Properties

Label 120.2.w.c.77.11
Level $120$
Weight $2$
Character 120.77
Analytic conductor $0.958$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $8$

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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 77.11
Character \(\chi\) \(=\) 120.77
Dual form 120.2.w.c.53.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.533177 + 1.30986i) q^{2} +(1.59834 + 0.667305i) q^{3} +(-1.43144 + 1.39677i) q^{4} +(0.143028 - 2.23149i) q^{5} +(-0.0218716 + 2.44939i) q^{6} +(0.582772 + 0.582772i) q^{7} +(-2.59278 - 1.13026i) q^{8} +(2.10941 + 2.13317i) q^{9} +O(q^{10})\) \(q+(0.533177 + 1.30986i) q^{2} +(1.59834 + 0.667305i) 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} +(-2.59278 - 1.13026i) q^{8} +(2.10941 + 2.13317i) q^{9} +(2.99919 - 1.00243i) q^{10} -3.68607 q^{11} +(-3.22001 + 1.27731i) q^{12} +(-3.88771 - 3.88771i) q^{13} +(-0.452626 + 1.07407i) q^{14} +(1.71769 - 3.47124i) q^{15} +(0.0980619 - 3.99880i) q^{16} +(-0.880105 + 0.880105i) q^{17} +(-1.66945 + 3.90038i) q^{18} +6.32919 q^{19} +(2.91214 + 3.39403i) q^{20} +(0.542584 + 1.32036i) q^{21} +(-1.96533 - 4.82821i) 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} +(1.94809 + 4.81715i) q^{27} +(-1.64820 - 0.0202063i) q^{28} -1.37122i q^{29} +(5.46266 + 0.399139i) q^{30} +3.32075 q^{31} +(5.29013 - 2.00362i) q^{32} +(-5.89160 - 2.45973i) 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} +(3.37458 + 8.29032i) q^{38} +(-3.61961 - 8.80819i) q^{39} +(-2.89300 + 5.62410i) q^{40} -0.648104i q^{41} +(-1.44018 + 1.41469i) q^{42} +(-0.819412 - 0.819412i) q^{43} +(5.27640 - 5.14859i) q^{44} +(5.06184 - 4.40202i) q^{45} +(-1.60482 + 3.80818i) q^{46} +(-6.28508 + 6.28508i) q^{47} +(2.82515 - 6.32602i) q^{48} -6.32075i q^{49} +(-1.80795 - 6.83603i) q^{50} +(-1.99401 + 0.819412i) q^{51} +(10.9953 + 0.134798i) 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} +(10.1162 + 4.22349i) q^{57} +(1.79611 - 0.731106i) q^{58} +6.12026i q^{59} +(2.38975 + 7.36811i) q^{60} +5.13471i q^{61} +(1.77055 + 4.34971i) q^{62} +(-0.0138443 + 2.47245i) 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} +(0.0305156 - 2.48912i) q^{68} +(1.92377 + 4.68141i) q^{69} +(2.33203 + 1.16365i) q^{70} -4.13251i q^{71} +(-3.05821 - 7.91501i) q^{72} +(4.69820 - 4.69820i) q^{73} +(-4.49972 - 1.89624i) q^{74} +(-7.50036 - 4.32950i) q^{75} +(-9.05987 + 8.84042i) q^{76} +(-2.14814 - 2.14814i) q^{77} +(9.60756 - 9.43750i) q^{78} +1.10079i q^{79} +(-8.90925 - 0.790765i) q^{80} +(-0.100786 + 8.99944i) q^{81} +(0.848922 - 0.345554i) 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} +(0.915024 - 2.19169i) q^{87} +(9.55717 + 4.16621i) q^{88} +15.3562 q^{89} +(8.46487 + 4.28322i) q^{90} -4.53130i q^{91} +(-5.84382 - 0.0716428i) q^{92} +(5.30771 + 2.21595i) 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} +(8.27927 - 3.37008i) 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 \(\left(\mathbb{Z}/120\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.533177 + 1.30986i 0.377013 + 0.926208i
\(3\) 1.59834 + 0.667305i 0.922805 + 0.385268i
\(4\) −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 0.808611 0.588344i \(-0.200220\pi\)
−0.588344 + 0.808611i \(0.700220\pi\)
\(8\) −2.59278 1.13026i −0.916687 0.399606i
\(9\) 2.10941 + 2.13317i 0.703136 + 0.711055i
\(10\) 2.99919 1.00243i 0.948426 0.316997i
\(11\) −3.68607 −1.11139 −0.555695 0.831386i \(-0.687548\pi\)
−0.555695 + 0.831386i \(0.687548\pi\)
\(12\) −3.22001 + 1.27731i −0.929537 + 0.368728i
\(13\) −3.88771 3.88771i −1.07826 1.07826i −0.996666 0.0815911i \(-0.974000\pi\)
−0.0815911 0.996666i \(-0.526000\pi\)
\(14\) −0.452626 + 1.07407i −0.120969 + 0.287057i
\(15\) 1.71769 3.47124i 0.443506 0.896271i
\(16\) 0.0980619 3.99880i 0.0245155 0.999699i
\(17\) −0.880105 + 0.880105i −0.213457 + 0.213457i −0.805734 0.592277i \(-0.798229\pi\)
0.592277 + 0.805734i \(0.298229\pi\)
\(18\) −1.66945 + 3.90038i −0.393493 + 0.919328i
\(19\) 6.32919 1.45201 0.726007 0.687687i \(-0.241374\pi\)
0.726007 + 0.687687i \(0.241374\pi\)
\(20\) 2.91214 + 3.39403i 0.651175 + 0.758928i
\(21\) 0.542584 + 1.32036i 0.118402 + 0.288125i
\(22\) −1.96533 4.82821i −0.419009 1.02938i
\(23\) 2.06626 + 2.06626i 0.430844 + 0.430844i 0.888916 0.458071i \(-0.151460\pi\)
−0.458071 + 0.888916i \(0.651460\pi\)
\(24\) −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
\(27\) 1.94809 + 4.81715i 0.374910 + 0.927061i
\(28\) −1.64820 0.0202063i −0.311481 0.00381863i
\(29\) 1.37122i 0.254630i −0.991862 0.127315i \(-0.959364\pi\)
0.991862 0.127315i \(-0.0406359\pi\)
\(30\) 5.46266 + 0.399139i 0.997341 + 0.0728724i
\(31\) 3.32075 0.596425 0.298212 0.954500i \(-0.403610\pi\)
0.298212 + 0.954500i \(0.403610\pi\)
\(32\) 5.29013 2.00362i 0.935172 0.354194i
\(33\) −5.89160 2.45973i −1.02560 0.428184i
\(34\) −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 \(-0.841600\pi\)
0.477342 + 0.878718i \(0.341600\pi\)
\(38\) 3.37458 + 8.29032i 0.547429 + 1.34487i
\(39\) −3.61961 8.80819i −0.579602 1.41044i
\(40\) −2.89300 + 5.62410i −0.457423 + 0.889249i
\(41\) 0.648104i 0.101217i −0.998719 0.0506084i \(-0.983884\pi\)
0.998719 0.0506084i \(-0.0161160\pi\)
\(42\) −1.44018 + 1.41469i −0.222225 + 0.218292i
