Properties

Label 273.2.bv.b.2.17
Level $273$
Weight $2$
Character 273.2
Analytic conductor $2.180$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(32\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 2.17
Character \(\chi\) \(=\) 273.2
Dual form 273.2.bv.b.137.17

$q$-expansion

\(f(q)\) \(=\) \(q+(0.340464 + 0.340464i) q^{2} +(-1.34015 - 1.09727i) q^{3} -1.76817i q^{4} +(-3.37589 + 0.904567i) q^{5} +(-0.0826902 - 0.829853i) q^{6} +(-0.304456 + 2.62818i) q^{7} +(1.28292 - 1.28292i) q^{8} +(0.591989 + 2.94101i) q^{9} +O(q^{10})\) \(q+(0.340464 + 0.340464i) q^{2} +(-1.34015 - 1.09727i) q^{3} -1.76817i q^{4} +(-3.37589 + 0.904567i) q^{5} +(-0.0826902 - 0.829853i) q^{6} +(-0.304456 + 2.62818i) q^{7} +(1.28292 - 1.28292i) q^{8} +(0.591989 + 2.94101i) q^{9} +(-1.45734 - 0.841396i) q^{10} +(0.752508 + 2.80840i) q^{11} +(-1.94016 + 2.36961i) q^{12} +(-3.15023 + 1.75388i) q^{13} +(-0.998455 + 0.791142i) q^{14} +(5.51674 + 2.49202i) q^{15} -2.66276 q^{16} +1.23317 q^{17} +(-0.799757 + 1.20286i) q^{18} +(-4.44427 - 1.19084i) q^{19} +(1.59943 + 5.96914i) q^{20} +(3.29184 - 3.18807i) q^{21} +(-0.699956 + 1.21236i) q^{22} -4.05387 q^{23} +(-3.12703 + 0.311591i) q^{24} +(6.24826 - 3.60743i) q^{25} +(-1.66967 - 0.475406i) q^{26} +(2.43374 - 4.59096i) q^{27} +(4.64706 + 0.538329i) q^{28} +(-1.21013 + 0.698667i) q^{29} +(1.02981 + 2.72669i) q^{30} +(-2.15146 - 0.576482i) q^{31} +(-3.47242 - 3.47242i) q^{32} +(2.07311 - 4.58938i) q^{33} +(0.419850 + 0.419850i) q^{34} +(-1.34955 - 9.14783i) q^{35} +(5.20021 - 1.04674i) q^{36} +(1.70844 + 1.70844i) q^{37} +(-1.10768 - 1.91855i) q^{38} +(6.14624 + 1.10620i) q^{39} +(-3.17052 + 5.49150i) q^{40} +(0.777305 - 2.90094i) q^{41} +(2.20617 + 0.0353289i) q^{42} +(-8.87509 - 5.12403i) q^{43} +(4.96573 - 1.33056i) q^{44} +(-4.65883 - 9.39304i) q^{45} +(-1.38019 - 1.38019i) q^{46} +(1.95909 + 7.31143i) q^{47} +(3.56849 + 2.92177i) q^{48} +(-6.81461 - 1.60033i) q^{49} +(3.35551 + 0.899105i) q^{50} +(-1.65263 - 1.35312i) q^{51} +(3.10115 + 5.57013i) q^{52} +(-10.1162 + 5.84059i) q^{53} +(2.39166 - 0.734457i) q^{54} +(-5.08077 - 8.80015i) q^{55} +(2.98116 + 3.76235i) q^{56} +(4.64930 + 6.47247i) q^{57} +(-0.649875 - 0.174133i) q^{58} +(7.19802 - 7.19802i) q^{59} +(4.40630 - 9.75454i) q^{60} +(3.19405 + 5.53226i) q^{61} +(-0.536223 - 0.928765i) q^{62} +(-7.90973 + 0.660443i) q^{63} +2.96105i q^{64} +(9.04831 - 8.77048i) q^{65} +(2.26833 - 0.856699i) q^{66} +(2.59710 + 9.69251i) q^{67} -2.18045i q^{68} +(5.43278 + 4.44819i) q^{69} +(2.65503 - 3.57398i) q^{70} +(15.4283 - 4.13399i) q^{71} +(4.53257 + 3.01362i) q^{72} +(-0.944558 + 3.52514i) q^{73} +1.16332i q^{74} +(-12.3319 - 2.02155i) q^{75} +(-2.10560 + 7.85822i) q^{76} +(-7.61007 + 1.12269i) q^{77} +(1.71595 + 2.46919i) q^{78} +(7.31953 - 12.6778i) q^{79} +(8.98918 - 2.40864i) q^{80} +(-8.29910 + 3.48209i) q^{81} +(1.25231 - 0.723021i) q^{82} +(-1.80071 - 1.80071i) q^{83} +(-5.63705 - 5.82053i) q^{84} +(-4.16305 + 1.11548i) q^{85} +(-1.27710 - 4.76619i) q^{86} +(2.38838 + 0.391521i) q^{87} +(4.56838 + 2.63755i) q^{88} +(-8.20114 + 8.20114i) q^{89} +(1.61183 - 4.78415i) q^{90} +(-3.65039 - 8.81332i) q^{91} +7.16792i q^{92} +(2.25072 + 3.13331i) q^{93} +(-1.82228 + 3.15628i) q^{94} +16.0806 q^{95} +(0.843366 + 8.46375i) q^{96} +(2.44770 + 9.13494i) q^{97} +(-1.77528 - 2.86498i) q^{98} +(-7.81406 + 3.87568i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q + 2q^{3} - 4q^{6} - 16q^{7} + 8q^{9} + O(q^{10}) \) \( 128q + 2q^{3} - 4q^{6} - 16q^{7} + 8q^{9} - 12q^{10} + 48q^{12} - 16q^{13} - 6q^{15} - 64q^{16} - 2q^{18} - 4q^{19} - 6q^{21} - 8q^{22} + 2q^{24} - 40q^{27} + 68q^{28} + 18q^{30} + 20q^{31} - 16q^{33} - 48q^{34} - 60q^{36} - 8q^{37} + 4q^{39} + 44q^{40} + 2q^{42} - 144q^{43} - 2q^{45} - 24q^{46} - 64q^{48} - 60q^{49} - 36q^{51} + 48q^{52} + 14q^{54} - 16q^{55} + 40q^{57} + 44q^{58} - 58q^{60} + 20q^{61} + 14q^{63} - 34q^{66} - 84q^{67} - 54q^{69} - 104q^{70} + 46q^{72} - 48q^{73} + 144q^{76} + 82q^{78} - 24q^{79} + 24q^{81} + 36q^{82} + 184q^{84} + 56q^{85} + 4q^{87} + 132q^{88} + 24q^{91} + 16q^{93} - 16q^{94} - 90q^{96} + 52q^{97} - 10q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{12}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.340464 + 0.340464i 0.240744 + 0.240744i 0.817158 0.576414i \(-0.195548\pi\)
−0.576414 + 0.817158i \(0.695548\pi\)
\(3\) −1.34015 1.09727i −0.773734 0.633510i
\(4\) 1.76817i 0.884084i
\(5\) −3.37589 + 0.904567i −1.50974 + 0.404535i −0.916350 0.400378i \(-0.868879\pi\)
−0.593393 + 0.804913i \(0.702212\pi\)
\(6\) −0.0826902 0.829853i −0.0337581 0.338786i
\(7\) −0.304456 + 2.62818i −0.115073 + 0.993357i
\(8\) 1.28292 1.28292i 0.453582 0.453582i
\(9\) 0.591989 + 2.94101i 0.197330 + 0.980337i
\(10\) −1.45734 0.841396i −0.460851 0.266073i
\(11\) 0.752508 + 2.80840i 0.226890 + 0.846764i 0.981639 + 0.190750i \(0.0610921\pi\)
−0.754749 + 0.656014i \(0.772241\pi\)
\(12\) −1.94016 + 2.36961i −0.560077 + 0.684046i
\(13\) −3.15023 + 1.75388i −0.873715 + 0.486438i
\(14\) −0.998455 + 0.791142i −0.266848 + 0.211442i
\(15\) 5.51674 + 2.49202i 1.42442 + 0.643436i
\(16\) −2.66276 −0.665690
\(17\) 1.23317 0.299088 0.149544 0.988755i \(-0.452219\pi\)
0.149544 + 0.988755i \(0.452219\pi\)
\(18\) −0.799757 + 1.20286i −0.188505 + 0.283516i
\(19\) −4.44427 1.19084i −1.01959 0.273197i −0.289956 0.957040i \(-0.593641\pi\)
−0.729629 + 0.683843i \(0.760307\pi\)
\(20\) 1.59943 + 5.96914i 0.357643 + 1.33474i
\(21\) 3.29184 3.18807i 0.718338 0.695694i
\(22\) −0.699956 + 1.21236i −0.149231 + 0.258476i
\(23\) −4.05387 −0.845289 −0.422645 0.906295i \(-0.638898\pi\)
−0.422645 + 0.906295i \(0.638898\pi\)
\(24\) −3.12703 + 0.311591i −0.638301 + 0.0636032i
\(25\) 6.24826 3.60743i 1.24965 0.721487i
\(26\) −1.66967 0.475406i −0.327449 0.0932348i
\(27\) 2.43374 4.59096i 0.468373 0.883531i
\(28\) 4.64706 + 0.538329i 0.878211 + 0.101735i
\(29\) −1.21013 + 0.698667i −0.224715 + 0.129739i −0.608132 0.793836i \(-0.708081\pi\)
0.383417 + 0.923575i \(0.374747\pi\)
\(30\) 1.02981 + 2.72669i 0.188017 + 0.497824i
\(31\) −2.15146 0.576482i −0.386414 0.103539i 0.0603818 0.998175i \(-0.480768\pi\)
−0.446795 + 0.894636i \(0.647435\pi\)
\(32\) −3.47242 3.47242i −0.613843 0.613843i
