Properties

Label 273.2.by.d.202.3
Level $273$
Weight $2$
Character 273.202
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 202.3
Character \(\chi\) \(=\) 273.202
Dual form 273.2.by.d.223.3

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

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

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 −0.711524 0.702661i \(-0.751995\pi\)
−0.264867 + 0.964285i \(0.585328\pi\)
\(3\) 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 −0.583216 0.812317i \(-0.698206\pi\)
0.812317 + 0.583216i \(0.198206\pi\)
\(6\) −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 0.776525 + 0.630086i \(0.216981\pi\)
−0.357447 + 0.933933i \(0.616353\pi\)
\(12\) 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 0.660985 0.750399i \(-0.270139\pi\)
−0.980357 + 0.197230i \(0.936805\pi\)
\(18\) −1.01084 1.01084i −0.238256 0.238256i
\(19\) −5.26328 1.41029i −1.20748 0.323543i −0.401707 0.915768i \(-0.631583\pi\)
−0.805773 + 0.592225i \(0.798250\pi\)
\(20\) 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 0.948742 0.316051i \(-0.102357\pi\)
0.200663 + 0.979660i \(0.435690\pi\)
\(24\) 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 −0.836755 0.547578i \(-0.815550\pi\)
0.892594 + 0.450862i \(0.148883\pi\)
\(30\) −0.896921 + 0.517838i −0.163755 + 0.0945438i
\(31\) −6.22737 + 6.22737i −1.11847 + 1.11847i −0.126503 + 0.991966i \(0.540375\pi\)
−0.991966 + 0.126503i \(0.959625\pi\)
\(32\) 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 0.978671 0.205435i \(-0.0658608\pi\)
−0.950271 + 0.311424i \(0.899194\pi\)
\(38\) 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 −0.909029 0.416733i \(-0.863175\pi\)
0.578876 0.815416i \(-0.303492\pi\)
\(42\) 3.73176 0.615645i 0.575823 0.0949960i
\(43\) 4.10340 2.36910i 0.625762 0.361284i −0.153347 0.988172i \(-0.549005\pi\)
0.779109 + 0.626888i \(0.215672\pi\)
\(44\) 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 0.945819 0.324695i \(-0.105262\pi\)
−0.324695 + 0.945819i \(0.605262\pi\)
\(48\) −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 0.840361 + 0.542028i \(0.182343\pi\)
−0.998787 + 0.0492295i \(0.984323\pi\)
\(60\) 0.0223230 0.0223230i 0.00288188 0.00288188i
\(61\) 13.0884 7.55656i 1.67579 0.967519i 0.711497 0.702690i \(-0.248018\pi\)
0.964295 0.264829i \(-0.0853156\pi\)
\(62\) 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 0.0255714 0.999673i \(-0.491859\pi\)
0.521982 + 0.852957i \(0.325193\pi\)
\(68\) −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 −0.0781668 0.996940i \(-0.524907\pi\)
0.566165 0.824292i \(-0.308427\pi\)
\(72\) 2.70148 + 0.723860i 0.318373 + 0.0853077i
\(73\) 3.04327 + 3.04327i 0.356188 + 0.356188i 0.862406 0.506218i \(-0.168957\pi\)
−0.506218 + 0.862406i \(0.668957\pi\)
\(74\) −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 −0.561477 0.827492i \(-0.689767\pi\)
0.827492 + 0.561477i \(0.189767\pi\)
\(84\) −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 −0.550817 0.834626i \(-0.685684\pi\)
−0.0597085 + 0.998216i \(0.519017\pi\)
\(90\) −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 −0.653296 0.757103i \(-0.726614\pi\)
−0.944322 + 0.329022i \(0.893281\pi\)
\(98\) −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 −0.0581328 0.998309i \(-0.518515\pi\)
0.893627 0.448810i \(-0.148152\pi\)
\(102\) 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 0.418983 + 0.907994i \(0.362387\pi\)
−0.995837 + 0.0911468i \(0.970947\pi\)
\(108\) 0.0217876 + 0.0377371i 0.00209651 + 0.00363126i
\(109\) 3.42240 + 3.42240i 0.327807 + 0.327807i 0.851752 0.523945i \(-0.175540\pi\)