\(43\) −0.819412 0.819412i −0.124959 0.124959i 0.641861 0.766821i \(-0.278162\pi\)
−0.766821 + 0.641861i \(0.778162\pi\)
\(44\) 5.27640 5.14859i 0.795447 0.776179i
\(45\) 5.06184 4.40202i 0.754574 0.656214i
\(46\) −1.60482 + 3.80818i −0.236617 + 0.561485i
\(47\) −6.28508 + 6.28508i −0.916772 + 0.916772i −0.996793 0.0800208i \(-0.974501\pi\)
0.0800208 + 0.996793i \(0.474501\pi\)
\(48\) 2.82515 6.32602i 0.407776 0.913082i
\(49\) 6.32075i 0.902965i
\(50\) −1.80795 6.83603i −0.255683 0.966761i
\(51\) −1.99401 + 0.819412i −0.279217 + 0.114741i
\(52\) 10.9953 + 0.134798i 1.52477 + 0.0186931i
\(53\) −5.60782 + 5.60782i −0.770293 + 0.770293i −0.978158 0.207864i \(-0.933349\pi\)
0.207864 + 0.978158i \(0.433349\pi\)
\(54\) −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
\(57\) 10.1162 + 4.22349i 1.33993 + 0.559415i
\(58\) 1.79611 0.731106i 0.235840 0.0959989i
\(59\) 6.12026i 0.796790i 0.917214 + 0.398395i \(0.130433\pi\)
−0.917214 + 0.398395i \(0.869567\pi\)
\(60\) 2.38975 + 7.36811i 0.308516 + 0.951219i
\(61\) 5.13471i 0.657432i 0.944429 + 0.328716i \(0.106616\pi\)
−0.944429 + 0.328716i \(0.893384\pi\)
\(62\) 1.77055 + 4.34971i 0.224860 + 0.552413i
\(63\) −0.0138443 + 2.47245i −0.00174421 + 0.311500i
\(64\) 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 \(-0.889320\pi\)
0.340747 + 0.940155i \(0.389320\pi\)
\(68\) 0.0305156 2.48912i 0.00370056 0.301851i
\(69\) 1.92377 + 4.68141i 0.231594 + 0.563576i
\(70\) 2.33203 + 1.16365i 0.278731 + 0.139083i
\(71\) 4.13251i 0.490439i −0.969468 0.245220i \(-0.921140\pi\)
0.969468 0.245220i \(-0.0788601\pi\)
\(72\) −3.05821 7.91501i −0.360414 0.932793i
\(73\) 4.69820 4.69820i 0.549883 0.549883i −0.376524 0.926407i \(-0.622881\pi\)
0.926407 + 0.376524i \(0.122881\pi\)
\(74\) −4.49972 1.89624i −0.523082 0.220433i
\(75\) −7.50036 4.32950i −0.866068 0.499927i
\(76\) −9.05987 + 8.84042i −1.03924 + 1.01407i
\(77\) −2.14814 2.14814i −0.244803 0.244803i
\(78\) 9.60756 9.43750i 1.08784 1.06859i
\(79\) 1.10079i 0.123848i 0.998081 + 0.0619241i \(0.0197237\pi\)
−0.998081 + 0.0619241i \(0.980276\pi\)
\(80\) −8.90925 0.790765i −0.996084 0.0884103i
\(81\) −0.100786 + 8.99944i −0.0111985 + 0.999937i
\(82\) 0.848922 0.345554i 0.0937478 0.0381601i
\(83\) 6.27439 6.27439i 0.688703 0.688703i −0.273242 0.961945i \(-0.588096\pi\)
0.961945 + 0.273242i \(0.0880960\pi\)
\(84\) −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
\(87\) 0.915024 2.19169i 0.0981009 0.234974i
\(88\) 9.55717 + 4.16621i 1.01880 + 0.444119i
\(89\) 15.3562 1.62775 0.813875 0.581040i \(-0.197354\pi\)
0.813875 + 0.581040i \(0.197354\pi\)
\(90\) 8.46487 + 4.28322i 0.892276 + 0.451491i
\(91\) 4.53130i 0.475009i
\(92\) −5.84382 0.0716428i −0.609260 0.00746928i
\(93\) 5.30771 + 2.21595i 0.550384 + 0.229784i
\(94\) −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 0.376104 0.926578i \(-0.377264\pi\)
−0.926578 + 0.376104i \(0.877264\pi\)
\(98\) 8.27927 3.37008i 0.836333 0.340430i
\(99\) −7.77542 7.86299i −0.781459 0.790260i
\(100\) 7.99026 6.01297i 0.799026 0.601297i
\(101\) 9.84442 0.979556 0.489778 0.871847i \(-0.337078\pi\)
0.489778 + 0.871847i \(0.337078\pi\)
\(102\) −2.13647 2.17497i −0.211542 0.215354i
\(103\) −8.28098 + 8.28098i −0.815949 + 0.815949i −0.985518 0.169569i \(-0.945762\pi\)
0.169569 + 0.985518i \(0.445762\pi\)
\(104\) 5.68587 + 14.4741i 0.557545 + 1.41930i
\(105\) 3.02397 1.02192i 0.295109 0.0997293i
\(106\) −10.3354 4.35547i −1.00386 0.423041i
\(107\) −5.84678 5.84678i −0.565230 0.565230i 0.365559 0.930788i \(-0.380878\pi\)
−0.930788 + 0.365559i \(0.880878\pi\)
\(108\) −9.51704 4.17444i −0.915777 0.401686i
\(109\) 11.7033 1.12097 0.560487 0.828163i \(-0.310614\pi\)
0.560487 + 0.828163i \(0.310614\pi\)
\(110\) −11.0552 + 3.69503i −1.05407 + 0.352308i
\(111\) −5.53152 + 2.27311i −0.525029 + 0.215754i
\(112\) 2.38754 2.27324i 0.225601 0.214801i
\(113\) −8.58333 8.58333i −0.807452 0.807452i 0.176796 0.984248i \(-0.443427\pi\)
−0.984248 + 0.176796i \(0.943427\pi\)
\(114\) −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
\(117\) 0.0923560 16.4939i 0.00853832 1.52486i
\(118\) −8.01666 + 3.26318i −0.737993 + 0.300400i
\(119\) −1.02580 −0.0940350
\(120\) −8.37700 + 7.05874i −0.764712 + 0.644372i
\(121\) 2.58708 0.235189
\(122\) −6.72573 + 2.73771i −0.608919 + 0.247861i
\(123\) 0.432483 1.03589i 0.0389956 0.0934033i
\(124\) −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 0.706457 0.707756i \(-0.250293\pi\)
−0.707756 + 0.706457i \(0.750293\pi\)
\(128\) −4.77393 + 10.2572i −0.421959 + 0.906615i
\(129\) −0.762905 1.85650i −0.0671701 0.163456i
\(130\) −15.5571 7.76281i −1.36445 0.680843i
\(131\) 5.23989 0.457811 0.228906 0.973449i \(-0.426485\pi\)
0.228906 + 0.973449i \(0.426485\pi\)
\(132\) 11.8692 4.70826i 1.03308 0.409801i
\(133\) 3.68847 + 3.68847i 0.319831 + 0.319831i
\(134\) −9.04259 3.81066i −0.781161 0.329191i
\(135\) 11.0281 3.65816i 0.949143 0.314844i
\(136\) 3.27666 1.28717i 0.280972 0.110374i
\(137\) 14.0984 14.0984i 1.20450 1.20450i 0.231722 0.972782i \(-0.425564\pi\)
0.972782 0.231722i \(-0.0744360\pi\)
\(138\) −5.10627 + 5.01588i −0.434674 + 0.426980i
\(139\) −9.22166 −0.782171 −0.391085 0.920354i \(-0.627900\pi\)
−0.391085 + 0.920354i \(0.627900\pi\)
