 0.567989i
\(185\) −7.33356 4.23403i −0.539174 0.311292i
\(186\) 8.13953 + 3.22163i 0.596819 + 0.236221i
\(187\) 0.0475841 0.177586i 0.00347969 0.0129864i
\(188\) 9.35958 9.35958i 0.682618 0.682618i
\(189\) −2.06606 13.5916i −0.150283 0.988643i
\(190\) 6.09184 6.09184i 0.441948 0.441948i
\(191\) −6.96646 + 4.02209i −0.504076 + 0.291028i −0.730395 0.683025i \(-0.760664\pi\)
0.226319 + 0.974053i \(0.427331\pi\)
\(192\) −0.637432 + 1.61049i −0.0460027 + 0.116227i
\(193\) 1.74782 + 6.52296i 0.125811 + 0.469533i 0.999867 0.0162916i \(-0.00518601\pi\)
−0.874056 + 0.485825i \(0.838519\pi\)
\(194\) −8.59349 14.8844i −0.616977 1.06864i
\(195\) −14.4121 11.8058i −1.03207 0.845428i
\(196\) 3.16145 + 6.24542i 0.225818 + 0.446101i
\(197\) −9.55202 + 9.55202i −0.680553 + 0.680553i −0.960125 0.279572i \(-0.909807\pi\)
0.279572 + 0.960125i \(0.409807\pi\)
\(198\) −1.07677 1.01070i −0.0765224 0.0718275i
\(199\) 17.2076 + 9.93481i 1.21981 + 0.704260i 0.964878 0.262698i \(-0.0846122\pi\)
0.254936 + 0.966958i \(0.417946\pi\)
\(200\) 1.00930 + 3.76674i 0.0713680 + 0.266349i
\(201\) 5.03418 + 0.581911i 0.355084 + 0.0410448i
\(202\) 7.93242 7.93242i 0.558123 0.558123i
\(203\) −0.439722 + 1.47731i −0.0308624 + 0.103687i
\(204\) −0.639932 + 0.0945692i −0.0448042 + 0.00662117i
\(205\) −24.1687 + 13.9538i −1.68801 + 0.974574i
\(206\) −3.15893 + 0.846433i −0.220093 + 0.0589738i
\(207\) 5.45907 23.2981i 0.379432 1.61933i
\(208\) −1.65205 3.20480i −0.114549 0.222213i
\(209\) 1.42160i 0.0983344i
\(210\) −5.08371 12.6905i −0.350809 0.875725i
\(211\) −8.11047 −0.558348 −0.279174 0.960241i \(-0.590061\pi\)
−0.279174 + 0.960241i \(0.590061\pi\)
\(212\) 1.62989 + 2.82305i 0.111941 + 0.193888i
\(213\) −2.04161 + 0.883752i −0.139889 + 0.0605537i
\(214\) −15.5800 + 4.17465i −1.06503 + 0.285373i
\(215\) −2.05571 + 7.67203i −0.140199 + 0.523228i
\(216\) −1.75851 + 4.88954i −0.119652 + 0.332691i
\(217\) −13.3667 0.367686i −0.907394 0.0249601i
\(218\) −12.3948 −0.839485
\(219\) −0.680005 + 5.88281i −0.0459505 + 0.397523i
\(220\) −1.27180 0.734272i −0.0857445 0.0495046i
\(221\) 0.728060 1.13280i 0.0489746 0.0762004i
\(222\) −3.05432 3.85272i −0.204993 0.258578i
\(223\) 13.2899 + 13.2899i 0.889959 + 0.889959i 0.994519 0.104560i \(-0.0333433\pi\)
−0.104560 + 0.994519i \(0.533343\pi\)
\(224\) 0.0727504 2.64475i 0.00486084 0.176710i
\(225\) 3.38382 + 11.1988i 0.225588 + 0.746587i
\(226\) −1.47958 + 5.52187i −0.0984202 + 0.367309i
\(227\) −7.47840 27.9098i −0.496359 1.85244i −0.522284 0.852772i \(-0.674920\pi\)
0.0259251 0.999664i \(-0.491747\pi\)
\(228\) 4.59033 1.98702i 0.304002 0.131593i
\(229\) 6.41225 + 1.71816i 0.423733 + 0.113539i 0.464383 0.885634i \(-0.346276\pi\)
−0.0406498 + 0.999173i \(0.512943\pi\)
\(230\) 23.7953i 1.56901i
\(231\) 2.07391 + 0.887565i 0.136453 + 0.0583975i
\(232\) 0.411946 0.411946i 0.0270456 0.0270456i
\(233\) 1.10978 + 1.92220i 0.0727044 + 0.125928i 0.900086 0.435713i \(-0.143504\pi\)
−0.827381 + 0.561641i \(0.810170\pi\)
\(234\) −5.25780 9.45280i −0.343713 0.617949i
\(235\) 19.7436 34.1970i 1.28793 2.23077i
\(236\) −6.22585 1.66821i −0.405269 0.108591i
\(237\) 2.87888 + 19.4808i 0.187004 + 1.26542i
\(238\) 0.869006 0.470347i 0.0563293 0.0304881i
\(239\) 9.10161 9.10161i 0.588734 0.588734i −0.348554 0.937289i \(-0.613327\pi\)
0.937289 + 0.348554i \(0.113327\pi\)
\(240\) −0.593323 + 5.13292i −0.0382988 + 0.331328i
\(241\) 2.55818 + 9.54727i 0.164787 + 0.614993i 0.998067 + 0.0621427i \(0.0197934\pi\)
−0.833280 + 0.552851i \(0.813540\pi\)
\(242\) −10.3911 + 2.78429i −0.667966 + 0.178981i
\(243\) −4.80890 + 14.8282i −0.308491 + 0.951227i
\(244\) 7.54951i 0.483308i
\(245\) 13.9321 + 15.5556i 0.890091 + 0.993812i
\(246\) −16.0290 + 2.36876i −1.02197 + 0.151027i
\(247\) −3.17075 + 9.91784i −0.201750 + 0.631057i
\(248\) 4.37695 + 2.52703i 0.277937 + 0.160467i
\(249\) 20.7982 9.00291i 1.31803 0.570536i
\(250\) −1.64134 2.84288i −0.103807 0.179800i
\(251\) −14.8766 −0.939002 −0.469501 0.882932i \(-0.655566\pi\)
−0.469501 + 0.882932i \(0.655566\pi\)
\(252\) −0.0328339 7.93719i −0.00206834 0.499996i
\(253\) 2.77646 + 2.77646i 0.174554 + 0.174554i
\(254\) −0.756962 + 2.82502i −0.0474960 + 0.177258i
\(255\) −1.77099 + 0.766609i −0.110904 + 0.0480069i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 14.5193 + 25.1481i 0.905688 + 1.56870i 0.819990 + 0.572377i \(0.193979\pi\)
