Properties

Label 273.2.cg.a.262.1
Level $273$
Weight $2$
Character 273.262
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 262.1
Character \(\chi\) \(=\) 273.262
Dual form 273.2.cg.a.124.1

$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

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

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 −0.697189 0.716887i \(-0.745566\pi\)
0.245340 0.969437i \(-0.421100\pi\)
\(3\) 1.00000i 0.577350i
\(4\) −3.54699 + 2.04786i −1.77350 + 1.02393i
\(5\) −0.746344 + 2.78539i −0.333775 + 1.24567i 0.571416 + 0.820661i \(0.306394\pi\)
−0.905191 + 0.425005i \(0.860272\pi\)
\(6\) −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 0.840518 0.541783i \(-0.182251\pi\)
−0.541783 + 0.840518i \(0.682251\pi\)
\(12\) 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 0.804870 + 0.593451i \(0.202235\pi\)
0.111509 + 0.993763i \(0.464432\pi\)
\(18\) 0.639011 + 2.38482i 0.150616 + 0.562108i
\(19\) −4.88884 4.88884i −1.12158 1.12158i −0.991504 0.130073i \(-0.958479\pi\)
−0.130073 0.991504i \(-0.541521\pi\)
\(20\) −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 0.280008 0.959998i \(-0.409663\pi\)
−0.691378 + 0.722493i \(0.742996\pi\)
\(24\) 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 −0.969652 0.244487i \(-0.921380\pi\)
0.273094 0.961987i \(-0.411953\pi\)
\(30\) 7.11959i 1.29985i
\(31\) −5.19745 + 1.39265i −0.933490 + 0.250128i −0.693342 0.720608i \(-0.743863\pi\)
−0.240148 + 0.970736i \(0.577196\pi\)
\(32\) −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 −0.435791 0.900048i \(-0.643531\pi\)
0.0726176 + 0.997360i \(0.476865\pi\)
\(38\) −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 0.483948 + 0.875097i \(0.339203\pi\)
−0.856659 + 0.515882i \(0.827464\pi\)
\(42\) 5.51034 3.50801i 0.850264 0.541298i
\(43\) 3.04772 + 1.75960i 0.464773 + 0.268337i 0.714049 0.700096i \(-0.246859\pi\)
−0.249276 + 0.968432i \(0.580193\pi\)
\(44\) −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 0.197510 0.980301i \(-0.436715\pi\)
−0.319102 + 0.947720i \(0.603381\pi\)
\(48\) −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 −0.920457 0.390844i \(-0.872183\pi\)
0.798709 + 0.601717i \(0.205517\pi\)
\(54\) 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 0.580868 0.813998i \(-0.302713\pi\)
0.0960471 + 0.995377i \(0.469380\pi\)
\(60\) −11.4082 + 3.05681i −1.47279 + 0.394632i
\(61\) 4.18771i 0.536182i 0.963394 + 0.268091i \(0.0863927\pi\)
−0.963394 + 0.268091i \(0.913607\pi\)
\(62\) 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 −0.905504 0.424339i \(-0.860507\pi\)
0.424339 + 0.905504i \(0.360507\pi\)
\(68\) −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 −0.988491 0.151279i \(-0.951661\pi\)
0.780419 0.625257i \(-0.215006\pi\)
\(72\) −3.65872 3.65872i −0.431184 0.431184i
\(73\) 2.17041 + 8.10009i 0.254027 + 0.948043i 0.968629 + 0.248512i \(0.0799414\pi\)
−0.714601 + 0.699532i \(0.753392\pi\)
\(74\) 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 0.888268 0.459326i \(-0.151909\pi\)
−0.841922 + 0.539600i \(0.818576\pi\)
\(80\) 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 0.578952 0.815362i \(-0.303462\pi\)
−0.815362 + 0.578952i \(0.803462\pi\)
\(84\) −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 0.921595 0.388154i \(-0.126887\pi\)
−0.992201 + 0.124646i \(0.960220\pi\)
\(90\) −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 −0.675934 0.736962i \(-0.736260\pi\)
−0.216896 + 0.976195i \(0.569593\pi\)
\(98\) −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 0.674795 0.738005i \(-0.264232\pi\)