\(140\) −0.280830 + 3.67506i −0.0237345 + 0.310599i
\(141\) −14.2398 + 5.85165i −1.19921 + 0.492798i
\(142\) 5.41300 2.20336i 0.454249 0.184902i
\(143\) 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
\(147\) 4.21787 10.1027i 0.347884 0.833260i
\(148\) 0.0846526 6.90501i 0.00695840 0.567589i
\(149\) 14.0054i 1.14737i −0.819076 0.573685i \(-0.805513\pi\)
0.819076 0.573685i \(-0.194487\pi\)
\(150\) 1.67199 12.1328i 0.136517 0.990638i
\(151\) 13.1301 1.06851 0.534255 0.845323i \(-0.320592\pi\)
0.534255 + 0.845323i \(0.320592\pi\)
\(152\) −16.4102 7.15361i −1.33104 0.580234i
\(153\) −3.73391 0.0209077i −0.301869 0.00169028i
\(154\) 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 \(-0.867034\pi\)
0.405683 + 0.914014i \(0.367034\pi\)
\(158\) −1.44187 + 0.586914i −0.114709 + 0.0466924i
\(159\) −12.7054 + 5.22110i −1.00760 + 0.414060i
\(160\) −3.71442 12.0914i −0.293651 0.955913i
\(161\) 2.40831i 0.189802i
\(162\) −11.8417 + 4.66628i −0.930372 + 0.366618i
\(163\) −3.46013 3.46013i −0.271018 0.271018i 0.558492 0.829510i \(-0.311380\pi\)
−0.829510 + 0.558492i \(0.811380\pi\)
\(164\) 0.905253 + 0.927724i 0.0706884 + 0.0724431i
\(165\) −6.33152 + 12.7952i −0.492908 + 0.996108i
\(166\) 11.5639 + 4.87318i 0.897533 + 0.378232i
\(167\) −0.954151 + 0.954151i −0.0738345 + 0.0738345i −0.743060 0.669225i \(-0.766626\pi\)
0.669225 + 0.743060i \(0.266626\pi\)
\(168\) 0.0855420 4.03666i 0.00659971 0.311435i
\(169\) 17.2286i 1.32528i
\(170\) −1.75735 + 3.52185i −0.134783 + 0.270113i
\(171\) 13.3508 + 13.5012i 1.02096 + 1.03246i
\(172\) 2.31747 + 0.0284113i 0.176706 + 0.00216634i
\(173\) 1.80240 1.80240i 0.137034 0.137034i −0.635262 0.772296i \(-0.719108\pi\)
0.772296 + 0.635262i \(0.219108\pi\)
\(174\) 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
\(177\) −4.08408 + 9.78228i −0.306978 + 0.735281i
\(178\) 8.18756 + 20.1144i 0.613683 + 1.50763i
\(179\) 24.0166i 1.79508i 0.440930 + 0.897541i \(0.354649\pi\)
−0.440930 + 0.897541i \(0.645351\pi\)
\(180\) −1.09712 + 13.3715i −0.0817748 + 0.996651i
\(181\) 21.7210i 1.61451i −0.590205 0.807253i \(-0.700953\pi\)
0.590205 0.807253i \(-0.299047\pi\)
\(182\) 5.93535 2.41599i 0.439957 0.179085i
\(183\) −3.42641 + 8.20703i −0.253288 + 0.606681i
\(184\) −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
\(188\) 0.217921 17.7755i 0.0158935 1.29641i
\(189\) −1.67201 + 3.94259i −0.121621 + 0.286781i
\(190\) 18.9824 6.34458i 1.37713 0.460285i
\(191\) 12.9839i 0.939479i −0.882805 0.469739i \(-0.844348\pi\)
0.882805 0.469739i \(-0.155652\pi\)
\(192\) 4.79195 + 13.0014i 0.345829 + 0.938297i
\(193\) 9.48630 9.48630i 0.682839 0.682839i −0.277800 0.960639i \(-0.589605\pi\)
0.960639 + 0.277800i \(0.0896053\pi\)
\(194\) 4.21079 9.99208i 0.302317 0.717389i
\(195\) −20.1731 + 6.81731i −1.44462 + 0.488197i
\(196\) 8.82864 + 9.04780i 0.630617 + 0.646272i
\(197\) 12.8606 + 12.8606i 0.916280 + 0.916280i 0.996757 0.0804765i \(-0.0256442\pi\)
−0.0804765 + 0.996757i \(0.525644\pi\)
\(198\) 6.15370 14.3770i 0.437324 1.02173i
\(199\) 0.0463625i 0.00328655i −0.999999 0.00164328i \(-0.999477\pi\)
0.999999 0.00164328i \(-0.000523071\pi\)
\(200\) 12.1363 + 7.26010i 0.858169 + 0.513367i
\(201\) −11.1161 + 4.56802i −0.784069 + 0.322203i
\(202\) 5.24882 + 12.8948i 0.369306 + 0.907273i
\(203\) 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
\(207\) −0.0490858 + 8.76625i −0.00341170 + 0.609296i
\(208\) −15.9274 + 15.1649i −1.10437 + 1.05150i
\(209\) −23.3298 −1.61376
\(210\) 2.95088 + 3.41609i 0.203630 + 0.235733i
\(211\) 0.591066i 0.0406907i −0.999793 0.0203453i \(-0.993523\pi\)
0.999793 0.0203453i \(-0.00647657\pi\)
\(212\) 0.194439 15.8601i 0.0133541 1.08928i
\(213\) 2.75765 6.60518i 0.188951 0.452579i
\(214\) 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
\(218\) 6.23994 + 15.3296i 0.422622 + 1.03825i
\(219\) 10.6445 4.37421i 0.719287 0.295582i
\(220\) −10.7343 12.5106i −0.723710 0.843465i
\(221\) 6.84318 0.460322
\(222\) −5.92673 6.03353i −0.397776 0.404944i
\(223\) 16.8577 16.8577i 1.12888 1.12888i 0.138517 0.990360i \(-0.455767\pi\)
0.990360 0.138517i \(-0.0442335\pi\)
\(224\) 4.25060 + 1.91529i 0.284005 + 0.127970i
\(225\) −9.09907 11.9251i −0.606605 0.795003i
\(226\) 6.66649 15.8194i 0.443448 1.05229i
\(227\) 7.23390 + 7.23390i 0.480131 + 0.480131i 0.905173 0.425043i \(-0.139741\pi\)
−0.425043 + 0.905173i \(0.639741\pi\)
\(228\) −20.3800 + 8.08434i −1.34970 + 0.535399i
\(229\) −23.0081 −1.52042 −0.760210 0.649677i \(-0.774904\pi\)
−0.760210 + 0.649677i \(0.774904\pi\)
\(230\) 8.26838 + 4.12581i 0.545201 + 0.272048i
\(231\) −2.00000 4.86692i −0.131590 0.320220i
\(232\) −1.54984 + 3.55529i −0.101752 + 0.233416i
\(233\) 4.45082 + 4.45082i 0.291583 + 0.291583i 0.837705 0.546122i \(-0.183897\pi\)
−0.546122 + 0.837705i \(0.683897\pi\)
\(234\) 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
\(237\) −0.734560 + 1.75944i −0.0477148 + 0.114288i
\(238\) −0.546934 1.34365i −0.0354524 0.0870959i
\(239\) −4.03472 −0.260984 −0.130492 0.991449i \(-0.541656\pi\)
−0.130492 + 0.991449i \(0.541656\pi\)
\(240\) −13.7124 7.20910i −0.885129 0.465345i
\(241\) −11.4612 −0.738279 −0.369139 0.929374i \(-0.620347\pi\)
−0.369139 + 0.929374i \(0.620347\pi\)
\(242\) 1.37937 + 3.38871i 0.0886696 + 0.217834i