0.0856980 + 0.996321i \(0.472688\pi\)
\(258\) −2.74908 + 3.70249i −0.171150 + 0.230507i
\(259\) 6.39825 + 3.93249i 0.397568 + 0.244353i
\(260\) −7.23498 7.95928i −0.448695 0.493613i
\(261\) 1.19613 1.27431i 0.0740385 0.0788780i
\(262\) 17.3330 4.64436i 1.07084 0.286930i
\(263\) −16.0895 9.28926i −0.992119 0.572800i −0.0862123 0.996277i \(-0.527476\pi\)
−0.905907 + 0.423476i \(0.860810\pi\)
\(264\) −0.529685 0.668144i −0.0325998 0.0411214i
\(265\) 6.87636 + 6.87636i 0.422411 + 0.422411i
\(266\) −5.54922 + 5.25211i −0.340245 + 0.322027i
\(267\) −3.37039 + 4.53929i −0.206265 + 0.277800i
\(268\) 2.82615 + 0.757263i 0.172634 + 0.0462572i
\(269\) 7.03347 + 4.06078i 0.428838 + 0.247590i 0.698852 0.715267i \(-0.253695\pi\)
−0.270013 + 0.962857i \(0.587028\pi\)
\(270\) −1.29199 + 15.4473i −0.0786278 + 0.940096i
\(271\) −23.8896 6.40120i −1.45119 0.388845i −0.554753 0.832015i \(-0.687187\pi\)
−0.896438 + 0.443170i \(0.853854\pi\)
\(272\) −0.373477 −0.0226454
\(273\) 12.4890 + 10.8178i 0.755871 + 0.654721i
\(274\) 9.51052 0.574552
\(275\) −1.85425 0.496844i −0.111815 0.0299608i
\(276\) 5.08439 12.8459i 0.306044 0.773230i
\(277\) 12.4480 + 7.18686i 0.747929 + 0.431817i 0.824945 0.565213i \(-0.191206\pi\)
−0.0770163 + 0.997030i \(0.524539\pi\)
\(278\) −20.6534 5.53407i −1.23871 0.331911i
\(279\) 13.3641 + 7.16195i 0.800087 + 0.428775i
\(280\) −1.83242 7.67721i −0.109508 0.458801i
\(281\) 6.19288 + 6.19288i 0.369436 + 0.369436i 0.867272 0.497835i \(-0.165872\pi\)
−0.497835 + 0.867272i \(0.665872\pi\)
\(282\) 17.9655 14.2425i 1.06983 0.848131i
\(283\) 21.4880 + 12.4061i 1.27733 + 0.737466i 0.976356 0.216168i \(-0.0693557\pi\)
0.300972 + 0.953633i \(0.402689\pi\)
\(284\) −1.24065 + 0.332432i −0.0736192 + 0.0197262i
\(285\) 11.6932 9.26999i 0.692643 0.549107i
\(286\) 1.77288 + 0.0845112i 0.104833 + 0.00499725i
\(287\) 21.7668 11.7812i 1.28485 0.695423i
\(288\) −1.41707 + 2.64422i −0.0835015 + 0.155812i
\(289\) 8.43026 + 14.6016i 0.495897 + 0.858920i
\(290\) 0.868983 1.50512i 0.0510284 0.0883839i
\(291\) −11.8256 27.3191i −0.693230 1.60147i
\(292\) −0.884917 + 3.30256i −0.0517859 + 0.193267i
\(293\) 0.941281 + 0.941281i 0.0549902 + 0.0549902i 0.734067 0.679077i \(-0.237620\pi\)
−0.679077 + 0.734067i \(0.737620\pi\)
\(294\) 4.19744 + 11.3746i 0.244800 + 0.663380i
\(295\) −19.2283 −1.11951
\(296\) −1.41928 2.45827i −0.0824941 0.142884i
\(297\) −1.65166 1.95316i −0.0958392 0.113334i
\(298\) −3.40272 1.96456i −0.197114 0.113804i
\(299\) 13.1774 + 25.5626i 0.762068 + 1.47832i
\(300\) 0.987434 + 6.68177i 0.0570095 + 0.385772i
\(301\) 2.00957 6.75144i 0.115830 0.389147i
\(302\) 9.97707i 0.574116i
\(303\) 15.2261 12.0708i 0.874718 0.693451i
\(304\) 2.78947 0.747436i 0.159987 0.0428684i
\(305\) 5.82909 + 21.7545i 0.333773 + 1.24566i
\(306\) −1.11987 + 0.0354415i −0.0640188 + 0.00202605i
\(307\) 1.18905 1.18905i 0.0678629 0.0678629i −0.672361 0.740224i \(-0.734720\pi\)
0.740224 + 0.672361i \(0.234720\pi\)
\(308\) 1.10959 + 0.681977i 0.0632250 + 0.0388592i
\(309\) −5.60358 + 0.828098i −0.318777 + 0.0471089i
\(310\) 14.5637 + 3.90232i 0.827160 + 0.221637i
\(311\) 1.24862 2.16267i 0.0708026 0.122634i −0.828451 0.560062i \(-0.810777\pi\)
0.899253 + 0.437428i \(0.144111\pi\)
\(312\) −2.20512 5.84272i −0.124841 0.330779i
\(313\) 15.5022 + 26.8507i 0.876239 + 1.51769i 0.855437 + 0.517906i \(0.173288\pi\)
0.0208011 + 0.999784i \(0.493378\pi\)
\(314\) 15.1982 15.1982i 0.857682 0.857682i
\(315\) −6.22303 22.8462i −0.350628 1.28724i
\(316\) 11.3694i 0.639580i
\(317\) 18.4389 + 4.94069i 1.03563 + 0.277497i 0.736303 0.676653i \(-0.236570\pi\)
0.299330 + 0.954150i \(0.403237\pi\)
\(318\) 2.24291 + 5.18148i 0.125776 + 0.290563i
\(319\) 0.0742255 + 0.277013i 0.00415583 + 0.0155098i
\(320\) −0.772115 + 2.88157i −0.0431625 + 0.161085i
\(321\) −27.6371 + 4.08422i −1.54255 + 0.227959i
\(322\) −0.580284 + 21.0955i −0.0323380 + 1.17561i
\(323\) 0.762653 + 0.762653i 0.0424351 + 0.0424351i
\(324\) −3.99815 + 8.06318i −0.222119 + 0.447954i
\(325\) −11.8280 7.60195i −0.656100 0.421680i
\(326\) 16.5183 + 9.53687i 0.914867 + 0.528198i
\(327\) −21.3265 2.46517i −1.17936 0.136324i
\(328\) −9.35483 −0.516534
\(329\) −18.3375 + 29.8356i −1.01098 + 1.64489i
\(330\) −2.04221 1.51633i −0.112420 0.0834710i