\(33\) 2.07311 4.58938i 0.360881 0.798908i
\(34\) 0.419850 + 0.419850i 0.0720036 + 0.0720036i
\(35\) −1.34955 9.14783i −0.228116 1.54627i
\(36\) 5.20021 1.04674i 0.866701 0.174456i
\(37\) 1.70844 + 1.70844i 0.280866 + 0.280866i 0.833454 0.552588i \(-0.186360\pi\)
−0.552588 + 0.833454i \(0.686360\pi\)
\(38\) −1.10768 1.91855i −0.179689 0.311230i
\(39\) 6.14624 + 1.10620i 0.984187 + 0.177134i
\(40\) −3.17052 + 5.49150i −0.501303 + 0.868283i
\(41\) 0.777305 2.90094i 0.121395 0.453051i −0.878291 0.478127i \(-0.841316\pi\)
0.999686 + 0.0250757i \(0.00798267\pi\)
\(42\) 2.20617 + 0.0353289i 0.340420 + 0.00545137i
\(43\) −8.87509 5.12403i −1.35344 0.781408i −0.364708 0.931122i \(-0.618831\pi\)
−0.988729 + 0.149714i \(0.952165\pi\)
\(44\) 4.96573 1.33056i 0.748611 0.200590i
\(45\) −4.65883 9.39304i −0.694497 1.40023i
\(46\) −1.38019 1.38019i −0.203499 0.203499i
\(47\) 1.95909 + 7.31143i 0.285763 + 1.06648i 0.948280 + 0.317435i \(0.102821\pi\)
−0.662517 + 0.749047i \(0.730512\pi\)
\(48\) 3.56849 + 2.92177i 0.515067 + 0.421721i
\(49\) −6.81461 1.60033i −0.973516 0.228618i
\(50\) 3.35551 + 0.899105i 0.474540 + 0.127153i
\(51\) −1.65263 1.35312i −0.231414 0.189475i
\(52\) 3.10115 + 5.57013i 0.430052 + 0.772438i
\(53\) −10.1162 + 5.84059i −1.38957 + 0.802267i −0.993266 0.115854i \(-0.963040\pi\)
−0.396301 + 0.918121i \(0.629706\pi\)
\(54\) 2.39166 0.734457i 0.325463 0.0999469i
\(55\) −5.08077 8.80015i −0.685091 1.18661i
\(56\) 2.98116 + 3.76235i 0.398374 + 0.502765i
\(57\) 4.64930 + 6.47247i 0.615815 + 0.857300i
\(58\) −0.649875 0.174133i −0.0853328 0.0228648i
\(59\) 7.19802 7.19802i 0.937103 0.937103i −0.0610331 0.998136i \(-0.519440\pi\)
0.998136 + 0.0610331i \(0.0194395\pi\)
\(60\) 4.40630 9.75454i 0.568851 1.25931i
\(61\) 3.19405 + 5.53226i 0.408956 + 0.708333i 0.994773 0.102110i \(-0.0325595\pi\)
−0.585817 + 0.810444i \(0.699226\pi\)
\(62\) −0.536223 0.928765i −0.0681004 0.117953i
\(63\) −7.90973 + 0.660443i −0.996532 + 0.0832080i
\(64\) 2.96105i 0.370131i
\(65\) 9.04831 8.77048i 1.12231 1.08784i
\(66\) 2.26833 0.856699i 0.279213 0.105452i
\(67\) 2.59710 + 9.69251i 0.317286 + 1.18413i 0.921842 + 0.387566i \(0.126684\pi\)
−0.604556 + 0.796563i \(0.706649\pi\)
\(68\) 2.18045i 0.264419i
\(69\) 5.43278 + 4.44819i 0.654029 + 0.535499i
\(70\) 2.65503 3.57398i 0.317337 0.427172i
\(71\) 15.4283 4.13399i 1.83100 0.490615i 0.832968 0.553322i \(-0.186640\pi\)
0.998032 + 0.0627067i \(0.0199733\pi\)
\(72\) 4.53257 + 3.01362i 0.534169 + 0.355158i
\(73\) −0.944558 + 3.52514i −0.110552 + 0.412586i −0.998916 0.0465543i \(-0.985176\pi\)
0.888364 + 0.459141i \(0.151843\pi\)
\(74\) 1.16332i 0.135234i
\(75\) −12.3319 2.02155i −1.42397 0.233428i
\(76\) −2.10560 + 7.85822i −0.241529 + 0.901400i
\(77\) −7.61007 + 1.12269i −0.867248 + 0.127943i
\(78\) 1.71595 + 2.46919i 0.194293 + 0.279581i
\(79\) 7.31953 12.6778i 0.823511 1.42636i −0.0795402 0.996832i \(-0.525345\pi\)
0.903052 0.429532i \(-0.141321\pi\)
\(80\) 8.98918 2.40864i 1.00502 0.269295i
\(81\) −8.29910 + 3.48209i −0.922122 + 0.386899i
\(82\) 1.25231 0.723021i 0.138294 0.0798443i
\(83\) −1.80071 1.80071i −0.197653 0.197653i 0.601340 0.798993i \(-0.294634\pi\)
−0.798993 + 0.601340i \(0.794634\pi\)
\(84\) −5.63705 5.82053i −0.615052 0.635071i
\(85\) −4.16305 + 1.11548i −0.451546 + 0.120991i
\(86\) −1.27710 4.76619i −0.137713 0.513952i
\(87\) 2.38838 + 0.391521i 0.256061 + 0.0419755i
\(88\) 4.56838 + 2.63755i 0.486991 + 0.281164i
\(89\) −8.20114 + 8.20114i −0.869319 + 0.869319i −0.992397 0.123078i \(-0.960723\pi\)
0.123078 + 0.992397i \(0.460723\pi\)
\(90\) 1.61183 4.78415i 0.169901 0.504294i
\(91\) −3.65039 8.81332i −0.382665 0.923887i
\(92\) 7.16792i 0.747307i
\(93\) 2.25072 + 3.13331i 0.233388 + 0.324909i
\(94\) −1.82228 + 3.15628i −0.187953 + 0.325545i
\(95\) 16.0806 1.64983
\(96\) 0.843366 + 8.46375i 0.0860756 + 0.863828i
\(97\) 2.44770 + 9.13494i 0.248526 + 0.927513i 0.971578 + 0.236719i \(0.0760721\pi\)
−0.723052 + 0.690794i \(0.757261\pi\)
\(98\) −1.77528 2.86498i −0.179330 0.289407i
\(99\) −7.81406 + 3.87568i −0.785343 + 0.389520i
\(100\) −6.37855 11.0480i −0.637855 1.10480i
\(101\) −1.69983 + 2.94420i −0.169140 + 0.292959i −0.938118 0.346317i \(-0.887432\pi\)
0.768978 + 0.639275i \(0.220766\pi\)
\(102\) −0.101971 1.02335i −0.0100966 0.101327i
\(103\) 4.22732 + 2.44065i 0.416531 + 0.240484i 0.693592 0.720368i \(-0.256027\pi\)
−0.277061 + 0.960852i \(0.589360\pi\)
\(104\) −1.79141 + 6.29159i −0.175662 + 0.616942i
\(105\) −8.22906 + 13.7403i −0.803074 + 1.34091i
\(106\) −5.43271 1.45569i −0.527671 0.141389i
\(107\) 5.09562i 0.492612i −0.969192 0.246306i \(-0.920783\pi\)
0.969192 0.246306i \(-0.0792169\pi\)
\(108\) −8.11759 4.30326i −0.781116 0.414081i
\(109\) −10.4022 2.78725i −0.996346 0.266970i −0.276432 0.961033i \(-0.589152\pi\)
−0.719914 + 0.694063i \(0.755819\pi\)
\(110\) 1.26631 4.72595i 0.120738 0.450602i
\(111\) −0.414938 4.16419i −0.0393842 0.395247i
\(112\) 0.810692 6.99820i 0.0766032 0.661268i
\(113\) −2.78091 1.60556i −0.261606 0.151038i 0.363461 0.931609i \(-0.381595\pi\)
−0.625067 + 0.780571i \(0.714928\pi\)
\(114\) −0.620723 + 3.78656i −0.0581360 + 0.354644i
\(115\) 13.6854 3.66699i 1.27617 0.341949i
\(116\) 1.23536 + 2.13971i 0.114700 + 0.198667i
\(117\) −7.02307 8.22657i −0.649283 0.760547i
\(118\) 4.90133 0.451204
\(119\) −0.375446 + 3.24099i −0.0344170 + 0.297101i
\(120\) 10.2746 3.88050i 0.937942 0.354239i
\(121\) 2.20544 1.27331i 0.200494 0.115755i
\(122\) −0.796075 + 2.97099i −0.0720732 + 0.268981i
\(123\) −4.22482 + 3.03477i −0.380940 + 0.273636i
\(124\) −1.01932 + 3.80415i −0.0915374 + 0.341622i
\(125\) −5.47366 + 5.47366i −0.489579 + 0.489579i
\(126\) −2.91783 2.46812i −0.259941 0.219878i
\(127\) −7.55979 + 4.36464i −0.670822 + 0.387300i −0.796388 0.604786i \(-0.793259\pi\)
0.125566 + 0.992085i \(0.459925\pi\)
\(128\) −7.95298 + 7.95298i −0.702950 + 0.702950i
\(129\) 6.27146 + 16.6053i 0.552172 + 1.46202i
\(130\) 6.06665 + 0.0945919i 0.532081 + 0.00829626i
\(131\) −11.4709 6.62271i −1.00222 0.578629i −0.0933123 0.995637i \(-0.529745\pi\)
−0.908903 + 0.417008i \(0.863079\pi\)
\(132\) −8.11479 3.66560i −0.706302 0.319050i
\(133\) 4.48282 11.3178i 0.388709 0.981375i
