Properties

Label 273.2.by.d.223.3
Level $273$
Weight $2$
Character 273.223
Analytic conductor $2.180$
Analytic rank $0$
Dimension $32$
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.by (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 223.3
Character \(\chi\) \(=\) 273.223
Dual form 273.2.by.d.202.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.38083 - 0.369991i) q^{2} +(0.866025 - 0.500000i) q^{3} +(0.0377371 + 0.0217876i) q^{4} +(0.512287 + 0.512287i) q^{5} +(-1.38083 + 0.369991i) q^{6} +(-2.41005 - 1.09162i) q^{7} +(1.97762 + 1.97762i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(-1.38083 - 0.369991i) q^{2} +(0.866025 - 0.500000i) q^{3} +(0.0377371 + 0.0217876i) q^{4} +(0.512287 + 0.512287i) q^{5} +(-1.38083 + 0.369991i) q^{6} +(-2.41005 - 1.09162i) q^{7} +(1.97762 + 1.97762i) q^{8} +(0.500000 - 0.866025i) q^{9} +(-0.517838 - 0.896921i) q^{10} +(1.38992 - 5.18727i) q^{11} +0.0435751 q^{12} +(-0.0545462 - 3.60514i) q^{13} +(2.92397 + 2.39904i) q^{14} +(0.699797 + 0.187510i) q^{15} +(-2.04263 - 3.53793i) q^{16} +(-1.31681 + 2.28077i) q^{17} +(-1.01084 + 1.01084i) q^{18} +(-5.26328 + 1.41029i) q^{19} +(0.00817077 + 0.0304937i) q^{20} +(-2.63298 + 0.259652i) q^{21} +(-3.83849 + 6.64846i) q^{22} +(5.51236 - 3.18256i) q^{23} +(2.70148 + 0.723860i) q^{24} -4.47512i q^{25} +(-1.25855 + 4.99825i) q^{26} -1.00000i q^{27} +(-0.0671647 - 0.0937039i) q^{28} +(0.300703 + 0.520832i) q^{29} +(-0.896921 - 0.517838i) q^{30} +(-6.22737 - 6.22737i) q^{31} +(0.0637871 + 0.238057i) q^{32} +(-1.38992 - 5.18727i) q^{33} +(2.66215 - 2.66215i) q^{34} +(-0.675414 - 1.79386i) q^{35} +(0.0377371 - 0.0217876i) q^{36} +(0.172749 - 0.644708i) q^{37} +7.78948 q^{38} +(-1.84981 - 3.09487i) q^{39} +2.02622i q^{40} +(-2.11401 + 7.88960i) q^{41} +(3.73176 + 0.615645i) q^{42} +(4.10340 + 2.36910i) q^{43} +(0.165470 - 0.165470i) q^{44} +(0.699797 - 0.187510i) q^{45} +(-8.78913 + 2.35504i) q^{46} +(4.25821 - 4.25821i) q^{47} +(-3.53793 - 2.04263i) q^{48} +(4.61671 + 5.26174i) q^{49} +(-1.65576 + 6.17937i) q^{50} +2.63361i q^{51} +(0.0764887 - 0.137236i) q^{52} +0.282101 q^{53} +(-0.369991 + 1.38083i) q^{54} +(3.36941 - 1.94533i) q^{55} +(-2.60736 - 6.92500i) q^{56} +(-3.85299 + 3.85299i) q^{57} +(-0.222515 - 0.830436i) q^{58} +(-1.21690 - 4.54153i) q^{59} +(0.0223230 + 0.0223230i) q^{60} +(13.0884 + 7.55656i) q^{61} +(6.29485 + 10.9030i) q^{62} +(-2.15040 + 1.54136i) q^{63} +7.81819i q^{64} +(1.81892 - 1.87481i) q^{65} +7.67698i q^{66} +(4.48192 + 1.20093i) q^{67} +(-0.0993850 + 0.0573799i) q^{68} +(3.18256 - 5.51236i) q^{69} +(0.268916 + 2.72691i) q^{70} +(4.11194 + 15.3460i) q^{71} +(2.70148 - 0.723860i) q^{72} +(3.04327 - 3.04327i) q^{73} +(-0.477073 + 0.826314i) q^{74} +(-2.23756 - 3.87557i) q^{75} +(-0.229348 - 0.0614536i) q^{76} +(-9.01234 + 10.9843i) q^{77} +(1.40919 + 4.95789i) q^{78} +4.77147 q^{79} +(0.766026 - 2.85885i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(5.83817 - 10.1120i) q^{82} +(2.42351 + 2.42351i) q^{83} +(-0.105018 - 0.0475676i) q^{84} +(-1.84299 + 0.493829i) q^{85} +(-4.78954 - 4.78954i) q^{86} +(0.520832 + 0.300703i) q^{87} +(13.0072 - 7.50971i) q^{88} +(-5.75969 - 1.54330i) q^{89} -1.03568 q^{90} +(-3.80400 + 8.74812i) q^{91} +0.277361 q^{92} +(-8.50675 - 2.27938i) q^{93} +(-7.45535 + 4.30435i) q^{94} +(-3.41879 - 1.97384i) q^{95} +(0.174270 + 0.174270i) q^{96} +(-15.7347 + 4.21610i) q^{97} +(-4.42808 - 8.97370i) q^{98} +(-3.79734 - 3.79734i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + O(q^{10}) \) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + 2q^{10} - 4q^{11} + 32q^{12} + 6q^{13} + 34q^{14} + 4q^{15} + 14q^{16} - 8q^{17} + 2q^{18} + 2q^{19} + 44q^{20} - 4q^{21} - 4q^{22} - 18q^{23} + 4q^{24} - 28q^{26} - 32q^{28} - 18q^{29} - 14q^{31} - 8q^{32} + 4q^{33} - 66q^{34} + 22q^{35} + 6q^{36} - 24q^{37} + 24q^{38} + 8q^{39} - 26q^{42} - 6q^{43} - 20q^{44} + 4q^{45} - 58q^{46} - 28q^{47} - 60q^{48} + 8q^{49} + 70q^{50} + 28q^{52} - 80q^{53} - 4q^{54} + 60q^{55} - 54q^{56} + 16q^{57} - 4q^{58} - 42q^{59} - 58q^{60} + 36q^{61} + 52q^{62} + 4q^{63} + 14q^{65} + 26q^{67} - 72q^{68} + 2q^{69} - 116q^{70} - 4q^{71} + 4q^{72} + 12q^{73} - 18q^{74} + 16q^{75} - 48q^{76} + 28q^{77} - 14q^{78} - 4q^{79} - 98q^{80} - 16q^{81} + 20q^{82} - 36q^{83} - 18q^{84} - 10q^{85} - 40q^{86} + 96q^{88} - 54q^{89} + 4q^{90} + 148q^{91} - 4q^{92} + 2q^{93} + 60q^{95} + 22q^{96} - 40q^{97} + 36q^{98} + 4q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.38083 0.369991i −0.976392 0.261623i −0.264867 0.964285i \(-0.585328\pi\)
−0.711524 + 0.702661i \(0.751995\pi\)
\(3\) 0.866025 0.500000i 0.500000 0.288675i
\(4\) 0.0377371 + 0.0217876i 0.0188686 + 0.0108938i
\(5\) 0.512287 + 0.512287i 0.229102 + 0.229102i 0.812317 0.583216i \(-0.198206\pi\)
−0.583216 + 0.812317i \(0.698206\pi\)
\(6\) −1.38083 + 0.369991i −0.563720 + 0.151048i
\(7\) −2.41005 1.09162i −0.910915 0.412595i
\(8\) 1.97762 + 1.97762i 0.699195 + 0.699195i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) −0.517838 0.896921i −0.163755 0.283631i
\(11\) 1.38992 5.18727i 0.419078 1.56402i −0.357447 0.933933i \(-0.616353\pi\)
0.776525 0.630086i \(-0.216981\pi\)
\(12\) 0.0435751 0.0125790
\(13\) −0.0545462 3.60514i −0.0151284 0.999886i
\(14\) 2.92397 + 2.39904i 0.781465 + 0.641171i
\(15\) 0.699797 + 0.187510i 0.180687 + 0.0484149i
\(16\) −2.04263 3.53793i −0.510656 0.884483i
\(17\) −1.31681 + 2.28077i −0.319372 + 0.553169i −0.980357 0.197230i \(-0.936805\pi\)
0.660985 + 0.750399i \(0.270139\pi\)
\(18\) −1.01084 + 1.01084i −0.238256 + 0.238256i
\(19\) −5.26328 + 1.41029i −1.20748 + 0.323543i −0.805773 0.592225i \(-0.798250\pi\)
−0.401707 + 0.915768i \(0.631583\pi\)
\(20\) 0.00817077 + 0.0304937i 0.00182704 + 0.00681861i
\(21\) −2.63298 + 0.259652i −0.574563 + 0.0566608i
\(22\) −3.83849 + 6.64846i −0.818368 + 1.41746i
\(23\) 5.51236 3.18256i 1.14941 0.663610i 0.200663 0.979660i \(-0.435690\pi\)
0.948742 + 0.316051i \(0.102357\pi\)
\(24\) 2.70148 + 0.723860i 0.551438 + 0.147757i
\(25\) 4.47512i 0.895025i
\(26\) −1.25855 + 4.99825i −0.246822 + 0.980238i
\(27\) 1.00000i 0.192450i
\(28\) −0.0671647 0.0937039i −0.0126929 0.0177084i
\(29\) 0.300703 + 0.520832i 0.0558391 + 0.0967161i 0.892594 0.450862i \(-0.148883\pi\)