\(331\) 3.78955 14.1428i 0.208293 0.777359i −0.780128 0.625620i \(-0.784846\pi\)
0.988421 0.151739i \(-0.0484873\pi\)
\(332\) 12.6387 3.38653i 0.693639 0.185860i
\(333\) −4.48899 7.23643i −0.245995 0.396554i
\(334\) −6.41091 11.1040i −0.350790 0.607585i
\(335\) 8.72844 0.476885
\(336\) 0.651179 4.53607i 0.0355248 0.247463i
\(337\) 17.4950i 0.953013i 0.879171 + 0.476507i \(0.158097\pi\)
−0.879171 + 0.476507i \(0.841903\pi\)
\(338\) 12.1800 + 4.54383i 0.662507 + 0.247152i
\(339\) −3.64398 + 9.20662i −0.197914 + 0.500035i
\(340\) −1.07620 + 0.288367i −0.0583652 + 0.0156389i
\(341\) −2.15463 + 1.24398i −0.116680 + 0.0673651i
\(342\) 8.29329 2.50589i 0.448450 0.135503i
\(343\) −11.9721 14.1305i −0.646430 0.762973i
\(344\) −1.88263 + 1.88263i −0.101505 + 0.101505i
\(345\) 4.73256 40.9420i 0.254793 2.20424i
\(346\) −0.959854 3.58222i −0.0516021 0.192582i
\(347\) 12.4022 + 7.16039i 0.665782 + 0.384390i 0.794477 0.607295i \(-0.207745\pi\)
−0.128694 + 0.991684i \(0.541079\pi\)
\(348\) 0.790723 0.626862i 0.0423872 0.0336033i
\(349\) 15.1284 15.1284i 0.809803 0.809803i −0.174801 0.984604i \(-0.555928\pi\)
0.984604 + 0.174801i \(0.0559282\pi\)
\(350\) −4.91107 9.07362i −0.262508 0.485006i
\(351\) −7.16651 17.3101i −0.382520 0.923947i
\(352\) −0.246134 0.426316i −0.0131190 0.0227227i
\(353\) 0.442166 + 1.65019i 0.0235341 + 0.0878306i 0.976694 0.214636i \(-0.0688566\pi\)
−0.953160 + 0.302467i \(0.902190\pi\)
\(354\) −10.3804 4.10855i −0.551711 0.218367i
\(355\) −3.31835 + 1.91585i −0.176120 + 0.101683i
\(356\) −2.30813 + 2.30813i −0.122330 + 0.122330i
\(357\) 1.58875 0.636442i 0.0840857 0.0336841i
\(358\) −8.45444 + 8.45444i −0.446831 + 0.446831i
\(359\) −3.59997 + 13.4353i −0.189999 + 0.709087i 0.803506 + 0.595297i \(0.202966\pi\)
−0.993505 + 0.113790i \(0.963701\pi\)
\(360\) −2.04174 + 8.71366i −0.107609 + 0.459250i
\(361\) 9.23201 + 5.33010i 0.485895 + 0.280532i
\(362\) −1.43818 + 5.36738i −0.0755893 + 0.282103i
\(363\) −18.4326 + 2.72398i −0.967463 + 0.142972i
\(364\) 6.22001 + 7.23266i 0.326017 + 0.379095i
\(365\) 10.1998i 0.533882i
\(366\) −1.50150 + 12.9896i −0.0784845 + 0.678979i
\(367\) 13.9526 24.1666i 0.728319 1.26148i −0.229275 0.973362i \(-0.573635\pi\)
0.957593 0.288123i \(-0.0930312\pi\)
\(368\) 3.98818 6.90774i 0.207898 0.360091i
\(369\) −28.0505 + 0.887735i −1.46025 + 0.0462136i
\(370\) −5.98783 5.98783i −0.311292 0.311292i
\(371\) −5.92849 6.26387i −0.307792 0.325204i
\(372\) 7.02836 + 5.21852i 0.364404 + 0.270567i
\(373\) 12.3242 + 21.3461i 0.638122 + 1.10526i 0.985844 + 0.167662i \(0.0536218\pi\)
−0.347722 + 0.937598i \(0.613045\pi\)
\(374\) 0.0919254 0.159219i 0.00475335 0.00823304i
\(375\) −2.25867 5.21789i −0.116637 0.269451i
\(376\) 11.4631 6.61822i 0.591164 0.341309i
\(377\) −0.100016 + 2.09814i −0.00515107 + 0.108060i
\(378\) 1.52211 13.6632i 0.0782887 0.702759i
\(379\) −5.55621 5.55621i −0.285403 0.285403i 0.549856 0.835259i \(-0.314682\pi\)
−0.835259 + 0.549856i \(0.814682\pi\)
\(380\) 7.46095 4.30758i 0.382738 0.220974i
\(381\) −1.86428 + 4.71016i −0.0955101 + 0.241309i
\(382\) −7.77008 + 2.08199i −0.397552 + 0.106524i
\(383\) −10.6284 2.84788i −0.543087 0.145520i −0.0231622 0.999732i \(-0.507373\pi\)
−0.519925 + 0.854212i \(0.674040\pi\)
\(384\) −1.03254 + 1.39063i −0.0526915 + 0.0709655i
\(385\) 3.72394 + 1.10843i 0.189789 + 0.0564909i
\(386\) 6.75307i 0.343722i
\(387\) −5.46642 + 5.82373i −0.277874 + 0.296037i
\(388\) −4.44832 16.6014i −0.225829 0.842806i
\(389\) 2.28311 3.95446i 0.115758 0.200499i −0.802324 0.596888i \(-0.796404\pi\)
0.918083 + 0.396389i \(0.129737\pi\)
\(390\) −10.8655 15.1336i −0.550195 0.766321i
\(391\) 2.97899 0.150654
\(392\) 1.43729 + 6.85085i 0.0725942 + 0.346020i
\(393\) 30.7467 4.54376i 1.55097 0.229202i
\(394\) −11.6988 + 6.75430i −0.589376 + 0.340276i
\(395\) 8.77850 + 32.7618i 0.441694 + 1.64843i
\(396\) −0.778487 1.25495i −0.0391205 0.0630637i
\(397\) −15.0698 4.03794i −0.756331 0.202658i −0.140007 0.990151i \(-0.544712\pi\)
−0.616325 + 0.787492i \(0.711379\pi\)
\(398\) 14.0499 + 14.0499i 0.704260 + 0.704260i
\(399\) −10.5925 + 7.93308i −0.530290 + 0.397151i
\(400\) 3.89962i 0.194981i
\(401\) 5.19661 19.3940i 0.259506 0.968491i −0.706021 0.708191i \(-0.749512\pi\)
0.965528 0.260300i \(-0.0838216\pi\)
\(402\) 4.71204 + 1.86503i 0.235015 + 0.0930190i