−0.523945 + 0.851752i \(0.675540\pi\)
\(110\) −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 0.985822 + 0.167795i \(0.0536647\pi\)
−0.347596 + 0.937644i \(0.613002\pi\)
\(114\) 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 0.910497 0.413515i \(-0.135699\pi\)
0.0971344 + 0.995271i \(0.469032\pi\)
\(128\) 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 \(-0.901614\pi\)
0.952611 0.304191i \(-0.0983861\pi\)
\(132\) 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 0.216288 0.976330i \(-0.430605\pi\)
−0.300854 + 0.953670i \(0.597272\pi\)
\(138\) −6.43409 6.43409i −0.547706 0.547706i
\(139\) −13.5680 + 7.83346i −1.15082 + 0.664426i −0.949087 0.315015i \(-0.897990\pi\)
−0.201732 + 0.979441i \(0.564657\pi\)
\(140\) 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 −0.720220 0.693746i \(-0.755959\pi\)
0.970602 0.240692i \(-0.0773743\pi\)
\(150\) 1.65576 6.17937i 0.135192 0.504543i
\(151\) −8.50103 + 8.50103i −0.691804 + 0.691804i −0.962629 0.270825i \(-0.912704\pi\)
0.270825 + 0.962629i \(0.412704\pi\)
\(152\) −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 \(0.00797357\pi\)
−0.999686 + 0.0250471i \(0.992026\pi\)
\(158\) −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 0.703590 0.710607i \(-0.251579\pi\)
0.254023 + 0.967198i \(0.418246\pi\)
\(164\) −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 0.346837 0.937926i \(-0.387256\pi\)
0.769332 + 0.638849i \(0.220589\pi\)
\(168\) −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 0.999731 0.0232010i \(-0.00738576\pi\)
−0.519958 + 0.854192i \(0.674052\pi\)
\(174\) −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 0.103128 0.994668i \(-0.467115\pi\)
−0.809844 + 0.586645i \(0.800448\pi\)
\(180\) 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 0.835425 0.549604i \(-0.185222\pi\)
−0.893684 + 0.448697i \(0.851888\pi\)
\(192\) 3.90909 6.77075i 0.282115 0.488637i
\(193\) −6.36607 23.7585i −0.458240 1.71017i −0.678384 0.734707i \(-0.737319\pi\)
0.220144 0.975467i \(-0.429347\pi\)
\(194\) 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 −0.424761 0.905306i \(-0.639642\pi\)
0.0847991 + 0.996398i \(0.472975\pi\)
\(198\) 3.83849 6.64846i 0.272789 0.472485i
\(199\) −2.30866 3.99871i −0.163656 0.283461i 0.772521 0.634989i \(-0.218995\pi\)
−0.936177 + 0.351528i \(0.885662\pi\)
\(200\) 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 −0.958816 0.284026i \(-0.908330\pi\)
0.725382 + 0.688346i \(0.241663\pi\)
\(212\) 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 0.903587 + 0.428406i \(0.140925\pi\)
−0.568326 + 0.822803i \(0.692409\pi\)
\(224\) 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 0.621324 0.783553i \(-0.286595\pi\)
0.146306 + 0.989239i \(0.453262\pi\)
\(228\) −0.229348 0.0614536i −0.0151889 0.00406987i
\(229\) −0.755536 0.755536i −0.0499272 0.0499272i 0.681702 0.731630i \(-0.261240\pi\)
−0.731630 + 0.681702i \(0.761240\pi\)
\(230\) −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 \(-0.821186\pi\)
0.846318 0.532677i \(-0.178814\pi\)
\(234\) 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 0.999839 0.0179604i \(-0.00571728\pi\)
−0.0179604 + 0.999839i \(0.505717\pi\)
\(240\) −0.766026 + 2.85885i −0.0494468 + 0.184538i
\(241\) −3.31373 + 12.3670i −0.213456 + 0.796630i 0.773248 + 0.634104i \(0.218631\pi\)
−0.986704 + 0.162526i \(0.948036\pi\)
\(242\) 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 0.728881 0.684640i \(-0.240041\pi\)
−0.957356 + 0.288910i \(0.906707\pi\)
\(252\) −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 −0.919253 0.393667i \(-0.871206\pi\)