\(134\) −2.41573 + 4.18417i −0.208687 + 0.361457i
\(135\) −4.06320 + 17.7001i −0.349704 + 1.52338i
\(136\) 1.58206 1.58206i 0.135661 0.135661i
\(137\) −4.86060 + 4.86060i −0.415269 + 0.415269i −0.883569 0.468300i \(-0.844867\pi\)
0.468300 + 0.883569i \(0.344867\pi\)
\(138\) 0.335215 + 3.36411i 0.0285354 + 0.286372i
\(139\) 10.1161 17.5216i 0.858036 1.48616i −0.0157643 0.999876i \(-0.505018\pi\)
0.873800 0.486286i \(-0.161649\pi\)
\(140\) −16.1749 + 2.38624i −1.36703 + 0.201674i
\(141\) 5.39715 11.9480i 0.454522 1.00621i
\(142\) 6.66024 + 3.84529i 0.558915 + 0.322690i
\(143\) −7.29616 7.52729i −0.610135 0.629463i
\(144\) −1.57632 7.83120i −0.131360 0.652600i
\(145\) 3.45326 3.45326i 0.286778 0.286778i
\(146\) −1.52177 + 0.878594i −0.125943 + 0.0727130i
\(147\) 7.37659 + 9.62216i 0.608411 + 0.793622i
\(148\) 3.02081 3.02081i 0.248309 0.248309i
\(149\) 0.189645 0.707766i 0.0155364 0.0579825i −0.957722 0.287694i \(-0.907112\pi\)
0.973259 + 0.229711i \(0.0737782\pi\)
\(150\) −3.51031 4.88684i −0.286616 0.399009i
\(151\) −3.51051 + 13.1014i −0.285681 + 1.06618i 0.662659 + 0.748921i \(0.269428\pi\)
−0.948340 + 0.317255i \(0.897239\pi\)
\(152\) −7.22942 + 4.17391i −0.586384 + 0.338549i
\(153\) 0.730023 + 3.62677i 0.0590189 + 0.293207i
\(154\) −2.97319 2.20872i −0.239586 0.177984i
\(155\) 7.78456 0.625271
\(156\) 1.95595 10.8676i 0.156601 0.870104i
\(157\) 1.62313 + 2.81134i 0.129540 + 0.224369i 0.923498 0.383603i \(-0.125317\pi\)
−0.793959 + 0.607972i \(0.791983\pi\)
\(158\) 6.80837 1.82430i 0.541644 0.145133i
\(159\) 19.9659 + 3.27297i 1.58340 + 0.259563i
\(160\) 14.8636 + 8.58148i 1.17507 + 0.678425i
\(161\) 1.23422 10.6543i 0.0972703 0.839674i
\(162\) −4.01107 1.64002i −0.315139 0.128852i
\(163\) 2.40156 8.96274i 0.188105 0.702016i −0.805840 0.592133i \(-0.798286\pi\)
0.993945 0.109883i \(-0.0350475\pi\)
\(164\) −5.12935 1.37441i −0.400535 0.107323i
\(165\) −2.84718 + 17.3685i −0.221653 + 1.35213i
\(166\) 1.22615i 0.0951679i
\(167\) 1.19913 + 0.321307i 0.0927919 + 0.0248635i 0.304916 0.952379i \(-0.401372\pi\)
−0.212124 + 0.977243i \(0.568038\pi\)
\(168\) 0.133125 8.31324i 0.0102709 0.641380i
\(169\) 6.84784 11.0502i 0.526757 0.850016i
\(170\) −1.79715 1.03758i −0.137835 0.0795791i
\(171\) 0.871312 13.7756i 0.0666309 1.05345i
\(172\) −9.06016 + 15.6926i −0.690830 + 1.19655i
\(173\) 2.79477 + 4.84069i 0.212483 + 0.368031i 0.952491 0.304567i \(-0.0985117\pi\)
−0.740008 + 0.672598i \(0.765178\pi\)
\(174\) 0.679856 + 0.946454i 0.0515398 + 0.0717505i
\(175\) 7.57865 + 17.5198i 0.572892 + 1.32437i
\(176\) −2.00375 7.47809i −0.151038 0.563682i
\(177\) −17.5446 + 1.74822i −1.31873 + 0.131404i
\(178\) −5.58438 −0.418567
\(179\) −12.4219 + 21.5154i −0.928458 + 1.60814i −0.142556 + 0.989787i \(0.545532\pi\)
−0.785903 + 0.618350i \(0.787801\pi\)
\(180\) −16.6085 + 8.23760i −1.23792 + 0.613994i
\(181\) 13.7332i 1.02078i 0.859944 + 0.510389i \(0.170499\pi\)
−0.859944 + 0.510389i \(0.829501\pi\)
\(182\) 1.75779 4.24344i 0.130296 0.314545i
\(183\) 1.78989 10.9188i 0.132313 0.807140i
\(184\) −5.20081 + 5.20081i −0.383408 + 0.383408i
\(185\) −7.31290 4.22211i −0.537655 0.310415i
\(186\) −0.300491 + 1.83306i −0.0220330 + 0.134407i
\(187\) 0.927971 + 3.46324i 0.0678600 + 0.253257i
\(188\) 12.9278 3.46400i 0.942860 0.252638i
\(189\) 11.3249 + 7.79403i 0.823764 + 0.566932i
\(190\) 5.47485 + 5.47485i 0.397187 + 0.397187i
\(191\) 4.59007 2.65008i 0.332126 0.191753i −0.324659 0.945831i \(-0.605249\pi\)
0.656785 + 0.754078i \(0.271916\pi\)
\(192\) 3.24908 3.96824i 0.234482 0.286383i
\(193\) 10.9076 2.92267i 0.785143 0.210378i 0.156092 0.987743i \(-0.450110\pi\)
0.629051 + 0.777364i \(0.283444\pi\)
\(194\) −2.27676 + 3.94347i −0.163462 + 0.283125i
\(195\) −21.7497 + 1.82528i −1.55753 + 0.130711i
\(196\) −2.82965 + 12.0494i −0.202118 + 0.860671i
\(197\) −5.53825 + 20.6690i −0.394584 + 1.47261i 0.427904 + 0.903824i \(0.359252\pi\)
−0.822488 + 0.568782i \(0.807415\pi\)
\(198\) −3.97993 1.34088i −0.282841 0.0952919i
\(199\) 2.87792i 0.204010i −0.994784 0.102005i \(-0.967474\pi\)
0.994784 0.102005i \(-0.0325258\pi\)
\(200\) 3.38798 12.6441i 0.239566 0.894074i
\(201\) 7.15482 15.8391i 0.504662 1.11721i
\(202\) −1.58112 + 0.423661i −0.111247 + 0.0298087i
\(203\) −1.46779 3.39314i −0.103019 0.238152i
\(204\) −2.39255 + 2.92213i −0.167512 + 0.204590i
\(205\) 10.4964i 0.733099i
\(206\) 0.608299 + 2.27020i 0.0423822 + 0.158172i
\(207\) −2.39984 11.9225i −0.166801 0.828669i
\(208\) 8.38829 4.67015i 0.581623 0.323817i
\(209\) 13.3774i 0.925334i
\(210\) −7.47976 + 1.87637i −0.516152 + 0.129482i
\(211\) 1.08763 + 1.88384i 0.0748758 + 0.129689i 0.901032 0.433752i \(-0.142811\pi\)
−0.826156 + 0.563441i \(0.809477\pi\)
\(212\) 10.3272 + 17.8872i 0.709272 + 1.22849i
\(213\) −25.2123 11.3889i −1.72752 0.780351i
\(214\) 1.73487 1.73487i 0.118594 0.118594i
\(215\) 34.5963 + 9.27006i 2.35945 + 0.632213i
\(216\) −2.76756 9.01216i −0.188308 0.613200i
\(217\) 2.17012 5.47890i 0.147317 0.371932i
\(218\) −2.59260 4.49052i −0.175593 0.304136i
\(219\) 5.13388 3.68777i 0.346916 0.249196i
\(220\) −15.5602 + 8.98366i −1.04907 + 0.605678i
\(221\) −3.88476 + 2.16283i −0.261318 + 0.145488i
\(222\) 1.27648 1.55903i 0.0856719 0.104635i
\(223\) −19.9625 5.34894i −1.33679 0.358192i −0.481548 0.876420i \(-0.659925\pi\)
−0.855242 + 0.518228i \(0.826592\pi\)
\(224\) 10.1833 8.06894i 0.680403 0.539129i
\(225\) 14.3084 + 16.2406i 0.953894 + 1.08271i
\(226\) −0.400165 1.49343i −0.0266185 0.0993418i
\(227\) −9.49071 9.49071i −0.629921 0.629921i 0.318127 0.948048i \(-0.396946\pi\)
−0.948048 + 0.318127i \(0.896946\pi\)
\(228\) 11.4444 8.22075i 0.757925 0.544433i
\(229\) 1.72373 0.461873i 0.113907 0.0305214i −0.201415 0.979506i \(-0.564554\pi\)
0.315322 + 0.948985i \(0.397887\pi\)
\(230\) 5.90786 + 3.41091i 0.389553 + 0.224908i
\(231\) 11.4305 + 6.84575i 0.752073 + 0.450417i
\(232\) −0.656164 + 2.44884i −0.0430793 + 0.160774i
\(233\) −6.63264 + 11.4881i −0.434519 + 0.752609i −0.997256 0.0740271i \(-0.976415\pi\)
0.562737 + 0.826636i \(0.309748\pi\)
\(234\) 0.409750 5.19195i 0.0267862 0.339408i
\(235\) −13.2273 22.9104i −0.862857 1.49451i
\(236\) −12.7273 12.7273i −0.828478 0.828478i
\(237\) −23.7202 + 8.95860i −1.54080 + 0.581924i
