Properties

Label 273.2.by.c.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.c.223.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.38083 + 0.369991i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(0.0377371 - 0.0217876i) q^{4} +(-0.512287 + 0.512287i) q^{5} +(1.38083 + 0.369991i) q^{6} +(-1.54136 - 2.15040i) q^{7} +(1.97762 - 1.97762i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(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} +(-1.54136 - 2.15040i) 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} +(0.259652 + 2.63298i) 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} +(-0.105018 - 0.0475676i) 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} +(1.89124 + 0.312006i) 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} +(-1.33271 - 3.53962i) 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} +(-2.24845 + 6.62906i) 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} +(-7.30090 - 1.20446i) 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} +(1.09162 - 2.41005i) 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} +(-2.72691 + 0.268916i) 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} +(0.0671647 + 0.0937039i) 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} +(-7.83657 + 5.43950i) 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} +(0.652020 - 9.98549i) q^{98} +(-3.79734 + 3.79734i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} + 6q^{4} - 2q^{5} + 2q^{6} - 2q^{7} + 2q^{8} + 16q^{9} + O(q^{10}) \) \( 32q - 2q^{2} + 6q^{4} - 2q^{5} + 2q^{6} - 2q^{7} + 2q^{8} + 16q^{9} - 2q^{10} - 4q^{11} - 32q^{12} - 6q^{13} + 34q^{14} + 4q^{15} + 14q^{16} + 8q^{17} + 2q^{18} - 2q^{19} - 44q^{20} + 2q^{21} - 4q^{22} - 18q^{23} - 4q^{24} + 28q^{26} - 18q^{28} - 18q^{29} + 14q^{31} - 8q^{32} - 4q^{33} + 66q^{34} - 20q^{35} + 6q^{36} - 24q^{37} - 24q^{38} + 8q^{39} + 16q^{42} - 6q^{43} - 20q^{44} - 4q^{45} - 58q^{46} + 28q^{47} + 60q^{48} + 10q^{49} + 70q^{50} - 28q^{52} - 80q^{53} + 4q^{54} - 60q^{55} - 120q^{56} + 16q^{57} - 4q^{58} + 42q^{59} - 58q^{60} - 36q^{61} - 52q^{62} + 2q^{63} + 14q^{65} + 26q^{67} + 72q^{68} - 2q^{69} + 68q^{70} - 4q^{71} + 4q^{72} - 12q^{73} - 18q^{74} - 16q^{75} + 48q^{76} - 28q^{77} - 14q^{78} - 4q^{79} + 98q^{80} - 16q^{81} - 20q^{82} + 36q^{83} + 32q^{84} - 10q^{85} - 40q^{86} + 96q^{88} + 54q^{89} - 4q^{90} - 54q^{91} - 4q^{92} + 2q^{93} + 60q^{95} - 22q^{96} + 40q^{97} + 4q^{99} + O(q^{100}) \)

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 −0.812317 0.583216i \(-0.801794\pi\)
0.583216 + 0.812317i \(0.301794\pi\)
\(6\) 1.38083 + 0.369991i 0.563720 + 0.151048i
\(7\) −1.54136 2.15040i −0.582578 0.812775i
\(8\) 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 0.980357 0.197230i \(-0.0631946\pi\)
−0.660985 + 0.750399i \(0.729861\pi\)
\(18\) −1.01084 1.01084i −0.238256 0.238256i
\(19\) 5.26328 + 1.41029i 1.20748 + 0.323543i 0.805773 0.592225i \(-0.201750\pi\)
0.401707 + 0.915768i \(0.368417\pi\)
\(20\) −0.00817077 + 0.0304937i −0.00182704 + 0.00681861i
\(21\) 0.259652 + 2.63298i 0.0566608 + 0.574563i
\(22\) −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
\(28\) −0.105018 0.0475676i −0.0198466 0.00898944i
\(29\) 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 \(-0.459625\pi\)
0.991966 0.126503i \(-0.0403752\pi\)
\(32\) 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
\(35\) 1.89124 + 0.312006i 0.319678 + 0.0527387i
\(36\) 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 \(0.136825\pi\)
−0.578876 + 0.815416i \(0.696508\pi\)
\(42\) −1.33271 3.53962i −0.205642 0.546175i
\(43\) 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 0.324695 0.945819i \(-0.394738\pi\)
−0.945819 + 0.324695i \(0.894738\pi\)
\(48\) 3.53793 2.04263i 0.510656 0.294828i
\(49\) −2.24845 + 6.62906i −0.321207 + 0.947009i
\(50\) −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
\(56\) −7.30090 1.20446i −0.975624 0.160953i
