Properties

Label 731.2.e.a.307.5
Level 731
Weight 2
Character 731.307
Analytic conductor 5.837
Analytic rank 0
Dimension 58
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.e (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(58\)
Relative dimension: \(29\) over \(\Q(\zeta_{3})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 307.5
Character \(\chi\) = 731.307
Dual form 731.2.e.a.681.5

$q$-expansion

\(f(q)\) \(=\) \(q-1.99188 q^{2} +(0.176804 - 0.306233i) q^{3} +1.96759 q^{4} +(-1.32572 + 2.29622i) q^{5} +(-0.352172 + 0.609981i) q^{6} +(-1.66418 - 2.88245i) q^{7} +0.0645559 q^{8} +(1.43748 + 2.48979i) q^{9} +O(q^{10})\) \(q-1.99188 q^{2} +(0.176804 - 0.306233i) q^{3} +1.96759 q^{4} +(-1.32572 + 2.29622i) q^{5} +(-0.352172 + 0.609981i) q^{6} +(-1.66418 - 2.88245i) q^{7} +0.0645559 q^{8} +(1.43748 + 2.48979i) q^{9} +(2.64068 - 4.57379i) q^{10} +0.00668742 q^{11} +(0.347878 - 0.602542i) q^{12} +(-2.08204 - 3.60620i) q^{13} +(3.31485 + 5.74149i) q^{14} +(0.468785 + 0.811960i) q^{15} -4.06377 q^{16} +(0.500000 + 0.866025i) q^{17} +(-2.86329 - 4.95937i) q^{18} +(-3.12890 + 5.41942i) q^{19} +(-2.60848 + 4.51801i) q^{20} -1.17693 q^{21} -0.0133206 q^{22} +(1.88933 - 3.27241i) q^{23} +(0.0114137 - 0.0197692i) q^{24} +(-1.01507 - 1.75816i) q^{25} +(4.14717 + 7.18311i) q^{26} +2.07743 q^{27} +(-3.27443 - 5.67147i) q^{28} +(-1.53155 - 2.65272i) q^{29} +(-0.933765 - 1.61733i) q^{30} +(3.02095 - 5.23245i) q^{31} +7.96543 q^{32} +(0.00118236 - 0.00204791i) q^{33} +(-0.995941 - 1.72502i) q^{34} +8.82496 q^{35} +(2.82837 + 4.89889i) q^{36} +(3.28166 - 5.68400i) q^{37} +(6.23240 - 10.7948i) q^{38} -1.47245 q^{39} +(-0.0855831 + 0.148234i) q^{40} +2.31983 q^{41} +2.34431 q^{42} +(-0.109324 + 6.55653i) q^{43} +0.0131581 q^{44} -7.62279 q^{45} +(-3.76331 + 6.51825i) q^{46} -8.80832 q^{47} +(-0.718490 + 1.24446i) q^{48} +(-2.03899 + 3.53164i) q^{49} +(2.02190 + 3.50204i) q^{50} +0.353608 q^{51} +(-4.09660 - 7.09552i) q^{52} +(5.34759 - 9.26229i) q^{53} -4.13800 q^{54} +(-0.00886566 + 0.0153558i) q^{55} +(-0.107433 - 0.186079i) q^{56} +(1.10640 + 1.91635i) q^{57} +(3.05067 + 5.28391i) q^{58} +8.15506 q^{59} +(0.922378 + 1.59761i) q^{60} +(-7.67503 - 13.2935i) q^{61} +(-6.01738 + 10.4224i) q^{62} +(4.78445 - 8.28692i) q^{63} -7.73866 q^{64} +11.0408 q^{65} +(-0.00235513 + 0.00407920i) q^{66} +(6.48158 - 11.2264i) q^{67} +(0.983795 + 1.70398i) q^{68} +(-0.668081 - 1.15715i) q^{69} -17.5783 q^{70} +(3.46358 + 5.99909i) q^{71} +(0.0927979 + 0.160731i) q^{72} +(-5.98411 - 10.3648i) q^{73} +(-6.53668 + 11.3219i) q^{74} -0.717875 q^{75} +(-6.15640 + 10.6632i) q^{76} +(-0.0111291 - 0.0192761i) q^{77} +2.93295 q^{78} +(0.616136 + 1.06718i) q^{79} +(5.38742 - 9.33129i) q^{80} +(-3.94514 + 6.83319i) q^{81} -4.62083 q^{82} +(8.22589 - 14.2477i) q^{83} -2.31573 q^{84} -2.65144 q^{85} +(0.217761 - 13.0598i) q^{86} -1.08314 q^{87} +0.000431713 q^{88} +(6.65720 - 11.5306i) q^{89} +15.1837 q^{90} +(-6.92977 + 12.0027i) q^{91} +(3.71742 - 6.43876i) q^{92} +(-1.06823 - 1.85023i) q^{93} +17.5451 q^{94} +(-8.29610 - 14.3693i) q^{95} +(1.40832 - 2.43928i) q^{96} -11.2765 q^{97} +(4.06143 - 7.03461i) q^{98} +(0.00961304 + 0.0166503i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 58q - 6q^{2} + 3q^{3} + 54q^{4} - q^{5} + 12q^{6} + 7q^{7} - 12q^{8} - 22q^{9} + O(q^{10}) \) \( 58q - 6q^{2} + 3q^{3} + 54q^{4} - q^{5} + 12q^{6} + 7q^{7} - 12q^{8} - 22q^{9} + 4q^{10} + 16q^{11} + 12q^{12} + 2q^{13} - 