Properties

Label 273.2.cg.a.124.1
Level $273$
Weight $2$
Character 273.124
Analytic conductor $2.180$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(9\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 124.1
Character \(\chi\) \(=\) 273.124
Dual form 273.2.cg.a.262.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.639011 + 2.38482i) q^{2} +1.00000i q^{3} +(-3.54699 - 2.04786i) q^{4} +(-0.746344 - 2.78539i) q^{5} +(-2.38482 - 0.639011i) q^{6} +(-2.52355 - 0.794791i) q^{7} +(3.65872 - 3.65872i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(-0.639011 + 2.38482i) q^{2} +1.00000i q^{3} +(-3.54699 - 2.04786i) q^{4} +(-0.746344 - 2.78539i) q^{5} +(-2.38482 - 0.639011i) q^{6} +(-2.52355 - 0.794791i) q^{7} +(3.65872 - 3.65872i) q^{8} -1.00000 q^{9} +7.11959 q^{10} +(0.990792 - 0.990792i) q^{11} +(2.04786 - 3.54699i) q^{12} +(-3.49837 - 0.872572i) q^{13} +(3.50801 - 5.51034i) q^{14} +(2.78539 - 0.746344i) q^{15} +(2.29172 + 3.96937i) q^{16} +(3.77833 - 6.54425i) q^{17} +(0.639011 - 2.38482i) q^{18} +(-4.88884 + 4.88884i) q^{19} +(-3.05681 + 11.4082i) q^{20} +(0.794791 - 2.52355i) q^{21} +(1.72974 + 2.99599i) q^{22} +(-1.97286 + 1.13903i) q^{23} +(3.65872 + 3.65872i) q^{24} +(-2.87125 + 1.65772i) q^{25} +(4.31643 - 7.78542i) q^{26} -1.00000i q^{27} +(7.32339 + 7.98699i) q^{28} +(-3.75108 + 6.49707i) q^{29} +7.11959i q^{30} +(-5.19745 - 1.39265i) q^{31} +(-0.934879 + 0.250500i) q^{32} +(0.990792 + 0.990792i) q^{33} +(13.1925 + 13.1925i) q^{34} +(-0.330370 + 7.62227i) q^{35} +(3.54699 + 2.04786i) q^{36} +(-2.20910 - 0.591926i) q^{37} +(-8.53499 - 14.7830i) q^{38} +(0.872572 - 3.49837i) q^{39} +(-12.9216 - 7.46031i) q^{40} +(-2.38652 - 8.90661i) q^{41} +(5.51034 + 3.50801i) q^{42} +(3.04772 - 1.75960i) q^{43} +(-5.54333 + 1.48533i) q^{44} +(0.746344 + 2.78539i) q^{45} +(-1.45571 - 5.43279i) q^{46} +(-0.833593 + 0.223361i) q^{47} +(-3.96937 + 2.29172i) q^{48} +(5.73661 + 4.01139i) q^{49} +(-2.11860 - 7.90673i) q^{50} +(6.54425 + 3.77833i) q^{51} +(10.6218 + 10.2592i) q^{52} +(-0.886338 - 1.53518i) q^{53} +(2.38482 + 0.639011i) q^{54} +(-3.49922 - 2.02027i) q^{55} +(-12.1409 + 6.32504i) q^{56} +(-4.88884 - 4.88884i) q^{57} +(-13.0974 - 13.0974i) q^{58} +(5.19948 - 1.39320i) q^{59} +(-11.4082 - 3.05681i) q^{60} -4.18771i q^{61} +(6.64246 - 11.5051i) q^{62} +(2.52355 + 0.794791i) q^{63} +6.77728i q^{64} +(0.180534 + 10.3956i) q^{65} +(-2.99599 + 1.72974i) q^{66} +(-3.93850 - 3.93850i) q^{67} +(-26.8034 + 15.4749i) q^{68} +(-1.13903 - 1.97286i) q^{69} +(-17.9666 - 5.65859i) q^{70} +(-1.75325 + 6.54321i) q^{71} +(-3.65872 + 3.65872i) q^{72} +(2.17041 - 8.10009i) q^{73} +(2.82328 - 4.89006i) q^{74} +(-1.65772 - 2.87125i) q^{75} +(27.3523 - 7.32903i) q^{76} +(-3.28779 + 1.71284i) q^{77} +(7.78542 + 4.31643i) q^{78} +(0.411935 - 0.713493i) q^{79} +(9.34585 - 9.34585i) q^{80} +1.00000 q^{81} +22.7657 q^{82} +(-2.15380 + 2.15380i) q^{83} +(-7.98699 + 7.32339i) q^{84} +(-21.0482 - 5.63986i) q^{85} +(2.24881 + 8.39268i) q^{86} +(-6.49707 - 3.75108i) q^{87} -7.25006i q^{88} +(-0.666102 + 2.48593i) q^{89} -7.11959 q^{90} +(8.13481 + 4.98246i) q^{91} +9.33031 q^{92} +(1.39265 - 5.19745i) q^{93} -2.13070i q^{94} +(17.2661 + 9.96859i) q^{95} +(-0.250500 - 0.934879i) q^{96} +(-8.79336 - 2.35617i) q^{97} +(-13.2322 + 11.1175i) q^{98} +(-0.990792 + 0.990792i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 4q^{7} - 36q^{9} + O(q^{10}) \) \( 36q + 4q^{7} - 36q^{9} + 4q^{11} + 16q^{12} + 42q^{14} + 12q^{16} - 4q^{17} - 24q^{19} - 14q^{20} + 4q^{22} - 12q^{23} - 24q^{25} - 28q^{26} - 12q^{28} + 8q^{29} - 6q^{31} + 46q^{32} + 4q^{33} + 24q^{34} - 10q^{35} - 20q^{37} + 8q^{38} - 2q^{39} - 30q^{40} - 34q^{41} + 24q^{42} + 30q^{43} - 32q^{44} - 26q^{46} + 4q^{47} - 24q^{48} - 20q^{50} + 24q^{51} + 98q^{52} - 8q^{53} + 30q^{55} - 10q^{56} - 24q^{57} - 96q^{58} - 14q^{59} - 46q^{60} + 48q^{62} - 4q^{63} + 28q^{65} + 18q^{66} + 62q^{67} - 54q^{68} - 4q^{69} - 148q^{70} + 42q^{71} - 52q^{73} - 20q^{74} - 10q^{75} - 12q^{76} - 24q^{77} - 16q^{78} + 76q^{80} + 36q^{81} + 48q^{82} + 60q^{83} + 50q^{84} + 2q^{85} + 12q^{86} + 18q^{87} + 50q^{89} + 40q^{91} - 100q^{92} - 6q^{93} + 24q^{95} - 4q^{96} - 36q^{97} + 16q^{98} - 4q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{11}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.639011 + 2.38482i −0.451849 + 1.68632i 0.245340 + 0.969437i \(0.421100\pi\)
−0.697189 + 0.716887i \(0.745566\pi\)
\(3\) 1.00000i 0.577350i
\(4\) −3.54699 2.04786i −1.77350 1.02393i
\(5\) −0.746344 2.78539i −0.333775 1.24567i −0.905191 0.425005i \(-0.860272\pi\)
0.571416 0.820661i \(-0.306394\pi\)
\(6\) −2.38482 0.639011i −0.973600 0.260875i
\(7\) −2.52355 0.794791i −0.953812 0.300403i
\(8\) 3.65872 3.65872i 1.29355 1.29355i
\(9\) −1.00000 −0.333333
\(10\) 7.11959 2.25141
\(11\) 0.990792 0.990792i 0.298735 0.298735i −0.541783 0.840518i \(-0.682251\pi\)
0.840518 + 0.541783i \(0.182251\pi\)
\(12\) 2.04786 3.54699i 0.591165 1.02393i
\(13\) −3.49837 0.872572i −0.970274 0.242008i
\(14\) 3.50801 5.51034i 0.937556 1.47270i
\(15\) 2.78539 0.746344i 0.719185 0.192705i
\(16\) 2.29172 + 3.96937i 0.572930 + 0.992343i
\(17\) 3.77833 6.54425i 0.916379 1.58721i 0.111509 0.993763i \(-0.464432\pi\)
0.804870 0.593451i \(-0.202235\pi\)
\(18\) 0.639011 2.38482i 0.150616 0.562108i
\(19\) −4.88884 + 4.88884i −1.12158 + 1.12158i −0.130073 + 0.991504i \(0.541521\pi\)
−0.991504 + 0.130073i \(0.958479\pi\)
\(20\) −3.05681 + 11.4082i −0.683523 + 2.55094i
\(21\) 0.794791 2.52355i 0.173438 0.550684i
\(22\) 1.72974 + 2.99599i 0.368781 + 0.638747i
\(23\) −1.97286 + 1.13903i −0.411371 + 0.237505i −0.691378 0.722493i \(-0.742996\pi\)
0.280008 + 0.959998i \(0.409663\pi\)
\(24\) 3.65872 + 3.65872i 0.746833 + 0.746833i
\(25\) −2.87125 + 1.65772i −0.574251 + 0.331544i
\(26\) 4.31643 7.78542i 0.846521 1.52685i
\(27\) 1.00000i 0.192450i
\(28\) 7.32339 + 7.98699i 1.38399 + 1.50940i
\(29\) −3.75108 + 6.49707i −0.696559 + 1.20647i 0.273094 + 0.961987i \(0.411953\pi\)
−0.969652 + 0.244487i \(0.921380\pi\)
\(30\) 7.11959i 1.29985i
