Properties

Label 144.2.x.e.85.5
Level $144$
Weight $2$
Character 144.85
Analytic conductor $1.150$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 85.5
Character \(\chi\) \(=\) 144.85
Dual form 144.2.x.e.61.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.18142 + 0.777339i) q^{2} +(-0.409248 + 1.68301i) q^{3} +(0.791487 - 1.83672i) q^{4} +(3.30105 - 0.884514i) q^{5} +(-0.824777 - 2.30646i) q^{6} +(2.63210 - 1.51965i) q^{7} +(0.492680 + 2.78519i) q^{8} +(-2.66503 - 1.37753i) q^{9} +O(q^{10})\) \(q+(-1.18142 + 0.777339i) q^{2} +(-0.409248 + 1.68301i) q^{3} +(0.791487 - 1.83672i) q^{4} +(3.30105 - 0.884514i) q^{5} +(-0.824777 - 2.30646i) q^{6} +(2.63210 - 1.51965i) q^{7} +(0.492680 + 2.78519i) q^{8} +(-2.66503 - 1.37753i) q^{9} +(-3.21235 + 3.61102i) q^{10} +(-1.39766 + 5.21614i) q^{11} +(2.76730 + 2.08375i) q^{12} +(-0.378541 - 1.41274i) q^{13} +(-1.92833 + 3.84137i) q^{14} +(0.137697 + 5.91768i) q^{15} +(-2.74710 - 2.90748i) q^{16} +0.259408 q^{17} +(4.21932 - 0.444194i) q^{18} +(0.228947 - 0.228947i) q^{19} +(0.988135 - 6.76320i) q^{20} +(1.48039 + 5.05176i) q^{21} +(-2.40349 - 7.24889i) q^{22} +(-2.69713 - 1.55719i) q^{23} +(-4.88912 - 0.310647i) q^{24} +(5.78446 - 3.33966i) q^{25} +(1.54539 + 1.37477i) q^{26} +(3.40906 - 3.92152i) q^{27} +(-0.707890 - 6.03722i) q^{28} +(1.63556 + 0.438247i) q^{29} +(-4.76273 - 6.88421i) q^{30} +(-3.30458 + 5.72370i) q^{31} +(5.50556 + 1.29952i) q^{32} +(-8.20682 - 4.48697i) q^{33} +(-0.306469 + 0.201648i) q^{34} +(7.34457 - 7.34457i) q^{35} +(-4.63949 + 3.80462i) q^{36} +(1.24139 + 1.24139i) q^{37} +(-0.0925123 + 0.448452i) q^{38} +(2.53256 - 0.0589295i) q^{39} +(4.08990 + 8.75827i) q^{40} +(-8.85221 - 5.11082i) q^{41} +(-5.67590 - 4.81747i) q^{42} +(0.722202 - 2.69530i) q^{43} +(8.47437 + 6.69563i) q^{44} +(-10.0159 - 2.19005i) q^{45} +(4.39690 - 0.256898i) q^{46} +(-6.08240 - 10.5350i) q^{47} +(6.01756 - 3.43350i) q^{48} +(1.11865 - 1.93755i) q^{49} +(-4.23780 + 8.44201i) q^{50} +(-0.106162 + 0.436587i) q^{51} +(-2.89441 - 0.422887i) q^{52} +(1.24325 + 1.24325i) q^{53} +(-0.979167 + 7.28294i) q^{54} +18.4550i q^{55} +(5.52928 + 6.58220i) q^{56} +(0.291624 + 0.479016i) q^{57} +(-2.27294 + 0.753632i) q^{58} +(0.725362 - 0.194360i) q^{59} +(10.9781 + 4.43086i) q^{60} +(4.36145 + 1.16865i) q^{61} +(-0.545173 - 9.33086i) q^{62} +(-9.10801 + 0.424093i) q^{63} +(-7.51453 + 2.74441i) q^{64} +(-2.49917 - 4.32869i) q^{65} +(13.1836 - 1.07851i) q^{66} +(0.411250 + 1.53481i) q^{67} +(0.205319 - 0.476461i) q^{68} +(3.72456 - 3.90202i) q^{69} +(-2.96777 + 14.3862i) q^{70} -4.68290i q^{71} +(2.52368 - 8.10130i) q^{72} -15.1606i q^{73} +(-2.43158 - 0.501618i) q^{74} +(3.25340 + 11.1020i) q^{75} +(-0.239304 - 0.601722i) q^{76} +(4.24790 + 15.8534i) q^{77} +(-2.94620 + 2.03828i) q^{78} +(-0.738050 - 1.27834i) q^{79} +(-11.6400 - 7.16792i) q^{80} +(5.20480 + 7.34235i) q^{81} +(14.4310 - 0.843158i) q^{82} +(-3.39108 - 0.908637i) q^{83} +(10.4504 + 1.27934i) q^{84} +(0.856321 - 0.229451i) q^{85} +(1.24194 + 3.74566i) q^{86} +(-1.40692 + 2.57331i) q^{87} +(-15.2165 - 1.32286i) q^{88} +15.7450i q^{89} +(13.5353 - 5.19836i) q^{90} +(-3.14322 - 3.14322i) q^{91} +(-4.99487 + 3.72139i) q^{92} +(-8.28065 - 7.90405i) q^{93} +(15.3751 + 7.71816i) q^{94} +(0.553260 - 0.958274i) q^{95} +(-4.44025 + 8.73408i) q^{96} +(5.94343 + 10.2943i) q^{97} +(0.184549 + 3.15863i) q^{98} +(10.9102 - 11.9759i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} + O(q^{10}) \) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} - 20q^{10} - 2q^{11} + 8q^{12} - 16q^{13} - 4q^{14} - 20q^{15} - 10q^{16} - 16q^{17} + 28q^{19} + 12q^{20} - 16q^{21} - 8q^{22} - 40q^{24} - 4q^{26} + 8q^{27} - 16q^{28} + 4q^{29} + 18q^{30} + 28q^{31} - 46q^{32} - 32q^{33} - 14q^{34} - 16q^{35} + 14q^{36} + 16q^{37} + 2q^{38} - 10q^{40} + 26q^{42} - 10q^{43} + 60q^{44} + 40q^{45} + 20q^{46} - 56q^{47} + 2q^{48} + 4q^{49} - 36q^{50} - 54q^{51} + 6q^{52} - 8q^{53} + 92q^{54} + 52q^{56} - 14q^{58} - 14q^{59} + 18q^{60} - 32q^{61} + 16q^{62} - 108q^{63} - 44q^{64} - 64q^{65} + 26q^{66} - 18q^{67} + 16q^{68} + 32q^{69} + 14q^{70} + 114q^{72} + 38q^{74} + 86q^{75} + 10q^{76} - 36q^{77} + 16q^{78} + 44q^{79} + 144q^{80} - 44q^{81} - 88q^{82} + 20q^{83} - 58q^{84} - 8q^{85} + 76q^{86} - 42q^{88} - 80q^{91} - 68q^{92} - 4q^{93} + 20q^{94} + 48q^{95} + 94q^{96} + 40q^{97} + 88q^{98} + 28q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.18142 + 0.777339i −0.835387 + 0.549662i
\(3\) −0.409248 + 1.68301i −0.236279 + 0.971685i
\(4\) 0.791487 1.83672i 0.395744 0.918361i
\(5\) 3.30105 0.884514i 1.47628 0.395567i 0.571198 0.820812i \(-0.306479\pi\)
0.905078 + 0.425246i \(0.139812\pi\)
\(6\) −0.824777 2.30646i −0.336714 0.941607i
\(7\) 2.63210 1.51965i 0.994842 0.574372i 0.0881237 0.996110i \(-0.471913\pi\)
0.906718 + 0.421737i \(0.138580\pi\)
\(8\) 0.492680 + 2.78519i 0.174189 + 0.984712i
\(9\) −2.66503 1.37753i −0.888344 0.459178i
\(10\) −3.21235 + 3.61102i −1.01583 + 1.14190i
\(11\) −1.39766 + 5.21614i −0.421411 + 1.57273i 0.350227 + 0.936665i \(0.386104\pi\)
−0.771638 + 0.636062i \(0.780562\pi\)
\(12\) 2.76730 + 2.08375i 0.798852 + 0.601528i
\(13\) −0.378541 1.41274i −0.104988 0.391822i 0.893355 0.449351i \(-0.148345\pi\)
−0.998344 + 0.0575285i \(0.981678\pi\)
\(14\) −1.92833 + 3.84137i −0.515368 + 1.02665i
\(15\) 0.137697 + 5.91768i 0.0355532 + 1.52794i
\(16\) −2.74710 2.90748i −0.686774 0.726871i
\(17\) 0.259408 0.0629158 0.0314579 0.999505i \(-0.489985\pi\)
0.0314579 + 0.999505i \(0.489985\pi\)
\(18\) 4.21932 0.444194i 0.994504 0.104697i
\(19\) 0.228947 0.228947i 0.0525241 0.0525241i −0.680357 0.732881i \(-0.738175\pi\)
0.732881 + 0.680357i \(0.238175\pi\)
\(20\) 0.988135 6.76320i 0.220954 1.51230i
\(21\) 1.48039 + 5.05176i 0.323048 + 1.10239i
\(22\) −2.40349 7.24889i −0.512426 1.54547i
\(23\) −2.69713 1.55719i −0.562391 0.324697i 0.191714 0.981451i \(-0.438596\pi\)
−0.754105 + 0.656754i \(0.771929\pi\)
\(24\) −4.88912 0.310647i −0.997988 0.0634105i
\(25\) 5.78446 3.33966i 1.15689 0.667932i
\(26\) 1.54539 + 1.37477i 0.303076 + 0.269615i
\(27\) 3.40906 3.92152i 0.656074 0.754697i
\(28\) −0.707890 6.03722i −0.133779 1.14093i
\(29\) 1.63556 + 0.438247i 0.303716 + 0.0813803i 0.407458 0.913224i \(-0.366415\pi\)
−0.103743 + 0.994604i \(0.533082\pi\)