\(238\) −1.23126 + 0.975613i −0.0798110 + 0.0632396i
\(239\) 2.44801 + 2.44801i 0.158349 + 0.158349i 0.781835 0.623486i \(-0.214284\pi\)
−0.623486 + 0.781835i \(0.714284\pi\)
\(240\) −14.6898 6.63564i −0.948220 0.428329i
\(241\) 11.5340 + 11.5340i 0.742972 + 0.742972i 0.973149 0.230177i \(-0.0739305\pi\)
−0.230177 + 0.973149i \(0.573931\pi\)
\(242\) 1.18439 + 0.317356i 0.0761353 + 0.0204004i
\(243\) 14.9428 + 4.43985i 0.958582 + 0.284817i
\(244\) 9.78197 5.64762i 0.626226 0.361552i
\(245\) 24.4530 0.761751i 1.56224 0.0486665i
\(246\) −2.47163 0.405169i −0.157585 0.0258326i
\(247\) 16.0890 4.04329i 1.02372 0.257268i
\(248\) −3.49975 + 2.02058i −0.222234 + 0.128307i
\(249\) 0.437348 + 4.38908i 0.0277158 + 0.278147i
\(250\) −3.72716 −0.235726
\(251\) 9.90642 17.1584i 0.625288 1.08303i −0.363197 0.931712i \(-0.618315\pi\)
0.988485 0.151318i \(-0.0483517\pi\)
\(252\) 1.16777 + 13.9857i 0.0735629 + 0.881019i
\(253\) −3.05057 11.3849i −0.191788 0.715761i
\(254\) −4.05984 1.08783i −0.254737 0.0682565i
\(255\) 6.80309 + 3.07308i 0.426026 + 0.192444i
\(256\) 0.506700 0.0316687
\(257\) 7.78418 0.485564 0.242782 0.970081i \(-0.421940\pi\)
0.242782 + 0.970081i \(0.421940\pi\)
\(258\) −3.51831 + 7.78872i −0.219040 + 0.484905i
\(259\) −5.01023 + 3.96994i −0.311320 + 0.246680i
\(260\) −15.5077 15.9989i −0.961746 0.992212i
\(261\) −2.77117 3.14539i −0.171531 0.194695i
\(262\) −1.65062 6.16021i −0.101976 0.380579i
\(263\) 16.0492 + 9.26600i 0.989635 + 0.571366i 0.905165 0.425060i \(-0.139747\pi\)
0.0844701 + 0.996426i \(0.473080\pi\)
\(264\) −3.22818 8.54746i −0.198681 0.526060i
\(265\) 28.8680 28.8680i 1.77335 1.77335i
\(266\) 5.37953 2.32705i 0.329840 0.142681i
\(267\) 19.9896 1.99185i 1.22334 0.121899i
\(268\) 17.1380 4.59211i 1.04687 0.280508i
\(269\) 2.13250i 0.130021i 0.997885 + 0.0650105i \(0.0207081\pi\)
−0.997885 + 0.0650105i \(0.979292\pi\)
\(270\) −7.40960 + 4.64286i −0.450934 + 0.282555i
\(271\) −12.3728 12.3728i −0.751595 0.751595i 0.223182 0.974777i \(-0.428356\pi\)
−0.974777 + 0.223182i \(0.928356\pi\)
\(272\) −3.28364 −0.199100
\(273\) −4.77855 + 15.8166i −0.289211 + 0.957265i
\(274\) −3.30972 −0.199947
\(275\) 14.8330 + 14.8330i 0.894463 + 0.894463i
\(276\) 7.86516 9.60607i 0.473427 0.578217i
\(277\) 14.9937i 0.900883i −0.892806 0.450442i \(-0.851267\pi\)
0.892806 0.450442i \(-0.148733\pi\)
\(278\) 9.40963 2.52130i 0.564352 0.151218i
\(279\) 0.421800 6.66874i 0.0252525 0.399247i
\(280\) −13.4674 10.0046i −0.804828 0.597890i
\(281\) 3.84425 3.84425i 0.229329 0.229329i −0.583084 0.812412i \(-0.698154\pi\)
0.812412 + 0.583084i \(0.198154\pi\)
\(282\) 5.90541 2.23034i 0.351662 0.132815i
\(283\) 18.0058 + 10.3956i 1.07033 + 0.617956i 0.928272 0.371902i \(-0.121294\pi\)
0.142059 + 0.989858i \(0.454628\pi\)
\(284\) −7.30960 27.2798i −0.433745 1.61876i
\(285\) −21.5503 17.6447i −1.27653 1.04518i
\(286\) 0.0786909 5.04684i 0.00465309 0.298426i
\(287\) 7.38753 + 2.92610i 0.436072 + 0.172722i
\(288\) 8.15680 12.2681i 0.480644 0.722903i
\(289\) −15.4793 −0.910547
\(290\) 2.35142 0.138080
\(291\) 6.74324 14.9280i 0.395295 0.875092i
\(292\) 6.23304 + 1.67014i 0.364761 + 0.0977375i
\(293\) 6.06086 + 22.6194i 0.354079 + 1.32144i 0.881639 + 0.471924i \(0.156440\pi\)
−0.527560 + 0.849518i \(0.676893\pi\)
\(294\) −0.764533 + 5.78746i −0.0445885 + 0.337531i
\(295\) −17.7886 + 30.8108i −1.03569 + 1.79388i
\(296\) 4.38360 0.254792
\(297\) 14.7247 + 3.38017i 0.854412 + 0.196137i
\(298\) 0.305536 0.176401i 0.0176992 0.0102187i
\(299\) 12.7706 7.10998i 0.738542 0.411181i
\(300\) −3.57444 + 21.8049i −0.206370 + 1.25891i
\(301\) 16.1689 21.7652i 0.931961 1.25453i
\(302\) −5.65575 + 3.26535i −0.325452 + 0.187900i
\(303\) 5.50861 2.08048i 0.316461 0.119520i
\(304\) 11.8340 + 3.17092i 0.678728 + 0.181865i
\(305\) −15.7871 15.7871i −0.903964 0.903964i
\(306\) −0.986237 + 1.48333i −0.0563794 + 0.0847963i
\(307\) 4.18540 + 4.18540i 0.238874 + 0.238874i 0.816384 0.577510i \(-0.195976\pi\)
−0.577510 + 0.816384i \(0.695976\pi\)
\(308\) 1.98511 + 13.4559i 0.113112 + 0.766721i
\(309\) −2.98718 7.90935i −0.169935 0.449947i
\(310\) 2.65036 + 2.65036i 0.150530 + 0.150530i
\(311\) 2.43302 + 4.21412i 0.137964 + 0.238961i 0.926726 0.375738i \(-0.122611\pi\)
−0.788762 + 0.614699i \(0.789277\pi\)
\(312\) 9.30434 6.46600i 0.526755 0.366065i
\(313\) −6.54113 + 11.3296i −0.369727 + 0.640386i −0.989523 0.144377i \(-0.953882\pi\)
0.619796 + 0.784763i \(0.287215\pi\)
\(314\) −0.404543 + 1.50977i −0.0228297 + 0.0852015i
\(315\) 26.1050 9.38446i 1.47085 0.528754i
\(316\) −22.4165 12.9422i −1.26103 0.728054i
\(317\) −32.7079 + 8.76405i −1.83706 + 0.492238i −0.998608 0.0527429i \(-0.983204\pi\)
−0.838449 + 0.544981i \(0.816537\pi\)
\(318\) 5.68334 + 7.91200i 0.318706 + 0.443683i
\(319\) −2.87277 2.87277i −0.160844 0.160844i
\(320\) −2.67847 9.99618i −0.149731 0.558803i
\(321\) −5.59128 + 6.82888i −0.312075 + 0.381151i
\(322\) 4.04760 3.20718i 0.225564 0.178729i
\(323\) −5.48054 1.46851i −0.304946 0.0817099i
\(324\) 6.15693 + 14.6742i 0.342051 + 0.815234i
\(325\) −13.3564 + 22.3229i −0.740882 + 1.23825i
\(326\) 3.86913 2.23384i 0.214291 0.123721i
\(327\) 10.8821 + 15.1493i 0.601779 + 0.837760i
\(328\) −2.72447 4.71891i −0.150433 0.260558i
\(329\) −19.8122 + 2.92283i −1.09228 + 0.161141i
\(330\) −6.88270 + 4.94398i −0.378880 + 0.272157i
\(331\) −18.5070 4.95893i −1.01724 0.272568i −0.288586 0.957454i \(-0.593185\pi\)
−0.728650 + 0.684886i \(0.759852\pi\)
\(332\) −3.18396 + 3.18396i −0.174742 + 0.174742i
\(333\) −4.01317 + 6.03592i −0.219920 + 0.330766i
\(334\) 0.298869 + 0.517655i 0.0163534 + 0.0283248i
\(335\) −17.5351 30.3716i −0.958042 1.65938i
\(336\) −8.76537 + 8.48907i −0.478190 + 0.463116i
\(337\) 9.78176i 0.532846i 0.963856 + 0.266423i \(0.0858419\pi\)
−0.963856 + 0.266423i \(0.914158\pi\)
\(338\) 6.09364 1.43076i 0.331450 0.0778228i
\(339\) 1.96509 + 5.20310i 0.106729 + 0.282594i
\(340\) 1.97237 + 7.36097i 0.106967 + 0.399205i
\(341\) 6.47597i 0.350693i
\(342\) 4.98675 4.39345i 0.269652 0.237570i
\(343\) 6.28068 17.4228i 0.339125 0.940741i
\(344\) −17.9598 + 4.81232i −0.968328 + 0.259463i
\(345\) −22.3641 10.1023i −1.20404 0.543889i
\(346\) −0.696560 + 2.59960i −0.0374473 + 0.139755i