\(31\) −5.19745 1.39265i −0.933490 0.250128i −0.240148 0.970736i \(-0.577196\pi\)
−0.693342 + 0.720608i \(0.743863\pi\)
\(32\) −0.934879 + 0.250500i −0.165265 + 0.0442826i
\(33\) 0.990792 + 0.990792i 0.172475 + 0.172475i
\(34\) 13.1925 + 13.1925i 2.26249 + 2.26249i
\(35\) −0.330370 + 7.62227i −0.0558426 + 1.28840i
\(36\) 3.54699 + 2.04786i 0.591165 + 0.341309i
\(37\) −2.20910 0.591926i −0.363174 0.0973121i 0.0726176 0.997360i \(-0.476865\pi\)
−0.435791 + 0.900048i \(0.643531\pi\)
\(38\) −8.53499 14.7830i −1.38456 2.39813i
\(39\) 0.872572 3.49837i 0.139723 0.560188i
\(40\) −12.9216 7.46031i −2.04309 1.17958i
\(41\) −2.38652 8.90661i −0.372712 1.39098i −0.856659 0.515882i \(-0.827464\pi\)
0.483948 0.875097i \(-0.339203\pi\)
\(42\) 5.51034 + 3.50801i 0.850264 + 0.541298i
\(43\) 3.04772 1.75960i 0.464773 0.268337i −0.249276 0.968432i \(-0.580193\pi\)
0.714049 + 0.700096i \(0.246859\pi\)
\(44\) −5.54333 + 1.48533i −0.835689 + 0.223922i
\(45\) 0.746344 + 2.78539i 0.111258 + 0.415222i
\(46\) −1.45571 5.43279i −0.214633 0.801021i
\(47\) −0.833593 + 0.223361i −0.121592 + 0.0325805i −0.319102 0.947720i \(-0.603381\pi\)
0.197510 + 0.980301i \(0.436715\pi\)
\(48\) −3.96937 + 2.29172i −0.572930 + 0.330781i
\(49\) 5.73661 + 4.01139i 0.819516 + 0.573056i
\(50\) −2.11860 7.90673i −0.299616 1.11818i
\(51\) 6.54425 + 3.77833i 0.916379 + 0.529072i
\(52\) 10.6218 + 10.2592i 1.47298 + 1.42269i
\(53\) −0.886338 1.53518i −0.121748 0.210873i 0.798709 0.601717i \(-0.205517\pi\)
−0.920457 + 0.390844i \(0.872183\pi\)
\(54\) 2.38482 + 0.639011i 0.324533 + 0.0869584i
\(55\) −3.49922 2.02027i −0.471834 0.272414i
\(56\) −12.1409 + 6.32504i −1.62239 + 0.845220i
\(57\) −4.88884 4.88884i −0.647543 0.647543i
\(58\) −13.0974 13.0974i −1.71977 1.71977i
\(59\) 5.19948 1.39320i 0.676915 0.181379i 0.0960471 0.995377i \(-0.469380\pi\)
0.580868 + 0.813998i \(0.302713\pi\)
\(60\) −11.4082 3.05681i −1.47279 0.394632i
\(61\) 4.18771i 0.536182i −0.963394 0.268091i \(-0.913607\pi\)
0.963394 0.268091i \(-0.0863927\pi\)
\(62\) 6.64246 11.5051i 0.843594 1.46115i
\(63\) 2.52355 + 0.794791i 0.317937 + 0.100134i
\(64\) 6.77728i 0.847160i
\(65\) 0.180534 + 10.3956i 0.0223925 + 1.28941i
\(66\) −2.99599 + 1.72974i −0.368781 + 0.212916i
\(67\) −3.93850 3.93850i −0.481165 0.481165i 0.424339 0.905504i \(-0.360507\pi\)
−0.905504 + 0.424339i \(0.860507\pi\)
\(68\) −26.8034 + 15.4749i −3.25039 + 1.87661i
\(69\) −1.13903 1.97286i −0.137124 0.237505i
\(70\) −17.9666 5.65859i −2.14742 0.676330i
\(71\) −1.75325 + 6.54321i −0.208072 + 0.776536i 0.780419 + 0.625257i \(0.215006\pi\)
−0.988491 + 0.151279i \(0.951661\pi\)
\(72\) −3.65872 + 3.65872i −0.431184 + 0.431184i
\(73\) 2.17041 8.10009i 0.254027 0.948043i −0.714601 0.699532i \(-0.753392\pi\)
0.968629 0.248512i \(-0.0799414\pi\)
\(74\) 2.82328 4.89006i 0.328199 0.568458i
\(75\) −1.65772 2.87125i −0.191417 0.331544i
\(76\) 27.3523 7.32903i 3.13753 0.840698i
\(77\) −3.28779 + 1.71284i −0.374678 + 0.195196i
\(78\) 7.78542 + 4.31643i 0.881525 + 0.488739i
\(79\) 0.411935 0.713493i 0.0463463 0.0802742i −0.841922 0.539600i \(-0.818576\pi\)
0.888268 + 0.459326i \(0.151909\pi\)
\(80\) 9.34585 9.34585i 1.04490 1.04490i
\(81\) 1.00000 0.111111
\(82\) 22.7657 2.51405
\(83\) −2.15380 + 2.15380i −0.236410 + 0.236410i −0.815362 0.578952i \(-0.803462\pi\)
0.578952 + 0.815362i \(0.303462\pi\)
\(84\) −7.98699 + 7.32339i −0.871452 + 0.799048i
\(85\) −21.0482 5.63986i −2.28300 0.611729i
\(86\) 2.24881 + 8.39268i 0.242496 + 0.905006i
\(87\) −6.49707 3.75108i −0.696559 0.402158i
\(88\) 7.25006i 0.772859i
\(89\) −0.666102 + 2.48593i −0.0706067 + 0.263508i −0.992201 0.124646i \(-0.960220\pi\)
0.921595 + 0.388154i \(0.126887\pi\)
\(90\) −7.11959 −0.750470
\(91\) 8.13481 + 4.98246i 0.852760 + 0.522303i
\(92\) 9.33031 0.972752
\(93\) 1.39265 5.19745i 0.144411 0.538951i
\(94\) 2.13070i 0.219765i
\(95\) 17.2661 + 9.96859i 1.77146 + 1.02276i
\(96\) −0.250500 0.934879i −0.0255666 0.0954157i
\(97\) −8.79336 2.35617i −0.892830 0.239233i −0.216896 0.976195i \(-0.569593\pi\)
−0.675934 + 0.736962i \(0.736260\pi\)
\(98\) −13.2322 + 11.1175i −1.33666 + 1.12304i
\(99\) −0.990792 + 0.990792i −0.0995784 + 0.0995784i
\(100\) 13.5791 1.35791
\(101\) 17.9528 1.78637 0.893187 0.449686i \(-0.148464\pi\)
0.893187 + 0.449686i \(0.148464\pi\)
\(102\) −13.1925 + 13.1925i −1.30625 + 1.30625i
\(103\) −3.06226 + 5.30399i −0.301734 + 0.522618i −0.976529 0.215387i \(-0.930899\pi\)
0.674795 + 0.738005i \(0.264232\pi\)
\(104\) −15.9921 + 9.60707i −1.56815 + 0.942051i
\(105\) −7.62227 0.330370i −0.743857 0.0322408i
\(106\) 4.22752 1.13276i 0.410613 0.110023i
\(107\) 2.36698 + 4.09974i 0.228825 + 0.396336i 0.957460 0.288566i \(-0.0931783\pi\)
−0.728635 + 0.684902i \(0.759845\pi\)
\(108\) −2.04786 + 3.54699i −0.197055 + 0.341309i
\(109\) −4.56224 + 17.0265i −0.436983 + 1.63084i 0.299291 + 0.954162i \(0.403250\pi\)
−0.736275 + 0.676683i \(0.763417\pi\)
\(110\) 7.05403 7.05403i 0.672576 0.672576i
\(111\) 0.591926 2.20910i 0.0561832 0.209678i
\(112\) −2.62844 11.8384i −0.248365 1.11862i
\(113\) −6.86440 11.8895i −0.645748 1.11847i −0.984128 0.177459i \(-0.943212\pi\)
0.338380 0.941010i \(-0.390121\pi\)
\(114\) 14.7830 8.53499i 1.38456 0.799376i
\(115\) 4.64509 + 4.64509i 0.433157 + 0.433157i
\(116\) 26.6101 15.3634i 2.47069 1.42645i
\(117\) 3.49837 + 0.872572i 0.323425 + 0.0806693i
\(118\) 13.2901i 1.22345i
\(119\) −14.7361 + 13.5118i −1.35086 + 1.23862i
\(120\) 7.46031 12.9216i 0.681030 1.17958i
\(121\) 9.03666i 0.821515i
\(122\) 9.98695 + 2.67600i 0.904176 + 0.242273i
\(123\) 8.90661 2.38652i 0.803082 0.215185i
\(124\) 15.5834 + 15.5834i 1.39943 + 1.39943i
\(125\) −3.43490 3.43490i −0.307227 0.307227i
\(126\) −3.50801 + 5.51034i −0.312519 + 0.490900i
\(127\) −9.36268 5.40554i −0.830803 0.479665i 0.0233243 0.999728i \(-0.492575\pi\)
−0.854128 + 0.520063i \(0.825908\pi\)
\(128\) −18.0324 4.83176i −1.59385 0.427071i
\(129\) 1.75960 + 3.04772i 0.154924 + 0.268337i
\(130\) −24.9070 6.21235i −2.18449 0.544859i
\(131\) 15.7531 + 9.09505i 1.37635 + 0.794638i 0.991719 0.128431i \(-0.0409939\pi\)
0.384635 + 0.923069i \(0.374327\pi\)