\(30\) −4.76273 6.88421i −0.869551 1.25688i
\(31\) −3.30458 + 5.72370i −0.593520 + 1.02801i 0.400233 + 0.916413i \(0.368929\pi\)
−0.993754 + 0.111594i \(0.964404\pi\)
\(32\) 5.50556 + 1.29952i 0.973255 + 0.229726i
\(33\) −8.20682 4.48697i −1.42862 0.781081i
\(34\) −0.306469 + 0.201648i −0.0525591 + 0.0345824i
\(35\) 7.34457 7.34457i 1.24146 1.24146i
\(36\) −4.63949 + 3.80462i −0.773248 + 0.634104i
\(37\) 1.24139 + 1.24139i 0.204084 + 0.204084i 0.801747 0.597663i \(-0.203904\pi\)
−0.597663 + 0.801747i \(0.703904\pi\)
\(38\) −0.0925123 + 0.448452i −0.0150075 + 0.0727485i
\(39\) 2.53256 0.0589295i 0.405535 0.00943627i
\(40\) 4.08990 + 8.75827i 0.646670 + 1.38480i
\(41\) −8.85221 5.11082i −1.38248 0.798177i −0.390030 0.920802i \(-0.627535\pi\)
−0.992453 + 0.122626i \(0.960869\pi\)
\(42\) −5.67590 4.81747i −0.875810 0.743351i
\(43\) 0.722202 2.69530i 0.110135 0.411029i −0.888742 0.458407i \(-0.848420\pi\)
0.998877 + 0.0473786i \(0.0150867\pi\)
\(44\) 8.47437 + 6.69563i 1.27756 + 1.00940i
\(45\) −10.0159 2.19005i −1.49308 0.326474i
\(46\) 4.39690 0.256898i 0.648288 0.0378775i
\(47\) −6.08240 10.5350i −0.887209 1.53669i −0.843160 0.537662i \(-0.819307\pi\)
−0.0440493 0.999029i \(-0.514026\pi\)
\(48\) 6.01756 3.43350i 0.868560 0.495583i
\(49\) 1.11865 1.93755i 0.159807 0.276793i
\(50\) −4.23780 + 8.44201i −0.599316 + 1.19388i
\(51\) −0.106162 + 0.436587i −0.0148657 + 0.0611343i
\(52\) −2.89441 0.422887i −0.401383 0.0586439i
\(53\) 1.24325 + 1.24325i 0.170773 + 0.170773i 0.787319 0.616546i \(-0.211468\pi\)
−0.616546 + 0.787319i \(0.711468\pi\)
\(54\) −0.979167 + 7.28294i −0.133248 + 0.991083i
\(55\) 18.4550i 2.48847i
\(56\) 5.52928 + 6.58220i 0.738882 + 0.879584i
\(57\) 0.291624 + 0.479016i 0.0386266 + 0.0634473i
\(58\) −2.27294 + 0.753632i −0.298452 + 0.0989567i
\(59\) 0.725362 0.194360i 0.0944341 0.0253036i −0.211293 0.977423i \(-0.567767\pi\)
0.305727 + 0.952119i \(0.401101\pi\)
\(60\) 10.9781 + 4.43086i 1.41727 + 0.572022i
\(61\) 4.36145 + 1.16865i 0.558427 + 0.149630i 0.526983 0.849876i \(-0.323323\pi\)
0.0314432 + 0.999506i \(0.489990\pi\)
\(62\) −0.545173 9.33086i −0.0692371 1.18502i
\(63\) −9.10801 + 0.424093i −1.14750 + 0.0534307i
\(64\) −7.51453 + 2.74441i −0.939317 + 0.343051i
\(65\) −2.49917 4.32869i −0.309984 0.536908i
\(66\) 13.1836 1.07851i 1.62279 0.132755i
\(67\) 0.411250 + 1.53481i 0.0502422 + 0.187506i 0.986486 0.163844i \(-0.0523893\pi\)
−0.936244 + 0.351350i \(0.885723\pi\)
\(68\) 0.205319 0.476461i 0.0248985 0.0577794i
\(69\) 3.72456 3.90202i 0.448384 0.469748i
\(70\) −2.96777 + 14.3862i −0.354716 + 1.71948i
\(71\) 4.68290i 0.555758i −0.960616 0.277879i \(-0.910368\pi\)
0.960616 0.277879i \(-0.0896315\pi\)
\(72\) 2.52368 8.10130i 0.297419 0.954747i
\(73\) 15.1606i 1.77441i −0.461373 0.887206i \(-0.652643\pi\)
0.461373 0.887206i \(-0.347357\pi\)
\(74\) −2.43158 0.501618i −0.282666 0.0583119i
\(75\) 3.25340 + 11.1020i 0.375670 + 1.28195i
\(76\) −0.239304 0.601722i −0.0274500 0.0690222i
\(77\) 4.24790 + 15.8534i 0.484093 + 1.80666i
\(78\) −2.94620 + 2.03828i −0.333592 + 0.230790i
\(79\) −0.738050 1.27834i −0.0830371 0.143824i 0.821516 0.570185i \(-0.193129\pi\)
−0.904553 + 0.426361i \(0.859795\pi\)
\(80\) −11.6400 7.16792i −1.30139 0.801397i
\(81\) 5.20480 + 7.34235i 0.578311 + 0.815816i
\(82\) 14.4310 0.843158i 1.59364 0.0931113i
\(83\) −3.39108 0.908637i −0.372219 0.0997358i 0.0678599 0.997695i \(-0.478383\pi\)
−0.440079 + 0.897959i \(0.645050\pi\)
\(84\) 10.4504 + 1.27934i 1.14023 + 0.139587i
\(85\) 0.856321 0.229451i 0.0928811 0.0248874i
\(86\) 1.24194 + 3.74566i 0.133922 + 0.403905i
\(87\) −1.40692 + 2.57331i −0.150838 + 0.275887i
\(88\) −15.2165 1.32286i −1.62209 0.141017i
\(89\) 15.7450i 1.66897i 0.551029 + 0.834486i \(0.314235\pi\)
−0.551029 + 0.834486i \(0.685765\pi\)
\(90\) 13.5353 5.19836i 1.42675 0.547955i
\(91\) −3.14322 3.14322i −0.329499 0.329499i
\(92\) −4.99487 + 3.72139i −0.520752 + 0.387981i
\(93\) −8.28065 7.90405i −0.858663 0.819612i
\(94\) 15.3751 + 7.71816i 1.58582 + 0.796068i
\(95\) 0.553260 0.958274i 0.0567633 0.0983169i
\(96\) −4.44025 + 8.73408i −0.453181 + 0.891419i
\(97\) 5.94343 + 10.2943i 0.603464 + 1.04523i 0.992292 + 0.123919i \(0.0395465\pi\)
−0.388829 + 0.921310i \(0.627120\pi\)
\(98\) 0.184549 + 3.15863i 0.0186423 + 0.319069i
\(99\) 10.9102 11.9759i 1.09652 1.20362i
\(100\) −1.55570 13.2677i −0.155570 1.32677i
\(101\) 1.93153 7.20855i 0.192194 0.717278i −0.800781 0.598957i \(-0.795582\pi\)
0.992975 0.118321i \(-0.0377512\pi\)
\(102\) −0.213954 0.598314i −0.0211846 0.0592420i
\(103\) −9.83030 5.67553i −0.968609 0.559227i −0.0697969 0.997561i \(-0.522235\pi\)
−0.898812 + 0.438335i \(0.855568\pi\)
\(104\) 3.74823 1.75034i 0.367544 0.171634i
\(105\) 9.35522 + 15.3667i 0.912976 + 1.49964i
\(106\) −2.43522 0.502367i −0.236529 0.0487942i
\(107\) −6.81697 6.81697i −0.659022 0.659022i 0.296127 0.955149i \(-0.404305\pi\)
−0.955149 + 0.296127i \(0.904305\pi\)
\(108\) −4.50451 9.36533i −0.433447 0.901179i
\(109\) −7.08227 + 7.08227i −0.678359 + 0.678359i −0.959629 0.281270i \(-0.909244\pi\)
0.281270 + 0.959629i \(0.409244\pi\)
\(110\) −14.3458 21.8031i −1.36782 2.07884i
\(111\) −2.59731 + 1.58124i −0.246526 + 0.150084i
\(112\) −11.6490 3.47819i −1.10073 0.328658i
\(113\) −3.22342 + 5.58312i −0.303234 + 0.525216i −0.976866 0.213850i \(-0.931400\pi\)
0.673633 + 0.739066i \(0.264733\pi\)
\(114\) −0.716888 0.339227i −0.0671427 0.0317715i
\(115\) −10.2807 2.75471i −0.958684 0.256878i
\(116\) 2.09946 2.65720i 0.194930 0.246715i
\(117\) −0.937266 + 4.28644i −0.0866503 + 0.396282i
\(118\) −0.705871 + 0.793473i −0.0649807 + 0.0730451i
\(119\) 0.682790 0.394209i 0.0625913 0.0361371i
\(120\) −16.4140 + 3.29904i −1.49839 + 0.301159i
\(121\) −15.7284 9.08080i −1.42986 0.825528i
\(122\) −6.06112 + 2.00967i −0.548748 + 0.181947i
\(123\) 12.2243 12.8067i 1.10223 1.15475i
\(124\) 7.89732 + 10.5998i 0.709200 + 0.951893i
\(125\) 4.05813 4.05813i 0.362970 0.362970i
\(126\) 10.4307 7.58104i 0.929239 0.675373i
\(127\) 14.1695 1.25734 0.628669 0.777673i \(-0.283600\pi\)
0.628669 + 0.777673i \(0.283600\pi\)
\(128\) 6.74445 9.08363i 0.596131 0.802887i
\(129\) 4.24065 + 2.31852i 0.373368 + 0.204134i
\(130\) 6.31742 + 3.17128i 0.554074 + 0.278140i
\(131\) −2.33608 8.71838i −0.204104 0.761728i −0.989721 0.143014i \(-0.954321\pi\)
