Properties

Label 168.2.v.a.107.8
Level $168$
Weight $2$
Character 168.107
Analytic conductor $1.341$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 168 = 2^{3} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 168.v (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.34148675396\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 107.8
Character \(\chi\) \(=\) 168.107
Dual form 168.2.v.a.11.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.935706 + 1.06040i) q^{2} +(-1.45135 - 0.945295i) q^{3} +(-0.248908 - 1.98445i) q^{4} +(-0.187787 + 0.325257i) q^{5} +(2.36043 - 0.654497i) q^{6} +(0.198565 + 2.63829i) q^{7} +(2.33722 + 1.59292i) q^{8} +(1.21283 + 2.74391i) q^{9} +O(q^{10})\) \(q+(-0.935706 + 1.06040i) q^{2} +(-1.45135 - 0.945295i) q^{3} +(-0.248908 - 1.98445i) q^{4} +(-0.187787 + 0.325257i) q^{5} +(2.36043 - 0.654497i) q^{6} +(0.198565 + 2.63829i) q^{7} +(2.33722 + 1.59292i) q^{8} +(1.21283 + 2.74391i) q^{9} +(-0.169190 - 0.503475i) q^{10} +(-4.18624 + 2.41693i) q^{11} +(-1.51464 + 3.11542i) q^{12} +4.40701i q^{13} +(-2.98345 - 2.25810i) q^{14} +(0.580009 - 0.294548i) q^{15} +(-3.87609 + 0.987893i) q^{16} +(2.39410 - 1.38223i) q^{17} +(-4.04450 - 1.28140i) q^{18} +(1.83569 - 3.17951i) q^{19} +(0.692199 + 0.291695i) q^{20} +(2.20578 - 4.01678i) q^{21} +(1.35417 - 6.70064i) q^{22} +(-3.60943 + 6.25172i) q^{23} +(-1.88635 - 4.52125i) q^{24} +(2.42947 + 4.20797i) q^{25} +(-4.67320 - 4.12366i) q^{26} +(0.833557 - 5.12886i) q^{27} +(5.18613 - 1.05073i) q^{28} -0.968468 q^{29} +(-0.230379 + 0.890653i) q^{30} +(-2.78588 + 1.60843i) q^{31} +(2.57932 - 5.03459i) q^{32} +(8.36041 + 0.449426i) q^{33} +(-0.774447 + 3.83207i) q^{34} +(-0.895411 - 0.430853i) q^{35} +(5.14327 - 3.08979i) q^{36} +(0.459519 + 0.265303i) q^{37} +(1.65390 + 4.92166i) q^{38} +(4.16592 - 6.39611i) q^{39} +(-0.957009 + 0.461068i) q^{40} -3.88604i q^{41} +(2.19545 + 6.09754i) q^{42} +0.747189 q^{43} +(5.83827 + 7.70580i) q^{44} +(-1.12023 - 0.120788i) q^{45} +(-3.25197 - 9.67722i) q^{46} +(5.20322 - 9.01223i) q^{47} +(6.55941 + 2.23027i) q^{48} +(-6.92114 + 1.04774i) q^{49} +(-6.73541 - 1.36120i) q^{50} +(-4.78129 - 0.257025i) q^{51} +(8.74549 - 1.09694i) q^{52} +(1.40600 + 2.43526i) q^{53} +(4.65869 + 5.68301i) q^{54} -1.81547i q^{55} +(-3.73849 + 6.48257i) q^{56} +(-5.66981 + 2.87932i) q^{57} +(0.906201 - 1.02697i) q^{58} +(1.65184 - 0.953689i) q^{59} +(-0.728884 - 1.07768i) q^{60} +(-8.43102 - 4.86765i) q^{61} +(0.901184 - 4.45918i) q^{62} +(-6.99840 + 3.74465i) q^{63} +(2.92522 + 7.44601i) q^{64} +(-1.43341 - 0.827580i) q^{65} +(-8.29946 + 8.44488i) q^{66} +(3.85681 + 6.68019i) q^{67} +(-3.33888 - 4.40691i) q^{68} +(11.1483 - 5.66145i) q^{69} +(1.29472 - 0.546344i) q^{70} +5.55936 q^{71} +(-1.53616 + 8.34507i) q^{72} +(-0.445737 - 0.772039i) q^{73} +(-0.711303 + 0.239029i) q^{74} +(0.451759 - 8.40380i) q^{75} +(-6.76651 - 2.85143i) q^{76} +(-7.20780 - 10.5646i) q^{77} +(2.88438 + 10.4024i) q^{78} +(-11.3282 - 6.54032i) q^{79} +(0.406561 - 1.44624i) q^{80} +(-6.05807 + 6.65581i) q^{81} +(4.12077 + 3.63619i) q^{82} +10.1716i q^{83} +(-8.52015 - 3.37744i) q^{84} +1.03826i q^{85} +(-0.699150 + 0.792322i) q^{86} +(1.40559 + 0.915488i) q^{87} +(-13.6342 - 1.01945i) q^{88} +(-4.70650 - 2.71730i) q^{89} +(1.17629 - 1.07487i) q^{90} +(-11.6270 + 0.875077i) q^{91} +(13.3046 + 5.60663i) q^{92} +(5.56373 + 0.299087i) q^{93} +(4.68792 + 13.9503i) q^{94} +(0.689440 + 1.19414i) q^{95} +(-8.50267 + 4.86874i) q^{96} +5.31623 q^{97} +(5.36513 - 8.31958i) q^{98} +(-11.7090 - 8.55533i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q - 2 q^{3} - 2 q^{4} - 8 q^{6} - 2 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 56 q - 2 q^{3} - 2 q^{4} - 8 q^{6} - 2 q^{9} + 6 q^{10} + 10 q^{12} - 10 q^{16} - 10 q^{18} - 4 q^{19} - 20 q^{22} - 8 q^{24} - 16 q^{25} - 8 q^{27} - 22 q^{28} - 12 q^{30} - 14 q^{33} - 56 q^{34} + 4 q^{36} + 14 q^{40} - 8 q^{42} - 16 q^{43} - 12 q^{46} + 64 q^{48} - 16 q^{49} - 34 q^{51} - 8 q^{52} + 32 q^{54} + 4 q^{57} - 18 q^{58} + 40 q^{60} + 4 q^{64} - 20 q^{66} - 36 q^{67} - 42 q^{70} + 22 q^{72} + 4 q^{73} + 104 q^{76} + 28 q^{78} - 10 q^{81} + 52 q^{82} + 4 q^{84} + 46 q^{88} + 140 q^{90} + 72 q^{91} - 46 q^{96} - 32 q^{97} - 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(-1\) \(-1\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.935706 + 1.06040i −0.661644 + 0.749818i
\(3\) −1.45135 0.945295i −0.837937 0.545766i
\(4\) −0.248908 1.98445i −0.124454 0.992225i
\(5\) −0.187787 + 0.325257i −0.0839810 + 0.145459i −0.904957 0.425504i \(-0.860097\pi\)
0.820976 + 0.570963i \(0.193430\pi\)
\(6\) 2.36043 0.654497i 0.963642 0.267197i
\(7\) 0.198565 + 2.63829i 0.0750504 + 0.997180i
\(8\) 2.33722 + 1.59292i 0.826333 + 0.563182i
\(9\) 1.21283 + 2.74391i 0.404278 + 0.914636i
\(10\) −0.169190 0.503475i −0.0535025 0.159213i
\(11\) −4.18624 + 2.41693i −1.26220 + 0.728731i −0.973500 0.228688i \(-0.926556\pi\)
−0.288700 + 0.957420i \(0.593223\pi\)
\(12\) −1.51464 + 3.11542i −0.437239 + 0.899346i
\(13\) 4.40701i 1.22228i 0.791521 + 0.611142i \(0.209290\pi\)
−0.791521 + 0.611142i \(0.790710\pi\)
\(14\) −2.98345 2.25810i −0.797360 0.603504i
\(15\) 0.580009 0.294548i 0.149758 0.0760518i
\(16\) −3.87609 + 0.987893i −0.969022 + 0.246973i
\(17\) 2.39410 1.38223i 0.580653 0.335240i −0.180740 0.983531i \(-0.557849\pi\)
0.761393 + 0.648291i \(0.224516\pi\)
\(18\) −4.04450 1.28140i −0.953299 0.302029i
\(19\) 1.83569 3.17951i 0.421137 0.729431i −0.574914 0.818214i \(-0.694965\pi\)
0.996051 + 0.0887833i \(0.0282979\pi\)
\(20\) 0.692199 + 0.291695i 0.154780 + 0.0652251i
\(21\) 2.20578 4.01678i 0.481340 0.876534i
\(22\) 1.35417 6.70064i 0.288711 1.42858i
\(23\) −3.60943 + 6.25172i −0.752618 + 1.30357i 0.193932 + 0.981015i \(0.437876\pi\)
−0.946550 + 0.322558i \(0.895457\pi\)
\(24\) −1.88635 4.52125i −0.385049 0.922896i
\(25\) 2.42947 + 4.20797i 0.485894 + 0.841594i
\(26\) −4.67320 4.12366i −0.916491 0.808717i
\(27\) 0.833557 5.12886i 0.160418 0.987049i
\(28\) 5.18613 1.05073i 0.980087 0.198570i
\(29\) −0.968468 −0.179840 −0.0899200 0.995949i \(-0.528661\pi\)
−0.0899200 + 0.995949i \(0.528661\pi\)
\(30\) −0.230379 + 0.890653i −0.0420613 + 0.162610i
