Properties

Label 65.2.t.a.7.4
Level $65$
Weight $2$
Character 65.7
Analytic conductor $0.519$
Analytic rank $0$
Dimension $20$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 65 = 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 65.t (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.519027613138\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(5\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} + \cdots)\)
Defining polynomial: \(x^{20} + 26 x^{18} + 279 x^{16} + 1604 x^{14} + 5353 x^{12} + 10466 x^{10} + 11441 x^{8} + 6176 x^{6} + 1263 x^{4} + 78 x^{2} + 1\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 7.4
Root \(-0.274809i\) of defining polynomial
Character \(\chi\) \(=\) 65.7
Dual form 65.2.t.a.28.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.237991 - 0.137404i) q^{2} +(0.611610 + 2.28256i) q^{3} +(-0.962240 - 1.66665i) q^{4} +(1.45395 + 1.69883i) q^{5} +(0.168076 - 0.627267i) q^{6} +(-0.193052 - 0.334376i) q^{7} +1.07848i q^{8} +(-2.23793 + 1.29207i) q^{9} +O(q^{10})\) \(q+(-0.237991 - 0.137404i) q^{2} +(0.611610 + 2.28256i) q^{3} +(-0.962240 - 1.66665i) q^{4} +(1.45395 + 1.69883i) q^{5} +(0.168076 - 0.627267i) q^{6} +(-0.193052 - 0.334376i) q^{7} +1.07848i q^{8} +(-2.23793 + 1.29207i) q^{9} +(-0.112600 - 0.604086i) q^{10} +(-1.12873 - 4.21249i) q^{11} +(3.21571 - 3.21571i) q^{12} +(-1.35750 - 3.34024i) q^{13} +0.106105i q^{14} +(-2.98844 + 4.35775i) q^{15} +(-1.77629 + 3.07663i) q^{16} +(1.90527 + 0.510514i) q^{17} +0.710144 q^{18} +(-4.83947 - 1.29673i) q^{19} +(1.43231 - 4.05791i) q^{20} +(0.645159 - 0.645159i) q^{21} +(-0.310185 + 1.15763i) q^{22} +(0.322241 - 0.0863441i) q^{23} +(-2.46170 + 0.659609i) q^{24} +(-0.772064 + 4.94003i) q^{25} +(-0.135891 + 0.981474i) q^{26} +(0.694880 + 0.694880i) q^{27} +(-0.371524 + 0.643499i) q^{28} +(7.07031 + 4.08205i) q^{29} +(1.30999 - 0.626482i) q^{30} +(-2.54187 - 2.54187i) q^{31} +(2.71347 - 1.56662i) q^{32} +(8.92491 - 5.15280i) q^{33} +(-0.383290 - 0.383290i) q^{34} +(0.287361 - 0.814128i) q^{35} +(4.30685 + 2.48656i) q^{36} +(-2.41251 + 4.17859i) q^{37} +(0.973575 + 0.973575i) q^{38} +(6.79403 - 5.14149i) q^{39} +(-1.83216 + 1.56806i) q^{40} +(4.49768 - 1.20515i) q^{41} +(-0.242190 + 0.0648946i) q^{42} +(-1.76471 + 6.58600i) q^{43} +(-5.93462 + 5.93462i) q^{44} +(-5.44885 - 1.92327i) q^{45} +(-0.0885545 - 0.0237281i) q^{46} -9.83310 q^{47} +(-8.10898 - 2.17280i) q^{48} +(3.42546 - 5.93307i) q^{49} +(0.862526 - 1.06960i) q^{50} +4.66112i q^{51} +(-4.26077 + 5.47658i) q^{52} +(-7.17155 + 7.17155i) q^{53} +(-0.0698958 - 0.260855i) q^{54} +(5.51519 - 8.04227i) q^{55} +(0.360618 - 0.208203i) q^{56} -11.8395i q^{57} +(-1.12178 - 1.94298i) q^{58} +(-0.628209 + 2.34451i) q^{59} +(10.1384 + 0.787474i) q^{60} +(-5.32338 - 9.22037i) q^{61} +(0.255679 + 0.954209i) q^{62} +(0.864073 + 0.498873i) q^{63} +6.24413 q^{64} +(3.70078 - 7.16270i) q^{65} -2.83207 q^{66} +(5.52170 + 3.18796i) q^{67} +(-0.982475 - 3.66665i) q^{68} +(0.394171 + 0.682724i) q^{69} +(-0.180254 + 0.154271i) q^{70} +(-1.12684 + 4.20542i) q^{71} +(-1.39347 - 2.41357i) q^{72} -6.08593i q^{73} +(1.14831 - 0.662979i) q^{74} +(-11.7481 + 1.25909i) q^{75} +(2.49554 + 9.31346i) q^{76} +(-1.19065 + 1.19065i) q^{77} +(-2.32338 + 0.290100i) q^{78} -3.34944i q^{79} +(-7.80932 + 1.45564i) q^{80} +(-5.03732 + 8.72489i) q^{81} +(-1.23600 - 0.331185i) q^{82} +5.18834 q^{83} +(-1.69605 - 0.454456i) q^{84} +(1.90288 + 3.97899i) q^{85} +(1.32493 - 1.32493i) q^{86} +(-4.99324 + 18.6350i) q^{87} +(4.54309 - 1.21732i) q^{88} +(4.82829 - 1.29374i) q^{89} +(1.03251 + 1.20642i) q^{90} +(-0.854827 + 1.09875i) q^{91} +(-0.453978 - 0.453978i) q^{92} +(4.24734 - 7.35661i) q^{93} +(2.34019 + 1.35111i) q^{94} +(-4.83341 - 10.1068i) q^{95} +(5.23549 + 5.23549i) q^{96} +(12.7722 - 7.37402i) q^{97} +(-1.63046 + 0.941346i) q^{98} +(7.96886 + 7.96886i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20 q - 6 q^{2} - 2 q^{3} + 6 q^{4} - 8 q^{6} - 2 q^{7} + 12 q^{9} + O(q^{10}) \) \( 20 q - 6 q^{2} - 2 q^{3} + 6 q^{4} - 8 q^{6} - 2 q^{7} + 12 q^{9} - 2 q^{10} - 16 q^{11} - 24 q^{12} - 4 q^{13} - 20 q^{15} - 2 q^{16} + 4 q^{17} - 20 q^{19} + 4 q^{21} + 16 q^{22} - 10 q^{23} + 32 q^{24} + 18 q^{25} - 24 q^{26} + 4 q^{27} + 18 q^{28} - 26 q^{30} + 48 q^{32} + 18 q^{33} + 2 q^{34} + 40 q^{35} + 36 q^{36} - 4 q^{37} - 8 q^{38} + 4 q^{39} - 16 q^{40} + 10 q^{41} + 40 q^{42} + 10 q^{43} - 36 q^{44} + 4 q^{46} - 40 q^{47} - 56 q^{48} + 18 q^{49} + 36 q^{50} - 30 q^{52} - 10 q^{53} - 48 q^{54} - 10 q^{55} - 16 q^{59} + 28 q^{60} - 16 q^{61} - 44 q^{62} - 36 q^{63} + 20 q^{64} - 14 q^{65} - 32 q^{66} + 18 q^{67} + 22 q^{68} - 16 q^{69} - 12 q^{70} - 16 q^{71} + 4 q^{72} + 18 q^{74} - 38 q^{75} - 64 q^{76} - 28 q^{77} + 68 q^{78} - 2 q^{80} - 14 q^{81} + 56 q^{82} + 48 q^{83} - 40 q^{84} - 26 q^{85} + 60 q^{86} - 34 q^{87} + 82 q^{88} - 6 q^{89} + 46 q^{90} + 8 q^{91} - 8 q^{92} + 32 q^{93} - 48 q^{94} - 26 q^{95} + 56 q^{96} + 66 q^{97} - 30 q^{98} + 60 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/65\mathbb{Z}\right)^\times\).