\(347\) 6.68787i 0.359024i −0.983756 0.179512i \(-0.942548\pi\)
0.983756 0.179512i \(-0.0574518\pi\)
\(348\) 0.692276 4.22305i 0.0371099 0.226379i
\(349\) −7.89446 + 29.4625i −0.422581 + 1.57709i 0.346569 + 0.938025i \(0.387347\pi\)
−0.769150 + 0.639069i \(0.779320\pi\)
\(350\) −3.38461 + 8.54512i −0.180915 + 0.456756i
\(351\) 0.385157 + 18.7310i 0.0205581 + 0.999789i
\(352\) 7.13892 12.3650i 0.380506 0.659056i
\(353\) −4.49062 + 1.20326i −0.239012 + 0.0640430i −0.376336 0.926483i \(-0.622816\pi\)
0.137325 + 0.990526i \(0.456150\pi\)
\(354\) −6.56851 5.37809i −0.349112 0.285842i
\(355\) −48.3447 + 27.9118i −2.56587 + 1.48141i
\(356\) 14.5010 + 14.5010i 0.768551 + 0.768551i
\(357\) 4.05940 3.93144i 0.214846 0.208074i
\(358\) −11.5544 + 3.09600i −0.610671 + 0.163629i
\(359\) 3.02718 + 11.2976i 0.159769 + 0.596265i 0.998650 + 0.0519498i \(0.0165436\pi\)
−0.838881 + 0.544315i \(0.816790\pi\)
\(360\) −18.0275 6.07363i −0.950132 0.320108i
\(361\) 1.87896 + 1.08482i 0.0988926 + 0.0570957i
\(362\) −4.67565 + 4.67565i −0.245746 + 0.245746i
\(363\) −4.35278 0.713542i −0.228462 0.0374513i
\(364\) −15.5834 + 6.45451i −0.816794 + 0.338308i
\(365\) 12.7549i 0.667622i
\(366\) 4.32684 3.10806i 0.226168 0.162461i
\(367\) −7.18324 + 12.4417i −0.374962 + 0.649454i −0.990321 0.138793i \(-0.955678\pi\)
0.615359 + 0.788247i \(0.289011\pi\)
\(368\) 10.7945 0.562700
\(369\) 8.99186 + 0.568738i 0.468097 + 0.0296073i
\(370\) −1.05230 3.92725i −0.0547067 0.204168i
\(371\) −12.2702 28.3654i −0.637035 1.47266i
\(372\) 5.54022 3.97965i 0.287247 0.206335i
\(373\) 1.26182 + 2.18553i 0.0653345 + 0.113163i 0.896842 0.442350i \(-0.145855\pi\)
−0.831508 + 0.555513i \(0.812522\pi\)
\(374\) −0.863166 + 1.49505i −0.0446332 + 0.0773070i
\(375\) 13.3416 1.32942i 0.688957 0.0686507i
\(376\) 11.8934 + 6.86665i 0.613354 + 0.354120i
\(377\) 2.58680 4.32337i 0.133227 0.222665i
\(378\) 1.20213 + 6.50930i 0.0618308 + 0.334802i
\(379\) −1.41467 0.379061i −0.0726669 0.0194710i 0.222302 0.974978i \(-0.428643\pi\)
−0.294969 + 0.955507i \(0.595309\pi\)
\(380\) 28.4331i 1.45859i
\(381\) 14.9204 + 2.44587i 0.764397 + 0.125306i
\(382\) 2.46501 + 0.660497i 0.126121 + 0.0337940i
\(383\) −5.09226 + 19.0046i −0.260202 + 0.971089i 0.704919 + 0.709287i \(0.250983\pi\)
−0.965122 + 0.261801i \(0.915684\pi\)
\(384\) 19.3847 1.93158i 0.989223 0.0985706i
\(385\) 24.6752 10.6739i 1.25757 0.543992i
\(386\) 4.70869 + 2.71856i 0.239666 + 0.138371i
\(387\) 9.81589 29.1351i 0.498970 1.48102i
\(388\) 16.1521 4.32795i 0.820000 0.219718i
\(389\) 7.31209 + 12.6649i 0.370738 + 0.642137i 0.989679 0.143301i \(-0.0457715\pi\)
−0.618942 + 0.785437i \(0.712438\pi\)
\(390\) −8.02642 6.78354i −0.406433 0.343498i
\(391\) −4.99911 −0.252816
\(392\) −10.7957 + 6.68954i −0.545267 + 0.337873i
\(393\) 8.10575 + 21.4621i 0.408881 + 1.08262i
\(394\) −8.92262 + 5.15148i −0.449515 + 0.259528i
\(395\) −13.2420 + 49.4198i −0.666278 + 2.48658i
\(396\) 6.85285 + 13.8166i 0.344369 + 0.694309i
\(397\) 3.97616 14.8392i 0.199558 0.744759i −0.791482 0.611192i \(-0.790690\pi\)
0.991040 0.133567i \(-0.0426431\pi\)
\(398\) 0.979827 0.979827i 0.0491143 0.0491143i
\(399\) −18.4263 + 10.2486i −0.922469 + 0.513072i
\(400\) −16.6376 + 9.60573i −0.831881 + 0.480286i
\(401\) −4.25617 + 4.25617i −0.212543 + 0.212543i −0.805347 0.592804i \(-0.798021\pi\)
0.592804 + 0.805347i \(0.298021\pi\)
\(402\) 7.82860 2.95669i 0.390455 0.147466i
\(403\) 7.78866 1.95735i 0.387981 0.0975024i
\(404\) 5.20584 + 3.00559i 0.259000 + 0.149534i
\(405\) 24.8671 19.2622i 1.23565 0.957149i
\(406\) 0.655511 1.65497i 0.0325325 0.0821348i
\(407\) −3.51237 + 6.08360i −0.174102 + 0.301553i
\(408\) −3.85616 + 0.384244i −0.190908 + 0.0190229i
\(409\) 22.3926 22.3926i 1.10724 1.10724i 0.113729 0.993512i \(-0.463720\pi\)
0.993512 0.113729i \(-0.0362797\pi\)
\(410\) −3.57364 + 3.57364i −0.176489 + 0.176489i
\(411\) 11.8473 1.18052i 0.584386 0.0582308i
\(412\) 4.31548 7.47462i 0.212608 0.368248i
\(413\) 16.7262 + 21.1091i 0.823042 + 1.03871i
\(414\) 3.24211 4.87623i 0.159341 0.239653i
\(415\) 7.70785 + 4.45013i 0.378364 + 0.218448i
\(416\) 17.0291 + 4.84871i 0.834921 + 0.237728i
\(417\) −32.7830 + 12.3814i −1.60539 + 0.606320i
\(418\) 4.55452 4.55452i 0.222769 0.222769i
\(419\) −22.1574 + 12.7926i −1.08246 + 0.624960i −0.931560 0.363589i \(-0.881551\pi\)
−0.150903 + 0.988549i \(0.548218\pi\)
\(420\) 24.2951 + 14.5504i 1.18548 + 0.709985i
\(421\) 5.16333 5.16333i 0.251645 0.251645i −0.570000 0.821645i \(-0.693057\pi\)
0.821645 + 0.570000i \(0.193057\pi\)
\(422\) −0.271078 + 1.01168i −0.0131959 + 0.0492477i
\(423\) −20.3432 + 10.0900i −0.989122 + 0.490592i
\(424\) −5.48529 + 20.4714i −0.266389 + 0.994177i
\(425\) 7.70517 4.44858i 0.373756 0.215788i
\(426\) −4.70637 12.4614i −0.228025 0.603755i
\(427\) −15.5122 + 6.71020i −0.750688 + 0.324729i
\(428\) −9.00992 −0.435511
\(429\) 1.51845 + 18.0935i 0.0733112 + 0.873564i
\(430\) 8.62268 + 14.9349i 0.415822 + 0.720226i
\(431\) −10.5917 + 2.83803i −0.510182 + 0.136703i −0.504722 0.863282i \(-0.668405\pi\)
−0.00546062 + 0.999985i \(0.501738\pi\)
\(432\) −6.48046 + 12.2246i −0.311791 + 0.588157i
\(433\) −10.2514 5.91863i −0.492649 0.284431i 0.233024 0.972471i \(-0.425138\pi\)
−0.725673 + 0.688040i \(0.758471\pi\)
\(434\) 2.60421 1.12652i 0.125006 0.0540747i
\(435\) −8.41705 + 0.838712i −0.403567 + 0.0402132i
\(436\) −4.92833 + 18.3928i −0.236024 + 0.880854i
\(437\) 18.0165 + 4.82750i 0.861845 + 0.230931i
\(438\) 3.00345 + 0.492350i 0.143511 + 0.0235254i
\(439\) 17.5972i 0.839869i 0.907555 + 0.419934i \(0.137947\pi\)
−0.907555 + 0.419934i \(0.862053\pi\)
\(440\) −17.8082 4.77169i −0.848972 0.227481i
\(441\) 0.672402 20.9892i 0.0320191 0.999487i
\(442\) −2.05899 0.586257i −0.0979360 0.0278854i
\(443\) −6.31670 3.64695i −0.300116 0.173272i 0.342379 0.939562i \(-0.388767\pi\)
−0.642495 + 0.766290i \(0.722101\pi\)
\(444\) −7.36298 + 0.733680i −0.349432 + 0.0348189i
\(445\) 20.2677 35.1046i 0.960779 1.66412i
\(446\) −4.97540 8.61764i −0.235592 0.408057i
\(447\) −1.03076 + 0.740418i −0.0487535 + 0.0350206i
\(448\) −7.78216 0.901508i −0.367672 0.0425923i
\(449\) −7.65908 28.5841i −0.361454 1.34897i −0.872165 0.489212i \(-0.837284\pi\)
0.510711 0.859753i \(-0.329382\pi\)
