Properties

Label 120.2.w.c.53.14
Level $120$
Weight $2$
Character 120.53
Analytic conductor $0.958$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 120 = 2^{3} \cdot 3 \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 120.w (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.958204824255\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 53.14
Character \(\chi\) \(=\) 120.53
Dual form 120.2.w.c.77.14

$q$-expansion

\(f(q)\) \(=\) \(q+(1.30986 - 0.533177i) q^{2} +(-0.667305 + 1.59834i) q^{3} +(1.43144 - 1.39677i) q^{4} +(0.143028 + 2.23149i) q^{5} +(-0.0218716 + 2.44939i) q^{6} +(0.582772 - 0.582772i) q^{7} +(1.13026 - 2.59278i) q^{8} +(-2.10941 - 2.13317i) q^{9} +O(q^{10})\) \(q+(1.30986 - 0.533177i) q^{2} +(-0.667305 + 1.59834i) q^{3} +(1.43144 - 1.39677i) q^{4} +(0.143028 + 2.23149i) q^{5} +(-0.0218716 + 2.44939i) q^{6} +(0.582772 - 0.582772i) q^{7} +(1.13026 - 2.59278i) q^{8} +(-2.10941 - 2.13317i) q^{9} +(1.37713 + 2.84667i) q^{10} -3.68607 q^{11} +(1.27731 + 3.22001i) q^{12} +(3.88771 - 3.88771i) q^{13} +(0.452626 - 1.07407i) q^{14} +(-3.66213 - 1.26047i) q^{15} +(0.0980619 - 3.99880i) q^{16} +(0.880105 + 0.880105i) q^{17} +(-3.90038 - 1.66945i) q^{18} -6.32919 q^{19} +(3.32162 + 2.99447i) q^{20} +(0.542584 + 1.32036i) q^{21} +(-4.82821 + 1.96533i) q^{22} +(-2.06626 + 2.06626i) q^{23} +(3.38993 + 3.53672i) q^{24} +(-4.95909 + 0.638332i) q^{25} +(3.01950 - 7.16518i) q^{26} +(4.81715 - 1.94809i) q^{27} +(0.0202063 - 1.64820i) q^{28} +1.37122i q^{29} +(-5.46892 + 0.301526i) q^{30} +3.32075 q^{31} +(-2.00362 - 5.29013i) q^{32} +(2.45973 - 5.89160i) q^{33} +(1.62206 + 0.683558i) q^{34} +(1.38380 + 1.21710i) q^{35} +(-5.99904 - 0.107144i) q^{36} +(2.44147 + 2.44147i) q^{37} +(-8.29032 + 3.37458i) q^{38} +(3.61961 + 8.80819i) q^{39} +(5.94742 + 2.15132i) q^{40} -0.648104i q^{41} +(1.41469 + 1.44018i) q^{42} +(0.819412 - 0.819412i) q^{43} +(-5.27640 + 5.14859i) q^{44} +(4.45843 - 5.01223i) q^{45} +(-1.60482 + 3.80818i) q^{46} +(6.28508 + 6.28508i) q^{47} +(6.32602 + 2.82515i) q^{48} +6.32075i q^{49} +(-6.15534 + 3.48020i) q^{50} +(-1.99401 + 0.819412i) q^{51} +(0.134798 - 10.9953i) q^{52} +(-5.60782 - 5.60782i) q^{53} +(5.27109 - 5.12011i) q^{54} +(-0.527212 - 8.22542i) q^{55} +(-0.852318 - 2.16968i) q^{56} +(4.22349 - 10.1162i) q^{57} +(0.731106 + 1.79611i) q^{58} -6.12026i q^{59} +(-7.00273 + 3.31086i) q^{60} +5.13471i q^{61} +(4.34971 - 1.77055i) q^{62} +(-2.47245 - 0.0138443i) q^{63} +(-5.44503 - 5.86102i) q^{64} +(9.23144 + 8.11933i) q^{65} +(0.0806201 - 9.02862i) q^{66} +(4.90636 + 4.90636i) q^{67} +(2.48912 + 0.0305156i) q^{68} +(-1.92377 - 4.68141i) q^{69} +(2.46151 + 0.856408i) q^{70} -4.13251i q^{71} +(-7.91501 + 3.05821i) q^{72} +(4.69820 + 4.69820i) q^{73} +(4.49972 + 1.89624i) q^{74} +(2.28895 - 8.35229i) q^{75} +(-9.05987 + 8.84042i) q^{76} +(-2.14814 + 2.14814i) q^{77} +(9.43750 + 9.60756i) q^{78} -1.10079i q^{79} +(8.93730 - 0.353117i) q^{80} +(-0.100786 + 8.99944i) q^{81} +(-0.345554 - 0.848922i) q^{82} +(6.27439 + 6.27439i) q^{83} +(2.62091 + 1.13215i) q^{84} +(-1.83806 + 2.08982i) q^{85} +(0.636420 - 1.51020i) q^{86} +(-2.19169 - 0.915024i) q^{87} +(-4.16621 + 9.55717i) q^{88} -15.3562 q^{89} +(3.16749 - 8.94243i) q^{90} -4.53130i q^{91} +(-0.0716428 + 5.84382i) q^{92} +(-2.21595 + 5.30771i) q^{93} +(11.5836 + 4.88148i) q^{94} +(-0.905253 - 14.1235i) q^{95} +(9.79248 + 0.327652i) q^{96} +(-5.42154 + 5.42154i) q^{97} +(3.37008 + 8.27927i) q^{98} +(7.77542 + 7.86299i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q - 4 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 32 q - 4 q^{6} + 4 q^{10} - 8 q^{12} - 28 q^{15} + 28 q^{16} - 20 q^{18} - 52 q^{22} - 8 q^{25} + 12 q^{28} - 32 q^{30} - 32 q^{31} + 8 q^{33} - 20 q^{36} + 24 q^{40} + 16 q^{42} + 24 q^{46} + 44 q^{48} + 8 q^{52} + 8 q^{55} - 16 q^{57} + 28 q^{58} + 56 q^{60} + 48 q^{63} + 16 q^{66} + 20 q^{70} + 32 q^{72} - 64 q^{73} - 88 q^{76} + 64 q^{78} + 48 q^{81} + 64 q^{82} - 8 q^{87} - 52 q^{88} + 84 q^{90} - 52 q^{96} + 16 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/120\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(41\) \(61\) \(97\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{3}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.30986 0.533177i 0.926208 0.377013i
\(3\) −0.667305 + 1.59834i −0.385268 + 0.922805i
\(4\) 1.43144 1.39677i 0.715722 0.698385i
\(5\) 0.143028 + 2.23149i 0.0639642 + 0.997952i
\(6\) −0.0218716 + 2.44939i −0.00892904 + 0.999960i
\(7\) 0.582772 0.582772i 0.220267 0.220267i −0.588344 0.808611i \(-0.700220\pi\)
0.808611 + 0.588344i \(0.200220\pi\)
\(8\) 1.13026 2.59278i 0.399606 0.916687i
\(9\) −2.10941 2.13317i −0.703136 0.711055i
\(10\) 1.37713 + 2.84667i 0.435485 + 0.900196i
\(11\) −3.68607 −1.11139 −0.555695 0.831386i \(-0.687548\pi\)
−0.555695 + 0.831386i \(0.687548\pi\)
\(12\) 1.27731 + 3.22001i 0.368728 + 0.929537i
\(13\) 3.88771 3.88771i 1.07826 1.07826i 0.0815911 0.996666i \(-0.474000\pi\)
0.996666 0.0815911i \(-0.0260002\pi\)
\(14\) 0.452626 1.07407i 0.120969 0.287057i
\(15\) −3.66213 1.26047i −0.945558 0.325453i
\(16\) 0.0980619 3.99880i 0.0245155 0.999699i
\(17\) 0.880105 + 0.880105i 0.213457 + 0.213457i 0.805734 0.592277i \(-0.201771\pi\)
−0.592277 + 0.805734i \(0.701771\pi\)
\(18\) −3.90038 1.66945i −0.919328 0.393493i
\(19\) −6.32919 −1.45201 −0.726007 0.687687i \(-0.758626\pi\)
−0.726007 + 0.687687i \(0.758626\pi\)
\(20\) 3.32162 + 2.99447i 0.742736 + 0.669585i
\(21\) 0.542584 + 1.32036i 0.118402 + 0.288125i
\(22\) −4.82821 + 1.96533i −1.02938 + 0.419009i
\(23\) −2.06626 + 2.06626i −0.430844 + 0.430844i −0.888916 0.458071i \(-0.848540\pi\)
0.458071 + 0.888916i \(0.348540\pi\)
\(24\) 3.38993 + 3.53672i 0.691967 + 0.721929i
\(25\) −4.95909 + 0.638332i −0.991817 + 0.127666i
\(26\) 3.01950 7.16518i 0.592173 1.40521i
\(27\) 4.81715 1.94809i 0.927061 0.374910i
\(28\) 0.0202063 1.64820i 0.00381863 0.311481i
\(29\) 1.37122i 0.254630i 0.991862 + 0.127315i \(0.0406359\pi\)
−0.991862 + 0.127315i \(0.959364\pi\)
\(30\) −5.46892 + 0.301526i −0.998484 + 0.0550509i
\(31\) 3.32075 0.596425 0.298212 0.954500i \(-0.403610\pi\)