0.785616 0.618714i \(-0.212346\pi\)
\(132\) −14.7369 + 11.5223i −1.28268 + 1.00288i
\(133\) 0.254694 0.950532i 0.0220848 0.0824216i
\(134\) −1.67892 1.49356i −0.145037 0.129024i
\(135\) 7.78485 15.9605i 0.670013 1.37366i
\(136\) 0.127805 + 0.722501i 0.0109592 + 0.0619540i
\(137\) 8.48376 4.89810i 0.724817 0.418473i −0.0917063 0.995786i \(-0.529232\pi\)
0.816523 + 0.577313i \(0.195899\pi\)
\(138\) −1.36706 + 7.50516i −0.116372 + 0.638881i
\(139\) 0.532255 0.142617i 0.0451453 0.0120967i −0.236176 0.971710i \(-0.575894\pi\)
0.281321 + 0.959614i \(0.409227\pi\)
\(140\) −7.67679 19.3031i −0.648807 1.63141i
\(141\) 20.2197 5.92530i 1.70281 0.499000i
\(142\) 3.64021 + 5.53246i 0.305479 + 0.464274i
\(143\) 7.89810 0.660473
\(144\) 3.31594 + 11.5328i 0.276328 + 0.961063i
\(145\) 5.78670 0.480559
\(146\) 11.7849 + 17.9110i 0.975327 + 1.48232i
\(147\) 2.80312 + 2.67563i 0.231197 + 0.220682i
\(148\) 3.26264 1.29755i 0.268187 0.106658i
\(149\) −11.0511 + 2.96113i −0.905342 + 0.242586i −0.681309 0.731996i \(-0.738589\pi\)
−0.224033 + 0.974582i \(0.571922\pi\)
\(150\) −12.4737 10.5871i −1.01847 0.864436i
\(151\) 0.427774 0.246975i 0.0348117 0.0200986i −0.482493 0.875900i \(-0.660269\pi\)
0.517305 + 0.855801i \(0.326935\pi\)
\(152\) 0.750459 + 0.524863i 0.0608703 + 0.0425720i
\(153\) −0.691332 0.357344i −0.0558909 0.0288896i
\(154\) −17.3420 15.4274i −1.39746 1.24317i
\(155\) −5.84590 + 21.8172i −0.469554 + 1.75240i
\(156\) 1.89625 4.69826i 0.151822 0.376161i
\(157\) 3.71179 + 13.8526i 0.296233 + 1.10556i 0.940233 + 0.340532i \(0.110607\pi\)
−0.644000 + 0.765026i \(0.722726\pi\)
\(158\) 1.86565 + 0.936536i 0.148423 + 0.0745068i
\(159\) −2.60119 + 1.58360i −0.206288 + 0.125588i
\(160\) 19.3236 0.579952i 1.52767 0.0458492i
\(161\) −9.46551 −0.745987
\(162\) −11.8565 4.62847i −0.931537 0.363647i
\(163\) −11.4938 + 11.4938i −0.900262 + 0.900262i −0.995458 0.0951968i \(-0.969652\pi\)
0.0951968 + 0.995458i \(0.469652\pi\)
\(164\) −16.3936 + 12.2139i −1.28012 + 0.953745i
\(165\) −31.0599 7.55267i −2.41801 0.587975i
\(166\) 4.71259 1.56254i 0.365768 0.121277i
\(167\) 12.6295 + 7.29166i 0.977302 + 0.564245i 0.901454 0.432874i \(-0.142501\pi\)
0.0758473 + 0.997119i \(0.475834\pi\)
\(168\) −13.3407 + 6.61208i −1.02926 + 0.510133i
\(169\) 9.40580 5.43044i 0.723523 0.417726i
\(170\) −0.833310 + 0.936728i −0.0639120 + 0.0718438i
\(171\) −0.925535 + 0.294769i −0.0707774 + 0.0225416i
\(172\) −4.37890 3.45978i −0.333888 0.263806i
\(173\) 14.7841 + 3.96139i 1.12402 + 0.301179i 0.772508 0.635005i \(-0.219002\pi\)
0.351509 + 0.936185i \(0.385669\pi\)
\(174\) −0.338173 4.13380i −0.0256369 0.313383i
\(175\) 10.1502 17.5807i 0.767283 1.32897i
\(176\) 19.0054 10.2656i 1.43258 0.773796i
\(177\) 0.0302571 + 1.30033i 0.00227426 + 0.0977390i
\(178\) −12.2392 18.6015i −0.917370 1.39424i
\(179\) −13.0007 + 13.0007i −0.971722 + 0.971722i −0.999611 0.0278895i \(-0.991121\pi\)
0.0278895 + 0.999611i \(0.491121\pi\)
\(180\) −11.9499 + 16.6630i −0.890697 + 1.24198i
\(181\) 12.7435 + 12.7435i 0.947219 + 0.947219i 0.998675 0.0514563i \(-0.0163863\pi\)
−0.0514563 + 0.998675i \(0.516386\pi\)
\(182\) 6.15679 + 1.27010i 0.456372 + 0.0941462i
\(183\) −3.75176 + 6.86209i −0.277338 + 0.507260i
\(184\) 3.00824 8.27922i 0.221771 0.610352i
\(185\) 5.19593 + 2.99987i 0.382013 + 0.220555i
\(186\) 15.9270 + 2.90110i 1.16783 + 0.212719i
\(187\) −0.362565 + 1.35311i −0.0265134 + 0.0989493i
\(188\) −24.1641 + 2.83334i −1.76235 + 0.206642i
\(189\) 3.01368 15.5024i 0.219213 1.12763i
\(190\) 0.0912741 + 1.56219i 0.00662172 + 0.113333i
\(191\) 1.45841 + 2.52604i 0.105527 + 0.182778i 0.913953 0.405819i \(-0.133014\pi\)
−0.808426 + 0.588597i \(0.799680\pi\)
\(192\) −1.54356 13.7702i −0.111397 0.993776i
\(193\) 1.33436 2.31118i 0.0960494 0.166362i −0.813997 0.580870i \(-0.802713\pi\)
0.910046 + 0.414507i \(0.136046\pi\)
\(194\) −15.0238 7.54181i −1.07865 0.541471i
\(195\) 8.30800 2.43462i 0.594948 0.174347i
\(196\) −2.67335 3.58819i −0.190954 0.256300i
\(197\) 10.9442 + 10.9442i 0.779739 + 0.779739i 0.979786 0.200048i \(-0.0641097\pi\)
−0.200048 + 0.979786i \(0.564110\pi\)
\(198\) −3.58021 + 22.6294i −0.254434 + 1.60820i
\(199\) 4.55405i 0.322828i −0.986887 0.161414i \(-0.948395\pi\)
0.986887 0.161414i \(-0.0516054\pi\)
\(200\) 12.1515 + 14.4654i 0.859238 + 1.02286i
\(201\) −2.75139 + 0.0640214i −0.194068 + 0.00451572i
\(202\) 3.32155 + 10.0177i 0.233704 + 0.704846i
\(203\) 4.97094 1.33196i 0.348892 0.0934852i
\(204\) 0.717862 + 0.540543i 0.0502604 + 0.0378456i
\(205\) −33.7422 9.04120i −2.35666 0.631465i
\(206\) 16.0255 0.936321i 1.11655 0.0652365i
\(207\) 5.04286 + 7.86536i 0.350503 + 0.546680i
\(208\) −3.06762 + 4.98152i −0.212701 + 0.345406i
\(209\) 0.874231 + 1.51421i 0.0604718 + 0.104740i
\(210\) −22.9975 10.8823i −1.58698 0.750950i
\(211\) 2.12190 + 7.91903i 0.146077 + 0.545168i 0.999705 + 0.0242846i \(0.00773079\pi\)
−0.853628 + 0.520884i \(0.825603\pi\)
\(212\) 3.26751 1.29949i 0.224414 0.0892490i
\(213\) 7.88137 + 1.91647i 0.540022 + 0.131314i
\(214\) 13.3528 + 2.75458i 0.912777 + 0.188299i
\(215\) 9.53611i 0.650357i
\(216\) 12.6017 + 7.56281i 0.857440 + 0.514584i
\(217\) 20.0872i 1.36361i
\(218\) 2.86178 13.8724i 0.193824 0.939560i
\(219\) 25.5154 + 6.20443i 1.72417 + 0.419257i
\(220\) 33.8967 + 14.6069i 2.28532 + 0.984798i
\(221\) −0.0981968 0.366476i −0.00660543 0.0246518i
\(222\) 1.83935 3.88709i 0.123449 0.260884i
\(223\) 1.97029 + 3.41265i 0.131941 + 0.228528i 0.924425 0.381365i \(-0.124546\pi\)
−0.792484 + 0.609893i \(0.791213\pi\)
\(224\) 16.4660 4.94602i 1.10018 0.330470i
\(225\) −20.0163 + 0.932010i −1.33442 + 0.0621340i
\(226\) −0.531783 9.10168i −0.0353737 0.605435i
\(227\) 11.1712 + 2.99331i 0.741458 + 0.198673i 0.609726 0.792612i \(-0.291279\pi\)
0.131732 + 0.991285i \(0.457946\pi\)
\(228\) 1.11064 0.156497i 0.0735537 0.0103643i
\(229\) −13.3738 + 3.58349i −0.883764 + 0.236804i −0.672030 0.740524i \(-0.734578\pi\)
−0.211734 + 0.977327i \(0.567911\pi\)
\(230\) 14.2872 4.73716i 0.942068 0.312359i
\(231\) −28.4198 + 0.661293i −1.86989 + 0.0435099i
\(232\) −0.414792 + 4.77125i −0.0272324 + 0.313248i
\(233\) 6.01983i 0.394372i 0.980366 + 0.197186i \(0.0631803\pi\)
−0.980366 + 0.197186i \(0.936820\pi\)
\(234\) −2.22472 5.79264i −0.145434 0.378677i
