Properties

Label 273.2.cg.b.19.2
Level $273$
Weight $2$
Character 273.19
Analytic conductor $2.180$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cg (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 19.2
Character \(\chi\) \(=\) 273.19
Dual form 273.2.cg.b.115.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.14623 - 0.575080i) q^{2} +1.00000i q^{3} +(2.54352 + 1.46850i) q^{4} +(3.44337 - 0.922649i) q^{5} +(0.575080 - 2.14623i) q^{6} +(2.25660 + 1.38122i) q^{7} +(-1.47218 - 1.47218i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(-2.14623 - 0.575080i) q^{2} +1.00000i q^{3} +(2.54352 + 1.46850i) q^{4} +(3.44337 - 0.922649i) q^{5} +(0.575080 - 2.14623i) q^{6} +(2.25660 + 1.38122i) q^{7} +(-1.47218 - 1.47218i) q^{8} -1.00000 q^{9} -7.92086 q^{10} +(-2.44335 - 2.44335i) q^{11} +(-1.46850 + 2.54352i) q^{12} +(-0.668132 + 3.54311i) q^{13} +(-4.04887 - 4.26213i) q^{14} +(0.922649 + 3.44337i) q^{15} +(-0.624002 - 1.08080i) q^{16} +(1.26366 - 2.18873i) q^{17} +(2.14623 + 0.575080i) q^{18} +(3.15731 + 3.15731i) q^{19} +(10.1132 + 2.70983i) q^{20} +(-1.38122 + 2.25660i) q^{21} +(3.83886 + 6.64910i) q^{22} +(2.64388 - 1.52645i) q^{23} +(1.47218 - 1.47218i) q^{24} +(6.67542 - 3.85405i) q^{25} +(3.47153 - 7.22008i) q^{26} -1.00000i q^{27} +(3.71139 + 6.82698i) q^{28} +(-1.12965 + 1.95662i) q^{29} -7.92086i q^{30} +(-1.54238 + 5.75625i) q^{31} +(1.79541 + 6.70056i) q^{32} +(2.44335 - 2.44335i) q^{33} +(-3.97081 + 3.97081i) q^{34} +(9.04470 + 2.67399i) q^{35} +(-2.54352 - 1.46850i) q^{36} +(2.71503 - 10.1326i) q^{37} +(-4.96060 - 8.59202i) q^{38} +(-3.54311 - 0.668132i) q^{39} +(-6.42756 - 3.71095i) q^{40} +(-2.06529 + 0.553392i) q^{41} +(4.26213 - 4.04887i) q^{42} +(3.23658 - 1.86864i) q^{43} +(-2.62665 - 9.80278i) q^{44} +(-3.44337 + 0.922649i) q^{45} +(-6.55221 + 1.75566i) q^{46} +(1.75541 + 6.55128i) q^{47} +(1.08080 - 0.624002i) q^{48} +(3.18448 + 6.23370i) q^{49} +(-16.5433 + 4.43278i) q^{50} +(2.18873 + 1.26366i) q^{51} +(-6.90247 + 8.03082i) q^{52} +(-2.54393 - 4.40622i) q^{53} +(-0.575080 + 2.14623i) q^{54} +(-10.6677 - 6.15901i) q^{55} +(-1.28872 - 5.35551i) q^{56} +(-3.15731 + 3.15731i) q^{57} +(3.54971 - 3.54971i) q^{58} +(2.20064 + 8.21290i) q^{59} +(-2.70983 + 10.1132i) q^{60} -13.0938i q^{61} +(6.62060 - 11.4672i) q^{62} +(-2.25660 - 1.38122i) q^{63} -12.9174i q^{64} +(0.968415 + 12.8167i) q^{65} +(-6.64910 + 3.83886i) q^{66} +(-6.52131 + 6.52131i) q^{67} +(6.42832 - 3.71139i) q^{68} +(1.52645 + 2.64388i) q^{69} +(-17.8742 - 10.9404i) q^{70} +(-12.8101 - 3.43246i) q^{71} +(1.47218 + 1.47218i) q^{72} +(4.73040 + 1.26751i) q^{73} +(-11.6541 + 20.1856i) q^{74} +(3.85405 + 6.67542i) q^{75} +(3.39417 + 12.6672i) q^{76} +(-2.13887 - 8.88845i) q^{77} +(7.22008 + 3.47153i) q^{78} +(-4.45795 + 7.72140i) q^{79} +(-3.14587 - 3.14587i) q^{80} +1.00000 q^{81} +4.75082 q^{82} +(0.573646 + 0.573646i) q^{83} +(-6.82698 + 3.71139i) q^{84} +(2.33184 - 8.70254i) q^{85} +(-8.02106 + 2.14924i) q^{86} +(-1.95662 - 1.12965i) q^{87} +7.19408i q^{88} +(-8.03851 - 2.15391i) q^{89} +7.92086 q^{90} +(-6.40150 + 7.07254i) q^{91} +8.96637 q^{92} +(-5.75625 - 1.54238i) q^{93} -15.0700i q^{94} +(13.7849 + 7.95872i) q^{95} +(-6.70056 + 1.79541i) q^{96} +(4.06679 - 15.1775i) q^{97} +(-3.24975 - 15.2103i) q^{98} +(2.44335 + 2.44335i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 8q^{7} - 40q^{9} + O(q^{10}) \) \( 40q - 8q^{7} - 40q^{9} + 4q^{11} - 24q^{12} - 18q^{14} + 32q^{16} + 4q^{17} + 14q^{19} + 14q^{20} + 2q^{21} + 4q^{22} + 12q^{23} + 24q^{25} - 32q^{26} + 16q^{28} + 8q^{29} + 14q^{31} - 26q^{32} - 4q^{33} - 24q^{34} + 26q^{35} + 36q^{37} - 8q^{38} + 18q^{39} - 30q^{40} - 2q^{41} - 66q^{43} - 32q^{44} - 26q^{46} - 4q^{47} + 24q^{48} - 14q^{49} - 20q^{50} + 2q^{52} - 8q^{53} - 42q^{55} + 46q^{56} - 14q^{57} + 24q^{58} + 14q^{59} + 2q^{60} + 24q^{62} + 8q^{63} + 28q^{65} - 18q^{66} - 44q^{67} - 18q^{68} + 4q^{69} - 4q^{70} - 6q^{71} + 14q^{73} - 20q^{74} + 24q^{75} - 64q^{76} + 24q^{77} + 8q^{78} + 20q^{80} + 40q^{81} + 48q^{82} - 12q^{83} + 22q^{84} + 2q^{85} - 60q^{86} + 18q^{87} - 2q^{89} - 14q^{91} + 236q^{92} - 8q^{93} + 24q^{95} + 16q^{96} - 62q^{97} - 88q^{98} - 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.14623 0.575080i −1.51761 0.406643i −0.598657 0.801006i \(-0.704299\pi\)
−0.918955 + 0.394363i \(0.870965\pi\)
\(3\) 1.00000i 0.577350i
\(4\) 2.54352 + 1.46850i 1.27176 + 0.734252i
\(5\) 3.44337 0.922649i 1.53992 0.412621i 0.613683 0.789553i \(-0.289687\pi\)
0.926241 + 0.376931i \(0.123021\pi\)
\(6\) 0.575080 2.14623i 0.234775 0.876194i
\(7\) 2.25660 + 1.38122i 0.852915 + 0.522051i
\(8\) −1.47218 1.47218i −0.520493 0.520493i
\(9\) −1.00000 −0.333333
\(10\) −7.92086 −2.50480
\(11\) −2.44335 2.44335i −0.736697 0.736697i 0.235240 0.971937i \(-0.424412\pi\)
−0.971937 + 0.235240i \(0.924412\pi\)
\(12\) −1.46850 + 2.54352i −0.423920 + 0.734252i
\(13\) −0.668132 + 3.54311i −0.185307 + 0.982681i
\(14\) −4.04887 4.26213i −1.08210 1.13910i
\(15\) 0.922649 + 3.44337i 0.238227 + 0.889075i
\(16\) −0.624002 1.08080i −0.156000 0.270201i
\(17\) 1.26366 2.18873i 0.306484 0.530845i −0.671107 0.741361i \(-0.734181\pi\)
0.977591 + 0.210515i \(0.0675142\pi\)
\(18\) 2.14623 + 0.575080i 0.505871 + 0.135548i
\(19\) 3.15731 + 3.15731i 0.724337 + 0.724337i 0.969486 0.245148i \(-0.0788367\pi\)
−0.245148 + 0.969486i \(0.578837\pi\)
\(20\) 10.1132 + 2.70983i 2.26138 + 0.605936i
\(21\) −1.38122 + 2.25660i −0.301406 + 0.492430i
\(22\) 3.83886 + 6.64910i 0.818447 + 1.41759i
\(23\) 2.64388 1.52645i 0.551288 0.318286i −0.198353 0.980131i \(-0.563559\pi\)
0.749641 + 0.661844i \(0.230226\pi\)
\(24\) 1.47218 1.47218i 0.300507 0.300507i
\(25\) 6.67542 3.85405i 1.33508 0.770811i
\(26\) 3.47153 7.22008i 0.680823 1.41597i
\(27\) 1.00000i 0.192450i
\(28\) 3.71139 + 6.82698i 0.701387 + 1.29018i
\(29\) −1.12965 + 1.95662i −0.209771 + 0.363335i −0.951642 0.307208i \(-0.900605\pi\)
0.741871 + 0.670543i \(0.233939\pi\)
\(30\) 7.92086i 1.44614i
\(31\) −1.54238 + 5.75625i −0.277020 + 1.03385i 0.677456 + 0.735564i \(0.263083\pi\)
−0.954476 + 0.298289i \(0.903584\pi\)