11q^{14} + 7q^{15} + 30q^{16} + 29q^{17} + 8q^{18} + 8q^{19} - 33q^{20} - 26q^{21} - 22q^{22} - 5q^{23} + 12q^{24} - 36q^{25} - 12q^{27} + 15q^{28} + 2q^{29} + 11q^{30} + 3q^{31} - 40q^{32} + 17q^{33} - 3q^{34} + 38q^{35} - 7q^{36} + 2q^{37} + q^{38} - 54q^{39} + 5q^{40} + 14q^{41} - 112q^{42} + 31q^{43} - 24q^{44} - 46q^{45} - 13q^{46} - 28q^{47} - 28q^{49} - 13q^{50} + 6q^{51} + 85q^{52} - 10q^{53} + 34q^{54} + 36q^{55} - 54q^{56} - 23q^{57} + 3q^{58} + 12q^{59} + 2q^{60} - q^{61} - q^{62} - 14q^{63} + 28q^{64} + 80q^{65} - 74q^{66} + 11q^{67} + 27q^{68} - 11q^{69} + 2q^{70} + 16q^{71} + 21q^{72} + 14q^{73} + 21q^{74} - 54q^{75} + 44q^{76} + 25q^{77} + 88q^{78} - 4q^{79} - 112q^{80} + 11q^{81} - 176q^{82} - 3q^{83} + 100q^{84} - 2q^{85} + 44q^{86} + 8q^{87} - 106q^{88} + 82q^{89} + 54q^{90} - 15q^{91} + 42q^{92} + 88q^{94} + 29q^{95} + 20q^{96} + 20q^{97} + 44q^{98} - 54q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.99188 −1.40847 −0.704236 0.709966i \(-0.748710\pi\)
−0.704236 + 0.709966i \(0.748710\pi\)
\(3\) 0.176804 0.306233i 0.102078 0.176804i −0.810463 0.585790i \(-0.800784\pi\)
0.912541 + 0.408986i \(0.134118\pi\)
\(4\) 1.96759 0.983795
\(5\) −1.32572 + 2.29622i −0.592880 + 1.02690i 0.400962 + 0.916095i \(0.368676\pi\)
−0.993842 + 0.110804i \(0.964657\pi\)
\(6\) −0.352172 + 0.609981i −0.143774 + 0.249024i
\(7\) −1.66418 2.88245i −0.629001 1.08946i −0.987753 0.156029i \(-0.950131\pi\)
0.358751 0.933433i \(-0.383203\pi\)
\(8\) 0.0645559 0.0228240
\(9\) 1.43748 + 2.48979i 0.479160 + 0.829930i
\(10\) 2.64068 4.57379i 0.835056 1.44636i
\(11\) 0.00668742 0.00201633 0.00100817 0.999999i \(-0.499679\pi\)
0.00100817 + 0.999999i \(0.499679\pi\)
\(12\) 0.347878 0.602542i 0.100424 0.173939i
\(13\) −2.08204 3.60620i −0.577454 1.00018i −0.995770 0.0918776i \(-0.970713\pi\)
0.418317 0.908301i \(-0.362620\pi\)
\(14\) 3.31485 + 5.74149i 0.885931 + 1.53448i
\(15\) 0.468785 + 0.811960i 0.121040 + 0.209647i
\(16\) −4.06377 −1.01594
\(17\) 0.500000 + 0.866025i 0.121268 + 0.210042i
\(18\) −2.86329 4.95937i −0.674884 1.16893i
\(19\) −3.12890 + 5.41942i −0.717819 + 1.24330i 0.244043 + 0.969764i \(0.421526\pi\)
−0.961862 + 0.273535i \(0.911807\pi\)
\(20\) −2.60848 + 4.51801i −0.583273 + 1.01026i
\(21\) −1.17693 −0.256828
\(22\) −0.0133206 −0.00283995
\(23\) 1.88933 3.27241i 0.393952 0.682345i −0.599015 0.800738i \(-0.704441\pi\)
0.992967 + 0.118393i \(0.0377744\pi\)
\(24\) 0.0114137 0.0197692i 0.00232982 0.00403537i
\(25\) −1.01507 1.75816i −0.203014 0.351631i
\(26\) 4.14717 + 7.18311i 0.813327 + 1.40872i
\(27\) 2.07743 0.399802
\(28\) −3.27443 5.67147i −0.618808 1.07181i
\(29\) −1.53155 2.65272i −0.284402 0.492598i 0.688062 0.725652i \(-0.258462\pi\)
−0.972464 + 0.233053i \(0.925128\pi\)
\(30\) −0.933765 1.61733i −0.170481 0.295282i
\(31\) 3.02095 5.23245i 0.542579 0.939775i −0.456175 0.889890i \(-0.650781\pi\)
0.998755 0.0498854i \(-0.0158856\pi\)
\(32\) 7.96543 1.40810
\(33\) 0.00118236 0.00204791i 0.000205823 0.000356496i
\(34\) −0.995941 1.72502i −0.170802 0.295838i
\(35\) 8.82496 1.49169
\(36\) 2.82837 + 4.89889i 0.471396 + 0.816481i
\(37\) 3.28166 5.68400i 0.539502 0.934445i −0.459429 0.888215i \(-0.651946\pi\)
0.998931 0.0462301i \(-0.0147207\pi\)
\(38\) 6.23240 10.7948i 1.01103 1.75115i
\(39\) −1.47245 −0.235781
\(40\) −0.0855831 + 0.148234i −0.0135319 + 0.0234379i
\(41\) 2.31983 0.362297 0.181149 0.983456i \(-0.442018\pi\)
0.181149 + 0.983456i \(0.442018\pi\)