\(235\) −29.3967 29.3967i −1.91763 1.91763i
\(236\) 0.217130 1.48612i 0.0141339 0.0967384i
\(237\) 2.45350 0.718987i 0.159372 0.0467032i
\(238\) −0.500225 + 0.996484i −0.0324248 + 0.0645925i
\(239\) 7.92968 13.7346i 0.512929 0.888418i −0.486959 0.873425i \(-0.661894\pi\)
0.999888 0.0149936i \(-0.00477279\pi\)
\(240\) 16.8273 16.6568i 1.08620 1.07519i
\(241\) −7.70313 13.3422i −0.496202 0.859447i 0.503788 0.863827i \(-0.331939\pi\)
−0.999990 + 0.00437981i \(0.998606\pi\)
\(242\) 25.6407 1.49811i 1.64824 0.0963019i
\(243\) −14.4873 + 5.75488i −0.929360 + 0.369176i
\(244\) 5.59851 7.08580i 0.358408 0.453622i
\(245\) 1.97892 7.38543i 0.126429 0.471838i
\(246\) −4.48680 + 24.6325i −0.286068 + 1.57051i
\(247\) −0.410108 0.236776i −0.0260946 0.0150657i
\(248\) −17.5697 6.38392i −1.11568 0.405380i
\(249\) 2.91703 5.33535i 0.184859 0.338114i
\(250\) −1.63980 + 7.94889i −0.103710 + 0.502732i
\(251\) 2.60640 + 2.60640i 0.164514 + 0.164514i 0.784563 0.620049i \(-0.212887\pi\)
−0.620049 + 0.784563i \(0.712887\pi\)
\(252\) −6.42993 + 17.0645i −0.405048 + 1.07497i
\(253\) 11.8922 11.8922i 0.747657 0.747657i
\(254\) −16.7400 + 11.0145i −1.05036 + 0.691111i
\(255\) 0.0357198 + 1.53510i 0.00223686 + 0.0961315i
\(256\) −0.906937 + 15.9743i −0.0566836 + 0.998392i
\(257\) 14.1100 24.4393i 0.880160 1.52448i 0.0289977 0.999579i \(-0.490768\pi\)
0.851162 0.524902i \(-0.175898\pi\)
\(258\) −6.81224 + 0.557288i −0.424112 + 0.0346952i
\(259\) 5.15395 + 1.38100i 0.320251 + 0.0858110i
\(260\) −9.92866 + 1.16418i −0.615749 + 0.0721992i
\(261\) −3.75512 3.42098i −0.232436 0.211753i
\(262\) 9.53702 + 8.48410i 0.589199 + 0.524150i
\(263\) −5.17419 + 2.98732i −0.319054 + 0.184206i −0.650971 0.759103i \(-0.725638\pi\)
0.331917 + 0.943309i \(0.392305\pi\)
\(264\) 8.45371 25.0682i 0.520290 1.54284i
\(265\) 5.20370 + 3.00436i 0.319661 + 0.184556i
\(266\) 0.437986 + 1.32096i 0.0268546 + 0.0809931i
\(267\) −26.4990 6.44362i −1.62172 0.394343i
\(268\) 3.14451 + 0.459428i 0.192082 + 0.0280640i
\(269\) −7.44878 + 7.44878i −0.454160 + 0.454160i −0.896733 0.442573i \(-0.854066\pi\)
0.442573 + 0.896733i \(0.354066\pi\)
\(270\) 3.20959 + 24.9075i 0.195329 + 1.51582i
\(271\) 12.6471 0.768254 0.384127 0.923280i \(-0.374502\pi\)
0.384127 + 0.923280i \(0.374502\pi\)
\(272\) −0.712620 0.754226i −0.0432089 0.0457317i
\(273\) 6.57642 4.00371i 0.398023 0.242315i
\(274\) −6.21536 + 12.3815i −0.375484 + 0.747991i
\(275\) 9.33542 + 34.8403i 0.562947 + 2.10095i
\(276\) −4.21898 9.92938i −0.253953 0.597678i
\(277\) 6.12271 22.8503i 0.367878 1.37294i −0.495600 0.868551i \(-0.665052\pi\)
0.863477 0.504387i \(-0.168282\pi\)
\(278\) −0.517953 + 0.582233i −0.0310648 + 0.0349200i
\(279\) 16.6914 10.7017i 0.999289 0.640693i
\(280\) 24.0745 + 16.8375i 1.43873 + 1.00623i
\(281\) −20.8897 + 12.0607i −1.24618 + 0.719480i −0.970345 0.241726i \(-0.922287\pi\)
−0.275832 + 0.961206i \(0.588953\pi\)
\(282\) −19.2820 + 22.7178i −1.14822 + 1.35283i
\(283\) 2.04741 0.548601i 0.121706 0.0326110i −0.197452 0.980313i \(-0.563267\pi\)
0.319158 + 0.947702i \(0.396600\pi\)
\(284\) −8.60119 3.70646i −0.510387 0.219938i
\(285\) 1.38636 + 1.32331i 0.0821211 + 0.0783863i
\(286\) −9.33095 + 6.13951i −0.551750 + 0.363037i
\(287\) −31.0666 −1.83380
\(288\) −12.8824 11.0474i −0.759101 0.650973i
\(289\) −16.9327 −0.996042
\(290\) −6.83650 + 4.49823i −0.401453 + 0.264145i
\(291\) −19.7578 + 5.78991i −1.15822 + 0.339411i
\(292\) −27.8458 11.9994i −1.62955 0.702212i
\(293\) −1.98386 + 0.531574i −0.115898 + 0.0310549i −0.316302 0.948659i \(-0.602441\pi\)
0.200404 + 0.979713i \(0.435775\pi\)
\(294\) −5.39152 0.982063i −0.314440 0.0572751i
\(295\) 2.22255 1.28319i 0.129402 0.0747100i
\(296\) −2.84590 + 4.06912i −0.165415 + 0.236513i
\(297\) 15.6905 + 23.2631i 0.910455 + 1.34986i
\(298\) 10.7541 12.0888i 0.622971 0.700285i
\(299\) −1.17892 + 4.39980i −0.0681788 + 0.254447i
\(300\) 22.9664 + 2.81154i 1.32596 + 0.162324i
\(301\) −2.19498 8.19179i −0.126517 0.472167i
\(302\) −0.313395 + 0.624306i −0.0180339 + 0.0359248i
\(303\) 11.3416 + 6.20086i 0.651557 + 0.356230i
\(304\) −1.29460 0.0367208i −0.0742505 0.00210608i
\(305\) 15.4311 0.883580
\(306\) 1.09453 0.115228i 0.0625700 0.00658712i
\(307\) 6.13676 6.13676i 0.350243 0.350243i −0.509957 0.860200i \(-0.670339\pi\)
0.860200 + 0.509957i \(0.170339\pi\)
\(308\) 32.4804 + 4.74554i 1.85074 + 0.270402i
\(309\) 13.5750 14.2218i 0.772254 0.809049i
\(310\) −10.0529 30.3194i −0.570968 1.72203i
\(311\) 19.1722 + 11.0691i 1.08716 + 0.627670i 0.932818 0.360348i \(-0.117342\pi\)
0.154339 + 0.988018i \(0.450675\pi\)
\(312\) 1.41187 + 7.02463i 0.0799316 + 0.397691i
\(313\) 3.88285 2.24176i 0.219472 0.126712i −0.386234 0.922401i \(-0.626224\pi\)
0.605706 + 0.795689i \(0.292891\pi\)
\(314\) −15.1533 13.4804i −0.855152 0.760741i
\(315\) −29.6909 + 9.45612i −1.67289 + 0.532792i
\(316\) −2.93211 + 0.343802i −0.164944 + 0.0193404i
\(317\) −0.0626747 0.0167936i −0.00352016 0.000943225i 0.257059 0.966396i \(-0.417247\pi\)
−0.260579 + 0.965453i \(0.583913\pi\)
\(318\) 1.84210 3.89290i 0.103300 0.218303i
\(319\) −4.57191 + 7.91879i −0.255978 + 0.443367i
\(320\) −22.3784 + 15.7062i −1.25099 + 0.878001i
\(321\) 14.2628 8.68319i 0.796075 0.484648i
\(322\) 11.1827 7.35791i 0.623188 0.410041i
\(323\) 0.0593909 0.0593909i 0.00330460 0.00330460i
\(324\) 17.6054 3.74839i 0.978077 0.208244i
\(325\) −6.90771 6.90771i −0.383171 0.383171i
\(326\) 4.64437 22.5135i 0.257228 1.24691i
\(327\) −9.02112 14.8179i −0.498869 0.819433i
\(328\) 9.87330 27.1731i 0.545162 1.50038i
\(329\) −32.0190 18.4862i −1.76527 1.01918i
\(330\) 42.5657 15.2213i 2.34316 0.837903i
\(331\) −2.23703 + 8.34869i −0.122958 + 0.458886i −0.999759 0.0219684i \(-0.993007\pi\)
0.876801 + 0.480854i \(0.159673\pi\)
\(332\) −4.35291 + 5.50929i −0.238897 + 0.302362i
\(333\) −1.59829 5.01841i −0.0875858 0.275007i
\(334\) −20.5888 + 1.20294i −1.12657 + 0.0658220i
\(335\) 2.71512 + 4.70272i 0.148343 + 0.256937i
\(336\) 10.6211 18.1819i 0.579431 0.991904i
\(337\) 15.6738 27.1477i 0.853804 1.47883i −0.0239463 0.999713i \(-0.507623\pi\)
0.877750 0.479119i \(-0.159044\pi\)
\(338\) −6.89087 + 13.7271i −0.374814 + 0.746656i
\(339\) −8.07726 7.70992i −0.438697 0.418745i
\(340\) 0.256331 1.75443i 0.0139015 0.0951474i
\(341\) −25.2370 25.2370i −1.36666 1.36666i