\(32\) 1.79541 + 6.70056i 0.317387 + 1.18450i
\(33\) 2.44335 2.44335i 0.425332 0.425332i
\(34\) −3.97081 + 3.97081i −0.680988 + 0.680988i
\(35\) 9.04470 + 2.67399i 1.52883 + 0.451987i
\(36\) −2.54352 1.46850i −0.423920 0.244751i
\(37\) 2.71503 10.1326i 0.446348 1.66579i −0.266003 0.963972i \(-0.585703\pi\)
0.712352 0.701823i \(-0.247630\pi\)
\(38\) −4.96060 8.59202i −0.804716 1.39381i
\(39\) −3.54311 0.668132i −0.567351 0.106987i
\(40\) −6.42756 3.71095i −1.01629 0.586753i
\(41\) −2.06529 + 0.553392i −0.322544 + 0.0864254i −0.416458 0.909155i \(-0.636729\pi\)
0.0939142 + 0.995580i \(0.470062\pi\)
\(42\) 4.26213 4.04887i 0.657661 0.624754i
\(43\) 3.23658 1.86864i 0.493574 0.284965i −0.232482 0.972601i \(-0.574685\pi\)
0.726056 + 0.687635i \(0.241351\pi\)
\(44\) −2.62665 9.80278i −0.395982 1.47782i
\(45\) −3.44337 + 0.922649i −0.513308 + 0.137540i
\(46\) −6.55221 + 1.75566i −0.966070 + 0.258858i
\(47\) 1.75541 + 6.55128i 0.256053 + 0.955603i 0.967502 + 0.252865i \(0.0813728\pi\)
−0.711449 + 0.702738i \(0.751961\pi\)
\(48\) 1.08080 0.624002i 0.156000 0.0900669i
\(49\) 3.18448 + 6.23370i 0.454926 + 0.890529i
\(50\) −16.5433 + 4.43278i −2.33958 + 0.626889i
\(51\) 2.18873 + 1.26366i 0.306484 + 0.176948i
\(52\) −6.90247 + 8.03082i −0.957201 + 1.11367i
\(53\) −2.54393 4.40622i −0.349436 0.605241i 0.636713 0.771101i \(-0.280294\pi\)
−0.986149 + 0.165860i \(0.946960\pi\)
\(54\) −0.575080 + 2.14623i −0.0782584 + 0.292065i
\(55\) −10.6677 6.15901i −1.43843 0.830480i
\(56\) −1.28872 5.35551i −0.172212 0.715660i
\(57\) −3.15731 + 3.15731i −0.418196 + 0.418196i
\(58\) 3.54971 3.54971i 0.466099 0.466099i
\(59\) 2.20064 + 8.21290i 0.286499 + 1.06923i 0.947737 + 0.319052i \(0.103365\pi\)
−0.661238 + 0.750176i \(0.729969\pi\)
\(60\) −2.70983 + 10.1132i −0.349837 + 1.30561i
\(61\) 13.0938i 1.67648i −0.545299 0.838242i \(-0.683584\pi\)
0.545299 0.838242i \(-0.316416\pi\)
\(62\) 6.62060 11.4672i 0.840818 1.45634i
\(63\) −2.25660 1.38122i −0.284305 0.174017i
\(64\) 12.9174i 1.61468i
\(65\) 0.968415 + 12.8167i 0.120117 + 1.58971i
\(66\) −6.64910 + 3.83886i −0.818447 + 0.472531i
\(67\) −6.52131 + 6.52131i −0.796704 + 0.796704i −0.982574 0.185870i \(-0.940490\pi\)
0.185870 + 0.982574i \(0.440490\pi\)
\(68\) 6.42832 3.71139i 0.779548 0.450072i
\(69\) 1.52645 + 2.64388i 0.183763 + 0.318286i
\(70\) −17.8742 10.9404i −2.13638 1.30763i
\(71\) −12.8101 3.43246i −1.52028 0.407358i −0.600446 0.799665i \(-0.705010\pi\)
−0.919834 + 0.392307i \(0.871677\pi\)
\(72\) 1.47218 + 1.47218i 0.173498 + 0.173498i
\(73\) 4.73040 + 1.26751i 0.553652 + 0.148351i 0.524788 0.851233i \(-0.324145\pi\)
0.0288635 + 0.999583i \(0.490811\pi\)
\(74\) −11.6541 + 20.1856i −1.35477 + 2.34653i
\(75\) 3.85405 + 6.67542i 0.445028 + 0.770811i
\(76\) 3.39417 + 12.6672i 0.389338 + 1.45303i
\(77\) −2.13887 8.88845i −0.243746 1.01293i
\(78\) 7.22008 + 3.47153i 0.817513 + 0.393074i
\(79\) −4.45795 + 7.72140i −0.501559 + 0.868725i 0.498440 + 0.866924i \(0.333907\pi\)
−0.999998 + 0.00180087i \(0.999427\pi\)
\(80\) −3.14587 3.14587i −0.351719 0.351719i
\(81\) 1.00000 0.111111
\(82\) 4.75082 0.524641
\(83\) 0.573646 + 0.573646i 0.0629659 + 0.0629659i 0.737889 0.674923i \(-0.235823\pi\)
−0.674923 + 0.737889i \(0.735823\pi\)
\(84\) −6.82698 + 3.71139i −0.744884 + 0.404946i
\(85\) 2.33184 8.70254i 0.252923 0.943923i
\(86\) −8.02106 + 2.14924i −0.864933 + 0.231758i
\(87\) −1.95662 1.12965i −0.209771 0.121112i
\(88\) 7.19408i 0.766891i
\(89\) −8.03851 2.15391i −0.852081 0.228314i −0.193757 0.981050i \(-0.562067\pi\)
−0.658323 + 0.752735i \(0.728734\pi\)
\(90\) 7.92086 0.834932
\(91\) −6.40150 + 7.07254i −0.671060 + 0.741403i
\(92\) 8.96637 0.934809
\(93\) −5.75625 1.54238i −0.596895 0.159938i
\(94\) 15.0700i 1.55436i
\(95\) 13.7849 + 7.95872i 1.41430 + 0.816547i
\(96\) −6.70056 + 1.79541i −0.683873 + 0.183243i
\(97\) 4.06679 15.1775i 0.412920 1.54104i −0.376045 0.926602i \(-0.622716\pi\)
0.788965 0.614438i \(-0.210617\pi\)
\(98\) −3.24975 15.2103i −0.328274 1.53647i
\(99\) 2.44335 + 2.44335i 0.245566 + 0.245566i
\(100\) 22.6388 2.26388
\(101\) 2.94757 0.293294 0.146647 0.989189i \(-0.453152\pi\)
0.146647 + 0.989189i \(0.453152\pi\)
\(102\) −3.97081 3.97081i −0.393168 0.393168i
\(103\) 7.76476 13.4490i 0.765085 1.32517i −0.175117 0.984548i \(-0.556030\pi\)
0.940202 0.340618i \(-0.110636\pi\)
\(104\) 6.19968 4.23247i 0.607929 0.415028i
\(105\) −2.67399 + 9.04470i −0.260955 + 0.882672i
\(106\) 2.92593 + 10.9197i 0.284191 + 1.06062i
\(107\) 2.00547 + 3.47358i 0.193877 + 0.335804i 0.946532 0.322611i \(-0.104561\pi\)
−0.752655 + 0.658415i \(0.771227\pi\)
\(108\) 1.46850 2.54352i 0.141307 0.244751i
\(109\) 3.62714 + 0.971889i 0.347417 + 0.0930901i 0.428308 0.903633i \(-0.359110\pi\)
−0.0808909 + 0.996723i \(0.525777\pi\)
\(110\) 19.3534 + 19.3534i 1.84528 + 1.84528i
\(111\) 10.1326 + 2.71503i 0.961747 + 0.257699i
\(112\) 0.0846998 3.30082i 0.00800338 0.311898i
\(113\) −4.05082 7.01622i −0.381069 0.660031i 0.610146 0.792289i \(-0.291111\pi\)
−0.991215 + 0.132258i \(0.957777\pi\)
\(114\) 8.59202 4.96060i 0.804716 0.464603i
\(115\) 7.69551 7.69551i 0.717610 0.717610i
\(116\) −5.74660 + 3.31780i −0.533558 + 0.308050i
\(117\) 0.668132 3.54311i 0.0617688 0.327560i
\(118\) 18.8923i 1.73918i
\(119\) 5.87470 3.19370i 0.538533 0.292766i
\(120\) 3.71095 6.42756i 0.338762 0.586753i
\(121\) 0.939896i 0.0854451i
\(122\) −7.52995 + 28.1022i −0.681730 + 2.54425i
\(123\) −0.553392 2.06529i −0.0498977 0.186221i
\(124\) −12.3762 + 12.3762i −1.11141 + 1.11141i
\(125\) 6.82639 6.82639i 0.610571 0.610571i
\(126\) 4.04887 + 4.26213i 0.360702 + 0.379701i
\(127\) −9.30669 5.37322i −0.825835 0.476796i 0.0265893 0.999646i \(-0.491535\pi\)
−0.852425 + 0.522850i \(0.824869\pi\)
\(128\) −3.83773 + 14.3226i −0.339210 + 1.26595i
\(129\) 1.86864 + 3.23658i 0.164525 + 0.284965i
\(130\) 5.29218 28.0644i 0.464155 2.46141i
\(131\) −14.4464 8.34065i −1.26219 0.728726i −0.288692 0.957422i \(-0.593220\pi\)
−0.973498 + 0.228696i \(0.926554\pi\)
\(132\) 9.80278 2.62665i 0.853222 0.228620i
\(133\) 2.76386 + 11.4857i 0.239657 + 0.995938i