−0.836755 + 0.547578i \(0.815550\pi\)
\(30\) −0.896921 0.517838i −0.163755 0.0945438i
\(31\) −6.22737 6.22737i −1.11847 1.11847i −0.991966 0.126503i \(-0.959625\pi\)
−0.126503 0.991966i \(-0.540375\pi\)
\(32\) 0.0637871 + 0.238057i 0.0112761 + 0.0420829i
\(33\) −1.38992 5.18727i −0.241955 0.902987i
\(34\) 2.66215 2.66215i 0.456554 0.456554i
\(35\) −0.675414 1.79386i −0.114166 0.303218i
\(36\) 0.0377371 0.0217876i 0.00628952 0.00363126i
\(37\) 0.172749 0.644708i 0.0283998 0.105989i −0.950271 0.311424i \(-0.899194\pi\)
0.978671 + 0.205435i \(0.0658608\pi\)
\(38\) 7.78948 1.26362
\(39\) −1.84981 3.09487i −0.296206 0.495576i
\(40\) 2.02622i 0.320374i
\(41\) −2.11401 + 7.88960i −0.330153 + 1.23215i 0.578876 + 0.815416i \(0.303492\pi\)
−0.909029 + 0.416733i \(0.863175\pi\)
\(42\) 3.73176 + 0.615645i 0.575823 + 0.0949960i
\(43\) 4.10340 + 2.36910i 0.625762 + 0.361284i 0.779109 0.626888i \(-0.215672\pi\)
−0.153347 + 0.988172i \(0.549005\pi\)
\(44\) 0.165470 0.165470i 0.0249455 0.0249455i
\(45\) 0.699797 0.187510i 0.104320 0.0279524i
\(46\) −8.78913 + 2.35504i −1.29589 + 0.347232i
\(47\) 4.25821 4.25821i 0.621123 0.621123i −0.324695 0.945819i \(-0.605262\pi\)
0.945819 + 0.324695i \(0.105262\pi\)
\(48\) −3.53793 2.04263i −0.510656 0.294828i
\(49\) 4.61671 + 5.26174i 0.659530 + 0.751678i
\(50\) −1.65576 + 6.17937i −0.234159 + 0.873895i
\(51\) 2.63361i 0.368779i
\(52\) 0.0764887 0.137236i 0.0106071 0.0190312i
\(53\) 0.282101 0.0387495 0.0193748 0.999812i \(-0.493832\pi\)
0.0193748 + 0.999812i \(0.493832\pi\)
\(54\) −0.369991 + 1.38083i −0.0503494 + 0.187907i
\(55\) 3.36941 1.94533i 0.454331 0.262308i
\(56\) −2.60736 6.92500i −0.348423 0.925392i
\(57\) −3.85299 + 3.85299i −0.510341 + 0.510341i
\(58\) −0.222515 0.830436i −0.0292176 0.109042i
\(59\) −1.21690 4.54153i −0.158427 0.591257i −0.998787 0.0492295i \(-0.984323\pi\)
0.840361 0.542028i \(-0.182343\pi\)
\(60\) 0.0223230 + 0.0223230i 0.00288188 + 0.00288188i
\(61\) 13.0884 + 7.55656i 1.67579 + 0.967519i 0.964295 + 0.264829i \(0.0853156\pi\)
0.711497 + 0.702690i \(0.248018\pi\)
\(62\) 6.29485 + 10.9030i 0.799446 + 1.38468i
\(63\) −2.15040 + 1.54136i −0.270925 + 0.194193i
\(64\) 7.81819i 0.977273i
\(65\) 1.81892 1.87481i 0.225610 0.232541i
\(66\) 7.67698i 0.944970i
\(67\) 4.48192 + 1.20093i 0.547553 + 0.146716i 0.521982 0.852957i \(-0.325193\pi\)
0.0255714 + 0.999673i \(0.491859\pi\)
\(68\) −0.0993850 + 0.0573799i −0.0120522 + 0.00695834i
\(69\) 3.18256 5.51236i 0.383135 0.663610i
\(70\) 0.268916 + 2.72691i 0.0321416 + 0.325928i
\(71\) 4.11194 + 15.3460i 0.487998 + 1.82123i 0.566165 + 0.824292i \(0.308427\pi\)
−0.0781668 + 0.996940i \(0.524907\pi\)
\(72\) 2.70148 0.723860i 0.318373 0.0853077i
\(73\) 3.04327 3.04327i 0.356188 0.356188i −0.506218 0.862406i \(-0.668957\pi\)
0.862406 + 0.506218i \(0.168957\pi\)
\(74\) −0.477073 + 0.826314i −0.0554586 + 0.0960571i
\(75\) −2.23756 3.87557i −0.258371 0.447512i
\(76\) −0.229348 0.0614536i −0.0263080 0.00704922i
\(77\) −9.01234 + 10.9843i −1.02705 + 1.25178i
\(78\) 1.40919 + 4.95789i 0.159559 + 0.561370i
\(79\) 4.77147 0.536832 0.268416 0.963303i \(-0.413500\pi\)
0.268416 + 0.963303i \(0.413500\pi\)
\(80\) 0.766026 2.85885i 0.0856443 0.319629i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) 5.83817 10.1120i 0.644718 1.11668i
\(83\) 2.42351 + 2.42351i 0.266015 + 0.266015i 0.827492 0.561477i \(-0.189767\pi\)
−0.561477 + 0.827492i \(0.689767\pi\)
\(84\) −0.105018 0.0475676i −0.0114584 0.00519005i
\(85\) −1.84299 + 0.493829i −0.199901 + 0.0535632i
\(86\) −4.78954 4.78954i −0.516469 0.516469i
\(87\) 0.520832 + 0.300703i 0.0558391 + 0.0322387i
\(88\) 13.0072 7.50971i 1.38657 0.800538i
\(89\) −5.75969 1.54330i −0.610526 0.163590i −0.0597085 0.998216i \(-0.519017\pi\)
−0.550817 + 0.834626i \(0.685684\pi\)
\(90\) −1.03568 −0.109170
\(91\) −3.80400 + 8.74812i −0.398767 + 0.917052i
\(92\) 0.277361 0.0289169
\(93\) −8.50675 2.27938i −0.882109 0.236360i
\(94\) −7.45535 + 4.30435i −0.768960 + 0.443959i
\(95\) −3.41879 1.97384i −0.350760 0.202511i
\(96\) 0.174270 + 0.174270i 0.0177863 + 0.0177863i
\(97\) −15.7347 + 4.21610i −1.59762 + 0.428080i −0.944322 0.329022i \(-0.893281\pi\)
−0.653296 + 0.757103i \(0.726614\pi\)
\(98\) −4.42808 8.97370i −0.447304 0.906481i
\(99\) −3.79734 3.79734i −0.381647 0.381647i
\(100\) 0.0975020 0.168878i 0.00975020 0.0168878i
\(101\) 8.39661 + 14.5434i 0.835494 + 1.44712i 0.893627 + 0.448810i \(0.148152\pi\)
−0.0581328 + 0.998309i \(0.518515\pi\)
\(102\) 0.974413 3.63656i 0.0964813 0.360073i
\(103\) 0.962454 0.0948334 0.0474167 0.998875i \(-0.484901\pi\)
0.0474167 + 0.998875i \(0.484901\pi\)
\(104\) 7.02173 7.23748i 0.688538 0.709693i
\(105\) −1.48186 1.21582i −0.144615 0.118652i
\(106\) −0.389532 0.104375i −0.0378347 0.0101378i
\(107\) −5.96703 10.3352i −0.576854 0.999141i −0.995837 0.0911468i \(-0.970947\pi\)
0.418983 0.907994i \(-0.362387\pi\)
\(108\) 0.0217876 0.0377371i 0.00209651 0.00363126i
\(109\) 3.42240 3.42240i 0.327807 0.327807i −0.523945 0.851752i \(-0.675540\pi\)
0.851752 + 0.523945i \(0.175540\pi\)
\(110\) −5.37233 + 1.43951i −0.512231 + 0.137252i
\(111\) −0.172749 0.644708i −0.0163966 0.0611930i
\(112\) 1.06075 + 10.7564i 0.100231 + 1.01638i
\(113\) 6.78443 11.7510i 0.638226 1.10544i −0.347596 0.937644i \(-0.613002\pi\)
0.985822 0.167795i \(-0.0536647\pi\)
\(114\) 6.74588 3.89474i 0.631810 0.364776i
\(115\) 4.45429 + 1.19352i 0.415365 + 0.111297i
\(116\) 0.0262063i 0.00243319i
\(117\) −3.14941 1.75533i −0.291163 0.162280i
\(118\) 6.72131i 0.618747i
\(119\) 5.66332 4.05933i 0.519156 0.372118i
\(120\) 1.01311 + 1.75476i 0.0924839 + 0.160187i
\(121\) −15.4496 8.91981i −1.40451 0.810892i
\(122\) −15.2769 15.2769i −1.38310 1.38310i
\(123\) 2.11401 + 7.88960i 0.190614 + 0.711381i
\(124\) −0.0993241 0.370682i −0.00891956 0.0332883i
\(125\) 4.85398 4.85398i 0.434153 0.434153i
\(126\) 3.53962 1.33271i 0.315334 0.118728i
\(127\) 11.3554 6.55606i 1.00763 0.581757i 0.0971344 0.995271i \(-0.469032\pi\)
0.910497 + 0.413515i \(0.135699\pi\)
\(128\) 3.02024 11.2717i 0.266954 0.996285i
\(129\) 4.73820 0.417175
\(130\) −3.20528 + 1.91580i −0.281122 + 0.168027i
\(131\) 6.96325i 0.608382i 0.952611 + 0.304191i \(0.0983861\pi\)