0.800552 + 0.599263i \(0.204540\pi\)
\(258\) −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 −0.797134 0.603802i \(-0.793652\pi\)
0.921475 + 0.388437i \(0.126985\pi\)
\(264\) 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 −0.304643 0.952467i \(-0.598537\pi\)
0.672539 + 0.740062i \(0.265204\pi\)
\(270\) −0.896921 0.517838i −0.0545849 0.0315146i
\(271\) 8.12317 2.17660i 0.493447 0.132219i −0.00350987 0.999994i \(-0.501117\pi\)
0.496957 + 0.867775i \(0.334451\pi\)
\(272\) 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 −0.729224 0.684275i \(-0.760119\pi\)
0.227988 + 0.973664i \(0.426785\pi\)
\(278\) 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 −0.936459 0.350777i \(-0.885918\pi\)
0.350777 + 0.936459i \(0.385918\pi\)
\(282\) −4.30435 7.45535i −0.256320 0.443959i
\(283\) 0.916453 1.58734i 0.0544775 0.0943578i −0.837501 0.546436i \(-0.815984\pi\)
0.891978 + 0.452079i \(0.149317\pi\)
\(284\) −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 −0.357719 0.933829i \(-0.616446\pi\)
0.776709 0.629860i \(-0.216888\pi\)
\(294\) −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 0.998972 0.0453311i \(-0.0144343\pi\)
−0.0453311 + 0.998972i \(0.514434\pi\)
\(308\) −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 \(0.0427670\pi\)
−0.990988 + 0.133953i \(0.957233\pi\)
\(314\) −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 0.959069 0.283172i \(-0.0913868\pi\)
−0.283172 + 0.959069i \(0.591387\pi\)
\(318\) −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 0.725306 + 0.688427i \(0.241698\pi\)
−0.972347 + 0.233542i \(0.924968\pi\)
\(332\) 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 \(-0.903512\pi\)
0.954408 0.298506i \(-0.0964882\pi\)
\(338\) 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 0.836484 0.547991i \(-0.184607\pi\)
−0.892816 + 0.450421i \(0.851274\pi\)
\(348\) 0.0131032 0.0226953i 0.000702403 0.00121660i
\(349\) −4.33364 + 1.16119i −0.231974 + 0.0621573i −0.372933 0.927858i \(-0.621648\pi\)
0.140959 + 0.990015i \(0.454981\pi\)
\(350\) 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 0.993008 + 0.118047i \(0.0376634\pi\)
−0.800946 + 0.598736i \(0.795670\pi\)
\(354\) 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 −0.208615 0.977998i \(-0.566896\pi\)
0.977998 + 0.208615i \(0.0668956\pi\)
\(360\) 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 0.651408 0.758728i \(-0.274179\pi\)
−0.331374 + 0.943500i \(0.607512\pi\)
\(368\) −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 0.551881 0.833923i \(-0.313910\pi\)
−0.998139 + 0.0609820i \(0.980577\pi\)
\(374\) −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 −0.144847 0.989454i \(-0.546269\pi\)
0.369286 + 0.929316i \(0.379602\pi\)
\(380\) −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 0.883798 0.467870i \(-0.154978\pi\)
0.531456 + 0.847086i \(0.321645\pi\)
\(384\) −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 \(0.0522654\pi\)
−0.986550 + 0.163460i \(0.947735\pi\)
\(390\) −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 −0.448661 0.893702i \(-0.648099\pi\)
0.835403 0.549638i \(-0.185234\pi\)
\(398\) 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 −0.941675 0.336524i \(-0.890749\pi\)
0.647252 0.762276i \(-0.275918\pi\)
\(402\) −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 0.199918 0.979813i \(-0.435932\pi\)
−0.316772 + 0.948502i \(0.602599\pi\)
\(410\) 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 0.852605 0.522556i \(-0.175021\pi\)
−0.0262443 + 0.999656i \(0.508355\pi\)