\(403\) −17.8064 + 3.87293i −0.886999 + 0.192924i
\(404\) 9.71519 5.60907i 0.483349 0.279062i
\(405\) −5.29525 + 26.3217i −0.263123 + 1.30793i
\(406\) −0.807094 + 1.31316i −0.0400554 + 0.0651711i
\(407\) 1.39733 0.0692632
\(408\) −0.642603 0.0742796i −0.0318136 0.00367739i
\(409\) −21.8252 + 5.84805i −1.07919 + 0.289167i −0.754263 0.656572i \(-0.772006\pi\)
−0.324925 + 0.945740i \(0.605339\pi\)
\(410\) −26.9566 + 7.22301i −1.33129 + 0.356719i
\(411\) 16.3637 + 1.89152i 0.807164 + 0.0933016i
\(412\) −3.27037 −0.161119
\(413\) 17.0467 + 0.468911i 0.838812 + 0.0230736i
\(414\) 11.3030 21.0913i 0.555514 1.03658i
\(415\) 33.8046 19.5171i 1.65940 0.958056i
\(416\) −0.766299 3.52318i −0.0375709 0.172738i
\(417\) −34.4355 13.6296i −1.68631 0.667443i
\(418\) −0.367938 + 1.37316i −0.0179964 + 0.0671636i
\(419\) 2.13344i 0.104226i −0.998641 0.0521128i \(-0.983404\pi\)
0.998641 0.0521128i \(-0.0165955\pi\)
\(420\) −1.62595 13.5738i −0.0793382 0.662334i
\(421\) −27.5364 27.5364i −1.34204 1.34204i −0.894023 0.448021i \(-0.852129\pi\)
−0.448021 0.894023i \(-0.647871\pi\)
\(422\) −7.83411 2.09914i −0.381359 0.102185i
\(423\) 33.7441 20.9325i 1.64069 1.01777i
\(424\) 0.843692 + 3.14870i 0.0409733 + 0.152914i
\(425\) −1.26130 + 0.728210i −0.0611819 + 0.0353234i
\(426\) −2.20078 + 0.325231i −0.106628 + 0.0157575i
\(427\) −4.63721 19.4284i −0.224410 0.940205i
\(428\) −16.1296 −0.779653
\(429\) 3.03360 + 0.498012i 0.146464 + 0.0240442i
\(430\) −3.97134 + 6.87855i −0.191515 + 0.331713i
\(431\) −1.82189 6.79937i −0.0877572 0.327514i 0.908065 0.418830i \(-0.137560\pi\)
−0.995822 + 0.0913153i \(0.970893\pi\)
\(432\) −2.96410 + 4.26780i −0.142610 + 0.205335i
\(433\) 4.80709i 0.231014i −0.993307 0.115507i \(-0.963151\pi\)
0.993307 0.115507i \(-0.0368493\pi\)
\(434\) −12.8161 3.81473i −0.615194 0.183113i
\(435\) 1.79452 2.41688i 0.0860405 0.115880i
\(436\) −11.9725 3.20802i −0.573379 0.153636i
\(437\) −22.2498 + 5.96182i −1.06435 + 0.285193i
\(438\) −2.17942 + 5.50636i −0.104137 + 0.263104i
\(439\) −17.8083 + 10.2816i −0.849942 + 0.490715i −0.860631 0.509228i \(-0.829931\pi\)
0.0106890 + 0.999943i \(0.496598\pi\)
\(440\) −1.03842 1.03842i −0.0495046 0.0495046i
\(441\) 4.95984 + 20.4059i 0.236183 + 0.971709i
\(442\) 0.996442 0.905766i 0.0473959 0.0430829i
\(443\) −14.5938 + 8.42571i −0.693370 + 0.400318i −0.804873 0.593446i \(-0.797767\pi\)
0.111503 + 0.993764i \(0.464434\pi\)
\(444\) −1.95309 4.51196i −0.0926896 0.214128i
\(445\) −4.86890 + 8.43317i −0.230808 + 0.399771i
\(446\) 9.39739 + 16.2768i 0.444980 + 0.770727i
\(447\) −5.46398 4.05697i −0.258437 0.191888i
\(448\) 0.754783 2.53580i 0.0356602 0.119805i
\(449\) −19.6778 19.6778i −0.928651 0.928651i 0.0689678 0.997619i \(-0.478029\pi\)
−0.997619 + 0.0689678i \(0.978029\pi\)
\(450\) 0.370058 + 11.6930i 0.0174447 + 0.551214i
\(451\) 2.30254 3.98812i 0.108422 0.187793i
\(452\) −2.85833 + 4.95077i −0.134444 + 0.232865i
\(453\) −1.98431 + 17.1665i −0.0932308 + 0.806552i
\(454\) 28.8943i 1.35608i
\(455\) 23.5079 + 16.0389i 1.10207 + 0.751914i
\(456\) 4.94820 0.731246i 0.231721 0.0342437i
\(457\) 9.92354 37.0352i 0.464204 1.73243i −0.195312 0.980741i \(-0.562572\pi\)
0.659516 0.751691i \(-0.270761\pi\)
\(458\) 5.74906 + 3.31922i 0.268636 + 0.155097i
\(459\) −1.93389 0.161747i −0.0902664 0.00754970i
\(460\) 6.15867 22.9845i 0.287150 1.07166i
\(461\) 17.5692 17.5692i 0.818281 0.818281i −0.167578 0.985859i \(-0.553595\pi\)
0.985859 + 0.167578i \(0.0535947\pi\)
\(462\) 1.77352 + 1.39409i 0.0825118 + 0.0648589i
\(463\) −24.8187 + 24.8187i −1.15342 + 1.15342i −0.167563 + 0.985861i \(0.553590\pi\)
−0.985861 + 0.167563i \(0.946410\pi\)
\(464\) 0.504529 0.291290i 0.0234222 0.0135228i
\(465\) 24.2820 + 9.61083i 1.12605 + 0.445691i
\(466\) 0.574466 + 2.14394i 0.0266116 + 0.0993160i
\(467\) 7.40191 + 12.8205i 0.342520 + 0.593262i 0.984900 0.173125i \(-0.0553863\pi\)
−0.642380 + 0.766386i \(0.722053\pi\)
\(468\) −2.63208 10.4915i −0.121668 0.484971i
\(469\) −7.73812 0.212856i −0.357313 0.00982878i
\(470\) 27.9217 27.9217i 1.28793 1.28793i
\(471\) 29.1726 23.1272i 1.34420 1.06564i
\(472\) −5.58195 3.22274i −0.256930 0.148339i
\(473\) −0.339217 1.26598i −0.0155972 0.0582097i
\(474\) −2.26123 + 19.5622i −0.103862 + 0.898520i
\(475\) 7.96315 7.96315i 0.365374 0.365374i