\(42\) 2.34431 0.361736
\(43\) −0.109324 + 6.55653i −0.0166718 + 0.999861i
\(44\) 0.0131581 0.00198366
\(45\) −7.62279 −1.13634
\(46\) −3.76331 + 6.51825i −0.554870 + 0.961064i
\(47\) −8.80832 −1.28483 −0.642413 0.766359i \(-0.722066\pi\)
−0.642413 + 0.766359i \(0.722066\pi\)
\(48\) −0.718490 + 1.24446i −0.103705 + 0.179623i
\(49\) −2.03899 + 3.53164i −0.291285 + 0.504520i
\(50\) 2.02190 + 3.50204i 0.285940 + 0.495263i
\(51\) 0.353608 0.0495150
\(52\) −4.09660 7.09552i −0.568096 0.983971i
\(53\) 5.34759 9.26229i 0.734548 1.27227i −0.220374 0.975415i \(-0.570728\pi\)
0.954922 0.296858i \(-0.0959389\pi\)
\(54\) −4.13800 −0.563110
\(55\) −0.00886566 + 0.0153558i −0.00119545 + 0.00207057i
\(56\) −0.107433 0.186079i −0.0143563 0.0248658i
\(57\) 1.10640 + 1.91635i 0.146547 + 0.253827i
\(58\) 3.05067 + 5.28391i 0.400572 + 0.693811i
\(59\) 8.15506 1.06170 0.530849 0.847466i \(-0.321873\pi\)
0.530849 + 0.847466i \(0.321873\pi\)
\(60\) 0.922378 + 1.59761i 0.119078 + 0.206250i
\(61\) −7.67503 13.2935i −0.982687 1.70206i −0.651796 0.758395i \(-0.725984\pi\)
−0.330891 0.943669i \(-0.607349\pi\)
\(62\) −6.01738 + 10.4224i −0.764208 + 1.32365i
\(63\) 4.78445 8.28692i 0.602785 1.04405i
\(64\) −7.73866 −0.967332
\(65\) 11.0408 1.36944
\(66\) −0.00235513 + 0.00407920i −0.000289896 + 0.000502115i
\(67\) 6.48158 11.2264i 0.791852 1.37153i −0.132968 0.991120i \(-0.542451\pi\)
0.924819 0.380407i \(-0.124216\pi\)
\(68\) 0.983795 + 1.70398i 0.119303 + 0.206638i
\(69\) −0.668081 1.15715i −0.0804275 0.139304i
\(70\) −17.5783 −2.10100
\(71\) 3.46358 + 5.99909i 0.411051 + 0.711961i 0.995005 0.0998257i \(-0.0318285\pi\)
−0.583954 + 0.811787i \(0.698495\pi\)
\(72\) 0.0927979 + 0.160731i 0.0109363 + 0.0189423i
\(73\) −5.98411 10.3648i −0.700387 1.21311i −0.968330 0.249672i \(-0.919677\pi\)
0.267943 0.963435i \(-0.413656\pi\)
\(74\) −6.53668 + 11.3219i −0.759874 + 1.31614i
\(75\) −0.717875 −0.0828931
\(76\) −6.15640 + 10.6632i −0.706187 + 1.22315i
\(77\) −0.0111291 0.0192761i −0.00126828 0.00219672i
\(78\) 2.93295 0.332091
\(79\) 0.616136 + 1.06718i 0.0693207 + 0.120067i 0.898602 0.438764i \(-0.144583\pi\)
−0.829282 + 0.558831i \(0.811250\pi\)
\(80\) 5.38742 9.33129i 0.602332 1.04327i
\(81\) −3.94514 + 6.83319i −0.438349 + 0.759243i
\(82\) −4.62083 −0.510286
\(83\) 8.22589 14.2477i 0.902909 1.56388i 0.0792089 0.996858i \(-0.474761\pi\)
0.823700 0.567026i \(-0.191906\pi\)
\(84\) −2.31573 −0.252666
\(85\) −2.65144 −0.287589
\(86\) 0.217761 13.0598i 0.0234818 1.40828i
\(87\) −1.08314 −0.116124
\(88\) 0.000431713 0 4.60207e−5 0
\(89\) 6.65720 11.5306i 0.705662 1.22224i −0.260791 0.965395i \(-0.583983\pi\)
0.966452 0.256846i \(-0.0826835\pi\)
\(90\) 15.1837 1.60050
\(91\) −6.92977 + 12.0027i −0.726438 + 1.25823i
\(92\) 3.71742 6.43876i 0.387568 0.671287i
\(93\) −1.06823 1.85023i −0.110771 0.191860i
\(94\) 17.5451 1.80964
\(95\) −8.29610 14.3693i −0.851162 1.47426i
\(96\) 1.40832 2.43928i 0.143736 0.248958i
\(97\) −11.2765 −1.14496 −0.572480 0.819919i \(-0.694019\pi\)
−0.572480 + 0.819919i \(0.694019\pi\)
\(98\) 4.06143 7.03461i 0.410267 0.710603i
\(99\) 0.00961304 + 0.0166503i 0.000966147 + 0.00167342i
\(100\) −1.99725 3.45933i −0.199725 0.345933i
\(101\) −7.60677 13.1753i −0.756902 1.31099i −0.944423 0.328732i \(-0.893379\pi\)
0.187521 0.982261i \(-0.439955\pi\)
\(102\) −0.704345 −0.0697405
\(103\) 9.30993 + 16.1253i 0.917335 + 1.58887i 0.803446 + 0.595377i \(0.202997\pi\)
0.113889 + 0.993494i \(0.463669\pi\)