0.298212 + 0.954500i \(0.403610\pi\)
\(32\) −2.00362 5.29013i −0.354194 0.935172i
\(33\) 2.45973 5.89160i 0.428184 1.02560i
\(34\) 1.62206 + 0.683558i 0.278181 + 0.117229i
\(35\) 1.38380 + 1.21710i 0.233905 + 0.205727i
\(36\) −5.99904 0.107144i −0.999841 0.0178574i
\(37\) 2.44147 + 2.44147i 0.401376 + 0.401376i 0.878718 0.477342i \(-0.158400\pi\)
−0.477342 + 0.878718i \(0.658400\pi\)
\(38\) −8.29032 + 3.37458i −1.34487 + 0.547429i
\(39\) 3.61961 + 8.80819i 0.579602 + 1.41044i
\(40\) 5.94742 + 2.15132i 0.940370 + 0.340153i
\(41\) 0.648104i 0.101217i −0.998719 0.0506084i \(-0.983884\pi\)
0.998719 0.0506084i \(-0.0161160\pi\)
\(42\) 1.41469 + 1.44018i 0.218292 + 0.222225i
\(43\) 0.819412 0.819412i 0.124959 0.124959i −0.641861 0.766821i \(-0.721838\pi\)
0.766821 + 0.641861i \(0.221838\pi\)
\(44\) −5.27640 + 5.14859i −0.795447 + 0.776179i
\(45\) 4.45843 5.01223i 0.664623 0.747179i
\(46\) −1.60482 + 3.80818i −0.236617 + 0.561485i
\(47\) 6.28508 + 6.28508i 0.916772 + 0.916772i 0.996793 0.0800208i \(-0.0254987\pi\)
−0.0800208 + 0.996793i \(0.525499\pi\)
\(48\) 6.32602 + 2.82515i 0.913082 + 0.407776i
\(49\) 6.32075i 0.902965i
\(50\) −6.15534 + 3.48020i −0.870497 + 0.492174i
\(51\) −1.99401 + 0.819412i −0.279217 + 0.114741i
\(52\) 0.134798 10.9953i 0.0186931 1.52477i
\(53\) −5.60782 5.60782i −0.770293 0.770293i 0.207864 0.978158i \(-0.433349\pi\)
−0.978158 + 0.207864i \(0.933349\pi\)
\(54\) 5.27109 5.12011i 0.717305 0.696759i
\(55\) −0.527212 8.22542i −0.0710892 1.10911i
\(56\) −0.852318 2.16968i −0.113896 0.289936i
\(57\) 4.22349 10.1162i 0.559415 1.33993i
\(58\) 0.731106 + 1.79611i 0.0959989 + 0.235840i
\(59\) 6.12026i 0.796790i −0.917214 0.398395i \(-0.869567\pi\)
0.917214 0.398395i \(-0.130433\pi\)
\(60\) −7.00273 + 3.31086i −0.904048 + 0.427430i
\(61\) 5.13471i 0.657432i 0.944429 + 0.328716i \(0.106616\pi\)
−0.944429 + 0.328716i \(0.893384\pi\)
\(62\) 4.34971 1.77055i 0.552413 0.224860i
\(63\) −2.47245 0.0138443i −0.311500 0.00174421i
\(64\) −5.44503 5.86102i −0.680629 0.732628i
\(65\) 9.23144 + 8.11933i 1.14502 + 1.00708i
\(66\) 0.0806201 9.02862i 0.00992365 1.11135i
\(67\) 4.90636 + 4.90636i 0.599408 + 0.599408i 0.940155 0.340747i \(-0.110680\pi\)
−0.340747 + 0.940155i \(0.610680\pi\)
\(68\) 2.48912 + 0.0305156i 0.301851 + 0.00370056i
\(69\) −1.92377 4.68141i −0.231594 0.563576i
\(70\) 2.46151 + 0.856408i 0.294207 + 0.102360i
\(71\) 4.13251i 0.490439i −0.969468 0.245220i \(-0.921140\pi\)
0.969468 0.245220i \(-0.0788601\pi\)
\(72\) −7.91501 + 3.05821i −0.932793 + 0.360414i
\(73\) 4.69820 + 4.69820i 0.549883 + 0.549883i 0.926407 0.376524i \(-0.122881\pi\)
−0.376524 + 0.926407i \(0.622881\pi\)
\(74\) 4.49972 + 1.89624i 0.523082 + 0.220433i
\(75\) 2.28895 8.35229i 0.264305 0.964439i
\(76\) −9.05987 + 8.84042i −1.03924 + 1.01407i
\(77\) −2.14814 + 2.14814i −0.244803 + 0.244803i
\(78\) 9.43750 + 9.60756i 1.06859 + 1.08784i
\(79\) 1.10079i 0.123848i −0.998081 0.0619241i \(-0.980276\pi\)
0.998081 0.0619241i \(-0.0197237\pi\)
\(80\) 8.93730 0.353117i 0.999220 0.0394797i
\(81\) −0.100786 + 8.99944i −0.0111985 + 0.999937i
\(82\) −0.345554 0.848922i −0.0381601 0.0937478i
\(83\) 6.27439 + 6.27439i 0.688703 + 0.688703i 0.961945 0.273242i \(-0.0880960\pi\)
−0.273242 + 0.961945i \(0.588096\pi\)
\(84\) 2.62091 + 1.13215i 0.285965 + 0.123528i
\(85\) −1.83806 + 2.08982i −0.199366 + 0.226673i
\(86\) 0.636420 1.51020i 0.0686269 0.162849i
\(87\) −2.19169 0.915024i −0.234974 0.0981009i
\(88\) −4.16621 + 9.55717i −0.444119 + 1.01880i
\(89\) −15.3562 −1.62775 −0.813875 0.581040i \(-0.802646\pi\)
−0.813875 + 0.581040i \(0.802646\pi\)
\(90\) 3.16749 8.94243i 0.333883 0.942615i
\(91\) 4.53130i 0.475009i
\(92\) −0.0716428 + 5.84382i −0.00746928 + 0.609260i
\(93\) −2.21595 + 5.30771i −0.229784 + 0.550384i
\(94\) 11.5836 + 4.88148i 1.19476 + 0.503486i
\(95\) −0.905253 14.1235i −0.0928770 1.44904i
\(96\) 9.79248 + 0.327652i 0.999441 + 0.0334409i
\(97\) −5.42154 + 5.42154i −0.550474 + 0.550474i −0.926578 0.376104i \(-0.877264\pi\)
0.376104 + 0.926578i \(0.377264\pi\)
\(98\) 3.37008 + 8.27927i 0.340430 + 0.836333i
\(99\) 7.77542 + 7.86299i 0.781459 + 0.790260i
\(100\) −6.20705 + 7.84044i −0.620705 + 0.784044i
\(101\) 9.84442 0.979556 0.489778 0.871847i \(-0.337078\pi\)
0.489778 + 0.871847i \(0.337078\pi\)
\(102\) −2.17497 + 2.13647i −0.215354 + 0.211542i
\(103\) −8.28098 8.28098i −0.815949 0.815949i 0.169569 0.985518i \(-0.445762\pi\)
−0.985518 + 0.169569i \(0.945762\pi\)
\(104\) −5.68587 14.4741i −0.557545 1.41930i
\(105\) −2.86876 + 1.39962i −0.279962 + 0.136589i
\(106\) −10.3354 4.35547i −1.00386 0.423041i
\(107\) −5.84678 + 5.84678i −0.565230 + 0.565230i −0.930788 0.365559i \(-0.880878\pi\)
0.365559 + 0.930788i \(0.380878\pi\)
\(108\) 4.17444 9.51704i 0.401686 0.915777i
\(109\) −11.7033 −1.12097 −0.560487 0.828163i \(-0.689386\pi\)
−0.560487 + 0.828163i \(0.689386\pi\)
\(110\) −5.07618 10.4930i −0.483995 1.00047i
\(111\) −5.53152 + 2.27311i −0.525029 + 0.215754i
\(112\) −2.27324 2.38754i −0.214801 0.225601i
\(113\) 8.58333 8.58333i 0.807452 0.807452i −0.176796 0.984248i \(-0.556573\pi\)
0.984248 + 0.176796i \(0.0565731\pi\)
\(114\) 0.138429 15.5027i 0.0129651 1.45196i
\(115\) −4.90636 4.31530i −0.457521 0.402403i
\(116\) 1.91529 + 1.96283i 0.177830 + 0.182244i
\(117\) −16.4939 0.0923560i −1.52486 0.00853832i
\(118\) −3.26318 8.01666i −0.300400 0.737993i
\(119\) 1.02580 0.0940350
\(120\) −7.40729 + 8.07045i −0.676190 + 0.736728i
\(121\) 2.58708 0.235189
\(122\) 2.73771 + 6.72573i 0.247861 + 0.608919i
\(123\) 1.03589 + 0.432483i 0.0934033 + 0.0389956i
\(124\) 4.75347 4.63833i 0.426874 0.416535i
\(125\) −2.13372 10.9748i −0.190846 0.981620i
\(126\) −3.24594 + 1.30012i −0.289171 + 0.115824i
\(127\) −0.0146460 + 0.0146460i −0.00129962 + 0.00129962i −0.707756 0.706457i \(-0.750293\pi\)
0.706457 + 0.707756i \(0.250293\pi\)
\(128\) −10.2572 4.77393i −0.906615 0.421959i
\(129\) 0.762905 + 1.85650i 0.0671701 + 0.163456i
\(130\) 16.4209 + 5.71316i 1.44021 + 0.501077i
\(131\) 5.23989 0.457811 0.228906 0.973449i \(-0.426485\pi\)
0.228906 + 0.973449i \(0.426485\pi\)
\(132\) −4.70826 11.8692i −0.409801 1.03308i