−0.952611 + 0.304191i \(0.901614\pi\)
\(132\) 0.0605661 0.226036i 0.00527160 0.0196739i
\(133\) 14.2243 + 2.34665i 1.23340 + 0.203480i
\(134\) −5.74442 3.31654i −0.496242 0.286506i
\(135\) 0.512287 0.512287i 0.0440906 0.0440906i
\(136\) −7.11466 + 1.90637i −0.610077 + 0.163470i
\(137\) −0.989826 + 0.265223i −0.0845665 + 0.0226595i −0.300854 0.953670i \(-0.597272\pi\)
0.216288 + 0.976330i \(0.430605\pi\)
\(138\) −6.43409 + 6.43409i −0.547706 + 0.547706i
\(139\) −13.5680 7.83346i −1.15082 0.664426i −0.201732 0.979441i \(-0.564657\pi\)
−0.949087 + 0.315015i \(0.897990\pi\)
\(140\) 0.0135957 0.0824109i 0.00114905 0.00696499i
\(141\) 1.55861 5.81682i 0.131259 0.489865i
\(142\) 22.7115i 1.90591i
\(143\) −18.7766 4.72792i −1.57018 0.395369i
\(144\) −4.08525 −0.340438
\(145\) −0.112770 + 0.420862i −0.00936500 + 0.0349507i
\(146\) −5.32821 + 3.07624i −0.440966 + 0.254592i
\(147\) 6.62906 + 2.24845i 0.546756 + 0.185449i
\(148\) 0.0205657 0.0205657i 0.00169049 0.00169049i
\(149\) 3.05630 + 11.4063i 0.250382 + 0.934438i 0.970602 + 0.240692i \(0.0773743\pi\)
−0.720220 + 0.693746i \(0.755959\pi\)
\(150\) 1.65576 + 6.17937i 0.135192 + 0.504543i
\(151\) −8.50103 8.50103i −0.691804 0.691804i 0.270825 0.962629i \(-0.412704\pi\)
−0.962629 + 0.270825i \(0.912704\pi\)
\(152\) −13.1978 7.61976i −1.07048 0.618044i
\(153\) 1.31681 + 2.28077i 0.106457 + 0.184390i
\(154\) 16.5086 11.8329i 1.33030 0.953526i
\(155\) 6.38040i 0.512486i
\(156\) −0.00237685 0.157094i −0.000190301 0.0125776i
\(157\) 0.627679i 0.0500942i −0.999686 0.0250471i \(-0.992026\pi\)
0.999686 0.0250471i \(-0.00797357\pi\)
\(158\) −6.58857 1.76540i −0.524158 0.140448i
\(159\) 0.244307 0.141050i 0.0193748 0.0111860i
\(160\) −0.0892761 + 0.154631i −0.00705789 + 0.0122246i
\(161\) −16.7592 + 1.65272i −1.32081 + 0.130252i
\(162\) 0.369991 + 1.38083i 0.0290693 + 0.108488i
\(163\) 12.2260 3.27594i 0.957613 0.256592i 0.254023 0.967198i \(-0.418246\pi\)
0.703590 + 0.710607i \(0.251579\pi\)
\(164\) −0.251672 + 0.251672i −0.0196523 + 0.0196523i
\(165\) 1.94533 3.36941i 0.151444 0.262308i
\(166\) −2.44977 4.24312i −0.190139 0.329330i
\(167\) 14.4241 + 3.86492i 1.11617 + 0.299076i 0.769332 0.638849i \(-0.220589\pi\)
0.346837 + 0.937926i \(0.387256\pi\)
\(168\) −5.72053 4.69355i −0.441349 0.362115i
\(169\) −12.9940 + 0.393293i −0.999542 + 0.0302533i
\(170\) 2.72757 0.209195
\(171\) −1.41029 + 5.26328i −0.107848 + 0.402493i
\(172\) 0.103234 + 0.178806i 0.00787150 + 0.0136338i
\(173\) 6.31043 10.9300i 0.479773 0.830991i −0.519958 0.854192i \(-0.674052\pi\)
0.999731 + 0.0232010i \(0.00738576\pi\)
\(174\) −0.607922 0.607922i −0.0460864 0.0460864i
\(175\) −4.88515 + 10.7853i −0.369283 + 0.815291i
\(176\) −21.1913 + 5.67819i −1.59735 + 0.428010i
\(177\) −3.32463 3.32463i −0.249895 0.249895i
\(178\) 7.38212 + 4.26207i 0.553313 + 0.319456i
\(179\) −9.45522 + 5.45897i −0.706716 + 0.408023i −0.809844 0.586645i \(-0.800448\pi\)
0.103128 + 0.994668i \(0.467115\pi\)
\(180\) 0.0304937 + 0.00817077i 0.00227287 + 0.000609013i
\(181\) −5.94105 −0.441595 −0.220797 0.975320i \(-0.570866\pi\)
−0.220797 + 0.975320i \(0.570866\pi\)
\(182\) 8.48939 10.6722i 0.629275 0.791075i
\(183\) 15.1131 1.11719
\(184\) 17.1953 + 4.60746i 1.26765 + 0.339666i
\(185\) 0.418773 0.241779i 0.0307888 0.0177759i
\(186\) 10.9030 + 6.29485i 0.799446 + 0.461560i
\(187\) 10.0007 + 10.0007i 0.731326 + 0.731326i
\(188\) 0.253469 0.0679167i 0.0184861 0.00495333i
\(189\) −1.09162 + 2.41005i −0.0794040 + 0.175306i
\(190\) 3.99045 + 3.99045i 0.289498 + 0.289498i
\(191\) −0.805155 + 1.39457i −0.0582590 + 0.100907i −0.893684 0.448697i \(-0.851888\pi\)
0.835425 + 0.549604i \(0.185222\pi\)
\(192\) 3.90909 + 6.77075i 0.282115 + 0.488637i
\(193\) −6.36607 + 23.7585i −0.458240 + 1.71017i 0.220144 + 0.975467i \(0.429347\pi\)
−0.678384 + 0.734707i \(0.737319\pi\)
\(194\) 23.2868 1.67190
\(195\) 0.637829 2.53309i 0.0456759 0.181399i
\(196\) 0.0595811 + 0.299150i 0.00425579 + 0.0213679i
\(197\) −4.77159 1.27854i −0.339962 0.0910925i 0.0847991 0.996398i \(-0.472975\pi\)
−0.424761 + 0.905306i \(0.639642\pi\)
\(198\) 3.83849 + 6.64846i 0.272789 + 0.472485i
\(199\) −2.30866 + 3.99871i −0.163656 + 0.283461i −0.936177 0.351528i \(-0.885662\pi\)
0.772521 + 0.634989i \(0.218995\pi\)
\(200\) 8.85011 8.85011i 0.625797 0.625797i
\(201\) 4.48192 1.20093i 0.316130 0.0847068i
\(202\) −6.21335 23.1885i −0.437170 1.63154i
\(203\) −0.156156 1.58349i −0.0109600 0.111139i
\(204\) −0.0573799 + 0.0993850i −0.00401740 + 0.00695834i
\(205\) −5.12472 + 2.95876i −0.357926 + 0.206649i
\(206\) −1.32898 0.356100i −0.0925946 0.0248106i
\(207\) 6.36512i 0.442406i
\(208\) −12.6433 + 7.55693i −0.876656 + 0.523979i
\(209\) 29.2623i 2.02411i
\(210\) 1.59634 + 2.22712i 0.110158 + 0.153686i
\(211\) −3.39083 5.87308i −0.233434 0.404320i 0.725382 0.688346i \(-0.241663\pi\)
−0.958816 + 0.284026i \(0.908330\pi\)
\(212\) 0.0106457 + 0.00614629i 0.000731149 + 0.000422129i
\(213\) 11.2340 + 11.2340i 0.769743 + 0.769743i
\(214\) 4.41550 + 16.4789i 0.301837 + 1.12647i
\(215\) 0.888460 + 3.31578i 0.0605924 + 0.226134i
\(216\) 1.97762 1.97762i 0.134560 0.134560i
\(217\) 8.21035 + 21.8062i 0.557355 + 1.48030i
\(218\) −5.99200 + 3.45948i −0.405830 + 0.234306i
\(219\) 1.11391 4.15718i 0.0752713 0.280916i
\(220\) 0.169536 0.0114301
\(221\) 8.29434 + 4.62286i 0.557937 + 0.310967i
\(222\) 0.954146i 0.0640381i
\(223\) 5.00651 18.6845i 0.335260 1.25121i −0.568326 0.822803i \(-0.692409\pi\)
0.903587 0.428406i \(-0.140925\pi\)
\(224\) 0.106138 0.643361i 0.00709165 0.0429864i
\(225\) −3.87557 2.23756i −0.258371 0.149171i
\(226\) −13.7159 + 13.7159i −0.912367 + 0.912367i
\(227\) 11.5655 3.09897i 0.767631 0.205686i 0.146306 0.989239i \(-0.453262\pi\)
0.621324 + 0.783553i \(0.286595\pi\)
\(228\) −0.229348 + 0.0614536i −0.0151889 + 0.00406987i
\(229\) −0.755536 + 0.755536i −0.0499272 + 0.0499272i −0.731630 0.681702i \(-0.761240\pi\)
0.681702 + 0.731630i \(0.261240\pi\)
\(230\) −5.70901 3.29610i −0.376441 0.217338i
\(231\) −2.31276 + 14.0189i −0.152168 + 0.922374i
\(232\) −0.435333 + 1.62469i −0.0285810 + 0.106666i
\(233\) 16.2619i 1.06535i 0.846318 + 0.532677i \(0.178814\pi\)
−0.846318 + 0.532677i \(0.821186\pi\)
\(234\) 3.69934 + 3.58906i 0.241833 + 0.234624i