\(57\) −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 \(-0.817657\pi\)
0.998787 0.0492295i \(-0.0156766\pi\)
\(60\) 0.0223230 0.0223230i 0.00288188 0.00288188i
\(61\) −13.0884 + 7.55656i −1.67579 + 0.967519i −0.711497 + 0.702690i \(0.751982\pi\)
−0.964295 + 0.264829i \(0.914684\pi\)
\(62\) −6.29485 + 10.9030i −0.799446 + 1.38468i
\(63\) 1.09162 2.41005i 0.137532 0.303638i
\(64\) 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
\(70\) −2.72691 + 0.268916i −0.325928 + 0.0321416i
\(71\) 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 0.506218 0.862406i \(-0.331043\pi\)
−0.862406 + 0.506218i \(0.831043\pi\)
\(74\) −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 \(-0.810233\pi\)
0.561477 + 0.827492i \(0.310233\pi\)
\(84\) 0.0671647 + 0.0937039i 0.00732827 + 0.0102239i
\(85\) −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 \(-0.480983\pi\)
0.550817 + 0.834626i \(0.314316\pi\)
\(90\) 1.03568 0.109170
\(91\) −7.83657 + 5.43950i −0.821496 + 0.570215i
\(92\) 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 \(-0.106719\pi\)
0.653296 + 0.757103i \(0.273386\pi\)
\(98\) 0.652020 9.98549i 0.0658640 1.00869i
\(99\) −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 \(0.481485\pi\)
−0.893627 + 0.448810i \(0.851848\pi\)
\(102\) 0.974413 + 3.63656i 0.0964813 + 0.360073i
\(103\) −0.962454 −0.0948334 −0.0474167 0.998875i \(-0.515099\pi\)
−0.0474167 + 0.998875i \(0.515099\pi\)
\(104\) −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
\(112\) 10.7564 1.06075i 1.01638 0.100231i
\(113\) 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
\(119\) 2.87491 6.34714i 0.263543 0.581842i
\(120\) 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
\(126\) −0.615645 + 3.73176i −0.0548460 + 0.332451i
\(127\) 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 \(0.0983861\pi\)
−0.952611 + 0.304191i \(0.901614\pi\)
\(132\) −0.0605661 0.226036i −0.00527160 0.0196739i
\(133\) −5.07990 13.4919i −0.440483 1.16990i
\(134\) −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 0.201732 0.979441i \(-0.435343\pi\)
0.949087 + 0.315015i \(0.102010\pi\)
\(140\) 0.0781678 0.0294312i 0.00660639 0.00248739i
\(141\) 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
\(147\) 5.26174 4.61671i 0.433981 0.380780i
\(148\) 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
\(154\) −8.38037 + 18.5019i −0.675310 + 1.49093i
\(155\) 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
\(161\) −1.65272 16.7592i −0.130252 1.32081i
\(162\) 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 −0.769332 0.638849i \(-0.779411\pi\)
−0.346837 + 0.937926i \(0.612744\pi\)
\(168\) 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 \(-0.325948\pi\)
−0.999731 + 0.0232010i \(0.992614\pi\)
\(174\) 0.607922 0.607922i 0.0460864 0.0460864i
\(175\) 9.62331 6.89776i 0.727454 0.521421i
\(176\) −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 \(-0.429134\pi\)
0.220797 + 0.975320i \(0.429134\pi\)
\(182\) 8.80837 10.4105i 0.652920 0.771676i
\(183\) 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
\(189\) −2.15040 + 1.54136i −0.156419 + 0.112117i
\(190\) 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 0.936177 0.351528i \(-0.114338\pi\)
−0.772521 + 0.634989i \(0.781005\pi\)
\(200\) 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
\(203\) −1.58349 + 0.156156i −0.111139 + 0.0109600i
\(204\) −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
\(210\) 2.49603 + 1.13057i 0.172243 + 0.0780166i
\(211\) −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
\(217\) −22.9899 3.79275i −1.56066 0.257469i
\(218\) −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 \(-0.859075\pi\)
0.568326 0.822803i \(-0.307591\pi\)
\(224\) −0.610236 + 0.229762i −0.0407731 + 0.0153516i
\(225\) −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 \(-0.546738\pi\)
−0.621324 + 0.783553i \(0.713405\pi\)
\(228\) −0.229348 0.0614536i −0.0151889 0.00406987i