\(132\) −1.48533 5.54333i −0.129282 0.482485i
\(133\) 16.2228 8.45163i 1.40670 0.732849i
\(134\) 11.9094 6.87588i 1.02881 0.593986i
\(135\) −2.78539 + 0.746344i −0.239728 + 0.0642350i
\(136\) −10.1197 37.7674i −0.867761 3.23853i
\(137\) −2.52073 9.40750i −0.215361 0.803737i −0.986039 0.166513i \(-0.946749\pi\)
0.770679 0.637224i \(-0.219917\pi\)
\(138\) 5.43279 1.45571i 0.462469 0.123918i
\(139\) 13.6153 7.86079i 1.15483 0.666744i 0.204773 0.978809i \(-0.434354\pi\)
0.950060 + 0.312066i \(0.101021\pi\)
\(140\) 16.7811 26.3596i 1.41826 2.22779i
\(141\) −0.223361 0.833593i −0.0188104 0.0702012i
\(142\) −14.4840 8.36236i −1.21547 0.701754i
\(143\) −4.33070 + 2.60162i −0.362151 + 0.217559i
\(144\) −2.29172 3.96937i −0.190977 0.330781i
\(145\) 20.8965 + 5.59919i 1.73536 + 0.464988i
\(146\) 17.9303 + 10.3521i 1.48393 + 0.856745i
\(147\) −4.01139 + 5.73661i −0.330854 + 0.473148i
\(148\) 6.62347 + 6.62347i 0.544446 + 0.544446i
\(149\) −9.10487 9.10487i −0.745900 0.745900i 0.227807 0.973706i \(-0.426845\pi\)
−0.973706 + 0.227807i \(0.926845\pi\)
\(150\) 7.90673 2.11860i 0.645582 0.172983i
\(151\) −3.37382 0.904012i −0.274557 0.0735674i 0.118913 0.992905i \(-0.462059\pi\)
−0.393471 + 0.919337i \(0.628726\pi\)
\(152\) 35.7738i 2.90164i
\(153\) −3.77833 + 6.54425i −0.305460 + 0.529072i
\(154\) −1.98389 8.93531i −0.159866 0.720028i
\(155\) 15.5163i 1.24630i
\(156\) −10.2592 + 10.6218i −0.821391 + 0.850425i
\(157\) 0.246511 0.142323i 0.0196737 0.0113586i −0.490131 0.871649i \(-0.663051\pi\)
0.509805 + 0.860290i \(0.329718\pi\)
\(158\) 1.43832 + 1.43832i 0.114427 + 0.114427i
\(159\) 1.53518 0.886338i 0.121748 0.0702911i
\(160\) 1.39548 + 2.41705i 0.110323 + 0.191084i
\(161\) 5.88392 1.30639i 0.463718 0.102958i
\(162\) −0.639011 + 2.38482i −0.0502055 + 0.187369i
\(163\) 9.69311 9.69311i 0.759223 0.759223i −0.216958 0.976181i \(-0.569614\pi\)
0.976181 + 0.216958i \(0.0696135\pi\)
\(164\) −9.77450 + 36.4789i −0.763260 + 2.84853i
\(165\) 2.02027 3.49922i 0.157278 0.272414i
\(166\) −3.76012 6.51273i −0.291842 0.505486i
\(167\) 8.45838 2.26642i 0.654529 0.175381i 0.0837535 0.996487i \(-0.473309\pi\)
0.570776 + 0.821106i \(0.306642\pi\)
\(168\) −6.32504 12.1409i −0.487988 0.936689i
\(169\) 11.4772 + 6.10516i 0.882864 + 0.469628i
\(170\) 26.9001 46.5924i 2.06315 3.57347i
\(171\) 4.88884 4.88884i 0.373859 0.373859i
\(172\) −14.4137 −1.09903
\(173\) −10.8426 −0.824344 −0.412172 0.911106i \(-0.635230\pi\)
−0.412172 + 0.911106i \(0.635230\pi\)
\(174\) 13.0974 13.0974i 0.992909 0.992909i
\(175\) 8.56330 1.90129i 0.647324 0.143724i
\(176\) 6.20344 + 1.66221i 0.467602 + 0.125294i
\(177\) 1.39320 + 5.19948i 0.104719 + 0.390817i
\(178\) −5.50285 3.17707i −0.412456 0.238131i
\(179\) 8.17300i 0.610879i −0.952212 0.305439i \(-0.901197\pi\)
0.952212 0.305439i \(-0.0988033\pi\)
\(180\) 3.05681 11.4082i 0.227841 0.850315i
\(181\) −4.10394 −0.305043 −0.152522 0.988300i \(-0.548739\pi\)
−0.152522 + 0.988300i \(0.548739\pi\)
\(182\) −17.0805 + 16.2162i −1.26609 + 1.20203i
\(183\) 4.18771 0.309565
\(184\) −3.05075 + 11.3856i −0.224904 + 0.839355i
\(185\) 6.59499i 0.484873i
\(186\) 11.5051 + 6.64246i 0.843594 + 0.487049i
\(187\) −2.74046 10.2275i −0.200402 0.747911i
\(188\) 3.41416 + 0.914821i 0.249003 + 0.0667201i
\(189\) −0.794791 + 2.52355i −0.0578126 + 0.183561i
\(190\) −34.8065 + 34.8065i −2.52513 + 2.52513i
\(191\) −4.41878 −0.319732 −0.159866 0.987139i \(-0.551106\pi\)
−0.159866 + 0.987139i \(0.551106\pi\)
\(192\) −6.77728 −0.489108
\(193\) −7.97873 + 7.97873i −0.574322 + 0.574322i −0.933333 0.359011i \(-0.883114\pi\)
0.359011 + 0.933333i \(0.383114\pi\)
\(194\) 11.2381 19.4650i 0.806849 1.39750i
\(195\) −10.3956 + 0.180534i −0.744443 + 0.0129283i
\(196\) −12.1330 25.9761i −0.866640 1.85544i
\(197\) 4.66242 1.24929i 0.332183 0.0890083i −0.0888723 0.996043i \(-0.528326\pi\)
0.421056 + 0.907035i \(0.361660\pi\)
\(198\) −1.72974 2.99599i −0.122927 0.212916i
\(199\) −5.75542 + 9.96867i −0.407991 + 0.706660i −0.994664 0.103163i \(-0.967104\pi\)
0.586674 + 0.809823i \(0.300437\pi\)
\(200\) −4.43998 + 16.5702i −0.313954 + 1.17169i
\(201\) 3.93850 3.93850i 0.277801 0.277801i
\(202\) −11.4721 + 42.8143i −0.807171 + 3.01240i
\(203\) 14.6299 13.4143i 1.02681 0.941503i
\(204\) −15.4749 26.8034i −1.08346 1.87661i
\(205\) −23.0273 + 13.2948i −1.60829 + 0.928548i
\(206\) −10.6923 10.6923i −0.744965 0.744965i
\(207\) 1.97286 1.13903i 0.137124 0.0791683i
\(208\) −4.55373 15.8860i −0.315744 1.10150i
\(209\) 9.68766i 0.670109i
\(210\) 5.65859 17.9666i 0.390480 1.23982i
\(211\) −1.96759 + 3.40797i −0.135454 + 0.234614i −0.925771 0.378085i \(-0.876583\pi\)
0.790317 + 0.612699i \(0.209916\pi\)
\(212\) 7.26037i 0.498644i
\(213\) −6.54321 1.75325i −0.448333 0.120130i
\(214\) −11.2897 + 3.02506i −0.771746 + 0.206789i
\(215\) −7.17583 7.17583i −0.489388 0.489388i
\(216\) −3.65872 3.65872i −0.248944 0.248944i
\(217\) 12.0092 + 7.64532i 0.815236 + 0.518998i
\(218\) −37.6899 21.7603i −2.55268 1.47379i
\(219\) 8.10009 + 2.17041i 0.547353 + 0.146663i
\(220\) 8.27446 + 14.3318i 0.557864 + 0.966249i
\(221\) −18.9283 + 19.5974i −1.27326 + 1.31826i
\(222\) 4.89006 + 2.82328i 0.328199 + 0.189486i
\(223\) −2.38797 8.91203i −0.159910 0.596794i −0.998635 0.0522375i \(-0.983365\pi\)
0.838724 0.544556i \(-0.183302\pi\)
\(224\) 2.55831 + 0.110884i 0.170934 + 0.00740875i
\(225\) 2.87125 1.65772i 0.191417 0.110515i
\(226\) 32.7408 8.77286i 2.17788 0.583562i
\(227\) −1.52167 5.67894i −0.100997 0.376924i 0.896864 0.442307i \(-0.145840\pi\)
−0.997860 + 0.0653827i \(0.979173\pi\)
\(228\) 7.32903 + 27.3523i 0.485377 + 1.81145i
\(229\) 2.10769 0.564755i 0.139280 0.0373201i −0.188505 0.982072i \(-0.560364\pi\)
0.327786 + 0.944752i \(0.393698\pi\)
\(230\) −14.0460 + 8.10945i −0.926164 + 0.534721i
\(231\) −1.71284 3.28779i −0.112697 0.216321i
\(232\) 10.0468 + 37.4951i 0.659603 + 2.46167i
\(233\) 10.5892 + 6.11367i 0.693720 + 0.400520i 0.805004 0.593269i \(-0.202163\pi\)
−0.111284 + 0.993789i \(0.535496\pi\)
\(234\) −4.31643 + 7.78542i −0.282174 + 0.508949i
\(235\) 1.24429 + 2.15518i 0.0811688 + 0.140588i