\(104\) −0.134408 0.232801i −0.0131798 0.0228280i
\(105\) 1.56029 2.70250i 0.152268 0.263737i
\(106\) −10.6518 + 18.4494i −1.03459 + 1.79196i
\(107\) 10.5911 1.02388 0.511942 0.859020i \(-0.328926\pi\)
0.511942 + 0.859020i \(0.328926\pi\)
\(108\) 4.08754 0.393323
\(109\) 3.88476 6.72860i 0.372093 0.644483i −0.617795 0.786339i \(-0.711974\pi\)
0.989887 + 0.141856i \(0.0453071\pi\)
\(110\) 0.0176593 0.0305869i 0.00168375 0.00291634i
\(111\) −1.16042 2.00991i −0.110142 0.190772i
\(112\) 6.76284 + 11.7136i 0.639029 + 1.10683i
\(113\) 3.44779 0.324341 0.162170 0.986763i \(-0.448151\pi\)
0.162170 + 0.986763i \(0.448151\pi\)
\(114\) −2.20383 3.81714i −0.206407 0.357508i
\(115\) 5.00944 + 8.67660i 0.467133 + 0.809097i
\(116\) −3.01346 5.21947i −0.279793 0.484616i
\(117\) 5.98578 10.3677i 0.553386 0.958492i
\(118\) −16.2439 −1.49537
\(119\) 1.66418 2.88245i 0.152555 0.264233i
\(120\) 0.0302629 + 0.0524168i 0.00276261 + 0.00478498i
\(121\) −11.0000 −0.999996
\(122\) 15.2877 + 26.4792i 1.38409 + 2.39731i
\(123\) 0.410156 0.710411i 0.0369825 0.0640556i
\(124\) 5.94400 10.2953i 0.533787 0.924546i
\(125\) −7.87440 −0.704308
\(126\) −9.53007 + 16.5066i −0.849006 + 1.47052i
\(127\) −1.31171 −0.116395 −0.0581977 0.998305i \(-0.518535\pi\)
−0.0581977 + 0.998305i \(0.518535\pi\)
\(128\) −0.516379 −0.0456419
\(129\) 1.98850 + 1.19270i 0.175078 + 0.105011i
\(130\) −21.9920 −1.92882
\(131\) 11.1075 0.970470 0.485235 0.874384i \(-0.338734\pi\)
0.485235 + 0.874384i \(0.338734\pi\)
\(132\) 0.00232641 0.00402945i 0.000202488 0.000350719i
\(133\) 20.8282 1.80604
\(134\) −12.9105 + 22.3617i −1.11530 + 1.93176i
\(135\) −2.75410 + 4.77023i −0.237035 + 0.410556i
\(136\) 0.0322780 + 0.0559071i 0.00276781 + 0.00479399i
\(137\) −0.736230 −0.0629004 −0.0314502 0.999505i \(-0.510013\pi\)
−0.0314502 + 0.999505i \(0.510013\pi\)
\(138\) 1.33074 + 2.30490i 0.113280 + 0.196207i
\(139\) 7.10529 12.3067i 0.602663 1.04384i −0.389754 0.920919i \(-0.627440\pi\)
0.992416 0.122923i \(-0.0392268\pi\)
\(140\) 17.3639 1.46752
\(141\) −1.55735 + 2.69740i −0.131152 + 0.227162i
\(142\) −6.89903 11.9495i −0.578954 1.00278i
\(143\) −0.0139235 0.0241162i −0.00116434 0.00201669i
\(144\) −5.84159 10.1179i −0.486799 0.843161i
\(145\) 8.12163 0.674465
\(146\) 11.9196 + 20.6454i 0.986477 + 1.70863i
\(147\) 0.721004 + 1.24882i 0.0594674 + 0.103001i
\(148\) 6.45697 11.1838i 0.530759 0.919302i
\(149\) −9.65605 + 16.7248i −0.791055 + 1.37015i 0.134260 + 0.990946i \(0.457134\pi\)
−0.925314 + 0.379201i \(0.876199\pi\)
\(150\) 1.42992 0.116753
\(151\) −11.6543 −0.948411 −0.474205 0.880414i \(-0.657265\pi\)
−0.474205 + 0.880414i \(0.657265\pi\)
\(152\) −0.201989 + 0.349855i −0.0163835 + 0.0283770i
\(153\) −1.43748 + 2.48979i −0.116213 + 0.201288i
\(154\) 0.0221678 + 0.0383958i 0.00178633 + 0.00309402i
\(155\) 8.00989 + 13.8735i 0.643370 + 1.11435i
\(156\) −2.89718 −0.231960
\(157\) −0.0436360 0.0755798i −0.00348253 0.00603192i 0.864279 0.503013i \(-0.167775\pi\)
−0.867761 + 0.496981i \(0.834442\pi\)
\(158\) −1.22727 2.12569i −0.0976364 0.169111i
\(159\) −1.89095 3.27522i −0.149962 0.259742i
\(160\) −10.5599 + 18.2904i −0.834837 + 1.44598i
\(161\) −12.5767 −0.991184
\(162\) 7.85826 13.6109i 0.617403 1.06937i
\(163\) 6.52415 + 11.3002i 0.511011 + 0.885096i 0.999919 + 0.0127609i \(0.00406204\pi\)
−0.488908 + 0.872335i \(0.662605\pi\)
\(164\) 4.56448 0.356426
\(165\) 0.00313497 + 0.00542992i 0.000244057 + 0.000422719i
\(166\) −16.3850 + 28.3796i −1.27172 + 2.20269i