\(n\) \(27\) \(41\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{11}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.237991 0.137404i −0.168285 0.0971595i 0.413492 0.910508i \(-0.364309\pi\)
−0.581777 + 0.813348i \(0.697642\pi\)
\(3\) 0.611610 + 2.28256i 0.353113 + 1.31784i 0.882842 + 0.469669i \(0.155627\pi\)
−0.529729 + 0.848167i \(0.677707\pi\)
\(4\) −0.962240 1.66665i −0.481120 0.833324i
\(5\) 1.45395 + 1.69883i 0.650226 + 0.759741i
\(6\) 0.168076 0.627267i 0.0686166 0.256081i
\(7\) −0.193052 0.334376i −0.0729667 0.126382i 0.827234 0.561858i \(-0.189913\pi\)
−0.900200 + 0.435476i \(0.856580\pi\)
\(8\) 1.07848i 0.381301i
\(9\) −2.23793 + 1.29207i −0.745977 + 0.430690i
\(10\) −0.112600 0.604086i −0.0356073 0.191029i
\(11\) −1.12873 4.21249i −0.340326 1.27011i −0.897979 0.440039i \(-0.854965\pi\)
0.557653 0.830074i \(-0.311702\pi\)
\(12\) 3.21571 3.21571i 0.928295 0.928295i
\(13\) −1.35750 3.34024i −0.376502 0.926416i
\(14\) 0.106105i 0.0283576i
\(15\) −2.98844 + 4.35775i −0.771611 + 1.12517i
\(16\) −1.77629 + 3.07663i −0.444073 + 0.769157i
\(17\) 1.90527 + 0.510514i 0.462095 + 0.123818i 0.482353 0.875977i \(-0.339782\pi\)
−0.0202583 + 0.999795i \(0.506449\pi\)
\(18\) 0.710144 0.167383
\(19\) −4.83947 1.29673i −1.11025 0.297491i −0.343318 0.939219i \(-0.611551\pi\)
−0.766932 + 0.641728i \(0.778218\pi\)
\(20\) 1.43231 4.05791i 0.320274 0.907376i
\(21\) 0.645159 0.645159i 0.140785 0.140785i
\(22\) −0.310185 + 1.15763i −0.0661318 + 0.246807i
\(23\) 0.322241 0.0863441i 0.0671918 0.0180040i −0.225067 0.974343i \(-0.572260\pi\)
0.292258 + 0.956339i \(0.405593\pi\)
\(24\) −2.46170 + 0.659609i −0.502492 + 0.134642i
\(25\) −0.772064 + 4.94003i −0.154413 + 0.988006i
\(26\) −0.135891 + 0.981474i −0.0266504 + 0.192483i
\(27\) 0.694880 + 0.694880i 0.133730 + 0.133730i
\(28\) −0.371524 + 0.643499i −0.0702115 + 0.121610i
\(29\) 7.07031 + 4.08205i 1.31292 + 0.758017i 0.982579 0.185843i \(-0.0595016\pi\)
0.330345 + 0.943860i \(0.392835\pi\)
\(30\) 1.30999 0.626482i 0.239171 0.114379i
\(31\) −2.54187 2.54187i −0.456534 0.456534i 0.440982 0.897516i \(-0.354630\pi\)
−0.897516 + 0.440982i \(0.854630\pi\)
\(32\) 2.71347 1.56662i 0.479678 0.276942i
\(33\) 8.92491 5.15280i 1.55363 0.896987i
\(34\) −0.383290 0.383290i −0.0657336 0.0657336i
\(35\) 0.287361 0.814128i 0.0485728 0.137613i
\(36\) 4.30685 + 2.48656i 0.717809 + 0.414427i
\(37\) −2.41251 + 4.17859i −0.396614 + 0.686956i −0.993306 0.115514i \(-0.963148\pi\)
0.596691 + 0.802471i \(0.296482\pi\)
\(38\) 0.973575 + 0.973575i 0.157935 + 0.157935i
\(39\) 6.79403 5.14149i 1.08792 0.823297i
\(40\) −1.83216 + 1.56806i −0.289690 + 0.247931i
\(41\) 4.49768 1.20515i 0.702419 0.188213i 0.110105 0.993920i \(-0.464881\pi\)
0.592314 + 0.805707i \(0.298214\pi\)
\(42\) −0.242190 + 0.0648946i −0.0373707 + 0.0100135i
\(43\) −1.76471 + 6.58600i −0.269116 + 1.00436i 0.690566 + 0.723269i \(0.257362\pi\)
−0.959682 + 0.281087i \(0.909305\pi\)
\(44\) −5.93462 + 5.93462i −0.894678 + 0.894678i
\(45\) −5.44885 1.92327i −0.812267 0.286704i
\(46\) −0.0885545 0.0237281i −0.0130566 0.00349852i
\(47\) −9.83310 −1.43430 −0.717152 0.696917i \(-0.754555\pi\)
−0.717152 + 0.696917i \(0.754555\pi\)
\(48\) −8.10898 2.17280i −1.17043 0.313616i
\(49\) 3.42546 5.93307i 0.489352 0.847582i
\(50\) 0.862526 1.06960i 0.121980 0.151264i
\(51\) 4.66112i 0.652687i
\(52\) −4.26077 + 5.47658i −0.590862 + 0.759466i
\(53\) −7.17155 + 7.17155i −0.985088 + 0.985088i −0.999890 0.0148021i \(-0.995288\pi\)
0.0148021 + 0.999890i \(0.495288\pi\)
\(54\) −0.0698958 0.260855i −0.00951161 0.0354978i
\(55\) 5.51519 8.04227i 0.743668 1.08442i
\(56\) 0.360618 0.208203i 0.0481896 0.0278223i
\(57\) 11.8395i 1.56818i
\(58\) −1.12178 1.94298i −0.147297 0.255126i
\(59\) −0.628209 + 2.34451i −0.0817858 + 0.305229i −0.994686 0.102954i \(-0.967171\pi\)
0.912900 + 0.408183i \(0.133837\pi\)
\(60\) 10.1384 + 0.787474i 1.30887 + 0.101662i
\(61\) −5.32338 9.22037i −0.681589 1.18055i −0.974496 0.224406i \(-0.927956\pi\)
0.292906 0.956141i \(-0.405378\pi\)
\(62\) 0.255679 + 0.954209i 0.0324713 + 0.121185i
\(63\) 0.864073 + 0.498873i 0.108863 + 0.0628521i
\(64\) 6.24413 0.780516
\(65\) 3.70078 7.16270i 0.459025 0.888424i
\(66\) −2.83207 −0.348603
\(67\) 5.52170 + 3.18796i 0.674583 + 0.389471i 0.797811 0.602908i \(-0.205991\pi\)
−0.123228 + 0.992378i \(0.539325\pi\)
\(68\) −0.982475 3.66665i −0.119143 0.444646i
\(69\) 0.394171 + 0.682724i 0.0474526 + 0.0821903i
\(70\) −0.180254 + 0.154271i −0.0215445 + 0.0184389i
\(71\) −1.12684 + 4.20542i −0.133731 + 0.499091i −1.00000 0.000486883i \(-0.999845\pi\)
0.866269 + 0.499578i \(0.166512\pi\)
\(72\) −1.39347 2.41357i −0.164222 0.284442i
\(73\) 6.08593i 0.712304i −0.934428 0.356152i \(-0.884088\pi\)
0.934428 0.356152i \(-0.115912\pi\)
\(74\) 1.14831 0.662979i 0.133489 0.0770697i
\(75\) −11.7481 + 1.25909i −1.35656 + 0.145387i
\(76\) 2.49554 + 9.31346i 0.286258 + 1.06833i
\(77\) −1.19065 + 1.19065i −0.135687 + 0.135687i
\(78\) −2.32338 + 0.290100i −0.263071 + 0.0328474i
\(79\) 3.34944i 0.376842i −0.982088 0.188421i \(-0.939663\pi\)
0.982088 0.188421i \(-0.0603369\pi\)
\(80\) −7.80932 + 1.45564i −0.873108 + 0.162745i
\(81\) −5.03732 + 8.72489i −0.559702 + 0.969433i
\(82\) −1.23600 0.331185i −0.136493 0.0365733i
\(83\) 5.18834 0.569494 0.284747 0.958603i \(-0.408090\pi\)
0.284747 + 0.958603i \(0.408090\pi\)
\(84\) −1.69605 0.454456i −0.185054 0.0495852i
\(85\) 1.90288 + 3.97899i 0.206396 + 0.431582i
\(86\) 1.32493 1.32493i 0.142871 0.142871i
\(87\) −4.99324 + 18.6350i −0.535332 + 1.99788i
\(88\) 4.54309 1.21732i 0.484295 0.129766i
\(89\) 4.82829 1.29374i 0.511798 0.137136i 0.00632782 0.999980i \(-0.497986\pi\)
0.505470 + 0.862844i \(0.331319\pi\)
\(90\) 1.03251 + 1.20642i 0.108836 + 0.127167i
\(91\) −0.854827 + 1.09875i −0.0896102 + 0.115181i
\(92\) −0.453978 0.453978i −0.0473305 0.0473305i
\(93\) 4.24734 7.35661i 0.440429 0.762845i
\(94\) 2.34019 + 1.35111i 0.241372 + 0.139356i
\(95\) −4.83341 10.1068i −0.495898 1.03694i
\(96\) 5.23549 + 5.23549i 0.534345 + 0.534345i
\(97\) 12.7722 7.37402i 1.29682 0.748718i 0.316965 0.948437i \(-0.397336\pi\)
0.979853 + 0.199719i \(0.0640030\pi\)
\(98\) −1.63046 + 0.941346i −0.164701 + 0.0950903i
\(99\) 7.96886 + 7.96886i 0.800900 + 0.800900i
\(100\) 8.97621 3.46674i 0.897621 0.346674i
\(101\) 4.57218 + 2.63975i 0.454949 + 0.262665i 0.709918 0.704284i \(-0.248732\pi\)
−0.254969 + 0.966949i \(0.582065\pi\)
\(102\) 0.640458 1.10930i 0.0634147 0.109838i