\(133\) −3.68847 + 3.68847i −0.319831 + 0.319831i
\(134\) 9.04259 + 3.81066i 0.781161 + 0.329191i
\(135\) 5.03613 + 10.4708i 0.433441 + 0.901182i
\(136\) 3.27666 1.28717i 0.280972 0.110374i
\(137\) −14.0984 14.0984i −1.20450 1.20450i −0.972782 0.231722i \(-0.925564\pi\)
−0.231722 0.972782i \(-0.574436\pi\)
\(138\) −5.01588 5.10627i −0.426980 0.434674i
\(139\) 9.22166 0.782171 0.391085 0.920354i \(-0.372100\pi\)
0.391085 + 0.920354i \(0.372100\pi\)
\(140\) 3.68084 0.190650i 0.311088 0.0161128i
\(141\) −14.2398 + 5.85165i −1.19921 + 0.492798i
\(142\) −2.20336 5.41300i −0.184902 0.454249i
\(143\) −14.3304 + 14.3304i −1.19836 + 1.19836i
\(144\) −8.73695 + 8.22592i −0.728079 + 0.685493i
\(145\) −3.05987 + 0.196124i −0.254109 + 0.0162872i
\(146\) 8.65895 + 3.64899i 0.716619 + 0.301993i
\(147\) −10.1027 4.21787i −0.833260 0.347884i
\(148\) 6.90501 + 0.0846526i 0.567589 + 0.00695840i
\(149\) 14.0054i 1.14737i 0.819076 + 0.573685i \(0.194487\pi\)
−0.819076 + 0.573685i \(0.805513\pi\)
\(150\) −1.45506 12.1607i −0.118805 0.992918i
\(151\) 13.1301 1.06851 0.534255 0.845323i \(-0.320592\pi\)
0.534255 + 0.845323i \(0.320592\pi\)
\(152\) −7.15361 + 16.4102i −0.580234 + 1.33104i
\(153\) 0.0209077 3.73391i 0.00169028 0.301869i
\(154\) −1.66841 + 3.95909i −0.134444 + 0.319032i
\(155\) 0.474962 + 7.41023i 0.0381498 + 0.595204i
\(156\) 17.4843 + 7.55265i 1.39986 + 0.604696i
\(157\) 6.36936 + 6.36936i 0.508330 + 0.508330i 0.914014 0.405683i \(-0.132966\pi\)
−0.405683 + 0.914014i \(0.632966\pi\)
\(158\) −0.586914 1.44187i −0.0466924 0.114709i
\(159\) 12.7054 5.22110i 1.00760 0.414060i
\(160\) 11.5183 5.22770i 0.910601 0.413286i
\(161\) 2.40831i 0.189802i
\(162\) 4.66628 + 11.8417i 0.366618 + 0.930372i
\(163\) 3.46013 3.46013i 0.271018 0.271018i −0.558492 0.829510i \(-0.688620\pi\)
0.829510 + 0.558492i \(0.188620\pi\)
\(164\) −0.905253 0.927724i −0.0706884 0.0724431i
\(165\) 13.4989 + 4.64619i 1.05088 + 0.361706i
\(166\) 11.5639 + 4.87318i 0.897533 + 0.378232i
\(167\) 0.954151 + 0.954151i 0.0738345 + 0.0738345i 0.743060 0.669225i \(-0.233374\pi\)
−0.669225 + 0.743060i \(0.733374\pi\)
\(168\) 4.03666 + 0.0855420i 0.311435 + 0.00659971i
\(169\) 17.2286i 1.32528i
\(170\) −1.29335 + 3.71738i −0.0991955 + 0.285110i
\(171\) 13.3508 + 13.5012i 1.02096 + 1.03246i
\(172\) 0.0284113 2.31747i 0.00216634 0.176706i
\(173\) 1.80240 + 1.80240i 0.137034 + 0.137034i 0.772296 0.635262i \(-0.219108\pi\)
−0.635262 + 0.772296i \(0.719108\pi\)
\(174\) −3.35867 0.0299909i −0.254620 0.00227360i
\(175\) −2.51801 + 3.26202i −0.190344 + 0.246585i
\(176\) −0.361463 + 14.7398i −0.0272463 + 1.11106i
\(177\) 9.78228 + 4.08408i 0.735281 + 0.306978i
\(178\) −20.1144 + 8.18756i −1.50763 + 0.613683i
\(179\) 24.0166i 1.79508i −0.440930 0.897541i \(-0.645351\pi\)
0.440930 0.897541i \(-0.354649\pi\)
\(180\) −0.618942 13.4021i −0.0461332 0.998935i
\(181\) 21.7210i 1.61451i −0.590205 0.807253i \(-0.700953\pi\)
0.590205 0.807253i \(-0.299047\pi\)
\(182\) −2.41599 5.93535i −0.179085 0.439957i
\(183\) −8.20703 3.42641i −0.606681 0.253288i
\(184\) 3.02195 + 7.69276i 0.222781 + 0.567117i
\(185\) −5.09892 + 5.79732i −0.374880 + 0.426228i
\(186\) −0.0726302 + 8.13383i −0.00532550 + 0.596401i
\(187\) −3.24412 3.24412i −0.237234 0.237234i
\(188\) 17.7755 + 0.217921i 1.29641 + 0.0158935i
\(189\) 1.67201 3.94259i 0.121621 0.286781i
\(190\) −8.71609 18.0171i −0.632331 1.30710i
\(191\) 12.9839i 0.939479i −0.882805 0.469739i \(-0.844348\pi\)
0.882805 0.469739i \(-0.155652\pi\)
\(192\) 13.0014 4.79195i 0.938297 0.345829i
\(193\) 9.48630 + 9.48630i 0.682839 + 0.682839i 0.960639 0.277800i \(-0.0896053\pi\)
−0.277800 + 0.960639i \(0.589605\pi\)
\(194\) −4.21079 + 9.99208i −0.302317 + 0.717389i
\(195\) −19.1377 + 9.33695i −1.37048 + 0.668633i
\(196\) 8.82864 + 9.04780i 0.630617 + 0.646272i
\(197\) 12.8606 12.8606i 0.916280 0.916280i −0.0804765 0.996757i \(-0.525644\pi\)
0.996757 + 0.0804765i \(0.0256442\pi\)
\(198\) 14.3770 + 6.15370i 1.02173 + 0.437324i
\(199\) 0.0463625i 0.00328655i 0.999999 + 0.00164328i \(0.000523071\pi\)
−0.999999 + 0.00164328i \(0.999477\pi\)
\(200\) −3.94999 + 13.5793i −0.279306 + 0.960202i
\(201\) −11.1161 + 4.56802i −0.784069 + 0.322203i
\(202\) 12.8948 5.24882i 0.907273 0.369306i
\(203\) 0.799111 + 0.799111i 0.0560866 + 0.0560866i
\(204\) −1.70978 + 3.95812i −0.119708 + 0.277123i
\(205\) 1.44624 0.0926972i 0.101010 0.00647425i
\(206\) −15.2621 6.43165i −1.06336 0.448115i
\(207\) 8.76625 + 0.0490858i 0.609296 + 0.00341170i
\(208\) −15.1649 15.9274i −1.05150 1.10437i
\(209\) 23.3298 1.61376
\(210\) −3.01141 + 3.36285i −0.207807 + 0.232059i
\(211\) 0.591066i 0.0406907i −0.999793 0.0203453i \(-0.993523\pi\)
0.999793 0.0203453i \(-0.00647657\pi\)
\(212\) −15.8601 0.194439i −1.08928 0.0133541i
\(213\) 6.60518 + 2.75765i 0.452579 + 0.188951i
\(214\) −4.54107 + 10.7758i −0.310421 + 0.736619i
\(215\) 1.94571 + 1.71131i 0.132696 + 0.116710i
\(216\) 0.393647 14.6917i 0.0267843 0.999641i
\(217\) 1.93524 1.93524i 0.131373 0.131373i
\(218\) −15.3296 + 6.23994i −1.03825 + 0.422622i
\(219\) −10.6445 + 4.37421i −0.719287 + 0.295582i
\(220\) −12.2437 11.0378i −0.825470 0.744170i
\(221\) 6.84318 0.460322
\(222\) −6.03353 + 5.92673i −0.404944 + 0.397776i
\(223\) 16.8577 + 16.8577i 1.12888 + 1.12888i 0.990360 + 0.138517i \(0.0442335\pi\)
0.138517 + 0.990360i \(0.455767\pi\)
\(224\) −4.25060 1.91529i −0.284005 0.127970i
\(225\) 11.8224 + 9.23204i 0.788161 + 0.615470i
\(226\) 6.66649 15.8194i 0.443448 1.05229i
\(227\) 7.23390 7.23390i 0.480131 0.480131i −0.425043 0.905173i \(-0.639741\pi\)
0.905173 + 0.425043i \(0.139741\pi\)
\(228\) −8.08434 20.3800i −0.535399 1.34970i
\(229\) 23.0081 1.52042 0.760210 0.649677i \(-0.225096\pi\)
0.760210 + 0.649677i \(0.225096\pi\)
\(230\) −8.72744 3.03645i −0.575471 0.200218i
\(231\) −2.00000 4.86692i −0.131590 0.320220i
\(232\) 3.55529 + 1.54984i 0.233416 + 0.101752i
\(233\) −4.45082 + 4.45082i −0.291583 + 0.291583i −0.837705 0.546122i \(-0.816103\pi\)
0.546122 + 0.837705i \(0.316103\pi\)
\(234\) −21.6539 + 8.67320i −1.41556 + 0.566985i
\(235\) −13.1261 + 14.9240i −0.856254 + 0.973536i