\(229\) 0.755536 + 0.755536i 0.0499272 + 0.0499272i 0.731630 0.681702i \(-0.238760\pi\)
−0.681702 + 0.731630i \(0.738760\pi\)
\(230\) 5.70901 3.29610i 0.376441 0.217338i
\(231\) −13.2971 + 5.00653i −0.874883 + 0.329405i
\(232\) −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
\(238\) −1.62137 + 9.82800i −0.105098 + 0.637054i
\(239\) 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 \(-0.781369\pi\)
0.986704 0.162526i \(-0.0519642\pi\)
\(242\) 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
\(245\) −2.24413 4.54783i −0.143372 0.290550i
\(246\) 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 \(-0.0932928\pi\)
−0.728881 + 0.684640i \(0.759959\pi\)
\(252\) −0.0113144 0.114732i −0.000712739 0.00722746i
\(253\) −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 \(-0.795460\pi\)
0.919253 + 0.393667i \(0.128794\pi\)
\(258\) 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
\(266\) 12.0064 + 16.7505i 0.736157 + 1.02704i
\(267\) −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 \(-0.734796\pi\)
0.304643 + 0.952467i \(0.401463\pi\)
\(270\) −0.896921 0.517838i −0.0545849 0.0315146i
\(271\) −8.12317 + 2.17660i −0.493447 + 0.132219i −0.496957 0.867775i \(-0.665549\pi\)
0.00350987 + 0.999994i \(0.498883\pi\)
\(272\) −10.7590 −0.652358
\(273\) 9.50642 0.792464i 0.575355 0.0479621i
\(274\) 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
\(280\) 4.35719 3.12313i 0.260392 0.186643i
\(281\) −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 −0.891978 0.452079i \(-0.850683\pi\)
0.837501 + 0.546436i \(0.184016\pi\)
\(284\) −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 \(0.383554\pi\)
−0.776709 + 0.629860i \(0.783112\pi\)
\(294\) −5.55741 + 8.32168i −0.324115 + 0.485330i
\(295\) 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
\(301\) −11.4193 5.17233i −0.658198 0.298128i
\(302\) 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 \(-0.485566\pi\)
−0.998972 + 0.0453311i \(0.985566\pi\)
\(308\) 0.100779 0.610873i 0.00574239 0.0348077i
\(309\) 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 \(-0.482958\pi\)
0.0535124 + 0.998567i \(0.482958\pi\)
\(312\) 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
\(315\) 0.675414 + 1.79386i 0.0380553 + 0.101073i
\(316\) 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
\(322\) 8.48289 + 22.5301i 0.472733 + 1.25555i
\(323\) 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
\(329\) −2.59344 + 15.7203i −0.142981 + 0.866686i
\(330\) −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
\(336\) −9.84567 4.45956i −0.537126 0.243289i
\(337\) 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
\(343\) 17.7208 5.38268i 0.956833 0.290637i
\(344\) 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 −0.140959 0.990015i \(-0.545019\pi\)
0.372933 + 0.927858i \(0.378352\pi\)
\(350\) −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 \(-0.962337\pi\)
0.800946 0.598736i \(-0.204330\pi\)
\(354\) 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
\(357\) −5.66332 + 4.05933i −0.299735 + 0.214843i
\(358\) 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
\(364\) −0.177216 + 0.376011i −0.00928866 + 0.0197083i
\(365\) 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 \(-0.392488\pi\)
−0.651408 + 0.758728i \(0.725821\pi\)
\(368\) −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
\(371\) −0.434818 0.606630i −0.0225746 0.0314947i
\(372\) −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 −0.531456 0.847086i \(-0.678355\pi\)
−0.883798 + 0.467870i \(0.845022\pi\)
\(384\) 3.02024 11.2717i 0.154126 0.575205i
\(385\) 1.01022 + 10.2440i 0.0514855 + 0.522084i
\(386\) 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
\(392\) 8.66321 + 17.5564i 0.437558 + 0.886731i
\(393\) 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 \(0.351901\pi\)
−0.835403 + 0.549638i \(0.814766\pi\)
\(398\) −4.66734 4.66734i −0.233953 0.233953i