\(476\) 0.961130 0.229405i 0.0440533 0.0105148i
\(477\) 2.82861 + 9.36132i 0.129513 + 0.428625i
\(478\) 11.1472 6.43581i 0.509859 0.294367i
\(479\) 31.5839 8.46289i 1.44311 0.386679i 0.549487 0.835502i \(-0.314823\pi\)
0.893621 + 0.448823i \(0.148157\pi\)
\(480\) −1.90160 + 4.80445i −0.0867959 + 0.219292i
\(481\) 9.74851 + 3.11661i 0.444494 + 0.142105i
\(482\) 9.88406i 0.450206i
\(483\) −5.19405 + 36.1814i −0.236337 + 1.64631i
\(484\) −10.7577 −0.488985
\(485\) −25.6363 44.4034i −1.16408 2.01625i
\(486\) −8.48285 + 13.0783i −0.384790 + 0.593243i
\(487\) 15.5694 4.17182i 0.705518 0.189043i 0.111817 0.993729i \(-0.464333\pi\)
0.593701 + 0.804686i \(0.297666\pi\)
\(488\) −1.95396 + 7.29227i −0.0884515 + 0.330105i
\(489\) 26.5246 + 19.6944i 1.19948 + 0.890610i
\(490\) 9.43131 + 18.6315i 0.426063 + 0.841684i
\(491\) −31.5653 −1.42452 −0.712260 0.701915i \(-0.752328\pi\)
−0.712260 + 0.701915i \(0.752328\pi\)
\(492\) −16.0959 1.86055i −0.725658 0.0838801i
\(493\) 0.188430 + 0.108790i 0.00848647 + 0.00489966i
\(494\) −5.62964 + 8.75925i −0.253289 + 0.394097i
\(495\) −3.21223 3.01515i −0.144379 0.135521i
\(496\) 3.57377 + 3.57377i 0.160467 + 0.160467i
\(497\) 2.98858 1.61756i 0.134056 0.0725575i
\(498\) 22.4196 3.31318i 1.00465 0.148467i
\(499\) −5.41067 + 20.1929i −0.242215 + 0.903959i 0.732548 + 0.680716i \(0.238331\pi\)
−0.974763 + 0.223243i \(0.928336\pi\)
\(500\) −0.849619 3.17082i −0.0379961 0.141804i
\(501\) −8.82214 20.3806i −0.394144 0.910537i
\(502\) −14.3697 3.85034i −0.641350 0.171849i
\(503\) 2.56037i 0.114161i 0.998370 + 0.0570807i \(0.0181792\pi\)
−0.998370 + 0.0570807i \(0.981821\pi\)
\(504\) 2.02258 7.67523i 0.0900929 0.341882i
\(505\) 23.6642 23.6642i 1.05304 1.05304i
\(506\) 1.96325 + 3.40045i 0.0872772 + 0.151169i
\(507\) 20.0532 + 10.2405i 0.890594 + 0.454798i
\(508\) −1.46234 + 2.53284i −0.0648808 + 0.112377i
\(509\) 17.4226 + 4.66837i 0.772243 + 0.206922i 0.623362 0.781933i \(-0.285766\pi\)
0.148881 + 0.988855i \(0.452433\pi\)
\(510\) −1.90906 + 0.282121i −0.0845346 + 0.0124925i
\(511\) 0.248738 9.04255i 0.0110035 0.400019i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) 14.7678 2.66220i 0.652013 0.117539i
\(514\) 7.51574 + 28.0491i 0.331505 + 1.23719i
\(515\) −9.42379 + 2.52510i −0.415262 + 0.111269i
\(516\) −3.61368 + 2.86482i −0.159083 + 0.126117i
\(517\) 6.51587i 0.286568i
\(518\) 5.16244 + 5.45448i 0.226824 + 0.239656i
\(519\) −0.939063 6.35446i −0.0412203 0.278930i
\(520\) −4.92845 9.56062i −0.216127 0.419261i
\(521\) −21.2930 12.2935i −0.932865 0.538590i −0.0451486 0.998980i \(-0.514376\pi\)
−0.887717 + 0.460390i \(0.847709\pi\)
\(522\) 1.48519 0.921310i 0.0650049 0.0403247i
\(523\) −20.8457 36.1057i −0.911517 1.57879i −0.811922 0.583766i \(-0.801579\pi\)
−0.0995948 0.995028i \(-0.531755\pi\)
\(524\) 17.9444 0.783906
\(525\) −6.64534 16.5888i −0.290026 0.723993i
\(526\) −13.1370 13.1370i −0.572800 0.572800i
\(527\) −0.488542 + 1.82326i −0.0212812 + 0.0794225i
\(528\) −0.338708 0.782470i −0.0147404 0.0340526i
\(529\) −20.3112 + 35.1800i −0.883096 + 1.52957i
\(530\) 4.86232 + 8.42179i 0.211206 + 0.365819i
\(531\) −17.0433 9.13367i −0.739616 0.396368i
\(532\) −6.71949 + 3.63690i −0.291327 + 0.157680i
\(533\) 24.9588 22.6876i 1.08109 0.982708i
\(534\) −4.43040 + 3.51229i −0.191722 + 0.151992i
\(535\) −46.4786 + 12.4539i −2.00944 + 0.538429i
\(536\) 2.53385 + 1.46292i 0.109446 + 0.0631885i
\(537\) −16.2281 + 12.8652i −0.700296 + 0.555174i
\(538\) 5.74280 + 5.74280i 0.247590 + 0.247590i
\(539\) −3.27439 1.07349i −0.141038 0.0462383i
\(540\) −5.24603 + 14.5866i −0.225753 + 0.627707i
\(541\) −24.7657 6.63595i −1.06476 0.285302i −0.316422 0.948618i \(-0.602482\pi\)
−0.748339 + 0.663317i \(0.769148\pi\)
\(542\) −21.4188 12.3662i −0.920018 0.531173i
\(543\) −3.54203 + 8.94904i −0.152003 + 0.384040i
\(544\) −0.360751 0.0966630i −0.0154671 0.00414439i
\(545\) −36.9766 −1.58390
\(546\) 9.26364 + 13.6816i 0.396447 + 0.585517i
\(547\) 5.31392 0.227207 0.113603 0.993526i \(-0.463761\pi\)
0.113603 + 0.993526i \(0.463761\pi\)
\(548\) 9.18646 + 2.46150i 0.392426 + 0.105150i
\(549\) −5.16693 + 22.0513i −0.220519 + 0.941125i
\(550\) −1.66247 0.959828i −0.0708880 0.0409272i
\(551\) −1.62509 0.435441i −0.0692311 0.0185504i
\(552\) 8.23590 11.0922i 0.350543 0.472116i