\(31\) −2.78588 + 1.60843i −0.500359 + 0.288883i −0.728862 0.684661i \(-0.759950\pi\)
0.228503 + 0.973543i \(0.426617\pi\)
\(32\) 2.57932 5.03459i 0.455963 0.889999i
\(33\) 8.36041 + 0.449426i 1.45536 + 0.0782351i
\(34\) −0.774447 + 3.83207i −0.132817 + 0.657194i
\(35\) −0.895411 0.430853i −0.151352 0.0728274i
\(36\) 5.14327 3.08979i 0.857211 0.514965i
\(37\) 0.459519 + 0.265303i 0.0755445 + 0.0436156i 0.537296 0.843393i \(-0.319446\pi\)
−0.461752 + 0.887009i \(0.652779\pi\)
\(38\) 1.65390 + 4.92166i 0.268297 + 0.798399i
\(39\) 4.16592 6.39611i 0.667082 1.02420i
\(40\) −0.957009 + 0.461068i −0.151316 + 0.0729013i
\(41\) 3.88604i 0.606897i −0.952848 0.303449i \(-0.901862\pi\)
0.952848 0.303449i \(-0.0981381\pi\)
\(42\) 2.19545 + 6.09754i 0.338766 + 0.940871i
\(43\) 0.747189 0.113945 0.0569726 0.998376i \(-0.481855\pi\)
0.0569726 + 0.998376i \(0.481855\pi\)
\(44\) 5.83827 + 7.70580i 0.880152 + 1.16169i
\(45\) −1.12023 0.120788i −0.166994 0.0180061i
\(46\) −3.25197 9.67722i −0.479477 1.42683i
\(47\) 5.20322 9.01223i 0.758967 1.31457i −0.184411 0.982849i \(-0.559038\pi\)
0.943378 0.331720i \(-0.107629\pi\)
\(48\) 6.55941 + 2.23027i 0.946770 + 0.321912i
\(49\) −6.92114 + 1.04774i −0.988735 + 0.149678i
\(50\) −6.73541 1.36120i −0.952531 0.192503i
\(51\) −4.78129 0.257025i −0.669514 0.0359907i
\(52\) 8.74549 1.09694i 1.21278 0.152118i
\(53\) 1.40600 + 2.43526i 0.193129 + 0.334509i 0.946285 0.323332i \(-0.104803\pi\)
−0.753157 + 0.657841i \(0.771470\pi\)
\(54\) 4.65869 + 5.68301i 0.633967 + 0.773360i
\(55\) 1.81547i 0.244798i
\(56\) −3.73849 + 6.48257i −0.499577 + 0.866269i
\(57\) −5.66981 + 2.87932i −0.750985 + 0.381375i
\(58\) 0.906201 1.02697i 0.118990 0.134847i
\(59\) 1.65184 0.953689i 0.215051 0.124160i −0.388606 0.921404i \(-0.627043\pi\)
0.603657 + 0.797244i \(0.293710\pi\)
\(60\) −0.728884 1.07768i −0.0940986 0.139128i
\(61\) −8.43102 4.86765i −1.07948 0.623239i −0.148725 0.988879i \(-0.547517\pi\)
−0.930756 + 0.365640i \(0.880850\pi\)
\(62\) 0.901184 4.45918i 0.114450 0.566316i
\(63\) −6.99840 + 3.74465i −0.881715 + 0.471782i
\(64\) 2.92522 + 7.44601i 0.365652 + 0.930752i
\(65\) −1.43341 0.827580i −0.177793 0.102649i
\(66\) −8.29946 + 8.44488i −1.02159 + 1.03949i
\(67\) 3.85681 + 6.68019i 0.471184 + 0.816115i 0.999457 0.0329601i \(-0.0104934\pi\)
−0.528273 + 0.849075i \(0.677160\pi\)
\(68\) −3.33888 4.40691i −0.404899 0.534417i
\(69\) 11.1483 5.66145i 1.34209 0.681559i
\(70\) 1.29472 0.546344i 0.154748 0.0653006i
\(71\) 5.55936 0.659774 0.329887 0.944020i \(-0.392989\pi\)
0.329887 + 0.944020i \(0.392989\pi\)
\(72\) −1.53616 + 8.34507i −0.181039 + 0.983476i
\(73\) −0.445737 0.772039i −0.0521696 0.0903603i 0.838761 0.544499i \(-0.183280\pi\)
−0.890931 + 0.454139i \(0.849947\pi\)
\(74\) −0.711303 + 0.239029i −0.0826873 + 0.0277866i
\(75\) 0.451759 8.40380i 0.0521646 0.970388i
\(76\) −6.76651 2.85143i −0.776172 0.327082i
\(77\) −7.20780 10.5646i −0.821405 1.20395i
\(78\) 2.88438 + 10.4024i 0.326591 + 1.17784i
\(79\) −11.3282 6.54032i −1.27452 0.735844i −0.298684 0.954352i \(-0.596547\pi\)
−0.975835 + 0.218509i \(0.929881\pi\)
\(80\) 0.406561 1.44624i 0.0454549 0.161695i
\(81\) −6.05807 + 6.65581i −0.673119 + 0.739534i
\(82\) 4.12077 + 3.63619i 0.455062 + 0.401550i
\(83\) 10.1716i 1.11648i 0.829680 + 0.558239i \(0.188523\pi\)
−0.829680 + 0.558239i \(0.811477\pi\)
\(84\) −8.52015 3.37744i −0.929624 0.368509i
\(85\) 1.03826i 0.112615i
\(86\) −0.699150 + 0.792322i −0.0753912 + 0.0854382i
\(87\) 1.40559 + 0.915488i 0.150695 + 0.0981506i
\(88\) −13.6342 1.01945i −1.45341 0.108674i
\(89\) −4.70650 2.71730i −0.498888 0.288033i 0.229366 0.973340i \(-0.426335\pi\)
−0.728254 + 0.685307i \(0.759668\pi\)
\(90\) 1.17629 1.07487i 0.123992 0.113302i
\(91\) −11.6270 + 0.875077i −1.21884 + 0.0917330i
\(92\) 13.3046 + 5.60663i 1.38710 + 0.584532i
\(93\) 5.56373 + 0.299087i 0.576932 + 0.0310138i
\(94\) 4.68792 + 13.9503i 0.483522 + 1.43886i
\(95\) 0.689440 + 1.19414i 0.0707350 + 0.122517i
\(96\) −8.50267 + 4.86874i −0.867800 + 0.496914i
\(97\) 5.31623 0.539781 0.269891 0.962891i \(-0.413012\pi\)
0.269891 + 0.962891i \(0.413012\pi\)
\(98\) 5.36513 8.31958i 0.541960 0.840404i
\(99\) −11.7090 8.55533i −1.17680 0.859843i
\(100\) 7.74579 5.86857i 0.774579 0.586857i
\(101\) 7.63384 + 13.2222i 0.759595 + 1.31566i 0.943057 + 0.332631i \(0.107936\pi\)
−0.183462 + 0.983027i \(0.558730\pi\)
\(102\) 4.74643 4.82959i 0.469967 0.478201i
\(103\) 11.9461 + 6.89709i 1.17709 + 0.679591i 0.955338 0.295514i \(-0.0954908\pi\)
0.221747 + 0.975104i \(0.428824\pi\)
\(104\) −7.02001 + 10.3002i −0.688369 + 1.01001i
\(105\) 0.892271 + 1.47175i 0.0870767 + 0.143628i
\(106\) −3.89796 0.787763i −0.378603 0.0765143i
\(107\) 15.4735 + 8.93365i 1.49588 + 0.863649i 0.999989 0.00473355i \(-0.00150674\pi\)
0.495895 + 0.868382i \(0.334840\pi\)
\(108\) −10.3854 0.377538i −0.999340 0.0363286i
\(109\) 3.69540 2.13354i 0.353955 0.204356i −0.312471 0.949927i \(-0.601157\pi\)
0.666426 + 0.745571i \(0.267823\pi\)
\(110\) 1.92513 + 1.69875i 0.183554 + 0.161969i
\(111\) −0.416133 0.819429i −0.0394976 0.0777768i
\(112\) −3.37600 10.0301i −0.319002 0.947754i
\(113\) 11.0965i 1.04387i −0.852986 0.521933i \(-0.825211\pi\)
0.852986 0.521933i \(-0.174789\pi\)
\(114\) 2.25204 8.70648i 0.210923 0.815436i
\(115\) −1.35561 2.34799i −0.126411 0.218951i
\(116\) 0.241060 + 1.92188i 0.0223818 + 0.178442i
\(117\) −12.0924 + 5.34497i −1.11795 + 0.494143i
\(118\) −0.534340 + 2.64399i −0.0491900 + 0.243399i
\(119\) 4.12211 + 6.04185i 0.377873 + 0.553856i
\(120\) 1.82480 + 0.235485i 0.166581 + 0.0214967i
\(121\) 6.18308 10.7094i 0.562099 0.973583i
\(122\) 13.0506 4.38559i 1.18155 0.397052i
\(123\) −3.67345 + 5.64000i −0.331224 + 0.508542i
\(124\) 3.88528 + 5.12810i 0.348909 + 0.460517i
\(125\) −3.70277 −0.331186
\(126\) 2.57761 10.9250i 0.229631 0.973278i
\(127\) 5.11149i 0.453572i 0.973945 + 0.226786i \(0.0728217\pi\)
−0.973945 + 0.226786i \(0.927178\pi\)
\(128\) −10.6329 3.86537i −0.939826 0.341654i
\(129\) −1.08443 0.706314i −0.0954790 0.0621875i
\(130\) 2.21882 0.745621i 0.194603 0.0653953i
\(131\) 9.21193 + 5.31851i 0.804850 + 0.464680i 0.845164 0.534507i \(-0.179503\pi\)
−0.0403145 + 0.999187i \(0.512836\pi\)