\(243\) −6.16646 + 14.3169i −0.395578 + 0.918432i
\(244\) −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
\(248\) −8.60999 3.75331i −0.546735 0.238335i
\(249\) 14.2156 5.84170i 0.900874 0.370203i
\(250\) −15.5131 + 3.05667i −0.981136 + 0.193321i
\(251\) −17.4804 −1.10335 −0.551677 0.834058i \(-0.686012\pi\)
−0.551677 + 0.834058i \(0.686012\pi\)
\(252\) −3.43363 3.55851i −0.216299 0.224165i
\(253\) −7.61636 7.61636i −0.478836 0.478836i
\(254\) 0.0113752 0.0269930i 0.000713745 0.00169369i
\(255\) 1.54331 + 4.56681i 0.0966458 + 0.285984i
\(256\) −15.9808 0.784260i −0.998798 0.0490162i
\(257\) −6.77283 + 6.77283i −0.422477 + 0.422477i −0.886056 0.463578i \(-0.846565\pi\)
0.463578 + 0.886056i \(0.346565\pi\)
\(258\) 2.02498 1.98914i 0.126070 0.123838i
\(259\) −2.84565 −0.176820
\(260\) 1.87344 24.5166i 0.116186 1.52045i
\(261\) 2.92505 2.89247i 0.181056 0.179040i
\(262\) 2.79379 + 6.86350i 0.172601 + 0.424028i
\(263\) −15.3708 15.3708i −0.947805 0.947805i 0.0508987 0.998704i \(-0.483791\pi\)
−0.998704 + 0.0508987i \(0.983791\pi\)
\(264\) 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
\(267\) 24.5444 + 10.2472i 1.50209 + 0.627121i
\(268\) 0.170117 13.8762i 0.0103916 0.847627i
\(269\) 9.58859i 0.584627i −0.956323 0.292313i \(-0.905575\pi\)
0.956323 0.292313i \(-0.0944250\pi\)
\(270\) 10.6716 + 12.4947i 0.649451 + 0.760404i
\(271\) −20.9078 −1.27006 −0.635030 0.772487i \(-0.719012\pi\)
−0.635030 + 0.772487i \(0.719012\pi\)
\(272\) 3.43306 + 3.60567i 0.208160 + 0.218626i
\(273\) 3.02376 7.24257i 0.183006 0.438341i
\(274\) 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 \(-0.627104\pi\)
0.921330 + 0.388782i \(0.127104\pi\)
\(278\) −4.91678 12.0790i −0.294889 0.724453i
\(279\) 7.00483 + 7.08372i 0.419368 + 0.424091i
\(280\) −4.96353 + 1.59161i −0.296628 + 0.0951170i
\(281\) 12.1925i 0.727341i −0.931528 0.363670i \(-0.881523\pi\)
0.931528 0.363670i \(-0.118477\pi\)
\(282\) −15.2571 15.5321i −0.908550 0.924922i
\(283\) 11.6799 + 11.6799i 0.694298 + 0.694298i 0.963175 0.268877i \(-0.0866525\pi\)
−0.268877 + 0.963175i \(0.586652\pi\)
\(284\) 5.77217 + 5.91546i 0.342516 + 0.351018i
\(285\) 10.8716 21.9701i 0.643977 1.30140i
\(286\) −11.1301 + 26.4113i −0.658135 + 1.56173i
\(287\) 0.377697 0.377697i 0.0222947 0.0222947i
\(288\) 15.4331 + 7.05827i 0.909405 + 0.415912i
\(289\) 15.4508i 0.908872i
\(290\) −1.37456 4.11256i −0.0807170 0.241498i
\(291\) −5.04767 12.2833i −0.295900 0.720060i
\(292\) −0.162900 + 13.2875i −0.00953298 + 0.777594i
\(293\) −5.16432 + 5.16432i −0.301703 + 0.301703i −0.841680 0.539977i \(-0.818433\pi\)
0.539977 + 0.841680i \(0.318433\pi\)
\(294\) 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
\(297\) −7.18079 17.7563i −0.416672 1.03033i
\(298\) 18.3451 7.46739i 1.06270 0.432574i
\(299\) 16.0660i 0.929122i
\(300\) 16.7837 4.27886i 0.969005 0.247040i
\(301\) 0.955061i 0.0550488i
\(302\) 7.00066 + 17.1985i 0.402843 + 0.989663i
\(303\) 15.7348 + 6.56923i 0.903939 + 0.377392i
\(304\) 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 \(-0.871057\pi\)
0.394097 + 0.919069i \(0.371057\pi\)
\(308\) 6.07539 + 0.0744818i 0.346177 + 0.00424399i
\(309\) −18.7618 + 7.70992i −1.06732 + 0.438602i
\(310\) 9.95956 3.32883i 0.565665 0.189065i
\(311\) 30.5690i 1.73341i 0.498821 + 0.866705i \(0.333767\pi\)
−0.498821 + 0.866705i \(0.666233\pi\)
\(312\) −0.570656 + 26.9288i −0.0323071 + 1.52454i
\(313\) −16.4612 + 16.4612i −0.930440 + 0.930440i −0.997733 0.0672931i \(-0.978564\pi\)
0.0672931 + 0.997733i \(0.478564\pi\)
\(314\) −11.7389 4.94694i −0.662467 0.279172i
\(315\) 5.51527 + 0.384524i 0.310750 + 0.0216655i
\(316\) −1.53755 1.57571i −0.0864937 0.0886408i
\(317\) −0.000616701 0 0.000616701i −3.46374e−5 0 3.46374e-5i 0.707089 0.707124i \(-0.250008\pi\)
−0.707124 + 0.707089i \(0.750008\pi\)
\(318\) −13.6131 13.8584i −0.763385 0.777141i
\(319\) 5.05442i 0.282993i
\(320\) 13.8576 11.3122i 0.774664 0.632374i
\(321\) −5.44358 13.2468i −0.303831 0.739362i
\(322\) −3.15454 + 1.28406i −0.175796 + 0.0715578i
\(323\) −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
\(327\) 18.7059 + 7.80967i 1.03444 + 0.431876i
\(328\) −0.732524 + 1.68039i −0.0404469 + 0.0927841i
\(329\) −7.32553 −0.403870
\(330\) −20.1357 1.47125i −1.10844 0.0809897i
\(331\) 8.28613i 0.455447i −0.973726 0.227724i \(-0.926872\pi\)
0.973726 0.227724i \(-0.0731283\pi\)
\(332\) −0.217550 + 17.7453i −0.0119396 + 0.973901i
\(333\) −10.3581 0.0579994i −0.567622 0.00317835i
\(334\) −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 0.766392 0.642374i \(-0.222050\pi\)
−0.642374 + 0.766392i \(0.722050\pi\)
\(338\) −22.5670 + 9.18590i −1.22748 + 0.499647i
\(339\) −7.99142 19.4468i −0.434035 1.05621i
\(340\) −5.55009 0.424111i −0.300996 0.0230006i
\(341\) −12.2405 −0.662861
\(342\) −10.5663 + 24.6862i −0.571357 + 1.33488i
\(343\) 7.76296 7.76296i 0.419161 0.419161i
\(344\) 1.19841 + 3.05070i 0.0646139 + 0.164483i
\(345\) 10.7217 3.62329i 0.577235 0.195071i
\(346\) 3.32189 + 1.39989i 0.178586 + 0.0752584i
\(347\) −18.6384 18.6384i −1.00056 1.00056i −1.00000 0.000564305i \(-0.999820\pi\)
−0.000564305 1.00000i \(-0.500180\pi\)
\(348\) 1.75148 + 4.41536i 0.0938892 + 0.236688i