\(235\) 4.36285 0.284601
\(236\) 0.0530266 0.197898i 0.00345173 0.0128820i
\(237\) 4.13221 2.38573i 0.268416 0.154970i
\(238\) −9.32198 + 3.50985i −0.604254 + 0.227510i
\(239\) 15.1795 15.1795i 0.981878 0.981878i −0.0179604 0.999839i \(-0.505717\pi\)
0.999839 + 0.0179604i \(0.00571728\pi\)
\(240\) −0.766026 2.85885i −0.0494468 0.184538i
\(241\) −3.31373 12.3670i −0.213456 0.796630i −0.986704 0.162526i \(-0.948036\pi\)
0.773248 0.634104i \(-0.218631\pi\)
\(242\) 18.0329 + 18.0329i 1.15920 + 1.15920i
\(243\) −0.866025 0.500000i −0.0555556 0.0320750i
\(244\) 0.329278 + 0.570326i 0.0210799 + 0.0365114i
\(245\) −0.330441 + 5.06061i −0.0211111 + 0.323310i
\(246\) 11.6763i 0.744456i
\(247\) 5.37139 + 18.8979i 0.341773 + 1.20245i
\(248\) 24.6308i 1.56406i
\(249\) 3.31057 + 0.887065i 0.209799 + 0.0562155i
\(250\) −8.49844 + 4.90658i −0.537489 + 0.310319i
\(251\) −3.61972 + 6.26954i −0.228475 + 0.395730i −0.957356 0.288910i \(-0.906707\pi\)
0.728881 + 0.684640i \(0.240041\pi\)
\(252\) −0.114732 + 0.0113144i −0.00722746 + 0.000712739i
\(253\) −8.84703 33.0176i −0.556208 2.07580i
\(254\) −18.1056 + 4.85137i −1.13604 + 0.304402i
\(255\) −1.34917 + 1.34917i −0.0844880 + 0.0844880i
\(256\) −0.522655 + 0.905265i −0.0326659 + 0.0565790i
\(257\) −1.90293 3.29597i −0.118701 0.205597i 0.800552 0.599263i \(-0.204540\pi\)
−0.919253 + 0.393667i \(0.871206\pi\)
\(258\) −6.54263 1.75309i −0.407326 0.109143i
\(259\) −1.12011 + 1.36520i −0.0696005 + 0.0848296i
\(260\) 0.109488 0.0311201i 0.00679019 0.00192999i
\(261\) 0.601405 0.0372261
\(262\) 2.57634 9.61504i 0.159167 0.594019i
\(263\) 2.01647 + 3.49263i 0.124341 + 0.215365i 0.921475 0.388437i \(-0.126985\pi\)
−0.797134 + 0.603802i \(0.793652\pi\)
\(264\) 7.50971 13.0072i 0.462191 0.800538i
\(265\) 0.144517 + 0.144517i 0.00887759 + 0.00887759i
\(266\) −18.7731 8.50318i −1.15105 0.521363i
\(267\) −5.75969 + 1.54330i −0.352487 + 0.0944486i
\(268\) 0.142970 + 0.142970i 0.00873325 + 0.00873325i
\(269\) 6.03395 + 3.48370i 0.367897 + 0.212405i 0.672539 0.740062i \(-0.265204\pi\)
−0.304643 + 0.952467i \(0.598537\pi\)
\(270\) −0.896921 + 0.517838i −0.0545849 + 0.0315146i
\(271\) 8.12317 + 2.17660i 0.493447 + 0.132219i 0.496957 0.867775i \(-0.334451\pi\)
−0.00350987 + 0.999994i \(0.501117\pi\)
\(272\) 10.7590 0.652358
\(273\) 1.07970 + 9.47809i 0.0653465 + 0.573640i
\(274\) 1.46491 0.0884983
\(275\) −23.2137 6.22008i −1.39984 0.375085i
\(276\) 0.240202 0.138680i 0.0144584 0.00834758i
\(277\) −8.34222 4.81638i −0.501236 0.289388i 0.227988 0.973664i \(-0.426785\pi\)
−0.729224 + 0.684275i \(0.760119\pi\)
\(278\) 15.8367 + 15.8367i 0.949821 + 0.949821i
\(279\) −8.50675 + 2.27938i −0.509286 + 0.136463i
\(280\) 2.21187 4.88330i 0.132185 0.291833i
\(281\) −9.81783 9.81783i −0.585683 0.585683i 0.350777 0.936459i \(-0.385918\pi\)
−0.936459 + 0.350777i \(0.885918\pi\)
\(282\) −4.30435 + 7.45535i −0.256320 + 0.443959i
\(283\) 0.916453 + 1.58734i 0.0544775 + 0.0943578i 0.891978 0.452079i \(-0.149317\pi\)
−0.837501 + 0.546436i \(0.815984\pi\)
\(284\) −0.179178 + 0.668703i −0.0106323 + 0.0396802i
\(285\) −3.94767 −0.233840
\(286\) 24.1780 + 13.4756i 1.42967 + 0.796831i
\(287\) 13.7074 16.7067i 0.809120 0.986163i
\(288\) 0.238057 + 0.0637871i 0.0140276 + 0.00375869i
\(289\) 5.03204 + 8.71576i 0.296003 + 0.512692i
\(290\) 0.311430 0.539413i 0.0182878 0.0316754i
\(291\) −11.5186 + 11.5186i −0.675233 + 0.675233i
\(292\) 0.181150 0.0485389i 0.0106010 0.00284052i
\(293\) 7.17194 + 26.7660i 0.418989 + 1.56369i 0.776709 + 0.629860i \(0.216888\pi\)
−0.357719 + 0.933829i \(0.616446\pi\)
\(294\) −8.32168 5.55741i −0.485330 0.324115i
\(295\) 1.70317 2.94997i 0.0991622 0.171754i
\(296\) 1.61662 0.933357i 0.0939642 0.0542503i
\(297\) −5.18727 1.38992i −0.300996 0.0806516i
\(298\) 16.8809i 0.977883i
\(299\) −11.7742 19.6992i −0.680922 1.13923i
\(300\) 0.195004i 0.0112586i
\(301\) −7.30324 10.1890i −0.420952 0.587285i
\(302\) 8.59314 + 14.8838i 0.494480 + 0.856464i
\(303\) 14.5434 + 8.39661i 0.835494 + 0.482373i
\(304\) 15.7404 + 15.7404i 0.902776 + 0.902776i
\(305\) 2.83386 + 10.5761i 0.162267 + 0.605587i
\(306\) −0.974413 3.63656i −0.0557035 0.207888i
\(307\) 16.7091 16.7091i 0.953641 0.953641i −0.0453311 0.998972i \(-0.514434\pi\)
0.998972 + 0.0453311i \(0.0144343\pi\)
\(308\) −0.579421 + 0.218160i −0.0330156 + 0.0124308i
\(309\) 0.833510 0.481227i 0.0474167 0.0273761i
\(310\) −2.36069 + 8.81023i −0.134078 + 0.500387i
\(311\) −1.88740 −0.107025 −0.0535124 0.998567i \(-0.517042\pi\)
−0.0535124 + 0.998567i \(0.517042\pi\)
\(312\) 2.46226 9.77871i 0.139398 0.553610i
\(313\) 4.73972i 0.267905i −0.990988 0.133953i \(-0.957233\pi\)
0.990988 0.133953i \(-0.0427670\pi\)
\(314\) −0.232236 + 0.866715i −0.0131058 + 0.0489116i
\(315\) −1.89124 0.312006i −0.106559 0.0175796i
\(316\) 0.180062 + 0.103959i 0.0101293 + 0.00584813i
\(317\) 12.0340 12.0340i 0.675897 0.675897i −0.283172 0.959069i \(-0.591387\pi\)
0.959069 + 0.283172i \(0.0913868\pi\)
\(318\) −0.389532 + 0.104375i −0.0218439 + 0.00585305i
\(319\) 3.11965 0.835908i 0.174667 0.0468019i
\(320\) −4.00516 + 4.00516i −0.223895 + 0.223895i
\(321\) −10.3352 5.96703i −0.576854 0.333047i
\(322\) 23.7531 + 3.91865i 1.32371 + 0.218378i
\(323\) 3.71416 13.8614i 0.206662 0.771271i
\(324\) 0.0435751i 0.00242084i
\(325\) −16.1334 + 0.244101i −0.894922 + 0.0135403i
\(326\) −18.0940 −1.00214
\(327\) 1.25269 4.67509i 0.0692737 0.258533i
\(328\) −19.7834 + 11.4219i −1.09235 + 0.630671i
\(329\) −14.9109 + 5.61414i −0.822063 + 0.309518i
\(330\) −3.93281 + 3.93281i −0.216494 + 0.216494i
\(331\) −4.49452 16.7738i −0.247041 0.921969i −0.972347 0.233542i \(-0.924968\pi\)
0.725306 0.688427i \(-0.241698\pi\)
\(332\) 0.0386540 + 0.144259i 0.00212141 + 0.00791722i
\(333\) −0.471959 0.471959i −0.0258632 0.0258632i
\(334\) −18.4872 10.6736i −1.01157 0.584032i
\(335\) 1.68081 + 2.91125i 0.0918324 + 0.159058i
\(336\) 6.29682 + 8.78493i 0.343520 + 0.479257i
\(337\) 10.9597i 0.597011i 0.954408 + 0.298506i \(0.0964882\pi\)
−0.954408 + 0.298506i \(0.903512\pi\)
\(338\) 18.0880 + 4.26462i 0.983860 + 0.231965i
\(339\) 13.5689i 0.736960i
\(340\) −0.0803086 0.0215186i −0.00435535 0.00116701i
\(341\) −40.9586 + 23.6475i −2.21803 + 1.28058i