\(132\) −1.18911 16.7027i −0.103499 1.45378i
\(133\) 8.75298 + 4.21175i 0.758980 + 0.365205i
\(134\) −10.6925 2.16092i −0.923694 0.186675i
\(135\) 1.51167 + 1.23425i 0.130104 + 0.106228i
\(136\) 7.79732 + 0.583018i 0.668614 + 0.0499934i
\(137\) −0.319180 + 0.184279i −0.0272694 + 0.0157440i −0.513573 0.858046i \(-0.671678\pi\)
0.486303 + 0.873790i \(0.338345\pi\)
\(138\) −4.42808 + 17.1191i −0.376943 + 1.45728i
\(139\) 8.70744 0.738555 0.369278 0.929319i \(-0.379605\pi\)
0.369278 + 0.929319i \(0.379605\pi\)
\(140\) −0.632131 + 1.88414i −0.0534248 + 0.159239i
\(141\) −16.0709 + 8.16133i −1.35341 + 0.687308i
\(142\) −5.20192 + 5.89516i −0.436536 + 0.494711i
\(143\) −10.6514 18.4488i −0.890717 1.54277i
\(144\) −7.41174 9.43748i −0.617645 0.786457i
\(145\) 0.181866 0.315001i 0.0151031 0.0261594i
\(146\) 1.23575 + 0.249741i 0.102271 + 0.0206687i
\(147\) 11.0354 + 5.02188i 0.910187 + 0.414198i
\(148\) 0.412103 0.977929i 0.0338747 0.0803853i
\(149\) 7.63384 13.2222i 0.625388 1.08320i −0.363077 0.931759i \(-0.618274\pi\)
0.988466 0.151445i \(-0.0483928\pi\)
\(150\) 8.48870 + 8.34254i 0.693100 + 0.681165i
\(151\) 8.05314 4.64948i 0.655355 0.378369i −0.135150 0.990825i \(-0.543152\pi\)
0.790505 + 0.612456i \(0.209818\pi\)
\(152\) 9.35513 4.50712i 0.758801 0.365576i
\(153\) 6.69636 + 4.89276i 0.541368 + 0.395556i
\(154\) 17.9471 + 2.24219i 1.44622 + 0.180681i
\(155\) 1.20817i 0.0970427i
\(156\) −13.7297 6.67503i −1.09926 0.534430i
\(157\) −4.93578 + 2.84967i −0.393918 + 0.227429i −0.683856 0.729617i \(-0.739698\pi\)
0.289938 + 0.957045i \(0.406365\pi\)
\(158\) 17.5352 5.89260i 1.39503 0.468790i
\(159\) 0.261445 4.86350i 0.0207339 0.385701i
\(160\) 1.15317 + 1.78437i 0.0911665 + 0.141067i
\(161\) −17.2105 8.28135i −1.35638 0.652662i
\(162\) −1.38927 12.6519i −0.109151 0.994025i
\(163\) 3.31035 5.73369i 0.259286 0.449097i −0.706765 0.707449i \(-0.749846\pi\)
0.966051 + 0.258352i \(0.0831793\pi\)
\(164\) −7.71165 + 0.967268i −0.602179 + 0.0755309i
\(165\) −1.71616 + 2.63489i −0.133603 + 0.205126i
\(166\) −10.7860 9.51763i −0.837156 0.738711i
\(167\) −7.38941 −0.571809 −0.285905 0.958258i \(-0.592294\pi\)
−0.285905 + 0.958258i \(0.592294\pi\)
\(168\) 11.5538 5.87449i 0.891395 0.453227i
\(169\) −6.42173 −0.493979
\(170\) −1.10098 0.971508i −0.0844410 0.0745113i
\(171\) 10.9507 + 1.18075i 0.837420 + 0.0902944i
\(172\) −0.185982 1.48276i −0.0141810 0.113059i
\(173\) −3.21644 + 5.57103i −0.244541 + 0.423558i −0.962003 0.273041i \(-0.911971\pi\)
0.717461 + 0.696598i \(0.245304\pi\)
\(174\) −2.28600 + 0.633859i −0.173301 + 0.0480528i
\(175\) −10.6194 + 7.24520i −0.802754 + 0.547686i
\(176\) 13.8386 13.5038i 1.04312 1.01789i
\(177\) −3.29891 0.177338i −0.247962 0.0133295i
\(178\) 7.28534 2.44819i 0.546059 0.183500i
\(179\) 13.0137 7.51347i 0.972691 0.561583i 0.0726352 0.997359i \(-0.476859\pi\)
0.900055 + 0.435775i \(0.143526\pi\)
\(180\) 0.0391363 + 2.25311i 0.00291705 + 0.167937i
\(181\) 2.93639i 0.218260i −0.994027 0.109130i \(-0.965194\pi\)
0.994027 0.109130i \(-0.0348065\pi\)
\(182\) 9.95149 13.1481i 0.737653 0.974601i
\(183\) 7.63499 + 15.0345i 0.564395 + 1.11138i
\(184\) −18.3945 + 8.86212i −1.35606 + 0.653324i
\(185\) −0.172584 + 0.0996412i −0.0126886 + 0.00732577i
\(186\) −5.52317 + 5.61994i −0.404979 + 0.412074i
\(187\) −6.68151 + 11.5727i −0.488600 + 0.846281i
\(188\) −19.1795 8.08230i −1.39881 0.589463i
\(189\) 13.6969 + 1.18076i 0.996305 + 0.0858873i
\(190\) −1.91139 0.386285i −0.138667 0.0280240i
\(191\) −6.73560 + 11.6664i −0.487371 + 0.844151i −0.999895 0.0145218i \(-0.995377\pi\)
0.512524 + 0.858673i \(0.328711\pi\)
\(192\) 2.79317 13.5720i 0.201580 0.979472i
\(193\) 4.01964 + 6.96221i 0.289340 + 0.501151i 0.973652 0.228038i \(-0.0732310\pi\)
−0.684313 + 0.729189i \(0.739898\pi\)
\(194\) −4.97443 + 5.63734i −0.357143 + 0.404738i
\(195\) 1.29807 + 2.55611i 0.0929570 + 0.183047i
\(196\) 3.80192 + 13.4739i 0.271566 + 0.962420i
\(197\) −17.6399 −1.25679 −0.628395 0.777894i \(-0.716288\pi\)
−0.628395 + 0.777894i \(0.716288\pi\)
\(198\) 20.0283 4.41103i 1.42335 0.313478i
\(199\) 17.5362 10.1245i 1.24311 0.717708i 0.273381 0.961906i \(-0.411858\pi\)
0.969725 + 0.244198i \(0.0785247\pi\)
\(200\) −1.02474 + 13.7049i −0.0724600 + 0.969084i
\(201\) 0.717171 13.3411i 0.0505853 0.941010i
\(202\) −21.1639 4.27714i −1.48909 0.300939i
\(203\) −0.192304 2.55510i −0.0134971 0.179333i
\(204\) 0.680049 + 9.55220i 0.0476129 + 0.668788i
\(205\) 1.26396 + 0.729749i 0.0882789 + 0.0509679i
\(206\) −18.4917 + 6.21404i −1.28838 + 0.432953i
\(207\) −21.5318 2.32165i −1.49656 0.161366i
\(208\) −4.35365 17.0820i −0.301872 1.18442i
\(209\) 17.7470i 1.22758i
\(210\) −2.39555 0.430954i −0.165308 0.0297387i
\(211\) 4.05029 0.278833 0.139417 0.990234i \(-0.455477\pi\)
0.139417 + 0.990234i \(0.455477\pi\)
\(212\) 4.48269 3.39629i 0.307872 0.233258i
\(213\) −8.06857 5.25523i −0.552849 0.360083i
\(214\) −23.9520 + 8.04891i −1.63732 + 0.550212i
\(215\) −0.140313 + 0.243029i −0.00956924 + 0.0165744i
\(216\) 10.1181 10.6595i 0.688447 0.725286i
\(217\) −4.79668 7.03059i −0.325620 0.477268i
\(218\) −1.19540 + 5.91498i −0.0809624 + 0.400613i
\(219\) −0.0828845 + 1.54185i −0.00560082 + 0.104189i
\(220\) −3.60272 + 0.451887i −0.242895 + 0.0304662i
\(221\) 6.09151 + 10.5508i 0.409759 + 0.709724i
\(222\) 1.25830 + 0.325476i 0.0844518 + 0.0218446i
\(223\) 12.1649i 0.814623i −0.913289 0.407312i \(-0.866466\pi\)
0.913289 0.407312i \(-0.133534\pi\)
\(224\) 13.7949 + 5.80529i 0.921709 + 0.387882i
\(225\) −8.59974 + 11.7698i −0.573316 + 0.784654i
\(226\) 11.7667 + 10.3830i 0.782710 + 0.690668i
\(227\) −12.7274 + 7.34817i −0.844748 + 0.487715i −0.858875 0.512185i \(-0.828836\pi\)
0.0141276 + 0.999900i \(0.495503\pi\)
\(228\) 7.12512 + 10.5348i 0.471873 + 0.697683i
\(229\) 14.0706 + 8.12366i 0.929811 + 0.536826i 0.886752 0.462246i \(-0.152956\pi\)
0.0430590 + 0.999073i \(0.486290\pi\)
\(230\) 3.75826 + 0.759532i 0.247813 + 0.0500820i
\(231\) 0.474367 + 22.1464i 0.0312110 + 1.45713i
\(232\) −2.26352 1.54269i −0.148608 0.101283i
\(233\) −8.34905 4.82033i −0.546965 0.315790i 0.200932 0.979605i \(-0.435603\pi\)
−0.747897 + 0.663815i \(0.768936\pi\)
\(234\) 5.64714 17.8242i 0.369165 1.16520i
\(235\) 1.95420 + 3.38477i 0.127478 + 0.220798i