\(349\) 17.7267 0.948889 0.474445 0.880285i \(-0.342649\pi\)
0.474445 + 0.880285i \(0.342649\pi\)
\(350\) 2.93022 5.03747i 0.156627 0.269264i
\(351\) 11.1541 26.3013i 0.595360 1.40386i
\(352\) −19.4998 + 7.38548i −1.03934 + 0.393648i
\(353\) 10.5779 + 10.5779i 0.563007 + 0.563007i 0.930160 0.367153i \(-0.119668\pi\)
−0.367153 + 0.930160i \(0.619668\pi\)
\(354\) −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
\(357\) −1.63958 0.684521i −0.0867759 0.0362287i
\(358\) −31.4582 + 12.8051i −1.66262 + 0.676770i
\(359\) 24.7266 1.30502 0.652510 0.757780i \(-0.273716\pi\)
0.652510 + 0.757780i \(0.273716\pi\)
\(360\) −18.0997 + 5.69229i −0.953936 + 0.300010i
\(361\) 21.0586 1.10835
\(362\) 28.4513 11.5811i 1.49537 0.608691i
\(363\) 4.13505 + 1.72637i 0.217034 + 0.0906111i
\(364\) 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 0.907492 0.420069i \(-0.137994\pi\)
−0.420069 + 0.907492i \(0.637994\pi\)
\(368\) 8.46516 8.05992i 0.441277 0.420152i
\(369\) 1.38251 1.36712i 0.0719707 0.0711692i
\(370\) −4.87503 + 9.76985i −0.253441 + 0.507911i
\(371\) −6.53616 −0.339341
\(372\) −10.6929 + 4.24164i −0.554399 + 0.219919i
\(373\) 11.9025 + 11.9025i 0.616291 + 0.616291i 0.944578 0.328287i \(-0.106471\pi\)
−0.328287 + 0.944578i \(0.606471\pi\)
\(374\) 5.97903 + 2.51964i 0.309168 + 0.130288i
\(375\) −10.7340 + 16.1177i −0.554301 + 0.832317i
\(376\) 23.3996 9.19207i 1.20674 0.474045i
\(377\) −5.33092 + 5.33092i −0.274557 + 0.274557i
\(378\) −6.05570 0.0879865i −0.311472 0.00452554i
\(379\) 2.73341 0.140406 0.0702029 0.997533i \(-0.477635\pi\)
0.0702029 + 0.997533i \(0.477635\pi\)
\(380\) 18.4315 + 21.4814i 0.945515 + 1.10197i
\(381\) −0.0136360 0.0331827i −0.000698593 0.00170000i
\(382\) 17.0070 6.92270i 0.870153 0.354196i
\(383\) −17.6065 17.6065i −0.899651 0.899651i 0.0957539 0.995405i \(-0.469474\pi\)
−0.995405 + 0.0957539i \(0.969474\pi\)
\(384\) −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
\(387\) 0.0194659 3.47642i 0.000989506 0.176716i
\(388\) 15.3333 + 0.187980i 0.778429 + 0.00954322i
\(389\) 25.1335i 1.27432i −0.770731 0.637160i \(-0.780109\pi\)
0.770731 0.637160i \(-0.219891\pi\)
\(390\) −19.6855 22.7890i −0.996815 1.15397i
\(391\) −3.63704 −0.183933
\(392\) −7.14408 + 16.3883i −0.360831 + 0.827736i
\(393\) 8.37515 + 3.49660i 0.422470 + 0.176380i
\(394\) −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 \(-0.811687\pi\)
0.557692 + 0.830048i \(0.311687\pi\)
\(398\) 0.0607282 0.0247195i 0.00304403 0.00123907i
\(399\) 3.43411 + 8.35678i 0.171921 + 0.418362i
\(400\) −3.03886 + 19.7678i −0.151943 + 0.988389i
\(401\) 5.15831i 0.257594i 0.991671 + 0.128797i \(0.0411115\pi\)
−0.991671 + 0.128797i \(0.958888\pi\)
\(402\) −11.9103 12.1249i −0.594032 0.604736i
\(403\) −12.9101 12.9101i −0.643099 0.643099i
\(404\) −14.0917 + 13.7504i −0.701090 + 0.684108i
\(405\) 20.0677 + 1.51208i 0.997173 + 0.0751357i
\(406\) 1.47279 + 0.620652i 0.0730933 + 0.0308025i
\(407\) 8.99944 8.99944i 0.446085 0.446085i
\(408\) 6.09617 + 0.129186i 0.301806 + 0.00639565i
\(409\) 14.1638i 0.700356i −0.936683 0.350178i \(-0.886121\pi\)
0.936683 0.350178i \(-0.113879\pi\)
\(410\) −0.649681 1.94379i −0.0320854 0.0959967i
\(411\) 31.9419 13.1261i 1.57558 0.647464i
\(412\) 0.287124 23.4204i 0.0141456 1.15384i
\(413\) −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
\(417\) −14.7394 6.15365i −0.721791 0.301346i
\(418\) −12.4389 30.5587i −0.608407 1.49467i
\(419\) 4.80514i 0.234746i −0.993088 0.117373i \(-0.962553\pi\)
0.993088 0.117373i \(-0.0374474\pi\)
\(420\) −2.90125 + 5.68661i −0.141566 + 0.277478i
\(421\) 15.2187i 0.741716i 0.928690 + 0.370858i \(0.120936\pi\)
−0.928690 + 0.370858i \(0.879064\pi\)
\(422\) 0.774212 0.315143i 0.0376880 0.0153409i
\(423\) −26.6649 0.149308i −1.29649 0.00725958i
\(424\) 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
\(428\) 16.5359 + 0.202724i 0.799295 + 0.00979903i
\(429\) 13.3421 + 32.4676i 0.644164 + 1.56755i
\(430\) −3.27898 1.63617i −0.158126 0.0789029i
\(431\) 27.8760i 1.34274i 0.741122 + 0.671370i \(0.234294\pi\)
−0.741122 + 0.671370i \(0.765706\pi\)
\(432\) 19.4538 7.31764i 0.935974 0.352070i
\(433\) −2.78003 + 2.78003i −0.133600 + 0.133600i −0.770744 0.637145i \(-0.780115\pi\)
0.637145 + 0.770744i \(0.280115\pi\)
\(434\) −1.50306 + 3.56672i −0.0721492 + 0.171208i
\(435\) −4.75985 2.35534i −0.228218 0.112930i
\(436\) −16.7526 + 16.3468i −0.802305 + 0.782872i
\(437\) 13.0777 + 13.0777i 0.625592 + 0.625592i
\(438\) 11.4050 + 11.6105i 0.544951 + 0.554771i
\(439\) 10.8174i 0.516286i −0.966107 0.258143i \(-0.916889\pi\)
0.966107 0.258143i \(-0.0831105\pi\)
\(440\) 10.6638 20.7308i 0.508376 0.988303i
\(441\) 13.4832 13.3331i 0.642058 0.634907i
\(442\) 3.64863 + 8.96358i 0.173548 + 0.426354i
\(443\) 5.74963 5.74963i 0.273173 0.273173i −0.557203 0.830376i \(-0.688126\pi\)
0.830376 + 0.557203i \(0.188126\pi\)
\(444\) 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
\(447\) 9.34590 22.3855i 0.442046 1.05880i
\(448\) −0.242427 + 6.58885i −0.0114536 + 0.311294i
\(449\) −6.91183 −0.326189 −0.163095 0.986610i \(-0.552148\pi\)
−0.163095 + 0.986610i \(0.552148\pi\)
\(450\) 10.7687 18.2766i 0.507640 0.861569i
\(451\) 2.38895i 0.112491i
\(452\) 24.2755 + 0.297608i 1.14182 + 0.0139983i