\(342\) 0.864306 1.06770i 0.0467363 0.0577346i
\(343\) 14.4753i 0.781590i
\(344\) 7.86272 + 0.683550i 0.423929 + 0.0368546i
\(345\) 8.84357 16.1752i 0.476122 0.870844i
\(346\) −20.5455 + 6.81223i −1.10454 + 0.366227i
\(347\) −2.46409 + 0.660251i −0.132279 + 0.0354441i −0.324351 0.945937i \(-0.605146\pi\)
0.192072 + 0.981381i \(0.438479\pi\)
\(348\) 3.61289 + 4.62086i 0.193671 + 0.247704i
\(349\) −5.78691 1.55060i −0.309766 0.0830016i 0.100587 0.994928i \(-0.467928\pi\)
−0.410353 + 0.911927i \(0.634595\pi\)
\(350\) 1.67453 + 28.6602i 0.0895073 + 1.53195i
\(351\) −6.83054 3.33164i −0.364587 0.177830i
\(352\) −14.4734 + 26.9015i −0.771436 + 1.43386i
\(353\) 0.129293 + 0.223941i 0.00688155 + 0.0119192i 0.869446 0.494029i \(-0.164476\pi\)
−0.862564 + 0.505948i \(0.831143\pi\)
\(354\) −1.04655 1.51271i −0.0556233 0.0803998i
\(355\) −4.14210 15.4585i −0.219840 0.820453i
\(356\) 28.9193 + 12.4620i 1.53272 + 0.660485i
\(357\) 0.384027 + 1.31047i 0.0203249 + 0.0693574i
\(358\) 5.25330 25.4653i 0.277646 1.34588i
\(359\) 11.3079i 0.596808i −0.954440 0.298404i \(-0.903546\pi\)
0.954440 0.298404i \(-0.0964543\pi\)
\(360\) 1.16509 28.9750i 0.0614057 1.52712i
\(361\) 18.8952i 0.994482i
\(362\) −24.9615 5.14936i −1.31194 0.270645i
\(363\) 21.7199 22.7547i 1.14000 1.19431i
\(364\) −8.26104 + 3.28540i −0.432996 + 0.172202i
\(365\) −13.4098 50.0459i −0.701899 2.61952i
\(366\) −0.901788 11.0234i −0.0471372 0.576201i
\(367\) 14.0557 + 24.3452i 0.733701 + 1.27081i 0.955291 + 0.295667i \(0.0955419\pi\)
−0.221590 + 0.975140i \(0.571125\pi\)
\(368\) 2.88177 + 12.1196i 0.150223 + 0.631779i
\(369\) 16.5511 + 25.8147i 0.861615 + 1.34386i
\(370\) −8.47048 + 0.494904i −0.440359 + 0.0257288i
\(371\) 5.16165 + 1.38306i 0.267980 + 0.0718049i
\(372\) −21.0716 + 8.95329i −1.09251 + 0.464206i
\(373\) −28.9876 + 7.76720i −1.50092 + 0.402170i −0.913408 0.407045i \(-0.866559\pi\)
−0.587512 + 0.809215i \(0.699893\pi\)
\(374\) −0.623486 1.88042i −0.0322397 0.0972344i
\(375\) 5.16909 + 8.49065i 0.266931 + 0.438455i
\(376\) 26.3453 22.1310i 1.35866 1.14132i
\(377\) 2.47651i 0.127547i
\(378\) 8.49022 + 20.6574i 0.436690 + 1.06250i
\(379\) 22.9932 + 22.9932i 1.18108 + 1.18108i 0.979465 + 0.201616i \(0.0646194\pi\)
0.201616 + 0.979465i \(0.435381\pi\)
\(380\) −1.32219 1.77465i −0.0678267 0.0910375i
\(381\) −5.79883 + 23.8473i −0.297083 + 1.22174i
\(382\) −3.68658 1.85063i −0.188622 0.0946864i
\(383\) 1.35411 2.34539i 0.0691919 0.119844i −0.829354 0.558724i \(-0.811291\pi\)
0.898546 + 0.438880i \(0.144625\pi\)
\(384\) 12.5277 + 15.0684i 0.639300 + 0.768957i
\(385\) 28.0451 + 48.5755i 1.42931 + 2.47564i
\(386\) 0.220136 + 3.76772i 0.0112046 + 0.191772i
\(387\) −5.63756 + 6.18819i −0.286573 + 0.314564i
\(388\) 23.6119 2.76860i 1.19871 0.140554i
\(389\) 3.57208 13.3312i 0.181112 0.675918i −0.814318 0.580419i \(-0.802889\pi\)
0.995430 0.0954990i \(-0.0304447\pi\)
\(390\) −7.92268 + 9.33443i −0.401180 + 0.472667i
\(391\) −0.699659 0.403948i −0.0353833 0.0204285i
\(392\) 5.94759 + 2.16105i 0.300398 + 0.109149i
\(393\) 15.6291 0.363670i 0.788386 0.0183447i
\(394\) −21.4369 4.42228i −1.07998 0.222791i
\(395\) −3.56705 3.56705i −0.179478 0.179478i
\(396\) −13.3610 29.5178i −0.671417 1.48333i
\(397\) −2.91803 + 2.91803i −0.146452 + 0.146452i −0.776531 0.630079i \(-0.783022\pi\)
0.630079 + 0.776531i \(0.283022\pi\)
\(398\) 3.54004 + 5.38023i 0.177446 + 0.269686i
\(399\) 1.49552 + 0.817656i 0.0748697 + 0.0409340i
\(400\) −25.6005 7.64386i −1.28002 0.382193i
\(401\) −6.93768 + 12.0164i −0.346451 + 0.600071i −0.985616 0.168999i \(-0.945947\pi\)
0.639165 + 0.769069i \(0.279280\pi\)
\(402\) 3.20077 2.21440i 0.159640 0.110444i
\(403\) 9.33700 + 2.50184i 0.465109 + 0.124626i
\(404\) −11.7113 9.25315i −0.582660 0.460362i
\(405\) 23.6757 + 19.6338i 1.17646 + 0.975609i
\(406\) −4.83736 + 5.43770i −0.240074 + 0.269869i
\(407\) −8.21033 + 4.74024i −0.406971 + 0.234965i
\(408\) −1.26828 0.0805844i −0.0627892 0.00398952i
\(409\) 15.7740 + 9.10712i 0.779974 + 0.450318i 0.836421 0.548087i \(-0.184644\pi\)
−0.0564472 + 0.998406i \(0.517977\pi\)
\(410\) 46.8917 15.5477i 2.31581 0.767847i
\(411\) 4.77159 + 16.2828i 0.235365 + 0.803170i
\(412\) −18.2049 + 13.5634i −0.896893 + 0.668222i
\(413\) 1.61387 1.61387i 0.0794134 0.0794134i
\(414\) −12.0718 5.37224i −0.593295 0.264031i
\(415\) −11.9978 −0.588950
\(416\) −0.248199 8.26983i −0.0121690 0.405462i
\(417\) 0.0222020 + 0.954156i 0.00108724 + 0.0467252i
\(418\) −2.20989 1.10934i −0.108089 0.0542596i
\(419\) 0.708792 + 2.64525i 0.0346268 + 0.129229i 0.981076 0.193625i \(-0.0620245\pi\)
−0.946449 + 0.322854i \(0.895358\pi\)
\(420\) 35.6289 5.02038i 1.73851 0.244969i
\(421\) −5.57629 + 20.8110i −0.271772 + 1.01427i 0.686202 + 0.727411i \(0.259276\pi\)
−0.957974 + 0.286855i \(0.907390\pi\)
\(422\) −8.66261 7.70623i −0.421689 0.375133i
\(423\) 1.69744 + 36.4549i 0.0825322 + 1.77250i
\(424\) −2.85015 + 4.07520i −0.138416 + 0.197909i
\(425\) 1.50054 0.866336i 0.0727867 0.0420234i
\(426\) −10.8009 + 3.86235i −0.523306 + 0.187131i
\(427\) 13.2557 3.55186i 0.641489 0.171887i
\(428\) −17.9164 + 7.12533i −0.866023 + 0.344416i
\(429\) −3.23228 + 13.2926i −0.156056 + 0.641771i
\(430\) 7.41279 + 11.2661i 0.357477 + 0.543300i
\(431\) 17.4155 0.838873 0.419436 0.907785i \(-0.362228\pi\)
0.419436 + 0.907785i \(0.362228\pi\)
\(432\) −20.7668 + 0.860997i −0.999142 + 0.0414247i
\(433\) −27.7567 −1.33390 −0.666952 0.745101i \(-0.732401\pi\)
−0.666952 + 0.745101i \(0.732401\pi\)
\(434\) −15.6145 23.7313i −0.749522 1.13914i
\(435\) −2.36819 + 9.73906i −0.113546 + 0.466952i
\(436\) 7.40264 + 18.6137i 0.354522 + 0.891434i
\(437\) −0.974016 + 0.260987i −0.0465935 + 0.0124847i
\(438\) −34.9672 + 12.5041i −1.67080 + 0.597469i
\(439\) 34.3074 19.8074i 1.63740 0.945354i 0.655677 0.755042i \(-0.272383\pi\)
0.981724 0.190312i \(-0.0609499\pi\)
\(440\) −51.4007 + 9.09242i −2.45043 + 0.433464i
\(441\) −5.65028 + 3.62267i −0.269061 + 0.172508i
\(442\) 0.400887 + 0.356628i 0.0190683 + 0.0169631i
\(443\) 6.05978 22.6154i 0.287909 1.07449i −0.658779 0.752337i \(-0.728927\pi\)
0.946687 0.322154i \(-0.104407\pi\)
\(444\) 0.848554 + 6.02207i 0.0402706 + 0.285795i
\(445\) 13.9267 + 51.9752i 0.660190 + 2.46386i
\(446\) −4.98052 2.50017i −0.235834 0.118387i
\(447\) −0.460975 19.8109i −0.0218034 0.937025i