\(236\) −2.30371 3.04061i −0.149958 0.197927i
\(237\) 10.2586 + 20.2008i 0.666368 + 1.31218i
\(238\) −10.2639 1.28230i −0.665309 0.0831193i
\(239\) 18.9559 1.22615 0.613076 0.790024i \(-0.289932\pi\)
0.613076 + 0.790024i \(0.289932\pi\)
\(240\) −1.95719 + 1.71468i −0.126336 + 0.110682i
\(241\) −9.74116 16.8722i −0.627483 1.08683i −0.988055 0.154102i \(-0.950752\pi\)
0.360572 0.932732i \(-0.382582\pi\)
\(242\) 5.57075 + 16.5774i 0.358101 + 1.06564i
\(243\) 15.0841 3.93325i 0.967644 0.252318i
\(244\) −7.56106 + 17.9425i −0.484047 + 1.14865i
\(245\) 0.958917 2.44790i 0.0612630 0.156391i
\(246\) −2.54340 9.17272i −0.162161 0.584832i
\(247\) 14.0121 + 8.08992i 0.891572 + 0.514749i
\(248\) −9.07333 0.678428i −0.576157 0.0430802i
\(249\) 9.61517 14.7626i 0.609336 0.935539i
\(250\) 3.46470 3.92643i 0.219127 0.248329i
\(251\) 3.37389i 0.212958i 0.994315 + 0.106479i \(0.0339577\pi\)
−0.994315 + 0.106479i \(0.966042\pi\)
\(252\) 9.17303 + 12.9559i 0.577847 + 0.816145i
\(253\) 34.8949i 2.19383i
\(254\) −5.42024 4.78285i −0.340096 0.300103i
\(255\) 0.981464 1.50688i 0.0614617 0.0943646i
\(256\) 14.0481 7.65832i 0.878008 0.478645i
\(257\) 8.98721 + 5.18877i 0.560607 + 0.323666i 0.753389 0.657575i \(-0.228418\pi\)
−0.192782 + 0.981242i \(0.561751\pi\)
\(258\) 1.76369 0.489033i 0.109802 0.0304459i
\(259\) −0.608703 + 1.26502i −0.0378230 + 0.0786048i
\(260\) −1.28550 + 3.05053i −0.0797236 + 0.189186i
\(261\) −1.17459 2.65739i −0.0727053 0.164488i
\(262\) −14.2594 + 4.79179i −0.880950 + 0.296038i
\(263\) 9.47852 + 16.4173i 0.584471 + 1.01233i 0.994941 + 0.100459i \(0.0320312\pi\)
−0.410470 + 0.911874i \(0.634636\pi\)
\(264\) 18.8242 + 14.3679i 1.15855 + 0.884282i
\(265\) −1.05611 −0.0648766
\(266\) −12.6564 + 5.34073i −0.776012 + 0.327461i
\(267\) 4.26213 + 8.39279i 0.260838 + 0.513630i
\(268\) 12.2965 9.31640i 0.751129 0.569090i
\(269\) 11.7184 + 20.2968i 0.714481 + 1.23752i 0.963159 + 0.268932i \(0.0866706\pi\)
−0.248678 + 0.968586i \(0.579996\pi\)
\(270\) −2.72328 + 0.448075i −0.165734 + 0.0272690i
\(271\) −22.6598 13.0826i −1.37648 0.794713i −0.384750 0.923021i \(-0.625712\pi\)
−0.991734 + 0.128308i \(0.959046\pi\)
\(272\) −7.91423 + 7.72276i −0.479871 + 0.468261i
\(273\) 17.7020 + 9.72087i 1.07137 + 0.588334i
\(274\) 0.103249 0.510890i 0.00623751 0.0308640i
\(275\) −20.3407 11.7437i −1.22659 0.708173i
\(276\) −14.0098 20.7140i −0.843289 1.24684i
\(277\) −5.57328 + 3.21774i −0.334866 + 0.193335i −0.657999 0.753018i \(-0.728597\pi\)
0.323133 + 0.946353i \(0.395264\pi\)
\(278\) −8.14760 + 9.23339i −0.488661 + 0.553782i
\(279\) −7.79220 5.69345i −0.466507 0.340858i
\(280\) −1.40646 2.43332i −0.0840521 0.145418i
\(281\) 9.50336i 0.566923i 0.958984 + 0.283462i \(0.0914828\pi\)
−0.958984 + 0.283462i \(0.908517\pi\)
\(282\) 6.38335 24.6782i 0.380123 1.46957i
\(283\) −12.9403 22.4133i −0.769224 1.33233i −0.937984 0.346678i \(-0.887310\pi\)
0.168761 0.985657i \(-0.446024\pi\)
\(284\) −1.38377 11.0323i −0.0821117 0.654645i
\(285\) 0.128201 2.38485i 0.00759397 0.141266i
\(286\) 29.5298 + 5.96786i 1.74613 + 0.352887i
\(287\) 10.2525 0.771630i 0.605186 0.0455479i
\(288\) 16.9427 + 0.971281i 0.998361 + 0.0572333i
\(289\) −4.67887 + 8.10404i −0.275228 + 0.476709i
\(290\) 0.163855 + 0.487600i 0.00962189 + 0.0286328i
\(291\) −7.71571 5.02541i −0.452303 0.294595i
\(292\) −1.42113 + 1.07671i −0.0831651 + 0.0630097i
\(293\) −14.8775 −0.869153 −0.434576 0.900635i \(-0.643102\pi\)
−0.434576 + 0.900635i \(0.643102\pi\)
\(294\) −15.6511 + 7.00299i −0.912793 + 0.408423i
\(295\) 0.716363i 0.0417083i
\(296\) 0.651391 + 1.35205i 0.0378613 + 0.0785863i
\(297\) 8.90661 + 23.4853i 0.516814 + 1.36275i
\(298\) 6.87783 + 20.4670i 0.398422 + 1.18562i
\(299\) −27.5514 15.9068i −1.59334 0.919913i
\(300\) −16.7894 + 1.19528i −0.969335 + 0.0690098i
\(301\) 0.148365 + 1.97130i 0.00855164 + 0.113624i
\(302\) −2.60505 + 12.8901i −0.149904 + 0.741743i
\(303\) 1.41951 26.4063i 0.0815486 1.51700i
\(304\) −3.97429 + 14.1375i −0.227941 + 0.810844i
\(305\) 3.16648 1.82817i 0.181312 0.104681i
\(306\) −11.4541 + 2.52265i −0.654788 + 0.144210i
\(307\) −14.4651 −0.825566 −0.412783 0.910830i \(-0.635443\pi\)
−0.412783 + 0.910830i \(0.635443\pi\)
\(308\) −19.1709 + 16.9331i −1.09236 + 0.964855i
\(309\) −10.8182 21.3027i −0.615426 1.21187i
\(310\) 1.28115 + 1.13049i 0.0727643 + 0.0642077i
\(311\) −14.6310 25.3417i −0.829649 1.43699i −0.898314 0.439354i \(-0.855207\pi\)
0.0686650 0.997640i \(-0.478126\pi\)
\(312\) 19.9252 8.31315i 1.12804 0.470640i
\(313\) −14.5480 + 25.1978i −0.822300 + 1.42427i 0.0816651 + 0.996660i \(0.473976\pi\)
−0.903965 + 0.427606i \(0.859357\pi\)
\(314\) 1.59664 7.90037i 0.0901034 0.445843i
\(315\) 0.0962363 2.97948i 0.00542230 0.167875i
\(316\) −10.1593 + 24.1081i −0.571504 + 1.35619i
\(317\) 13.8872 24.0533i 0.779983 1.35097i −0.151967 0.988385i \(-0.548561\pi\)
0.931951 0.362585i \(-0.118106\pi\)
\(318\) 4.91263 + 4.82804i 0.275487 + 0.270743i
\(319\) 4.05424 2.34072i 0.226994 0.131055i
\(320\) −2.97119 0.446819i −0.166094 0.0249780i
\(321\) −14.0126 27.5929i −0.782106 1.54009i
\(322\) 24.8856 10.5012i 1.38682 0.585209i
\(323\) 10.1494i 0.564728i
\(324\) 14.7160 + 10.3653i 0.817557 + 0.575847i
\(325\) −18.5446 + 10.7067i −1.02867 + 0.593901i
\(326\) 2.98251 + 8.87535i 0.165186 + 0.491560i
\(327\) −7.38015 0.396731i −0.408123 0.0219392i
\(328\) 6.19015 9.08254i 0.341794 0.501499i
\(329\) 24.8101 + 11.9381i 1.36782 + 0.658168i
\(330\) −1.18822 4.28530i −0.0654095 0.235898i
\(331\) −0.378164 + 0.654999i −0.0207858 + 0.0360020i −0.876231 0.481891i \(-0.839950\pi\)
0.855445 + 0.517893i \(0.173283\pi\)
\(332\) 20.1850 2.53180i 1.10780 0.138950i
\(333\) −0.170648 + 1.58265i −0.00935146 + 0.0867285i
\(334\) 6.91431 7.83575i 0.378334 0.428753i
\(335\) −2.89704 −0.158282
\(336\) −4.58163 + 17.7485i −0.249948 + 0.968259i
\(337\) 29.0613 1.58307 0.791534 0.611125i \(-0.209283\pi\)
0.791534 + 0.611125i \(0.209283\pi\)
\(338\) 6.00885 6.80962i 0.326838 0.370394i
\(339\) −10.4894 + 16.1048i −0.569707 + 0.874695i
\(340\) 2.06038 0.258432i 0.111740 0.0140155i
\(341\) 7.77492 13.4666i 0.421036 0.729255i
\(342\) −11.4987 + 10.5073i −0.621778 + 0.568170i
\(343\) −4.13854 18.0519i −0.223460 0.974713i