\(453\) 20.9864 + 8.76176i 0.986026 + 0.411663i
\(454\) −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 0.576113 0.817370i \(-0.304569\pi\)
−0.817370 + 0.576113i \(0.804569\pi\)
\(458\) −12.2674 30.1373i −0.573219 1.40823i
\(459\) −5.95412 2.52507i −0.277915 0.117860i
\(460\) −0.995701 + 13.0302i −0.0464248 + 0.607535i
\(461\) 18.4555 0.859558 0.429779 0.902934i \(-0.358592\pi\)
0.429779 + 0.902934i \(0.358592\pi\)
\(462\) 5.30861 5.21464i 0.246979 0.242607i
\(463\) −19.6899 + 19.6899i −0.915068 + 0.915068i −0.996665 0.0815977i \(-0.973998\pi\)
0.0815977 + 0.996665i \(0.473998\pi\)
\(464\) −5.48325 0.134465i −0.254553 0.00624238i
\(465\) 5.70403 11.5271i 0.264518 0.534559i
\(466\) −3.45685 + 8.20301i −0.160136 + 0.379997i
\(467\) 2.07946 + 2.07946i 0.0962257 + 0.0962257i 0.753581 0.657355i \(-0.228325\pi\)
−0.657355 + 0.753581i \(0.728325\pi\)
\(468\) 22.9060 + 23.7391i 1.05883 + 1.09734i
\(469\) −5.71858 −0.264060
\(470\) −12.5498 + 25.1505i −0.578877 + 1.16011i
\(471\) −14.4307 + 5.93013i −0.664933 + 0.273246i
\(472\) 6.91747 15.8685i 0.318402 0.730407i
\(473\) 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
\(477\) −23.7916 0.133219i −1.08934 0.00609967i
\(478\) −2.15122 5.28490i −0.0983945 0.241725i
\(479\) −19.7088 −0.900517 −0.450259 0.892898i \(-0.648668\pi\)
−0.450259 + 0.892898i \(0.648668\pi\)
\(480\) 2.13175 21.8049i 0.0973008 0.995255i
\(481\) 18.9835 0.865573
\(482\) −6.11083 15.0125i −0.278341 0.683799i
\(483\) −1.60708 + 3.84931i −0.0731246 + 0.175150i
\(484\) −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 0.796107 0.605155i \(-0.206889\pi\)
−0.605155 + 0.796107i \(0.706889\pi\)
\(488\) 5.80354 13.3132i 0.262714 0.602659i
\(489\) −3.22151 7.83943i −0.145682 0.354511i
\(490\) −6.33613 18.9571i −0.286237 0.856396i
\(491\) −27.7215 −1.25105 −0.625527 0.780203i \(-0.715116\pi\)
−0.625527 + 0.780203i \(0.715116\pi\)
\(492\) 0.827831 + 2.08690i 0.0373215 + 0.0940848i
\(493\) 1.20682 + 1.20682i 0.0543525 + 0.0543525i
\(494\) 19.1110 45.3497i 0.859843 2.04038i
\(495\) −18.6583 + 16.2261i −0.838627 + 0.729311i
\(496\) 0.325640 13.2790i 0.0146216 0.596246i
\(497\) 2.40831 2.40831i 0.108028 0.108028i
\(498\) 15.2312 + 15.5057i 0.682527 + 0.694825i
\(499\) 5.14705 0.230414 0.115207 0.993342i \(-0.463247\pi\)
0.115207 + 0.993342i \(0.463247\pi\)
\(500\) −12.2750 18.6902i −0.548957 0.835851i
\(501\) −2.16177 + 0.888353i −0.0965809 + 0.0396887i
\(502\) −9.32016 22.8968i −0.415979 1.02193i
\(503\) −12.2281 12.2281i −0.545224 0.545224i 0.379832 0.925056i \(-0.375982\pi\)
−0.925056 + 0.379832i \(0.875982\pi\)
\(504\) 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
\(507\) −11.4967 + 27.5372i −0.510587 + 1.22297i
\(508\) 0.0414220 0.000507817i 0.00183780 2.25307e-5i
\(509\) 35.8361i 1.58841i 0.607651 + 0.794204i \(0.292112\pi\)
−0.607651 + 0.794204i \(0.707888\pi\)
\(510\) −5.15900 + 4.45643i −0.228444 + 0.197334i
\(511\) 5.47596 0.242242
\(512\) −7.49332 21.3506i −0.331161 0.943574i
\(513\) 12.3298 + 30.4886i 0.544375 + 1.34611i
\(514\) −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
\(518\) −1.51723 3.72738i −0.0666634 0.163772i
\(519\) 4.08361 1.67811i 0.179251 0.0736608i
\(520\) 33.1120 10.6177i 1.45206 0.465619i
\(521\) 18.1715i 0.796107i 0.917362 + 0.398054i \(0.130314\pi\)
−0.917362 + 0.398054i \(0.869686\pi\)
\(522\) 5.34829 + 2.28919i 0.234088 + 0.100195i
\(523\) −21.7444 21.7444i −0.950815 0.950815i 0.0480305 0.998846i \(-0.484706\pi\)
−0.998846 + 0.0480305i \(0.984706\pi\)
\(524\) −7.50061 + 7.31893i −0.327666 + 0.319729i
\(525\) −1.84789 6.89411i −0.0806487 0.300884i
\(526\) 11.9382 28.3289i 0.520529 1.23520i
\(527\) −2.92261 + 2.92261i −0.127311 + 0.127311i
\(528\) −10.4137 + 23.3181i −0.453198 + 1.01479i
\(529\) 14.4612i 0.628746i
\(530\) −11.1974 + 22.4404i −0.486386 + 0.974748i
\(531\) −13.0555 + 12.9101i −0.566561 + 0.560252i
\(532\) −10.4318 0.127889i −0.452275 0.00554471i
\(533\) −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
\(537\) −16.0264 + 38.3867i −0.691589 + 1.65651i
\(538\) 12.5597 5.11242i 0.541486 0.220412i
\(539\) 23.2987i 1.00355i
\(540\) −10.6764 + 20.6401i −0.459440 + 0.888209i
\(541\) 26.6843i 1.14725i 0.819119 + 0.573623i \(0.194463\pi\)
−0.819119 + 0.573623i \(0.805537\pi\)
\(542\) −11.1476 27.3862i −0.478830 1.17634i
\(543\) 14.4945 34.7176i 0.622019 1.48987i
\(544\) −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 \(-0.515068\pi\)
0.998880 + 0.0473207i \(0.0150683\pi\)
\(548\) −0.488829 + 39.8732i −0.0208817 + 1.70330i
\(549\) −10.9532 + 10.8312i −0.467470 + 0.462264i
\(550\) 6.66422 + 25.1981i 0.284163 + 1.07445i
\(551\) 8.67873i 0.369726i
\(552\) 0.303295 14.3122i 0.0129091 0.609169i
\(553\) −0.641507 + 0.641507i −0.0272797 + 0.0272797i
\(554\) 16.3355 + 6.88398i 0.694027 + 0.292472i
\(555\) 4.28125 + 12.6687i 0.181729 + 0.537754i
\(556\) 13.2003 12.8805i 0.559817 0.546257i
\(557\) −7.30615 7.30615i −0.309572 0.309572i 0.535172 0.844743i \(-0.320247\pi\)
−0.844743 + 0.535172i \(0.820247\pi\)
\(558\) −5.54383 + 12.9522i −0.234689 + 0.548310i
\(559\) 6.37128i 0.269476i
\(560\) −4.73122 5.65290i −0.199931 0.238878i
\(561\) 7.35005 3.02041i 0.310319 0.127522i
\(562\) 15.9704 6.50074i 0.673669 0.274217i