\(450\) −0.657857 + 10.4008i −0.0310117 + 0.490301i
\(451\) 8.73193 0.411171
\(452\) −2.83890 + 4.91712i −0.133531 + 0.231282i
\(453\) 19.0804 13.7058i 0.896475 0.643955i
\(454\) 6.46249i 0.303300i
\(455\) 20.2956 + 26.4508i 0.951470 + 1.24003i
\(456\) 14.2684 + 2.33899i 0.668179 + 0.109533i
\(457\) −9.25129 + 9.25129i −0.432757 + 0.432757i −0.889565 0.456808i \(-0.848993\pi\)
0.456808 + 0.889565i \(0.348993\pi\)
\(458\) 0.744119 + 0.429618i 0.0347704 + 0.0200747i
\(459\) 3.00121 5.66144i 0.140085 0.264253i
\(460\) −6.48386 24.1981i −0.302312 1.12824i
\(461\) −1.24322 + 0.333120i −0.0579025 + 0.0155149i −0.287654 0.957734i \(-0.592875\pi\)
0.229752 + 0.973249i \(0.426209\pi\)
\(462\) 1.56095 + 6.22241i 0.0726218 + 0.289492i
\(463\) −9.42149 9.42149i −0.437854 0.437854i 0.453435 0.891289i \(-0.350198\pi\)
−0.891289 + 0.453435i \(0.850198\pi\)
\(464\) 3.22228 1.86038i 0.149590 0.0863660i
\(465\) −10.4325 8.54178i −0.483793 0.396115i
\(466\) −6.16945 + 1.65310i −0.285794 + 0.0765783i
\(467\) 17.3529 30.0560i 0.802994 1.39083i −0.114643 0.993407i \(-0.536572\pi\)
0.917637 0.397420i \(-0.130094\pi\)
\(468\) −14.5460 + 12.4180i −0.672388 + 0.574021i
\(469\) −26.2643 + 3.87470i −1.21277 + 0.178917i
\(470\) 3.29674 12.3036i 0.152067 0.567523i
\(471\) 0.909573 5.54862i 0.0419109 0.255667i
\(472\) 18.4690i 0.850107i
\(473\) 7.71176 28.7807i 0.354587 1.32334i
\(474\) −11.1260 5.02580i −0.511032 0.230843i
\(475\) −32.0648 + 8.59175i −1.47124 + 0.394216i
\(476\) 5.73061 + 0.663851i 0.262662 + 0.0304276i
\(477\) −23.1659 26.2943i −1.06069 1.20393i
\(478\) 1.66692i 0.0762430i
\(479\) 2.58821 + 9.65932i 0.118258 + 0.441346i 0.999510 0.0313015i \(-0.00996522\pi\)
−0.881252 + 0.472647i \(0.843299\pi\)
\(480\) −10.5031 27.8098i −0.479400 1.26934i
\(481\) −8.37836 2.38558i −0.382021 0.108773i
\(482\) 7.85383i 0.357732i
\(483\) −13.3447 + 12.9240i −0.607204 + 0.588063i
\(484\) −2.25143 3.89959i −0.102338 0.177254i
\(485\) −16.5263 28.6244i −0.750422 1.29977i
\(486\) 3.57588 + 6.59910i 0.162205 + 0.299341i
\(487\) −18.6531 + 18.6531i −0.845251 + 0.845251i −0.989536 0.144286i \(-0.953912\pi\)
0.144286 + 0.989536i \(0.453912\pi\)
\(488\) 11.1952 + 2.99974i 0.506783 + 0.135792i
\(489\) −13.0530 + 9.37623i −0.590277 + 0.424008i
\(490\) 8.58470 + 8.06601i 0.387817 + 0.364385i
\(491\) −7.59788 13.1599i −0.342888 0.593899i 0.642080 0.766638i \(-0.278072\pi\)
−0.984968 + 0.172739i \(0.944738\pi\)
\(492\) 5.36599 + 7.47020i 0.241918 + 0.336783i
\(493\) −1.49229 + 0.861575i −0.0672095 + 0.0388034i
\(494\) 6.85433 + 4.10114i 0.308391 + 0.184519i
\(495\) 22.8736 20.1522i 1.02809 0.905774i
\(496\) 5.72882 + 1.53503i 0.257232 + 0.0689250i
\(497\) 6.16764 + 41.8068i 0.276656 + 1.87529i
\(498\) −1.34542 + 1.64322i −0.0602898 + 0.0736346i
\(499\) 4.38349 + 16.3594i 0.196232 + 0.732347i 0.991945 + 0.126673i \(0.0404299\pi\)
−0.795713 + 0.605674i \(0.792903\pi\)
\(500\) 9.67835 + 9.67835i 0.432829 + 0.432829i
\(501\) −1.25446 1.74638i −0.0560450 0.0780223i
\(502\) 9.21460 2.46904i 0.411268 0.110199i
\(503\) −37.8676 21.8629i −1.68843 0.974818i −0.955718 0.294283i \(-0.904919\pi\)
−0.732716 0.680535i \(-0.761747\pi\)
\(504\) −9.30029 + 10.9949i −0.414268 + 0.489751i
\(505\) 3.07523 11.4769i 0.136846 0.510715i
\(506\) 2.83753 4.91475i 0.126144 0.218487i
\(507\) −21.3022 + 7.29497i −0.946064 + 0.323981i
\(508\) 7.71743 + 13.3670i 0.342405 + 0.593064i
\(509\) −22.5907 22.5907i −1.00131 1.00131i −0.999999 0.00131479i \(-0.999581\pi\)
−0.00131479 0.999999i \(-0.500419\pi\)
\(510\) 1.26993 + 3.36248i 0.0562335 + 0.148893i
\(511\) −8.97711 3.55571i −0.397124 0.157296i
\(512\) 16.0785 + 16.0785i 0.710574 + 0.710574i
\(513\) −16.2833 + 17.5053i −0.718924 + 0.772877i
\(514\) 2.65023 + 2.65023i 0.116897 + 0.116897i
\(515\) −16.4787 4.41546i −0.726139 0.194568i
\(516\) 29.3610 11.0890i 1.29255 0.488166i
\(517\) −19.0592 + 11.0038i −0.838222 + 0.483948i
\(518\) −3.05742 0.354181i −0.134335 0.0155618i
\(519\) 1.56615 9.55386i 0.0687461 0.419368i
\(520\) 0.356438 22.8602i 0.0156308 1.00248i
\(521\) 16.8967 9.75530i 0.740257 0.427388i −0.0819057 0.996640i \(-0.526101\pi\)
0.822163 + 0.569252i \(0.192767\pi\)
\(522\) 0.127410 2.01437i 0.00557658 0.0881668i
\(523\) 9.01176 0.394057 0.197028 0.980398i \(-0.436871\pi\)
0.197028 + 0.980398i \(0.436871\pi\)
\(524\) −11.7101 + 20.2824i −0.511557 + 0.886043i
\(525\) 9.06750 31.7950i 0.395738 1.38765i
\(526\) 2.30943 + 8.61891i 0.100696 + 0.375802i
\(527\) −2.65312 0.710901i −0.115572 0.0309673i
\(528\) −5.52018 + 12.2204i −0.240235 + 0.531825i
\(529\) −6.56617 −0.285486
\(530\) 19.6570 0.853845
\(531\) 25.4306 + 16.9083i 1.10359 + 0.733759i
\(532\) −20.0117 7.92638i −0.867618 0.343652i
\(533\) 2.63921 + 10.5019i 0.114317 + 0.454888i
\(534\) 7.48389 + 6.12758i 0.323860 + 0.265166i
\(535\) 4.60933 + 17.2023i 0.199279 + 0.743719i
\(536\) 15.7667 + 9.10288i 0.681016 + 0.393185i
\(537\) 40.2555 15.2036i 1.73715 0.656083i
\(538\) −0.726040 + 0.726040i −0.0313018 + 0.0313018i
\(539\) −0.633700 20.3424i −0.0272954 0.876210i
\(540\) 31.2967 + 7.18442i 1.34679 + 0.309168i
\(541\) 16.6960 4.47369i 0.717819 0.192339i 0.118621 0.992940i \(-0.462153\pi\)
0.599198 + 0.800601i \(0.295486\pi\)
\(542\) 8.42499i 0.361884i
\(543\) 15.0690 18.4045i 0.646673 0.789811i
\(544\) −4.28209 4.28209i −0.183593 0.183593i
\(545\) 37.6378 1.61223
\(546\) −7.01191 + 3.75806i −0.300082 + 0.160830i
\(547\) 22.6531 0.968576 0.484288 0.874909i \(-0.339079\pi\)
0.484288 + 0.874909i \(0.339079\pi\)
\(548\) 8.59437 + 8.59437i 0.367133 + 0.367133i
\(549\) −14.3796 + 12.6688i −0.613706 + 0.540690i
\(550\) 10.1002i 0.430674i
\(551\) 6.21013 1.66400i 0.264560 0.0708887i
\(552\) 12.6765 1.26315i 0.539549 0.0537631i
\(553\) 31.0910 + 23.0968i 1.32212 + 0.982177i
\(554\) 5.10481 5.10481i 0.216882 0.216882i
\(555\) 5.16757 + 13.6825i 0.219351 + 0.580789i
\(556\) −30.9811 17.8870i −1.31389 0.758576i
\(557\) −2.32404 8.67343i −0.0984727 0.367505i 0.899050 0.437845i \(-0.144258\pi\)
−0.997523 + 0.0703402i \(0.977592\pi\)
\(558\) 2.41407 2.12686i 0.102196 0.0900370i
\(559\) 36.9454 + 0.576057i 1.56263 + 0.0243646i
\(560\) 3.59353 + 24.3585i 0.151854 + 1.02933i
\(561\) 2.55649 5.65948i 0.107935 0.238944i