\(344\) 1.74635 + 1.19021i 0.0941567 + 0.0641719i
\(345\) −0.252075 + 4.68920i −0.0135713 + 0.252458i
\(346\) −2.89790 8.62357i −0.155792 0.463606i
\(347\) −5.20535 + 3.00531i −0.279438 + 0.161334i −0.633169 0.774014i \(-0.718246\pi\)
0.353731 + 0.935347i \(0.384913\pi\)
\(348\) 1.46688 3.01719i 0.0786329 0.161738i
\(349\) 28.4268i 1.52165i −0.648956 0.760826i \(-0.724794\pi\)
0.648956 0.760826i \(-0.275206\pi\)
\(350\) 2.25383 18.0403i 0.120472 0.964292i
\(351\) 22.6029 + 3.67350i 1.20645 + 0.196077i
\(352\) 1.37061 + 27.3100i 0.0730538 + 1.45563i
\(353\) 21.7376 12.5502i 1.15698 0.667982i 0.206400 0.978468i \(-0.433825\pi\)
0.950578 + 0.310486i \(0.100492\pi\)
\(354\) 3.27486 3.33224i 0.174057 0.177107i
\(355\) −1.04398 + 1.80822i −0.0554085 + 0.0959704i
\(356\) −4.22086 + 10.0162i −0.223705 + 0.530857i
\(357\) −0.271288 12.6655i −0.0143581 0.670327i
\(358\) −4.20970 + 20.8302i −0.222490 + 1.10091i
\(359\) −10.7300 + 18.5850i −0.566309 + 0.980876i 0.430617 + 0.902535i \(0.358296\pi\)
−0.996927 + 0.0783417i \(0.975037\pi\)
\(360\) −2.42582 2.06675i −0.127852 0.108927i
\(361\) 2.76046 + 4.78126i 0.145287 + 0.251645i
\(362\) 3.11375 + 2.74759i 0.163655 + 0.144410i
\(363\) −19.0974 + 9.69827i −1.00235 + 0.509027i
\(364\) 4.63060 + 22.8553i 0.242709 + 1.19794i
\(365\) 0.334815 0.0175250
\(366\) −23.0867 5.97168i −1.20676 0.312144i
\(367\) −13.0996 + 7.56304i −0.683792 + 0.394788i −0.801282 0.598286i \(-0.795848\pi\)
0.117490 + 0.993074i \(0.462515\pi\)
\(368\) 7.81445 27.7979i 0.407356 1.44907i
\(369\) 10.6629 4.71312i 0.555090 0.245355i
\(370\) 0.0558277 0.276243i 0.00290235 0.0143612i
\(371\) −6.14574 + 4.19299i −0.319071 + 0.217689i
\(372\) −0.791337 11.1154i −0.0410289 0.576307i
\(373\) 15.7355 + 9.08488i 0.814752 + 0.470397i 0.848603 0.529029i \(-0.177444\pi\)
−0.0338512 + 0.999427i \(0.510777\pi\)
\(374\) −6.01981 17.9137i −0.311277 0.926298i
\(375\) 5.37401 + 3.50021i 0.277513 + 0.180750i
\(376\) 26.5168 12.7753i 1.36750 0.658835i
\(377\) 4.26805i 0.219816i
\(378\) −14.0684 + 13.4194i −0.723599 + 0.690221i
\(379\) 25.7493 1.32265 0.661327 0.750098i \(-0.269994\pi\)
0.661327 + 0.750098i \(0.269994\pi\)
\(380\) 2.19811 1.66539i 0.112761 0.0854328i
\(381\) 4.83187 7.41856i 0.247544 0.380065i
\(382\) −6.06854 18.0588i −0.310494 0.923967i
\(383\) −6.66796 + 11.5492i −0.340717 + 0.590139i −0.984566 0.175013i \(-0.944003\pi\)
0.643849 + 0.765153i \(0.277336\pi\)
\(384\) 11.7782 + 15.6613i 0.601052 + 0.799210i
\(385\) 4.78975 0.360489i 0.244108 0.0183722i
\(386\) −11.1439 2.25215i −0.567212 0.114631i
\(387\) 0.906216 + 2.05022i 0.0460656 + 0.104218i
\(388\) −1.32325 10.5498i −0.0671781 0.535585i
\(389\) −10.4385 18.0801i −0.529255 0.916696i −0.999418 0.0341165i \(-0.989138\pi\)
0.470163 0.882580i \(-0.344195\pi\)
\(390\) −3.92512 1.01528i −0.198756 0.0514108i
\(391\) 19.9563i 1.00923i
\(392\) −17.8452 8.57602i −0.901320 0.433154i
\(393\) −8.34217 16.4270i −0.420807 0.828633i
\(394\) 16.5058 18.7054i 0.831548 0.942364i
\(395\) 4.25457 2.45638i 0.214071 0.123594i
\(396\) −14.0632 + 25.3655i −0.706700 + 1.27467i
\(397\) 12.4606 + 7.19413i 0.625379 + 0.361063i 0.778960 0.627073i \(-0.215747\pi\)
−0.153581 + 0.988136i \(0.549081\pi\)
\(398\) −5.67264 + 28.0690i −0.284344 + 1.40697i
\(399\) −8.72229 14.3869i −0.436661 0.720245i
\(400\) −13.5739 13.9104i −0.678694 0.695520i
\(401\) 10.7223 + 6.19052i 0.535446 + 0.309140i 0.743231 0.669035i \(-0.233292\pi\)
−0.207785 + 0.978174i \(0.566626\pi\)
\(402\) 13.4759 + 13.2438i 0.672116 + 0.660543i
\(403\) −7.08837 12.2774i −0.353097 0.611581i
\(404\) 24.3387 18.4401i 1.21089 0.917429i
\(405\) −1.02722 3.22031i −0.0510430 0.160018i
\(406\) 2.88937 + 2.18690i 0.143397 + 0.108534i
\(407\) −2.56488 −0.127136
\(408\) −10.7655 8.21693i −0.532972 0.406799i
\(409\) 6.18520 + 10.7131i 0.305839 + 0.529728i 0.977448 0.211178i \(-0.0677299\pi\)
−0.671609 + 0.740906i \(0.734397\pi\)
\(410\) −1.95652 + 0.657478i −0.0966258 + 0.0324705i
\(411\) 0.637440 + 0.0342665i 0.0314426 + 0.00169024i
\(412\) 10.7134 25.4232i 0.527814 1.25251i
\(413\) 2.84411 + 4.16866i 0.139949 + 0.205126i
\(414\) 22.6093 20.6600i 1.11119 1.01538i
\(415\) −3.30839 1.91010i −0.162402 0.0937630i
\(416\) 22.1875 + 11.3671i 1.08783 + 0.557316i
\(417\) −12.6375 8.23110i −0.618863 0.403079i
\(418\) −18.8189 16.6059i −0.920464 0.812223i
\(419\) 34.6654i 1.69352i −0.531977 0.846759i \(-0.678551\pi\)
0.531977 0.846759i \(-0.321449\pi\)
\(420\) 2.69851 2.13700i 0.131674 0.104275i
\(421\) 14.1870i 0.691432i 0.938339 + 0.345716i \(0.112364\pi\)
−0.938339 + 0.345716i \(0.887636\pi\)
\(422\) −3.78988 + 4.29493i −0.184488 + 0.209074i
\(423\) 31.0394 + 3.34681i 1.50919 + 0.162727i
\(424\) −0.593043 + 7.93139i −0.0288007 + 0.385182i
\(425\) 11.6328 + 6.71618i 0.564272 + 0.325783i
\(426\) 13.1225 3.63858i 0.635786 0.176290i
\(427\) 11.1682 23.2100i 0.540466 1.12321i
\(428\) 13.8769 32.9301i 0.670765 1.59174i
\(429\) −1.98063 + 36.8444i −0.0956255 + 1.77887i
\(430\) −0.126417 0.376191i −0.00609636 0.0181416i
\(431\) −5.38724 9.33097i −0.259494 0.449457i 0.706612 0.707601i \(-0.250223\pi\)
−0.966107 + 0.258144i \(0.916889\pi\)
\(432\) 1.83582 + 20.7034i 0.0883259 + 0.996092i
\(433\) −12.9960 −0.624548 −0.312274 0.949992i \(-0.601091\pi\)
−0.312274 + 0.949992i \(0.601091\pi\)
\(434\) 11.9435 + 1.49215i 0.573308 + 0.0716254i
\(435\) −0.561720 + 0.285260i −0.0269324 + 0.0136772i
\(436\) −5.15372 6.80228i −0.246819 0.325770i
\(437\) 13.2516 + 22.9525i 0.633911 + 1.09797i
\(438\) −1.55743 1.53061i −0.0744168 0.0731354i
\(439\) 24.6844 + 14.2516i 1.17812 + 0.680190i 0.955580 0.294732i \(-0.0952304\pi\)
0.222544 + 0.974923i \(0.428564\pi\)
\(440\) 2.89190 4.24317i 0.137866 0.202285i
\(441\) −11.2691 17.7202i −0.536624 0.843821i
\(442\) −16.8880 3.41300i −0.803278 0.162340i
\(443\) −7.81403 4.51143i −0.371256 0.214345i 0.302751 0.953070i \(-0.402095\pi\)
−0.674007 + 0.738725i \(0.735428\pi\)
\(444\) −1.52254 + 1.02976i −0.0722565 + 0.0488702i
\(445\) 1.76764 1.02055i 0.0837943 0.0483787i
\(446\) 12.8997 + 11.3828i 0.610819 + 0.538991i
\(447\) −23.5782 + 11.9738i −1.11521 + 0.566341i
\(448\) −19.0639 + 9.19608i −0.900684 + 0.434474i