\(563\) 21.3458 21.3458i 0.899616 0.899616i −0.0957856 0.995402i \(-0.530536\pi\)
0.995402 + 0.0957856i \(0.0305363\pi\)
\(564\) 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
\(567\) −5.30335 + 5.18588i −0.222720 + 0.217787i
\(568\) −4.67081 + 10.7147i −0.195983 + 0.449579i
\(569\) −35.6410 −1.49415 −0.747075 0.664740i \(-0.768542\pi\)
−0.747075 + 0.664740i \(0.768542\pi\)
\(570\) 34.5742 + 2.52622i 1.44815 + 0.105812i
\(571\) 9.49296i 0.397268i 0.980074 + 0.198634i \(0.0636505\pi\)
−0.980074 + 0.198634i \(0.936350\pi\)
\(572\) −40.5293 0.496873i −1.69462 0.0207753i
\(573\) 8.66419 20.7527i 0.361952 0.866955i
\(574\) 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 0.892879 0.450297i \(-0.148682\pi\)
−0.450297 + 0.892879i \(0.648682\pi\)
\(578\) −20.2384 + 8.23803i −0.841805 + 0.342657i
\(579\) 21.4926 8.83212i 0.893203 0.367050i
\(580\) 4.65397 3.99320i 0.193246 0.165809i
\(581\) 7.31307 0.303397
\(582\) 13.3981 13.1609i 0.555367 0.545537i
\(583\) 20.6708 20.6708i 0.856097 0.856097i
\(584\) −17.4916 + 6.87124i −0.723808 + 0.284334i
\(585\) −36.7927 2.56519i −1.52119 0.106057i
\(586\) −9.51801 4.01102i −0.393186 0.165694i
\(587\) −17.1910 17.1910i −0.709550 0.709550i 0.256891 0.966441i \(-0.417302\pi\)
−0.966441 + 0.256891i \(0.917302\pi\)
\(588\) 8.07357 + 20.3529i 0.332949 + 0.839339i
\(589\) 21.0177 0.866018
\(590\) 6.13515 + 18.3558i 0.252580 + 0.755697i
\(591\) 11.9737 + 29.1376i 0.492534 + 1.19856i
\(592\) 9.52355 + 10.0024i 0.391415 + 0.411095i
\(593\) 9.69544 + 9.69544i 0.398144 + 0.398144i 0.877578 0.479434i \(-0.159158\pi\)
−0.479434 + 0.877578i \(0.659158\pi\)
\(594\) 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
\(597\) 0.0309379 0.0741033i 0.00126621 0.00303285i
\(598\) 21.0442 8.56604i 0.860560 0.350291i
\(599\) 26.8502 1.09707 0.548535 0.836128i \(-0.315186\pi\)
0.548535 + 0.836128i \(0.315186\pi\)
\(600\) 14.5534 + 19.7028i 0.594139 + 0.804363i
\(601\) −42.9566 −1.75224 −0.876119 0.482095i \(-0.839876\pi\)
−0.876119 + 0.482095i \(0.839876\pi\)
\(602\) 1.25099 0.509217i 0.0509866 0.0207541i
\(603\) −20.8156 0.116555i −0.847677 0.00474649i
\(604\) −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 0.928033 + 0.372498i \(0.121499\pi\)
0.372498 + 0.928033i \(0.378501\pi\)
\(608\) 33.4822 12.6813i 1.35788 0.514294i
\(609\) 1.81051 0.744004i 0.0733654 0.0301486i
\(610\) 5.14720 + 15.4000i 0.208404 + 0.623526i
\(611\) 48.8691 1.97703
\(612\) 5.37408 5.18549i 0.217234 0.209611i
\(613\) −20.1419 20.1419i −0.813522 0.813522i 0.171638 0.985160i \(-0.445094\pi\)
−0.985160 + 0.171638i \(0.945094\pi\)
\(614\) −16.9527 7.14408i −0.684154 0.288311i
\(615\) −2.24973 1.11324i −0.0907177 0.0448903i
\(616\) 3.14170 + 7.99760i 0.126583 + 0.322232i
\(617\) −7.33463 + 7.33463i −0.295281 + 0.295281i −0.839162 0.543881i \(-0.816954\pi\)
0.543881 + 0.839162i \(0.316954\pi\)
\(618\) −20.1022 20.4645i −0.808631 0.823202i
\(619\) 11.9287 0.479456 0.239728 0.970840i \(-0.422942\pi\)
0.239728 + 0.970840i \(0.422942\pi\)
\(620\) 9.67051 + 11.2707i 0.388377 + 0.452644i
\(621\) −5.92821 + 13.9787i −0.237891 + 0.560947i
\(622\) −40.0410 + 16.2987i −1.60550 + 0.653519i
\(623\) 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
\(627\) −37.2890 15.5681i −1.48918 0.621729i
\(628\) 0.220843 18.0139i 0.00881260 0.718834i
\(629\) 4.29751i 0.171353i
\(630\) 2.43695 + 7.42923i 0.0970903 + 0.295988i
\(631\) 7.13985 0.284233 0.142116 0.989850i \(-0.454609\pi\)
0.142116 + 0.989850i \(0.454609\pi\)
\(632\) 1.24417 2.85410i 0.0494905 0.113530i
\(633\) 0.394421 0.944728i 0.0156768 0.0375496i
\(634\) 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
\(638\) −6.62057 + 2.69490i −0.262111 + 0.106692i
\(639\) 8.81533 8.71716i 0.348729 0.344846i
\(640\) 22.2060 + 12.1200i 0.877768 + 0.479086i
\(641\) 30.0187i 1.18567i −0.805325 0.592834i \(-0.798009\pi\)
0.805325 0.592834i \(-0.201991\pi\)
\(642\) 14.4489 14.1932i 0.570254 0.560160i
\(643\) 32.7048 + 32.7048i 1.28975 + 1.28975i 0.934938 + 0.354812i \(0.115455\pi\)
0.354812 + 0.934938i \(0.384545\pi\)
\(644\) −3.36386 3.44736i −0.132555 0.135845i
\(645\) −4.25188 + 1.43688i −0.167418 + 0.0565772i
\(646\) −10.2663 4.32637i −0.403923 0.170219i
\(647\) 2.53026 2.53026i 0.0994747 0.0994747i −0.655618 0.755093i \(-0.727592\pi\)
0.755093 + 0.655618i \(0.227592\pi\)
\(648\) 10.4330 23.2197i 0.409847 0.912154i
\(649\) 22.5597i 0.885545i
\(650\) −19.5477 + 33.6053i −0.766725 + 1.31811i
\(651\) 1.80179 + 4.38458i 0.0706176 + 0.171845i
\(652\) 9.78598 + 0.119972i 0.383248 + 0.00469847i
\(653\) 23.8061 23.8061i 0.931604 0.931604i −0.0662023 0.997806i \(-0.521088\pi\)
0.997806 + 0.0662023i \(0.0210883\pi\)
\(654\) −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
\(657\) 19.9325 + 0.111610i 0.777640 + 0.00435432i
\(658\) −3.90581 9.59539i −0.152264 0.374067i
\(659\) 15.7130i 0.612093i 0.952017 + 0.306047i \(0.0990063\pi\)
−0.952017 + 0.306047i \(0.900994\pi\)
\(660\) −8.80879 27.1593i −0.342882 1.05718i
\(661\) 25.2637i 0.982643i −0.870978 0.491322i \(-0.836514\pi\)
0.870978 0.491322i \(-0.163486\pi\)
\(662\) 10.8536 4.41798i 0.421839 0.171710i
\(663\) 10.9378 + 4.56649i 0.424788 + 0.177348i
\(664\) −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