\(553\) −6.98356 29.2588i −0.296971 1.24421i
\(554\) 10.1638 + 10.1638i 0.431817 + 0.431817i
\(555\) −9.11172 11.4935i −0.386771 0.487873i
\(556\) −18.5174 10.6910i −0.785311 0.453399i
\(557\) 21.4532 5.74838i 0.909003 0.243567i 0.226125 0.974098i \(-0.427394\pi\)
0.682879 + 0.730532i \(0.260728\pi\)
\(558\) 11.0551 + 10.3768i 0.467998 + 0.439285i
\(559\) 0.457082 9.58870i 0.0193325 0.405559i
\(560\) 0.217031 7.88988i 0.00917122 0.333408i
\(561\) 0.189833 0.255669i 0.00801475 0.0107944i
\(562\) 4.37903 + 7.58470i 0.184718 + 0.319941i
\(563\) −1.46940 + 2.54508i −0.0619280 + 0.107262i −0.895327 0.445409i \(-0.853058\pi\)
0.833399 + 0.552672i \(0.186392\pi\)
\(564\) 21.0396 9.10742i 0.885928 0.383492i
\(565\) −4.41392 + 16.4730i −0.185695 + 0.693022i
\(566\) 17.5449 + 17.5449i 0.737466 + 0.737466i
\(567\) 5.33636 23.2061i 0.224106 0.974565i
\(568\) −1.28442 −0.0538930
\(569\) −11.2238 19.4402i −0.470526 0.814976i 0.528905 0.848681i \(-0.322603\pi\)
−0.999432 + 0.0337051i \(0.989269\pi\)
\(570\) 13.6940 5.92771i 0.573578 0.248285i
\(571\) −31.4173 18.1388i −1.31477 0.759084i −0.331890 0.943318i \(-0.607686\pi\)
−0.982882 + 0.184234i \(0.941020\pi\)
\(572\) 1.69060 + 0.540487i 0.0706875 + 0.0225989i
\(573\) −13.7832 + 2.03689i −0.575803 + 0.0850923i
\(574\) 24.0743 5.74612i 1.00484 0.239838i
\(575\) 31.1048i 1.29716i
\(576\) −2.05316 + 2.18736i −0.0855482 + 0.0911400i
\(577\) −21.9929 + 5.89299i −0.915577 + 0.245328i −0.685694 0.727890i \(-0.740501\pi\)
−0.229883 + 0.973218i \(0.573835\pi\)
\(578\) 4.36382 + 16.2860i 0.181511 + 0.677409i
\(579\) −1.34309 + 11.6193i −0.0558171 + 0.482881i
\(580\) 1.22893 1.22893i 0.0510284 0.0510284i
\(581\) −30.4451 + 16.4783i −1.26308 + 0.683636i
\(582\) −4.35196 29.4489i −0.180395 1.22070i
\(583\) −1.55000 0.415322i −0.0641946 0.0172009i
\(584\) −1.70953 + 2.96099i −0.0707408 + 0.122527i
\(585\) −15.6852 28.1998i −0.648503 1.16592i
\(586\) 0.665586 + 1.15283i 0.0274951 + 0.0476229i
\(587\) 15.2745 15.2745i 0.630447 0.630447i −0.317733 0.948180i \(-0.602922\pi\)
0.948180 + 0.317733i \(0.102922\pi\)
\(588\) 1.11045 + 12.0734i 0.0457943 + 0.497898i
\(589\) 14.5955i 0.601397i
\(590\) −18.5731 4.97665i −0.764643 0.204885i
\(591\) −21.4722 + 9.29467i −0.883248 + 0.382332i
\(592\) −0.734674 2.74184i −0.0301949 0.112689i
\(593\) 11.3778 42.4626i 0.467231 1.74373i −0.182154 0.983270i \(-0.558307\pi\)
0.649385 0.760460i \(-0.275026\pi\)
\(594\) −1.08987 2.31409i −0.0447178 0.0949484i
\(595\) 2.59244 1.40315i 0.106280 0.0575235i
\(596\) −2.77831 2.77831i −0.113804 0.113804i
\(597\) 21.3799 + 26.9686i 0.875021 + 1.10375i
\(598\) 6.11228 + 28.1022i 0.249950 + 1.14918i
\(599\) 18.6340 + 10.7583i 0.761363 + 0.439573i 0.829785 0.558084i \(-0.188463\pi\)
−0.0684221 + 0.997656i \(0.521796\pi\)
\(600\) −0.775582 + 6.70966i −0.0316630 + 0.273921i
\(601\) 11.5937 0.472916 0.236458 0.971642i \(-0.424013\pi\)
0.236458 + 0.971642i \(0.424013\pi\)
\(602\) 3.68850 6.00128i 0.150332 0.244594i
\(603\) 7.73658 + 4.14611i 0.315058 + 0.168843i
\(604\) −2.58226 + 9.63711i −0.105070 + 0.392128i
\(605\) −30.9990 + 8.30616i −1.26029 + 0.337693i
\(606\) 17.8315 7.71871i 0.724354 0.313551i
\(607\) −18.1150 31.3761i −0.735266 1.27352i −0.954606 0.297870i \(-0.903724\pi\)
0.219340 0.975648i \(-0.429609\pi\)
\(608\) 2.88787 0.117119
\(609\) −1.64985 + 2.09890i −0.0668554 + 0.0850517i
\(610\) 22.5219i 0.911884i
\(611\) −14.5330 + 45.4581i −0.587943 + 1.83904i
\(612\) −1.09089 0.255610i −0.0440964 0.0103324i
\(613\) 14.4606 3.87470i 0.584057 0.156497i 0.0453211 0.998972i \(-0.485569\pi\)
0.538735 + 0.842475i \(0.318902\pi\)
\(614\) 1.45629 0.840788i 0.0587710 0.0339315i
\(615\) −47.8180 + 7.06655i −1.92821 + 0.284951i
\(616\) 0.895276 + 0.945923i 0.0360717 + 0.0381123i
\(617\) 4.10076 4.10076i 0.165090 0.165090i −0.619727 0.784817i \(-0.712757\pi\)
0.784817 + 0.619727i \(0.212757\pi\)
\(618\) −5.62697 0.650432i −0.226350 0.0261642i
\(619\) 3.53669 + 13.1991i 0.142152 + 0.530517i 0.999866 + 0.0163900i \(0.00521733\pi\)
−0.857714 + 0.514127i \(0.828116\pi\)
\(620\) 13.0574 + 7.53871i 0.524399 + 0.302762i
\(621\) 23.6427 34.0415i 0.948750 1.36604i
\(622\) 1.76581 1.76581i 0.0708026 0.0708026i
\(623\) 4.52213 7.35762i 0.181175 0.294777i
\(624\) −0.617777 6.21437i −0.0247309 0.248774i
\(625\) −14.6455 25.3668i −0.585821 1.01467i