−0.976529 + 0.215387i \(0.930899\pi\)
\(104\) −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 −0.728635 0.684902i \(-0.759845\pi\)
0.957460 + 0.288566i \(0.0931783\pi\)
\(108\) −2.04786 3.54699i −0.197055 0.341309i
\(109\) −4.56224 17.0265i −0.436983 1.63084i −0.736275 0.676683i \(-0.763417\pi\)
0.299291 0.954162i \(-0.403250\pi\)
\(110\) 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 0.338380 + 0.941010i \(0.390121\pi\)
−0.984128 + 0.177459i \(0.943212\pi\)
\(114\) 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 −0.854128 0.520063i \(-0.825908\pi\)
0.0233243 + 0.999728i \(0.492575\pi\)
\(128\) −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 0.384635 0.923069i \(-0.374327\pi\)
0.991719 + 0.128431i \(0.0409939\pi\)
\(132\) −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 0.770679 + 0.637224i \(0.219917\pi\)
−0.986039 + 0.166513i \(0.946749\pi\)
\(138\) 5.43279 + 1.45571i 0.462469 + 0.123918i
\(139\) 13.6153 + 7.86079i 1.15483 + 0.666744i 0.950060 0.312066i \(-0.101021\pi\)
0.204773 + 0.978809i \(0.434354\pi\)
\(140\) 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 −0.973706 0.227807i \(-0.926845\pi\)
0.227807 + 0.973706i \(0.426845\pi\)
\(150\) 7.90673 + 2.11860i 0.645582 + 0.172983i
\(151\) −3.37382 + 0.904012i −0.274557 + 0.0735674i −0.393471 0.919337i \(-0.628726\pi\)
0.118913 + 0.992905i \(0.462059\pi\)
\(152\) 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 0.509805 0.860290i \(-0.329718\pi\)
−0.490131 + 0.871649i \(0.663051\pi\)
\(158\) 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 0.976181 0.216958i \(-0.0696135\pi\)
−0.216958 + 0.976181i \(0.569614\pi\)
\(164\) −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 0.570776 0.821106i \(-0.306642\pi\)
0.0837535 + 0.996487i \(0.473309\pi\)
\(168\) −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 \(0.0988033\pi\)
−0.952212 + 0.305439i \(0.901197\pi\)
\(180\) 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 0.359011 0.933333i \(-0.383114\pi\)
−0.933333 + 0.359011i \(0.883114\pi\)
\(194\) 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 0.421056 0.907035i \(-0.361660\pi\)
−0.0888723 + 0.996043i \(0.528326\pi\)
\(198\) −1.72974 + 2.99599i −0.122927 + 0.212916i
\(199\) −5.75542 9.96867i −0.407991 0.706660i 0.586674 0.809823i \(-0.300437\pi\)
−0.994664 + 0.103163i \(0.967104\pi\)
\(200\) −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 0.790317 0.612699i \(-0.209916\pi\)
−0.925771 + 0.378085i \(0.876583\pi\)
\(212\) 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 0.838724 + 0.544556i \(0.183302\pi\)
−0.998635 + 0.0522375i \(0.983365\pi\)
\(224\) 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 −0.997860 0.0653827i \(-0.979173\pi\)
0.896864 + 0.442307i \(0.145840\pi\)
\(228\) 7.32903 27.3523i 0.485377 1.81145i
\(229\) 2.10769 + 0.564755i 0.139280 + 0.0373201i 0.327786 0.944752i \(-0.393698\pi\)
−0.188505 + 0.982072i \(0.560364\pi\)
\(230\) −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 −0.111284 0.993789i \(-0.535496\pi\)
0.805004 + 0.593269i \(0.202163\pi\)
\(234\) −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 −0.400402 0.916340i \(-0.631130\pi\)
0.916340 + 0.400402i \(0.131130\pi\)
\(240\) 9.34585 9.34585i 0.603272 0.603272i
\(241\) −12.4172 3.32719i −0.799865 0.214323i −0.164340 0.986404i \(-0.552550\pi\)
−0.635525 + 0.772081i \(0.719216\pi\)
\(242\) −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 0.0726757 + 0.997356i \(0.476846\pi\)
−0.900073 + 0.435739i \(0.856487\pi\)
\(252\) −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 −0.748081 0.663607i \(-0.769025\pi\)