\(420\) −0.0294312 + 0.0781678i −0.00143610 + 0.00381420i
\(421\) 14.8560 + 14.8560i 0.724035 + 0.724035i 0.969425 0.245389i \(-0.0789158\pi\)
−0.245389 + 0.969425i \(0.578916\pi\)
\(422\) 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 0.0912498 0.995828i \(-0.470914\pi\)
0.576939 + 0.816788i \(0.304247\pi\)
\(432\) −3.53793 2.04263i −0.170219 0.0982759i
\(433\) 18.2103 + 31.5412i 0.875131 + 1.51577i 0.856623 + 0.515943i \(0.172558\pi\)
0.0185084 + 0.999829i \(0.494108\pi\)
\(434\) −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 0.176378 + 0.984323i \(0.443562\pi\)
−0.940637 + 0.339414i \(0.889771\pi\)
\(440\) 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 0.669220 0.743065i \(-0.266629\pi\)
0.208029 + 0.978123i \(0.433295\pi\)
\(450\) 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 0.364776 0.931095i \(-0.381146\pi\)
0.781453 + 0.623964i \(0.214479\pi\)
\(458\) 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 −0.325724 0.945465i \(-0.605608\pi\)
−0.754818 + 0.655935i \(0.772275\pi\)
\(462\) 8.38037 + 18.5019i 0.389890 + 0.860787i
\(463\) 1.96489 1.96489i 0.0913160 0.0913160i −0.659973 0.751289i \(-0.729432\pi\)
0.751289 + 0.659973i \(0.229432\pi\)
\(464\) 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 −0.368416 0.929661i \(-0.620100\pi\)
0.145773 + 0.989318i \(0.453433\pi\)
\(480\) 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 −0.947542 0.319630i \(-0.896441\pi\)
0.980411 + 0.196964i \(0.0631081\pi\)
\(488\) 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 0.236683 0.971587i \(-0.423940\pi\)
−0.723077 + 0.690767i \(0.757273\pi\)
\(492\) −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 0.553507 0.832845i \(-0.313289\pi\)
−0.832845 + 0.553507i \(0.813289\pi\)
\(500\) 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 −0.772816 0.634631i \(-0.781152\pi\)
0.163198 + 0.986593i \(0.447819\pi\)
\(504\) −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 0.952201 + 0.305472i \(0.0988142\pi\)
−0.671894 + 0.740647i \(0.734519\pi\)
\(510\) 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 \(0.0208498\pi\)
−0.997856 + 0.0654547i \(0.979150\pi\)
\(522\) −0.830436 + 0.222515i −0.0363472 + 0.00973921i
\(523\) −23.5900 13.6197i −1.03152 0.595547i −0.114099 0.993469i \(-0.536398\pi\)
−0.917419 + 0.397922i \(0.869731\pi\)
\(524\) −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 −0.806386 0.591390i \(-0.798579\pi\)
0.591390 + 0.806386i \(0.298579\pi\)
\(542\) −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 −0.993410 0.114613i \(-0.963437\pi\)
0.803012 0.595963i \(-0.203230\pi\)
\(558\) 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 0.605405 0.795917i \(-0.293011\pi\)
−0.991987 + 0.126338i \(0.959678\pi\)
\(564\) 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 0.223476 0.974709i \(-0.428260\pi\)
−0.732385 + 0.680891i \(0.761593\pi\)
\(570\) 5.45105 1.46061i 0.228319 0.0611780i
\(571\) 10.4239i 0.436226i −0.975924 0.218113i \(-0.930010\pi\)
0.975924 0.218113i \(-0.0699901\pi\)
\(572\) −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 −0.433191 0.901302i \(-0.642612\pi\)
0.901302 + 0.433191i \(0.142612\pi\)
\(578\) −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 −0.762900 0.646517i \(-0.776225\pi\)
0.337432 0.941350i \(-0.390442\pi\)
\(588\) 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 0.999400 0.0346408i \(-0.0110287\pi\)
−0.0346408 + 0.999400i \(0.511029\pi\)
\(594\) 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 0.912094 0.409981i \(-0.134465\pi\)
0.100993 + 0.994887i \(0.467798\pi\)