\(167\) −3.90018 + 6.75530i −0.301805 + 0.522741i −0.976545 0.215314i \(-0.930922\pi\)
0.674740 + 0.738055i \(0.264256\pi\)
\(168\) −0.0759781 −0.00586184
\(169\) −2.16977 + 3.75815i −0.166905 + 0.289088i
\(170\) 5.28136 0.405062
\(171\) −17.9909 −1.37580
\(172\) −0.215106 + 12.9006i −0.0164017 + 0.983659i
\(173\) 1.60754 0.122219 0.0611096 0.998131i \(-0.480536\pi\)
0.0611096 + 0.998131i \(0.480536\pi\)
\(174\) 2.15748 0.163558
\(175\) −3.37853 + 5.85178i −0.255393 + 0.442353i
\(176\) −0.0271761 −0.00204848
\(177\) 1.44185 2.49735i 0.108376 0.187713i
\(178\) −13.2603 + 22.9676i −0.993905 + 1.72149i
\(179\) 3.70413 + 6.41575i 0.276860 + 0.479536i 0.970603 0.240687i \(-0.0773728\pi\)
−0.693743 + 0.720223i \(0.744040\pi\)
\(180\) −14.9985 −1.11792
\(181\) 7.00808 + 12.1383i 0.520906 + 0.902236i 0.999704 + 0.0243113i \(0.00773930\pi\)
−0.478798 + 0.877925i \(0.658927\pi\)
\(182\) 13.8033 23.9080i 1.02317 1.77218i
\(183\) −5.42790 −0.401242
\(184\) 0.121967 0.211253i 0.00899154 0.0155738i
\(185\) 8.70114 + 15.0708i 0.639720 + 1.10803i
\(186\) 2.12779 + 3.68545i 0.156017 + 0.270230i
\(187\) 0.00334371 + 0.00579148i 0.000244516 + 0.000423515i
\(188\) −17.3312 −1.26400
\(189\) −3.45722 5.98809i −0.251476 0.435569i
\(190\) 16.5248 + 28.6219i 1.19884 + 2.07645i
\(191\) −4.99342 + 8.64886i −0.361311 + 0.625809i −0.988177 0.153318i \(-0.951004\pi\)
0.626866 + 0.779127i \(0.284337\pi\)
\(192\) −1.36823 + 2.36984i −0.0987431 + 0.171028i
\(193\) −17.1980 −1.23794 −0.618971 0.785414i \(-0.712450\pi\)
−0.618971 + 0.785414i \(0.712450\pi\)
\(194\) 22.4615 1.61264
\(195\) 1.95206 3.38106i 0.139790 0.242123i
\(196\) −4.01190 + 6.94882i −0.286565 + 0.496344i
\(197\) −0.436592 0.756200i −0.0311059 0.0538770i 0.850053 0.526697i \(-0.176570\pi\)
−0.881159 + 0.472820i \(0.843236\pi\)
\(198\) −0.0191480 0.0331654i −0.00136079 0.00235696i
\(199\) 21.5084 1.52469 0.762344 0.647172i \(-0.224049\pi\)
0.762344 + 0.647172i \(0.224049\pi\)
\(200\) −0.0655289 0.113499i −0.00463359 0.00802562i
\(201\) −2.29194 3.96976i −0.161661 0.280005i
\(202\) 15.1518 + 26.2437i 1.06608 + 1.84650i
\(203\) −5.09755 + 8.82922i −0.357778 + 0.619690i
\(204\) 0.695756 0.0487126
\(205\) −3.07545 + 5.32684i −0.214799 + 0.372043i
\(206\) −18.5443 32.1196i −1.29204 2.23788i
\(207\) 10.8635 0.755064
\(208\) 8.46092 + 14.6547i 0.586659 + 1.01612i
\(209\) −0.0209243 + 0.0362419i −0.00144736 + 0.00250691i
\(210\) −3.10791 + 5.38305i −0.214466 + 0.371466i
\(211\) −12.2332 −0.842170 −0.421085 0.907021i \(-0.638351\pi\)
−0.421085 + 0.907021i \(0.638351\pi\)
\(212\) 10.5219 18.2244i 0.722644 1.25166i
\(213\) 2.44950 0.167837
\(214\) −21.0963 −1.44211
\(215\) −14.9103 8.94316i −1.01687 0.609918i
\(216\) 0.134111 0.00912507
\(217\) −20.1097 −1.36513
\(218\) −7.73798 + 13.4026i −0.524082 + 0.907737i
\(219\) −4.23206 −0.285976
\(220\) −0.0174440 + 0.0302139i −0.00117607 + 0.00203702i
\(221\) 2.08204 3.60620i 0.140053 0.242579i
\(222\) 2.31142 + 4.00350i 0.155132 + 0.268697i
\(223\) −7.20387 −0.482407 −0.241203 0.970475i \(-0.577542\pi\)
−0.241203 + 0.970475i \(0.577542\pi\)
\(224\) −13.2559 22.9599i −0.885698 1.53407i
\(225\) 2.91829 5.05463i 0.194553 0.336975i
\(226\) −6.86758 −0.456825
\(227\) 3.03562 5.25784i 0.201481 0.348975i −0.747525 0.664234i \(-0.768758\pi\)
0.949006 + 0.315259i \(0.102091\pi\)
\(228\) 2.17695 + 3.77059i 0.144172 + 0.249713i
\(229\) −9.19055 15.9185i −0.607329 1.05192i −0.991679 0.128737i \(-0.958908\pi\)