\(448\) −15.6085 + 18.6430i −0.737432 + 0.880799i
\(449\) −1.41103 −0.0665906 −0.0332953 0.999446i \(-0.510600\pi\)
−0.0332953 + 0.999446i \(0.510600\pi\)
\(450\) 22.9230 16.6605i 1.08060 0.785384i
\(451\) 39.0312 39.0312i 1.83791 1.83791i
\(452\) 7.70335 + 10.3395i 0.362335 + 0.486329i
\(453\) 0.240596 + 0.821021i 0.0113042 + 0.0385749i
\(454\) −15.5246 + 5.14746i −0.728608 + 0.241582i
\(455\) −13.1562 7.59571i −0.616770 0.356092i
\(456\) −1.19047 + 1.04823i −0.0557490 + 0.0490878i
\(457\) −21.3692 + 12.3375i −0.999609 + 0.577124i −0.908132 0.418683i \(-0.862492\pi\)
−0.0914761 + 0.995807i \(0.529159\pi\)
\(458\) 13.0144 14.6296i 0.608123 0.683594i
\(459\) 0.884339 1.01728i 0.0412774 0.0474823i
\(460\) −13.1967 + 16.7025i −0.615300 + 0.778760i
\(461\) 31.8645 + 8.53806i 1.48408 + 0.397657i 0.907733 0.419549i \(-0.137812\pi\)
0.576345 + 0.817207i \(0.304479\pi\)
\(462\) 33.0616 22.8731i 1.53816 1.06415i
\(463\) −14.0805 + 24.3881i −0.654376 + 1.13341i 0.327674 + 0.944791i \(0.393735\pi\)
−0.982050 + 0.188621i \(0.939598\pi\)
\(464\) −3.21884 5.95927i −0.149431 0.276652i
\(465\) −34.3261 18.7673i −1.59183 0.870314i
\(466\) −4.67945 7.11192i −0.216771 0.329454i
\(467\) 26.3173 26.3173i 1.21782 1.21782i 0.249427 0.968394i \(-0.419758\pi\)
0.968394 0.249427i \(-0.0802423\pi\)
\(468\) 7.13116 + 5.11416i 0.329638 + 0.236402i
\(469\) 3.41481 + 3.41481i 0.157681 + 0.157681i
\(470\) 57.5810 + 11.8785i 2.65601 + 0.547916i
\(471\) −24.8331 + 0.577834i −1.14425 + 0.0266252i
\(472\) 0.898701 + 1.92451i 0.0413661 + 0.0885829i
\(473\) 13.0497 + 7.53422i 0.600024 + 0.346424i
\(474\) −2.33971 + 2.75663i −0.107466 + 0.126616i
\(475\) 0.559730 2.08894i 0.0256822 0.0958472i
\(476\) −0.183633 1.56611i −0.00841678 0.0717824i
\(477\) −1.60068 5.02591i −0.0732901 0.230121i
\(478\) 1.30820 + 22.3903i 0.0598357 + 1.02411i
\(479\) 1.55507 + 2.69347i 0.0710531 + 0.123068i 0.899363 0.437202i \(-0.144031\pi\)
−0.828310 + 0.560270i \(0.810697\pi\)
\(480\) −6.93208 + 32.7591i −0.316405 + 1.49524i
\(481\) 1.28384 2.22368i 0.0585381 0.101391i
\(482\) 19.4720 + 9.77476i 0.886926 + 0.445228i
\(483\) 3.87374 15.9305i 0.176261 0.724864i
\(484\) −29.1278 + 21.7014i −1.32399 + 0.986426i
\(485\) 28.7250 + 28.7250i 1.30434 + 1.30434i
\(486\) 12.6420 18.0604i 0.573453 0.819238i
\(487\) 33.0078i 1.49572i −0.663854 0.747862i \(-0.731080\pi\)
0.663854 0.747862i \(-0.268920\pi\)
\(488\) −1.10610 + 12.7232i −0.0500709 + 0.575953i
\(489\) −14.6403 24.0479i −0.662058 1.08748i
\(490\) 3.40306 + 10.2636i 0.153734 + 0.463660i
\(491\) −19.9915 + 5.35669i −0.902202 + 0.241744i −0.679962 0.733248i \(-0.738004\pi\)
−0.222240 + 0.974992i \(0.571337\pi\)
\(492\) −13.8470 32.5890i −0.624273 1.46923i
\(493\) 0.424278 + 0.113685i 0.0191085 + 0.00512011i
\(494\) 0.668564 0.0390621i 0.0300801 0.00175749i
\(495\) 25.4224 49.1832i 1.14265 2.21062i
\(496\) 25.7196 6.11554i 1.15484 0.274596i
\(497\) −7.11636 12.3259i −0.319212 0.552892i
\(498\) 0.701150 + 8.57080i 0.0314193 + 0.384067i
\(499\) 9.38014 + 35.0072i 0.419913 + 1.56714i 0.774787 + 0.632222i \(0.217857\pi\)
−0.354875 + 0.934914i \(0.615476\pi\)
\(500\) −4.24170 10.6656i −0.189695 0.476981i
\(501\) −17.4405 + 18.2715i −0.779185 + 0.816310i
\(502\) −5.10530 1.05319i −0.227861 0.0470060i
\(503\) 37.1847i 1.65798i 0.559261 + 0.828992i \(0.311085\pi\)
−0.559261 + 0.828992i \(0.688915\pi\)
\(504\) −5.66851 25.1586i −0.252496 1.12065i
\(505\) 25.5043i 1.13493i
\(506\) −4.80536 + 23.2939i −0.213625 + 1.03554i
\(507\) 5.29018 + 18.0524i 0.234945 + 0.801737i
\(508\) 11.2150 26.0254i 0.497584 1.15469i
\(509\) −2.85800 10.6662i −0.126679 0.472771i 0.873215 0.487335i \(-0.162031\pi\)
−0.999894 + 0.0145635i \(0.995364\pi\)
\(510\) −1.23549 1.78582i −0.0547085 0.0790775i
\(511\) −23.0387 39.9042i −1.01917 1.76526i
\(512\) −11.3460 19.5773i −0.501425 0.865201i
\(513\) −0.117326 1.67832i −0.00518008 0.0740995i
\(514\) 2.32780 + 39.8413i 0.102675 + 1.75732i
\(515\) −37.4704 10.0402i −1.65115 0.442423i
\(516\) 7.61489 5.95381i 0.335227 0.262102i
\(517\) 63.4534 17.0023i 2.79068 0.747759i
\(518\) −7.16246 + 2.37484i −0.314701 + 0.104344i
\(519\) −12.7174 + 23.2606i −0.558233 + 1.02103i
\(520\) 10.8249 9.09331i 0.474704 0.398768i
\(521\) 38.7570i 1.69797i −0.528413 0.848987i \(-0.677213\pi\)
0.528413 0.848987i \(-0.322787\pi\)
\(522\) 7.09562 + 1.12260i 0.310567 + 0.0491348i
\(523\) −11.9219 11.9219i −0.521310 0.521310i 0.396657 0.917967i \(-0.370170\pi\)
−0.917967 + 0.396657i \(0.870170\pi\)
\(524\) −17.8622 2.60975i −0.780315 0.114008i
\(525\) 25.4344 + 24.2777i 1.11005 + 1.05957i
\(526\) 3.79071 7.55136i 0.165283 0.329255i
\(527\) −0.857236 + 1.48478i −0.0373418 + 0.0646779i
\(528\) 9.49912 + 36.1873i 0.413396 + 1.57485i
\(529\) −6.65032 11.5187i −0.289144 0.500812i
\(530\) −8.48313 + 0.495644i −0.368484 + 0.0215294i
\(531\) −2.20085 0.481235i −0.0955089 0.0208838i
\(532\) −1.54428 1.22014i −0.0669528 0.0528996i
\(533\) −3.86932 + 14.4405i −0.167599 + 0.625487i
\(534\) 36.3153 12.9861i 1.57152 0.561965i
\(535\) −28.5329 16.4735i −1.23358 0.712210i
\(536\) −4.07211 + 1.90158i −0.175888 + 0.0821356i
\(537\) −16.5598 27.2009i −0.714610 1.17381i
\(538\) 3.00988 14.5903i 0.129765 0.629034i
\(539\) 8.54307 + 8.54307i 0.367976 + 0.367976i
\(540\) −23.1534 26.9311i −0.996364 1.15893i
\(541\) 15.9175 15.9175i 0.684346 0.684346i −0.276630 0.960976i \(-0.589218\pi\)
0.960976 + 0.276630i \(0.0892177\pi\)
\(542\) −14.9414 + 9.83105i −0.641790 + 0.422280i
\(543\) −26.6627 + 16.2322i −1.14421 + 0.696590i
\(544\) 1.42819 + 0.337108i 0.0612331 + 0.0144534i
\(545\) −17.1146 + 29.6433i −0.733108 + 1.26978i
\(546\) −4.65724 + 9.84215i −0.199312 + 0.421205i
\(547\) −15.4827 4.14859i −0.661994 0.177381i −0.0878483 0.996134i \(-0.527999\pi\)
−0.574146 + 0.818753i \(0.694666\pi\)
\(548\) −2.28166 19.4591i −0.0974677 0.831251i
\(549\) −10.0136 9.12253i −0.427368 0.389340i
\(550\) −38.1117 33.9041i −1.62509 1.44567i
\(551\) 0.474792 0.274121i 0.0202268 0.0116780i
\(552\) 12.7029 + 8.45115i 0.540670 + 0.359705i
\(553\) −3.88525 2.24315i −0.165218 0.0953884i
\(554\) 10.5289 + 31.7551i 0.447332 + 1.34914i
\(555\) −7.17523 + 7.51711i −0.304572 + 0.319083i
\(556\) 0.159325 1.09049i 0.00675688 0.0462469i
\(557\) 0.878593 0.878593i 0.0372272 0.0372272i −0.688248 0.725475i \(-0.741620\pi\)