\(103\) −1.21001 1.21001i −0.119226 0.119226i 0.644976 0.764203i \(-0.276867\pi\)
−0.764203 + 0.644976i \(0.776867\pi\)
\(104\) 3.60238 1.46404i 0.353243 0.143560i
\(105\) 2.03405 + 0.157989i 0.198503 + 0.0154181i
\(106\) 2.69217 0.721364i 0.261487 0.0700651i
\(107\) −3.91480 + 1.04897i −0.378458 + 0.101408i −0.443033 0.896505i \(-0.646098\pi\)
0.0645749 + 0.997913i \(0.479431\pi\)
\(108\) 0.489479 1.82676i 0.0471002 0.175780i
\(109\) −5.02898 + 5.02898i −0.481689 + 0.481689i −0.905671 0.423982i \(-0.860632\pi\)
0.423982 + 0.905671i \(0.360632\pi\)
\(110\) −2.41761 + 1.15618i −0.230510 + 0.110237i
\(111\) −11.0134 2.95103i −1.04535 0.280099i
\(112\) 1.37167 0.129610
\(113\) 3.83891 + 1.02863i 0.361134 + 0.0967655i 0.434824 0.900516i \(-0.356811\pi\)
−0.0736896 + 0.997281i \(0.523477\pi\)
\(114\) −1.62679 + 2.81769i −0.152363 + 0.263901i
\(115\) 0.615206 + 0.421893i 0.0573682 + 0.0393417i
\(116\) 15.7116i 1.45879i
\(117\) 7.35381 + 5.72124i 0.679860 + 0.528929i
\(118\) 0.471653 0.471653i 0.0434192 0.0434192i
\(119\) −0.197111 0.735630i −0.0180692 0.0674351i
\(120\) −4.69975 3.22297i −0.429026 0.294216i
\(121\) −6.94473 + 4.00954i −0.631339 + 0.364504i
\(122\) 2.92582i 0.264892i
\(123\) 5.50165 + 9.52914i 0.496067 + 0.859213i
\(124\) −1.79052 + 6.68231i −0.160793 + 0.600089i
\(125\) −9.51483 + 5.87095i −0.851032 + 0.525113i
\(126\) −0.137095 0.237455i −0.0122134 0.0211542i
\(127\) −2.95156 11.0154i −0.261908 0.977455i −0.964116 0.265483i \(-0.914469\pi\)
0.702207 0.711972i \(-0.252198\pi\)
\(128\) −6.91298 3.99121i −0.611027 0.352777i
\(129\) −16.1123 −1.41860
\(130\) −1.86494 + 1.19616i −0.163566 + 0.104910i
\(131\) 20.8627 1.82279 0.911393 0.411536i \(-0.135008\pi\)
0.911393 + 0.411536i \(0.135008\pi\)
\(132\) −17.1758 9.91645i −1.49496 0.863117i
\(133\) 0.500673 + 1.86854i 0.0434138 + 0.162023i
\(134\) −0.876078 1.51741i −0.0756816 0.131084i
\(135\) −0.170165 + 2.19080i −0.0146454 + 0.188554i
\(136\) −0.550580 + 2.05479i −0.0472119 + 0.176197i
\(137\) 0.121975 + 0.211266i 0.0104210 + 0.0180497i 0.871189 0.490948i \(-0.163349\pi\)
−0.860768 + 0.508998i \(0.830016\pi\)
\(138\) 0.216643i 0.0184419i
\(139\) 10.1187 5.84202i 0.858255 0.495514i −0.00517263 0.999987i \(-0.501647\pi\)
0.863428 + 0.504473i \(0.168313\pi\)
\(140\) −1.63337 + 0.304457i −0.138045 + 0.0257313i
\(141\) −6.01402 22.4446i −0.506472 1.89018i
\(142\) 0.846020 0.846020i 0.0709965 0.0709965i
\(143\) −12.5385 + 9.48868i −1.04852 + 0.793483i
\(144\) 9.18038i 0.765032i
\(145\) 3.34516 + 17.9464i 0.277800 + 1.49036i
\(146\) −0.836233 + 1.44840i −0.0692071 + 0.119870i
\(147\) 15.6376 + 4.19009i 1.28977 + 0.345593i
\(148\) 9.28566 0.763277
\(149\) −2.44620 0.655457i −0.200400 0.0536971i 0.157223 0.987563i \(-0.449746\pi\)
−0.357623 + 0.933866i \(0.616413\pi\)
\(150\) 2.96895 + 1.31459i 0.242414 + 0.107336i
\(151\) 2.58498 2.58498i 0.210362 0.210362i −0.594059 0.804421i \(-0.702475\pi\)
0.804421 + 0.594059i \(0.202475\pi\)
\(152\) 1.39850 5.21928i 0.113433 0.423339i
\(153\) −4.92348 + 1.31924i −0.398039 + 0.106654i
\(154\) 0.446964 0.119764i 0.0360174 0.00965083i
\(155\) 0.622463 8.01398i 0.0499974 0.643698i
\(156\) −15.1066 6.37592i −1.20949 0.510482i
\(157\) −2.21767 2.21767i −0.176990 0.176990i 0.613053 0.790042i \(-0.289941\pi\)
−0.790042 + 0.613053i \(0.789941\pi\)
\(158\) −0.460228 + 0.797137i −0.0366137 + 0.0634169i
\(159\) −20.7557 11.9833i −1.64603 0.950337i
\(160\) 6.60667 + 2.33194i 0.522303 + 0.184356i
\(161\) −0.0910805 0.0910805i −0.00717815 0.00717815i
\(162\) 2.39768 1.38430i 0.188379 0.108761i
\(163\) −12.8283 + 7.40642i −1.00479 + 0.580116i −0.909662 0.415349i \(-0.863659\pi\)
−0.0951279 + 0.995465i \(0.530326\pi\)
\(164\) −6.33641 6.33641i −0.494790 0.494790i
\(165\) 21.7301 + 7.67002i 1.69169 + 0.597110i
\(166\) −1.23478 0.712900i −0.0958374 0.0553318i
\(167\) −1.73406 + 3.00348i −0.134186 + 0.232417i −0.925286 0.379270i \(-0.876175\pi\)
0.791100 + 0.611686i \(0.209509\pi\)
\(168\) 0.695792 + 0.695792i 0.0536815 + 0.0536815i
\(169\) −9.31440 + 9.06873i −0.716492 + 0.697595i
\(170\) 0.0938613 1.20843i 0.00719883 0.0926823i
\(171\) 12.5059 3.35094i 0.956348 0.256253i
\(172\) 12.6746 3.39616i 0.966432 0.258955i
\(173\) −1.01194 + 3.77661i −0.0769362 + 0.287130i −0.993665 0.112379i \(-0.964153\pi\)
0.916729 + 0.399509i \(0.130819\pi\)
\(174\) 3.74888 3.74888i 0.284202 0.284202i
\(175\) 1.80087 0.695523i 0.136133 0.0525766i
\(176\) 14.9652 + 4.00992i 1.12805 + 0.302259i
\(177\) −5.73569 −0.431121
\(178\) −1.32686 0.355530i −0.0994521 0.0266481i
\(179\) −3.24880 + 5.62708i −0.242827 + 0.420588i −0.961518 0.274741i \(-0.911408\pi\)
0.718692 + 0.695329i \(0.244741\pi\)
\(180\) 2.03769 + 10.9320i 0.151881 + 0.814820i
\(181\) 11.9845i 0.890802i 0.895331 + 0.445401i \(0.146939\pi\)
−0.895331 + 0.445401i \(0.853061\pi\)
\(182\) 0.354415 0.144037i 0.0262710 0.0106767i
\(183\) 17.7902 17.7902i 1.31509 1.31509i
\(184\) 0.0931205 + 0.347530i 0.00686493 + 0.0256203i
\(185\) −10.6064 + 1.97701i −0.779798 + 0.145352i
\(186\) −2.02166 + 1.16721i −0.148235 + 0.0855837i
\(187\) 8.60214i 0.629051i
\(188\) 9.46180 + 16.3883i 0.690073 + 1.19524i
\(189\) 0.0982030 0.366499i 0.00714322 0.0266588i
\(190\) −0.238412 + 3.06947i −0.0172963 + 0.222683i
\(191\) 2.59646 + 4.49719i 0.187873 + 0.325405i 0.944541 0.328394i \(-0.106507\pi\)
−0.756668 + 0.653799i \(0.773174\pi\)
\(192\) 3.81897 + 14.2526i 0.275610 + 1.02859i
\(193\) 5.77996 + 3.33706i 0.416051 + 0.240207i 0.693386 0.720566i \(-0.256118\pi\)
−0.277335 + 0.960773i \(0.589451\pi\)
\(194\) −4.05289 −0.290980
\(195\) 18.6127 + 4.06646i 1.33288 + 0.291205i
\(196\) −13.1845 −0.941748
\(197\) −16.9716 9.79857i −1.20918 0.698119i −0.246598 0.969118i \(-0.579313\pi\)
−0.962580 + 0.270999i \(0.912646\pi\)
\(198\) −0.801563 2.99147i −0.0569646 0.212595i
\(199\) −7.35302 12.7358i −0.521242 0.902817i −0.999695 0.0247042i \(-0.992136\pi\)
0.478453 0.878113i \(-0.341198\pi\)
\(200\) −5.32773 0.832657i −0.376727 0.0588777i
\(201\) −3.89957 + 14.5534i −0.275054 + 1.02652i
\(202\) −0.725425 1.25647i −0.0510408 0.0884052i
\(203\) 3.15219i 0.221240i
\(204\) 7.76844 4.48511i 0.543900 0.314021i
\(205\) 8.58674 + 5.88858i 0.599724 + 0.411276i
\(206\) 0.121712 + 0.454234i 0.00848005 + 0.0316480i
\(207\) −0.609590 + 0.609590i −0.0423694 + 0.0423694i
\(208\) 12.6880 + 1.75673i 0.879754 + 0.121807i
\(209\) 21.8499i 1.51139i
\(210\) −0.462377 0.317087i −0.0319070 0.0218811i