\(236\) −21.2956 5.70613i −1.38622 0.371438i
\(237\) 0.713493 + 0.411935i 0.0463463 + 0.0267581i
\(238\) −22.8066 43.7772i −1.47833 2.83765i
\(239\) 7.97620 + 7.97620i 0.515938 + 0.515938i 0.916340 0.400402i \(-0.131130\pi\)
−0.400402 + 0.916340i \(0.631130\pi\)
\(240\) 9.34585 + 9.34585i 0.603272 + 0.603272i
\(241\) −12.4172 + 3.32719i −0.799865 + 0.214323i −0.635525 0.772081i \(-0.719216\pi\)
−0.164340 + 0.986404i \(0.552550\pi\)
\(242\) −21.5508 5.77453i −1.38534 0.371201i
\(243\) 1.00000i 0.0641500i
\(244\) −8.57584 + 14.8538i −0.549012 + 0.950916i
\(245\) 6.89181 18.9726i 0.440302 1.21211i
\(246\) 22.7657i 1.45149i
\(247\) 21.3689 12.8371i 1.35967 0.816807i
\(248\) −24.1114 + 13.9207i −1.53107 + 0.883965i
\(249\) −2.15380 2.15380i −0.136491 0.136491i
\(250\) 10.3866 5.99669i 0.656904 0.379264i
\(251\) −13.1084 22.7045i −0.827397 1.43309i −0.900073 0.435739i \(-0.856487\pi\)
0.0726757 0.997356i \(-0.476846\pi\)
\(252\) −7.32339 7.98699i −0.461330 0.503133i
\(253\) −0.826153 + 3.08324i −0.0519398 + 0.193842i
\(254\) 18.8741 18.8741i 1.18427 1.18427i
\(255\) 5.63986 21.0482i 0.353182 1.31809i
\(256\) 16.2685 28.1779i 1.01678 1.76112i
\(257\) 3.21682 + 5.57169i 0.200660 + 0.347553i 0.948741 0.316054i \(-0.102358\pi\)
−0.748081 + 0.663607i \(0.769025\pi\)
\(258\) −8.39268 + 2.24881i −0.522505 + 0.140005i
\(259\) 5.10431 + 3.24953i 0.317167 + 0.201916i
\(260\) 20.6483 37.2427i 1.28055 2.30970i
\(261\) 3.75108 6.49707i 0.232186 0.402158i
\(262\) −31.7565 + 31.7565i −1.96192 + 1.96192i
\(263\) 15.0122 0.925692 0.462846 0.886439i \(-0.346828\pi\)
0.462846 + 0.886439i \(0.346828\pi\)
\(264\) 7.25006 0.446210
\(265\) −3.61457 + 3.61457i −0.222041 + 0.222041i
\(266\) 9.78906 + 44.0893i 0.600206 + 2.70329i
\(267\) −2.48593 0.666102i −0.152136 0.0407648i
\(268\) 5.90435 + 22.0353i 0.360665 + 1.34602i
\(269\) −19.1989 11.0845i −1.17058 0.675834i −0.216763 0.976224i \(-0.569550\pi\)
−0.953816 + 0.300390i \(0.902883\pi\)
\(270\) 7.11959i 0.433284i
\(271\) 5.45440 20.3561i 0.331331 1.23655i −0.576461 0.817125i \(-0.695567\pi\)
0.907792 0.419420i \(-0.137767\pi\)
\(272\) 34.6354 2.10008
\(273\) −4.98246 + 8.13481i −0.301552 + 0.492341i
\(274\) 24.0460 1.45267
\(275\) −1.20236 + 4.48727i −0.0725051 + 0.270593i
\(276\) 9.33031i 0.561619i
\(277\) 8.54607 + 4.93407i 0.513483 + 0.296460i 0.734264 0.678864i \(-0.237527\pi\)
−0.220781 + 0.975323i \(0.570861\pi\)
\(278\) 10.0463 + 37.4932i 0.602535 + 2.24869i
\(279\) 5.19745 + 1.39265i 0.311163 + 0.0833760i
\(280\) 26.6790 + 29.0965i 1.59437 + 1.73885i
\(281\) 21.3933 21.3933i 1.27622 1.27622i 0.333449 0.942768i \(-0.391788\pi\)
0.942768 0.333449i \(-0.108212\pi\)
\(282\) 2.13070 0.126881
\(283\) 21.4880 1.27733 0.638666 0.769484i \(-0.279487\pi\)
0.638666 + 0.769484i \(0.279487\pi\)
\(284\) 19.6183 19.6183i 1.16413 1.16413i
\(285\) −9.96859 + 17.2661i −0.590488 + 1.02276i
\(286\) −3.43705 11.9904i −0.203237 0.709008i
\(287\) −1.05639 + 24.3731i −0.0623570 + 1.43870i
\(288\) 0.934879 0.250500i 0.0550883 0.0147609i
\(289\) −20.0515 34.7302i −1.17950 2.04295i
\(290\) −26.7062 + 46.2564i −1.56824 + 2.71627i
\(291\) 2.35617 8.79336i 0.138121 0.515476i
\(292\) −24.2862 + 24.2862i −1.42124 + 1.42124i
\(293\) 0.259901 0.969962i 0.0151836 0.0566658i −0.957918 0.287041i \(-0.907329\pi\)
0.973102 + 0.230375i \(0.0739952\pi\)
\(294\) −11.1175 13.2322i −0.648385 0.771719i
\(295\) −7.76120 13.4428i −0.451874 0.782670i
\(296\) −10.2482 + 5.91678i −0.595662 + 0.343906i
\(297\) −0.990792 0.990792i −0.0574916 0.0574916i
\(298\) 27.5316 15.8954i 1.59486 0.920795i
\(299\) 7.89571 2.26330i 0.456620 0.130890i
\(300\) 13.5791i 0.783989i
\(301\) −9.08960 + 2.01814i −0.523916 + 0.116324i
\(302\) 4.31182 7.46828i 0.248117 0.429751i
\(303\) 17.9528i 1.03136i
\(304\) −30.6095 8.20179i −1.75557 0.470405i
\(305\) −11.6644 + 3.12547i −0.667903 + 0.178964i
\(306\) −13.1925 13.1925i −0.754164 0.754164i
\(307\) 4.86151 + 4.86151i 0.277461 + 0.277461i 0.832095 0.554634i \(-0.187142\pi\)
−0.554634 + 0.832095i \(0.687142\pi\)
\(308\) 15.1694 + 0.657483i 0.864357 + 0.0374636i
\(309\) −5.30399 3.06226i −0.301734 0.174206i
\(310\) −37.0037 9.91512i −2.10167 0.563141i
\(311\) −6.85636 11.8756i −0.388789 0.673402i 0.603498 0.797364i \(-0.293773\pi\)
−0.992287 + 0.123963i \(0.960440\pi\)
\(312\) −9.60707 15.9921i −0.543893 0.905372i
\(313\) −29.5010 17.0324i −1.66750 0.962730i −0.968981 0.247137i \(-0.920510\pi\)
−0.698517 0.715593i \(-0.746156\pi\)
\(314\) 0.181892 + 0.678830i 0.0102648 + 0.0383086i
\(315\) 0.330370 7.62227i 0.0186142 0.429466i
\(316\) −2.92226 + 1.68717i −0.164390 + 0.0949106i
\(317\) 9.41539 2.52285i 0.528821 0.141697i 0.0154772 0.999880i \(-0.495073\pi\)
0.513344 + 0.858183i \(0.328407\pi\)
\(318\) 1.13276 + 4.22752i 0.0635220 + 0.237067i
\(319\) 2.72070 + 10.1538i 0.152330 + 0.568503i
\(320\) 18.8774 5.05818i 1.05528 0.282761i
\(321\) −4.09974 + 2.36698i −0.228825 + 0.132112i
\(322\) −0.644371 + 14.8669i −0.0359094 + 0.828500i
\(323\) 13.5222 + 50.4655i 0.752394 + 2.80797i
\(324\) −3.54699 2.04786i −0.197055 0.113770i
\(325\) 11.4912 3.29395i 0.637417 0.182715i
\(326\) 16.9223 + 29.3103i 0.937241 + 1.62335i
\(327\) −17.0265 4.56224i −0.941569 0.252293i
\(328\) −41.3184 23.8552i −2.28143 1.31718i
\(329\) 2.28114 + 0.0988707i 0.125763 + 0.00545092i
\(330\) 7.05403 + 7.05403i 0.388312 + 0.388312i
\(331\) 14.6501 + 14.6501i 0.805241 + 0.805241i 0.983909 0.178669i \(-0.0571790\pi\)
−0.178669 + 0.983909i \(0.557179\pi\)
\(332\) 12.0502 3.22883i 0.661339 0.177205i
\(333\) 2.20910 + 0.591926i 0.121058 + 0.0324374i
\(334\) 21.6200i 1.18299i
\(335\) −8.03080 + 13.9098i −0.438769 + 0.759971i
\(336\) 11.8384 2.62844i 0.645835 0.143393i
\(337\) 26.8744i 1.46394i −0.681336 0.731971i \(-0.738601\pi\)
0.681336 0.731971i \(-0.261399\pi\)
\(338\) −21.8938 + 23.4699i −1.19087 + 1.27659i
\(339\) 11.8895 6.86440i 0.645748 0.372823i
\(340\) 63.1083 + 63.1083i 3.42253 + 3.42253i
\(341\) −6.52943 + 3.76977i −0.353588 + 0.204144i
\(342\) 8.53499 + 14.7830i 0.461520 + 0.799376i
\(343\) −11.2884 14.6824i −0.609517 0.792773i