\(668\) 0.0330830 2.69854i 0.00128002 0.104410i
\(669\) 38.1937 15.6952i 1.47665 0.606812i
\(670\) −9.79680 + 19.6334i −0.378483 + 0.758505i
\(671\) 18.9269i 0.730664i
\(672\) 5.51584 + 5.89773i 0.212778 + 0.227510i
\(673\) −15.4486 + 15.4486i −0.595498 + 0.595498i −0.939111 0.343613i \(-0.888349\pi\)
0.343613 + 0.939111i \(0.388349\pi\)
\(674\) −1.76824 + 4.19597i −0.0681099 + 0.161623i
\(675\) −6.58581 25.1322i −0.253488 0.967339i
\(676\) −24.0644 24.6618i −0.925554 0.948529i
\(677\) 3.86002 + 3.86002i 0.148353 + 0.148353i 0.777382 0.629029i \(-0.216547\pi\)
−0.629029 + 0.777382i \(0.716547\pi\)
\(678\) 21.2117 20.8362i 0.814630 0.800210i
\(679\) 6.31904i 0.242503i
\(680\) −2.40366 7.49594i −0.0921761 0.287456i
\(681\) 6.73505 + 16.3895i 0.258088 + 0.628046i
\(682\) −6.52637 16.0333i −0.249908 0.613947i
\(683\) −20.9584 + 20.9584i −0.801949 + 0.801949i −0.983400 0.181451i \(-0.941921\pi\)
0.181451 + 0.983400i \(0.441921\pi\)
\(684\) −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
\(687\) −36.7749 15.3534i −1.40305 0.585770i
\(688\) −3.35702 + 3.19631i −0.127985 + 0.121858i
\(689\) 43.6032 1.66115
\(690\) 10.4625 + 12.1120i 0.398302 + 0.461095i
\(691\) 26.8902i 1.02295i 0.859298 + 0.511475i \(0.170901\pi\)
−0.859298 + 0.511475i \(0.829099\pi\)
\(692\) −0.0624943 + 5.09759i −0.00237568 + 0.193781i
\(693\) 0.0510309 9.11363i 0.00193850 0.346198i
\(694\) 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
\(698\) 9.45148 + 23.2194i 0.357744 + 0.878869i
\(699\) 4.14389 + 10.0840i 0.156736 + 0.381412i
\(700\) 8.16069 + 1.15231i 0.308445 + 0.0435531i
\(701\) −35.7956 −1.35198 −0.675990 0.736911i \(-0.736284\pi\)
−0.675990 + 0.736911i \(0.736284\pi\)
\(702\) 40.3980 + 0.586964i 1.52472 + 0.0221535i
\(703\) −15.4525 + 15.4525i −0.582804 + 0.582804i
\(704\) −20.0708 21.6041i −0.756445 0.814236i
\(705\) 11.0212 + 32.6128i 0.415083 + 1.22827i
\(706\) −8.21566 + 19.4955i −0.309200 + 0.733723i
\(707\) 5.73705 + 5.73705i 0.215764 + 0.215764i
\(708\) −7.81748 19.7073i −0.293799 0.740646i
\(709\) −31.6856 −1.18998 −0.594988 0.803735i \(-0.702843\pi\)
−0.594988 + 0.803735i \(0.702843\pi\)
\(710\) −4.14257 12.3942i −0.155468 0.465145i
\(711\) −2.34816 + 2.32201i −0.0880628 + 0.0870821i
\(712\) −39.8152 17.3564i −1.49214 0.650459i
\(713\) 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
\(717\) −6.44887 2.69238i −0.240837 0.100549i
\(718\) 13.1837 + 32.3883i 0.492010 + 1.20872i
\(719\) 47.9558 1.78845 0.894225 0.447618i \(-0.147728\pi\)
0.894225 + 0.447618i \(0.147728\pi\)
\(720\) −17.1064 20.6729i −0.637518 0.770435i
\(721\) −9.65184 −0.359453
\(722\) 11.2280 + 27.5837i 0.417861 + 1.02656i
\(723\) −18.3189 7.64809i −0.681287 0.284435i
\(724\) 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 0.978390 0.206768i \(-0.0662946\pi\)
−0.206768 + 0.978390i \(0.566295\pi\)
\(728\) −5.12153 + 11.7487i −0.189817 + 0.435435i
\(729\) −19.4099 + 18.7685i −0.718884 + 0.695130i
\(730\) 9.38116 18.8004i 0.347212 0.695835i
\(731\) 1.44234 0.0533468
\(732\) −6.55862 16.5338i −0.242414 0.611108i
\(733\) 11.3990 + 11.3990i 0.421033 + 0.421033i 0.885559 0.464526i \(-0.153775\pi\)
−0.464526 + 0.885559i \(0.653775\pi\)
\(734\) −7.25237 + 17.2096i −0.267690 + 0.635219i
\(735\) −21.9409 10.8571i −0.809302 0.400470i
\(736\) 15.0708 + 6.79077i 0.555516 + 0.250311i
\(737\) 18.0852 18.0852i 0.666176 0.666176i
\(738\) 2.52785 + 1.08198i 0.0930514 + 0.0398281i
\(739\) 9.60683 0.353393 0.176697 0.984265i \(-0.443459\pi\)
0.176697 + 0.984265i \(0.443459\pi\)
\(740\) −15.3964 1.17651i −0.565981 0.0432495i
\(741\) −22.9092 55.7487i −0.841591 2.04798i
\(742\) −3.48493 8.56143i −0.127936 0.314300i
\(743\) −2.71436 2.71436i −0.0995802 0.0995802i 0.655562 0.755142i \(-0.272432\pi\)
−0.755142 + 0.655562i \(0.772432\pi\)
\(744\) −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
\(747\) 26.6196 + 0.149054i 0.973958 + 0.00545359i
\(748\) −0.112483 + 9.17508i −0.00411277 + 0.335474i
\(749\) 6.81468i 0.249003i
\(750\) −26.8350 5.46636i −0.979877 0.199603i
\(751\) −18.9690 −0.692189 −0.346094 0.938200i \(-0.612492\pi\)
−0.346094 + 0.938200i \(0.612492\pi\)
\(752\) 24.5164 + 25.7491i 0.894022 + 0.938972i
\(753\) −27.9397 11.6648i −1.01818 0.425087i
\(754\) −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 \(-0.747713\pi\)
0.712170 + 0.702008i \(0.247713\pi\)
\(758\) 1.45739 + 3.58037i 0.0529349 + 0.130045i
\(759\) −7.09113 17.2560i −0.257392 0.626353i
\(760\) −18.3103 + 35.5960i −0.664185 + 1.29120i
\(761\) 20.3237i 0.736733i −0.929681 0.368366i \(-0.879917\pi\)
0.929681 0.368366i \(-0.120083\pi\)
\(762\) 0.0361941 0.0355534i 0.00131117 0.00128797i
\(763\) 6.82036 + 6.82036i 0.246914 + 0.246914i
\(764\) 18.1355 + 18.5857i 0.656118 + 0.672406i
\(765\) −0.580710 + 8.32919i −0.0209956 + 0.301142i
\(766\) 13.6746 32.4494i 0.494083 1.17244i
\(767\) 23.7938 23.7938i 0.859144 0.859144i
\(768\) −25.0194 11.9176i −0.902811 0.430038i
\(769\) 25.1716i 0.907711i −0.891075 0.453855i \(-0.850048\pi\)
0.891075 0.453855i \(-0.149952\pi\)
\(770\) −8.59603 4.28930i −0.309779 0.154576i
\(771\) −15.3448 + 6.30577i −0.552631 + 0.227097i
\(772\) −0.328916 + 26.8293i −0.0118379 + 0.965607i
\(773\) 24.0474 24.0474i 0.864925 0.864925i −0.126980