0.384350 0.923187i \(-0.374425\pi\)
\(230\) −9.97821 17.2828i −0.657944 1.13959i
\(231\) −0.00787066 −0.000517852
\(232\) −0.0988706 0.171249i −0.00649118 0.0112430i
\(233\) 13.2994 + 23.0352i 0.871271 + 1.50909i 0.860683 + 0.509142i \(0.170037\pi\)
0.0105881 + 0.999944i \(0.496630\pi\)
\(234\) −11.9230 + 20.6512i −0.779428 + 1.35001i
\(235\) 11.6774 20.2258i 0.761748 1.31939i
\(236\) 16.0458 1.04449
\(237\) 0.435741 0.0283044
\(238\) −3.31485 + 5.74149i −0.214870 + 0.372165i
\(239\) −2.72921 + 4.72714i −0.176538 + 0.305773i −0.940693 0.339260i \(-0.889823\pi\)
0.764154 + 0.645033i \(0.223157\pi\)
\(240\) −1.90504 3.29962i −0.122970 0.212989i
\(241\) −5.77963 10.0106i −0.372299 0.644841i 0.617620 0.786477i \(-0.288097\pi\)
−0.989919 + 0.141636i \(0.954764\pi\)
\(242\) 21.9106 1.40847
\(243\) 4.51118 + 7.81360i 0.289393 + 0.501243i
\(244\) −15.1013 26.1562i −0.966763 1.67448i
\(245\) −5.40627 9.36394i −0.345394 0.598240i
\(246\) −0.816982 + 1.41505i −0.0520888 + 0.0902205i
\(247\) 26.0580 1.65803
\(248\) 0.195020 0.337785i 0.0123838 0.0214494i
\(249\) −2.90874 5.03809i −0.184334 0.319276i
\(250\) 15.6849 0.991998
\(251\) 0.331034 + 0.573368i 0.0208947 + 0.0361906i 0.876284 0.481796i \(-0.160015\pi\)
−0.855389 + 0.517986i \(0.826682\pi\)
\(252\) 9.41385 16.3053i 0.593017 1.02713i
\(253\) 0.0126347 0.0218840i 0.000794338 0.00137583i
\(254\) 2.61277 0.163940
\(255\) −0.468785 + 0.811960i −0.0293565 + 0.0508469i
\(256\) 16.5059 1.03162
\(257\) −31.7274 −1.97910 −0.989550 0.144187i \(-0.953943\pi\)
−0.989550 + 0.144187i \(0.953943\pi\)
\(258\) −3.96085 2.37571i −0.246592 0.147905i
\(259\) −21.8451 −1.35739
\(260\) 21.7238 1.34725
\(261\) 4.40315 7.62648i 0.272548 0.472067i
\(262\) −22.1249 −1.36688
\(263\) −2.63483 + 4.56366i −0.162470 + 0.281407i −0.935754 0.352653i \(-0.885280\pi\)
0.773284 + 0.634060i \(0.218613\pi\)
\(264\) 7.63285e−5 0 0.000132205i 4.69770e−6 0 8.13665e-6i
\(265\) 14.1788 + 24.5584i 0.870998 + 1.50861i
\(266\) −41.4874 −2.54375
\(267\) −2.35404 4.07731i −0.144065 0.249528i
\(268\) 12.7531 22.0890i 0.779020 1.34930i
\(269\) 8.70749 0.530905 0.265453 0.964124i \(-0.414479\pi\)
0.265453 + 0.964124i \(0.414479\pi\)
\(270\) 5.48583 9.50174i 0.333857 0.578257i
\(271\) −9.24330 16.0099i −0.561491 0.972530i −0.997367 0.0725236i \(-0.976895\pi\)
0.435876 0.900007i \(-0.356439\pi\)
\(272\) −2.03188 3.51933i −0.123201 0.213391i
\(273\) 2.45042 + 4.24426i 0.148306 + 0.256874i
\(274\) 1.46648 0.0885935
\(275\) −0.00678822 0.0117575i −0.000409345 0.000709006i
\(276\) −1.31451 2.27680i −0.0791242 0.137047i
\(277\) −2.52560 + 4.37447i −0.151749 + 0.262837i −0.931870 0.362791i \(-0.881824\pi\)
0.780122 + 0.625628i \(0.215157\pi\)
\(278\) −14.1529 + 24.5135i −0.848834 + 1.47022i
\(279\) 17.3703 1.03993
\(280\) 0.569703 0.0340463
\(281\) 5.98415 10.3649i 0.356984 0.618315i −0.630471 0.776213i \(-0.717138\pi\)
0.987455 + 0.157898i \(0.0504716\pi\)
\(282\) 3.10205 5.37290i 0.184724 0.319952i
\(283\) −2.20152 3.81314i −0.130867 0.226667i 0.793144 0.609034i \(-0.208443\pi\)
−0.924011 + 0.382366i \(0.875109\pi\)
\(284\) 6.81490 + 11.8038i 0.404390 + 0.700424i
\(285\) −5.86713 −0.347539
\(286\) 0.0277339 + 0.0480365i 0.00163994 + 0.00284046i
\(287\) −3.86062 6.68679i −0.227885 0.394709i
\(288\) 11.4502 + 19.8323i 0.674707 + 1.16863i
\(289\) −0.500000 + 0.866025i −0.0294118 + 0.0509427i
\(290\) −16.1773 −0.949966
\(291\) −1.99374 + 3.45326i −0.116875 + 0.202433i