\(236\) −8.54860 8.76081i −0.556466 0.570280i
\(237\) 1.75944 + 0.734560i 0.114288 + 0.0477148i
\(238\) 1.34365 0.546934i 0.0870959 0.0354524i
\(239\) 4.03472 0.260984 0.130492 0.991449i \(-0.458344\pi\)
0.130492 + 0.991449i \(0.458344\pi\)
\(240\) −5.39950 + 14.5205i −0.348536 + 0.937295i
\(241\) −11.4612 −0.738279 −0.369139 0.929374i \(-0.620347\pi\)
−0.369139 + 0.929374i \(0.620347\pi\)
\(242\) 3.38871 1.37937i 0.217834 0.0886696i
\(243\) −14.3169 6.16646i −0.918432 0.395578i
\(244\) 7.17201 + 7.35005i 0.459141 + 0.470538i
\(245\) −14.1047 + 0.904047i −0.901116 + 0.0577574i
\(246\) 1.58746 + 0.0141751i 0.101213 + 0.000903769i
\(247\) −24.6060 + 24.6060i −1.56564 + 1.56564i
\(248\) 3.75331 8.60999i 0.238335 0.546735i
\(249\) −14.2156 + 5.84170i −0.900874 + 0.370203i
\(250\) −8.64641 13.2378i −0.546847 0.837233i
\(251\) −17.4804 −1.10335 −0.551677 0.834058i \(-0.686012\pi\)
−0.551677 + 0.834058i \(0.686012\pi\)
\(252\) −3.55851 + 3.43363i −0.224165 + 0.216299i
\(253\) 7.61636 7.61636i 0.478836 0.478836i
\(254\) −0.0113752 + 0.0269930i −0.000713745 + 0.00169369i
\(255\) −2.11371 4.33241i −0.132366 0.271306i
\(256\) −15.9808 0.784260i −0.998798 0.0490162i
\(257\) 6.77283 + 6.77283i 0.422477 + 0.422477i 0.886056 0.463578i \(-0.153435\pi\)
−0.463578 + 0.886056i \(0.653435\pi\)
\(258\) 1.98914 + 2.02498i 0.123838 + 0.126070i
\(259\) 2.84565 0.176820
\(260\) 24.5551 1.27184i 1.52284 0.0788760i
\(261\) 2.92505 2.89247i 0.181056 0.179040i
\(262\) 6.86350 2.79379i 0.424028 0.172601i
\(263\) 15.3708 15.3708i 0.947805 0.947805i −0.0508987 0.998704i \(-0.516209\pi\)
0.998704 + 0.0508987i \(0.0162086\pi\)
\(264\) −12.4955 13.0366i −0.769046 0.802345i
\(265\) 11.7117 13.3159i 0.719445 0.817987i
\(266\) −2.86476 + 6.79798i −0.175649 + 0.416811i
\(267\) 10.2472 24.5444i 0.627121 1.50209i
\(268\) 13.8762 + 0.170117i 0.847627 + 0.0103916i
\(269\) 9.58859i 0.584627i 0.956323 + 0.292313i \(0.0944250\pi\)
−0.956323 + 0.292313i \(0.905575\pi\)
\(270\) 12.1794 + 11.0301i 0.741214 + 0.671268i
\(271\) −20.9078 −1.27006 −0.635030 0.772487i \(-0.719012\pi\)
−0.635030 + 0.772487i \(0.719012\pi\)
\(272\) 3.60567 3.43306i 0.218626 0.208160i
\(273\) 7.24257 + 3.02376i 0.438341 + 0.183006i
\(274\) −25.9837 10.9499i −1.56974 0.661507i
\(275\) 18.2795 2.35293i 1.10230 0.141887i
\(276\) −9.29263 4.01412i −0.559350 0.241621i
\(277\) −8.86336 8.86336i −0.532547 0.532547i 0.388782 0.921330i \(-0.372896\pi\)
−0.921330 + 0.388782i \(0.872896\pi\)
\(278\) 12.0790 4.91678i 0.724453 0.294889i
\(279\) −7.00483 7.08372i −0.419368 0.424091i
\(280\) 4.71972 2.21226i 0.282057 0.132208i
\(281\) 12.1925i 0.727341i −0.931528 0.363670i \(-0.881523\pi\)
0.931528 0.363670i \(-0.118477\pi\)
\(282\) −15.5321 + 15.2571i −0.924922 + 0.908550i
\(283\) −11.6799 + 11.6799i −0.694298 + 0.694298i −0.963175 0.268877i \(-0.913348\pi\)
0.268877 + 0.963175i \(0.413348\pi\)
\(284\) −5.77217 5.91546i −0.342516 0.351018i
\(285\) 23.1783 + 7.97778i 1.37296 + 0.472563i
\(286\) −11.1301 + 26.4113i −0.658135 + 1.56173i
\(287\) −0.377697 0.377697i −0.0222947 0.0222947i
\(288\) −7.05827 + 15.4331i −0.415912 + 0.909405i
\(289\) 15.4508i 0.908872i
\(290\) −3.90342 + 1.88835i −0.229217 + 0.110888i
\(291\) −5.04767 12.2833i −0.295900 0.720060i
\(292\) 13.2875 + 0.162900i 0.777594 + 0.00953298i
\(293\) −5.16432 5.16432i −0.301703 0.301703i 0.539977 0.841680i \(-0.318433\pi\)
−0.841680 + 0.539977i \(0.818433\pi\)
\(294\) −15.4820 0.138245i −0.902929 0.00806261i
\(295\) 13.6573 0.875370i 0.795158 0.0509660i
\(296\) 9.08971 3.57071i 0.528328 0.207544i
\(297\) −17.7563 + 7.18079i −1.03033 + 0.416672i
\(298\) 7.46739 + 18.3451i 0.432574 + 1.06270i
\(299\) 16.0660i 0.929122i
\(300\) −8.38974 15.1530i −0.484382 0.874857i
\(301\) 0.955061i 0.0550488i
\(302\) 17.1985 7.00066i 0.989663 0.402843i
\(303\) −6.56923 + 15.7348i −0.377392 + 0.903939i
\(304\) −0.620652 + 25.3091i −0.0355968 + 1.45158i
\(305\) −11.4580 + 0.734409i −0.656086 + 0.0420521i
\(306\) −1.96345 4.90203i −0.112243 0.280230i
\(307\) 9.19824 + 9.19824i 0.524972 + 0.524972i 0.919069 0.394097i \(-0.128943\pi\)
−0.394097 + 0.919069i \(0.628943\pi\)
\(308\) −0.0744818 + 6.07539i −0.00424399 + 0.346177i
\(309\) 18.7618 7.70992i 1.06732 0.438602i
\(310\) 4.57310 + 9.45309i 0.259734 + 0.536899i
\(311\) 30.5690i 1.73341i 0.498821 + 0.866705i \(0.333767\pi\)
−0.498821 + 0.866705i \(0.666233\pi\)
\(312\) 26.9288 + 0.570656i 1.52454 + 0.0323071i
\(313\) −16.4612 16.4612i −0.930440 0.930440i 0.0672931 0.997733i \(-0.478564\pi\)
−0.997733 + 0.0672931i \(0.978564\pi\)
\(314\) 11.7389 + 4.94694i 0.662467 + 0.279172i
\(315\) −0.322737 5.51923i −0.0181842 0.310974i
\(316\) −1.53755 1.57571i −0.0864937 0.0886408i
\(317\) −0.000616701 0 0.000616701i −3.46374e−5 0 3.46374e-5i −0.707124 0.707089i \(-0.750008\pi\)
0.707089 + 0.707124i \(0.250008\pi\)
\(318\) 13.8584 13.6131i 0.777141 0.763385i
\(319\) 5.05442i 0.282993i
\(320\) 12.3000 12.9888i 0.687592 0.726097i
\(321\) −5.44358 13.2468i −0.303831 0.739362i
\(322\) 1.28406 + 3.15454i 0.0715578 + 0.175796i
\(323\) −5.57034 5.57034i −0.309942 0.309942i
\(324\) 12.4259 + 13.0230i 0.690327 + 0.723498i
\(325\) −16.7978 + 21.7611i −0.931777 + 1.20709i
\(326\) 2.68740 6.37713i 0.148842 0.353196i
\(327\) 7.80967 18.7059i 0.431876 1.03444i
\(328\) −1.68039 0.732524i −0.0927841 0.0404469i
\(329\) 7.32553 0.403870
\(330\) 20.1588 1.11145i 1.10971 0.0611831i
\(331\) 8.28613i 0.455447i −0.973726 0.227724i \(-0.926872\pi\)
0.973726 0.227724i \(-0.0731283\pi\)
\(332\) 17.7453 + 0.217550i 0.973901 + 0.0119396i
\(333\) 0.0579994 10.3581i 0.00317835 0.567622i
\(334\) 1.75853 + 0.741069i 0.0962226 + 0.0405495i
\(335\) −10.2467 + 11.6502i −0.559839 + 0.636521i
\(336\) 5.33305 2.04021i 0.290942 0.111302i
\(337\) 2.27666 2.27666i 0.124018 0.124018i −0.642374 0.766392i \(-0.722050\pi\)
0.766392 + 0.642374i \(0.222050\pi\)
\(338\) −9.18590 22.5670i −0.499647 1.22748i
\(339\) 7.99142 + 19.4468i 0.434035 + 1.05621i
\(340\) 0.287920 + 5.55882i 0.0156147 + 0.301469i
\(341\) −12.2405 −0.662861
\(342\) 24.6862 + 10.5663i 1.33488 + 0.571357i
\(343\) 7.76296 + 7.76296i 0.419161 + 0.419161i