\(344\) 4.71286 17.5886i 0.254101 0.948316i
\(345\) −4.64509 + 4.64509i −0.250083 + 0.250083i
\(346\) 6.92851 25.8576i 0.372479 1.39011i
\(347\) 3.08435 5.34226i 0.165577 0.286787i −0.771283 0.636492i \(-0.780385\pi\)
0.936860 + 0.349705i \(0.113718\pi\)
\(348\) 15.3634 + 26.6101i 0.823562 + 1.42645i
\(349\) 20.8536 5.58771i 1.11627 0.299103i 0.346896 0.937904i \(-0.387236\pi\)
0.769372 + 0.638801i \(0.220569\pi\)
\(350\) −0.937801 + 21.6369i −0.0501276 + 1.15654i
\(351\) −0.872572 + 3.49837i −0.0465744 + 0.186729i
\(352\) −0.678077 + 1.17446i −0.0361416 + 0.0625992i
\(353\) 9.36561 9.36561i 0.498481 0.498481i −0.412484 0.910965i \(-0.635339\pi\)
0.910965 + 0.412484i \(0.135339\pi\)
\(354\) −13.2901 −0.706361
\(355\) 19.5339 1.03675
\(356\) 7.45348 7.45348i 0.395034 0.395034i
\(357\) −13.5118 14.7361i −0.715119 0.779918i
\(358\) 19.4911 + 5.22264i 1.03014 + 0.276025i
\(359\) −1.27796 4.76941i −0.0674482 0.251720i 0.923967 0.382473i \(-0.124927\pi\)
−0.991415 + 0.130753i \(0.958261\pi\)
\(360\) 12.9216 + 7.46031i 0.681030 + 0.393193i
\(361\) 28.8016i 1.51587i
\(362\) 2.62246 9.78717i 0.137834 0.514402i
\(363\) −9.03666 −0.474302
\(364\) −18.6507 34.3316i −0.977565 1.79947i
\(365\) −24.1818 −1.26573
\(366\) −2.67600 + 9.98695i −0.139877 + 0.522026i
\(367\) 20.4939i 1.06978i −0.844923 0.534888i \(-0.820354\pi\)
0.844923 0.534888i \(-0.179646\pi\)
\(368\) −9.04250 5.22069i −0.471373 0.272147i
\(369\) 2.38652 + 8.90661i 0.124237 + 0.463660i
\(370\) −15.7279 4.21427i −0.817653 0.219090i
\(371\) 1.01657 + 4.57856i 0.0527776 + 0.237707i
\(372\) −15.5834 + 15.5834i −0.807960 + 0.807960i
\(373\) 23.2429 1.20347 0.601735 0.798696i \(-0.294476\pi\)
0.601735 + 0.798696i \(0.294476\pi\)
\(374\) 26.1420 1.35177
\(375\) 3.43490 3.43490i 0.177378 0.177378i
\(376\) −2.23267 + 3.86710i −0.115141 + 0.199430i
\(377\) 18.7918 19.4561i 0.967829 1.00204i
\(378\) −5.51034 3.50801i −0.283421 0.180433i
\(379\) −20.6487 + 5.53282i −1.06066 + 0.284202i −0.746648 0.665219i \(-0.768338\pi\)
−0.314007 + 0.949421i \(0.601671\pi\)
\(380\) −40.8285 70.7170i −2.09446 3.62770i
\(381\) 5.40554 9.36268i 0.276934 0.479665i
\(382\) 2.82365 10.5380i 0.144471 0.539171i
\(383\) −7.50873 + 7.50873i −0.383678 + 0.383678i −0.872425 0.488747i \(-0.837454\pi\)
0.488747 + 0.872425i \(0.337454\pi\)
\(384\) 4.83176 18.0324i 0.246570 0.920211i
\(385\) 7.22476 + 7.87941i 0.368208 + 0.401572i
\(386\) −13.9294 24.1264i −0.708986 1.22800i
\(387\) −3.04772 + 1.75960i −0.154924 + 0.0894456i
\(388\) 26.3649 + 26.3649i 1.33847 + 1.33847i
\(389\) −14.3360 + 8.27689i −0.726864 + 0.419655i −0.817274 0.576250i \(-0.804516\pi\)
0.0904098 + 0.995905i \(0.471182\pi\)
\(390\) 6.21235 24.9070i 0.314575 1.26121i
\(391\) 17.2146i 0.870578i
\(392\) 35.6652 6.31210i 1.80137 0.318809i
\(393\) −9.09505 + 15.7531i −0.458785 + 0.794638i
\(394\) 11.9173i 0.600387i
\(395\) −2.29480 0.614890i −0.115464 0.0309385i
\(396\) 5.54333 1.48533i 0.278563 0.0746407i
\(397\) −20.9177 20.9177i −1.04983 1.04983i −0.998692 0.0511377i \(-0.983715\pi\)
−0.0511377 0.998692i \(-0.516285\pi\)
\(398\) −20.0957 20.0957i −1.00731 1.00731i
\(399\) 8.45163 + 16.2228i 0.423111 + 0.812158i
\(400\) −13.1602 7.59805i −0.658011 0.379903i
\(401\) −9.79088 2.62346i −0.488933 0.131009i 0.00592592 0.999982i \(-0.498114\pi\)
−0.494859 + 0.868973i \(0.664780\pi\)
\(402\) 6.87588 + 11.9094i 0.342938 + 0.593986i
\(403\) 16.9674 + 9.40718i 0.845209 + 0.468605i
\(404\) −63.6785 36.7648i −3.16813 1.82912i
\(405\) −0.746344 2.78539i −0.0370861 0.138407i
\(406\) 22.6422 + 43.4615i 1.12371 + 2.15696i
\(407\) −2.77523 + 1.60228i −0.137563 + 0.0794222i
\(408\) 37.7674 10.1197i 1.86977 0.501002i
\(409\) 0.754787 + 2.81690i 0.0373218 + 0.139287i 0.982073 0.188502i \(-0.0603632\pi\)
−0.944751 + 0.327789i \(0.893697\pi\)
\(410\) −16.9910 63.4114i −0.839128 3.13167i
\(411\) 9.40750 2.52073i 0.464038 0.124338i
\(412\) 21.7236 12.5421i 1.07025 0.617907i
\(413\) −14.2285 0.616700i −0.700136 0.0303458i
\(414\) 1.45571 + 5.43279i 0.0715443 + 0.267007i
\(415\) 7.60664 + 4.39170i 0.373395 + 0.215580i
\(416\) 3.48913 0.0605938i 0.171069 0.00297086i
\(417\) 7.86079 + 13.6153i 0.384945 + 0.666744i
\(418\) −23.1033 6.19052i −1.13002 0.302788i
\(419\) −8.98142 5.18542i −0.438771 0.253325i 0.264305 0.964439i \(-0.414857\pi\)
−0.703076 + 0.711115i \(0.748191\pi\)
\(420\) 26.3596 + 16.7811i 1.28621 + 0.818835i
\(421\) 26.7368 + 26.7368i 1.30307 + 1.30307i 0.926310 + 0.376762i \(0.122962\pi\)
0.376762 + 0.926310i \(0.377038\pi\)
\(422\) −6.87008 6.87008i −0.334430 0.334430i
\(423\) 0.833593 0.223361i 0.0405307 0.0108602i
\(424\) −8.85966 2.37394i −0.430263 0.115289i
\(425\) 25.0536i 1.21528i
\(426\) 8.36236 14.4840i 0.405158 0.701754i
\(427\) −3.32836 + 10.5679i −0.161071 + 0.511417i
\(428\) 19.3890i 0.937201i
\(429\) −2.60162 4.33070i −0.125608 0.209088i
\(430\) 21.6985 12.5276i 1.04640 0.604137i
\(431\) −17.2979 17.2979i −0.833209 0.833209i 0.154746 0.987954i \(-0.450544\pi\)
−0.987954 + 0.154746i \(0.950544\pi\)
\(432\) 3.96937 2.29172i 0.190977 0.110260i
\(433\) −8.76052 15.1737i −0.421004 0.729200i 0.575034 0.818129i \(-0.304989\pi\)
−0.996038 + 0.0889293i \(0.971655\pi\)
\(434\) −25.9067 + 23.7543i −1.24356 + 1.14024i
\(435\) −5.59919 + 20.8965i −0.268461 + 1.00191i
\(436\) 51.0501 51.0501i 2.44486 2.44486i
\(437\) 4.07647 15.2136i 0.195004 0.727764i
\(438\) −10.3521 + 17.9303i −0.494642 + 0.856745i
\(439\) 9.94646 + 17.2278i 0.474719 + 0.822237i 0.999581 0.0289504i \(-0.00921649\pi\)
−0.524862 + 0.851187i \(0.675883\pi\)
\(440\) −20.1943 + 5.41104i −0.962724 + 0.257961i
\(441\) −5.73661 4.01139i −0.273172 0.191019i
\(442\) −34.6409 57.6636i −1.64770 2.74278i
\(443\) 7.68921 13.3181i 0.365325 0.632762i −0.623503 0.781821i \(-0.714291\pi\)
0.988828 + 0.149059i \(0.0476245\pi\)
\(444\) −6.62347 + 6.62347i −0.314336 + 0.314336i
\(445\) 7.42142 0.351809
\(446\) 22.7796 1.07864
\(447\) 9.10487 9.10487i 0.430645 0.430645i
\(448\) 5.38652 17.1028i 0.254489 0.808032i
\(449\) −3.38883 0.908034i −0.159929 0.0428528i 0.177966 0.984037i \(-0.443048\pi\)