0.725475 + 0.688248i \(0.241620\pi\)
\(558\) −11.4007 + 25.6180i −0.482629 + 1.08450i
\(559\) −4.08112 −0.172613
\(560\) −41.5304 1.17799i −1.75498 0.0497793i
\(561\) −2.12892 1.16396i −0.0898830 0.0491423i
\(562\) 15.3042 30.4871i 0.645569 1.28602i
\(563\) −4.88030 18.2135i −0.205680 0.767609i −0.989241 0.146294i \(-0.953265\pi\)
0.783561 0.621315i \(-0.213401\pi\)
\(564\) 5.12056 41.8279i 0.215614 1.76127i
\(565\) −5.70232 + 21.2813i −0.239898 + 0.895313i
\(566\) −1.99239 + 2.23966i −0.0837464 + 0.0941398i
\(567\) 24.8573 + 11.4164i 1.04391 + 0.479442i
\(568\) 13.0428 2.30717i 0.547262 0.0968068i
\(569\) 23.9512 13.8282i 1.00409 0.579710i 0.0946316 0.995512i \(-0.469833\pi\)
0.909455 + 0.415803i \(0.136499\pi\)
\(570\) −2.66653 0.485708i −0.111689 0.0203441i
\(571\) 24.9864 6.69509i 1.04565 0.280181i 0.305197 0.952289i \(-0.401278\pi\)
0.740453 + 0.672108i \(0.234611\pi\)
\(572\) 6.25125 14.5066i 0.261378 0.606552i
\(573\) −4.84820 + 1.42074i −0.202537 + 0.0593524i
\(574\) 36.7025 24.1493i 1.53193 1.00797i
\(575\) −20.8019 −0.867501
\(576\) 23.8070 + 3.03758i 0.991958 + 0.126566i
\(577\) −13.3014 −0.553744 −0.276872 0.960907i \(-0.589298\pi\)
−0.276872 + 0.960907i \(0.589298\pi\)
\(578\) 20.0046 13.1625i 0.832080 0.547486i
\(579\) 3.34365 + 3.19159i 0.138957 + 0.132638i
\(580\) 4.58010 10.6286i 0.190178 0.441327i
\(581\) −10.3065 + 2.76161i −0.427585 + 0.114571i
\(582\) 18.8414 22.1988i 0.781001 0.920169i
\(583\) −8.22260 + 4.74732i −0.340545 + 0.196614i
\(584\) 42.2251 7.46932i 1.74729 0.309083i
\(585\) 0.697452 + 14.9788i 0.0288361 + 0.619297i
\(586\) 1.93055 2.17014i 0.0797503 0.0896477i
\(587\) 8.65445 32.2988i 0.357207 1.33312i −0.520477 0.853876i \(-0.674246\pi\)
0.877684 0.479240i \(-0.159088\pi\)
\(588\) 7.13302 3.03081i 0.294161 0.124989i
\(589\) 0.553851 + 2.06700i 0.0228211 + 0.0851693i
\(590\) −1.62828 + 3.24365i −0.0670352 + 0.133539i
\(591\) −22.8980 + 13.9402i −0.941896 + 0.573424i
\(592\) 0.199107 7.01955i 0.00818324 0.288502i
\(593\) 25.3926 1.04275 0.521374 0.853328i \(-0.325420\pi\)
0.521374 + 0.853328i \(0.325420\pi\)
\(594\) −36.6203 15.2866i −1.50255 0.627215i
\(595\) 1.90524 1.90524i 0.0781073 0.0781073i
\(596\) −3.30803 + 22.6415i −0.135502 + 0.927432i
\(597\) 7.66450 + 1.86373i 0.313687 + 0.0762775i
\(598\) −2.02734 6.11441i −0.0829040 0.250037i
\(599\) −4.74083 2.73712i −0.193705 0.111836i 0.400011 0.916510i \(-0.369006\pi\)
−0.593716 + 0.804675i \(0.702340\pi\)
\(600\) −29.3184 + 14.5311i −1.19692 + 0.593228i
\(601\) 2.04493 1.18064i 0.0834143 0.0481593i −0.457713 0.889100i \(-0.651331\pi\)
0.541127 + 0.840941i \(0.317998\pi\)
\(602\) 8.96099 + 7.97167i 0.365223 + 0.324901i
\(603\) 1.01825 4.65682i 0.0414665 0.189640i
\(604\) −0.115047 0.981179i −0.00468121 0.0399236i
\(605\) −59.9524 16.0642i −2.43741 0.653103i
\(606\) −18.2193 + 1.49046i −0.740108 + 0.0605459i
\(607\) −2.67439 + 4.63219i −0.108550 + 0.188015i −0.915183 0.403038i \(-0.867954\pi\)
0.806633 + 0.591053i \(0.201288\pi\)
\(608\) 1.55801 0.962962i 0.0631855 0.0390532i
\(609\) 0.207353 + 8.91123i 0.00840237 + 0.361101i
\(610\) −18.2305 + 11.9952i −0.738132 + 0.485670i
\(611\) −12.5808 + 12.5808i −0.508963 + 0.508963i
\(612\) −1.20352 + 0.986951i −0.0486495 + 0.0398951i
\(613\) −0.799430 0.799430i −0.0322887 0.0322887i 0.690778 0.723067i \(-0.257268\pi\)
−0.723067 + 0.690778i \(0.757268\pi\)
\(614\) −2.47972 + 12.0204i −0.100073 + 0.485104i
\(615\) 29.0253 53.0883i 1.17041 2.14073i
\(616\) −42.0618 + 19.6418i −1.69472 + 0.791392i
\(617\) 19.2117 + 11.0919i 0.773432 + 0.446541i 0.834098 0.551617i \(-0.185989\pi\)
−0.0606655 + 0.998158i \(0.519322\pi\)
\(618\) −4.98256 + 27.3542i −0.200428 + 1.10035i
\(619\) −11.4867 + 42.8691i −0.461691 + 1.72305i 0.205943 + 0.978564i \(0.433974\pi\)
−0.667634 + 0.744490i \(0.732693\pi\)
\(620\) 35.4452 + 28.0053i 1.42351 + 1.12472i
\(621\) −15.3012 + 5.26830i −0.614018 + 0.211410i
\(622\) −31.2548 + 1.82612i −1.25320 + 0.0732208i
\(623\) 23.9269 + 41.4426i 0.958611 + 1.66036i
\(624\) −7.12853 7.20150i −0.285369 0.288291i
\(625\) −6.89166 + 11.9367i −0.275666 + 0.477468i
\(626\) −2.84465 + 5.66675i −0.113695 + 0.226489i
\(627\) −2.90621 + 0.851650i −0.116063 + 0.0340116i
\(628\) 28.3812 + 4.14663i 1.13253 + 0.165468i
\(629\) 0.322028 + 0.322028i 0.0128401 + 0.0128401i
\(630\) 27.7267 34.2515i 1.10466 1.36461i
\(631\) 12.0156i 0.478334i 0.970978 + 0.239167i \(0.0768744\pi\)
−0.970978 + 0.239167i \(0.923126\pi\)
\(632\) 3.19679 2.68542i 0.127162 0.106820i
\(633\) −14.1962 + 0.330327i −0.564247 + 0.0131293i
\(634\) 0.0870993 0.0288793i 0.00345916 0.00114694i
\(635\) 46.7742 12.5331i 1.85618 0.497361i
\(636\) 0.849821 + 6.03107i 0.0336976 + 0.239147i
\(637\) −3.16071 0.846909i −0.125232 0.0335557i
\(638\) −0.754251 12.9093i −0.0298611 0.511084i
\(639\) −6.45086 + 12.4801i −0.255192 + 0.493705i
\(640\) 14.2292 35.9511i 0.562458 1.42109i
\(641\) −8.47322 14.6760i −0.334672 0.579669i 0.648750 0.761002i \(-0.275292\pi\)
−0.983422 + 0.181333i \(0.941959\pi\)
\(642\) −10.1006 + 21.3455i −0.398638 + 0.842441i
\(643\) −5.96216 22.2511i −0.235124 0.877496i −0.978093 0.208170i \(-0.933249\pi\)
0.742968 0.669327i \(-0.233417\pi\)
\(644\) −7.49183 + 17.3855i −0.295220 + 0.685085i
\(645\) 16.0494 + 3.90263i 0.631943 + 0.153666i
\(646\) −0.0239985 + 0.116332i −0.000944207 + 0.00457703i
\(647\) 30.4726i 1.19800i −0.800749 0.599000i \(-0.795565\pi\)
0.800749 0.599000i \(-0.204435\pi\)
\(648\) −17.8855 + 18.1138i −0.702609 + 0.711576i
\(649\) 4.05524i 0.159182i
\(650\) 13.5305 + 2.79125i 0.530710 + 0.109482i
\(651\) −33.8069 8.22063i −1.32500 0.322192i
\(652\) 12.0137 + 30.2080i 0.470492 + 1.18304i
\(653\) 7.67978 + 28.6613i 0.300533 + 1.12160i 0.936723 + 0.350072i \(0.113843\pi\)
−0.636190 + 0.771533i \(0.719490\pi\)
\(654\) 22.1763 + 10.4937i 0.867160 + 0.410335i
\(655\) −15.4231 26.7135i −0.602629 1.04378i
\(656\) 9.45821 + 39.7776i 0.369281 + 1.55305i
\(657\) −20.8842 + 40.4035i −0.814771 + 1.57629i
\(658\) 52.1978 3.04976i 2.03488 0.118892i
\(659\) −31.3170 8.39137i −1.21994 0.326882i −0.409284 0.912407i \(-0.634222\pi\)
−0.810654 + 0.585525i \(0.800888\pi\)
\(660\) −38.4557 + 51.0706i −1.49689 + 1.98792i
\(661\) 2.79494 0.748903i 0.108711 0.0291290i −0.204054 0.978960i \(-0.565412\pi\)
0.312764 + 0.949831i \(0.398745\pi\)