\(344\) −1.19841 3.05070i −0.0646139 0.164483i
\(345\) 10.1714 4.96244i 0.547608 0.267169i
\(346\) 3.32189 + 1.39989i 0.178586 + 0.0752584i
\(347\) −18.6384 + 18.6384i −1.00056 + 1.00056i −0.000564305 1.00000i \(0.500180\pi\)
−1.00000 0.000564305i \(0.999820\pi\)
\(348\) −4.41536 + 1.75148i −0.236688 + 0.0938892i
\(349\) −17.7267 −0.948889 −0.474445 0.880285i \(-0.657351\pi\)
−0.474445 + 0.880285i \(0.657351\pi\)
\(350\) −1.55900 + 5.61532i −0.0833321 + 0.300152i
\(351\) 11.1541 26.3013i 0.595360 1.40386i
\(352\) 7.38548 + 19.4998i 0.393648 + 1.03934i
\(353\) −10.5779 + 10.5779i −0.563007 + 0.563007i −0.930160 0.367153i \(-0.880332\pi\)
0.367153 + 0.930160i \(0.380332\pi\)
\(354\) 14.9909 + 0.133860i 0.796758 + 0.00711457i
\(355\) 9.22166 0.591066i 0.489435 0.0313705i
\(356\) −21.9815 + 21.4490i −1.16502 + 1.13680i
\(357\) −0.684521 + 1.63958i −0.0362287 + 0.0867759i
\(358\) −12.8051 31.4582i −0.676770 1.66262i
\(359\) −24.7266 −1.30502 −0.652510 0.757780i \(-0.726284\pi\)
−0.652510 + 0.757780i \(0.726284\pi\)
\(360\) −7.95643 17.2248i −0.419341 0.907829i
\(361\) 21.0586 1.10835
\(362\) −11.5811 28.4513i −0.608691 1.49537i
\(363\) −1.72637 + 4.13505i −0.0906111 + 0.217034i
\(364\) −6.32919 6.48630i −0.331739 0.339974i
\(365\) −9.81201 + 11.1560i −0.513584 + 0.583930i
\(366\) −12.5769 0.112304i −0.657406 0.00587024i
\(367\) 9.33767 9.33767i 0.487423 0.487423i −0.420069 0.907492i \(-0.637994\pi\)
0.907492 + 0.420069i \(0.137994\pi\)
\(368\) 8.05992 + 8.46516i 0.420152 + 0.441277i
\(369\) −1.38251 + 1.36712i −0.0719707 + 0.0711692i
\(370\) −3.58785 + 10.3123i −0.186524 + 0.536110i
\(371\) −6.53616 −0.339341
\(372\) 4.24164 + 10.6929i 0.219919 + 0.554399i
\(373\) −11.9025 + 11.9025i −0.616291 + 0.616291i −0.944578 0.328287i \(-0.893529\pi\)
0.328287 + 0.944578i \(0.393529\pi\)
\(374\) −5.97903 2.51964i −0.309168 0.130288i
\(375\) 18.9654 + 3.91314i 0.979370 + 0.202074i
\(376\) 23.3996 9.19207i 1.20674 0.474045i
\(377\) 5.33092 + 5.33092i 0.274557 + 0.274557i
\(378\) 0.0879865 6.05570i 0.00452554 0.311472i
\(379\) −2.73341 −0.140406 −0.0702029 0.997533i \(-0.522365\pi\)
−0.0702029 + 0.997533i \(0.522365\pi\)
\(380\) −21.0231 18.9526i −1.07846 0.972247i
\(381\) −0.0136360 0.0331827i −0.000698593 0.00170000i
\(382\) −6.92270 17.0070i −0.354196 0.870153i
\(383\) 17.6065 17.6065i 0.899651 0.899651i −0.0957539 0.995405i \(-0.530526\pi\)
0.995405 + 0.0957539i \(0.0305262\pi\)
\(384\) 14.4750 13.2088i 0.738676 0.674060i
\(385\) −5.10079 4.48630i −0.259960 0.228643i
\(386\) 17.4836 + 7.36780i 0.889890 + 0.375011i
\(387\) −3.47642 0.0194659i −0.176716 0.000989506i
\(388\) −0.187980 + 15.3333i −0.00954322 + 0.778429i
\(389\) 25.1335i 1.27432i 0.770731 + 0.637160i \(0.219891\pi\)
−0.770731 + 0.637160i \(0.780109\pi\)
\(390\) −20.0893 + 22.4338i −1.01726 + 1.13598i
\(391\) −3.63704 −0.183933
\(392\) 16.3883 + 7.14408i 0.827736 + 0.360831i
\(393\) −3.49660 + 8.37515i −0.176380 + 0.422470i
\(394\) 9.98855 23.7025i 0.503216 1.19412i
\(395\) 2.45639 0.157444i 0.123594 0.00792185i
\(396\) 22.1129 + 0.394941i 1.11121 + 0.0198465i
\(397\) 5.42664 + 5.42664i 0.272355 + 0.272355i 0.830048 0.557692i \(-0.188313\pi\)
−0.557692 + 0.830048i \(0.688313\pi\)
\(398\) 0.0247195 + 0.0607282i 0.00123907 + 0.00304403i
\(399\) −3.43411 8.35678i −0.171921 0.418362i
\(400\) 2.06626 + 19.8930i 0.103313 + 0.994649i
\(401\) 5.15831i 0.257594i 0.991671 + 0.128797i \(0.0411115\pi\)
−0.991671 + 0.128797i \(0.958888\pi\)
\(402\) −12.1249 + 11.9103i −0.604736 + 0.594032i
\(403\) 12.9101 12.9101i 0.643099 0.643099i
\(404\) 14.0917 13.7504i 0.701090 0.684108i
\(405\) −20.0966 + 1.06227i −0.998606 + 0.0527847i
\(406\) 1.47279 + 0.620652i 0.0730933 + 0.0308025i
\(407\) −8.99944 8.99944i −0.446085 0.446085i
\(408\) −0.129186 + 6.09617i −0.00639565 + 0.301806i
\(409\) 14.1638i 0.700356i 0.936683 + 0.350178i \(0.113879\pi\)
−0.936683 + 0.350178i \(0.886121\pi\)
\(410\) 1.84494 0.892521i 0.0911149 0.0440785i
\(411\) 31.9419 13.1261i 1.57558 0.647464i
\(412\) −23.4204 0.287124i −1.15384 0.0141456i
\(413\) −3.56672 3.56672i −0.175507 0.175507i
\(414\) 11.5087 4.60967i 0.565621 0.226553i
\(415\) −13.1038 + 14.8986i −0.643241 + 0.731345i
\(416\) −28.3560 12.7770i −1.39027 0.626444i
\(417\) −6.15365 + 14.7394i −0.301346 + 0.721791i
\(418\) 30.5587 12.4389i 1.49467 0.608407i
\(419\) 4.80514i 0.234746i 0.993088 + 0.117373i \(0.0374474\pi\)
−0.993088 + 0.117373i \(0.962553\pi\)
\(420\) −2.15152 + 6.01047i −0.104983 + 0.293281i
\(421\) 15.2187i 0.741716i 0.928690 + 0.370858i \(0.120936\pi\)
−0.928690 + 0.370858i \(0.879064\pi\)
\(422\) −0.315143 0.774212i −0.0153409 0.0376880i
\(423\) 0.149308 26.6649i 0.00725958 1.29649i
\(424\) −20.8781 + 8.20157i −1.01393 + 0.398304i
\(425\) −4.92631 3.80272i −0.238961 0.184459i
\(426\) 10.1221 + 0.0903846i 0.490420 + 0.00437915i
\(427\) 2.99236 + 2.99236i 0.144811 + 0.144811i
\(428\) −0.202724 + 16.5359i −0.00979903 + 0.799295i
\(429\) −13.3421 32.4676i −0.644164 1.56755i
\(430\) 3.46103 + 1.20416i 0.166906 + 0.0580698i
\(431\) 27.8760i 1.34274i 0.741122 + 0.671370i \(0.234294\pi\)
−0.741122 + 0.671370i \(0.765706\pi\)
\(432\) −7.31764 19.4538i −0.352070 0.935974i
\(433\) −2.78003 2.78003i −0.133600 0.133600i 0.637145 0.770744i \(-0.280115\pi\)
−0.770744 + 0.637145i \(0.780115\pi\)
\(434\) 1.50306 3.56672i 0.0721492 0.171208i
\(435\) 1.72839 5.02160i 0.0828701 0.240767i
\(436\) −16.7526 + 16.3468i −0.802305 + 0.782872i
\(437\) 13.0777 13.0777i 0.625592 0.625592i
\(438\) −11.6105 + 11.4050i −0.554771 + 0.544951i
\(439\) 10.8174i 0.516286i 0.966107 + 0.258143i \(0.0831105\pi\)
−0.966107 + 0.258143i \(0.916889\pi\)
\(440\) −21.9226 7.92990i −1.04512 0.378043i
\(441\) 13.4832 13.3331i 0.642058 0.634907i
\(442\) 8.96358 3.64863i 0.426354 0.173548i
\(443\) 5.74963 + 5.74963i 0.273173 + 0.273173i 0.830376 0.557203i \(-0.188126\pi\)
−0.557203 + 0.830376i \(0.688126\pi\)
\(444\) −4.74305 + 10.9801i −0.225095 + 0.521092i
\(445\) −2.19637 34.2671i −0.104118 1.62442i
\(446\) 31.0693 + 13.0930i 1.47118 + 0.619973i
\(447\) −22.3855 9.34590i −1.05880 0.442046i
\(448\) −6.58885 0.242427i −0.311294 0.0114536i