\(342\) 3.89474 6.74588i 0.210603 0.364776i
\(343\) −5.38268 17.7208i −0.290637 0.956833i
\(344\) 3.42979 + 12.8002i 0.184922 + 0.690138i
\(345\) 4.45429 1.19352i 0.239811 0.0642572i
\(346\) −12.7576 + 12.7576i −0.685853 + 0.685853i
\(347\) −1.04935 + 1.81754i −0.0563323 + 0.0975704i −0.892816 0.450421i \(-0.851274\pi\)
0.836484 + 0.547991i \(0.184607\pi\)
\(348\) 0.0131032 + 0.0226953i 0.000702403 + 0.00121660i
\(349\) −4.33364 1.16119i −0.231974 0.0621573i 0.140959 0.990015i \(-0.454981\pi\)
−0.372933 + 0.927858i \(0.621648\pi\)
\(350\) 10.7360 13.0851i 0.573864 0.699430i
\(351\) −3.60514 + 0.0545462i −0.192428 + 0.00291146i
\(352\) 1.32352 0.0705440
\(353\) 3.60851 13.4671i 0.192061 0.716783i −0.800946 0.598736i \(-0.795670\pi\)
0.993008 0.118047i \(-0.0376634\pi\)
\(354\) 3.36066 + 5.82083i 0.178617 + 0.309373i
\(355\) −5.75505 + 9.96804i −0.305446 + 0.529049i
\(356\) −0.183729 0.183729i −0.00973764 0.00973764i
\(357\) 2.87491 6.34714i 0.152157 0.335926i
\(358\) 15.0758 4.03954i 0.796780 0.213497i
\(359\) 14.5777 + 14.5777i 0.769383 + 0.769383i 0.977998 0.208615i \(-0.0668956\pi\)
−0.208615 + 0.977998i \(0.566896\pi\)
\(360\) 1.75476 + 1.01311i 0.0924839 + 0.0533956i
\(361\) 9.25874 5.34554i 0.487302 0.281344i
\(362\) 8.20356 + 2.19814i 0.431169 + 0.115531i
\(363\) −17.8396 −0.936338
\(364\) −0.334152 + 0.247249i −0.0175143 + 0.0129594i
\(365\) 3.11805 0.163206
\(366\) −20.8686 5.59173i −1.09082 0.292284i
\(367\) 6.13097 3.53972i 0.320034 0.184772i −0.331374 0.943500i \(-0.607512\pi\)
0.651408 + 0.758728i \(0.274179\pi\)
\(368\) −22.5194 13.0016i −1.17390 0.677753i
\(369\) 5.77559 + 5.77559i 0.300665 + 0.300665i
\(370\) −0.667708 + 0.178912i −0.0347125 + 0.00930119i
\(371\) −0.679878 0.307948i −0.0352975 0.0159879i
\(372\) −0.271358 0.271358i −0.0140693 0.0140693i
\(373\) −8.61866 + 14.9280i −0.446257 + 0.772941i −0.998139 0.0609820i \(-0.980577\pi\)
0.551881 + 0.833923i \(0.313910\pi\)
\(374\) −10.1091 17.5094i −0.522728 0.905392i
\(375\) 1.77668 6.63066i 0.0917474 0.342406i
\(376\) 16.8423 0.868573
\(377\) 1.86127 1.11248i 0.0958603 0.0572959i
\(378\) 2.39904 2.92397i 0.123393 0.150393i
\(379\) 4.36936 + 1.17077i 0.224439 + 0.0601382i 0.369286 0.929316i \(-0.379602\pi\)
−0.144847 + 0.989454i \(0.546269\pi\)
\(380\) −0.0860102 0.148974i −0.00441223 0.00764220i
\(381\) 6.55606 11.3554i 0.335877 0.581757i
\(382\) 1.62776 1.62776i 0.0832833 0.0832833i
\(383\) 27.6971 7.42141i 1.41525 0.379216i 0.531456 0.847086i \(-0.321645\pi\)
0.883798 + 0.467870i \(0.154978\pi\)
\(384\) −3.02024 11.2717i −0.154126 0.575205i
\(385\) −10.2440 + 1.01022i −0.522084 + 0.0514855i
\(386\) 17.5809 30.4510i 0.894843 1.54991i
\(387\) 4.10340 2.36910i 0.208587 0.120428i
\(388\) −0.685642 0.183717i −0.0348082 0.00932682i
\(389\) 6.44786i 0.326919i −0.986550 0.163460i \(-0.947735\pi\)
0.986550 0.163460i \(-0.0522654\pi\)
\(390\) −1.81795 + 3.26177i −0.0920556 + 0.165166i
\(391\) 16.7633i 0.847754i
\(392\) −1.27563 + 19.5359i −0.0644290 + 0.986710i
\(393\) 3.48162 + 6.03035i 0.175625 + 0.304191i
\(394\) 6.11569 + 3.53089i 0.308104 + 0.177884i
\(395\) 2.44436 + 2.44436i 0.122989 + 0.122989i
\(396\) −0.0605661 0.226036i −0.00304356 0.0113587i
\(397\) 7.70578 + 28.7583i 0.386742 + 1.44334i 0.835403 + 0.549638i \(0.185234\pi\)
−0.448661 + 0.893702i \(0.648099\pi\)
\(398\) 4.66734 4.66734i 0.233953 0.233953i
\(399\) 13.4919 5.07990i 0.675441 0.254313i
\(400\) −15.8327 + 9.14100i −0.791634 + 0.457050i
\(401\) −5.89581 + 22.0035i −0.294423 + 1.09880i 0.647252 + 0.762276i \(0.275918\pi\)
−0.941675 + 0.336524i \(0.890749\pi\)
\(402\) −6.63308 −0.330828
\(403\) −22.1109 + 22.7902i −1.10142 + 1.13526i
\(404\) 0.731767i 0.0364068i
\(405\) 0.187510 0.699797i 0.00931745 0.0347732i
\(406\) −0.370252 + 2.24430i −0.0183753 + 0.111383i
\(407\) −3.10417 1.79219i −0.153868 0.0888356i
\(408\) −5.20829 + 5.20829i −0.257849 + 0.257849i
\(409\) −2.36322 + 0.633222i −0.116854 + 0.0313108i −0.316772 0.948502i \(-0.602599\pi\)
0.199918 + 0.979813i \(0.435932\pi\)
\(410\) 8.17107 2.18943i 0.403540 0.108128i
\(411\) −0.724603 + 0.724603i −0.0357420 + 0.0357420i
\(412\) 0.0363203 + 0.0209695i 0.00178937 + 0.00103309i
\(413\) −2.02485 + 12.2737i −0.0996365 + 0.603951i
\(414\) −2.35504 + 8.78913i −0.115744 + 0.431962i
\(415\) 2.48306i 0.121889i
\(416\) 0.854748 0.242946i 0.0419075 0.0119114i
\(417\) −15.6669 −0.767213
\(418\) 10.8268 40.4061i 0.529555 1.97633i
\(419\) 16.9152 9.76598i 0.826361 0.477100i −0.0262443 0.999656i \(-0.508355\pi\)
0.852605 + 0.522556i \(0.175021\pi\)
\(420\) −0.0294312 0.0781678i −0.00143610 0.00381420i
\(421\) 14.8560 14.8560i 0.724035 0.724035i −0.245389 0.969425i \(-0.578916\pi\)
0.969425 + 0.245389i \(0.0789158\pi\)
\(422\) 2.50915 + 9.36428i 0.122144 + 0.455846i
\(423\) −1.55861 5.81682i −0.0757823 0.282823i
\(424\) 0.557889 + 0.557889i 0.0270935 + 0.0270935i
\(425\) 10.2067 + 5.89287i 0.495100 + 0.285846i
\(426\) −11.3558 19.6687i −0.550188 0.952954i
\(427\) −23.2947 32.4993i −1.12731 1.57275i
\(428\) 0.520028i 0.0251365i
\(429\) −18.6250 + 5.29381i −0.899224 + 0.255588i
\(430\) 4.90723i 0.236648i
\(431\) 13.8720 + 3.71698i 0.668188 + 0.179041i 0.576939 0.816788i \(-0.304247\pi\)
0.0912498 + 0.995828i \(0.470914\pi\)
\(432\) −3.53793 + 2.04263i −0.170219 + 0.0982759i
\(433\) 18.2103 31.5412i 0.875131 1.51577i 0.0185084 0.999829i \(-0.494108\pi\)
0.856623 0.515943i \(-0.172558\pi\)
\(434\) −3.26894 33.1484i −0.156914 1.59117i
\(435\) 0.112770 + 0.420862i 0.00540689 + 0.0201788i
\(436\) 0.203717 0.0545859i 0.00975630 0.00261419i
\(437\) −24.5248 + 24.5248i −1.17318 + 1.17318i
\(438\) −3.07624 + 5.32821i −0.146989 + 0.254592i
\(439\) −16.0130 27.7354i −0.764259 1.32374i −0.940637 0.339414i \(-0.889771\pi\)
0.176378 0.984323i \(-0.443562\pi\)
\(440\) 10.5106 + 2.81629i 0.501071 + 0.134262i
\(441\) 6.86516 1.36732i 0.326912 0.0651104i
\(442\) −9.74262 9.45220i −0.463409 0.449595i
\(443\) 13.4249 0.637834 0.318917 0.947783i \(-0.396681\pi\)
0.318917 + 0.947783i \(0.396681\pi\)
\(444\) 0.00752756 0.0280932i 0.000357242 0.00133325i
\(445\) −2.16000 3.74123i −0.102394 0.177351i
\(446\) −13.8262 + 23.9477i −0.654691 + 1.13396i
\(447\) 8.34997 + 8.34997i 0.394940 + 0.394940i
\(448\) 8.53452 18.8422i 0.403218 0.890213i