\(292\) −11.7743 20.3937i −0.689038 1.19345i
\(293\) 16.6740 0.974103 0.487052 0.873373i \(-0.338072\pi\)
0.487052 + 0.873373i \(0.338072\pi\)
\(294\) −1.43615 2.48749i −0.0837582 0.145074i
\(295\) −10.8113 + 18.7258i −0.629461 + 1.09026i
\(296\) 0.211851 0.366936i 0.0123136 0.0213277i
\(297\) 0.0138927 0.000806135
\(298\) 19.2337 33.3138i 1.11418 1.92981i
\(299\) −15.7346 −0.909955
\(300\) −1.41248 −0.0815498
\(301\) 19.0808 10.5961i 1.09980 0.610750i
\(302\) 23.2139 1.33581
\(303\) −5.37963 −0.309052
\(304\) 12.7151 22.0233i 0.729263 1.26312i
\(305\) 40.6998 2.33046
\(306\) 2.86329 4.95937i 0.163683 0.283508i
\(307\) 11.1480 19.3089i 0.636249 1.10201i −0.350001 0.936749i \(-0.613819\pi\)
0.986249 0.165265i \(-0.0528480\pi\)
\(308\) −0.0218975 0.0379275i −0.00124772 0.00216112i
\(309\) 6.58413 0.374558
\(310\) −15.9547 27.6344i −0.906168 1.56953i
\(311\) −11.1840 + 19.3712i −0.634186 + 1.09844i 0.352501 + 0.935811i \(0.385331\pi\)
−0.986687 + 0.162631i \(0.948002\pi\)
\(312\) −0.0950554 −0.00538145
\(313\) 3.58735 6.21348i 0.202769 0.351207i −0.746650 0.665217i \(-0.768339\pi\)
0.949420 + 0.314010i \(0.101673\pi\)
\(314\) 0.0869177 + 0.150546i 0.00490505 + 0.00849580i
\(315\) 12.6857 + 21.9723i 0.714758 + 1.23800i
\(316\) 1.21230 + 2.09977i 0.0681974 + 0.118121i
\(317\) 12.6773 0.712026 0.356013 0.934481i \(-0.384136\pi\)
0.356013 + 0.934481i \(0.384136\pi\)
\(318\) 3.76655 + 6.52385i 0.211217 + 0.365839i
\(319\) −0.0102421 0.0177399i −0.000573449 0.000993243i
\(320\) 10.2593 17.7696i 0.573512 0.993352i
\(321\) 1.87256 3.24336i 0.104516 0.181027i
\(322\) 25.0513 1.39606
\(323\) −6.25780 −0.348194
\(324\) −7.76243 + 13.4449i −0.431246 + 0.746940i
\(325\) −4.22684 + 7.32110i −0.234463 + 0.406101i
\(326\) −12.9953 22.5086i −0.719744 1.24663i
\(327\) −1.37368 2.37929i −0.0759648 0.131575i
\(328\) 0.149759 0.00826906
\(329\) 14.6586 + 25.3895i 0.808156 + 1.39977i
\(330\) −0.00624448 0.0108158i −0.000343747 0.000595388i
\(331\) 4.60379 + 7.97400i 0.253047 + 0.438291i 0.964363 0.264582i \(-0.0852339\pi\)
−0.711316 + 0.702872i \(0.751901\pi\)
\(332\) 16.1852 28.0336i 0.888277 1.53854i
\(333\) 18.8693 1.03403
\(334\) 7.76869 13.4558i 0.425084 0.736267i
\(335\) 17.1855 + 29.7662i 0.938947 + 1.62630i
\(336\) 4.78279 0.260923
\(337\) 5.35363 + 9.27276i 0.291631 + 0.505119i 0.974195 0.225706i \(-0.0724688\pi\)
−0.682565 + 0.730825i \(0.739135\pi\)
\(338\) 4.32192 7.48578i 0.235081 0.407173i
\(339\) 0.609582 1.05583i 0.0331080 0.0573447i
\(340\) −5.21695 −0.282929
\(341\) 0.0202024 0.0349916i 0.00109402 0.00189490i
\(342\) 35.8358 1.93778
\(343\) −9.72551 −0.525128
\(344\) −0.00705754 + 0.423263i −0.000380517 + 0.0228208i
\(345\) 3.54275 0.190735
\(346\) −3.20203 −0.172142
\(347\) 6.90457 11.9591i 0.370657 0.641997i −0.619010 0.785383i \(-0.712466\pi\)
0.989667 + 0.143387i \(0.0457992\pi\)
\(348\) −2.13117 −0.114243
\(349\) −2.12945 + 3.68832i −0.113987 + 0.197431i −0.917374 0.398026i \(-0.869696\pi\)
0.803387 + 0.595457i \(0.203029\pi\)
\(350\) 6.72962 11.6560i 0.359713 0.623042i
\(351\) −4.32529 7.49163i −0.230867 0.399874i
\(352\) 0.0532682 0.00283921
\(353\) −5.36114 9.28577i −0.285345 0.494231i 0.687348 0.726328i \(-0.258775\pi\)
−0.972693 + 0.232097i \(0.925441\pi\)
\(354\) −2.87199 + 4.97443i −0.152644 + 0.264388i
\(355\) −18.3669 −0.974816
\(356\) 13.0986 22.6875i 0.694227 1.20244i
\(357\) −0.588467 1.01926i −0.0311450 0.0539447i
\(358\) −7.37820 12.7794i −0.389950 0.675413i