\(449\) 6.91183 0.326189 0.163095 0.986610i \(-0.447852\pi\)
0.163095 + 0.986610i \(0.447852\pi\)
\(450\) 20.4080 + 5.78920i 0.962041 + 0.272906i
\(451\) 2.38895i 0.112491i
\(452\) 0.297608 24.2755i 0.0139983 1.14182i
\(453\) −8.76176 + 20.9864i −0.411663 + 0.986026i
\(454\) 5.61841 13.3323i 0.263685 0.625716i
\(455\) 10.1115 0.648104i 0.474036 0.0303836i
\(456\) −21.4555 22.3845i −1.00475 1.04825i
\(457\) −5.15748 + 5.15748i −0.241257 + 0.241257i −0.817370 0.576113i \(-0.804569\pi\)
0.576113 + 0.817370i \(0.304569\pi\)
\(458\) 30.1373 12.2674i 1.40823 0.573219i
\(459\) 5.95412 + 2.52507i 0.277915 + 0.117860i
\(460\) −13.0507 + 0.675961i −0.608490 + 0.0315169i
\(461\) 18.4555 0.859558 0.429779 0.902934i \(-0.358592\pi\)
0.429779 + 0.902934i \(0.358592\pi\)
\(462\) −5.21464 5.30861i −0.242607 0.246979i
\(463\) −19.6899 19.6899i −0.915068 0.915068i 0.0815977 0.996665i \(-0.473998\pi\)
−0.996665 + 0.0815977i \(0.973998\pi\)
\(464\) 5.48325 + 0.134465i 0.254553 + 0.00624238i
\(465\) −12.1610 4.18572i −0.563955 0.194108i
\(466\) −3.45685 + 8.20301i −0.160136 + 0.379997i
\(467\) 2.07946 2.07946i 0.0962257 0.0962257i −0.657355 0.753581i \(-0.728325\pi\)
0.753581 + 0.657355i \(0.228325\pi\)
\(468\) −23.7391 + 22.9060i −1.09734 + 1.05883i
\(469\) 5.71858 0.264060
\(470\) −9.23619 + 26.5469i −0.426034 + 1.22452i
\(471\) −14.4307 + 5.93013i −0.664933 + 0.273246i
\(472\) −15.8685 6.91747i −0.730407 0.318402i
\(473\) −3.02041 + 3.02041i −0.138879 + 0.138879i
\(474\) 2.69626 + 0.0240759i 0.123843 + 0.00110584i
\(475\) 31.3870 4.04012i 1.44013 0.185374i
\(476\) 1.46838 1.43281i 0.0673029 0.0656727i
\(477\) −0.133219 + 23.7916i −0.00609967 + 1.08934i
\(478\) 5.28490 2.15122i 0.241725 0.0983945i
\(479\) 19.7088 0.900517 0.450259 0.892898i \(-0.351332\pi\)
0.450259 + 0.892898i \(0.351332\pi\)
\(480\) 0.669449 + 21.8987i 0.0305560 + 0.999533i
\(481\) 18.9835 0.865573
\(482\) −15.0125 + 6.11083i −0.683799 + 0.278341i
\(483\) −3.84931 1.60708i −0.175150 0.0731246i
\(484\) 3.70326 3.61356i 0.168330 0.164253i
\(485\) −12.8735 11.3227i −0.584557 0.514136i
\(486\) −22.0409 0.443697i −0.999797 0.0201265i
\(487\) 4.21395 4.21395i 0.190952 0.190952i −0.605155 0.796107i \(-0.706889\pi\)
0.796107 + 0.605155i \(0.206889\pi\)
\(488\) 13.3132 + 5.80354i 0.602659 + 0.262714i
\(489\) 3.22151 + 7.83943i 0.145682 + 0.354511i
\(490\) −17.9931 + 8.70447i −0.812845 + 0.393228i
\(491\) −27.7215 −1.25105 −0.625527 0.780203i \(-0.715116\pi\)
−0.625527 + 0.780203i \(0.715116\pi\)
\(492\) 2.08690 0.827831i 0.0940848 0.0373215i
\(493\) −1.20682 + 1.20682i −0.0543525 + 0.0543525i
\(494\) −19.1110 + 45.3497i −0.859843 + 2.04038i
\(495\) −16.4341 + 18.4754i −0.738656 + 0.830407i
\(496\) 0.325640 13.2790i 0.0146216 0.596246i
\(497\) −2.40831 2.40831i −0.108028 0.108028i
\(498\) −15.5057 + 15.2312i −0.694825 + 0.682527i
\(499\) −5.14705 −0.230414 −0.115207 0.993342i \(-0.536753\pi\)
−0.115207 + 0.993342i \(0.536753\pi\)
\(500\) −18.3836 12.7296i −0.822142 0.569283i
\(501\) −2.16177 + 0.888353i −0.0965809 + 0.0396887i
\(502\) −22.8968 + 9.32016i −1.02193 + 0.415979i
\(503\) 12.2281 12.2281i 0.545224 0.545224i −0.379832 0.925056i \(-0.624018\pi\)
0.925056 + 0.379832i \(0.124018\pi\)
\(504\) −2.83040 + 6.39488i −0.126076 + 0.284851i
\(505\) 1.40803 + 21.9677i 0.0626565 + 0.977550i
\(506\) 5.91546 14.0372i 0.262974 0.624030i
\(507\) 27.5372 + 11.4967i 1.22297 + 0.510587i
\(508\) −0.000507817 0.0414220i −2.25307e−5 0.00183780i
\(509\) 35.8361i 1.58841i −0.607651 0.794204i \(-0.707888\pi\)
0.607651 0.794204i \(-0.292112\pi\)
\(510\) −5.07860 4.54785i −0.224884 0.201382i
\(511\) 5.47596 0.242242
\(512\) −21.3506 + 7.49332i −0.943574 + 0.331161i
\(513\) −30.4886 + 12.3298i −1.34611 + 0.544375i
\(514\) 12.4825 + 5.26031i 0.550581 + 0.232022i
\(515\) 17.2945 19.6633i 0.762086 0.866469i
\(516\) 3.68516 + 1.59187i 0.162230 + 0.0700783i
\(517\) −23.1672 23.1672i −1.01889 1.01889i
\(518\) 3.72738 1.51723i 0.163772 0.0666634i
\(519\) −4.08361 + 1.67811i −0.179251 + 0.0736608i
\(520\) 31.4856 14.7582i 1.38073 0.647188i
\(521\) 18.1715i 0.796107i 0.917362 + 0.398054i \(0.130314\pi\)
−0.917362 + 0.398054i \(0.869686\pi\)
\(522\) 2.28919 5.34829i 0.100195 0.234088i
\(523\) 21.7444 21.7444i 0.950815 0.950815i −0.0480305 0.998846i \(-0.515294\pi\)
0.998846 + 0.0480305i \(0.0152945\pi\)
\(524\) 7.50061 7.31893i 0.327666 0.319729i
\(525\) −3.53355 6.20141i −0.154217 0.270652i
\(526\) 11.9382 28.3289i 0.520529 1.23520i
\(527\) 2.92261 + 2.92261i 0.127311 + 0.127311i
\(528\) −23.3181 10.4137i −1.01479 0.453198i
\(529\) 14.4612i 0.628746i
\(530\) 8.24093 23.6863i 0.357963 1.02887i
\(531\) −13.0555 + 12.9101i −0.566561 + 0.560252i
\(532\) −0.127889 + 10.4318i −0.00554471 + 0.452275i
\(533\) −2.51964 2.51964i −0.109138 0.109138i
\(534\) 0.335864 37.6133i 0.0145342 1.62768i
\(535\) −13.8833 12.2108i −0.600227 0.527918i
\(536\) 18.2666 7.17567i 0.788996 0.309942i
\(537\) 38.3867 + 16.0264i 1.65651 + 0.691589i
\(538\) 5.11242 + 12.5597i 0.220412 + 0.541486i
\(539\) 23.2987i 1.00355i
\(540\) 21.8342 + 7.95402i 0.939596 + 0.342286i
\(541\) 26.6843i 1.14725i 0.819119 + 0.573623i \(0.194463\pi\)
−0.819119 + 0.573623i \(0.805537\pi\)
\(542\) −27.3862 + 11.1476i −1.17634 + 0.478830i
\(543\) 34.7176 + 14.4945i 1.48987 + 0.622019i
\(544\) 2.89247 6.41927i 0.124014 0.275224i
\(545\) −1.67390 26.1158i −0.0717022 1.11868i
\(546\) 11.0989 + 0.0991067i 0.474990 + 0.00424138i
\(547\) −22.2551 22.2551i −0.951559 0.951559i 0.0473207 0.998880i \(-0.484932\pi\)
−0.998880 + 0.0473207i \(0.984932\pi\)
\(548\) −39.8732 0.488829i −1.70330 0.0208817i
\(549\) 10.9532 10.8312i 0.467470 0.462264i
\(550\) 22.6890 12.8282i 0.967462 0.546998i
\(551\) 8.67873i 0.369726i
\(552\) −14.3122 0.303295i −0.609169 0.0129091i
\(553\) −0.641507 0.641507i −0.0272797 0.0272797i
\(554\) −16.3355 6.88398i −0.694027 0.292472i
\(555\) −5.86358 12.0184i −0.248895 0.510153i
\(556\) 13.2003 12.8805i 0.559817 0.546257i
\(557\) −7.30615 + 7.30615i −0.309572 + 0.309572i −0.844743 0.535172i \(-0.820247\pi\)
0.535172 + 0.844743i \(0.320247\pi\)
\(558\) −12.9522 5.54383i −0.548310 0.234689i