\(626\) 8.02455 + 29.9480i 0.320726 + 1.19696i
\(627\) −0.906176 + 2.28948i −0.0361892 + 0.0914330i
\(628\) 18.6139 10.7467i 0.742774 0.428841i
\(629\) 0.749631 0.749631i 0.0298898 0.0298898i
\(630\) −0.0979508 23.6784i −0.00390245 0.943370i
\(631\) 26.9483 26.9483i 1.07279 1.07279i 0.0756614 0.997134i \(-0.475893\pi\)
0.997134 0.0756614i \(-0.0241068\pi\)
\(632\) −2.94262 + 10.9820i −0.117051 + 0.436841i
\(633\) −13.0618 5.16987i −0.519161 0.205484i
\(634\) 16.5319 + 9.54469i 0.656565 + 0.379068i
\(635\) −2.25819 + 8.42767i −0.0896134 + 0.334442i
\(636\) 0.825417 + 5.58544i 0.0327299 + 0.221477i
\(637\) −20.4496 14.7924i −0.810241 0.586096i
\(638\) 0.286785i 0.0113539i
\(639\) −3.85133 + 0.121886i −0.152356 + 0.00482173i
\(640\) −1.49161 + 2.58355i −0.0589611 + 0.102124i
\(641\) 22.0062 38.1158i 0.869191 1.50548i 0.00636716 0.999980i \(-0.497973\pi\)
0.862824 0.505504i \(-0.168693\pi\)
\(642\) −27.7525 3.20796i −1.09530 0.126608i
\(643\) 27.9829 + 27.9829i 1.10354 + 1.10354i 0.993980 + 0.109559i \(0.0349438\pi\)
0.109559 + 0.993980i \(0.465056\pi\)
\(644\) −6.02043 + 20.2265i −0.237238 + 0.797036i
\(645\) −8.20111 + 11.0454i −0.322918 + 0.434910i
\(646\) 0.539277 + 0.934055i 0.0212176 + 0.0367499i
\(647\) 12.7841 22.1426i 0.502593 0.870516i −0.497403 0.867520i \(-0.665713\pi\)
0.999996 0.00299663i \(-0.000953858\pi\)
\(648\) −5.94882 + 6.75363i −0.233692 + 0.265308i
\(649\) 2.74781 1.58645i 0.107861 0.0622736i
\(650\) −9.45745 10.4042i −0.370952 0.408088i
\(651\) −21.2927 9.11255i −0.834525 0.357149i
\(652\) 13.4872 + 13.4872i 0.528198 + 0.528198i
\(653\) −9.80664 + 5.66186i −0.383763 + 0.221566i −0.679454 0.733718i \(-0.737783\pi\)
0.295691 + 0.955284i \(0.404450\pi\)
\(654\) −19.9618 7.90087i −0.780568 0.308949i
\(655\) 51.7082 13.8552i 2.02041 0.541366i
\(656\) −9.03608 2.42121i −0.352800 0.0945323i
\(657\) −4.84503 + 9.04075i −0.189023 + 0.352713i
\(658\) −25.4347 + 24.0729i −0.991547 + 0.938457i
\(659\) 12.4449i 0.484783i 0.970179 + 0.242391i \(0.0779318\pi\)
−0.970179 + 0.242391i \(0.922068\pi\)
\(660\) −1.58017 1.99322i −0.0615079 0.0775860i
\(661\) 2.47664 + 9.24295i 0.0963302 + 0.359509i 0.997218 0.0745433i \(-0.0237499\pi\)
−0.900888 + 0.434053i \(0.857083\pi\)
\(662\) 7.32086 12.6801i 0.284533 0.492826i
\(663\) 1.89462 1.36028i 0.0735808 0.0528288i
\(664\) 13.0846 0.507779
\(665\) −16.5546 + 15.6682i −0.641959 + 0.607587i
\(666\) −2.46311 8.15169i −0.0954436 0.315872i
\(667\) −4.02431 + 2.32344i −0.155822 + 0.0899638i
\(668\) −3.31853 12.3849i −0.128398 0.479188i
\(669\) 12.9319 + 29.8747i 0.499975 + 1.15502i
\(670\) 8.43102 + 2.25909i 0.325719 + 0.0872761i
\(671\) −2.62788 2.62788i −0.101448 0.101448i
\(672\) 1.80301 4.21297i 0.0695527 0.162519i
\(673\) 7.76392i 0.299277i 0.988741 + 0.149638i \(0.0478110\pi\)
−0.988741 + 0.149638i \(0.952189\pi\)
\(674\) −4.52804 + 16.8989i −0.174414 + 0.650920i
\(675\) −1.68886 + 20.1925i −0.0650044 + 0.777210i
\(676\) 10.5890 + 7.54144i 0.407269 + 0.290055i
\(677\) 12.1599 7.02053i 0.467344 0.269821i −0.247784 0.968815i \(-0.579702\pi\)
0.715127 + 0.698995i \(0.246369\pi\)
\(678\) −5.90266 + 7.94978i −0.226690 + 0.305309i
\(679\) 21.6448 + 39.9906i 0.830651 + 1.53470i
\(680\) −1.11417 −0.0427263
\(681\) 5.74669 49.7154i 0.220214 1.90510i
\(682\) −2.40318 + 0.643930i −0.0920224 + 0.0246573i
\(683\) −30.3629 + 8.13572i −1.16181 + 0.311305i −0.787687 0.616076i \(-0.788721\pi\)
−0.374119 + 0.927381i \(0.622055\pi\)
\(684\) 8.65927 0.274047i 0.331096 0.0104784i
\(685\) 28.3720 1.08404
\(686\) −7.90689 16.7476i −0.301886 0.639425i
\(687\) 9.23166 + 6.85445i 0.352210 + 0.261514i
\(688\) −2.30575 + 1.33122i −0.0879057 + 0.0507524i
\(689\) −9.88729 6.35463i −0.376676 0.242092i
\(690\) 15.1679 38.3221i 0.577431 1.45890i
\(691\) −3.69969 + 13.8074i −0.140743 + 0.525259i 0.859165 + 0.511698i \(0.170983\pi\)
−0.999908 + 0.0135610i \(0.995683\pi\)
\(692\) 3.70859i 0.140979i
\(693\) 2.77425 + 2.75139i 0.105385 + 0.104517i
\(694\) 10.1263 + 10.1263i 0.384390 + 0.384390i
\(695\) −61.6138 16.5094i −2.33714 0.626236i
\(696\) 0.926023 0.400848i 0.0351008 0.0151941i
\(697\) −0.904267 3.37477i −0.0342515 0.127829i
\(698\) 18.5284 10.6974i 0.701310 0.404901i
\(699\) 0.562023 + 3.80310i 0.0212577 + 0.143846i
\(700\) −2.39530 10.0355i −0.0905340 0.379307i