\(211\) 10.7072 18.5453i 0.737111 1.27671i −0.216679 0.976243i \(-0.569523\pi\)
0.953791 0.300471i \(-0.0971440\pi\)
\(212\) 18.8532 + 5.05170i 1.29484 + 0.346952i
\(213\) −10.2883 −0.704943
\(214\) 1.07582 + 0.288265i 0.0735416 + 0.0197054i
\(215\) −13.7543 + 6.57776i −0.938037 + 0.448599i
\(216\) −0.749414 + 0.749414i −0.0509912 + 0.0509912i
\(217\) −0.359227 + 1.34065i −0.0243859 + 0.0910095i
\(218\) 1.88786 0.505850i 0.127862 0.0342605i
\(219\) 13.8915 3.72221i 0.938700 0.251524i
\(220\) −18.7106 1.45329i −1.26147 0.0979809i
\(221\) −0.881153 7.05707i −0.0592728 0.474710i
\(222\) 2.21561 + 2.21561i 0.148702 + 0.148702i
\(223\) 13.6678 23.6733i 0.915264 1.58528i 0.108749 0.994069i \(-0.465315\pi\)
0.806515 0.591214i \(-0.201351\pi\)
\(224\) −1.04768 0.604878i −0.0700010 0.0404151i
\(225\) −4.65504 12.0530i −0.310336 0.803534i
\(226\) −0.772287 0.772287i −0.0513718 0.0513718i
\(227\) 5.99928 3.46369i 0.398186 0.229893i −0.287515 0.957776i \(-0.592829\pi\)
0.685701 + 0.727883i \(0.259496\pi\)
\(228\) −19.7322 + 11.3924i −1.30680 + 0.754481i
\(229\) 4.56825 + 4.56825i 0.301879 + 0.301879i 0.841749 0.539870i \(-0.181527\pi\)
−0.539870 + 0.841749i \(0.681527\pi\)
\(230\) −0.0884436 0.184939i −0.00583180 0.0121945i
\(231\) −3.44594 1.98951i −0.226726 0.130900i
\(232\) −4.40241 + 7.62520i −0.289032 + 0.500619i
\(233\) 5.49074 + 5.49074i 0.359711 + 0.359711i 0.863706 0.503996i \(-0.168137\pi\)
−0.503996 + 0.863706i \(0.668137\pi\)
\(234\) −0.964019 2.37205i −0.0630199 0.155066i
\(235\) −14.2968 16.7048i −0.932622 1.08970i
\(236\) 4.51196 1.20898i 0.293703 0.0786976i
\(237\) 7.64529 2.04855i 0.496615 0.133068i
\(238\) −0.0541679 + 0.202157i −0.00351119 + 0.0131039i
\(239\) 8.33949 8.33949i 0.539437 0.539437i −0.383927 0.923363i \(-0.625429\pi\)
0.923363 + 0.383927i \(0.125429\pi\)
\(240\) −8.09883 16.9349i −0.522777 1.09315i
\(241\) −1.40952 0.377680i −0.0907952 0.0243285i 0.213135 0.977023i \(-0.431632\pi\)
−0.303931 + 0.952694i \(0.598299\pi\)
\(242\) 2.20371 0.141660
\(243\) −20.1483 5.39872i −1.29251 0.346328i
\(244\) −10.2447 + 17.7444i −0.655853 + 1.13597i
\(245\) 15.0597 2.80710i 0.962132 0.179339i
\(246\) 3.02380i 0.192791i
\(247\) 2.23817 + 17.9253i 0.142412 + 1.14056i
\(248\) 2.74136 2.74136i 0.174077 0.174077i
\(249\) 3.17324 + 11.8427i 0.201096 + 0.750500i
\(250\) 3.07114 0.0898555i 0.194236 0.00568296i
\(251\) −11.2668 + 6.50488i −0.711153 + 0.410585i −0.811488 0.584369i \(-0.801342\pi\)
0.100335 + 0.994954i \(0.468009\pi\)
\(252\) 1.92014i 0.120958i
\(253\) −0.727447 1.25997i −0.0457342 0.0792139i
\(254\) −0.811113 + 3.02712i −0.0508938 + 0.189938i
\(255\) −7.91846 + 6.77703i −0.495873 + 0.424394i
\(256\) −5.14731 8.91540i −0.321707 0.557212i
\(257\) −7.62518 28.4576i −0.475646 1.77513i −0.618922 0.785452i \(-0.712430\pi\)
0.143276 0.989683i \(-0.454236\pi\)
\(258\) 3.83458 + 2.21389i 0.238730 + 0.137831i
\(259\) 1.86296 0.115759
\(260\) −15.4987 + 0.724344i −0.961191 + 0.0449219i
\(261\) −21.0972 −1.30588
\(262\) −4.96515 2.86663i −0.306748 0.177101i
\(263\) −1.30768 4.88034i −0.0806351 0.300934i 0.913817 0.406127i \(-0.133121\pi\)
−0.994452 + 0.105192i \(0.966454\pi\)
\(264\) 5.55719 + 9.62534i 0.342022 + 0.592399i
\(265\) −22.6103 1.75619i −1.38894 0.107882i
\(266\) 0.137589 0.513490i 0.00843614 0.0314841i
\(267\) 5.90606 + 10.2296i 0.361445 + 0.626041i
\(268\) 12.2703i 0.749529i
\(269\) 7.49111 4.32499i 0.456741 0.263699i −0.253932 0.967222i \(-0.581724\pi\)
0.710673 + 0.703523i \(0.248391\pi\)
\(270\) 0.341524 0.498011i 0.0207845 0.0303080i
\(271\) 5.96047 + 22.2448i 0.362073 + 1.35127i 0.871346 + 0.490669i \(0.163248\pi\)
−0.509273 + 0.860605i \(0.670086\pi\)
\(272\) −4.95497 + 4.95497i −0.300439 + 0.300439i
\(273\) −3.03079 1.27918i −0.183432 0.0774198i
\(274\) 0.0670394i 0.00405000i
\(275\) 21.6813 2.32366i 1.30743 0.140122i
\(276\) 0.758574 1.31389i 0.0456608 0.0790868i
\(277\) −20.9037 5.60114i −1.25598 0.336540i −0.431338 0.902190i \(-0.641958\pi\)
−0.824645 + 0.565650i \(0.808625\pi\)
\(278\) −3.21087 −0.192575
\(279\) 8.97282 + 2.40426i 0.537189 + 0.143939i
\(280\) 0.878021 + 0.309913i 0.0524718 + 0.0185208i
\(281\) 8.17717 8.17717i 0.487809 0.487809i −0.419805 0.907614i \(-0.637902\pi\)
0.907614 + 0.419805i \(0.137902\pi\)
\(282\) −1.65270 + 6.16797i −0.0984171 + 0.367298i
\(283\) −4.34603 + 1.16452i −0.258345 + 0.0692233i −0.385667 0.922638i \(-0.626029\pi\)
0.127322 + 0.991861i \(0.459362\pi\)
\(284\) 8.09325 2.16858i 0.480246 0.128681i
\(285\) 20.1133 17.2140i 1.19141 1.01967i
\(286\) 4.28783 0.535383i 0.253545 0.0316579i
\(287\) −1.27126 1.27126i −0.0750400 0.0750400i
\(288\) −4.04837 + 7.01198i −0.238552 + 0.413185i
\(289\) −11.3530 6.55467i −0.667825 0.385569i
\(290\) 1.66979 4.73072i 0.0980534 0.277797i
\(291\) 24.6432 + 24.6432i 1.44461 + 1.44461i
\(292\) −10.1431 + 5.85613i −0.593580 + 0.342704i
\(293\) 11.3497 6.55274i 0.663056 0.382815i −0.130385 0.991463i \(-0.541621\pi\)
0.793440 + 0.608648i \(0.208288\pi\)
\(294\) −3.14588 3.14588i −0.183472 0.183472i
\(295\) −4.89631 + 2.34157i −0.285074 + 0.136332i
\(296\) −4.50653 2.60185i −0.261937 0.151229i
\(297\) 2.14284 3.71150i 0.124340 0.215363i
\(298\) 0.492111 + 0.492111i 0.0285072 + 0.0285072i
\(299\) −0.725851 0.959149i −0.0419770 0.0554690i
\(300\) 13.4030 + 18.3684i 0.773821 + 1.06050i
\(301\) 2.54288 0.681363i 0.146569 0.0392731i
\(302\) −0.970388 + 0.260015i −0.0558396 + 0.0149622i
\(303\) −3.22899 + 12.0508i −0.185501 + 0.692298i
\(304\) 12.5859 12.5859i 0.721849 0.721849i
\(305\) 7.92394 22.4495i 0.453723 1.28545i
\(306\) 1.35301 + 0.362539i 0.0773466 + 0.0207250i
\(307\) 7.75447 0.442571 0.221285 0.975209i \(-0.428975\pi\)
0.221285 + 0.975209i \(0.428975\pi\)
\(308\) 3.13008 + 0.838703i 0.178353 + 0.0477896i
\(309\) 2.02187 3.50198i 0.115020 0.199221i
\(310\) −1.24930 + 1.82173i −0.0709552 + 0.103467i
\(311\) 11.6030i 0.657947i 0.944339 + 0.328974i \(0.106703\pi\)
−0.944339 + 0.328974i \(0.893297\pi\)
\(312\) 5.54500 + 7.32724i 0.313924 + 0.414823i
\(313\) −10.1565 + 10.1565i −0.574078 + 0.574078i −0.933265 0.359188i \(-0.883054\pi\)
0.359188 + 0.933265i \(0.383054\pi\)
\(314\) 0.223069 + 0.832505i 0.0125885 + 0.0469810i
\(315\) 0.408817 + 2.19325i 0.0230342 + 0.123576i
\(316\) −5.58234 + 3.22297i −0.314031 + 0.181306i
\(317\) 21.7686i 1.22265i 0.791381 + 0.611323i \(0.209362\pi\)
−0.791381 + 0.611323i \(0.790638\pi\)
\(318\) 3.29311 + 5.70384i 0.184669 + 0.319855i
\(319\) 9.21508 34.3911i 0.515945 1.92553i