−0.337895 + 0.941184i \(0.609715\pi\)
\(450\) 2.11860 + 7.90673i 0.0998719 + 0.372727i
\(451\) −11.1892 6.46006i −0.526877 0.304192i
\(452\) 56.2292i 2.64480i
\(453\) 0.904012 3.37382i 0.0424742 0.158516i
\(454\) 14.5156 0.681252
\(455\) 7.80673 26.3773i 0.365985 1.23659i
\(456\) −35.7738 −1.67526
\(457\) −7.89373 + 29.4598i −0.369253 + 1.37807i 0.492310 + 0.870420i \(0.336153\pi\)
−0.861563 + 0.507651i \(0.830514\pi\)
\(458\) 5.38736i 0.251735i
\(459\) −6.54425 3.77833i −0.305460 0.176357i
\(460\) −6.96362 25.9886i −0.324680 1.21172i
\(461\) 19.6958 + 5.27746i 0.917323 + 0.245796i 0.686441 0.727186i \(-0.259172\pi\)
0.230882 + 0.972982i \(0.425839\pi\)
\(462\) 8.93531 1.98389i 0.415708 0.0922989i
\(463\) 7.72370 7.72370i 0.358951 0.358951i −0.504475 0.863426i \(-0.668314\pi\)
0.863426 + 0.504475i \(0.168314\pi\)
\(464\) −34.3857 −1.59632
\(465\) −15.5163 −0.719553
\(466\) −21.3466 + 21.3466i −0.988863 + 0.988863i
\(467\) −17.0696 + 29.5655i −0.789888 + 1.36813i 0.136147 + 0.990689i \(0.456528\pi\)
−0.926035 + 0.377438i \(0.876805\pi\)
\(468\) −10.6218 10.2592i −0.490993 0.474230i
\(469\) 6.80872 + 13.0693i 0.314398 + 0.603484i
\(470\) −5.93484 + 1.59023i −0.273754 + 0.0733521i
\(471\) 0.142323 + 0.246511i 0.00655789 + 0.0113586i
\(472\) 13.9261 24.1208i 0.641002 1.11025i
\(473\) 1.27626 4.76306i 0.0586824 0.219006i
\(474\) −1.43832 + 1.43832i −0.0660643 + 0.0660643i
\(475\) 5.93278 22.1414i 0.272215 1.01592i
\(476\) 79.9390 17.7487i 3.66400 0.813510i
\(477\) 0.886338 + 1.53518i 0.0405826 + 0.0702911i
\(478\) −24.1187 + 13.9249i −1.10316 + 0.636912i
\(479\) −12.2833 12.2833i −0.561240 0.561240i 0.368420 0.929659i \(-0.379899\pi\)
−0.929659 + 0.368420i \(0.879899\pi\)
\(480\) −2.41705 + 1.39548i −0.110323 + 0.0636947i
\(481\) 7.21176 + 3.99838i 0.328828 + 0.182310i
\(482\) 31.7390i 1.44567i
\(483\) 1.30639 + 5.88392i 0.0594430 + 0.267727i
\(484\) 18.5058 32.0530i 0.841172 1.45695i
\(485\) 26.2515i 1.19202i
\(486\) −2.38482 0.639011i −0.108178 0.0289861i
\(487\) −12.3178 + 3.30054i −0.558171 + 0.149562i −0.526866 0.849948i \(-0.676633\pi\)
−0.0313053 + 0.999510i \(0.509966\pi\)
\(488\) −15.3217 15.3217i −0.693579 0.693579i
\(489\) 9.69311 + 9.69311i 0.438337 + 0.438337i
\(490\) 40.8423 + 28.5595i 1.84507 + 1.29018i
\(491\) −16.0173 9.24760i −0.722851 0.417339i 0.0929498 0.995671i \(-0.470370\pi\)
−0.815801 + 0.578332i \(0.803704\pi\)
\(492\) −36.4789 9.77450i −1.64460 0.440669i
\(493\) 28.3456 + 49.0961i 1.27662 + 2.21118i
\(494\) 16.9593 + 59.1640i 0.763037 + 2.66191i
\(495\) 3.49922 + 2.02027i 0.157278 + 0.0908046i
\(496\) −6.38314 23.8222i −0.286612 1.06965i
\(497\) 9.62489 15.1186i 0.431735 0.678164i
\(498\) 6.51273 3.76012i 0.291842 0.168495i
\(499\) −36.0336 + 9.65516i −1.61308 + 0.432224i −0.948960 0.315398i \(-0.897862\pi\)
−0.664124 + 0.747622i \(0.731195\pi\)
\(500\) 5.14938 + 19.2178i 0.230287 + 0.859444i
\(501\) 2.26642 + 8.45838i 0.101256 + 0.377893i
\(502\) 62.5226 16.7529i 2.79052 0.747718i
\(503\) −12.6061 + 7.27816i −0.562080 + 0.324517i −0.753980 0.656897i \(-0.771868\pi\)
0.191900 + 0.981415i \(0.438535\pi\)
\(504\) 12.1409 6.32504i 0.540798 0.281740i
\(505\) −13.3990 50.0057i −0.596247 2.22522i
\(506\) −6.82507 3.94046i −0.303411 0.175175i
\(507\) −6.10516 + 11.4772i −0.271140 + 0.509722i
\(508\) 22.1396 + 38.3468i 0.982284 + 1.70137i
\(509\) 0.521178 + 0.139649i 0.0231008 + 0.00618984i 0.270351 0.962762i \(-0.412860\pi\)
−0.247250 + 0.968952i \(0.579527\pi\)
\(510\) 46.5924 + 26.9001i 2.06315 + 1.19116i
\(511\) −11.9150 + 18.7160i −0.527089 + 0.827945i
\(512\) 30.4022 + 30.4022i 1.34360 + 1.34360i
\(513\) 4.88884 + 4.88884i 0.215848 + 0.215848i
\(514\) −15.3431 + 4.11117i −0.676755 + 0.181336i
\(515\) 17.0592 + 4.57100i 0.751718 + 0.201422i
\(516\) 14.4137i 0.634526i
\(517\) −0.604614 + 1.04722i −0.0265909 + 0.0460567i
\(518\) −11.0113 + 10.0964i −0.483807 + 0.443610i
\(519\) 10.8426i 0.475935i
\(520\) 38.6950 + 37.3740i 1.69689 + 1.63896i
\(521\) −30.2442 + 17.4615i −1.32502 + 0.765003i −0.984525 0.175242i \(-0.943929\pi\)
−0.340499 + 0.940245i \(0.610596\pi\)
\(522\) 13.0974 + 13.0974i 0.573256 + 0.573256i
\(523\) −18.2352 + 10.5281i −0.797371 + 0.460362i −0.842551 0.538616i \(-0.818947\pi\)
0.0451800 + 0.998979i \(0.485614\pi\)
\(524\) −37.2507 64.5201i −1.62730 2.81857i
\(525\) 1.90129 + 8.56330i 0.0829791 + 0.373733i
\(526\) −9.59297 + 35.8014i −0.418273 + 1.56102i
\(527\) −28.7516 + 28.7516i −1.25244 + 1.25244i
\(528\) −1.66221 + 6.20344i −0.0723383 + 0.269970i
\(529\) −8.90520 + 15.4243i −0.387183 + 0.670620i
\(530\) −6.31036 10.9299i −0.274104 0.474763i
\(531\) −5.19948 + 1.39320i −0.225638 + 0.0604596i
\(532\) −74.8500 3.24420i −3.24516 0.140654i
\(533\) 0.577279 + 33.2411i 0.0250047 + 1.43983i
\(534\) 3.17707 5.50285i 0.137485 0.238131i
\(535\) 9.65279 9.65279i 0.417326 0.417326i
\(536\) −28.8198 −1.24482
\(537\) 8.17300 0.352691
\(538\) 38.7029 38.7029i 1.66860 1.66860i
\(539\) 9.65825 1.70934i 0.416010 0.0736264i
\(540\) 11.4082 + 3.05681i 0.490929 + 0.131544i
\(541\) 8.30427 + 30.9919i 0.357028 + 1.33245i 0.877913 + 0.478821i \(0.158936\pi\)
−0.520884 + 0.853627i \(0.674398\pi\)
\(542\) 45.0603 + 26.0156i 1.93550 + 1.11746i
\(543\) 4.10394i 0.176117i
\(544\) −1.89294 + 7.06456i −0.0811592 + 0.302890i
\(545\) 50.8305 2.17734
\(546\) −16.2162 17.0805i −0.693991 0.730978i
\(547\) 12.5039 0.534630 0.267315 0.963609i \(-0.413864\pi\)
0.267315 + 0.963609i \(0.413864\pi\)
\(548\) −10.3242 + 38.5304i −0.441027 + 1.64594i
\(549\) 4.18771i 0.178727i
\(550\) −9.93303 5.73484i −0.423546 0.244534i
\(551\) −13.4247 50.1016i −0.571911 2.13440i
\(552\) −11.3856 3.05075i −0.484602 0.129849i
\(553\) −1.60662 + 1.47313i −0.0683203 + 0.0626439i
\(554\) −17.2279 + 17.2279i −0.731944 + 0.731944i
\(555\) −6.59499 −0.279942
\(556\) −64.3911 −2.73079
\(557\) 22.2599 22.2599i 0.943183 0.943183i −0.0552879 0.998470i \(-0.517608\pi\)
0.998470 + 0.0552879i \(0.0176077\pi\)
\(558\) −6.64246 + 11.5051i −0.281198 + 0.487049i
\(559\) −12.1974 + 3.49639i −0.515897 + 0.147882i
\(560\) −31.0127 + 16.1567i −1.31053 + 0.682746i