0.948741 + 0.316054i \(0.102358\pi\)
\(258\) −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 −0.953816 0.300390i \(-0.902883\pi\)
−0.216763 + 0.976224i \(0.569550\pi\)
\(270\) 7.11959i 0.433284i
\(271\) 5.45440 + 20.3561i 0.331331 + 1.23655i 0.907792 + 0.419420i \(0.137767\pi\)
−0.576461 + 0.817125i \(0.695567\pi\)
\(272\) 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 −0.220781 0.975323i \(-0.570861\pi\)
0.734264 + 0.678864i \(0.237527\pi\)
\(278\) 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 0.942768 + 0.333449i \(0.108212\pi\)
0.333449 + 0.942768i \(0.391788\pi\)
\(282\) 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 0.973102 0.230375i \(-0.0739952\pi\)
−0.957918 + 0.287041i \(0.907329\pi\)
\(294\) −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 −0.554634 0.832095i \(-0.687142\pi\)
0.832095 + 0.554634i \(0.187142\pi\)
\(308\) 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 −0.992287 0.123963i \(-0.960440\pi\)
0.603498 + 0.797364i \(0.293773\pi\)
\(312\) −9.60707 + 15.9921i −0.543893 + 0.905372i
\(313\) −29.5010 + 17.0324i −1.66750 + 0.962730i −0.698517 + 0.715593i \(0.746156\pi\)
−0.968981 + 0.247137i \(0.920510\pi\)
\(314\) 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 0.513344 0.858183i \(-0.328407\pi\)
0.0154772 + 0.999880i \(0.495073\pi\)
\(318\) 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 −0.178669 0.983909i \(-0.557179\pi\)
0.983909 + 0.178669i \(0.0571790\pi\)
\(332\) 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 \(0.261399\pi\)
−0.681336 + 0.731971i \(0.738601\pi\)
\(338\) −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 0.936860 0.349705i \(-0.113718\pi\)
−0.771283 + 0.636492i \(0.780385\pi\)
\(348\) 15.3634 26.6101i 0.823562 1.42645i
\(349\) 20.8536 + 5.58771i 1.11627 + 0.299103i 0.769372 0.638801i \(-0.220569\pi\)
0.346896 + 0.937904i \(0.387236\pi\)
\(350\) −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 0.910965 0.412484i \(-0.135339\pi\)
−0.412484 + 0.910965i \(0.635339\pi\)
\(354\) −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 −0.991415 0.130753i \(-0.958261\pi\)
0.923967 + 0.382473i \(0.124927\pi\)
\(360\) 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 \(0.179646\pi\)
−0.844923 + 0.534888i \(0.820354\pi\)
\(368\) −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 −0.314007 0.949421i \(-0.601671\pi\)
−0.746648 + 0.665219i \(0.768338\pi\)
\(380\) −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 0.488747 0.872425i \(-0.337454\pi\)
−0.872425 + 0.488747i \(0.837454\pi\)
\(384\) 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 0.0904098 0.995905i \(-0.471182\pi\)
−0.817274 + 0.576250i \(0.804516\pi\)
\(390\) 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 −0.0511377 + 0.998692i \(0.516285\pi\)
−0.998692 + 0.0511377i \(0.983715\pi\)
\(398\) −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 −0.494859 0.868973i \(-0.664780\pi\)
0.00592592 + 0.999982i \(0.498114\pi\)
\(402\) 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 −0.944751 0.327789i \(-0.893697\pi\)
0.982073 + 0.188502i \(0.0603632\pi\)
\(410\) −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 −0.703076 0.711115i \(-0.748191\pi\)
0.264305 + 0.964439i \(0.414857\pi\)
\(420\) 26.3596 16.7811i 1.28621 0.818835i
\(421\) 26.7368 26.7368i 1.30307 1.30307i 0.376762 0.926310i \(-0.377038\pi\)
0.926310 0.376762i \(-0.122962\pi\)
\(422\) −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 −0.987954 0.154746i \(-0.950544\pi\)
0.154746 + 0.987954i \(0.450544\pi\)