\(320\) 9.07864 + 10.6077i 0.507512 + 0.592990i
\(321\) −4.78866 8.29420i −0.267277 0.462937i
\(322\) 0.00916151 + 0.0341912i 0.000510551 + 0.00190540i
\(323\) −8.55848 4.94124i −0.476206 0.274938i
\(324\) 19.3884 1.07714
\(325\) 17.5490 4.12720i 0.973441 0.228936i
\(326\) 4.07070 0.225455
\(327\) −14.5547 8.40318i −0.804878 0.464697i
\(328\) 1.29973 + 4.85066i 0.0717656 + 0.267833i
\(329\) 1.89830 + 3.28795i 0.104657 + 0.181270i
\(330\) −4.11768 4.81121i −0.226671 0.264848i
\(331\) −5.07792 + 18.9511i −0.279108 + 1.04164i 0.673931 + 0.738795i \(0.264605\pi\)
−0.953038 + 0.302850i \(0.902062\pi\)
\(332\) −4.99243 8.64714i −0.273995 0.474573i
\(333\) 12.4685i 0.683272i
\(334\) 0.825383 0.476535i 0.0451630 0.0260748i
\(335\) 2.61247 + 14.0156i 0.142734 + 0.765753i
\(336\) 0.838924 + 3.13091i 0.0457671 + 0.170805i
\(337\) −9.35946 + 9.35946i −0.509842 + 0.509842i −0.914478 0.404636i \(-0.867398\pi\)
0.404636 + 0.914478i \(0.367398\pi\)
\(338\) 3.46283 0.878441i 0.188353 0.0477809i
\(339\) 9.39165i 0.510084i
\(340\) 4.80055 7.00018i 0.260346 0.379638i
\(341\) −7.83852 + 13.5767i −0.424480 + 0.735220i
\(342\) −3.43672 0.920867i −0.185837 0.0497948i
\(343\) −5.34789 −0.288759
\(344\) −7.10288 1.90321i −0.382962 0.102614i
\(345\) −0.586730 + 1.66228i −0.0315885 + 0.0894940i
\(346\) 0.759754 0.759754i 0.0408446 0.0408446i
\(347\) −7.15698 + 26.7102i −0.384207 + 1.43388i 0.455207 + 0.890386i \(0.349565\pi\)
−0.839414 + 0.543493i \(0.817101\pi\)
\(348\) 35.8627 9.60939i 1.92244 0.515118i
\(349\) −28.5113 + 7.63958i −1.52618 + 0.408938i −0.921769 0.387739i \(-0.873256\pi\)
−0.604406 + 0.796676i \(0.706590\pi\)
\(350\) −0.524160 0.0819196i −0.0280175 0.00437878i
\(351\) 1.37777 3.26436i 0.0735398 0.174239i
\(352\) −9.66215 9.66215i −0.514994 0.514994i
\(353\) −7.81777 + 13.5408i −0.416098 + 0.720702i −0.995543 0.0943088i \(-0.969936\pi\)
0.579445 + 0.815011i \(0.303269\pi\)
\(354\) 1.36504 + 0.788109i 0.0725513 + 0.0418875i
\(355\) −8.78267 + 4.20015i −0.466136 + 0.222921i
\(356\) −6.80218 6.80218i −0.360515 0.360515i
\(357\) 1.55856 0.899837i 0.0824879 0.0476244i
\(358\) 1.54637 0.892798i 0.0817282 0.0471858i
\(359\) 14.0592 + 14.0592i 0.742017 + 0.742017i 0.972966 0.230949i \(-0.0741830\pi\)
−0.230949 + 0.972966i \(0.574183\pi\)
\(360\) 2.07421 5.87648i 0.109320 0.309718i
\(361\) 5.28447 + 3.05099i 0.278130 + 0.160578i
\(362\) 1.64672 2.85221i 0.0865499 0.149909i
\(363\) −13.3995 13.3995i −0.703290 0.703290i
\(364\) 2.65378 + 0.367432i 0.139096 + 0.0192587i
\(365\) 10.3390 8.84863i 0.541167 0.463159i
\(366\) −6.67836 + 1.78946i −0.349084 + 0.0935367i
\(367\) 21.2746 5.70052i 1.11053 0.297565i 0.343483 0.939159i \(-0.388393\pi\)
0.767045 + 0.641594i \(0.221727\pi\)
\(368\) −0.306745 + 1.14479i −0.0159902 + 0.0596761i
\(369\) −8.50836 + 8.50836i −0.442928 + 0.442928i
\(370\) 2.79588 + 0.986854i 0.145351 + 0.0513041i
\(371\) 3.78247 + 1.01351i 0.196376 + 0.0526188i
\(372\) −16.3479 −0.847597
\(373\) 1.12584 + 0.301668i 0.0582937 + 0.0156198i 0.287848 0.957676i \(-0.407060\pi\)
−0.229554 + 0.973296i \(0.573727\pi\)
\(374\) −1.18197 + 2.04723i −0.0611183 + 0.105860i
\(375\) −19.2201 18.1274i −0.992524 0.936096i
\(376\) 10.6048i 0.546901i
\(377\) 4.03708 29.1579i 0.207920 1.50171i
\(378\) −0.0737299 + 0.0737299i −0.00379226 + 0.00379226i
\(379\) 6.82640 + 25.4765i 0.350649 + 1.30864i 0.885873 + 0.463928i \(0.153560\pi\)
−0.535224 + 0.844710i \(0.679773\pi\)
\(380\) −12.1936 + 17.7808i −0.625520 + 0.912136i
\(381\) 23.3380 13.4742i 1.19564 0.690304i
\(382\) 1.42706i 0.0730146i
\(383\) −16.4001 28.4058i −0.838004 1.45147i −0.891561 0.452901i \(-0.850389\pi\)
0.0535563 0.998565i \(-0.482944\pi\)
\(384\) 4.88213 18.2204i 0.249140 0.929804i
\(385\) −3.75386 0.291570i −0.191314 0.0148598i
\(386\) −0.917054 1.58838i −0.0466768 0.0808466i
\(387\) −4.56027 17.0192i −0.231812 0.865132i
\(388\) −24.5798 14.1912i −1.24785 0.720447i
\(389\) 9.36826 0.474989 0.237495 0.971389i \(-0.423674\pi\)
0.237495 + 0.971389i \(0.423674\pi\)
\(390\) −3.87091 3.52525i −0.196011 0.178508i
\(391\) 0.658034 0.0332782
\(392\) 6.39871 + 3.69430i 0.323184 + 0.186590i
\(393\) 12.7599 + 47.6205i 0.643650 + 2.40213i
\(394\) 2.69273 + 4.66395i 0.135658 + 0.234966i
\(395\) 5.69014 4.86992i 0.286302 0.245032i
\(396\) 5.61333 20.9492i 0.282080 1.05274i
\(397\) 5.82600 + 10.0909i 0.292399 + 0.506449i 0.974376 0.224924i \(-0.0722133\pi\)
−0.681978 + 0.731373i \(0.738880\pi\)
\(398\) 4.04135i 0.202574i
\(399\) −3.95883 + 2.28563i −0.198189 + 0.114425i
\(400\) −13.8272 11.1503i −0.691362 0.557515i
\(401\) −5.33600 19.9142i −0.266467 0.994469i −0.961346 0.275342i \(-0.911209\pi\)
0.694879 0.719126i \(-0.255458\pi\)
\(402\) 2.92776 2.92776i 0.146024 0.146024i
\(403\) −5.03988 + 11.9411i −0.251054 + 0.594827i
\(404\) 10.1603i 0.505493i
\(405\) −22.1461 + 4.12799i −1.10045 + 0.205121i
\(406\) −0.433124 + 0.750193i −0.0214956 + 0.0372314i
\(407\) 20.3253 + 5.44616i 1.00749 + 0.269956i
\(408\) −5.02693 −0.248870
\(409\) 4.40250 + 1.17965i 0.217689 + 0.0583297i 0.366015 0.930609i \(-0.380722\pi\)
−0.148326 + 0.988939i \(0.547388\pi\)
\(410\) −1.23445 2.58129i −0.0609653 0.127481i
\(411\) −0.407627 + 0.407627i −0.0201067 + 0.0201067i
\(412\) −0.852344 + 3.18099i −0.0419920 + 0.156716i
\(413\) 0.905223 0.242554i 0.0445431 0.0119353i
\(414\) 0.228837 0.0613168i 0.0112467 0.00301355i
\(415\) 7.54358 + 8.81412i 0.370300 + 0.432668i
\(416\) −8.91642 6.93695i −0.437163 0.340112i
\(417\) 19.5234 + 19.5234i 0.956067 + 0.956067i
\(418\) 3.00227 5.20008i 0.146846 0.254344i
\(419\) 0.564687 + 0.326022i 0.0275868 + 0.0159272i 0.513730 0.857952i \(-0.328263\pi\)
−0.486143 + 0.873879i \(0.661597\pi\)
\(420\) −1.69393 3.54206i −0.0826553 0.172835i
\(421\) −5.58095 5.58095i −0.271999 0.271999i 0.557906 0.829904i \(-0.311605\pi\)
−0.829904 + 0.557906i \(0.811605\pi\)
\(422\) −5.09642 + 2.94242i −0.248090 + 0.143235i
\(423\) 22.0058 12.7051i 1.06996 0.617741i
\(424\) −7.73438 7.73438i −0.375615 0.375615i
\(425\) −3.99295 + 9.01792i −0.193686 + 0.437434i
\(426\) 2.44853 + 1.41366i 0.118631 + 0.0684919i
\(427\) −2.05538 + 3.56002i −0.0994667 + 0.172281i
\(428\) 5.51524 + 5.51524i 0.266589 + 0.266589i
\(429\) −29.3271 22.8164i −1.41593 1.10159i
\(430\) 4.17722 + 0.324454i 0.201443 + 0.0156466i
\(431\) −34.5325 + 9.25295i −1.66337 + 0.445699i −0.963312 0.268385i \(-0.913510\pi\)
−0.700060 + 0.714084i \(0.746843\pi\)
\(432\) −3.37220 + 0.903577i −0.162245 + 0.0434734i