\(559\) 6.37128i 0.269476i
\(560\) 5.00262 5.41419i 0.211399 0.228791i
\(561\) 7.35005 3.02041i 0.310319 0.127522i
\(562\) −6.50074 15.9704i −0.274217 0.673669i
\(563\) 21.3458 + 21.3458i 0.899616 + 0.899616i 0.995402 0.0957856i \(-0.0305363\pi\)
−0.0957856 + 0.995402i \(0.530536\pi\)
\(564\) −12.2100 + 28.2660i −0.514134 + 1.19021i
\(565\) 20.3813 + 17.9260i 0.857447 + 0.754150i
\(566\) −9.07152 + 21.5264i −0.381304 + 0.904823i
\(567\) 5.18588 + 5.30335i 0.217787 + 0.222720i
\(568\) −10.7147 4.67081i −0.449579 0.195983i
\(569\) 35.6410 1.49415 0.747075 0.664740i \(-0.231458\pi\)
0.747075 + 0.664740i \(0.231458\pi\)
\(570\) 34.6138 1.90842i 1.44981 0.0799347i
\(571\) 9.49296i 0.397268i 0.980074 + 0.198634i \(0.0636505\pi\)
−0.980074 + 0.198634i \(0.936350\pi\)
\(572\) −0.496873 + 40.5293i −0.0207753 + 1.69462i
\(573\) 20.7527 + 8.66419i 0.866955 + 0.361952i
\(574\) −0.696108 0.293349i −0.0290550 0.0122441i
\(575\) 8.92779 11.5657i 0.372314 0.482323i
\(576\) −1.01673 + 23.9785i −0.0423636 + 0.999102i
\(577\) 10.6312 10.6312i 0.442582 0.442582i −0.450297 0.892879i \(-0.648682\pi\)
0.892879 + 0.450297i \(0.148682\pi\)
\(578\) −8.23803 20.2384i −0.342657 0.841805i
\(579\) −21.4926 + 8.83212i −0.893203 + 0.367050i
\(580\) −4.10609 + 4.55468i −0.170496 + 0.189123i
\(581\) 7.31307 0.303397
\(582\) −13.1609 13.3981i −0.545537 0.555367i
\(583\) 20.6708 + 20.6708i 0.856097 + 0.856097i
\(584\) 17.4916 6.87124i 0.723808 0.284334i
\(585\) −2.15300 36.8192i −0.0890157 1.52229i
\(586\) −9.51801 4.01102i −0.393186 0.165694i
\(587\) −17.1910 + 17.1910i −0.709550 + 0.709550i −0.966441 0.256891i \(-0.917302\pi\)
0.256891 + 0.966441i \(0.417302\pi\)
\(588\) −20.3529 + 8.07357i −0.839339 + 0.332949i
\(589\) −21.0177 −0.866018
\(590\) 17.4224 8.42837i 0.717267 0.346990i
\(591\) 11.9737 + 29.1376i 0.492534 + 1.19856i
\(592\) 10.0024 9.52355i 0.411095 0.391415i
\(593\) −9.69544 + 9.69544i −0.398144 + 0.398144i −0.877578 0.479434i \(-0.840842\pi\)
0.479434 + 0.877578i \(0.340842\pi\)
\(594\) −19.4296 + 18.8731i −0.797206 + 0.774372i
\(595\) 0.146719 + 2.28906i 0.00601487 + 0.0938424i
\(596\) 19.5624 + 20.0480i 0.801307 + 0.821198i
\(597\) −0.0741033 0.0309379i −0.00303285 0.00126621i
\(598\) 8.56604 + 21.0442i 0.350291 + 0.860560i
\(599\) −26.8502 −1.09707 −0.548535 0.836128i \(-0.684814\pi\)
−0.548535 + 0.836128i \(0.684814\pi\)
\(600\) −19.0686 15.3750i −0.778471 0.627681i
\(601\) −42.9566 −1.75224 −0.876119 0.482095i \(-0.839876\pi\)
−0.876119 + 0.482095i \(0.839876\pi\)
\(602\) −0.509217 1.25099i −0.0207541 0.0509866i
\(603\) 0.116555 20.8156i 0.00474649 0.847677i
\(604\) 18.7950 18.3397i 0.764756 0.746232i
\(605\) 0.370026 + 5.77305i 0.0150437 + 0.234708i
\(606\) −0.215313 + 24.1128i −0.00874650 + 0.979517i
\(607\) 32.0417 32.0417i 1.30053 1.30053i 0.372498 0.928033i \(-0.378501\pi\)
0.928033 0.372498i \(-0.121499\pi\)
\(608\) 12.6813 + 33.4822i 0.514294 + 1.35788i
\(609\) −1.81051 + 0.744004i −0.0733654 + 0.0301486i
\(610\) −14.6168 + 7.07114i −0.591818 + 0.286302i
\(611\) 48.8691 1.97703
\(612\) −5.18549 5.37408i −0.209611 0.217234i
\(613\) 20.1419 20.1419i 0.813522 0.813522i −0.171638 0.985160i \(-0.554906\pi\)
0.985160 + 0.171638i \(0.0549060\pi\)
\(614\) 16.9527 + 7.14408i 0.684154 + 0.288311i
\(615\) −0.816918 + 2.37344i −0.0329413 + 0.0957064i
\(616\) 3.14170 + 7.99760i 0.126583 + 0.322232i
\(617\) 7.33463 + 7.33463i 0.295281 + 0.295281i 0.839162 0.543881i \(-0.183046\pi\)
−0.543881 + 0.839162i \(0.683046\pi\)
\(618\) 20.4645 20.1022i 0.823202 0.808631i
\(619\) −11.9287 −0.479456 −0.239728 0.970840i \(-0.577058\pi\)
−0.239728 + 0.970840i \(0.577058\pi\)
\(620\) 11.0303 + 9.94391i 0.442986 + 0.399357i
\(621\) −5.92821 + 13.9787i −0.237891 + 0.560947i
\(622\) 16.2987 + 40.0410i 0.653519 + 1.60550i
\(623\) −8.94914 + 8.94914i −0.358540 + 0.358540i
\(624\) 35.5771 13.6104i 1.42422 0.544850i
\(625\) 24.1851 6.33109i 0.967403 0.253244i
\(626\) −30.3385 12.7850i −1.21257 0.510993i
\(627\) −15.5681 + 37.2890i −0.621729 + 1.48918i
\(628\) 18.0139 + 0.220843i 0.718834 + 0.00881260i
\(629\) 4.29751i 0.171353i
\(630\) −3.36547 7.05732i −0.134084 0.281170i
\(631\) 7.13985 0.284233 0.142116 0.989850i \(-0.454609\pi\)
0.142116 + 0.989850i \(0.454609\pi\)
\(632\) −2.85410 1.24417i −0.113530 0.0494905i
\(633\) 0.944728 + 0.394421i 0.0375496 + 0.0156768i
\(634\) −0.000478978 0.00113660i −1.90227e−5 4.51402e-5i
\(635\) −0.0347772 0.0305876i −0.00138009 0.00121383i
\(636\) 10.8943 25.2202i 0.431988 1.00005i
\(637\) 24.5733 + 24.5733i 0.973628 + 0.973628i
\(638\) −2.69490 6.62057i −0.106692 0.262111i
\(639\) −8.81533 + 8.71716i −0.348729 + 0.344846i
\(640\) 9.18590 23.5716i 0.363104 0.931748i
\(641\) 30.0187i 1.18567i −0.805325 0.592834i \(-0.798009\pi\)
0.805325 0.592834i \(-0.201991\pi\)
\(642\) −14.1932 14.4489i −0.560160 0.570254i
\(643\) −32.7048 + 32.7048i −1.28975 + 1.28975i −0.354812 + 0.934938i \(0.615455\pi\)
−0.934938 + 0.354812i \(0.884545\pi\)
\(644\) 3.36386 + 3.44736i 0.132555 + 0.135845i
\(645\) −4.03364 + 1.96795i −0.158825 + 0.0774878i
\(646\) −10.2663 4.32637i −0.403923 0.170219i
\(647\) −2.53026 2.53026i −0.0994747 0.0994747i 0.655618 0.755093i \(-0.272408\pi\)
−0.755093 + 0.655618i \(0.772408\pi\)
\(648\) 23.2197 + 10.4330i 0.912154 + 0.409847i
\(649\) 22.5597i 0.885545i
\(650\) −10.4002 + 37.4602i −0.407929 + 1.46931i
\(651\) 1.80179 + 4.38458i 0.0706176 + 0.171845i
\(652\) 0.119972 9.78598i 0.00469847 0.383248i
\(653\) 23.8061 + 23.8061i 0.931604 + 0.931604i 0.997806 0.0662023i \(-0.0210883\pi\)
−0.0662023 + 0.997806i \(0.521088\pi\)
\(654\) 0.255970 28.6660i 0.0100092 1.12093i
\(655\) 0.749453 + 11.6928i 0.0292835 + 0.456874i
\(656\) −2.59164 0.0635543i −0.101186 0.00248138i
\(657\) 0.111610 19.9325i 0.00435432 0.777640i
\(658\) 9.59539 3.90581i 0.374067 0.152264i
\(659\) 15.7130i 0.612093i −0.952017 0.306047i \(-0.900994\pi\)
0.952017 0.306047i \(-0.0990063\pi\)
\(660\) 25.8125 12.2040i 1.00475 0.475042i
\(661\) 25.2637i 0.982643i −0.870978 0.491322i \(-0.836514\pi\)
0.870978 0.491322i \(-0.163486\pi\)
\(662\) −4.41798 10.8536i −0.171710 0.421839i