\(449\) 18.5886 4.98079i 0.877248 0.235058i 0.208029 0.978123i \(-0.433295\pi\)
0.669220 + 0.743065i \(0.266629\pi\)
\(450\) 4.52361 + 4.52361i 0.213245 + 0.213245i
\(451\) 37.9872 + 21.9319i 1.78875 + 1.03273i
\(452\) 0.512050 0.295632i 0.0240848 0.0139054i
\(453\) −11.6126 3.11159i −0.545609 0.146195i
\(454\) −17.1166 −0.803320
\(455\) −6.43029 + 2.53281i −0.301457 + 0.118740i
\(456\) −15.2395 −0.713656
\(457\) 24.5036 + 6.56571i 1.14623 + 0.307131i 0.781453 0.623964i \(-0.214479\pi\)
0.364776 + 0.931095i \(0.381146\pi\)
\(458\) 1.32281 0.763722i 0.0618107 0.0356864i
\(459\) 2.28077 + 1.31681i 0.106457 + 0.0614632i
\(460\) 0.142088 + 0.142088i 0.00662490 + 0.00662490i
\(461\) −23.2002 + 6.21648i −1.08054 + 0.289530i −0.754818 0.655935i \(-0.772275\pi\)
−0.325724 + 0.945465i \(0.605608\pi\)
\(462\) 8.38037 18.5019i 0.389890 0.860787i
\(463\) 1.96489 + 1.96489i 0.0913160 + 0.0913160i 0.751289 0.659973i \(-0.229432\pi\)
−0.659973 + 0.751289i \(0.729432\pi\)
\(464\) 1.22845 2.12773i 0.0570292 0.0987774i
\(465\) −3.19020 5.52559i −0.147942 0.256243i
\(466\) 6.01678 22.4549i 0.278722 1.04020i
\(467\) 1.05748 0.0489341 0.0244671 0.999701i \(-0.492211\pi\)
0.0244671 + 0.999701i \(0.492211\pi\)
\(468\) −0.0806056 0.134859i −0.00372599 0.00623387i
\(469\) −9.49070 7.78687i −0.438240 0.359564i
\(470\) −6.02434 1.61422i −0.277882 0.0744582i
\(471\) −0.313839 0.543586i −0.0144610 0.0250471i
\(472\) 6.57487 11.3880i 0.302633 0.524176i
\(473\) 17.9926 17.9926i 0.827299 0.827299i
\(474\) −6.58857 + 1.76540i −0.302623 + 0.0810876i
\(475\) 6.31123 + 23.5538i 0.289579 + 1.08072i
\(476\) 0.302160 0.0297977i 0.0138495 0.00136577i
\(477\) 0.141050 0.244307i 0.00645826 0.0111860i
\(478\) −26.5765 + 15.3439i −1.21558 + 0.701816i
\(479\) −4.87277 1.30565i −0.222643 0.0596569i 0.145773 0.989318i \(-0.453433\pi\)
−0.368416 + 0.929661i \(0.620100\pi\)
\(480\) 0.178552i 0.00814975i
\(481\) −2.33369 0.587618i −0.106407 0.0267931i
\(482\) 18.3028i 0.833668i
\(483\) −13.6876 + 9.81091i −0.622806 + 0.446412i
\(484\) −0.388682 0.673217i −0.0176674 0.0306008i
\(485\) −10.2205 5.90083i −0.464091 0.267943i
\(486\) 1.01084 + 1.01084i 0.0458524 + 0.0458524i
\(487\) 0.725342 + 2.70701i 0.0328684 + 0.122666i 0.980411 0.196964i \(-0.0631081\pi\)
−0.947542 + 0.319630i \(0.896441\pi\)
\(488\) 10.9398 + 40.8279i 0.495221 + 1.84819i
\(489\) 8.95004 8.95004i 0.404735 0.404735i
\(490\) 2.32866 6.86556i 0.105198 0.310154i
\(491\) −10.7778 + 6.22255i −0.486394 + 0.280820i −0.723077 0.690767i \(-0.757273\pi\)
0.236683 + 0.971587i \(0.423940\pi\)
\(492\) −0.0921183 + 0.343790i −0.00415301 + 0.0154993i
\(493\) −1.58387 −0.0713338
\(494\) −0.424886 28.0821i −0.0191165 1.26348i
\(495\) 3.89066i 0.174872i
\(496\) −9.31182 + 34.7522i −0.418113 + 1.56042i
\(497\) 6.84204 41.4733i 0.306907 1.86033i
\(498\) −4.24312 2.44977i −0.190139 0.109777i
\(499\) −6.23994 + 6.23994i −0.279338 + 0.279338i −0.832845 0.553507i \(-0.813289\pi\)
0.553507 + 0.832845i \(0.313289\pi\)
\(500\) 0.288932 0.0774191i 0.0129214 0.00346229i
\(501\) 14.4241 3.86492i 0.644420 0.172672i
\(502\) 7.31788 7.31788i 0.326613 0.326613i
\(503\) −13.6723 7.89370i −0.609617 0.351963i 0.163198 0.986593i \(-0.447819\pi\)
−0.772816 + 0.634631i \(0.781152\pi\)
\(504\) −7.30090 1.20446i −0.325208 0.0536510i
\(505\) −3.14890 + 11.7519i −0.140124 + 0.522951i
\(506\) 48.8649i 2.17231i
\(507\) −11.0565 + 6.83763i −0.491038 + 0.303670i
\(508\) 0.571362 0.0253501
\(509\) 6.32401 23.6015i 0.280307 1.04612i −0.671894 0.740647i \(-0.734519\pi\)
0.952201 0.305472i \(-0.0988142\pi\)
\(510\) 2.36214 1.36378i 0.104597 0.0603893i
\(511\) −10.6565 + 4.01233i −0.471418 + 0.177495i
\(512\) −15.4462 + 15.4462i −0.682634 + 0.682634i
\(513\) 1.41029 + 5.26328i 0.0622659 + 0.232380i
\(514\) 1.40813 + 5.25523i 0.0621101 + 0.231798i
\(515\) 0.493053 + 0.493053i 0.0217265 + 0.0217265i
\(516\) 0.178806 + 0.103234i 0.00787150 + 0.00454461i
\(517\) −16.1699 28.0070i −0.711150 1.23175i
\(518\) 2.05180 1.47068i 0.0901507 0.0646179i
\(519\) 12.6209i 0.553994i
\(520\) 7.30481 0.110523i 0.320337 0.00484674i
\(521\) 2.98806i 0.130909i −0.997856 0.0654547i \(-0.979150\pi\)
0.997856 0.0654547i \(-0.0208498\pi\)
\(522\) −0.830436 0.222515i −0.0363472 0.00973921i
\(523\) −23.5900 + 13.6197i −1.03152 + 0.595547i −0.917419 0.397922i \(-0.869731\pi\)
−0.114099 + 0.993469i \(0.536398\pi\)
\(524\) −0.151712 + 0.262773i −0.00662757 + 0.0114793i
\(525\) 1.16198 + 11.7829i 0.0507128 + 0.514248i
\(526\) −1.49215 5.56879i −0.0650610 0.242811i
\(527\) 22.4035 6.00299i 0.975910 0.261494i
\(528\) −15.5131 + 15.5131i −0.675121 + 0.675121i
\(529\) 8.75738 15.1682i 0.380756 0.659488i
\(530\) −0.146083 0.253022i −0.00634542 0.0109906i
\(531\) −4.54153 1.21690i −0.197086 0.0528090i
\(532\) 0.485657 + 0.398468i 0.0210559 + 0.0172758i
\(533\) 28.5584 + 7.19096i 1.23700 + 0.311475i
\(534\) 8.52414 0.368875
\(535\) 2.23776 8.35142i 0.0967466 0.361063i
\(536\) 6.48856 + 11.2385i 0.280263 + 0.485430i
\(537\) −5.45897 + 9.45522i −0.235572 + 0.408023i
\(538\) −7.04290 7.04290i −0.303641 0.303641i
\(539\) 33.7110 16.6347i 1.45203 0.716507i
\(540\) 0.0304937 0.00817077i 0.00131224 0.000351614i
\(541\) −5.00068 5.00068i −0.214996 0.214996i 0.591390 0.806386i \(-0.298579\pi\)
−0.806386 + 0.591390i \(0.798579\pi\)
\(542\) −10.4114 6.01100i −0.447206 0.258195i
\(543\) −5.14510 + 2.97052i −0.220797 + 0.127477i
\(544\) −0.626949 0.167990i −0.0268802 0.00720253i
\(545\) 3.50650 0.150202
\(546\) 2.01593 13.4871i 0.0862739 0.577194i
\(547\) −23.2544 −0.994288 −0.497144 0.867668i \(-0.665618\pi\)
−0.497144 + 0.867668i \(0.665618\pi\)
\(548\) −0.0431318 0.0115571i −0.00184250 0.000493696i
\(549\) 13.0884 7.55656i 0.558597 0.322506i
\(550\) 29.7527 + 17.1777i 1.26866 + 0.732460i
\(551\) −2.31721 2.31721i −0.0987164 0.0987164i
\(552\) 17.1953 4.60746i 0.731879 0.196106i
\(553\) −11.4995 5.20865i −0.489008 0.221494i
\(554\) 9.73714 + 9.73714i 0.413691 + 0.413691i
\(555\) 0.241779 0.418773i 0.0102629 0.0177759i
\(556\) −0.341344 0.591225i −0.0144762 0.0250735i
\(557\) −4.49356 + 16.7702i −0.190398 + 0.710576i 0.803012 + 0.595963i \(0.203230\pi\)
−0.993410 + 0.114613i \(0.963437\pi\)
\(558\) 12.5897 0.532964