\(449\) 35.2242i 1.66233i 0.556023 + 0.831167i \(0.312327\pi\)
−0.556023 + 0.831167i \(0.687673\pi\)
\(450\) −4.43392 20.1323i −0.209017 0.949044i
\(451\) 9.39228 + 16.2679i 0.442265 + 0.766025i
\(452\) −22.0204 + 2.76200i −1.03575 + 0.129914i
\(453\) −16.0830 0.864568i −0.755648 0.0406209i
\(454\) 4.11709 20.3719i 0.193225 0.956101i
\(455\) 1.89877 3.94608i 0.0890158 0.184995i
\(456\) −17.8381 2.30195i −0.835347 0.107799i
\(457\) 1.94999 3.37748i 0.0912165 0.157992i −0.816807 0.576911i \(-0.804258\pi\)
0.908023 + 0.418920i \(0.137591\pi\)
\(458\) −21.7803 + 7.31914i −1.01773 + 0.342001i
\(459\) −5.09365 13.4311i −0.237751 0.626912i
\(460\) −4.32204 + 3.27458i −0.201516 + 0.152678i
\(461\) −1.86342 −0.0867882 −0.0433941 0.999058i \(-0.513817\pi\)
−0.0433941 + 0.999058i \(0.513817\pi\)
\(462\) −23.9280 20.2195i −1.11323 0.940698i
\(463\) 10.6477i 0.494841i 0.968908 + 0.247421i \(0.0795829\pi\)
−0.968908 + 0.247421i \(0.920417\pi\)
\(464\) 3.75387 0.956742i 0.174269 0.0444157i
\(465\) −1.14208 + 1.75348i −0.0529626 + 0.0813157i
\(466\) 12.9237 4.34295i 0.598681 0.201183i
\(467\) 12.9511 + 7.47734i 0.599307 + 0.346010i 0.768769 0.639527i \(-0.220870\pi\)
−0.169462 + 0.985537i \(0.554203\pi\)
\(468\) 13.6167 + 22.6664i 0.629434 + 1.04776i
\(469\) −16.8584 + 11.5018i −0.778451 + 0.531105i
\(470\) −5.41777 1.09491i −0.249903 0.0505045i
\(471\) 9.85732 + 0.529895i 0.454201 + 0.0244163i
\(472\) 5.37986 + 0.402261i 0.247628 + 0.0185156i
\(473\) −3.12792 + 1.80590i −0.143822 + 0.0830355i
\(474\) −31.0200 8.02372i −1.42479 0.368542i
\(475\) 17.8391 0.818512
\(476\) 10.9637 9.68399i 0.502522 0.443865i
\(477\) −4.97689 + 6.81150i −0.227876 + 0.311877i
\(478\) −17.7371 + 20.1008i −0.811276 + 0.919391i
\(479\) −4.80660 8.32527i −0.219619 0.380391i 0.735073 0.677988i \(-0.237148\pi\)
−0.954692 + 0.297597i \(0.903815\pi\)
\(480\) 0.0130996 3.67984i 0.000597911 0.167961i
\(481\) −1.16919 + 2.02510i −0.0533107 + 0.0923368i
\(482\) 27.0062 + 5.45785i 1.23010 + 0.248598i
\(483\) 17.1502 + 28.2882i 0.780361 + 1.28716i
\(484\) −22.7913 9.60436i −1.03597 0.436562i
\(485\) −0.998320 + 1.72914i −0.0453314 + 0.0785163i
\(486\) −9.94344 + 19.6756i −0.451044 + 0.892502i
\(487\) −21.0228 + 12.1375i −0.952635 + 0.550004i −0.893899 0.448269i \(-0.852041\pi\)
−0.0587366 + 0.998274i \(0.518707\pi\)
\(488\) −11.9514 24.8067i −0.541014 1.12295i
\(489\) −10.2245 + 5.19234i −0.462368 + 0.234806i
\(490\) 1.69850 + 3.30736i 0.0767304 + 0.149411i
\(491\) 11.4648i 0.517399i 0.965958 + 0.258699i \(0.0832939\pi\)
−0.965958 + 0.258699i \(0.916706\pi\)
\(492\) 12.1067 + 5.88594i 0.545810 + 0.265359i
\(493\) −2.31860 + 1.33865i −0.104425 + 0.0602896i
\(494\) −21.6898 + 7.28874i −0.975871 + 0.327936i
\(495\) 4.98149 2.20187i 0.223902 0.0989666i
\(496\) 9.20938 8.98657i 0.413513 0.403509i
\(497\) 1.10389 + 14.6672i 0.0495163 + 0.657913i
\(498\) 6.65729 + 24.0094i 0.298320 + 1.07589i
\(499\) −5.02244 + 8.69913i −0.224835 + 0.389426i −0.956270 0.292485i \(-0.905518\pi\)
0.731435 + 0.681912i \(0.238851\pi\)
\(500\) 0.921650 + 7.34796i 0.0412175 + 0.328611i
\(501\) 10.7246 + 6.98517i 0.479140 + 0.312074i
\(502\) −3.57768 3.15697i −0.159680 0.140902i
\(503\) 27.7498 1.23730 0.618652 0.785665i \(-0.287679\pi\)
0.618652 + 0.785665i \(0.287679\pi\)
\(504\) −22.3217 2.39581i −0.994289 0.106718i
\(505\) −5.73415 −0.255166
\(506\) 37.0027 + 32.6514i 1.64497 + 1.45153i
\(507\) 9.32017 + 6.07043i 0.413923 + 0.269597i
\(508\) 10.1435 1.27229i 0.450045 0.0564489i
\(509\) −0.887907 + 1.53790i −0.0393558 + 0.0681662i −0.885032 0.465530i \(-0.845864\pi\)
0.845677 + 0.533696i \(0.179197\pi\)
\(510\) 0.679540 + 2.45075i 0.0300905 + 0.108521i
\(511\) 1.94835 1.32928i 0.0861901 0.0588040i
\(512\) −5.02402 + 22.0626i −0.222032 + 0.975039i
\(513\) −14.7771 12.0653i −0.652426 0.532697i
\(514\) −13.9116 + 4.67490i −0.613613 + 0.206201i
\(515\) −4.48666 + 2.59037i −0.197706 + 0.114145i
\(516\) −1.13172 + 2.32781i −0.0498213 + 0.102476i
\(517\) 50.3032i 2.21233i
\(518\) −0.771868 1.82916i −0.0339139 0.0803687i
\(519\) 9.93445 5.04504i 0.436074 0.221452i
\(520\) −2.03193 4.21755i −0.0891061 0.184952i
\(521\) −25.8700 + 14.9361i −1.13339 + 0.654361i −0.944784 0.327693i \(-0.893729\pi\)
−0.188602 + 0.982054i \(0.560395\pi\)
\(522\) 3.91697 + 1.24099i 0.171441 + 0.0543168i
\(523\) −21.7587 + 37.6872i −0.951442 + 1.64795i −0.209133 + 0.977887i \(0.567064\pi\)
−0.742309 + 0.670058i \(0.766269\pi\)
\(524\) 8.26139 19.6044i 0.360901 0.856424i
\(525\) 22.2614 0.476829i 0.971566 0.0208105i
\(526\) −26.2780 5.31070i −1.14578 0.231557i
\(527\) −4.44645 + 7.70147i −0.193690 + 0.335481i
\(528\) −32.8497 + 6.51718i −1.42960 + 0.283624i
\(529\) −14.5560 25.2117i −0.632868 1.09616i
\(530\) 0.988213 1.11991i 0.0429252 0.0486456i
\(531\) 4.62024 + 3.37583i 0.200501 + 0.146498i
\(532\) 6.17932 18.4182i 0.267908 0.798530i
\(533\) 17.1258 0.741801
\(534\) −12.8878 3.33361i −0.557711 0.144259i
\(535\) −5.81147 + 3.35525i −0.251252 + 0.145060i
\(536\) −1.62678 + 21.7567i −0.0702663 + 0.939745i
\(537\) −25.9899 1.39713i −1.12155 0.0602904i
\(538\) −32.4877 6.56565i −1.40065 0.283065i
\(539\) 26.4413 21.1140i 1.13891 0.909445i
\(540\) 2.07305 3.30704i 0.0892099 0.142312i
\(541\) −34.4429 19.8856i −1.48082 0.854950i −0.481052 0.876692i \(-0.659745\pi\)
−0.999764 + 0.0217423i \(0.993079\pi\)
\(542\) 35.0758 11.7870i 1.50663 0.506295i
\(543\) −2.77575 + 4.26172i −0.119119 + 0.182888i
\(544\) −0.783847 15.6185i −0.0336071 0.669638i
\(545\) 1.60261i 0.0686482i
\(546\) −26.8719 + 9.67537i −1.15001 + 0.414068i
\(547\) −0.868848 −0.0371493 −0.0185746 0.999827i \(-0.505913\pi\)
−0.0185746 + 0.999827i \(0.505913\pi\)
\(548\) 0.445139 + 0.587529i 0.0190154 + 0.0250980i
\(549\) 3.13097 29.0376i 0.133626 1.23929i
\(550\) 31.4860 10.5807i 1.34257 0.451162i
\(551\) −1.77781 + 3.07926i −0.0757372 + 0.131181i
\(552\) 35.0742 + 4.52621i 1.49286 + 0.192648i
\(553\) 15.0059 31.1857i 0.638115 1.32615i
\(554\) 1.80286 8.92078i 0.0765961 0.379008i
\(555\) 0.344670 + 0.0185282i 0.0146304 + 0.000786479i
\(556\) −2.16735 17.2795i −0.0919163 0.732813i
\(557\) −10.8279 18.7545i −0.458793 0.794653i 0.540104 0.841598i \(-0.318385\pi\)
−0.998897 + 0.0469450i \(0.985051\pi\)