\(662\) −3.84691 11.6022i −0.149514 0.450933i
\(663\) 0.656968 0.0152868i 0.0255145 0.000593691i
\(664\) 0.860007 9.89245i 0.0333747 0.383902i
\(665\) 3.36304i 0.130413i
\(666\) 5.78926 + 4.68642i 0.224329 + 0.181595i
\(667\) −3.72888 3.72888i −0.144383 0.144383i
\(668\) 23.3889 17.4257i 0.904942 0.674219i
\(669\) −6.54985 + 1.91940i −0.253232 + 0.0742083i
\(670\) −6.86329 3.44530i −0.265152 0.133104i
\(671\) −12.1917 + 21.1166i −0.470654 + 0.815197i
\(672\) 1.58551 + 29.7366i 0.0611625 + 1.14711i
\(673\) −5.83527 10.1070i −0.224933 0.389595i 0.731366 0.681985i \(-0.238883\pi\)
−0.956299 + 0.292389i \(0.905550\pi\)
\(674\) 2.58578 + 44.2566i 0.0996005 + 1.70470i
\(675\) 6.62303 34.0690i 0.254920 1.31131i
\(676\) −2.52964 21.5740i −0.0972938 0.829768i
\(677\) −12.1843 + 45.4726i −0.468282 + 1.74765i 0.177489 + 0.984123i \(0.443202\pi\)
−0.645772 + 0.763531i \(0.723464\pi\)
\(678\) 15.5358 + 2.82984i 0.596650 + 0.108680i
\(679\) 31.2874 + 18.0638i 1.20070 + 0.693225i
\(680\) 1.06095 + 2.27197i 0.0406858 + 0.0871260i
\(681\) −9.60955 + 17.5762i −0.368239 + 0.673522i
\(682\) 49.4330 + 10.1977i 1.89289 + 0.390489i
\(683\) 19.7598 + 19.7598i 0.756087 + 0.756087i 0.975608 0.219521i \(-0.0704495\pi\)
−0.219521 + 0.975608i \(0.570449\pi\)
\(684\) −0.191140 + 1.93326i −0.00730842 + 0.0739199i
\(685\) 23.6729 23.6729i 0.904495 0.904495i
\(686\) −11.2522 17.1013i −0.429610 0.652930i
\(687\) −0.557861 23.9747i −0.0212837 0.914692i
\(688\) −9.82049 + 5.30444i −0.374403 + 0.202230i
\(689\) 1.28576 2.22700i 0.0489835 0.0848420i
\(690\) 2.12568 + 25.9841i 0.0809232 + 0.989198i
\(691\) −25.6957 6.88515i −0.977511 0.261923i −0.265515 0.964107i \(-0.585542\pi\)
−0.711996 + 0.702183i \(0.752209\pi\)
\(692\) 18.9774 24.0189i 0.721414 0.913063i
\(693\) 10.5178 48.1014i 0.399537 1.82722i
\(694\) 2.39788 2.69547i 0.0910222 0.102318i
\(695\) 1.63086 0.941575i 0.0618619 0.0357160i
\(696\) −7.86030 2.65072i −0.297944 0.100475i
\(697\) −2.29634 1.32579i −0.0869800 0.0502179i
\(698\) 8.04209 2.66649i 0.304398 0.100928i
\(699\) −10.1314 2.46360i −0.383206 0.0931820i
\(700\) −24.2570 32.5580i −0.916829 1.23058i
\(701\) −32.6887 + 32.6887i −1.23463 + 1.23463i −0.272471 + 0.962164i \(0.587841\pi\)
−0.962164 + 0.272471i \(0.912159\pi\)
\(702\) 10.6595 1.37359i 0.402318 0.0518428i
\(703\) 0.568427 0.0214386
\(704\) −3.81247 43.0326i −0.143688 1.62185i
\(705\) 61.5054 37.4444i 2.31643 1.41024i
\(706\) −0.326827 0.164064i −0.0123003 0.00617462i
\(707\) −5.87047 21.9089i −0.220782 0.823969i
\(708\) 2.41230 + 0.973623i 0.0906597 + 0.0365910i
\(709\) 11.4514 42.7374i 0.430068 1.60504i −0.322533 0.946558i \(-0.604534\pi\)
0.752601 0.658477i \(-0.228799\pi\)
\(710\) 16.9100 + 15.0431i 0.634623 + 0.564558i
\(711\) 0.205970 + 4.42351i 0.00772449 + 0.165894i
\(712\) −43.8529 + 7.75727i −1.64346 + 0.290716i
\(713\) 17.8258 10.2917i 0.667581 0.385428i
\(714\) −1.47238 1.24969i −0.0551023 0.0467685i
\(715\) 26.0721 6.98599i 0.975040 0.261261i
\(716\) 13.5888 + 34.1687i 0.507838 + 1.27694i
\(717\) 19.8703 + 18.9666i 0.742069 + 0.708320i
\(718\) 8.79008 + 13.3593i 0.328043 + 0.498566i
\(719\) 5.93945 0.221504 0.110752 0.993848i \(-0.464674\pi\)
0.110752 + 0.993848i \(0.464674\pi\)
\(720\) 21.1470 + 35.1373i 0.788101 + 1.30949i
\(721\) −34.4992 −1.28482
\(722\) −14.6880 22.3231i −0.546629 0.830778i
\(723\) 25.6075 7.50416i 0.952355 0.279083i
\(724\) 33.4927 13.3200i 1.24474 0.495033i
\(725\) 10.9244 2.92719i 0.405722 0.108713i
\(726\) −7.97206 + 43.7665i −0.295871 + 1.62433i
\(727\) −8.81201 + 5.08761i −0.326819 + 0.188689i −0.654428 0.756124i \(-0.727091\pi\)
0.327609 + 0.944813i \(0.393757\pi\)
\(728\) 7.20585 10.3031i 0.267067 0.381856i
\(729\) −3.75663 26.7374i −0.139134 0.990274i
\(730\) 54.7451 + 48.7011i 2.02621 + 1.80251i
\(731\) 0.187345 0.699183i 0.00692922 0.0258602i
\(732\) 9.63429 + 12.3222i 0.356093 + 0.455441i
\(733\) −8.23211 30.7227i −0.304060 1.13477i −0.933752 0.357922i \(-0.883485\pi\)
0.629692 0.776845i \(-0.283181\pi\)
\(734\) −35.5301 17.8357i −1.31144 0.658329i
\(735\) 11.6199 + 6.35301i 0.428605 + 0.234334i
\(736\) −12.8256 12.0782i −0.472759 0.445208i
\(737\) −8.58056 −0.316069
\(738\) −39.6205 17.6321i −1.45845 0.649048i
\(739\) −24.0006 + 24.0006i −0.882876 + 0.882876i −0.993826 0.110950i \(-0.964611\pi\)
0.110950 + 0.993826i \(0.464611\pi\)
\(740\) 9.62245 7.16912i 0.353728 0.263542i
\(741\) 0.566332 0.593315i 0.0208047 0.0217960i
\(742\) −7.17317 + 2.37839i −0.263335 + 0.0873133i
\(743\) −8.54415 4.93297i −0.313454 0.180973i 0.335017 0.942212i \(-0.391258\pi\)
−0.648471 + 0.761239i \(0.724591\pi\)
\(744\) 17.9345 26.9573i 0.657512 0.988303i
\(745\) −33.8611 + 19.5497i −1.24057 + 0.716246i
\(746\) 28.2087 31.7095i 1.03279 1.16097i
\(747\) 7.78566 + 7.09287i 0.284862 + 0.259515i
\(748\) 2.19832 + 1.73690i 0.0803787 + 0.0635074i
\(749\) −28.3024 7.58360i −1.03415 0.277099i
\(750\) −12.7070 6.01286i −0.463993 0.219558i
\(751\) 22.9226 39.7031i 0.836458 1.44879i −0.0563807 0.998409i \(-0.517956\pi\)
0.892838 0.450378i \(-0.148711\pi\)
\(752\) −13.9215 + 46.6252i −0.507665 + 1.70025i
\(753\) −5.45325 + 3.31993i −0.198728 + 0.120985i
\(754\) 1.92509 + 2.92578i 0.0701075 + 0.106551i
\(755\) 1.19365 1.19365i 0.0434414 0.0434414i
\(756\) −26.0883 17.8053i −0.948823 0.647571i
\(757\) −13.9071 13.9071i −0.505462 0.505462i 0.407668 0.913130i \(-0.366342\pi\)
−0.913130 + 0.407668i \(0.866342\pi\)
\(758\) −45.0380 9.29102i −1.63586 0.337465i
\(759\) 15.1478 + 24.8815i 0.549831 + 0.903143i
\(760\) 2.94155 + 1.06881i 0.106701 + 0.0387698i
\(761\) 23.7610 + 13.7184i 0.861334 + 0.497291i 0.864459 0.502704i \(-0.167661\pi\)
−0.00312490 + 0.999995i \(0.500995\pi\)
\(762\) −11.6867 32.6813i −0.423363 1.18392i
\(763\) −7.87873 + 29.4038i −0.285229 + 1.06449i
\(764\) 5.79396 0.679365i 0.209618 0.0245786i
\(765\) −2.59820 0.568118i −0.0939381 0.0205404i
\(766\) 0.223395 + 3.82349i 0.00807158 + 0.138148i
\(767\) −0.549159 0.951172i −0.0198290 0.0343448i
\(768\) −26.5137 8.06382i −0.956730 0.290978i
\(769\) −0.377145 + 0.653234i −0.0136002 + 0.0235562i −0.872745 0.488176i \(-0.837663\pi\)
0.859145 + 0.511732i \(0.170996\pi\)
\(770\) −70.8926 35.5873i −2.55479 1.28248i
\(771\) 35.3570 + 33.7490i 1.27335 + 1.21544i
\(772\) −3.18887 4.28012i −0.114770 0.154045i