\(559\) 8.31710 14.9225i 0.351776 0.631156i
\(560\) −4.96695 + 6.05376i −0.209892 + 0.255818i
\(561\) 13.6612 + 3.66052i 0.576778 + 0.154547i
\(562\) 9.92421 + 17.1892i 0.418627 + 0.725084i
\(563\) −9.17267 + 15.8875i −0.386582 + 0.669579i −0.991987 0.126338i \(-0.959678\pi\)
0.605405 + 0.795917i \(0.293011\pi\)
\(564\) 0.185552 0.185552i 0.00781314 0.00781314i
\(565\) 9.49545 2.54430i 0.399477 0.107039i
\(566\) −0.678159 2.53093i −0.0285052 0.106383i
\(567\) 0.259652 + 2.63298i 0.0109044 + 0.110575i
\(568\) −22.2167 + 38.4804i −0.932191 + 1.61460i
\(569\) −12.1394 + 7.00867i −0.508909 + 0.293819i −0.732385 0.680891i \(-0.761593\pi\)
0.223476 + 0.974709i \(0.428260\pi\)
\(570\) 5.45105 + 1.46061i 0.228319 + 0.0611780i
\(571\) 10.4239i 0.436226i 0.975924 + 0.218113i \(0.0699901\pi\)
−0.975924 + 0.218113i \(0.930010\pi\)
\(572\) −0.605567 0.587515i −0.0253200 0.0245652i
\(573\) 1.61031i 0.0672716i
\(574\) −25.1088 + 17.9974i −1.04802 + 0.751196i
\(575\) −14.2424 24.6685i −0.593947 1.02875i
\(576\) 6.77075 + 3.90909i 0.282115 + 0.162879i
\(577\) 11.2444 + 11.2444i 0.468111 + 0.468111i 0.901302 0.433191i \(-0.142612\pi\)
−0.433191 + 0.901302i \(0.642612\pi\)
\(578\) −3.72363 13.8968i −0.154882 0.578029i
\(579\) 6.36607 + 23.7585i 0.264565 + 0.987370i
\(580\) −0.0134252 + 0.0134252i −0.000557449 + 0.000557449i
\(581\) −3.19522 8.48634i −0.132560 0.352073i
\(582\) 20.1670 11.6434i 0.835948 0.482635i
\(583\) 0.392099 1.46333i 0.0162391 0.0606051i
\(584\) 12.0369 0.498090
\(585\) −0.714171 2.51264i −0.0295273 0.103885i
\(586\) 39.6128i 1.63639i
\(587\) −10.3083 + 38.4710i −0.425468 + 1.58787i 0.337432 + 0.941350i \(0.390442\pi\)
−0.762900 + 0.646517i \(0.776225\pi\)
\(588\) 0.201174 + 0.229281i 0.00829627 + 0.00945539i
\(589\) 41.5588 + 23.9940i 1.71240 + 0.988656i
\(590\) −3.44324 + 3.44324i −0.141756 + 0.141756i
\(591\) −4.77159 + 1.27854i −0.196277 + 0.0525923i
\(592\) −2.63379 + 0.705723i −0.108248 + 0.0290050i
\(593\) 23.4934 23.4934i 0.964759 0.964759i −0.0346408 0.999400i \(-0.511029\pi\)
0.999400 + 0.0346408i \(0.0110287\pi\)
\(594\) 6.64846 + 3.83849i 0.272789 + 0.157495i
\(595\) 4.98079 + 0.821703i 0.204192 + 0.0336865i
\(596\) −0.133179 + 0.497029i −0.00545521 + 0.0203591i
\(597\) 4.61731i 0.188974i
\(598\) 8.96966 + 31.5576i 0.366797 + 1.29048i
\(599\) −45.3452 −1.85276 −0.926378 0.376594i \(-0.877095\pi\)
−0.926378 + 0.376594i \(0.877095\pi\)
\(600\) 3.23936 12.0895i 0.132246 0.493551i
\(601\) 24.8361 14.3392i 1.01309 0.584906i 0.100993 0.994887i \(-0.467798\pi\)
0.912094 + 0.409981i \(0.134465\pi\)
\(602\) 6.31466 + 16.7714i 0.257366 + 0.683552i
\(603\) 3.28099 3.28099i 0.133612 0.133612i
\(604\) −0.135588 0.506021i −0.00551700 0.0205897i
\(605\) −3.34511 12.4841i −0.135998 0.507552i
\(606\) −16.9752 16.9752i −0.689570 0.689570i
\(607\) −8.50843 4.91234i −0.345347 0.199386i 0.317287 0.948329i \(-0.397228\pi\)
−0.662634 + 0.748944i \(0.730561\pi\)
\(608\) −0.671459 1.16300i −0.0272313 0.0471659i
\(609\) −0.926979 1.29326i −0.0375631 0.0524057i
\(610\) 15.6523i 0.633743i
\(611\) −15.5837 15.1192i −0.630449 0.611656i
\(612\) 0.114760i 0.00463889i
\(613\) −24.7029 6.61912i −0.997741 0.267344i −0.277242 0.960800i \(-0.589420\pi\)
−0.720499 + 0.693456i \(0.756087\pi\)
\(614\) −29.2547 + 16.8902i −1.18062 + 0.681632i
\(615\) −2.95876 + 5.12472i −0.119309 + 0.206649i
\(616\) −39.5458 + 3.89983i −1.59335 + 0.157129i
\(617\) 1.62469 + 6.06341i 0.0654074 + 0.244104i 0.990887 0.134693i \(-0.0430047\pi\)
−0.925480 + 0.378796i \(0.876338\pi\)
\(618\) −1.32898 + 0.356100i −0.0534595 + 0.0143244i
\(619\) −28.4665 + 28.4665i −1.14416 + 1.14416i −0.156484 + 0.987680i \(0.550016\pi\)
−0.987680 + 0.156484i \(0.949984\pi\)
\(620\) 0.139013 0.240778i 0.00558291 0.00966989i
\(621\) −3.18256 5.51236i −0.127712 0.221203i
\(622\) 2.60617 + 0.698322i 0.104498 + 0.0280002i
\(623\) 12.1964 + 10.0069i 0.488640 + 0.400916i
\(624\) −7.17097 + 12.8662i −0.287068 + 0.515058i
\(625\) −17.4024 −0.696094
\(626\) −1.75366 + 6.54474i −0.0700902 + 0.261580i
\(627\) 14.6311 + 25.3419i 0.584311 + 1.01206i
\(628\) 0.0136756 0.0236868i 0.000545715 0.000945206i
\(629\) 1.24296 + 1.24296i 0.0495599 + 0.0495599i
\(630\) 2.49603 + 1.13057i 0.0994443 + 0.0450429i
\(631\) 12.2380 3.27917i 0.487188 0.130542i −0.00685968 0.999976i \(-0.502184\pi\)
0.494048 + 0.869435i \(0.335517\pi\)
\(632\) 9.43616 + 9.43616i 0.375350 + 0.375350i
\(633\) −5.87308 3.39083i −0.233434 0.134773i
\(634\) −21.0693 + 12.1644i −0.836771 + 0.483110i
\(635\) 9.17583 + 2.45866i 0.364132 + 0.0975688i
\(636\) 0.0122926 0.000487432
\(637\) 18.7175 16.9309i 0.741614 0.670827i
\(638\) −4.61697 −0.182788
\(639\) 15.3460 + 4.11194i 0.607078 + 0.162666i
\(640\) 7.32156 4.22710i 0.289410 0.167091i
\(641\) 24.0436 + 13.8816i 0.949666 + 0.548290i 0.892977 0.450102i \(-0.148612\pi\)
0.0566885 + 0.998392i \(0.481946\pi\)
\(642\) 12.0634 + 12.0634i 0.476103 + 0.476103i
\(643\) −17.1125 + 4.58528i −0.674851 + 0.180826i −0.579939 0.814660i \(-0.696924\pi\)
−0.0949121 + 0.995486i \(0.530257\pi\)
\(644\) −0.668454 0.302774i −0.0263408 0.0119310i
\(645\) 2.42732 + 2.42732i 0.0955755 + 0.0955755i
\(646\) −10.2572 + 17.7660i −0.403565 + 0.698995i
\(647\) −3.33450 5.77553i −0.131093 0.227059i 0.793005 0.609215i \(-0.208515\pi\)
−0.924098 + 0.382155i \(0.875182\pi\)
\(648\) 0.723860 2.70148i 0.0284359 0.106124i
\(649\) −25.2495 −0.991131
\(650\) 22.3678 + 5.63217i 0.877337 + 0.220912i
\(651\) 18.0135 + 14.7796i 0.706004 + 0.579258i
\(652\) 0.532748 + 0.142749i 0.0208640 + 0.00559050i
\(653\) −0.491840 0.851891i −0.0192472 0.0333371i 0.856241 0.516576i \(-0.172794\pi\)
−0.875489 + 0.483239i \(0.839460\pi\)
\(654\) −3.45948 + 5.99200i −0.135277 + 0.234306i
\(655\) −3.56718 + 3.56718i −0.139381 + 0.139381i
\(656\) 32.2310 8.63627i 1.25841 0.337190i
\(657\) −1.11391 4.15718i −0.0434579 0.162187i
\(658\) 22.6665 2.23527i 0.883632 0.0871398i
\(659\) −10.5833 + 18.3308i −0.412267 + 0.714067i −0.995137 0.0984983i \(-0.968596\pi\)
0.582871 + 0.812565i \(0.301929\pi\)
\(660\) 0.146822 0.0847679i 0.00571505 0.00329959i
\(661\) 16.8983 + 4.52790i 0.657270 + 0.176115i 0.572013 0.820244i \(-0.306163\pi\)
0.0852561 + 0.996359i \(0.472829\pi\)
\(662\) 24.8246i 0.964835i