\(433\) 6.82761 25.4810i 0.328114 1.22454i −0.583031 0.812450i \(-0.698133\pi\)
0.911144 0.412087i \(-0.135200\pi\)
\(434\) 0.269705 0.269705i 0.0129462 0.0129462i
\(435\) −38.9177 + 18.6117i −1.86596 + 0.892363i
\(436\) 13.2206 + 3.54246i 0.633154 + 0.169653i
\(437\) −1.67144 −0.0799558
\(438\) −3.81750 1.02290i −0.182407 0.0488759i
\(439\) −0.864675 + 1.49766i −0.0412687 + 0.0714794i −0.885922 0.463834i \(-0.846473\pi\)
0.844653 + 0.535314i \(0.179807\pi\)
\(440\) 8.67343 + 5.94803i 0.413490 + 0.283561i
\(441\) 17.7038i 0.843036i
\(442\) −0.759965 + 1.80059i −0.0361478 + 0.0856455i
\(443\) 2.86737 2.86737i 0.136233 0.136233i −0.635702 0.771935i \(-0.719289\pi\)
0.771935 + 0.635702i \(0.219289\pi\)
\(444\) 5.67920 + 21.1951i 0.269523 + 1.00587i
\(445\) 9.21793 + 6.32143i 0.436972 + 0.299665i
\(446\) −6.50564 + 3.75603i −0.308051 + 0.177853i
\(447\) 5.98448i 0.283056i
\(448\) −1.20544 2.08788i −0.0569517 0.0986432i
\(449\) −5.22508 + 19.5003i −0.246587 + 0.920274i 0.725993 + 0.687702i \(0.241381\pi\)
−0.972579 + 0.232571i \(0.925286\pi\)
\(450\) −0.548277 + 3.50813i −0.0258460 + 0.165375i
\(451\) −10.1534 17.5861i −0.478103 0.828098i
\(452\) −1.97958 7.38790i −0.0931117 0.347497i
\(453\) 7.48135 + 4.31936i 0.351505 + 0.202941i
\(454\) −1.90370 −0.0893452
\(455\) −3.10947 + 0.145323i −0.145774 + 0.00681286i
\(456\) 12.7686 0.597946
\(457\) 12.8012 + 7.39079i 0.598816 + 0.345727i 0.768576 0.639759i \(-0.220966\pi\)
−0.169759 + 0.985486i \(0.554299\pi\)
\(458\) −0.459507 1.71490i −0.0214713 0.0801321i
\(459\) 0.969184 + 1.67868i 0.0452377 + 0.0783539i
\(460\) 0.111172 1.43129i 0.00518341 0.0667344i
\(461\) −1.57205 + 5.86696i −0.0732175 + 0.273252i −0.992823 0.119591i \(-0.961842\pi\)
0.919606 + 0.392843i \(0.128508\pi\)
\(462\) 0.546735 + 0.946973i 0.0254364 + 0.0440572i
\(463\) 36.0148i 1.67375i 0.547396 + 0.836874i \(0.315619\pi\)
−0.547396 + 0.836874i \(0.684381\pi\)
\(464\) −25.1179 + 14.5018i −1.16607 + 0.673230i
\(465\) 18.6731 3.48062i 0.865943 0.161410i
\(466\) −0.552297 2.06120i −0.0255847 0.0954833i
\(467\) 7.68952 7.68952i 0.355829 0.355829i −0.506444 0.862273i \(-0.669040\pi\)
0.862273 + 0.506444i \(0.169040\pi\)
\(468\) 2.45917 17.7614i 0.113675 0.821022i
\(469\) 2.46176i 0.113674i
\(470\) 1.10721 + 5.94004i 0.0510717 + 0.273993i
\(471\) 3.70562 6.41832i 0.170746 0.295741i
\(472\) −2.52851 0.677511i −0.116384 0.0311850i
\(473\) 29.7353 1.36723
\(474\) −2.10099 0.562959i −0.0965018 0.0258576i
\(475\) 10.1423 22.9060i 0.465360 1.05100i
\(476\) −1.03637 + 1.03637i −0.0475019 + 0.0475019i
\(477\) 6.78329 25.3156i 0.310586 1.15912i
\(478\) −3.13061 + 0.838843i −0.143191 + 0.0383678i
\(479\) −8.87096 + 2.37697i −0.405324 + 0.108606i −0.455720 0.890123i \(-0.650618\pi\)
0.0503960 + 0.998729i \(0.483952\pi\)
\(480\) −1.28208 + 16.5064i −0.0585189 + 0.753408i
\(481\) 17.2325 + 2.38594i 0.785733 + 0.108789i
\(482\) 0.283559 + 0.283559i 0.0129157 + 0.0129157i
\(483\) 0.152191 0.263602i 0.00692492 0.0119943i
\(484\) 13.3650 + 7.71629i 0.607500 + 0.350740i
\(485\) 31.0973 + 10.9763i 1.41206 + 0.498410i
\(486\) 4.05331 + 4.05331i 0.183862 + 0.183862i
\(487\) 22.2840 12.8657i 1.00978 0.582998i 0.0986549 0.995122i \(-0.468546\pi\)
0.911128 + 0.412123i \(0.135213\pi\)
\(488\) 9.94399 5.74117i 0.450143 0.259890i
\(489\) −24.7515 24.7515i −1.11930 1.11930i
\(490\) −3.96980 1.40121i −0.179337 0.0633001i
\(491\) 11.4291 + 6.59859i 0.515788 + 0.297790i 0.735210 0.677840i \(-0.237084\pi\)
−0.219422 + 0.975630i \(0.570417\pi\)
\(492\) 10.5878 18.3386i 0.477336 0.826769i
\(493\) 11.3869 + 11.3869i 0.512839 + 0.512839i
\(494\) 1.93035 4.57360i 0.0868504 0.205776i
\(495\) −1.95144 + 25.1241i −0.0877108 + 1.12924i
\(496\) 12.3355 3.30529i 0.553881 0.148412i
\(497\) 1.62373 0.435076i 0.0728341 0.0195158i
\(498\) 0.872033 3.25447i 0.0390767 0.145836i
\(499\) 16.7683 16.7683i 0.750650 0.750650i −0.223950 0.974601i \(-0.571895\pi\)
0.974601 + 0.223950i \(0.0718954\pi\)
\(500\) 18.9404 + 10.2086i 0.847039 + 0.456543i
\(501\) −7.91620 2.12114i −0.353670 0.0947655i
\(502\) 3.57520 0.159569
\(503\) −7.28214 1.95124i −0.324695 0.0870017i 0.0927898 0.995686i \(-0.470422\pi\)
−0.417485 + 0.908684i \(0.637088\pi\)
\(504\) −0.538025 + 0.931887i −0.0239655 + 0.0415095i
\(505\) 2.16322 + 11.6054i 0.0962622 + 0.516435i
\(506\) 0.399817i 0.0177740i
\(507\) −26.3967 15.7141i −1.17232 0.697889i
\(508\) −15.5186 + 15.5186i −0.688528 + 0.688528i
\(509\) −7.93327 29.6074i −0.351636 1.31232i −0.884666 0.466226i \(-0.845613\pi\)
0.533030 0.846097i \(-0.321053\pi\)
\(510\) 2.81572 0.524843i 0.124682 0.0232404i
\(511\) −2.03499 + 1.17490i −0.0900225 + 0.0519745i
\(512\) 18.7939i 0.830581i
\(513\) −2.46178 4.26392i −0.108690 0.188257i
\(514\) −2.09547 + 7.82039i −0.0924271 + 0.344942i
\(515\) 0.296312 3.81491i 0.0130571 0.168105i
\(516\) 15.5039 + 26.8535i 0.682519 + 1.18216i
\(517\) 11.0989 + 41.4218i 0.488131 + 1.82173i
\(518\) −0.443368 0.255979i −0.0194805 0.0112471i
\(519\) −9.23923 −0.405557
\(520\) 7.72483 + 3.99122i 0.338756 + 0.175026i
\(521\) −7.16076 −0.313719 −0.156859 0.987621i \(-0.550137\pi\)
−0.156859 + 0.987621i \(0.550137\pi\)
\(522\) 5.02094 + 2.89884i 0.219761 + 0.126879i
\(523\) 2.78390 + 10.3897i 0.121731 + 0.454308i 0.999702 0.0244065i \(-0.00776960\pi\)
−0.877971 + 0.478714i \(0.841103\pi\)
\(524\) −20.0750 34.7709i −0.876979 1.51897i
\(525\) 2.68900 + 3.68521i 0.117358 + 0.160836i
\(526\) −0.359362 + 1.34116i −0.0156689 + 0.0584773i
\(527\) −3.54528 6.14061i −0.154435 0.267489i
\(528\) 36.6115i 1.59331i
\(529\) −19.8222 + 11.4444i −0.861835 + 0.497581i
\(530\) 5.13975 + 3.52472i 0.223257 + 0.153104i
\(531\) −1.62338 6.05854i −0.0704487 0.262918i
\(532\) 2.63243 2.63243i 0.114130 0.114130i
\(533\) −10.1311 13.3873i −0.438826 0.579870i
\(534\) 3.24607i 0.140471i
\(535\) −7.47394 5.12544i −0.323127 0.221592i
\(536\) −3.43815 + 5.95505i −0.148505 + 0.257219i
\(537\) −14.8311 3.97399i −0.640011 0.171490i
\(538\) −2.37709 −0.102484
\(539\) −28.8594 7.73286i −1.24306 0.333078i
\(540\) 3.81504 1.82447i 0.164173 0.0785129i
\(541\) 11.1986 11.1986i 0.481464 0.481464i −0.424135 0.905599i \(-0.639422\pi\)
0.905599 + 0.424135i \(0.139422\pi\)
\(542\) 1.63799 6.11306i 0.0703576 0.262578i
\(543\) −27.3554 + 7.32985i −1.17393 + 0.314554i
\(544\) 5.96966 1.59957i 0.255947 0.0685808i
\(545\) −15.8553 1.23152i −0.679166 0.0527523i
\(546\) 0.545536 + 0.720878i 0.0233468 + 0.0308507i
\(547\) −23.6205 23.6205i −1.00994 1.00994i −0.999950 0.00999077i \(-0.996820\pi\)