\(561\) 10.2275 2.74046i 0.431807 0.115702i
\(562\) 37.3487 + 64.6898i 1.57546 + 2.72877i
\(563\) 1.85725 3.21684i 0.0782736 0.135574i −0.824232 0.566253i \(-0.808393\pi\)
0.902505 + 0.430679i \(0.141726\pi\)
\(564\) −0.914821 + 3.41416i −0.0385209 + 0.143762i
\(565\) −27.9937 + 27.9937i −1.17770 + 1.17770i
\(566\) −13.7311 + 51.2452i −0.577161 + 2.15399i
\(567\) −2.52355 0.794791i −0.105979 0.0333781i
\(568\) 17.5251 + 30.3544i 0.735337 + 1.27364i
\(569\) 24.9147 14.3845i 1.04448 0.603030i 0.123381 0.992359i \(-0.460626\pi\)
0.921099 + 0.389329i \(0.127293\pi\)
\(570\) −34.8065 34.8065i −1.45789 1.45789i
\(571\) −38.1385 + 22.0193i −1.59605 + 0.921478i −0.603808 + 0.797130i \(0.706351\pi\)
−0.992239 + 0.124348i \(0.960316\pi\)
\(572\) 20.6887 0.359289i 0.865038 0.0150226i
\(573\) 4.41878i 0.184597i
\(574\) −57.4504 18.0940i −2.39793 0.755228i
\(575\) 3.77640 6.54091i 0.157487 0.272775i
\(576\) 6.77728i 0.282387i
\(577\) 20.0715 + 5.37814i 0.835587 + 0.223895i 0.651149 0.758950i \(-0.274287\pi\)
0.184437 + 0.982844i \(0.440954\pi\)
\(578\) 95.6385 25.6263i 3.97804 1.06591i
\(579\) −7.97873 7.97873i −0.331585 0.331585i
\(580\) −62.6533 62.6533i −2.60154 2.60154i
\(581\) 7.14704 3.72340i 0.296509 0.154473i
\(582\) 19.4650 + 11.2381i 0.806849 + 0.465835i
\(583\) −2.39922 0.642870i −0.0993657 0.0266250i
\(584\) −21.6950 37.5769i −0.897746 1.55494i
\(585\) −0.180534 10.3956i −0.00746417 0.429804i
\(586\) 2.14711 + 1.23963i 0.0886962 + 0.0512088i
\(587\) 11.1326 + 41.5473i 0.459491 + 1.71484i 0.674540 + 0.738239i \(0.264342\pi\)
−0.215049 + 0.976603i \(0.568991\pi\)
\(588\) 25.9761 12.1330i 1.07124 0.500355i
\(589\) 32.2180 18.6011i 1.32752 0.766444i
\(590\) 37.0182 9.91899i 1.52401 0.408358i
\(591\) 1.24929 + 4.66242i 0.0513890 + 0.191786i
\(592\) −2.71306 10.1253i −0.111506 0.416146i
\(593\) −1.71884 + 0.460561i −0.0705842 + 0.0189130i −0.293938 0.955824i \(-0.594966\pi\)
0.223354 + 0.974737i \(0.428299\pi\)
\(594\) 2.99599 1.72974i 0.122927 0.0709719i
\(595\) 48.6338 + 30.9614i 1.99379 + 1.26929i
\(596\) 13.6494 + 50.9403i 0.559102 + 2.08660i
\(597\) −9.96867 5.75542i −0.407991 0.235553i
\(598\) 0.352124 + 20.2761i 0.0143994 + 0.829153i
\(599\) 8.48260 + 14.6923i 0.346590 + 0.600311i 0.985641 0.168853i \(-0.0540063\pi\)
−0.639052 + 0.769164i \(0.720673\pi\)
\(600\) −16.5702 4.43998i −0.676477 0.181262i
\(601\) −30.5871 17.6595i −1.24767 0.720345i −0.277029 0.960862i \(-0.589350\pi\)
−0.970645 + 0.240517i \(0.922683\pi\)
\(602\) 0.995438 22.9667i 0.0405710 0.936052i
\(603\) 3.93850 + 3.93850i 0.160388 + 0.160388i
\(604\) 10.1156 + 10.1156i 0.411599 + 0.411599i
\(605\) 25.1706 6.74445i 1.02333 0.274201i
\(606\) −42.8143 11.4721i −1.73921 0.466021i
\(607\) 20.2834i 0.823279i −0.911347 0.411639i \(-0.864956\pi\)
0.911347 0.411639i \(-0.135044\pi\)
\(608\) 3.34582 5.79513i 0.135691 0.235024i
\(609\) 13.4143 + 14.6299i 0.543577 + 0.592832i
\(610\) 29.8148i 1.20717i
\(611\) 3.11112 0.0540290i 0.125862 0.00218578i
\(612\) 26.8034 15.4749i 1.08346 0.625537i
\(613\) −17.5571 17.5571i −0.709123 0.709123i 0.257228 0.966351i \(-0.417191\pi\)
−0.966351 + 0.257228i \(0.917191\pi\)
\(614\) −14.7004 + 8.48727i −0.593259 + 0.342518i
\(615\) −13.2948 23.0273i −0.536098 0.928548i
\(616\) −5.76228 + 18.2959i −0.232169 + 0.737163i
\(617\) 7.80877 29.1427i 0.314369 1.17324i −0.610206 0.792243i \(-0.708913\pi\)
0.924575 0.380999i \(-0.124420\pi\)
\(618\) 10.6923 10.6923i 0.430106 0.430106i
\(619\) −10.4480 + 38.9926i −0.419942 + 1.56724i 0.354785 + 0.934948i \(0.384554\pi\)
−0.774727 + 0.632296i \(0.782113\pi\)
\(620\) 31.7753 55.0364i 1.27612 2.21031i
\(621\) 1.13903 + 1.97286i 0.0457078 + 0.0791683i
\(622\) 32.7024 8.76259i 1.31125 0.351348i
\(623\) 3.65674 5.74395i 0.146504 0.230127i
\(624\) 15.8860 4.55373i 0.635951 0.182295i
\(625\) −15.2925 + 26.4874i −0.611701 + 1.05950i
\(626\) 59.4708 59.4708i 2.37693 2.37693i
\(627\) −9.68766 −0.386888
\(628\) −1.16583 −0.0465216
\(629\) −12.2204 + 12.2204i −0.487260 + 0.487260i
\(630\) 17.9666 + 5.65859i 0.715808 + 0.225443i
\(631\) 11.8790 + 3.18298i 0.472897 + 0.126712i 0.487393 0.873183i \(-0.337948\pi\)
−0.0144963 + 0.999895i \(0.504614\pi\)
\(632\) −1.10331 4.11762i −0.0438875 0.163790i
\(633\) −3.40797 1.96759i −0.135454 0.0782047i
\(634\) 24.0662i 0.955789i
\(635\) −8.06879 + 30.1131i −0.320200 + 1.19500i
\(636\) −7.26037 −0.287892
\(637\) −16.5686 19.0390i −0.656472 0.754351i
\(638\) −25.9535 −1.02751
\(639\) 1.75325 6.54321i 0.0693574 0.258845i
\(640\) 53.8334i 2.12795i
\(641\) −9.51493 5.49345i −0.375817 0.216978i 0.300180 0.953883i \(-0.402953\pi\)
−0.675997 + 0.736905i \(0.736287\pi\)
\(642\) −3.02506 11.2897i −0.119389 0.445568i
\(643\) 5.20127 + 1.39368i 0.205118 + 0.0549612i 0.359915 0.932985i \(-0.382806\pi\)
−0.154797 + 0.987946i \(0.549472\pi\)
\(644\) −23.5455 7.41565i −0.927823 0.292217i
\(645\) 7.17583 7.17583i 0.282548 0.282548i
\(646\) −128.992 −5.07512
\(647\) −38.3238 −1.50667 −0.753333 0.657639i \(-0.771555\pi\)
−0.753333 + 0.657639i \(0.771555\pi\)
\(648\) 3.65872 3.65872i 0.143728 0.143728i
\(649\) 3.77124 6.53198i 0.148034 0.256402i
\(650\) 0.512472 + 29.5093i 0.0201008 + 1.15745i
\(651\) −7.64532 + 12.0092i −0.299644 + 0.470677i
\(652\) −54.2315 + 14.5313i −2.12387 + 0.569089i
\(653\) −3.87397 6.70991i −0.151600 0.262579i 0.780216 0.625511i \(-0.215109\pi\)
−0.931816 + 0.362931i \(0.881776\pi\)
\(654\) 21.7603 37.6899i 0.850894 1.47379i
\(655\) 13.5761 50.6666i 0.530461 1.97971i
\(656\) 29.8844 29.8844i 1.16679 1.16679i
\(657\) −2.17041 + 8.10009i −0.0846758 + 0.316014i
\(658\) −1.69346 + 5.37693i −0.0660180 + 0.209615i
\(659\) 1.59593 + 2.76423i 0.0621686 + 0.107679i 0.895435 0.445193i \(-0.146865\pi\)
−0.833266 + 0.552872i \(0.813532\pi\)
\(660\) −14.3318 + 8.27446i −0.557864 + 0.322083i
\(661\) −3.03520 3.03520i −0.118055 0.118055i 0.645611 0.763666i \(-0.276603\pi\)
−0.763666 + 0.645611i \(0.776603\pi\)
\(662\) −44.2994 + 25.5763i −1.72174 + 0.994049i
\(663\) −19.5974 18.9283i −0.761099 0.735115i
\(664\) 15.7603i 0.611617i
\(665\) −35.6489 38.8792i −1.38241 1.50767i