\(558\) 13.3286 2.93547i 0.564243 0.124269i
\(559\) 3.29287i 0.139274i
\(560\) 3.89633 + 0.785454i 0.164650 + 0.0331915i
\(561\) 20.6368 10.4801i 0.871288 0.442468i
\(562\) −10.0774 8.89236i −0.425089 0.375101i
\(563\) −2.69778 + 1.55756i −0.113698 + 0.0656435i −0.555770 0.831336i \(-0.687577\pi\)
0.442073 + 0.896979i \(0.354243\pi\)
\(564\) 20.1959 + 29.8605i 0.850403 + 1.25735i
\(565\) 3.60920 + 2.08377i 0.151840 + 0.0876650i
\(566\) 35.8755 + 7.25032i 1.50796 + 0.304753i
\(567\) −18.7629 14.6613i −0.787967 0.615718i
\(568\) 12.9934 + 8.85560i 0.545193 + 0.371573i
\(569\) 12.2778 + 7.08859i 0.514712 + 0.297169i 0.734768 0.678318i \(-0.237291\pi\)
−0.220056 + 0.975487i \(0.570624\pi\)
\(570\) 2.40894 + 2.36746i 0.100899 + 0.0991620i
\(571\) 8.29244 + 14.3629i 0.347028 + 0.601070i 0.985720 0.168392i \(-0.0538576\pi\)
−0.638692 + 0.769462i \(0.720524\pi\)
\(572\) −33.9595 + 25.7293i −1.41992 + 1.07580i
\(573\) 20.8039 10.5649i 0.869096 0.441355i
\(574\) −8.77508 + 11.5938i −0.366265 + 0.483916i
\(575\) −35.0760 −1.46277
\(576\) −16.8834 + 17.0573i −0.703474 + 0.710721i
\(577\) 2.31456 + 4.00893i 0.0963563 + 0.166894i 0.910174 0.414226i \(-0.135948\pi\)
−0.813818 + 0.581120i \(0.802615\pi\)
\(578\) −4.21550 12.5445i −0.175342 0.521782i
\(579\) 0.747449 13.9043i 0.0310629 0.577845i
\(580\) −0.670372 0.282498i −0.0278357 0.0117301i
\(581\) −26.8356 + 2.01972i −1.11333 + 0.0837922i
\(582\) 12.5486 3.47946i 0.520156 0.144228i
\(583\) −11.7717 6.79639i −0.487534 0.281478i
\(584\) 0.188010 2.51445i 0.00777989 0.104049i
\(585\) 0.532315 4.93687i 0.0220085 0.204114i
\(586\) 13.9210 15.7761i 0.575070 0.651707i
\(587\) 8.36823i 0.345394i −0.984975 0.172697i \(-0.944752\pi\)
0.984975 0.172697i \(-0.0552481\pi\)
\(588\) 7.21887 23.1493i 0.297701 0.954659i
\(589\) 11.8103i 0.486637i
\(590\) −0.759633 0.670305i −0.0312736 0.0275960i
\(591\) 25.6017 + 16.6749i 1.05311 + 0.685914i
\(592\) −2.04323 0.574384i −0.0839762 0.0236070i
\(593\) −40.0030 23.0957i −1.64273 0.948428i −0.979859 0.199690i \(-0.936006\pi\)
−0.662867 0.748738i \(-0.730660\pi\)
\(594\) −33.2378 12.5307i −1.36376 0.514142i
\(595\) −2.73924 + 0.206162i −0.112298 + 0.00845183i
\(596\) −28.1389 11.8579i −1.15262 0.485717i
\(597\) −35.0218 1.88265i −1.43335 0.0770516i
\(598\) 42.6476 14.3315i 1.74399 0.586057i
\(599\) −6.73034 11.6573i −0.274994 0.476304i 0.695139 0.718875i \(-0.255343\pi\)
−0.970134 + 0.242571i \(0.922009\pi\)
\(600\) 14.4424 18.9219i 0.589610 0.772485i
\(601\) 26.7076 1.08943 0.544714 0.838622i \(-0.316638\pi\)
0.544714 + 0.838622i \(0.316638\pi\)
\(602\) −2.22920 1.68723i −0.0908554 0.0687664i
\(603\) −13.6522 + 18.6847i −0.555959 + 0.760899i
\(604\) −11.2312 14.8238i −0.456989 0.603170i
\(605\) 2.32221 + 4.02219i 0.0944112 + 0.163525i
\(606\) 26.6730 + 26.2138i 1.08352 + 1.06486i
\(607\) 15.4624 + 8.92721i 0.627599 + 0.362344i 0.779821 0.626002i \(-0.215310\pi\)
−0.152223 + 0.988346i \(0.548643\pi\)
\(608\) −11.2727 17.4429i −0.457169 0.707405i
\(609\) −2.13622 + 3.89013i −0.0865641 + 0.157636i
\(610\) −1.02430 + 5.06837i −0.0414727 + 0.205212i
\(611\) 39.7170 + 22.9306i 1.60678 + 0.927674i
\(612\) 8.04266 14.5064i 0.325105 0.586388i
\(613\) 10.6663 6.15819i 0.430808 0.248727i −0.268883 0.963173i \(-0.586655\pi\)
0.699691 + 0.714446i \(0.253321\pi\)
\(614\) 13.5351 15.3388i 0.546231 0.619024i
\(615\) −1.14462 2.25394i −0.0461557 0.0908875i
\(616\) −0.0176629 36.1733i −0.000711659 1.45746i
\(617\) 19.5109i 0.785478i −0.919650 0.392739i \(-0.871528\pi\)
0.919650 0.392739i \(-0.128472\pi\)
\(618\) 32.7121 + 8.46141i 1.31587 + 0.340368i
\(619\) −6.50490 11.2668i −0.261454 0.452851i 0.705175 0.709034i \(-0.250869\pi\)
−0.966628 + 0.256182i \(0.917535\pi\)
\(620\) −2.39756 + 0.300724i −0.0962882 + 0.0120774i
\(621\) 29.0555 + 23.7234i 1.16596 + 0.951988i
\(622\) 40.5627 + 8.19758i 1.62642 + 0.328693i
\(623\) 6.23448 12.9567i 0.249779 0.519098i
\(624\) −9.82882 + 28.9074i −0.393468 + 1.15722i
\(625\) −11.4520 + 19.8355i −0.458081 + 0.793420i
\(626\) −13.1072 39.0045i −0.523870 1.55893i
\(627\) 16.7761 25.7570i 0.669973 1.02864i
\(628\) 6.88359 + 9.08550i 0.274685 + 0.362551i
\(629\) 1.46684 0.0584869
\(630\) 3.06940 + 2.88996i 0.122288 + 0.115139i
\(631\) 14.6772i 0.584292i −0.956374 0.292146i \(-0.905631\pi\)
0.956374 0.292146i \(-0.0943693\pi\)
\(632\) −16.0582 33.3310i −0.638763 1.32584i
\(633\) −5.87838 3.82872i −0.233645 0.152178i
\(634\) 12.5119 + 37.2329i 0.496911 + 1.47871i
\(635\) −1.66255 0.959873i −0.0659763 0.0380914i
\(636\) −9.71645 + 0.691742i −0.385282 + 0.0274294i
\(637\) −4.61741 30.5015i −0.182948 1.20852i
\(638\) −1.31147 + 6.48935i −0.0519218 + 0.256916i
\(639\) 6.74257 + 15.2544i 0.266732 + 0.603453i
\(640\) 3.25397 2.73256i 0.128624 0.108014i
\(641\) 17.2820 9.97777i 0.682598 0.394098i −0.118235 0.992986i \(-0.537724\pi\)
0.800833 + 0.598887i \(0.204390\pi\)
\(642\) 42.3713 + 10.9599i 1.67226 + 0.432552i
\(643\) −8.29440 −0.327099 −0.163550 0.986535i \(-0.552294\pi\)
−0.163550 + 0.986535i \(0.552294\pi\)
\(644\) −12.1501 + 36.2148i −0.478780 + 1.42706i
\(645\) 0.433377 0.220083i 0.0170642 0.00866575i
\(646\) 10.7625 + 9.49687i 0.423444 + 0.373649i
\(647\) 4.46446 + 7.73268i 0.175516 + 0.304003i 0.940340 0.340237i \(-0.110507\pi\)
−0.764824 + 0.644240i \(0.777174\pi\)
\(648\) −24.7612 + 5.90609i −0.972713 + 0.232013i
\(649\) −4.61000 + 7.98475i −0.180958 + 0.313429i
\(650\) 5.99883 29.6830i 0.235294 1.16426i
\(651\) 0.315684 + 14.7381i 0.0123726 + 0.577633i
\(652\) −12.2022 5.14206i −0.477875 0.201379i
\(653\) −1.45211 + 2.51513i −0.0568255 + 0.0984246i −0.893039 0.449980i \(-0.851431\pi\)
0.836213 + 0.548404i \(0.184765\pi\)
\(654\) 7.32634 7.45470i 0.286483 0.291502i
\(655\) −3.45977 + 1.99750i −0.135184 + 0.0780486i
\(656\) 3.83899 + 15.0626i 0.149887 + 0.588097i
\(657\) 1.57780 2.15942i 0.0615558 0.0842469i
\(658\) −35.8741 + 15.1381i −1.39852 + 0.590146i
\(659\) 17.3517i 0.675925i −0.941160 0.337962i \(-0.890262\pi\)
0.941160 0.337962i \(-0.109738\pi\)
\(660\) 5.65597 + 2.74979i 0.220158 + 0.107035i
\(661\) 14.3912 8.30877i 0.559753 0.323174i −0.193293 0.981141i \(-0.561917\pi\)
0.753046 + 0.657967i \(0.228584\pi\)
\(662\) −0.340713 1.01389i −0.0132422 0.0394061i