\(134\) 17.7465 10.2459i 1.53306 0.885114i
\(135\) −0.922649 3.44337i −0.0794090 0.296358i
\(136\) −5.08254 + 1.36186i −0.435824 + 0.116779i
\(137\) −13.0012 + 3.48367i −1.11077 + 0.297630i −0.767143 0.641476i \(-0.778322\pi\)
−0.343627 + 0.939106i \(0.611656\pi\)
\(138\) −1.75566 6.55221i −0.149452 0.557761i
\(139\) −13.5614 + 7.82969i −1.15026 + 0.664106i −0.948952 0.315421i \(-0.897854\pi\)
−0.201313 + 0.979527i \(0.564521\pi\)
\(140\) 19.0786 + 20.0835i 1.61244 + 1.69737i
\(141\) −6.55128 + 1.75541i −0.551718 + 0.147832i
\(142\) 25.5195 + 14.7337i 2.14155 + 1.23642i
\(143\) 10.2895 7.02456i 0.860453 0.587423i
\(144\) 0.624002 + 1.08080i 0.0520001 + 0.0900669i
\(145\) −2.08455 + 7.77964i −0.173112 + 0.646064i
\(146\) −9.42360 5.44072i −0.779903 0.450277i
\(147\) −6.23370 + 3.18448i −0.514147 + 0.262652i
\(148\) 21.7856 21.7856i 1.79076 1.79076i
\(149\) 6.27597 6.27597i 0.514148 0.514148i −0.401647 0.915795i \(-0.631562\pi\)
0.915795 + 0.401647i \(0.131562\pi\)
\(150\) −4.43278 16.5433i −0.361935 1.35076i
\(151\) −4.29176 + 16.0171i −0.349259 + 1.30345i 0.538299 + 0.842754i \(0.319067\pi\)
−0.887558 + 0.460697i \(0.847600\pi\)
\(152\) 9.29624i 0.754025i
\(153\) −1.26366 + 2.18873i −0.102161 + 0.176948i
\(154\) −0.521074 + 20.3066i −0.0419893 + 1.63636i
\(155\) 21.2440i 1.70636i
\(156\) −8.03082 6.90247i −0.642980 0.552640i
\(157\) −14.4182 + 8.32436i −1.15070 + 0.664356i −0.949058 0.315103i \(-0.897961\pi\)
−0.201642 + 0.979459i \(0.564628\pi\)
\(158\) 14.0082 14.0082i 1.11443 1.11443i
\(159\) 4.40622 2.54393i 0.349436 0.201747i
\(160\) 12.3645 + 21.4160i 0.977502 + 1.69308i
\(161\) 8.07454 + 0.207195i 0.636363 + 0.0163292i
\(162\) −2.14623 0.575080i −0.168624 0.0451825i
\(163\) −1.81122 1.81122i −0.141866 0.141866i 0.632607 0.774473i \(-0.281985\pi\)
−0.774473 + 0.632607i \(0.781985\pi\)
\(164\) −6.06577 1.62532i −0.473657 0.126916i
\(165\) 6.15901 10.6677i 0.479478 0.830480i
\(166\) −0.901283 1.56107i −0.0699531 0.121162i
\(167\) −0.167384 0.624684i −0.0129525 0.0483395i 0.959147 0.282908i \(-0.0912990\pi\)
−0.972100 + 0.234568i \(0.924632\pi\)
\(168\) 5.35551 1.28872i 0.413186 0.0994268i
\(169\) −12.1072 4.73453i −0.931323 0.364194i
\(170\) −10.0093 + 17.3366i −0.767679 + 1.32966i
\(171\) −3.15731 3.15731i −0.241446 0.241446i
\(172\) 10.9764 0.836945
\(173\) −0.904451 −0.0687641 −0.0343821 0.999409i \(-0.510946\pi\)
−0.0343821 + 0.999409i \(0.510946\pi\)
\(174\) 3.54971 + 3.54971i 0.269102 + 0.269102i
\(175\) 20.3870 + 0.523136i 1.54111 + 0.0395454i
\(176\) −1.11612 + 4.16543i −0.0841310 + 0.313981i
\(177\) −8.21290 + 2.20064i −0.617319 + 0.165410i
\(178\) 16.0138 + 9.24557i 1.20029 + 0.692985i
\(179\) 21.2755i 1.59021i −0.606474 0.795103i \(-0.707416\pi\)
0.606474 0.795103i \(-0.292584\pi\)
\(180\) −10.1132 2.70983i −0.753795 0.201979i
\(181\) −19.9161 −1.48035 −0.740176 0.672413i \(-0.765258\pi\)
−0.740176 + 0.672413i \(0.765258\pi\)
\(182\) 17.8063 11.4979i 1.31989 0.852281i
\(183\) 13.0938 0.967918
\(184\) −6.13946 1.64506i −0.452607 0.121276i
\(185\) 37.3955i 2.74937i
\(186\) 11.4672 + 6.62060i 0.840818 + 0.485446i
\(187\) −8.43540 + 2.26026i −0.616858 + 0.165287i
\(188\) −5.15566 + 19.2412i −0.376015 + 1.40331i
\(189\) 1.38122 2.25660i 0.100469 0.164143i
\(190\) −25.0086 25.0086i −1.81432 1.81432i
\(191\) −9.12189 −0.660037 −0.330018 0.943974i \(-0.607055\pi\)
−0.330018 + 0.943974i \(0.607055\pi\)
\(192\) 12.9174 0.932234
\(193\) 11.2754 + 11.2754i 0.811619 + 0.811619i 0.984877 0.173257i \(-0.0554292\pi\)
−0.173257 + 0.984877i \(0.555429\pi\)
\(194\) −17.4565 + 30.2356i −1.25331 + 2.17079i
\(195\) −12.8167 + 0.968415i −0.917822 + 0.0693497i
\(196\) −1.05441 + 20.5320i −0.0753147 + 1.46657i
\(197\) 6.25761 + 23.3537i 0.445836 + 1.66388i 0.713719 + 0.700432i \(0.247009\pi\)
−0.267883 + 0.963451i \(0.586324\pi\)
\(198\) −3.83886 6.64910i −0.272816 0.472531i
\(199\) 5.79667 10.0401i 0.410915 0.711726i −0.584075 0.811700i \(-0.698543\pi\)
0.994990 + 0.0999741i \(0.0318760\pi\)
\(200\) −15.5012 4.15354i −1.09610 0.293700i
\(201\) −6.52131 6.52131i −0.459978 0.459978i
\(202\) −6.32615 1.69509i −0.445106 0.119266i
\(203\) −5.25169 + 2.85501i −0.368596 + 0.200382i
\(204\) 3.71139 + 6.42832i 0.259849 + 0.450072i
\(205\) −6.60097 + 3.81107i −0.461032 + 0.266177i
\(206\) −24.3992 + 24.3992i −1.69997 + 1.69997i
\(207\) −2.64388 + 1.52645i −0.183763 + 0.106095i
\(208\) 4.24631 1.48879i 0.294429 0.103229i
\(209\) 15.4288i 1.06723i
\(210\) 10.9404 17.8742i 0.754961 1.23344i
\(211\) 0.178987 0.310015i 0.0123220 0.0213423i −0.859799 0.510633i \(-0.829411\pi\)
0.872121 + 0.489291i \(0.162744\pi\)
\(212\) 14.9431i 1.02630i
\(213\) 3.43246 12.8101i 0.235188 0.877735i
\(214\) −2.30662 8.60841i −0.157677 0.588459i
\(215\) 9.42067 9.42067i 0.642484 0.642484i
\(216\) −1.47218 + 1.47218i −0.100169 + 0.100169i
\(217\) −11.4312 + 10.8592i −0.775998 + 0.737169i
\(218\) −7.22575 4.17179i −0.489390 0.282549i
\(219\) −1.26751 + 4.73040i −0.0856502 + 0.319651i
\(220\) −18.0890 31.3312i −1.21956 2.11235i
\(221\) 6.91061 + 5.93966i 0.464858 + 0.399545i
\(222\) −20.1856 11.6541i −1.35477 0.782175i
\(223\) 5.47574 1.46722i 0.366683 0.0982523i −0.0707726 0.997492i \(-0.522546\pi\)
0.437455 + 0.899240i \(0.355880\pi\)
\(224\) −5.20340 + 17.6003i −0.347667 + 1.17597i
\(225\) −6.67542 + 3.85405i −0.445028 + 0.256937i
\(226\) 4.65909 + 17.3880i 0.309918 + 1.15663i
\(227\) 10.3200 2.76523i 0.684961 0.183535i 0.100476 0.994939i \(-0.467963\pi\)
0.584485 + 0.811405i \(0.301297\pi\)
\(228\) −12.6672 + 3.39417i −0.838907 + 0.224785i
\(229\) −7.29728 27.2338i −0.482218 1.79966i −0.592275 0.805736i \(-0.701770\pi\)
0.110058 0.993925i \(-0.464896\pi\)
\(230\) −20.9418 + 12.0908i −1.38086 + 0.797242i
\(231\) 8.88845 2.13887i 0.584817 0.140727i
\(232\) 4.54354 1.21744i 0.298298 0.0799286i
\(233\) 1.17324 + 0.677369i 0.0768614 + 0.0443759i 0.537938 0.842984i \(-0.319203\pi\)
−0.461077 + 0.887360i \(0.652537\pi\)
\(234\) −3.47153 + 7.22008i −0.226941 + 0.471991i
\(235\) 12.0891 + 20.9389i 0.788604 + 1.36590i
\(236\) −6.46330 + 24.1213i −0.420725 + 1.57017i