\(666\) −2.82328 + 4.89006i −0.109400 + 0.189486i
\(667\) 17.0904i 0.661744i
\(668\) −34.6431 9.28259i −1.34038 0.359154i
\(669\) 8.91203 2.38797i 0.344559 0.0923243i
\(670\) −28.0405 28.0405i −1.08330 1.08330i
\(671\) −4.14915 4.14915i −0.160176 0.160176i
\(672\) −0.110884 + 2.55831i −0.00427744 + 0.0986889i
\(673\) 11.6256 + 6.71205i 0.448134 + 0.258731i 0.707042 0.707172i \(-0.250029\pi\)
−0.258908 + 0.965902i \(0.583362\pi\)
\(674\) 64.0907 + 17.1730i 2.46868 + 0.661481i
\(675\) 1.65772 + 2.87125i 0.0638057 + 0.110515i
\(676\) −28.2072 45.1587i −1.08489 1.73687i
\(677\) −19.3278 11.1589i −0.742830 0.428873i 0.0802677 0.996773i \(-0.474422\pi\)
−0.823097 + 0.567901i \(0.807756\pi\)
\(678\) 8.77286 + 32.7408i 0.336920 + 1.25740i
\(679\) 20.3178 + 12.9348i 0.779726 + 0.496392i
\(680\) −97.6443 + 56.3749i −3.74449 + 2.16188i
\(681\) 5.67894 1.52167i 0.217617 0.0583104i
\(682\) −4.81785 17.9805i −0.184485 0.688507i
\(683\) −1.88738 7.04378i −0.0722184 0.269523i 0.920370 0.391049i \(-0.127888\pi\)
−0.992588 + 0.121526i \(0.961221\pi\)
\(684\) −27.3523 + 7.32903i −1.04584 + 0.280233i
\(685\) −24.3222 + 14.0424i −0.929305 + 0.536534i
\(686\) 42.2282 17.5387i 1.61228 0.669630i
\(687\) 0.564755 + 2.10769i 0.0215467 + 0.0804136i
\(688\) 13.9690 + 8.06503i 0.532565 + 0.307476i
\(689\) 1.76118 + 6.14403i 0.0670958 + 0.234069i
\(690\) −8.10945 14.0460i −0.308721 0.534721i
\(691\) 10.9128 + 2.92407i 0.415142 + 0.111237i 0.460343 0.887741i \(-0.347726\pi\)
−0.0452016 + 0.998978i \(0.514393\pi\)
\(692\) 38.4584 + 22.2040i 1.46197 + 0.844069i
\(693\) 3.28779 1.71284i 0.124893 0.0650655i
\(694\) 10.7694 + 10.7694i 0.408801 + 0.408801i
\(695\) −32.0571 32.0571i −1.21599 1.21599i
\(696\) −37.4951 + 10.0468i −1.42125 + 0.380822i
\(697\) −67.3042 18.0341i −2.54933 0.683090i
\(698\) 53.3028i 2.01754i
\(699\) −6.11367 + 10.5892i −0.231240 + 0.400520i
\(700\) −34.2675 10.7925i −1.29519 0.407920i
\(701\) 0.777837i 0.0293785i 0.999892 + 0.0146892i \(0.00467590\pi\)
−0.999892 + 0.0146892i \(0.995324\pi\)
\(702\) −7.78542 4.31643i −0.293842 0.162913i
\(703\) 13.6938 7.90610i 0.516470 0.298184i
\(704\) 6.71488 + 6.71488i 0.253077 + 0.253077i
\(705\) −2.15518 + 1.24429i −0.0811688 + 0.0468628i
\(706\) 16.3506 + 28.3200i 0.615362 + 1.06584i
\(707\) −45.3049 14.2688i −1.70387 0.536632i
\(708\) 5.70613 21.2956i 0.214450 0.800337i
\(709\) 1.56235 1.56235i 0.0586752 0.0586752i −0.677160 0.735836i \(-0.736790\pi\)
0.735836 + 0.677160i \(0.236790\pi\)
\(710\) −12.4824 + 46.5849i −0.468456 + 1.74830i
\(711\) −0.411935 + 0.713493i −0.0154488 + 0.0267581i
\(712\) 6.65823 + 11.5324i 0.249528 + 0.432194i
\(713\) 11.8402 3.17256i 0.443417 0.118813i
\(714\) 43.7772 22.8066i 1.63832 0.853517i
\(715\) 10.4787 + 10.1210i 0.391882 + 0.378504i
\(716\) −16.7371 + 28.9896i −0.625496 + 1.08339i
\(717\) −7.97620 + 7.97620i −0.297877 + 0.297877i
\(718\) 12.1908 0.454958
\(719\) −12.3064 −0.458951 −0.229476 0.973314i \(-0.573701\pi\)
−0.229476 + 0.973314i \(0.573701\pi\)
\(720\) −9.34585 + 9.34585i −0.348299 + 0.348299i
\(721\) 11.9433 10.9510i 0.444793 0.407838i
\(722\) 68.6866 + 18.4045i 2.55625 + 0.684945i
\(723\) −3.32719 12.4172i −0.123740 0.461802i
\(724\) 14.5566 + 8.40428i 0.540993 + 0.312343i
\(725\) 24.8730i 0.923759i
\(726\) 5.77453 21.5508i 0.214313 0.799826i
\(727\) −46.3414 −1.71871 −0.859353 0.511383i \(-0.829133\pi\)
−0.859353 + 0.511383i \(0.829133\pi\)
\(728\) 47.9924 11.5336i 1.77872 0.427463i
\(729\) −1.00000 −0.0370370
\(730\) 15.4524 57.6693i 0.571920 2.13444i
\(731\) 26.5934i 0.983593i
\(732\) −14.8538 8.57584i −0.549012 0.316972i
\(733\) 4.29994 + 16.0476i 0.158822 + 0.592731i 0.998748 + 0.0500300i \(0.0159317\pi\)
−0.839926 + 0.542701i \(0.817402\pi\)
\(734\) 48.8744 + 13.0959i 1.80399 + 0.483377i
\(735\) 18.9726 + 6.89181i 0.699815 + 0.254208i
\(736\) 1.55906 1.55906i 0.0574678 0.0574678i
\(737\) −7.80448 −0.287482
\(738\) −22.7657 −0.838017
\(739\) 2.49614 2.49614i 0.0918219 0.0918219i −0.659704 0.751526i \(-0.729318\pi\)
0.751526 + 0.659704i \(0.229318\pi\)
\(740\) 13.5056 23.3924i 0.496475 0.859920i
\(741\) 12.8371 + 21.3689i 0.471584 + 0.785005i
\(742\) −11.5687 0.501417i −0.424699 0.0184076i
\(743\) 42.9886 11.5188i 1.57710 0.422583i 0.639073 0.769146i \(-0.279318\pi\)
0.938027 + 0.346563i \(0.112651\pi\)
\(744\) −13.9207 24.1114i −0.510357 0.883965i
\(745\) −18.5653 + 32.1560i −0.680179 + 1.17810i
\(746\) −14.8525 + 55.4301i −0.543787 + 2.02944i
\(747\) 2.15380 2.15380i 0.0788033 0.0788033i
\(748\) −11.2241 + 41.8890i −0.410395 + 1.53161i
\(749\) −2.71477 12.2271i −0.0991955 0.446770i
\(750\) 5.99669 + 10.3866i 0.218968 + 0.379264i
\(751\) 45.1124 26.0457i 1.64618 0.950420i 0.667603 0.744518i \(-0.267321\pi\)
0.978573 0.205902i \(-0.0660128\pi\)
\(752\) −2.79696 2.79696i −0.101995 0.101995i
\(753\) 22.7045 13.1084i 0.827397 0.477698i
\(754\) 34.3911 + 57.2479i 1.25245 + 2.08484i
\(755\) 10.0721i 0.366562i
\(756\) 7.98699 7.32339i 0.290484 0.266349i
\(757\) 23.5702 40.8248i 0.856674 1.48380i −0.0184085 0.999831i \(-0.505860\pi\)
0.875083 0.483973i \(-0.160807\pi\)
\(758\) 52.7791i 1.91702i
\(759\) −3.08324 0.826153i −0.111915 0.0299875i
\(760\) 99.6441 26.6995i 3.61447 0.968494i
\(761\) 21.3753 + 21.3753i 0.774854 + 0.774854i 0.978951 0.204096i \(-0.0654256\pi\)
−0.204096 + 0.978951i \(0.565426\pi\)
\(762\) 18.8741 + 18.8741i 0.683737 + 0.683737i
\(763\) 25.0456 39.3412i 0.906711 1.42425i
\(764\) 15.6734 + 9.04903i 0.567043 + 0.327382i
\(765\) 21.0482 + 5.63986i 0.761001 + 0.203910i
\(766\) −13.1088 22.7052i −0.473641 0.820371i
\(767\) −19.4054 + 0.337002i −0.700688 + 0.0121685i
\(768\) 28.1779 + 16.2685i 1.01678 + 0.587039i
\(769\) −1.17278 4.37689i −0.0422916 0.157835i 0.941551 0.336871i \(-0.109369\pi\)
−0.983842 + 0.179037i \(0.942702\pi\)
\(770\) −23.4077 + 12.1947i −0.843555 + 0.439467i
\(771\) −5.57169 + 3.21682i −0.200660 + 0.115851i
\(772\) 44.6398 11.9612i 1.60662 0.430493i
\(773\) 0.578937 + 2.16062i 0.0208229 + 0.0777122i 0.975555 0.219753i \(-0.0705253\pi\)
−0.954733 + 0.297466i \(0.903859\pi\)
\(774\)