\(663\) 1.13271 21.0712i 0.0439909 0.818337i
\(664\) −16.2025 + 23.7733i −0.628781 + 0.922583i
\(665\) −3.01360 + 2.05606i −0.116862 + 0.0797305i
\(666\) −1.51857 1.66185i −0.0588433 0.0643953i
\(667\) 3.49562 6.05459i 0.135351 0.234434i
\(668\) 1.83929 + 14.6639i 0.0711641 + 0.567364i
\(669\) −11.4994 + 17.6556i −0.444594 + 0.682603i
\(670\) 2.71078 3.07203i 0.104726 0.118683i
\(671\) 47.0591 1.81669
\(672\) −14.5335 21.4657i −0.560641 0.828059i
\(673\) 24.8947 0.959622 0.479811 0.877372i \(-0.340705\pi\)
0.479811 + 0.877372i \(0.340705\pi\)
\(674\) −27.1928 + 30.8167i −1.04743 + 1.18701i
\(675\) 23.6072 8.95283i 0.908641 0.344595i
\(676\) 1.59842 + 12.7436i 0.0614778 + 0.490139i
\(677\) −4.56843 + 7.91276i −0.175579 + 0.304112i −0.940362 0.340177i \(-0.889513\pi\)
0.764782 + 0.644289i \(0.222846\pi\)
\(678\) −7.26260 26.1924i −0.278918 1.00591i
\(679\) 1.05562 + 14.0258i 0.0405108 + 0.538259i
\(680\) −1.65387 + 2.42665i −0.0634229 + 0.0930578i
\(681\) 25.4181 + 1.36639i 0.974024 + 0.0523601i
\(682\) 7.00494 + 20.8453i 0.268233 + 0.798207i
\(683\) 13.5982 7.85092i 0.520320 0.300407i −0.216745 0.976228i \(-0.569544\pi\)
0.737066 + 0.675821i \(0.236211\pi\)
\(684\) −0.382573 22.0250i −0.0146280 0.842147i
\(685\) 0.138421i 0.00528879i
\(686\) 23.0148 + 12.5028i 0.878709 + 0.477358i
\(687\) −12.7421 25.0911i −0.486141 0.957286i
\(688\) −2.89617 + 0.738143i −0.110416 + 0.0281414i
\(689\) −10.7322 + 6.19625i −0.408865 + 0.236058i
\(690\) −4.73657 4.65502i −0.180318 0.177213i
\(691\) −0.617408 + 1.06938i −0.0234873 + 0.0406812i −0.877530 0.479521i \(-0.840810\pi\)
0.854043 + 0.520203i \(0.174144\pi\)
\(692\) 11.8560 + 4.99618i 0.450699 + 0.189926i
\(693\) 20.2464 32.5906i 0.769099 1.23802i
\(694\) 1.68384 8.33186i 0.0639177 0.316273i
\(695\) −1.63515 + 2.83216i −0.0620246 + 0.107430i
\(696\) 1.82687 + 4.37868i 0.0692472 + 0.165974i
\(697\) −5.37140 9.30355i −0.203456 0.352397i
\(698\) 30.1439 + 26.5991i 1.14096 + 1.00679i
\(699\) 7.56077 + 14.8883i 0.285974 + 0.563127i
\(700\) 17.0210 + 19.2703i 0.643334 + 0.728351i
\(701\) 28.0365 1.05892 0.529462 0.848333i \(-0.322394\pi\)
0.529462 + 0.848333i \(0.322394\pi\)
\(702\) −25.0451 + 20.5309i −0.945265 + 0.774889i
\(703\) 1.68707 0.974031i 0.0636291 0.0367363i
\(704\) −30.2421 24.1008i −1.13979 0.908332i
\(705\) 0.363382 6.75977i 0.0136857 0.254588i
\(706\) −7.03174 + 34.7940i −0.264643 + 1.30949i
\(707\) −33.3682 + 22.7657i −1.25494 + 0.856194i
\(708\) 0.469209 + 6.59067i 0.0176340 + 0.247693i
\(709\) 17.7860 + 10.2687i 0.667966 + 0.385650i 0.795305 0.606209i \(-0.207310\pi\)
−0.127340 + 0.991859i \(0.540644\pi\)
\(710\) −0.940587 2.79900i −0.0352996 0.105045i
\(711\) 4.20686 39.0158i 0.157770 1.46321i
\(712\) −6.67170 13.8480i −0.250033 0.518976i
\(713\) 23.2221i 0.869673i
\(714\) 13.6843 + 11.5635i 0.512123 + 0.432752i
\(715\) 8.00081 0.299213
\(716\) −18.1493 23.9549i −0.678273 0.895237i
\(717\) −27.5116 17.9189i −1.02744 0.669193i
\(718\) −9.66739 28.7682i −0.360784 1.07362i
\(719\) 1.30734 2.26437i 0.0487554 0.0844469i −0.840618 0.541629i \(-0.817808\pi\)
0.889373 + 0.457182i \(0.151141\pi\)
\(720\) 4.46144 0.638482i 0.166268 0.0237948i
\(721\) −15.8244 + 32.8868i −0.589333 + 1.22477i
\(722\) −7.65304 1.54665i −0.284817 0.0575604i
\(723\) −1.81136 + 33.6957i −0.0673653 + 1.25316i
\(724\) −5.82711 + 0.730891i −0.216563 + 0.0271634i
\(725\) −2.35287 4.07528i −0.0873832 0.151352i
\(726\) 7.58546 29.3256i 0.281523 1.08838i
\(727\) 29.9784i 1.11184i −0.831237 0.555918i \(-0.812367\pi\)
0.831237 0.555918i \(-0.187633\pi\)
\(728\) −28.5687 16.4756i −1.05883 0.610625i
\(729\) −25.6104 8.55040i −0.948532 0.316681i
\(730\) −0.313288 + 0.355039i −0.0115953 + 0.0131406i
\(731\) 1.78884 1.03279i 0.0661627 0.0381991i
\(732\) 27.9348 18.8935i 1.03250 0.698323i
\(733\) −31.4773 18.1734i −1.16264 0.671250i −0.210705 0.977550i \(-0.567576\pi\)
−0.951935 + 0.306299i \(0.900909\pi\)
\(734\) 4.23748 20.9676i 0.156408 0.773929i
\(735\) −3.70572 + 2.64631i −0.136687 + 0.0976105i
\(736\) 22.1650 + 34.2972i 0.817012 + 1.26421i
\(737\) −32.2911 18.6433i −1.18946 0.686733i
\(738\) −4.97957 + 15.7171i −0.183300 + 0.578554i
\(739\) −15.0194 26.0143i −0.552497 0.956952i −0.998094 0.0617187i \(-0.980342\pi\)
0.445597 0.895234i \(-0.352991\pi\)
\(740\) 0.240691 + 0.317682i 0.00884796 + 0.0116782i
\(741\) −12.6892 24.9869i −0.466148 0.917917i
\(742\) 1.30435 10.4404i 0.0478842 0.383278i
\(743\) −22.3057 −0.818315 −0.409158 0.912464i \(-0.634177\pi\)
−0.409158 + 0.912464i \(0.634177\pi\)
\(744\) 12.5273 + 9.56161i 0.459272 + 0.350546i
\(745\) 2.86708 + 4.96592i 0.105042 + 0.181937i
\(746\) −24.3574 + 8.18517i −0.891789 + 0.299680i
\(747\) −27.9099 + 12.3365i −1.02117 + 0.451368i
\(748\) 24.6286 + 10.3786i 0.900509 + 0.379478i
\(749\) −20.4971 + 42.5976i −0.748946 + 1.55648i
\(750\) −8.74013 + 2.42345i −0.319144 + 0.0884920i
\(751\) 3.14957 + 1.81840i 0.114929 + 0.0663545i 0.556363 0.830940i \(-0.312197\pi\)
−0.441433 + 0.897294i \(0.645530\pi\)
\(752\) −11.2650 + 40.0724i −0.410792 + 1.46129i
\(753\) 3.18932 4.89669i 0.116225 0.178445i
\(754\) 4.52585 + 3.99364i 0.164822 + 0.145440i
\(755\) 3.49245i 0.127103i
\(756\) −1.06613 27.4748i −0.0387747 0.999248i
\(757\) 4.37925i 0.159166i −0.996828 0.0795832i \(-0.974641\pi\)
0.996828 0.0795832i \(-0.0253589\pi\)
\(758\) −24.0938 + 27.3047i −0.875126 + 0.991750i
\(759\) −32.9860 + 50.6448i −1.19732 + 1.83829i
\(760\) −0.290802 + 3.88920i −0.0105485 + 0.141076i
\(761\) 8.55783 + 4.94087i 0.310221 + 0.179106i 0.647025 0.762468i \(-0.276013\pi\)
−0.336804 + 0.941575i \(0.609346\pi\)
\(762\) 3.34546 + 12.0653i 0.121193 + 0.437081i
\(763\) 6.36267 + 9.32589i 0.230344 + 0.337620i
\(764\) 24.8280 + 10.4626i 0.898244 + 0.378524i
\(765\) −2.84890 + 1.25924i −0.103002 + 0.0455279i
\(766\) −6.00760 17.8774i −0.217064 0.645938i
\(767\) 4.20292 + 7.27967i 0.151759 + 0.262854i
\(768\) −27.6281 2.16473i −0.996945 0.0781129i
\(769\) −8.64146 −0.311619 −0.155810 0.987787i \(-0.549799\pi\)
−0.155810 + 0.987787i \(0.549799\pi\)
\(770\) −4.09953 + 5.41637i −0.147737 + 0.195193i
\(771\) −8.13867 16.0263i −0.293107 0.577173i
\(772\) 12.8156 9.70972i 0.461245 0.349461i
\(773\) −4.09325 7.08972i −0.14