\(237\) −7.72140 4.45795i −0.501559 0.289575i
\(238\) −14.4451 + 3.47598i −0.936334 + 0.225314i
\(239\) 7.36460 7.36460i 0.476376 0.476376i −0.427594 0.903971i \(-0.640639\pi\)
0.903971 + 0.427594i \(0.140639\pi\)
\(240\) 3.14587 3.14587i 0.203065 0.203065i
\(241\) 1.34404 + 5.01601i 0.0865770 + 0.323110i 0.995608 0.0936184i \(-0.0298434\pi\)
−0.909031 + 0.416728i \(0.863177\pi\)
\(242\) 0.540515 2.01723i 0.0347456 0.129672i
\(243\) 1.00000i 0.0641500i
\(244\) 19.2282 33.3043i 1.23096 2.13209i
\(245\) 16.7169 + 18.5268i 1.06800 + 1.18363i
\(246\) 4.75082i 0.302901i
\(247\) −13.2962 + 9.07719i −0.846017 + 0.577568i
\(248\) 10.7449 6.20355i 0.682300 0.393926i
\(249\) −0.573646 + 0.573646i −0.0363534 + 0.0363534i
\(250\) −18.5767 + 10.7253i −1.17489 + 0.678326i
\(251\) −4.58523 7.94186i −0.289417 0.501285i 0.684253 0.729244i \(-0.260128\pi\)
−0.973671 + 0.227959i \(0.926795\pi\)
\(252\) −3.71139 6.82698i −0.233796 0.430059i
\(253\) −10.1896 2.73029i −0.640613 0.171652i
\(254\) 16.8842 + 16.8842i 1.05941 + 1.05941i
\(255\) 8.70254 + 2.33184i 0.544974 + 0.146025i
\(256\) 3.55585 6.15891i 0.222241 0.384932i
\(257\) 1.89888 + 3.28895i 0.118449 + 0.205159i 0.919153 0.393901i \(-0.128875\pi\)
−0.800704 + 0.599060i \(0.795541\pi\)
\(258\) −2.14924 8.02106i −0.133806 0.499369i
\(259\) 20.1221 19.1153i 1.25033 1.18776i
\(260\) −16.3582 + 34.0217i −1.01449 + 2.10993i
\(261\) 1.12965 1.95662i 0.0699238 0.121112i
\(262\) 26.2088 + 26.2088i 1.61918 + 1.61918i
\(263\) −21.6207 −1.33319 −0.666594 0.745421i \(-0.732249\pi\)
−0.666594 + 0.745421i \(0.732249\pi\)
\(264\) −7.19408 −0.442765
\(265\) −12.8251 12.8251i −0.787840 0.787840i
\(266\) 0.673335 26.2404i 0.0412848 1.60890i
\(267\) 2.15391 8.03851i 0.131817 0.491949i
\(268\) −26.1637 + 7.01053i −1.59820 + 0.428236i
\(269\) −14.7786 8.53242i −0.901066 0.520231i −0.0235200 0.999723i \(-0.507487\pi\)
−0.877546 + 0.479493i \(0.840821\pi\)
\(270\) 7.92086i 0.482048i
\(271\) −9.29983 2.49188i −0.564925 0.151371i −0.0349568 0.999389i \(-0.511129\pi\)
−0.529968 + 0.848018i \(0.677796\pi\)
\(272\) −3.15412 −0.191246
\(273\) −7.07254 6.40150i −0.428049 0.387436i
\(274\) 29.9070 1.80675
\(275\) −25.7272 6.89357i −1.55141 0.415698i
\(276\) 8.96637i 0.539712i
\(277\) −6.00440 3.46664i −0.360769 0.208290i 0.308649 0.951176i \(-0.400123\pi\)
−0.669418 + 0.742886i \(0.733457\pi\)
\(278\) 33.6086 9.00539i 2.01571 0.540108i
\(279\) 1.54238 5.75625i 0.0923400 0.344618i
\(280\) −9.37880 17.2520i −0.560490 1.03100i
\(281\) 15.5652 + 15.5652i 0.928544 + 0.928544i 0.997612 0.0690682i \(-0.0220026\pi\)
−0.0690682 + 0.997612i \(0.522003\pi\)
\(282\) 15.0700 0.897408
\(283\) 24.1017 1.43270 0.716349 0.697742i \(-0.245812\pi\)
0.716349 + 0.697742i \(0.245812\pi\)
\(284\) −27.5422 27.5422i −1.63433 1.63433i
\(285\) −7.95872 + 13.7849i −0.471434 + 0.816547i
\(286\) −26.1233 + 9.15901i −1.54470 + 0.541583i
\(287\) −5.42488 1.60382i −0.320221 0.0946708i
\(288\) −1.79541 6.70056i −0.105796 0.394834i
\(289\) 5.30630 + 9.19079i 0.312135 + 0.540635i
\(290\) 8.94783 15.4981i 0.525435 0.910080i
\(291\) 15.1775 + 4.06679i 0.889720 + 0.238400i
\(292\) 10.1705 + 10.1705i 0.595186 + 0.595186i
\(293\) 12.3864 + 3.31893i 0.723622 + 0.193894i 0.601787 0.798656i \(-0.294455\pi\)
0.121835 + 0.992550i \(0.461122\pi\)
\(294\) 15.2103 3.24975i 0.887081 0.189529i
\(295\) 15.1553 + 26.2497i 0.882373 + 1.52831i
\(296\) −18.9140 + 10.9200i −1.09936 + 0.634713i
\(297\) −2.44335 + 2.44335i −0.141777 + 0.141777i
\(298\) −17.0788 + 9.86048i −0.989351 + 0.571202i
\(299\) 3.64190 + 10.3874i 0.210617 + 0.600721i
\(300\) 22.6388i 1.30705i
\(301\) 9.88467 + 0.253643i 0.569743 + 0.0146197i
\(302\) 18.4222 31.9082i 1.06008 1.83611i
\(303\) 2.94757i 0.169333i
\(304\) 1.44226 5.38260i 0.0827195 0.308713i
\(305\) −12.0809 45.0867i −0.691753 2.58166i
\(306\) 3.97081 3.97081i 0.226996 0.226996i
\(307\) 15.4570 15.4570i 0.882178 0.882178i −0.111577 0.993756i \(-0.535590\pi\)
0.993756 + 0.111577i \(0.0355903\pi\)
\(308\) 7.61246 25.7489i 0.433760 1.46718i
\(309\) 13.4490 + 7.76476i 0.765085 + 0.441722i
\(310\) 12.2170 45.5944i 0.693878 2.58959i
\(311\) 1.62070 + 2.80714i 0.0919017 + 0.159178i 0.908311 0.418295i \(-0.137372\pi\)
−0.816410 + 0.577473i \(0.804039\pi\)
\(312\) 4.23247 + 6.19968i 0.239616 + 0.350988i
\(313\) 24.9122 + 14.3831i 1.40812 + 0.812978i 0.995207 0.0977925i \(-0.0311781\pi\)
0.412913 + 0.910771i \(0.364511\pi\)
\(314\) 35.7319 9.57435i 2.01647 0.540312i
\(315\) −9.04470 2.67399i −0.509611 0.150662i
\(316\) −22.6778 + 13.0930i −1.27573 + 0.736541i
\(317\) −0.144647 0.539831i −0.00812420 0.0303199i 0.961745 0.273947i \(-0.0883293\pi\)
−0.969869 + 0.243627i \(0.921663\pi\)
\(318\) −10.9197 + 2.92593i −0.612347 + 0.164078i
\(319\) 7.54083 2.02056i 0.422206 0.113130i
\(320\) −11.9182 44.4795i −0.666250 2.48648i
\(321\) −3.47358 + 2.00547i −0.193877 + 0.111935i
\(322\) −17.2106 5.08819i −0.959112 0.283554i
\(323\) 10.9003 2.92073i 0.606509 0.162513i
\(324\) 2.54352 + 1.46850i 0.141307 + 0.0815835i
\(325\) 9.19526 + 26.2267i 0.510061 + 1.45480i
\(326\) 2.84570 + 4.92890i 0.157609 + 0.272986i
\(327\) −0.971889 + 3.62714i −0.0537456 + 0.200581i
\(328\) 3.85516 + 2.22578i 0.212866 + 0.122898i
\(329\) −5.08748 + 17.2082i −0.280482 + 0.948720i
\(330\) −19.3534 + 19.3534i −1.06537 + 1.06537i
\(331\) −0.504043 + 0.504043i −0.0277047 + 0.0277047i −0.720823 0.693119i \(-0.756236\pi\)
0.693119 + 0.720823i \(0.256236\pi\)
\(332\) 0.616681 + 2.30148i 0.0338448 + 0.126310i
\(333\) −2.71503 + 10.1326i −0.148783 + 0.555265i
\(334\) 1.43697i 0.0786277i
\(335\) −16.4384 + 28.4722i −0.898127 + 1.55560i
\(336\) 3.30082 + 0.0846998i 0.180074 + 0.00462076i
\(337\) 1.28970i 0.0702542i 0.999383 + 0.0351271i \(0.0111836\pi\)
−0.999383 + 0.0351271i \(0.988816\pi\)
\(338\) 23.2621 + 17.1240i 1.26529 + 0.931421i
\(339\) 7.01622 4.05082i 0.381069 0.220010i
\(340\) 18.7108 18.7108i 1.01474 1.01474i
\(341\) 17.8331 10.2959i 0.965716 0.557556i
\(342\) 4.96060 + 8.59202i 0.268239 + 0.464603i
\(343\) −1.42398 + 18.4654i −0.0768879 + 0.997040i
\(344\) −7.51579 2.01385i −0.405224 0.108580i