\(663\) −4.56649 + 10.9378i −0.177348 + 0.424788i
\(664\) 23.3598 9.17644i 0.906536 0.356115i
\(665\) −8.75834 7.70323i −0.339634 0.298718i
\(666\) −5.44675 13.5986i −0.211057 0.526935i
\(667\) −2.83330 2.83330i −0.109706 0.109706i
\(668\) 2.69854 + 0.0330830i 0.104410 + 0.00128002i
\(669\) −38.1937 + 15.6952i −1.47665 + 0.606812i
\(670\) −7.21011 + 20.7235i −0.278551 + 0.800617i
\(671\) 18.9269i 0.730664i
\(672\) 5.89773 5.51584i 0.227510 0.212778i
\(673\) −15.4486 15.4486i −0.595498 0.595498i 0.343613 0.939111i \(-0.388349\pi\)
−0.939111 + 0.343613i \(0.888349\pi\)
\(674\) 1.76824 4.19597i 0.0681099 0.161623i
\(675\) −22.6451 + 12.7357i −0.871612 + 0.490197i
\(676\) −24.0644 24.6618i −0.925554 0.948529i
\(677\) 3.86002 3.86002i 0.148353 0.148353i −0.629029 0.777382i \(-0.716547\pi\)
0.777382 + 0.629029i \(0.216547\pi\)
\(678\) 20.8362 + 21.2117i 0.800210 + 0.814630i
\(679\) 6.31904i 0.242503i
\(680\) 3.34097 + 7.12774i 0.128120 + 0.273336i
\(681\) 6.73505 + 16.3895i 0.258088 + 0.628046i
\(682\) −16.0333 + 6.52637i −0.613947 + 0.249908i
\(683\) −20.9584 20.9584i −0.801949 0.801949i 0.181451 0.983400i \(-0.441921\pi\)
−0.983400 + 0.181451i \(0.941921\pi\)
\(684\) 37.9691 + 0.678136i 1.45178 + 0.0259292i
\(685\) 29.4439 33.4768i 1.12499 1.27908i
\(686\) 14.3074 + 6.02932i 0.546259 + 0.230201i
\(687\) −15.3534 + 36.7749i −0.585770 + 1.40305i
\(688\) −3.19631 3.35702i −0.121858 0.127985i
\(689\) −43.6032 −1.66115
\(690\) 10.6772 11.9232i 0.406473 0.453909i
\(691\) 26.8902i 1.02295i 0.859298 + 0.511475i \(0.170901\pi\)
−0.859298 + 0.511475i \(0.829099\pi\)
\(692\) 5.09759 + 0.0624943i 0.193781 + 0.00237568i
\(693\) 9.11363 + 0.0510309i 0.346198 + 0.00193850i
\(694\) −14.4761 + 34.3513i −0.549504 + 1.30396i
\(695\) 1.31896 + 20.5780i 0.0500309 + 0.780569i
\(696\) −4.84963 + 4.64836i −0.183825 + 0.176196i
\(697\) 0.570399 0.570399i 0.0216054 0.0216054i
\(698\) −23.2194 + 9.45148i −0.878869 + 0.357744i
\(699\) −4.14389 10.0840i −0.156736 0.381412i
\(700\) 0.951897 + 8.18648i 0.0359783 + 0.309420i
\(701\) −35.7956 −1.35198 −0.675990 0.736911i \(-0.736284\pi\)
−0.675990 + 0.736911i \(0.736284\pi\)
\(702\) 0.586964 40.3980i 0.0221535 1.52472i
\(703\) −15.4525 15.4525i −0.582804 0.582804i
\(704\) 20.0708 + 21.6041i 0.756445 + 0.814236i
\(705\) −15.0946 30.9389i −0.568495 1.16523i
\(706\) −8.21566 + 19.4955i −0.309200 + 0.733723i
\(707\) 5.73705 5.73705i 0.215764 0.215764i
\(708\) 19.7073 7.81748i 0.740646 0.293799i
\(709\) 31.6856 1.18998 0.594988 0.803735i \(-0.297157\pi\)
0.594988 + 0.803735i \(0.297157\pi\)
\(710\) 11.7639 5.69099i 0.441491 0.213579i
\(711\) −2.34816 + 2.32201i −0.0880628 + 0.0870821i
\(712\) −17.3564 + 39.8152i −0.650459 + 1.49214i
\(713\) −6.86153 + 6.86153i −0.256966 + 0.256966i
\(714\) −0.0224359 + 2.51259i −0.000839642 + 0.0940312i
\(715\) −34.0277 29.9284i −1.27256 1.11926i
\(716\) −33.5456 34.3784i −1.25366 1.28478i
\(717\) −2.69238 + 6.44887i −0.100549 + 0.240837i
\(718\) −32.3883 + 13.1837i −1.20872 + 0.492010i
\(719\) −47.9558 −1.78845 −0.894225 0.447618i \(-0.852272\pi\)
−0.894225 + 0.447618i \(0.852272\pi\)
\(720\) −19.6057 18.3199i −0.730660 0.682741i
\(721\) −9.65184 −0.359453
\(722\) 27.5837 11.2280i 1.02656 0.417861i
\(723\) 7.64809 18.3189i 0.284435 0.681287i
\(724\) −30.3392 31.0923i −1.12755 1.15554i
\(725\) −0.875297 6.80002i −0.0325077 0.252546i
\(726\) −0.0565836 + 6.33678i −0.00210002 + 0.235180i
\(727\) 20.8052 20.8052i 0.771622 0.771622i −0.206768 0.978390i \(-0.566295\pi\)
0.978390 + 0.206768i \(0.0662946\pi\)
\(728\) −11.7487 5.12153i −0.435435 0.189817i
\(729\) 19.4099 18.7685i 0.718884 0.695130i
\(730\) −6.90421 + 19.8443i −0.255536 + 0.734469i
\(731\) 1.44234 0.0533468
\(732\) −16.5338 + 6.55862i −0.611108 + 0.242414i
\(733\) −11.3990 + 11.3990i −0.421033 + 0.421033i −0.885559 0.464526i \(-0.846225\pi\)
0.464526 + 0.885559i \(0.346225\pi\)
\(734\) 7.25237 17.2096i 0.267690 0.635219i
\(735\) 7.96715 23.1474i 0.293873 0.853806i
\(736\) 15.0708 + 6.79077i 0.555516 + 0.250311i
\(737\) −18.0852 18.0852i −0.666176 0.666176i
\(738\) −1.08198 + 2.52785i −0.0398281 + 0.0930514i
\(739\) −9.60683 −0.353393 −0.176697 0.984265i \(-0.556541\pi\)
−0.176697 + 0.984265i \(0.556541\pi\)
\(740\) 0.798711 + 15.4206i 0.0293612 + 0.566871i
\(741\) −22.9092 55.7487i −0.841591 2.04798i
\(742\) −8.56143 + 3.48493i −0.314300 + 0.127936i
\(743\) 2.71436 2.71436i 0.0995802 0.0995802i −0.655562 0.755142i \(-0.727568\pi\)
0.755142 + 0.655562i \(0.227568\pi\)
\(744\) 11.2571 + 11.7446i 0.412706 + 0.430577i
\(745\) −31.2530 + 2.00318i −1.14502 + 0.0733907i
\(746\) −9.24445 + 21.9368i −0.338463 + 0.803163i
\(747\) 0.149054 26.6196i 0.00545359 0.973958i
\(748\) −9.17508 0.112483i −0.335474 0.00411277i
\(749\) 6.81468i 0.249003i
\(750\) 26.9284 4.98628i 0.983285 0.182073i
\(751\) −18.9690 −0.692189 −0.346094 0.938200i \(-0.612492\pi\)
−0.346094 + 0.938200i \(0.612492\pi\)
\(752\) 25.7491 24.5164i 0.938972 0.894022i
\(753\) 11.6648 27.9397i 0.425087 1.01818i
\(754\) 9.82507 + 4.14041i 0.357808 + 0.150785i
\(755\) 1.87797 + 29.2996i 0.0683464 + 1.06632i
\(756\) −3.11352 7.97901i −0.113237 0.290194i
\(757\) −0.279592 0.279592i −0.0101620 0.0101620i 0.702008 0.712170i \(-0.252287\pi\)
−0.712170 + 0.702008i \(0.752287\pi\)
\(758\) −3.58037 + 1.45739i −0.130045 + 0.0529349i
\(759\) 7.09113 + 17.2560i 0.257392 + 0.626353i
\(760\) −37.6423 13.6161i −1.36543 0.493907i
\(761\) 20.3237i 0.736733i −0.929681 0.368366i \(-0.879917\pi\)
0.929681 0.368366i \(-0.120083\pi\)
\(762\) −0.0355534 0.0361941i −0.00128797 0.00131117i
\(763\) −6.82036 + 6.82036i −0.246914 + 0.246914i
\(764\) −18.1355 18.5857i −0.656118 0.672406i
\(765\) 8.33517 0.487399i 0.301359 0.0176220i
\(766\) 13.6746 32.4494i 0.494083 1.17244i
\(767\) −23.7938 23.7938i −0.859144 0.859144i
\(768\) 11.9176 25.0194i 0.430038 0.902811i
\(769\) 25.1716i 0.907711i 0.891075 + 0.453855i \(0.149952\pi\)
−0.891075 + 0.453855i \(0.850048\pi\)
\(770\) −9.07329 3.15678i −0.326979 0.113762i
\(771\) −15.3448 + 6.30577i −0.552631 + 0.227097i
\(772\) 26.8293 + 0.328916i 0.965607 + 0.0118379i
\(773\) 24.0474 + 24.0474i 0.864925 + 0.864925i 0.991905