−0.00999077 0.999950i \(-0.503180\pi\)
\(548\) 0.234738 0.406578i 0.0100275 0.0173681i
\(549\) 23.8267 + 13.7564i 1.01690 + 0.587108i
\(550\) −5.47923 2.42609i −0.233635 0.103449i
\(551\) −28.9232 28.9232i −1.23217 1.23217i
\(552\) −0.736305 + 0.425106i −0.0313392 + 0.0180937i
\(553\) −1.11997 + 0.646616i −0.0476260 + 0.0274969i
\(554\) 4.20528 + 4.20528i 0.178665 + 0.178665i
\(555\) −10.9996 23.0006i −0.466908 0.976320i
\(556\) −19.4732 11.2429i −0.825847 0.476803i
\(557\) −15.5732 + 26.9736i −0.659859 + 1.14291i 0.320793 + 0.947149i \(0.396050\pi\)
−0.980652 + 0.195759i \(0.937283\pi\)
\(558\) −1.80510 1.80510i −0.0764159 0.0764159i
\(559\) 24.3944 3.04592i 1.03177 0.128829i
\(560\) 1.99433 + 2.33023i 0.0842759 + 0.0984702i
\(561\) 19.6349 5.26115i 0.828986 0.222126i
\(562\) −3.06967 + 0.822517i −0.129486 + 0.0346958i
\(563\) −5.39509 + 20.1348i −0.227376 + 0.848579i 0.754063 + 0.656802i \(0.228091\pi\)
−0.981439 + 0.191776i \(0.938575\pi\)
\(564\) −31.6204 + 31.6204i −1.33146 + 1.33146i
\(565\) 3.83410 + 8.01724i 0.161302 + 0.337288i
\(566\) 1.19433 + 0.320019i 0.0502013 + 0.0134514i
\(567\) 3.88985 0.163359
\(568\) −4.53546 1.21527i −0.190304 0.0509918i
\(569\) 20.8728 36.1527i 0.875031 1.51560i 0.0183019 0.999833i \(-0.494174\pi\)
0.856729 0.515766i \(-0.172493\pi\)
\(570\) −7.15206 + 1.33313i −0.299567 + 0.0558385i
\(571\) 19.2151i 0.804127i −0.915612 0.402064i \(-0.868293\pi\)
0.915612 0.402064i \(-0.131707\pi\)
\(572\) 27.8793 + 11.7668i 1.16569 + 0.491996i
\(573\) −8.67709 + 8.67709i −0.362491 + 0.362491i
\(574\) 0.127872 + 0.477224i 0.00533727 + 0.0199190i
\(575\) 0.177752 + 1.65854i 0.00741278 + 0.0691660i
\(576\) −13.9739 + 8.06785i −0.582247 + 0.336160i
\(577\) 21.8168i 0.908243i −0.890940 0.454122i \(-0.849953\pi\)
0.890940 0.454122i \(-0.150047\pi\)
\(578\) 1.80128 + 3.11991i 0.0749233 + 0.129771i
\(579\) −4.08196 + 15.2341i −0.169640 + 0.633107i
\(580\) 26.6914 22.8439i 1.10830 0.948542i
\(581\) −1.00162 1.73485i −0.0415541 0.0719738i
\(582\) −2.47879 9.25095i −0.102749 0.383464i
\(583\) 38.3048 + 22.1153i 1.58642 + 0.915922i
\(584\) 6.56356 0.271602
\(585\) 0.972630 + 20.8113i 0.0402133 + 0.860441i
\(586\) −3.60150 −0.148777
\(587\) 5.07084 + 2.92765i 0.209296 + 0.120837i 0.600984 0.799261i \(-0.294775\pi\)
−0.391688 + 0.920098i \(0.628109\pi\)
\(588\) −8.06375 30.0943i −0.332543 1.24107i
\(589\) 9.00520 + 15.5975i 0.371053 + 0.642682i
\(590\) 1.48702 + 0.115500i 0.0612197 + 0.00475507i
\(591\) 11.9858 44.7316i 0.493030 1.84001i
\(592\) −8.57065 14.8448i −0.352252 0.610118i
\(593\) 45.6277i 1.87370i −0.349727 0.936852i \(-0.613726\pi\)
0.349727 0.936852i \(-0.386274\pi\)
\(594\) −1.01995 + 0.588870i −0.0418492 + 0.0241616i
\(595\) 0.963122 1.40443i 0.0394842 0.0575759i
\(596\) 1.26141 + 4.70766i 0.0516695 + 0.192833i
\(597\) 24.5730 24.5730i 1.00571 1.00571i
\(598\) 0.0409550 + 0.328004i 0.00167477 + 0.0134131i
\(599\) 12.7240i 0.519888i −0.965624 0.259944i \(-0.916296\pi\)
0.965624 0.259944i \(-0.0837041\pi\)
\(600\) −1.35790 12.6701i −0.0554362 0.517255i
\(601\) 12.3636 21.4144i 0.504321 0.873510i −0.495666 0.868513i \(-0.665076\pi\)
0.999988 0.00499702i \(-0.00159061\pi\)
\(602\) −0.698805 0.187244i −0.0284812 0.00763151i
\(603\) −16.4763 −0.670965
\(604\) −6.79561 1.82088i −0.276510 0.0740905i
\(605\) −16.9088 5.96827i −0.687442 0.242644i
\(606\) 2.42430 2.42430i 0.0984804 0.0984804i
\(607\) 1.13924 4.25169i 0.0462402 0.172571i −0.938944 0.344070i \(-0.888194\pi\)
0.985184 + 0.171499i \(0.0548610\pi\)
\(608\) −15.1632 + 4.06298i −0.614950 + 0.164775i
\(609\) 7.19505 1.92791i 0.291558 0.0781228i
\(610\) −4.97048 + 4.25400i −0.201249 + 0.172239i
\(611\) 13.3484 + 32.8449i 0.540019 + 1.32876i
\(612\) 6.93628 + 6.93628i 0.280382 + 0.280382i
\(613\) −0.580288 + 1.00509i −0.0234376 + 0.0405951i −0.877506 0.479565i \(-0.840794\pi\)
0.854069 + 0.520160i \(0.174128\pi\)
\(614\) −1.84550 1.06550i −0.0744781 0.0430000i
\(615\) −8.18929 + 23.2013i −0.330224 + 0.935565i
\(616\) −1.28409 1.28409i −0.0517375 0.0517375i
\(617\) −33.3212 + 19.2380i −1.34146 + 0.774493i −0.987022 0.160587i \(-0.948661\pi\)
−0.354439 + 0.935079i \(0.615328\pi\)
\(618\) −0.962375 + 0.555628i −0.0387124 + 0.0223506i
\(619\) 24.7229 + 24.7229i 0.993698 + 0.993698i 0.999980 0.00628240i \(-0.00199976\pi\)
−0.00628240 + 0.999980i \(0.502000\pi\)
\(620\) −13.9554 + 6.67394i −0.560464 + 0.268032i
\(621\) 0.283917 + 0.163920i 0.0113932 + 0.00657787i
\(622\) 1.59431 2.76142i 0.0639258 0.110723i
\(623\) −1.36470 1.36470i −0.0546757 0.0546757i
\(624\) 3.75027 + 30.0355i 0.150131 + 1.20238i
\(625\) −23.8078 7.62804i −0.952313 0.305122i
\(626\) 3.81269 1.02161i 0.152386 0.0408317i
\(627\) −49.8736 + 13.3636i −1.99176 + 0.533690i
\(628\) −1.56215 + 5.83002i −0.0623365 + 0.232643i
\(629\) −6.72971 + 6.72971i −0.268331 + 0.268331i
\(630\) 0.204067 0.578148i 0.00813024 0.0230340i
\(631\) −7.05694 1.89090i −0.280933 0.0752756i 0.115601 0.993296i \(-0.463120\pi\)
−0.396534 + 0.918020i \(0.629787\pi\)
\(632\) 3.61231 0.143690
\(633\) 48.8794 + 13.0972i 1.94278 + 0.520567i
\(634\) 2.99110 5.18074i 0.118792 0.205753i
\(635\) 14.4218 21.0300i 0.572313 0.834549i
\(636\) 46.1232i 1.82891i
\(637\) −24.4679 3.38773i −0.969455 0.134227i
\(638\) −6.91860 + 6.91860i −0.273910 + 0.273910i
\(639\) −2.91191 10.8674i −0.115193 0.429907i
\(640\) −3.27072 17.5470i −0.129287 0.693607i
\(641\) −7.19858 + 4.15610i −0.284327 + 0.164156i −0.635381 0.772199i \(-0.719157\pi\)
0.351054 + 0.936355i \(0.385823\pi\)
\(642\) 2.63193i 0.103874i
\(643\) −5.57779 9.66101i −0.219967 0.380993i 0.734831 0.678250i \(-0.237261\pi\)
−0.954797 + 0.297257i \(0.903928\pi\)
\(644\) −0.0641579 + 0.239440i −0.00252817 + 0.00943528i
\(645\) −23.4264 27.3720i −0.922414 1.07777i
\(646\) 1.35789 + 2.35194i 0.0534257 + 0.0925360i
\(647\) 10.8961 + 40.6647i 0.428369 + 1.59870i 0.756454 + 0.654047i \(0.226930\pi\)
−0.328085 + 0.944648i \(0.606403\pi\)
\(648\) −9.40963 5.43265i −0.369645 0.213415i
\(649\) 10.5853 0.415509
\(650\) −4.74360 1.42907i −0.186059 0.0560526i
\(651\) −3.27983 −0.128547
\(652\) 24.6878 + 14.2535i 0.966849 + 0.558211i
\(653\) −11.0577 41.2678i −0.432721 1.61494i −0.746463 0.665427i \(-0.768250\pi\)
0.313742 0.949508i \(-0.398417\pi\)
\(654\) 2.30926 + 3.99976i 0.0902994 + 0.156403i
\(655\) 30.3334 + 35.4423i 1.18522 + 1.38485i
\(656\) −4.28140 + 15.9784i −0.167160 + 0.623851i
\(657\) 7.86345 + 13.6199i 0.306782 + 0.531363i