\(345\) 7.69551 + 7.69551i 0.414312 + 0.414312i
\(346\) 1.94116 + 0.520131i 0.104357 + 0.0279624i
\(347\) −7.23774 + 12.5361i −0.388542 + 0.672975i −0.992254 0.124228i \(-0.960355\pi\)
0.603711 + 0.797203i \(0.293688\pi\)
\(348\) −3.31780 5.74660i −0.177853 0.308050i
\(349\) 1.55296 + 5.79571i 0.0831278 + 0.310237i 0.994953 0.100341i \(-0.0319934\pi\)
−0.911825 + 0.410578i \(0.865327\pi\)
\(350\) −43.4543 12.8469i −2.32273 0.686698i
\(351\) 3.54311 + 0.668132i 0.189117 + 0.0356623i
\(352\) 11.9850 20.7586i 0.638802 1.10644i
\(353\) −12.4611 12.4611i −0.663240 0.663240i 0.292902 0.956142i \(-0.405379\pi\)
−0.956142 + 0.292902i \(0.905379\pi\)
\(354\) 18.8923 1.00411
\(355\) −47.2770 −2.50920
\(356\) −17.2831 17.2831i −0.916003 0.916003i
\(357\) 3.19370 + 5.87470i 0.169028 + 0.310922i
\(358\) −12.2351 + 45.6621i −0.646646 + 2.41332i
\(359\) −6.88215 + 1.84407i −0.363226 + 0.0973262i −0.435816 0.900036i \(-0.643540\pi\)
0.0725899 + 0.997362i \(0.476874\pi\)
\(360\) 6.42756 + 3.71095i 0.338762 + 0.195584i
\(361\) 0.937248i 0.0493288i
\(362\) 42.7445 + 11.4533i 2.24660 + 0.601974i
\(363\) −0.939896 −0.0493317
\(364\) −26.6684 + 8.58853i −1.39780 + 0.450161i
\(365\) 17.4580 0.913794
\(366\) −28.1022 7.52995i −1.46892 0.393597i
\(367\) 2.38011i 0.124241i −0.998069 0.0621203i \(-0.980214\pi\)
0.998069 0.0621203i \(-0.0197862\pi\)
\(368\) −3.29958 1.90501i −0.172002 0.0993056i
\(369\) 2.06529 0.553392i 0.107515 0.0288085i
\(370\) −21.5054 + 80.2592i −1.11801 + 4.17248i
\(371\) 0.345305 13.4568i 0.0179273 0.698642i
\(372\) −12.3762 12.3762i −0.641674 0.641674i
\(373\) 0.909346 0.0470841 0.0235421 0.999723i \(-0.492506\pi\)
0.0235421 + 0.999723i \(0.492506\pi\)
\(374\) 19.4041 1.00336
\(375\) 6.82639 + 6.82639i 0.352513 + 0.352513i
\(376\) 7.06037 12.2289i 0.364111 0.630658i
\(377\) −6.17775 5.30976i −0.318170 0.273467i
\(378\) −4.26213 + 4.04887i −0.219220 + 0.208251i
\(379\) −7.19570 26.8547i −0.369618 1.37943i −0.861051 0.508519i \(-0.830193\pi\)
0.491432 0.870916i \(-0.336474\pi\)
\(380\) 23.3748 + 40.4864i 1.19910 + 2.07691i
\(381\) 5.37322 9.30669i 0.275278 0.476796i
\(382\) 19.5776 + 5.24581i 1.00168 + 0.268399i
\(383\) 8.57505 + 8.57505i 0.438165 + 0.438165i 0.891394 0.453229i \(-0.149728\pi\)
−0.453229 + 0.891394i \(0.649728\pi\)
\(384\) −14.3226 3.83773i −0.730897 0.195843i
\(385\) −15.5658 28.6328i −0.793309 1.45926i
\(386\) −17.7153 30.6838i −0.901684 1.56176i
\(387\) −3.23658 + 1.86864i −0.164525 + 0.0949884i
\(388\) 32.6322 32.6322i 1.65665 1.65665i
\(389\) 25.6348 14.8003i 1.29974 0.750403i 0.319377 0.947628i \(-0.396526\pi\)
0.980358 + 0.197225i \(0.0631930\pi\)
\(390\) 28.0644 + 5.29218i 1.42110 + 0.267980i
\(391\) 7.71567i 0.390198i
\(392\) 4.48899 13.8652i 0.226728 0.700300i
\(393\) 8.34065 14.4464i 0.420730 0.728726i
\(394\) 53.7210i 2.70642i
\(395\) −8.22625 + 30.7008i −0.413908 + 1.54472i
\(396\) 2.62665 + 9.80278i 0.131994 + 0.492608i
\(397\) 2.67697 2.67697i 0.134353 0.134353i −0.636732 0.771085i \(-0.719714\pi\)
0.771085 + 0.636732i \(0.219714\pi\)
\(398\) −18.2148 + 18.2148i −0.913027 + 0.913027i
\(399\) −11.4857 + 2.76386i −0.575005 + 0.138366i
\(400\) −8.33094 4.80987i −0.416547 0.240494i
\(401\) −0.682164 + 2.54587i −0.0340656 + 0.127135i −0.980865 0.194691i \(-0.937630\pi\)
0.946799 + 0.321825i \(0.104296\pi\)
\(402\) 10.2459 + 17.7465i 0.511021 + 0.885114i
\(403\) −19.3645 9.31076i −0.964613 0.463802i
\(404\) 7.49721 + 4.32851i 0.373000 + 0.215352i
\(405\) 3.44337 0.922649i 0.171103 0.0458468i
\(406\) 12.9132 3.10735i 0.640870 0.154215i
\(407\) −31.3913 + 18.1238i −1.55601 + 0.898363i
\(408\) −1.36186 5.08254i −0.0674222 0.251623i
\(409\) −15.3494 + 4.11286i −0.758978 + 0.203368i −0.617497 0.786573i \(-0.711853\pi\)
−0.141481 + 0.989941i \(0.545187\pi\)
\(410\) 16.3589 4.38334i 0.807906 0.216478i
\(411\) −3.48367 13.0012i −0.171837 0.641303i
\(412\) 39.4997 22.8052i 1.94601 1.12353i
\(413\) −6.37783 + 21.5728i −0.313832 + 1.06153i
\(414\) 6.55221 1.75566i 0.322023 0.0862859i
\(415\) 2.50455 + 1.44600i 0.122944 + 0.0709816i
\(416\) −24.9404 + 1.88447i −1.22280 + 0.0923936i
\(417\) −7.82969 13.5614i −0.383422 0.664106i
\(418\) −8.87281 + 33.1138i −0.433983 + 1.61965i
\(419\) 34.6920 + 20.0294i 1.69481 + 0.978501i 0.950528 + 0.310640i \(0.100543\pi\)
0.744286 + 0.667861i \(0.232790\pi\)
\(420\) −20.0835 + 19.0786i −0.979976 + 0.930941i
\(421\) 5.73237 5.73237i 0.279379 0.279379i −0.553482 0.832861i \(-0.686701\pi\)
0.832861 + 0.553482i \(0.186701\pi\)
\(422\) −0.562430 + 0.562430i −0.0273787 + 0.0273787i
\(423\) −1.75541 6.55128i −0.0853510 0.318534i
\(424\) −2.74162 + 10.2319i −0.133145 + 0.496903i
\(425\) 19.4809i 0.944964i
\(426\) −14.7337 + 25.5195i −0.713849 + 1.23642i
\(427\) 18.0853 29.5474i 0.875209 1.42990i
\(428\) 11.7802i 0.569417i
\(429\) 7.02456 + 10.2895i 0.339149 + 0.496783i
\(430\) −25.6365 + 14.8013i −1.23630 + 0.713780i
\(431\) −6.52548 + 6.52548i −0.314321 + 0.314321i −0.846581 0.532260i \(-0.821343\pi\)
0.532260 + 0.846581i \(0.321343\pi\)
\(432\) −1.08080 + 0.624002i −0.0520001 + 0.0300223i
\(433\) 5.04205 + 8.73309i 0.242306 + 0.419686i 0.961371 0.275257i \(-0.0887630\pi\)
−0.719065 + 0.694943i \(0.755430\pi\)
\(434\) 30.7788 16.7324i 1.47743 0.803183i
\(435\) −7.77964 2.08455i −0.373005 0.0999465i
\(436\) 7.79849 + 7.79849i 0.373480 + 0.373480i
\(437\) 13.1670 + 3.52810i 0.629865 + 0.168772i
\(438\) 5.44072 9.42360i 0.259968 0.450277i
\(439\) 2.19526 + 3.80230i 0.104774 + 0.181474i 0.913646 0.406511i \(-0.133255\pi\)
−0.808872 + 0.587985i \(0.799921\pi\)
\(440\) 6.63761 + 24.7719i 0.316436 + 1.18095i
\(441\) −3.18448 6.23370i −0.151642 0.296843i
\(442\) −11.4160 16.7220i −0.543002 0.795385i
\(443\) 5.48205 9.49519i 0.260460 0.451130i −0.705904 0.708307i \(-0.749459\pi\)
0.966364 + 0.257177i \(0.0827924\pi\)
\(444\) 21.7856 + 21.7856i 1.03390 + 1.03390i
\(445\) −29.6669 −1.40635
\(446\) −12.5960 −0.596436
\(447\) 6.27597 + 6.27597i 0.296843 + 0.296843i
\(448\) 17.8417 29.1494i 0.842943 1.37718i
\(449\) −5.37942 + 20.0763i −0.253871 + 0.947459i 0.714844 + 0.699283i \(0.246497\pi\)