\(602\) 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 −0.662634 0.748944i \(-0.730561\pi\)
0.317287 + 0.948329i \(0.397228\pi\)
\(608\) −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 −0.720499 0.693456i \(-0.756087\pi\)
−0.277242 + 0.960800i \(0.589420\pi\)
\(614\) −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 −0.925480 0.378796i \(-0.876338\pi\)
0.990887 + 0.134693i \(0.0430047\pi\)
\(618\) −1.32898 0.356100i −0.0534595 0.0143244i
\(619\) −28.4665 28.4665i −1.14416 1.14416i −0.987680 0.156484i \(-0.949984\pi\)
−0.156484 0.987680i \(-0.550016\pi\)
\(620\) 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 0.494048 0.869435i \(-0.335517\pi\)
−0.00685968 + 0.999976i \(0.502184\pi\)
\(632\) 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 0.0566885 0.998392i \(-0.481946\pi\)
0.892977 + 0.450102i \(0.148612\pi\)
\(642\) 12.0634 12.0634i 0.476103 0.476103i
\(643\) −17.1125 4.58528i −0.674851 0.180826i −0.0949121 0.995486i \(-0.530257\pi\)
−0.579939 + 0.814660i \(0.696924\pi\)
\(644\) −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 −0.924098 0.382155i \(-0.875182\pi\)
0.793005 + 0.609215i \(0.208515\pi\)
\(648\) 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 −0.875489 0.483239i \(-0.839460\pi\)
0.856241 + 0.516576i \(0.172794\pi\)
\(654\) −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 0.582871 0.812565i \(-0.301929\pi\)
−0.995137 + 0.0984983i \(0.968596\pi\)
\(660\) 0.146822 + 0.0847679i 0.00571505 + 0.00329959i
\(661\) 16.8983 4.52790i 0.657270 0.176115i 0.0852561 0.996359i \(-0.472829\pi\)
0.572013 + 0.820244i \(0.306163\pi\)
\(662\) 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 0.853343 0.521351i \(-0.174572\pi\)
−0.0248316 + 0.999692i \(0.507905\pi\)
\(674\) 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 \(0.112550\pi\)
−0.938137 + 0.346266i \(0.887450\pi\)
\(678\) −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 −0.407317 0.913287i \(-0.633536\pi\)
−0.809390 + 0.587271i \(0.800202\pi\)
\(684\) −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 0.996620 + 0.0821472i \(0.0261778\pi\)
−0.822025 + 0.569452i \(0.807156\pi\)
\(692\) 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 \(-0.715805\pi\)
0.627214 0.778847i \(-0.284195\pi\)
\(702\) 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 −0.203910 0.978990i \(-0.565365\pi\)
−0.666086 + 0.745875i \(0.732032\pi\)
\(710\) 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 0.593313 0.804972i \(-0.297820\pi\)
−0.993783 + 0.111338i \(0.964486\pi\)
\(720\) −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 0.576637 0.817001i \(-0.304365\pi\)
0.817001 0.576637i \(-0.195635\pi\)
\(734\) −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 −0.762305 0.647218i \(-0.775932\pi\)
0.336567 0.941660i \(-0.390734\pi\)
\(740\) 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 −0.947554 0.319596i \(-0.896453\pi\)
−0.660808 + 0.750555i \(0.729786\pi\)
\(744\) −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 0.914505 0.404575i \(-0.132581\pi\)
0.106880 + 0.994272i \(0.465914\pi\)
\(752\) −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 0.471123 + 0.882068i \(0.343849\pi\)
−0.999454 + 0.0330294i \(0.989484\pi\)
\(758\) −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 0.681086 + 0.732204i \(0.261508\pi\)
−0.955939 + 0.293564i \(0.905159\pi\)
\(762\) −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 −0.617136 0.786857i \(-0.711707\pi\)
0.141027 0.990006i \(-0.454960\pi\)
\(770\) 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 0.398591