\(562\) 2.61765 0.110419
\(563\) −13.8832 −0.585107 −0.292553 0.956249i \(-0.594505\pi\)
−0.292553 + 0.956249i \(0.594505\pi\)
\(564\) −21.1262 9.54308i −0.889572 0.401836i
\(565\) 10.8404 + 2.90467i 0.456058 + 0.122200i
\(566\) 2.59097 + 9.66964i 0.108907 + 0.406445i
\(567\) −6.62484 22.8716i −0.278217 0.960518i
\(568\) 14.4897 25.0969i 0.607975 1.05304i
\(569\) 40.7786 1.70953 0.854765 0.519015i \(-0.173701\pi\)
0.854765 + 0.519015i \(0.173701\pi\)
\(570\) −1.32970 13.3445i −0.0556952 0.558939i
\(571\) 0.912831 0.527023i 0.0382008 0.0220552i −0.480778 0.876842i \(-0.659646\pi\)
0.518979 + 0.854787i \(0.326312\pi\)
\(572\) −13.3095 + 12.9008i −0.556499 + 0.539411i
\(573\) −9.05923 1.48506i −0.378455 0.0620393i
\(574\) 1.51895 + 3.51142i 0.0633999 + 0.146564i
\(575\) −25.3296 + 14.6241i −1.05632 + 0.609865i
\(576\) −8.70848 + 1.75291i −0.362853 + 0.0730378i
\(577\) −39.7655 10.6551i −1.65546 0.443579i −0.694327 0.719660i \(-0.744298\pi\)
−0.961134 + 0.276081i \(0.910964\pi\)
\(578\) −5.27014 5.27014i −0.219209 0.219209i
\(579\) −17.8247 8.05174i −0.740769 0.334619i
\(580\) −6.10595 6.10595i −0.253536 0.253536i
\(581\) 5.28081 4.18434i 0.219085 0.173596i
\(582\) 7.37826 2.78660i 0.305839 0.115508i
\(583\) −24.0152 24.0152i −0.994610 0.994610i
\(584\) 3.31069 + 5.73429i 0.136997 + 0.237286i
\(585\) 31.1506 + 21.4192i 1.28792 + 0.885574i
\(586\) −5.63760 + 9.76461i −0.232887 + 0.403372i
\(587\) 5.46425 20.3928i 0.225534 0.841703i −0.756656 0.653813i \(-0.773168\pi\)
0.982190 0.187890i \(-0.0601649\pi\)
\(588\) 17.0136 13.0431i 0.701629 0.537887i
\(589\) 8.87517 + 5.12408i 0.365695 + 0.211134i
\(590\) −16.5464 + 4.43358i −0.681202 + 0.182528i
\(591\) 30.1016 21.6226i 1.23821 0.889433i
\(592\) −4.54916 4.54916i −0.186970 0.186970i
\(593\) 4.52630 + 16.8924i 0.185873 + 0.693687i 0.994442 + 0.105286i \(0.0335758\pi\)
−0.808569 + 0.588401i \(0.799758\pi\)
\(594\) 3.86239 + 6.16404i 0.158476 + 0.252914i
\(595\) −1.66423 11.2808i −0.0682267 0.462469i
\(596\) −1.25145 0.335325i −0.0512614 0.0137354i
\(597\) −3.15786 + 3.85683i −0.129243 + 0.157850i
\(598\) 6.76861 + 1.92723i 0.276789 + 0.0788104i
\(599\) 24.3563 14.0621i 0.995172 0.574563i 0.0883556 0.996089i \(-0.471839\pi\)
0.906816 + 0.421526i \(0.138505\pi\)
\(600\) −18.4144 + 13.2274i −0.751766 + 0.540008i
\(601\) 11.1198 + 19.2600i 0.453586 + 0.785633i 0.998606 0.0527897i \(-0.0168113\pi\)
−0.545020 + 0.838423i \(0.683478\pi\)
\(602\) 12.9152 1.90534i 0.526385 0.0776559i
\(603\) −26.9683 + 13.3760i −1.09824 + 0.544711i
\(604\) 23.1655 + 6.20717i 0.942590 + 0.252566i
\(605\) −6.29352 + 6.29352i −0.255868 + 0.255868i
\(606\) 2.58381 + 1.16715i 0.104960 + 0.0474124i
\(607\) −12.9646 22.4554i −0.526219 0.911437i −0.999533 0.0305440i \(-0.990276\pi\)
0.473315 0.880893i \(-0.343057\pi\)
\(608\) 11.2973 + 19.5675i 0.458166 + 0.793566i
\(609\) −1.75614 + 6.15787i −0.0711624 + 0.249529i
\(610\) 10.7498i 0.435248i
\(611\) −18.9949 19.5966i −0.768452 0.792795i
\(612\) 6.41274 1.29080i 0.259220 0.0521777i
\(613\) 0.935669 + 3.49196i 0.0377913 + 0.141039i 0.982244 0.187609i \(-0.0600737\pi\)
−0.944453 + 0.328648i \(0.893407\pi\)
\(614\) 2.84996i 0.115015i
\(615\) 11.5174 14.0667i 0.464426 0.567224i
\(616\) −8.32282 + 11.2035i −0.335336 + 0.451401i
\(617\) 1.77800 0.476415i 0.0715797 0.0191797i −0.222851 0.974852i \(-0.571536\pi\)
0.294431 + 0.955673i \(0.404870\pi\)
\(618\) 1.67582 3.70987i 0.0674113 0.149233i
\(619\) 2.04977 7.64984i 0.0823871 0.307473i −0.912419 0.409256i \(-0.865788\pi\)
0.994807 + 0.101783i \(0.0324549\pi\)
\(620\) 13.7644i 0.552792i
\(621\) −9.86604 + 18.6111i −0.395911 + 0.746839i
\(622\) −0.606399 + 2.26311i −0.0243144 + 0.0907425i
\(623\) −19.0571 24.0509i −0.763508 0.963579i
\(624\) −16.3660 2.94555i −0.655163 0.117916i
\(625\) −4.51000 + 7.81156i −0.180400 + 0.312462i
\(626\) −6.08433 + 1.63029i −0.243179 + 0.0651595i
\(627\) −14.6787 + 17.9277i −0.586209 + 0.715963i
\(628\) 4.97092 2.86996i 0.198361 0.114524i
\(629\) 2.10680 + 2.10680i 0.0840035 + 0.0840035i
\(630\) 12.0829 + 5.69272i 0.481393 + 0.226803i
\(631\) −13.5038 + 3.61834i −0.537579 + 0.144044i −0.517386 0.855752i \(-0.673095\pi\)
−0.0201930 + 0.999796i \(0.506428\pi\)
\(632\) −6.87426 25.6551i −0.273443 1.02050i
\(633\) 0.609492 3.71805i 0.0242251 0.147779i
\(634\) −14.1197 8.15200i −0.560764 0.323757i
\(635\) 21.5729 21.5729i 0.856094 0.856094i
\(636\) 5.78717 35.3031i 0.229476 1.39986i
\(637\) 24.2743 6.91060i 0.961784 0.273808i
\(638\) 1.95615i 0.0774446i
\(639\) 21.2915 + 42.9275i 0.842278 + 1.69818i
\(640\) 19.6544 34.0424i 0.776907 1.34564i
\(641\) −21.4522 −0.847312 −0.423656 0.905823i \(-0.639253\pi\)
−0.423656 + 0.905823i \(0.639253\pi\)
\(642\) −4.22862 + 0.421358i −0.166890 + 0.0166297i
\(643\) 10.3365 + 38.5762i 0.407630 + 1.52130i 0.799153 + 0.601128i \(0.205282\pi\)
−0.391522 + 0.920169i \(0.628051\pi\)
\(644\) −18.8385 2.18231i −0.742343 0.0859952i
\(645\) −36.1924 50.3848i −1.42507 1.98390i
\(646\) −1.36595 2.36590i −0.0537427 0.0930851i
\(647\) 13.4511 23.2980i 0.528818 0.915940i −0.470617 0.882338i \(-0.655969\pi\)
0.999435 0.0336027i \(-0.0106981\pi\)
\(648\) −6.17986 + 15.1144i −0.242768 + 0.593749i
\(649\) 25.6315 + 14.7984i 1.00612 + 0.580886i
\(650\) −12.1475 + 3.05276i −0.476465 + 0.119739i
\(651\) −8.92013 + 4.96132i −0.349607 + 0.194450i
\(652\) −15.8476 4.24636i −0.620641 0.166300i
\(653\) 41.0588i 1.60676i −0.595469 0.803378i \(-0.703034\pi\)
0.595469 0.803378i \(-0.296966\pi\)
\(654\) −1.45285 + 8.86274i −0.0568110 + 0.346561i
\(655\) 44.7151 + 11.9814i 1.74716 + 0.468151i
\(656\) −2.06978 + 7.72451i −0.0808112 + 0.301591i
\(657\) −10.9266 0.691114i −0.426289 0.0269629i
\(658\) −7.74044 5.75021i −0.301754 0.224166i
\(659\) 41.8434 + 24.1583i 1.62999 + 0.941074i 0.984094 + 0.177648i \(0.0568488\pi\)
0.645895 + 0.763427i \(0.276485\pi\)
\(660\) 30.7104 + 5.03430i 1.19540 + 0.195960i
\(661\) −44.3386 + 11.8805i −1.72457 + 0.462098i −0.978921 0.204239i \(-0.934528\pi\)
−0.745651 + 0.666337i \(0.767861\pi\)
\(662\) −4.61262 7.98929i −0.179275 0.310513i
\(663\) 7.57937 + 1.36413i 0.294358 + 0.0529786i
\(664\) −4.62035 −0.179304
\(665\) −4.89582 + 42.2625i −0.189852 + 1.63887i