−0.968715 + 0.248175i \(0.920169\pi\)
\(450\) 16.5433 4.43278i 0.779861 0.208963i
\(451\) 6.39835 + 3.69409i 0.301286 + 0.173948i
\(452\) 23.7946i 1.11920i
\(453\) −16.0171 4.29176i −0.752548 0.201645i
\(454\) −23.7392 −1.11414
\(455\) −15.5173 + 30.2597i −0.727462 + 1.41860i
\(456\) 9.29624 0.435336
\(457\) −37.5976 10.0743i −1.75874 0.471254i −0.772286 0.635275i \(-0.780887\pi\)
−0.986457 + 0.164021i \(0.947553\pi\)
\(458\) 62.6465i 2.92728i
\(459\) −2.18873 1.26366i −0.102161 0.0589828i
\(460\) 30.8746 8.27282i 1.43953 0.385722i
\(461\) 3.90240 14.5639i 0.181753 0.678311i −0.813550 0.581496i \(-0.802468\pi\)
0.995302 0.0968151i \(-0.0308655\pi\)
\(462\) −20.3066 0.521074i −0.944751 0.0242425i
\(463\) 4.92292 + 4.92292i 0.228787 + 0.228787i 0.812186 0.583399i \(-0.198277\pi\)
−0.583399 + 0.812186i \(0.698277\pi\)
\(464\) 2.81962 0.130898
\(465\) −21.2440 −0.985167
\(466\) −2.12849 2.12849i −0.0986006 0.0986006i
\(467\) 8.08617 14.0057i 0.374183 0.648105i −0.616021 0.787730i \(-0.711256\pi\)
0.990204 + 0.139625i \(0.0445897\pi\)
\(468\) 6.90247 8.03082i 0.319067 0.371225i
\(469\) −23.7233 + 5.70865i −1.09544 + 0.263601i
\(470\) −13.9044 51.8918i −0.641361 2.39359i
\(471\) −8.32436 14.4182i −0.383566 0.664356i
\(472\) 8.85111 15.3306i 0.407405 0.705646i
\(473\) −12.4738 3.34236i −0.573548 0.153682i
\(474\) 14.0082 + 14.0082i 0.643418 + 0.643418i
\(475\) 33.2448 + 8.90793i 1.52538 + 0.408724i
\(476\) 19.6324 + 0.503772i 0.899849 + 0.0230903i
\(477\) 2.54393 + 4.40622i 0.116479 + 0.201747i
\(478\) −20.0413 + 11.5709i −0.916669 + 0.529239i
\(479\) −20.7958 + 20.7958i −0.950184 + 0.950184i −0.998817 0.0486324i \(-0.984514\pi\)
0.0486324 + 0.998817i \(0.484514\pi\)
\(480\) −21.4160 + 12.3645i −0.977502 + 0.564361i
\(481\) 34.0870 + 16.3896i 1.55423 + 0.747301i
\(482\) 11.5384i 0.525561i
\(483\) −0.207195 + 8.07454i −0.00942769 + 0.367404i
\(484\) −1.38024 + 2.39065i −0.0627382 + 0.108666i
\(485\) 56.0140i 2.54346i
\(486\) 0.575080 2.14623i 0.0260861 0.0973548i
\(487\) 4.64339 + 17.3294i 0.210412 + 0.785268i 0.987731 + 0.156162i \(0.0499122\pi\)
−0.777319 + 0.629106i \(0.783421\pi\)
\(488\) −19.2763 + 19.2763i −0.872598 + 0.872598i
\(489\) 1.81122 1.81122i 0.0819064 0.0819064i
\(490\) −25.2239 49.3763i −1.13950 2.23059i
\(491\) −1.73849 1.00372i −0.0784569 0.0452971i 0.460258 0.887785i \(-0.347757\pi\)
−0.538715 + 0.842488i \(0.681090\pi\)
\(492\) 1.62532 6.06577i 0.0732750 0.273466i
\(493\) 2.85501 + 4.94502i 0.128583 + 0.222712i
\(494\) 33.7568 11.8353i 1.51879 0.532497i
\(495\) 10.6677 + 6.15901i 0.479478 + 0.276827i
\(496\) 7.18382 1.92490i 0.322563 0.0864305i
\(497\) −24.1663 25.4392i −1.08401 1.14111i
\(498\) 1.56107 0.901283i 0.0699531 0.0403875i
\(499\) 4.41437 + 16.4747i 0.197615 + 0.737507i 0.991575 + 0.129537i \(0.0413492\pi\)
−0.793960 + 0.607970i \(0.791984\pi\)
\(500\) 27.3877 7.33850i 1.22481 0.328188i
\(501\) 0.624684 0.167384i 0.0279088 0.00747815i
\(502\) 5.27375 + 19.6819i 0.235379 + 0.878446i
\(503\) 13.6715 7.89323i 0.609581 0.351942i −0.163221 0.986590i \(-0.552188\pi\)
0.772801 + 0.634648i \(0.218855\pi\)
\(504\) 1.28872 + 5.35551i 0.0574041 + 0.238553i
\(505\) 10.1496 2.71957i 0.451650 0.121019i
\(506\) 20.2990 + 11.7196i 0.902401 + 0.521001i
\(507\) 4.73453 12.1072i 0.210268 0.537700i
\(508\) −15.7812 27.3338i −0.700177 1.21274i
\(509\) −4.05672 + 15.1399i −0.179811 + 0.671064i 0.815871 + 0.578234i \(0.196258\pi\)
−0.995682 + 0.0928301i \(0.970409\pi\)
\(510\) −17.3366 10.0093i −0.767679 0.443220i
\(511\) 8.92392 + 9.39397i 0.394771 + 0.415565i
\(512\) 9.79620 9.79620i 0.432935 0.432935i
\(513\) 3.15731 3.15731i 0.139399 0.139399i
\(514\) −2.18401 8.15084i −0.0963326 0.359518i
\(515\) 14.3283 53.4740i 0.631380 2.35634i
\(516\) 10.9764i 0.483210i
\(517\) 11.7180 20.2961i 0.515356 0.892624i
\(518\) −54.1794 + 29.4539i −2.38051 + 1.29413i
\(519\) 0.904451i 0.0397010i
\(520\) 17.4427 20.2941i 0.764915 0.889955i
\(521\) 14.0981 8.13957i 0.617651 0.356601i −0.158303 0.987391i \(-0.550602\pi\)
0.775954 + 0.630790i \(0.217269\pi\)
\(522\) −3.54971 + 3.54971i −0.155366 + 0.155366i
\(523\) −14.9531 + 8.63317i −0.653853 + 0.377502i −0.789931 0.613196i \(-0.789884\pi\)
0.136078 + 0.990698i \(0.456550\pi\)
\(524\) −24.4965 42.4293i −1.07014 1.85353i
\(525\) −0.523136 + 20.3870i −0.0228315 + 0.889763i
\(526\) 46.4029 + 12.4336i 2.02326 + 0.542132i
\(527\) 10.6498 + 10.6498i 0.463914 + 0.463914i
\(528\) −4.16543 1.11612i −0.181277 0.0485730i
\(529\) −6.83992 + 11.8471i −0.297388 + 0.515090i
\(530\) 20.1501 + 34.9011i 0.875266 + 1.51601i
\(531\) −2.20064 8.21290i −0.0954996 0.356410i
\(532\) −9.83688 + 33.2729i −0.426483 + 1.44256i
\(533\) −0.580842 7.68727i −0.0251591 0.332973i
\(534\) −9.24557 + 16.0138i −0.400095 + 0.692985i
\(535\) 10.1105 + 10.1105i 0.437115 + 0.437115i
\(536\) 19.2010 0.829358
\(537\) 21.2755 0.918106
\(538\) 26.8114 + 26.8114i 1.15592 + 1.15592i
\(539\) 7.45030 23.0119i 0.320907 0.991193i
\(540\) 2.70983 10.1132i 0.116612 0.435203i
\(541\) 5.38179 1.44205i 0.231381 0.0619984i −0.141265 0.989972i \(-0.545117\pi\)
0.372647 + 0.927973i \(0.378450\pi\)
\(542\) 18.5265 + 10.6963i 0.795782 + 0.459445i
\(543\) 19.9161i 0.854681i
\(544\) 16.9345 + 4.53759i 0.726061 + 0.194548i
\(545\) 13.3863 0.573407
\(546\) 11.4979 + 17.8063i 0.492065 + 0.762041i
\(547\) 1.45857 0.0623640 0.0311820 0.999514i \(-0.490073\pi\)
0.0311820 + 0.999514i \(0.490073\pi\)
\(548\) −38.1847 10.2316i −1.63117 0.437071i
\(549\) 13.0938i 0.558828i
\(550\) 51.2520 + 29.5903i 2.18539 + 1.26174i
\(551\) −9.74433 + 2.61098i −0.415122 + 0.111232i
\(552\) 1.64506 6.13946i 0.0700186 0.261313i
\(553\) −20.7247 + 11.2667i −0.881305 + 0.479109i
\(554\) 10.8932 + 10.8932i 0.462808 + 0.462808i
\(555\) 37.3955 1.58735
\(556\) −45.9917 −1.95048
\(557\) 25.3584 + 25.3584i 1.07447 + 1.07447i 0.996994 + 0.0774745i \(0.0246856\pi\)
0.0774745 + 0.996994i \(0.475314\pi\)
\(558\) −6.62060 + 11.4672i −0.280273 + 0.485446i
\(559\) 4.45833 + 12.7161i 0.188567 + 0.537832i
\(560\) −2.75385 11.4441i −0.116371 0.483602i
\(561\) −2.26026 8.43540i −0.0954282 0.356143i