\(701\) −5.06325 −0.191236 −0.0956181 0.995418i \(-0.530483\pi\)
−0.0956181 + 0.995418i \(0.530483\pi\)
\(702\) −2.44212 18.5751i −0.0921719 0.701074i
\(703\) −4.09870 + 7.09916i −0.154585 + 0.267750i
\(704\) −0.127408 0.475494i −0.00480188 0.0179208i
\(705\) 53.5952 42.4887i 2.01851 1.60022i
\(706\) 1.70840i 0.0642965i
\(707\) −21.5564 + 20.4022i −0.810711 + 0.767303i
\(708\) −8.96331 6.65520i −0.336862 0.250118i
\(709\) 18.3917 + 4.92803i 0.690714 + 0.185076i 0.587067 0.809538i \(-0.300282\pi\)
0.103646 + 0.994614i \(0.466949\pi\)
\(710\) −3.70114 + 0.991718i −0.138901 + 0.0372185i
\(711\) −7.78130 + 33.2088i −0.291822 + 1.24543i
\(712\) −2.82687 + 1.63209i −0.105941 + 0.0611652i
\(713\) −28.5057 28.5057i −1.06755 1.06755i
\(714\) 1.69934 0.203557i 0.0635962 0.00761792i
\(715\) 5.28890 + 0.252116i 0.197794 + 0.00942859i
\(716\) −10.3545 + 5.97819i −0.386967 + 0.223416i
\(717\) 20.4597 8.85640i 0.764082 0.330748i
\(718\) −6.95461 + 12.0457i −0.259544 + 0.449543i
\(719\) −21.6555 37.5084i −0.807614 1.39883i −0.914512 0.404558i \(-0.867425\pi\)
0.106899 0.994270i \(-0.465908\pi\)
\(720\) −4.22743 + 7.88831i −0.157547 + 0.293980i
\(721\) 8.41616 2.00879i 0.313434 0.0748113i
\(722\) 7.53791 + 7.53791i 0.280532 + 0.280532i
\(723\) −1.96581 + 17.0064i −0.0731091 + 0.632477i
\(724\) −2.77836 + 4.81226i −0.103257 + 0.178846i
\(725\) 1.13592 1.96747i 0.0421870 0.0730701i
\(726\) −18.5096 2.13956i −0.686955 0.0794064i
\(727\) 26.4056i 0.979328i −0.871911 0.489664i \(-0.837119\pi\)
0.871911 0.489664i \(-0.162881\pi\)
\(728\) 4.13612 + 8.59607i 0.153295 + 0.318592i
\(729\) −17.1966 + 20.8153i −0.636912 + 0.770936i
\(730\) −2.63991 + 9.85226i −0.0977073 + 0.364648i
\(731\) −0.861144 0.497182i −0.0318506 0.0183889i
\(732\) −4.81230 + 12.1584i −0.177868 + 0.449388i
\(733\) −6.59585 + 24.6161i −0.243623 + 0.909215i 0.730447 + 0.682969i \(0.239312\pi\)
−0.974070 + 0.226245i \(0.927355\pi\)
\(734\) 19.7319 19.7319i 0.728319 0.728319i
\(735\) 12.5219 + 33.9330i 0.461877 + 1.25164i
\(736\) 5.64014 5.64014i 0.207898 0.207898i
\(737\) −1.24733 + 0.720148i −0.0459461 + 0.0265270i
\(738\) −27.3244 6.40251i −1.00583 0.235680i
\(739\) 6.39753 + 23.8759i 0.235337 + 0.878289i 0.977997 + 0.208620i \(0.0668973\pi\)
−0.742660 + 0.669669i \(0.766436\pi\)
\(740\) −4.23403 7.33356i −0.155646 0.269587i
\(741\) −11.4284 + 13.9515i −0.419833 + 0.512520i
\(742\) −4.10527 7.58484i −0.150709 0.278448i
\(743\) −4.42963 + 4.42963i −0.162507 + 0.162507i −0.783677 0.621169i \(-0.786658\pi\)
0.621169 + 0.783677i \(0.286658\pi\)
\(744\) 5.43823 + 6.85977i 0.199375 + 0.251492i
\(745\) −10.1511 5.86073i −0.371907 0.214721i
\(746\) 6.37947 + 23.8085i 0.233569 + 0.871691i
\(747\) 39.2340 1.24167i 1.43550 0.0454303i
\(748\) 0.130002 0.130002i 0.00475335 0.00475335i
\(749\) 41.5089 9.90745i 1.51670 0.362010i
\(750\) −0.831216 5.62468i −0.0303517 0.205384i
\(751\) 17.6566 10.1940i 0.644299 0.371986i −0.141970 0.989871i \(-0.545344\pi\)
0.786268 + 0.617885i \(0.212010\pi\)
\(752\) 12.7854 3.42585i 0.466237 0.124928i
\(753\) −23.9586 9.48281i −0.873100 0.345573i
\(754\) −0.639646 + 2.00076i −0.0232945 + 0.0728634i
\(755\) 29.7638i 1.08322i
\(756\) 5.00654 12.8037i 0.182086 0.465666i
\(757\) −15.9128 −0.578362 −0.289181 0.957274i \(-0.593383\pi\)
−0.289181 + 0.957274i \(0.593383\pi\)
\(758\) −3.92883 6.80493i −0.142702 0.247166i
\(759\) 2.70166 + 6.24126i 0.0980639 + 0.226544i
\(760\) 8.32160 2.22977i 0.301856 0.0808822i
\(761\) −8.80566 + 32.8632i −0.319205 + 1.19129i 0.600805 + 0.799395i \(0.294847\pi\)
−0.920010 + 0.391894i \(0.871820\pi\)
\(762\) −3.01984 + 4.06716i −0.109397 + 0.147338i
\(763\) 32.7813 + 0.901730i 1.18676 + 0.0326448i
\(764\) −8.04418 −0.291028
\(765\) −3.34083 + 0.105730i −0.120788 + 0.00382267i
\(766\) −9.52919 5.50168i −0.344303 0.198784i
\(767\) 22.7086 4.93916i 0.819959 0.178343i
\(768\) −1.35728 + 1.07601i −0.0489765 + 0.0388272i
\(769\) 2.08636 + 2.08636i 0.0752360 + 0.0752360i 0.743723 0.668487i \(-0.233058\pi\)
−0.668487 + 0.743723i \(0.733058\pi\)
\(770\) 3.31017 + 2.03449i 0.119290 + 0.0733179i
\(771\) 7.35294 + 49.7559i 0.264810 + 1.79192i
\(772\) −1.74782 + 6.52296i −0.0629055 + 0.234767i
\(773\) −4.43238 16.5419i −0.159422 0.594970i −0.998686 0.0512461i \(-0.983681\pi\)
0.839264 0.543723i \(-0.182986\pi\)