\(663\) 9.49454 0.143653i 0.368737 0.00557904i
\(664\) 9.58557i 0.371992i
\(665\) 6.08477 + 8.48908i 0.235957 + 0.329193i
\(666\) 0.477073 + 0.826314i 0.0184862 + 0.0320190i
\(667\) 3.31516 + 1.91401i 0.128364 + 0.0741107i
\(668\) 0.460116 + 0.460116i 0.0178024 + 0.0178024i
\(669\) −5.00651 18.6845i −0.193563 0.722386i
\(670\) −1.24377 4.64181i −0.0480510 0.179329i
\(671\) 57.3897 57.3897i 2.21551 2.21551i
\(672\) −0.229762 0.610236i −0.00886327 0.0235404i
\(673\) 21.4934 12.4092i 0.828511 0.478341i −0.0248316 0.999692i \(-0.507905\pi\)
0.853343 + 0.521351i \(0.174572\pi\)
\(674\) 4.05498 15.1334i 0.156192 0.582917i
\(675\) −4.47512 −0.172248
\(676\) −0.498927 0.268267i −0.0191895 0.0103180i
\(677\) 18.0191i 0.692531i −0.938137 0.346266i \(-0.887450\pi\)
0.938137 0.346266i \(-0.112550\pi\)
\(678\) −5.02036 + 18.7362i −0.192806 + 0.719561i
\(679\) 42.5239 + 7.01536i 1.63192 + 0.269225i
\(680\) −4.62135 2.66814i −0.177221 0.102318i
\(681\) 8.46655 8.46655i 0.324439 0.324439i
\(682\) 65.3061 17.4987i 2.50070 0.670060i
\(683\) −31.7978 + 8.52018i −1.21671 + 0.326016i −0.809390 0.587271i \(-0.800202\pi\)
−0.407317 + 0.913287i \(0.633536\pi\)
\(684\) −0.167894 + 0.167894i −0.00641961 + 0.00641961i
\(685\) −0.642945 0.371205i −0.0245657 0.0141830i
\(686\) 0.876001 + 26.4609i 0.0334459 + 1.01028i
\(687\) −0.276545 + 1.03208i −0.0105509 + 0.0393764i
\(688\) 19.3567i 0.737968i
\(689\) −0.0153875 1.01701i −0.000586218 0.0387451i
\(690\) −6.59220 −0.250961
\(691\) 4.58957 17.1285i 0.174595 0.651599i −0.822025 0.569452i \(-0.807156\pi\)
0.996620 0.0821472i \(-0.0261778\pi\)
\(692\) 0.476275 0.274977i 0.0181053 0.0104531i
\(693\) 5.00653 + 13.2971i 0.190182 + 0.505114i
\(694\) 2.12145 2.12145i 0.0805291 0.0805291i
\(695\) −2.93771 10.9637i −0.111434 0.415876i
\(696\) 0.435333 + 1.62469i 0.0165013 + 0.0615836i
\(697\) −15.2107 15.2107i −0.576145 0.576145i
\(698\) 5.55437 + 3.20682i 0.210236 + 0.121380i
\(699\) 8.13097 + 14.0833i 0.307541 + 0.532677i
\(700\) −0.419337 + 0.300570i −0.0158494 + 0.0113605i
\(701\) 41.2421i 1.55769i 0.627214 + 0.778847i \(0.284195\pi\)
−0.627214 + 0.778847i \(0.715805\pi\)
\(702\) 4.99825 + 1.25855i 0.188647 + 0.0475010i
\(703\) 3.63691i 0.137169i
\(704\) 40.5550 + 10.8667i 1.52848 + 0.409554i
\(705\) 3.77834 2.18142i 0.142300 0.0821572i
\(706\) −9.96545 + 17.2607i −0.375054 + 0.649613i
\(707\) −4.36040 44.2162i −0.163990 1.66292i
\(708\) −0.0530266 0.197898i −0.00199286 0.00743745i
\(709\) −23.1654 + 6.20716i −0.869996 + 0.233115i −0.666086 0.745875i \(-0.732032\pi\)
−0.203910 + 0.978990i \(0.565365\pi\)
\(710\) 11.6348 11.6348i 0.436647 0.436647i
\(711\) 2.38573 4.13221i 0.0894720 0.154970i
\(712\) −8.33842 14.4426i −0.312495 0.541258i
\(713\) −54.1465 14.5085i −2.02780 0.543348i
\(714\) −6.31815 + 7.70061i −0.236451 + 0.288188i
\(715\) −7.19697 12.0411i −0.269151 0.450311i
\(716\) −0.475751 −0.0177796
\(717\) 5.55607 20.7355i 0.207495 0.774383i
\(718\) −14.7357 25.5229i −0.549930 0.952507i
\(719\) −10.7383 + 18.5992i −0.400469 + 0.693633i −0.993783 0.111338i \(-0.964486\pi\)
0.593313 + 0.804972i \(0.297820\pi\)
\(720\) −2.09282 2.09282i −0.0779948 0.0779948i
\(721\) −2.31957 1.05064i −0.0863851 0.0391278i
\(722\) −14.7625 + 3.95561i −0.549404 + 0.147212i
\(723\) −9.05329 9.05329i −0.336696 0.336696i
\(724\) −0.224198 0.129441i −0.00833226 0.00481063i
\(725\) 2.33079 1.34568i 0.0865633 0.0499774i
\(726\) 24.6334 + 6.60051i 0.914232 + 0.244968i
\(727\) −16.2550 −0.602863 −0.301431 0.953488i \(-0.597464\pi\)
−0.301431 + 0.953488i \(0.597464\pi\)
\(728\) −24.8234 + 9.77761i −0.920015 + 0.362382i
\(729\) −1.00000 −0.0370370
\(730\) −4.30549 1.15365i −0.159353 0.0426986i
\(731\) −10.8068 + 6.23928i −0.399702 + 0.230768i
\(732\) 0.570326 + 0.329278i 0.0210799 + 0.0121705i
\(733\) 37.7313 + 37.7313i 1.39364 + 1.39364i 0.817001 + 0.576637i \(0.195635\pi\)
0.576637 + 0.817001i \(0.304365\pi\)
\(734\) −9.77547 + 2.61933i −0.360819 + 0.0966812i
\(735\) 2.24413 + 4.54783i 0.0827761 + 0.167749i
\(736\) 1.10925 + 1.10925i 0.0408874 + 0.0408874i
\(737\) 12.4591 21.5797i 0.458935 0.794899i
\(738\) −5.83817 10.1120i −0.214906 0.372228i
\(739\) −11.5735 + 43.1929i −0.425738 + 1.58888i 0.336567 + 0.941660i \(0.390734\pi\)
−0.762305 + 0.647218i \(0.775932\pi\)
\(740\) 0.0210711 0.000774587
\(741\) 14.1007 + 13.6804i 0.518003 + 0.502562i
\(742\) 0.824856 + 0.676772i 0.0302814 + 0.0248451i
\(743\) −43.8408 11.7471i −1.60836 0.430959i −0.660808 0.750555i \(-0.729786\pi\)
−0.947554 + 0.319596i \(0.896453\pi\)
\(744\) −12.3154 21.3309i −0.451504 0.782028i
\(745\) −4.27758 + 7.40899i −0.156718 + 0.271444i
\(746\) 17.4241 17.4241i 0.637941 0.637941i
\(747\) 3.31057 0.887065i 0.121128 0.0324560i
\(748\) 0.159508 + 0.595290i 0.00583217 + 0.0217660i
\(749\) 3.09870 + 31.4221i 0.113224 + 1.14814i
\(750\) −4.90658 + 8.49844i −0.179163 + 0.310319i
\(751\) 27.9904 16.1603i 1.02138 0.589696i 0.106880 0.994272i \(-0.465914\pi\)
0.914505 + 0.404575i \(0.132581\pi\)
\(752\) −23.7632 6.36732i −0.866554 0.232192i
\(753\) 7.23944i 0.263820i
\(754\) −2.98170 + 0.847494i −0.108587 + 0.0308639i
\(755\) 8.70994i 0.316987i
\(756\) −0.0937039 + 0.0671647i −0.00340798 + 0.00244276i
\(757\) −14.5363 25.1776i −0.528331 0.915097i −0.999454 0.0330294i \(-0.989484\pi\)
0.471123 0.882068i \(-0.343849\pi\)
\(758\) −5.60015 3.23325i −0.203407 0.117437i
\(759\) −24.1705 24.1705i −0.877335 0.877335i
\(760\) −2.85756 10.6646i −0.103655 0.386845i
\(761\) −7.58218 28.2971i −0.274854 1.02577i −0.955939 0.293564i \(-0.905159\pi\)
0.681086 0.732204i \(-0.261508\pi\)
\(762\) −13.2542 + 13.2542i −0.480149 + 0.480149i
\(763\) −11.9841 + 4.51219i −0.433855 + 0.163352i
\(764\) −0.0607685 + 0.0350847i −0.00219853 + 0.00126932i
\(765\) −0.493829 + 1.84299i −0.0178544 + 0.0666336i
\(766\) −40.9907 −1.48105
\(767\) −16.3065 + 4.63482i −0.588793 + 0.167354i
\(768\) 1.04531i 0.0377194i
\(769\) −13.2029 + 49.2739i −0.476109 + 1.77686i 0.141027 + 0.990006i \(0.454960\pi\)
−0.617136 + 0.786857i \(0.711707\pi\)
\(770\) 14.5190 + 2.39526i 0.523228 + 0.0863193i
\(771\) −3.29597 1.90293i −0.118701 0.0685323i
\(772\) −0.757877 + 0.757877i −0.0272766 + 0.0272766i
\(773\) 7.92985 2.12480i 0.285217 0.0764236i −0.113374