\(658\) 1.04334i 0.0406735i
\(659\) 15.2491 8.80408i 0.594021 0.342958i −0.172665 0.984981i \(-0.555238\pi\)
0.766686 + 0.642023i \(0.221904\pi\)
\(660\) −8.12635 43.5968i −0.316318 1.69700i
\(661\) 7.21232 + 26.9167i 0.280527 + 1.04694i 0.952047 + 0.305953i \(0.0989751\pi\)
−0.671520 + 0.740987i \(0.734358\pi\)
\(662\) 3.81246 3.81246i 0.148175 0.148175i
\(663\) 15.5692 6.32746i 0.604659 0.245738i
\(664\) 5.59552i 0.217148i
\(665\) −2.44638 + 3.56732i −0.0948665 + 0.138335i
\(666\) −1.71323 + 2.96740i −0.0663863 + 0.114985i
\(667\) 2.63080 + 0.704922i 0.101865 + 0.0272947i
\(668\) 6.67434 0.258238
\(669\) 62.3951 + 16.7187i 2.41234 + 0.646383i
\(670\) 1.30406 3.69455i 0.0503800 0.142733i
\(671\) −32.8320 + 32.8320i −1.26747 + 1.26747i
\(672\) 0.739899 2.76134i 0.0285422 0.106521i
\(673\) 7.05459 1.89027i 0.271934 0.0728646i −0.120275 0.992741i \(-0.538378\pi\)
0.392209 + 0.919876i \(0.371711\pi\)
\(674\) 3.51350 0.941440i 0.135335 0.0362629i
\(675\) −3.96922 + 2.89624i −0.152775 + 0.111476i
\(676\) 24.0771 + 6.79753i 0.926042 + 0.261444i
\(677\) 3.26988 + 3.26988i 0.125672 + 0.125672i 0.767145 0.641473i \(-0.221677\pi\)
−0.641473 + 0.767145i \(0.721677\pi\)
\(678\) 1.29045 2.23513i 0.0495595 0.0858397i
\(679\) −4.93138 2.84713i −0.189249 0.109263i
\(680\) −4.29126 + 2.05222i −0.164562 + 0.0786991i
\(681\) 11.5753 + 11.5753i 0.443566 + 0.443566i
\(682\) 3.73100 2.15409i 0.142867 0.0824845i
\(683\) 23.4651 13.5476i 0.897868 0.518384i 0.0213600 0.999772i \(-0.493200\pi\)
0.876508 + 0.481388i \(0.159867\pi\)
\(684\) −17.6185 17.6185i −0.673660 0.673660i
\(685\) −0.181561 + 0.514385i −0.00693709 + 0.0196536i
\(686\) 1.27275 + 0.734823i 0.0485939 + 0.0280557i
\(687\) −7.63332 + 13.2213i −0.291229 + 0.504424i
\(688\) −17.1280 17.1280i −0.653000 0.653000i
\(689\) 33.6901 + 14.2193i 1.28349 + 0.541714i
\(690\) 0.368040 0.314988i 0.0140111 0.0119914i
\(691\) −12.1374 + 3.25221i −0.461729 + 0.123720i −0.482182 0.876071i \(-0.660156\pi\)
0.0204532 + 0.999791i \(0.493489\pi\)
\(692\) 7.26800 1.94746i 0.276288 0.0740311i
\(693\) 1.12619 4.20299i 0.0427804 0.159658i
\(694\) 5.37339 5.37339i 0.203971 0.203971i
\(695\) 24.6367 + 8.69594i 0.934522 + 0.329856i
\(696\) −20.0975 5.38511i −0.761795 0.204122i
\(697\) 9.18452 0.347889
\(698\) 7.83515 + 2.09942i 0.296565 + 0.0794643i
\(699\) −9.17475 + 15.8911i −0.347021 + 0.601058i
\(700\) −2.89207 2.33217i −0.109310 0.0881476i
\(701\) 39.3955i 1.48795i −0.668208 0.743974i \(-0.732938\pi\)
0.668208 0.743974i \(-0.267062\pi\)
\(702\) −0.776434 + 0.587578i −0.0293046 + 0.0221767i
\(703\) 17.0938 17.0938i 0.644705 0.644705i
\(704\) −7.04795 26.3033i −0.265630 0.991343i
\(705\) 29.3856 42.8501i 1.10672 1.61383i
\(706\) 3.72112 2.14839i 0.140046 0.0808557i
\(707\) 2.03843i 0.0766631i
\(708\) 5.51911 + 9.55939i 0.207421 + 0.359264i
\(709\) −6.62303 + 24.7175i −0.248733 + 0.928285i 0.722737 + 0.691123i \(0.242884\pi\)
−0.971470 + 0.237162i \(0.923783\pi\)
\(710\) 2.66732 + 0.207176i 0.100103 + 0.00777519i
\(711\) 4.32771 + 7.49582i 0.162302 + 0.281115i
\(712\) 1.39527 + 5.20722i 0.0522900 + 0.195149i
\(713\) −1.03857 0.599619i −0.0388948 0.0224559i
\(714\) −0.494566 −0.0185087
\(715\) −34.3500 7.50470i −1.28462 0.280660i
\(716\) 12.5045 0.467315
\(717\) 24.1359 + 13.9349i 0.901371 + 0.520407i
\(718\) −1.41417 5.27777i −0.0527765 0.196965i
\(719\) 4.34268 + 7.52174i 0.161955 + 0.280514i 0.935570 0.353142i \(-0.114887\pi\)
−0.773615 + 0.633656i \(0.781554\pi\)
\(720\) 15.5959 13.3478i 0.581226 0.497443i
\(721\) −0.171004 + 0.638194i −0.00636851 + 0.0237676i
\(722\) −0.838438 1.45222i −0.0312034 0.0540460i
\(723\) 3.44830i 0.128244i
\(724\) 19.9740 11.5320i 0.742327 0.428583i
\(725\) −25.6242 + 31.7760i −0.951658 + 1.18013i
\(726\) 1.34781 + 5.03011i 0.0500220 + 0.186685i
\(727\) −17.4677 + 17.4677i −0.647841 + 0.647841i −0.952471 0.304630i \(-0.901467\pi\)
0.304630 + 0.952471i \(0.401467\pi\)
\(728\) −1.18498 0.921915i −0.0439184 0.0341684i
\(729\) 19.0676i 0.706209i
\(730\) −3.67643 + 0.685277i −0.136071 + 0.0253632i
\(731\) −6.72450 + 11.6472i −0.248715 + 0.430786i
\(732\) −46.7685 12.5316i −1.72861 0.463180i
\(733\) −34.2413 −1.26473 −0.632365 0.774670i \(-0.717916\pi\)
−0.632365 + 0.774670i \(0.717916\pi\)
\(734\) −5.84646 1.56655i −0.215797 0.0578225i
\(735\) 15.6181 + 32.6579i 0.576081 + 1.20461i
\(736\) 0.739121 0.739121i 0.0272444 0.0272444i
\(737\) 7.19670 26.8584i 0.265094 0.989344i
\(738\) 3.19400 0.855830i 0.117573 0.0315035i
\(739\) −27.2869 + 7.31150i −1.00376 + 0.268958i −0.723022 0.690825i \(-0.757247\pi\)
−0.280743 + 0.959783i \(0.590581\pi\)
\(740\) 13.5009 + 15.7748i 0.496302 + 0.579893i
\(741\) −39.5467 + 16.0720i −1.45278 + 0.590421i
\(742\) −0.760935 0.760935i −0.0279348 0.0279348i
\(743\) −15.8384 + 27.4329i −0.581055 + 1.00642i 0.414299 + 0.910141i \(0.364027\pi\)
−0.995355 + 0.0962765i \(0.969307\pi\)
\(744\) 7.93397 + 4.58068i 0.290873 + 0.167936i
\(745\) −2.44314 5.10868i −0.0895096 0.187168i
\(746\) −0.226489 0.226489i −0.00829237 0.00829237i
\(747\) −11.6111 + 6.70370i −0.424830 + 0.245275i
\(748\) −14.3367 + 8.27733i −0.524203 + 0.302649i
\(749\) 1.10651 + 1.10651i 0.0404309 + 0.0404309i
\(750\) 2.08344 + 6.95510i 0.0760764 + 0.253964i
\(751\) 2.11351 + 1.22024i 0.0771231 + 0.0445271i 0.538066 0.842903i \(-0.319155\pi\)
−0.460943 + 0.887430i \(0.652489\pi\)
\(752\) 17.4665 30.2528i 0.636936 1.10321i
\(753\) −21.7387 21.7387i −0.792201 0.792201i
\(754\) −4.96721 + 6.38462i −0.180895 + 0.232514i
\(755\) 8.14986 + 0.633018i 0.296604 + 0.0230379i
\(756\) −0.705319 + 0.188990i −0.0256522 + 0.00687349i
\(757\) −41.2367 + 11.0493i −1.49877 + 0.401595i −0.912689 0.408655i \(-0.865998\pi\)
−0.586084 + 0.810250i \(0.699331\pi\)
\(758\) 1.87595 7.00115i 0.0681377 0.254293i
\(759\) 2.43105 2.43105i 0.0882416 0.0882416i
\(760\) 10.9000 5.21274i 0.395385 0.189086i
\(761\) −38.5996 10.3427i −1.39923 0.374923i −0.521164 0.853457i \(-0.674502\pi\)
−0.878069 + 0.478533i \(0.841169\pi\)
\(762\) −7.40565 −0.268279
\(763\) 2.65242 + 0.710715i 0.0960242 + 0.0257296i
\(764\) 4.99683 8.65476i 0.180779 0.313118i
\(765\) −9.39965 6.44605i −0.339845 0.233057i
\(766\) 9.01376i 0.325680i
\(767\) 8.68401 1.08429i 0.313561 0.0391516i
\(768\) 17.2018 17.2018i 0.620716 0.620716i
\(769\) −9.91969 37.0208i −0.357713 1.33500i −0.877035 0.480426i \(-0.840482\pi\)
0.519322 0.854579i \(-0.326184\pi\)
\(770\) 0.853322 + 0.585187i 0.0307516 + 0.0210887i
\(771\) 60.2925 34.8099i 2.17138 − </