\(432\) 3.96937 + 2.29172i 0.190977 + 0.110260i
\(433\) −8.76052 + 15.1737i −0.421004 + 0.729200i −0.996038 0.0889293i \(-0.971655\pi\)
0.575034 + 0.818129i \(0.304989\pi\)
\(434\) −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 −0.524862 0.851187i \(-0.675883\pi\)
0.999581 + 0.0289504i \(0.00921649\pi\)
\(440\) −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 0.988828 0.149059i \(-0.0476245\pi\)
−0.623503 + 0.781821i \(0.714291\pi\)
\(444\) −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 −0.337895 0.941184i \(-0.609715\pi\)
0.177966 + 0.984037i \(0.443048\pi\)
\(450\) 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 −0.861563 0.507651i \(-0.830514\pi\)
0.492310 0.870420i \(-0.336153\pi\)
\(458\) 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 0.230882 0.972982i \(-0.425839\pi\)
0.686441 + 0.727186i \(0.259172\pi\)
\(462\) 8.93531 + 1.98389i 0.415708 + 0.0922989i
\(463\) 7.72370 + 7.72370i 0.358951 + 0.358951i 0.863426 0.504475i \(-0.168314\pi\)
−0.504475 + 0.863426i \(0.668314\pi\)
\(464\) −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 −0.926035 0.377438i \(-0.876805\pi\)
0.136147 0.990689i \(-0.456528\pi\)
\(468\) −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 −0.929659 0.368420i \(-0.879899\pi\)
0.368420 + 0.929659i \(0.379899\pi\)
\(480\) −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 −0.0313053 0.999510i \(-0.509966\pi\)
−0.526866 + 0.849948i \(0.676633\pi\)
\(488\) −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 −0.815801 0.578332i \(-0.803704\pi\)
0.0929498 + 0.995671i \(0.470370\pi\)
\(492\) −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 −0.664124 0.747622i \(-0.731195\pi\)
−0.948960 + 0.315398i \(0.897862\pi\)
\(500\) 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 0.191900 0.981415i \(-0.438535\pi\)
−0.753980 + 0.656897i \(0.771868\pi\)
\(504\) 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 −0.247250 0.968952i \(-0.579527\pi\)
0.270351 + 0.962762i \(0.412860\pi\)
\(510\) 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 −0.340499 0.940245i \(-0.610596\pi\)
−0.984525 + 0.175242i \(0.943929\pi\)
\(522\) 13.0974 13.0974i 0.573256 0.573256i
\(523\) −18.2352 10.5281i −0.797371 0.460362i 0.0451800 0.998979i \(-0.485614\pi\)
−0.842551 + 0.538616i \(0.818947\pi\)
\(524\) −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 −0.520884 0.853627i \(-0.674398\pi\)
0.877913 0.478821i \(-0.158936\pi\)
\(542\) 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 0.998470 0.0552879i \(-0.0176077\pi\)
−0.0552879 + 0.998470i \(0.517608\pi\)
\(558\) −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 0.902505 0.430679i \(-0.141726\pi\)
−0.824232 + 0.566253i \(0.808393\pi\)
\(564\) −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 0.921099 0.389329i \(-0.127293\pi\)
0.123381 + 0.992359i \(0.460626\pi\)
\(570\) −34.8065 + 34.8065i −1.45789 + 1.45789i
\(571\) −38.1385 22.0193i −1.59605 0.921478i −0.992239 0.124348i \(-0.960316\pi\)
−0.603808 0.797130i \(-0.706351\pi\)
\(572\) 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 0.184437 0.982844i \(-0.440954\pi\)
0.651149 + 0.758950i \(0.274287\pi\)
\(578\) 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 −0.215049 0.976603i \(-0.568991\pi\)
0.674540 0.738239i \(-0.264342\pi\)
\(588\) 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 0.223354 0.974737i \(-0.428299\pi\)
−0.293938 + 0.955824i \(0.594966\pi\)
\(594\) 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 −0.639052 0.769164i \(-0.720673\pi\)
0.985641 + 0.168853i \(0.0540063\pi\)