\(562\) −24.4553 42.3578i −1.03158 1.78675i
\(563\) −10.2234 + 17.7074i −0.430865 + 0.746280i −0.996948 0.0780682i \(-0.975125\pi\)
0.566083 + 0.824348i \(0.308458\pi\)
\(564\) −19.2412 5.15566i −0.810199 0.217092i
\(565\) −20.4220 20.4220i −0.859160 0.859160i
\(566\) −51.7278 13.8604i −2.17428 0.582597i
\(567\) 2.25660 + 1.38122i 0.0947683 + 0.0580056i
\(568\) 13.8056 + 23.9119i 0.579268 + 1.00332i
\(569\) 2.54333 1.46839i 0.106622 0.0615583i −0.445741 0.895162i \(-0.647060\pi\)
0.552363 + 0.833604i \(0.313726\pi\)
\(570\) 25.0086 25.0086i 1.04750 1.04750i
\(571\) 20.2914 11.7152i 0.849168 0.490268i −0.0112018 0.999937i \(-0.503566\pi\)
0.860370 + 0.509670i \(0.170232\pi\)
\(572\) 36.4872 2.75693i 1.52561 0.115273i
\(573\) 9.12189i 0.381072i
\(574\) 10.7207 + 6.56191i 0.447474 + 0.273889i
\(575\) 11.7660 20.3793i 0.490677 0.849878i
\(576\) 12.9174i 0.538226i
\(577\) −1.49434 + 5.57694i −0.0622101 + 0.232171i −0.990030 0.140858i \(-0.955014\pi\)
0.927820 + 0.373029i \(0.121681\pi\)
\(578\) −6.10310 22.7771i −0.253855 0.947401i
\(579\) −11.2754 + 11.2754i −0.468589 + 0.468589i
\(580\) −16.7265 + 16.7265i −0.694531 + 0.694531i
\(581\) 0.502161 + 2.08682i 0.0208331 + 0.0865759i
\(582\) −30.2356 17.4565i −1.25331 0.723596i
\(583\) −4.55022 + 16.9816i −0.188451 + 0.703308i
\(584\) −5.09799 8.82998i −0.210956 0.365387i
\(585\) −0.968415 12.8167i −0.0400390 0.529905i
\(586\) −24.6754 14.2464i −1.01933 0.588512i
\(587\) 1.45889 0.390908i 0.0602147 0.0161345i −0.228586 0.973524i \(-0.573410\pi\)
0.288801 + 0.957389i \(0.406744\pi\)
\(588\) −20.5320 1.05441i −0.846725 0.0434830i
\(589\) −23.0441 + 13.3045i −0.949514 + 0.548202i
\(590\) −17.4310 65.0532i −0.717621 2.67820i
\(591\) −23.3537 + 6.25761i −0.960643 + 0.257404i
\(592\) −12.6456 + 3.38837i −0.519729 + 0.139261i
\(593\) 3.93254 + 14.6764i 0.161490 + 0.602689i 0.998462 + 0.0554430i \(0.0176571\pi\)
−0.836972 + 0.547246i \(0.815676\pi\)
\(594\) 6.64910 3.83886i 0.272816 0.157510i
\(595\) 17.2821 16.4174i 0.708498 0.673047i
\(596\) 25.1794 6.74679i 1.03139 0.276359i
\(597\) 10.0401 + 5.79667i 0.410915 + 0.237242i
\(598\) −1.84274 24.3882i −0.0753554 0.997307i
\(599\) 21.2625 + 36.8277i 0.868761 + 1.50474i 0.863264 + 0.504753i \(0.168416\pi\)
0.00549669 + 0.999985i \(0.498250\pi\)
\(600\) 4.15354 15.5012i 0.169568 0.632835i
\(601\) 7.41322 + 4.28002i 0.302391 + 0.174586i 0.643517 0.765432i \(-0.277475\pi\)
−0.341125 + 0.940018i \(0.610808\pi\)
\(602\) −21.0689 6.22885i −0.858704 0.253869i
\(603\) 6.52131 6.52131i 0.265568 0.265568i
\(604\) −34.4373 + 34.4373i −1.40123 + 1.40123i
\(605\) 0.867194 + 3.23641i 0.0352565 + 0.131579i
\(606\) 1.69509 6.32615i 0.0688582 0.256982i
\(607\) 2.24372i 0.0910697i −0.998963 0.0455349i \(-0.985501\pi\)
0.998963 0.0455349i \(-0.0144992\pi\)
\(608\) −15.4871 + 26.8244i −0.628084 + 1.08787i
\(609\) −2.85501 5.25169i −0.115691 0.212809i
\(610\) 103.714i 4.19925i
\(611\) −24.3847 + 1.84248i −0.986501 + 0.0745390i
\(612\) −6.42832 + 3.71139i −0.259849 + 0.150024i
\(613\) 10.5452 10.5452i 0.425918 0.425918i −0.461317 0.887235i \(-0.652623\pi\)
0.887235 + 0.461317i \(0.152623\pi\)
\(614\) −42.0633 + 24.2852i −1.69754 + 0.980073i
\(615\) −3.81107 6.60097i −0.153677 0.266177i
\(616\) −9.93657 + 16.2342i −0.400356 + 0.654093i
\(617\) −42.8048 11.4695i −1.72326 0.461745i −0.744645 0.667461i \(-0.767381\pi\)
−0.978612 + 0.205716i \(0.934048\pi\)
\(618\) −24.3992 24.3992i −0.981478 0.981478i
\(619\) 19.0455 + 5.10322i 0.765503 + 0.205116i 0.620384 0.784298i \(-0.286977\pi\)
0.145119 + 0.989414i \(0.453643\pi\)
\(620\) −31.1969 + 54.0346i −1.25290 + 2.17008i
\(621\) −1.52645 2.64388i −0.0612542 0.106095i
\(622\) −1.86407 6.95680i −0.0747423 0.278942i
\(623\) −15.1647 15.9634i −0.607560 0.639562i
\(624\) 1.48879 + 4.24631i 0.0595991 + 0.169989i
\(625\) −2.06281 + 3.57289i −0.0825123 + 0.142916i
\(626\) −45.1958 45.1958i −1.80639 1.80639i
\(627\) 15.4288 0.616168
\(628\) −48.8974 −1.95122
\(629\) −18.7467 18.7467i −0.747481 0.747481i
\(630\) 17.8742 + 10.9404i 0.712126 + 0.435877i
\(631\) −4.48791 + 16.7491i −0.178661 + 0.666772i 0.817238 + 0.576300i \(0.195504\pi\)
−0.995899 + 0.0904714i \(0.971163\pi\)
\(632\) 17.9302 4.80437i 0.713223 0.191108i
\(633\) 0.310015 + 0.178987i 0.0123220 + 0.00711410i
\(634\) 1.24178i 0.0493175i
\(635\) −37.0040 9.91520i −1.46846 0.393473i
\(636\) 14.9431 0.592533
\(637\) −24.2143 + 7.11803i −0.959407 + 0.282027i
\(638\) −17.3463 −0.686748
\(639\) 12.8101 + 3.43246i 0.506760 + 0.135786i
\(640\) 52.8589i 2.08943i
\(641\) 38.3533 + 22.1433i 1.51486 + 0.874607i 0.999848 + 0.0174256i \(0.00554703\pi\)
0.515015 + 0.857181i \(0.327786\pi\)
\(642\) 8.60841 2.30662i 0.339747 0.0910349i
\(643\) −4.58915 + 17.1270i −0.180979 + 0.675421i 0.814477 + 0.580196i \(0.197024\pi\)
−0.995456 + 0.0952256i \(0.969643\pi\)
\(644\) 20.2335 + 12.3845i 0.797312 + 0.488018i
\(645\) 9.42067 + 9.42067i 0.370938 + 0.370938i
\(646\) −25.0742 −0.986529
\(647\) −8.74076 −0.343635 −0.171817 0.985129i \(-0.554964\pi\)
−0.171817 + 0.985129i \(0.554964\pi\)
\(648\) −1.47218 1.47218i −0.0578325 0.0578325i
\(649\) 14.6900 25.4439i 0.576635 0.998760i
\(650\) −4.65265 61.5765i −0.182492 2.41523i
\(651\) −10.8592 11.4312i −0.425605 0.448022i
\(652\) −1.94710 7.26668i −0.0762544 0.284585i
\(653\) 7.63256 + 13.2200i 0.298685 + 0.517338i 0.975835 0.218507i \(-0.0701186\pi\)
−0.677150 + 0.735845i \(0.736785\pi\)
\(654\) 4.17179 7.22575i 0.163130 0.282549i
\(655\) −57.4399 15.3910i −2.24436 0.601376i
\(656\) 1.88685 + 1.88685i 0.0736692 + 0.0736692i
\(657\) −4.73040 1.26751i −0.184551 0.0494502i
\(658\) 20.8150 34.0071i 0.811453 1.32573i
\(659\) −16.9799 29.4100i −0.661443 1.14565i −0.980237 0.197829i \(-0.936611\pi\)
0.318794 0.947824i \(-0.396722\pi\)
\(660\) 31.3312 18.0890i 1.21956 0.704115i
\(661\) −19.2329 + 19.2329i −0.748072 + 0.748072i −0.974117 0.226045i \(-0.927420\pi\)
0.226045 + 0.974117i \(0.427420\pi\)
\(662\) 1.37165 0.791925i 0.0533109 0.0307790i
\(663\) −5.93966 + 6.91061i −0.230677 + 0.268386i
\(664\) 1.68902i 0.0655466i