\(399\) −2.34665 + 14.2243i −0.117479 + 0.712106i
\(400\) −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
\(406\) 2.12875 0.801502i 0.105648 0.0397779i
\(407\) −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 \(-0.397401\pi\)
−0.199918 + 0.979813i \(0.564068\pi\)
\(410\) 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
\(413\) −11.6418 + 4.38329i −0.572855 + 0.215688i
\(414\) −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 \(-0.491645\pi\)
−0.852605 + 0.522556i \(0.824979\pi\)
\(420\) −0.0824109 0.0135957i −0.00402124 0.000663402i
\(421\) 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
\(427\) 36.4234 + 16.4979i 1.76265 + 0.798387i
\(428\) 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 \(-0.827442\pi\)
−0.0185084 0.999829i \(-0.505892\pi\)
\(434\) 33.1484 3.26894i 1.59117 0.156914i
\(435\) 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 \(-0.556438\pi\)
0.940637 0.339414i \(-0.110229\pi\)
\(440\) −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
\(448\) −16.8122 + 12.0506i −0.794304 + 0.569338i
\(449\) 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
\(455\) 1.22799 6.80116i 0.0575688 0.318843i
\(456\) −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 0.754818 0.655935i \(-0.227725\pi\)
0.325724 + 0.945465i \(0.394392\pi\)
\(462\) 16.5086 11.8329i 0.768048 0.550518i
\(463\) 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 \(-0.507789\pi\)
−0.0244671 + 0.999701i \(0.507789\pi\)
\(468\) 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
\(476\) −0.0297977 0.302160i −0.00136577 0.0138495i
\(477\) 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 \(-0.546567\pi\)
0.368416 + 0.929661i \(0.379900\pi\)
\(480\) 0.178552i 0.00814975i
\(481\) 2.33369 0.587618i 0.106407 0.0267931i
\(482\) 18.3028i 0.833668i
\(483\) −6.94832 + 15.3403i −0.316159 + 0.698007i
\(484\) −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
\(490\) 4.78142 + 5.44946i 0.216002 + 0.246182i
\(491\) −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
\(497\) −39.3380 + 14.8113i −1.76455 + 0.664377i
\(498\) −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 −0.163198 0.986593i \(-0.552181\pi\)
0.772816 + 0.634631i \(0.218848\pi\)
\(504\) −2.60736 6.92500i −0.116141 0.308464i
\(505\) −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 \(-0.901186\pi\)
0.671894 0.740647i \(-0.265481\pi\)
\(510\) −2.36214 1.36378i −0.104597 0.0603893i
\(511\) −1.85349 + 11.2350i −0.0819936 + 0.497007i
\(512\) −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
\(518\) −1.04157 + 2.29954i −0.0457639 + 0.101036i
\(519\) 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 \(-0.130269\pi\)
0.114099 + 0.993469i \(0.463602\pi\)
\(524\) 0.151712 + 0.262773i 0.00662757 + 0.0114793i
\(525\) −11.7829 + 1.16198i −0.514248 + 0.0507128i
\(526\) −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
\(539\) −37.5119 2.44941i −1.61575 0.105503i
\(540\) 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
\(546\) −12.8335 + 4.61155i −0.549224 + 0.197356i
\(547\) −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
\(553\) −7.35453 10.2606i −0.312746 0.436324i
\(554\) 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 0.991987 0.126338i \(-0.0403223\pi\)
−0.605405 + 0.795917i \(0.706989\pi\)
\(564\) 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
\(567\) 2.63298 0.259652i 0.110575 0.0109044i
\(568\) −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
\(574\) −12.7462 + 28.1406i −0.532015 + 1.17457i
\(575\) −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 \(-0.857388\pi\)
0.433191 + 0.901302i \(0.357388\pi\)
\(578\) −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
\(581\) 8.94700 + 1.47603i 0.371184 + 0.0612359i
\(582\) 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 \(0.223775\pi\)
−0.337432 + 0.941350i \(0.609558\pi\)
\(588\) 0.0979764 0.288862i 0.00404048 0.0119125i