\(666\) −3.42135 + 0.688675i −0.132575 + 0.0266856i
\(667\) 4.90569 2.83230i 0.189949 0.109667i
\(668\) 0.568125 2.12027i 0.0219814 0.0820358i
\(669\) 20.8835 + 29.0727i 0.807402 + 1.12402i
\(670\) 4.37038 16.3105i 0.168842 0.630129i
\(671\) −13.1332 + 13.1332i −0.507003 + 0.507003i
\(672\) −22.5010 0.360323i −0.867994 0.0138998i
\(673\) −4.70912 + 2.71881i −0.181523 + 0.104802i −0.588008 0.808855i \(-0.700088\pi\)
0.406485 + 0.913657i \(0.366754\pi\)
\(674\) −3.33034 + 3.33034i −0.128280 + 0.128280i
\(675\) −1.35497 37.4651i −0.0521528 1.44203i
\(676\) −19.5386 12.1081i −0.751486 0.465697i
\(677\) 2.94612 + 1.70094i 0.113228 + 0.0653725i 0.555545 0.831487i \(-0.312510\pi\)
−0.442316 + 0.896859i \(0.645843\pi\)
\(678\) −1.10242 + 2.44051i −0.0423383 + 0.0937273i
\(679\) −24.7534 + 3.65180i −0.949950 + 0.140143i
\(680\) −3.90979 + 6.77196i −0.149934 + 0.259693i
\(681\) 2.30506 + 23.1328i 0.0883301 + 0.886452i
\(682\) 2.20483 2.20483i 0.0844274 0.0844274i
\(683\) −9.23127 + 9.23127i −0.353225 + 0.353225i −0.861308 0.508083i \(-0.830354\pi\)
0.508083 + 0.861308i \(0.330354\pi\)
\(684\) −24.3576 1.54063i −0.931337 0.0589073i
\(685\) 12.0121 20.8056i 0.458960 0.794941i
\(686\) 8.07017 3.79348i 0.308120 0.144836i
\(687\) −2.81686 1.27243i −0.107470 0.0485461i
\(688\) 23.6322 + 13.6441i 0.900970 + 0.520175i
\(689\) 21.6246 36.1417i 0.823833 1.37689i
\(690\) −4.17471 11.0536i −0.158929 0.420805i
\(691\) 6.29526 6.29526i 0.239483 0.239483i −0.577153 0.816636i \(-0.695836\pi\)
0.816636 + 0.577153i \(0.195836\pi\)
\(692\) 8.55916 4.94163i 0.325370 0.187853i
\(693\) −7.80693 21.7167i −0.296561 0.824949i
\(694\) 2.27698 2.27698i 0.0864328 0.0864328i
\(695\) −18.3014 + 68.3016i −0.694210 + 2.59083i
\(696\) 3.56640 2.56181i 0.135184 0.0971053i
\(697\) 0.958549 3.57736i 0.0363076 0.135502i
\(698\) −12.7187 + 7.34315i −0.481410 + 0.277942i
\(699\) 21.4943 8.11789i 0.812987 0.307047i
\(700\) 30.9780 13.4003i 1.17086 0.506485i
\(701\) −2.47453 −0.0934617 −0.0467309 0.998908i \(-0.514880\pi\)
−0.0467309 + 0.998908i \(0.514880\pi\)
\(702\) −6.24611 + 6.50837i −0.235744 + 0.245643i
\(703\) −5.55829 9.62725i −0.209635 0.363099i
\(704\) −8.31581 + 2.22822i −0.313414 + 0.0839790i
\(705\) −7.41239 + 45.2174i −0.279167 + 1.70298i
\(706\) −1.93856 1.11923i −0.0729587 0.0421227i
\(707\) −7.22034 5.36384i −0.271549 0.201728i
\(708\) 3.09115 + 31.0218i 0.116173 + 1.16587i
\(709\) −1.73515 + 6.47568i −0.0651651 + 0.243199i −0.990824 0.135160i \(-0.956845\pi\)
0.925659 + 0.378360i \(0.123512\pi\)
\(710\) −25.9626 6.95665i −0.974358 0.261078i
\(711\) 41.6186 + 14.0217i 1.56082 + 0.525855i
\(712\) 21.0429i 0.788615i
\(713\) 8.72173 + 2.33698i 0.326631 + 0.0875206i
\(714\) 2.72059 + 0.0435666i 0.101815 + 0.00163044i
\(715\) 31.4399 + 18.8114i 1.17579 + 0.703507i
\(716\) 38.0429 + 21.9641i 1.42173 + 0.820836i
\(717\) −0.594561 5.96682i −0.0222043 0.222835i
\(718\) −2.81578 + 4.87707i −0.105084 + 0.182011i
\(719\) −20.1579 34.9144i −0.751761 1.30209i −0.946968 0.321327i \(-0.895871\pi\)
0.195207 0.980762i \(-0.437462\pi\)
\(720\) 12.4053 + 25.0114i 0.462320 + 0.932119i
\(721\) −7.70148 + 10.3671i −0.286818 + 0.386090i
\(722\) 0.270377 + 1.00906i 0.0100624 + 0.0375533i
\(723\) −2.80133 28.1132i −0.104183 1.04554i
\(724\) 24.2826 0.902454
\(725\) −5.04079 + 8.73091i −0.187210 + 0.324258i
\(726\) −1.23903 1.72490i −0.0459847 0.0640170i
\(727\) 10.4619i 0.388012i −0.981000 0.194006i \(-0.937852\pi\)
0.981000 0.194006i \(-0.0621481\pi\)
\(728\) −15.9900 6.62365i −0.592629 0.245489i
\(729\) −15.1538 22.3464i −0.561254 0.827644i
\(730\) 4.34258 4.34258i 0.160726 0.160726i
\(731\) −10.9445 6.31881i −0.404797 0.233709i
\(732\) −19.3063 3.16483i −0.713580 0.116976i
\(733\) −0.221443 0.826435i −0.00817917 0.0305251i 0.961716 0.274049i \(-0.0883631\pi\)
−0.969895 + 0.243524i \(0.921696\pi\)
\(734\) −6.68160 + 1.79033i −0.246622 + 0.0660822i
\(735\) −33.6064 25.8107i −1.23959 0.952042i
\(736\) 14.0767 + 14.0767i 0.518875 + 0.518875i
\(737\) −25.2661 + 14.5874i −0.930689 + 0.537334i
\(738\) 2.86777 + 3.25504i 0.105564 + 0.119820i
\(739\) −26.7139 + 7.15797i −0.982687 + 0.263310i −0.714176 0.699966i \(-0.753198\pi\)
−0.268511 + 0.963277i \(0.586532\pi\)
\(740\) −7.46540 + 12.9304i −0.274433 + 0.475333i
\(741\) −25.9983 12.2354i −0.955070 0.449480i
\(742\) 5.47983 13.8349i 0.201171 0.507896i
\(743\) 6.26937 23.3976i 0.230001 0.858375i −0.750338 0.661054i \(-0.770109\pi\)
0.980339 0.197321i \(-0.0632240\pi\)
\(744\) 6.90730 + 1.13230i 0.253234 + 0.0415121i
\(745\) 2.56089i 0.0938236i
\(746\) −0.314492 + 1.17370i −0.0115144 + 0.0429722i
\(747\) 4.22991 6.36190i 0.154764 0.232770i
\(748\) 6.12359 1.64081i 0.223900 0.0599939i
\(749\) 13.3922 + 1.55139i 0.489340 + 0.0566866i
\(750\) 4.99495 + 4.08971i 0.182390 + 0.149335i
\(751\) 36.5507i 1.33376i −0.745167 0.666878i \(-0.767630\pi\)
0.745167 0.666878i \(-0.232370\pi\)
\(752\) −5.21659 19.4686i −0.190229 0.709946i
\(753\) −32.1035 + 12.1248i −1.16992 + 0.441851i
\(754\) 2.35266 0.591241i 0.0856789 0.0215317i
\(755\) 47.4043i 1.72522i
\(756\) 13.7812 20.0243i 0.501216 0.728277i
\(757\) −3.13970 5.43812i −0.114114 0.197652i 0.803311 0.595560i \(-0.203070\pi\)
−0.917425 + 0.397908i \(0.869736\pi\)
\(758\) −0.352589 0.610702i −0.0128066 0.0221817i
\(759\) −8.40409 + 18.6047i −0.305049 + 0.675308i
\(760\) 20.6301 20.6301i 0.748334 0.748334i
\(761\) −30.2298 8.10005i −1.09583 0.293627i −0.334764 0.942302i \(-0.608657\pi\)
−0.761065 + 0.648675i \(0.775323\pi\)
\(762\) 4.24713 + 5.91260i 0.153857 + 0.214191i
\(763\) 10.4924 26.4901i 0.379850 0.959006i
\(764\) −4.68579 8.11602i −0.169526 0.293627i
\(765\) −5.74513 11.5832i −0.207716 0.418792i
\(766\) −8.20410 + 4.73664i −0.296426 + 0.171142i
\(767\) −10.0510 + 35.2998i −0.362919 + 1.27460i
\(768\) −0.679053 0.555988i −0.0245032 0.0200625i
\(769\) 1.01242 + 0.271278i 0.0365089 + 0.00978253i 0.277027 0.960862i \(-0.410651\pi\)
−0.240518 + 0.970645i \(0.577317\pi\)
\(770\) 12.0351 + 4.76694i 0.433715 + 0.171789i
\(771\) −10.4319 8.54136i −0.375697 0.307610i
\(772\) −5.16777 19.2864i −0.185992 0.694133i
\(773\) 35.1986 + 35.1986i 1.26600 + 1.26600i 0.948135 + 0.317869i \(0.102967\pi\)
0.317869 + 0.948135i \(0.397033\pi\)