\(665\) 20.1143 + 36.9996i 0.779999 + 1.43478i
\(666\) 11.6541 20.1856i 0.451589 0.782175i
\(667\) 6.89743i 0.267070i
\(668\) 0.491607 1.83470i 0.0190208 0.0709867i
\(669\) 1.46722 + 5.47574i 0.0567260 + 0.211704i
\(670\) 51.6544 51.6544i 1.99558 1.99558i
\(671\) −31.9926 + 31.9926i −1.23506 + 1.23506i
\(672\) −17.6003 5.20340i −0.678947 0.200725i
\(673\) 10.6058 + 6.12329i 0.408825 + 0.236035i 0.690285 0.723538i \(-0.257485\pi\)
−0.281460 + 0.959573i \(0.590819\pi\)
\(674\) 0.741678 2.76798i 0.0285684 0.106619i
\(675\) −3.85405 6.67542i −0.148343 0.256937i
\(676\) −23.8423 29.8218i −0.917010 1.14699i
\(677\) 16.0226 + 9.25064i 0.615798 + 0.355531i 0.775231 0.631678i \(-0.217633\pi\)
−0.159433 + 0.987209i \(0.550967\pi\)
\(678\) −17.3880 + 4.65909i −0.667780 + 0.178931i
\(679\) 30.1405 28.6324i 1.15669 1.09881i
\(680\) −16.2446 + 9.37880i −0.622950 + 0.359660i
\(681\) 2.76523 + 10.3200i 0.105964 + 0.395462i
\(682\) −44.1948 + 11.8420i −1.69231 + 0.453453i
\(683\) 12.6237 3.38250i 0.483031 0.129428i −0.00908284 0.999959i \(-0.502891\pi\)
0.492113 + 0.870531i \(0.336225\pi\)
\(684\) −3.39417 12.6672i −0.129779 0.484343i
\(685\) −41.5539 + 23.9912i −1.58769 + 0.916655i
\(686\) 13.6753 38.8121i 0.522125 1.48185i
\(687\) 27.2338 7.29728i 1.03903 0.278408i
\(688\) −4.03927 2.33207i −0.153996 0.0889094i
\(689\) 17.3114 6.06949i 0.659512 0.231229i
\(690\) −12.0908 20.9418i −0.460288 0.797242i
\(691\) 6.01271 22.4398i 0.228734 0.853648i −0.752139 0.659004i \(-0.770978\pi\)
0.980874 0.194644i \(-0.0623553\pi\)
\(692\) −2.30049 1.32819i −0.0874515 0.0504902i
\(693\) 2.13887 + 8.88845i 0.0812488 + 0.337644i
\(694\) 22.7431 22.7431i 0.863317 0.863317i
\(695\) −39.4730 + 39.4730i −1.49730 + 1.49730i
\(696\) 1.21744 + 4.54354i 0.0461468 + 0.172222i
\(697\) −1.39860 + 5.21966i −0.0529759 + 0.197709i
\(698\) 13.3320i 0.504623i
\(699\) −0.677369 + 1.17324i −0.0256205 + 0.0443759i
\(700\) 51.0866 + 31.2690i 1.93089 + 1.18186i
\(701\) 4.81650i 0.181917i 0.995855 + 0.0909584i \(0.0289930\pi\)
−0.995855 + 0.0909584i \(0.971007\pi\)
\(702\) −7.22008 3.47153i −0.272504 0.131025i
\(703\) 40.5641 23.4197i 1.52990 0.883290i
\(704\) −31.5617 + 31.5617i −1.18953 + 1.18953i
\(705\) −20.9389 + 12.0891i −0.788604 + 0.455301i
\(706\) 19.5783 + 33.9106i 0.736839 + 1.27624i
\(707\) 6.65148 + 4.07123i 0.250155 + 0.153114i
\(708\) −24.1213 6.46330i −0.906536 0.242906i
\(709\) −4.63907 4.63907i −0.174224 0.174224i 0.614608 0.788832i \(-0.289314\pi\)
−0.788832 + 0.614608i \(0.789314\pi\)
\(710\) 101.467 + 27.1880i 3.80799 + 1.02035i
\(711\) 4.45795 7.72140i 0.167186 0.289575i
\(712\) 8.66317 + 15.0050i 0.324666 + 0.562338i
\(713\) 4.70873 + 17.5732i 0.176343 + 0.658122i
\(714\) −3.47598 14.4451i −0.130085 0.540593i
\(715\) 28.9495 33.6818i 1.08265 1.25963i
\(716\) 31.2432 54.1148i 1.16761 2.02236i
\(717\) 7.36460 + 7.36460i 0.275036 + 0.275036i
\(718\) 15.8312 0.590813
\(719\) −11.0944 −0.413753 −0.206876 0.978367i \(-0.566330\pi\)
−0.206876 + 0.978367i \(0.566330\pi\)
\(720\) 3.14587 + 3.14587i 0.117240 + 0.117240i
\(721\) 36.0979 19.6241i 1.34436 0.730840i
\(722\) 0.538992 2.01155i 0.0200592 0.0748620i
\(723\) −5.01601 + 1.34404i −0.186548 + 0.0499853i
\(724\) −50.6570 29.2469i −1.88265 1.08695i
\(725\) 17.4150i 0.646776i
\(726\) 2.01723 + 0.540515i 0.0748664 + 0.0200604i
\(727\) 3.05345 0.113246 0.0566230 0.998396i \(-0.481967\pi\)
0.0566230 + 0.998396i \(0.481967\pi\)
\(728\) 19.8362 0.987883i 0.735177 0.0366134i
\(729\) −1.00000 −0.0370370
\(730\) −37.4689 10.0397i −1.38678 0.371588i
\(731\) 9.44535i 0.349349i
\(732\) 33.3043 + 19.2282i 1.23096 + 0.710696i
\(733\) −16.4195 + 4.39960i −0.606469 + 0.162503i −0.548969 0.835843i \(-0.684980\pi\)
−0.0574997 + 0.998346i \(0.518313\pi\)
\(734\) −1.36875 + 5.10825i −0.0505215 + 0.188549i
\(735\) −18.5268 + 16.7169i −0.683372 + 0.616612i
\(736\) 14.9749 + 14.9749i 0.551982 + 0.551982i
\(737\) 31.8676 1.17386
\(738\) −4.75082 −0.174880
\(739\) −38.0804 38.0804i −1.40081 1.40081i −0.797523 0.603288i \(-0.793857\pi\)
−0.603288 0.797523i \(-0.706143\pi\)
\(740\) 54.9154 95.1162i 2.01873 3.49654i
\(741\) −9.07719 13.2962i −0.333459 0.488448i
\(742\) −8.47984 + 28.6828i −0.311305 + 1.05298i
\(743\) −0.571152 2.13157i −0.0209535 0.0781997i 0.954657 0.297707i \(-0.0962218\pi\)
−0.975611 + 0.219507i \(0.929555\pi\)
\(744\) 6.20355 + 10.7449i 0.227433 + 0.393926i
\(745\) 15.8200 27.4010i 0.579600 1.00390i
\(746\) −1.95166 0.522946i −0.0714555 0.0191464i
\(747\) −0.573646 0.573646i −0.0209886 0.0209886i
\(748\) −24.7748 6.63840i −0.905858 0.242724i
\(749\) −0.272216 + 10.6085i −0.00994656 + 0.387625i
\(750\) −10.7253 18.5767i −0.391631 0.678326i
\(751\) −2.18913 + 1.26390i −0.0798826 + 0.0461202i −0.539409 0.842044i \(-0.681352\pi\)
0.459527 + 0.888164i \(0.348019\pi\)
\(752\) 5.98527 5.98527i 0.218260 0.218260i
\(753\) 7.94186 4.58523i 0.289417 0.167095i
\(754\) 10.2053 + 14.9487i 0.371655 + 0.544398i
\(755\) 59.1126i 2.15133i
\(756\) 6.82698 3.71139i 0.248295 0.134982i
\(757\) −4.00640 + 6.93928i −0.145615 + 0.252213i −0.929602 0.368564i \(-0.879849\pi\)
0.783987 + 0.620777i \(0.213183\pi\)
\(758\) 61.7745i 2.24375i
\(759\) 2.73029 10.1896i 0.0991032 0.369858i
\(760\) −8.57717 32.0104i −0.311127 1.16114i
\(761\) 2.70358 2.70358i 0.0980047 0.0980047i −0.656404 0.754409i \(-0.727923\pi\)
0.754409 + 0.656404i \(0.227923\pi\)
\(762\) −16.8842 + 16.8842i −0.611651 + 0.611651i
\(763\) 6.84261 + 7.20303i 0.247719 + 0.260767i
\(764\) −23.2017 13.3955i −0.839409 0.484633i
\(765\) −2.33184 + 8.70254i −0.0843078 + 0.314641i
\(766\) −13.4727 23.3354i −0.486787 0.843140i
\(767\) −30.5695 + 2.30980i −1.10380 + 0.0834020i
\(768\) 6.15891 + 3.55585i 0.222241 + 0.128311i
\(769\) 11.5757 3.10171i 0.417431 0.111850i −0.0439891 0.999032i \(-0.514007\pi\)
0.461420 + 0.887182i \(0.347340\pi\)
\(770\) 16.9417 + 70.4042i 0.610535 + 2.53719i
\(771\) −3.28895 + 1.89888i −0.118449 + 0.0683864i
\(772\) 12.1212 + 45.2371i 0.436253 + 1.62812i
\(773\) 51.8808 13.9014i 1.86602 0.500000i 0.866024 0.500002i \(-0.166668\pi\)
1.00000 2.85353e-6i \(9.08307e-7\pi\)
\(774\)