\(589\) 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 \(-0.488971\pi\)
−0.999400 + 0.0346408i \(0.988971\pi\)
\(594\) −6.64846 + 3.83849i −0.272789 + 0.157495i
\(595\) 1.77878 + 4.72434i 0.0729228 + 0.193679i
\(596\) −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 \(-0.532202\pi\)
−0.912094 + 0.409981i \(0.865535\pi\)
\(602\) 17.6818 + 2.91705i 0.720656 + 0.118890i
\(603\) 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 \(-0.602772\pi\)
0.662634 + 0.748944i \(0.269439\pi\)
\(608\) 0.671459 1.16300i 0.0272313 0.0471659i
\(609\) 1.44942 + 0.656509i 0.0587334 + 0.0266031i
\(610\) 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
\(616\) −3.89983 39.5458i −0.157129 1.59335i
\(617\) 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 \(0.0500161\pi\)
0.156484 + 0.987680i \(0.449984\pi\)
\(620\) 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
\(630\) −1.59634 2.22712i −0.0635999 0.0887305i
\(631\) 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
\(637\) 23.7760 + 8.46756i 0.942041 + 0.335497i
\(638\) −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 0.579939 0.814660i \(-0.303076\pi\)
0.0949121 + 0.995486i \(0.469743\pi\)
\(644\) −0.427512 0.596437i −0.0168463 0.0235029i
\(645\) 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 \(-0.791485\pi\)
0.924098 + 0.382155i \(0.124818\pi\)
\(648\) 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
\(658\) −2.23527 22.6665i −0.0871398 0.883632i
\(659\) −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 −0.572013 0.820244i \(-0.693837\pi\)
−0.0852561 + 0.996359i \(0.527171\pi\)
\(662\) 24.8246i 0.964835i
\(663\) −9.49454 0.143653i −0.368737 0.00557904i
\(664\) 9.58557i 0.371992i
\(665\) 9.51411 + 4.30938i 0.368941 + 0.167110i
\(666\) 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
\(672\) 0.643361 + 0.106138i 0.0248182 + 0.00409437i
\(673\) 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 \(-0.887450\pi\)
0.938137 0.346266i \(-0.112550\pi\)
\(678\) 5.02036 + 18.7362i 0.192806 + 0.719561i
\(679\) −15.1865 40.3345i −0.582803 1.54789i
\(680\) −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
\(686\) −22.4778 + 13.9891i −0.858207 + 0.534106i
\(687\) −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 \(-0.973822\pi\)
0.822025 0.569452i \(-0.192844\pi\)
\(692\) −0.476275 0.274977i −0.0181053 0.0104531i
\(693\) 14.0189 + 2.31276i 0.532533 + 0.0878543i
\(694\) 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
\(700\) 0.212871 0.469970i 0.00804577 0.0177632i
\(701\) 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
\(707\) 44.2162 4.36040i 1.66292 0.163990i
\(708\) −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 0.993783 0.111338i \(-0.0355137\pi\)
−0.593313 + 0.804972i \(0.702180\pi\)
\(720\) 2.09282 2.09282i 0.0779948 0.0779948i
\(721\) 1.48348 + 2.06966i 0.0552478 + 0.0770783i
\(722\) −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 \(-0.402536\pi\)
0.301431 + 0.953488i \(0.402536\pi\)
\(728\) −4.74049 + 26.2551i −0.175694 + 0.973077i
\(729\) −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 \(0.695635\pi\)
−0.817001 + 0.576637i \(0.804365\pi\)
\(734\) 9.77547 + 2.61933i 0.360819 + 0.0966812i
\(735\) −0.330441 + 5.06061i −0.0121885 + 0.186663i
\(736\) 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
\(749\) 31.4221 3.09870i 1.14814 0.113224i
\(750\) −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
\(756\) −0.0475676 + 0.105018i −0.00173002 + 0.00381948i
\(757\) −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 \(-0.738492\pi\)
0.955939 0.293564i \(-0.0948414\pi\)
\(762\) 13.2542 + 13.2542i 0.480149 + 0.480149i
\(763\) 2.08440 12.6347i 0.0754603 0.457406i
\(764\) −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 \(0.288293\pi\)
−0.141027 + 0.990006i \(0.545040\pi\)
\(770\) −5.18514 13.7714i −0.186859 0.496289i
\(771\) −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 0.993552i