\(600\) −16.5702 + 4.43998i −0.676477 + 0.181262i
\(601\) −30.5871 + 17.6595i −1.24767 + 0.720345i −0.970645 0.240517i \(-0.922683\pi\)
−0.277029 + 0.960862i \(0.589350\pi\)
\(602\) 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 \(0.135044\pi\)
−0.911347 + 0.411639i \(0.864956\pi\)
\(608\) 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 −0.966351 0.257228i \(-0.917191\pi\)
0.257228 + 0.966351i \(0.417191\pi\)
\(614\) −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 0.924575 + 0.380999i \(0.124420\pi\)
−0.610206 + 0.792243i \(0.708913\pi\)
\(618\) 10.6923 + 10.6923i 0.430106 + 0.430106i
\(619\) −10.4480 38.9926i −0.419942 1.56724i −0.774727 0.632296i \(-0.782113\pi\)
0.354785 0.934948i \(-0.384554\pi\)
\(620\) 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 −0.0144963 0.999895i \(-0.504614\pi\)
0.487393 + 0.873183i \(0.337948\pi\)
\(632\) −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 −0.675997 0.736905i \(-0.736287\pi\)
0.300180 + 0.953883i \(0.402953\pi\)
\(642\) −3.02506 + 11.2897i −0.119389 + 0.445568i
\(643\) 5.20127 1.39368i 0.205118 0.0549612i −0.154797 0.987946i \(-0.549472\pi\)
0.359915 + 0.932985i \(0.382806\pi\)
\(644\) −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 −0.931816 0.362931i \(-0.881776\pi\)
0.780216 + 0.625511i \(0.215109\pi\)
\(654\) 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 −0.833266 0.552872i \(-0.813532\pi\)
0.895435 + 0.445193i \(0.146865\pi\)
\(660\) −14.3318 8.27446i −0.557864 0.322083i
\(661\) −3.03520 + 3.03520i −0.118055 + 0.118055i −0.763666 0.645611i \(-0.776603\pi\)
0.645611 + 0.763666i \(0.276603\pi\)
\(662\) −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 −0.258908 0.965902i \(-0.583362\pi\)
0.707042 + 0.707172i \(0.250029\pi\)
\(674\) 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 −0.823097 0.567901i \(-0.807756\pi\)
0.0802677 + 0.996773i \(0.474422\pi\)
\(678\) 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 −0.992588 0.121526i \(-0.961221\pi\)
0.920370 + 0.391049i \(0.127888\pi\)
\(684\) −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 −0.0452016 0.998978i \(-0.514393\pi\)
0.460343 + 0.887741i \(0.347726\pi\)
\(692\) 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 \(-0.995324\pi\)
0.999892 0.0146892i \(-0.00467590\pi\)
\(702\) −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 0.735836 0.677160i \(-0.236790\pi\)
−0.677160 + 0.735836i \(0.736790\pi\)
\(710\) −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 −0.839926 0.542701i \(-0.817402\pi\)
0.998748 0.0500300i \(-0.0159317\pi\)
\(734\) 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 0.751526 0.659704i \(-0.229318\pi\)
−0.659704 + 0.751526i \(0.729318\pi\)
\(740\) 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 0.938027 0.346563i \(-0.112651\pi\)
0.639073 + 0.769146i \(0.279318\pi\)
\(744\) −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 0.978573 + 0.205902i \(0.0660128\pi\)
0.667603 + 0.744518i \(0.267321\pi\)
\(752\) −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 0.875083 + 0.483973i \(0.160807\pi\)
−0.0184085 + 0.999831i \(0.505860\pi\)
\(758\) 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 −0.204096 0.978951i \(-0.565426\pi\)
0.978951 + 0.204096i \(0.0654256\pi\)
\(762\) 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 −0.983842 0.179037i \(-0.942702\pi\)
0.941551 + 0.336871i \(0.109369\pi\)
\(770\) −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 −0.954733 0.297466i \(-0.903859\pi\)
0.975555 + 0.219753i \(0.0705253\pi\)
\(774\) −2.24881 + 8.39268i