\(359\) −4.26463 7.38655i −0.225078 0.389847i 0.731265 0.682094i \(-0.238931\pi\)
−0.956343 + 0.292247i \(0.905597\pi\)
\(360\) −0.492096 −0.0259358
\(361\) −10.0801 17.4592i −0.530529 0.918904i
\(362\) −13.9593 24.1781i −0.733682 1.27078i
\(363\) −1.94484 + 3.36855i −0.102077 + 0.176803i
\(364\) −13.6350 + 23.6164i −0.714666 + 1.23784i
\(365\) 31.7331 1.66098
\(366\) 10.8117 0.565139
\(367\) 7.26431 12.5822i 0.379194 0.656783i −0.611751 0.791050i \(-0.709535\pi\)
0.990945 + 0.134267i \(0.0428680\pi\)
\(368\) −7.67779 + 13.2983i −0.400232 + 0.693223i
\(369\) 3.33472 + 5.77590i 0.173598 + 0.300681i
\(370\) −17.3316 30.0193i −0.901028 1.56063i
\(371\) −35.5974 −1.84813
\(372\) −2.10185 3.64050i −0.108976 0.188751i
\(373\) −12.8674 22.2871i −0.666251 1.15398i −0.978945 0.204126i \(-0.934565\pi\)
0.312694 0.949854i \(-0.398769\pi\)
\(374\) −0.00666028 0.0115359i −0.000344395 0.000596509i
\(375\) −1.39223 + 2.41140i −0.0718942 + 0.124524i
\(376\) −0.568629 −0.0293248
\(377\) −6.37749 + 11.0461i −0.328458 + 0.568905i
\(378\) 6.88638 + 11.9276i 0.354197 + 0.613487i
\(379\) −0.500946 −0.0257319 −0.0128659 0.999917i \(-0.504095\pi\)
−0.0128659 + 0.999917i \(0.504095\pi\)
\(380\) −16.3233 28.2728i −0.837369 1.45037i
\(381\) −0.231915 + 0.401689i −0.0118814 + 0.0205792i
\(382\) 9.94630 17.2275i 0.508897 0.881435i
\(383\) −29.3294 −1.49866 −0.749332 0.662194i \(-0.769625\pi\)
−0.749332 + 0.662194i \(0.769625\pi\)
\(384\) −0.0912979 + 0.158133i −0.00465903 + 0.00806967i
\(385\) 0.0590162 0.00300775
\(386\) 34.2564 1.74361
\(387\) −16.4815 + 9.15269i −0.837803 + 0.465257i
\(388\) −22.1876 −1.12641
\(389\) 1.55607 0.0788960 0.0394480 0.999222i \(-0.487440\pi\)
0.0394480 + 0.999222i \(0.487440\pi\)
\(390\) −3.88827 + 6.73468i −0.196890 + 0.341024i
\(391\) 3.77865 0.191095
\(392\) −0.131629 + 0.227988i −0.00664827 + 0.0115151i
\(393\) 1.96386 3.40150i 0.0990634 0.171583i
\(394\) 0.869640 + 1.50626i 0.0438118 + 0.0758843i
\(395\) −3.26730 −0.164396
\(396\) 0.0189145 + 0.0327609i 0.000950491 + 0.00164630i
\(397\) 19.1356 33.1438i 0.960389 1.66344i 0.238865 0.971053i \(-0.423225\pi\)
0.721524 0.692389i \(-0.243442\pi\)
\(398\) −42.8421 −2.14748
\(399\) 3.68251 6.37830i 0.184356 0.319314i
\(400\) 4.12502 + 7.14474i 0.206251 + 0.357237i
\(401\) 10.9991 + 19.0510i 0.549269 + 0.951362i 0.998325 + 0.0578585i \(0.0184272\pi\)
−0.449055 + 0.893504i \(0.648239\pi\)
\(402\) 4.56527 + 7.90728i 0.227695 + 0.394379i
\(403\) −25.1590 −1.25326
\(404\) −14.9670 25.9236i −0.744637 1.28975i
\(405\) −10.4603 18.1178i −0.519777 0.900281i
\(406\) 10.1537 17.5868i 0.503921 0.872816i
\(407\) 0.0219459 0.0380113i 0.00108782 0.00188415i
\(408\) 0.0228275 0.00113013
\(409\) −15.3450 −0.758760 −0.379380 0.925241i \(-0.623863\pi\)
−0.379380 + 0.925241i \(0.623863\pi\)
\(410\) 6.12594 10.6104i 0.302538 0.524012i
\(411\) −0.130168 + 0.225458i −0.00642073 + 0.0111210i
\(412\) 18.3181 + 31.7279i 0.902470 + 1.56312i
\(413\) −13.5715 23.5065i −0.667810 1.15668i
\(414\) −21.6388 −1.06349
\(415\) 21.8105 + 37.7768i 1.07063 + 1.85439i
\(416\) −16.5843 28.7249i −0.813114 1.40835i
\(417\) −2.51249 4.35175i −0.123037 0.213106i
\(418\) 0.0416787 0.0721896i 0.00203857 0.00353091i
\(419\) −4.08768 −0.199696 −0.0998481 0.995003i \(-0.531836\pi\)
−0.0998481 + 0.995003i \(0.531836\pi\)
\(420\) 3.07001 5.31741i 0.149801 0.259463i
\(421\) −9.12941 15.8126i −0.444940 0.770659i 0.553108 0.833110i \(-0.313442\pi\)
−0.998048 + 0.0624504i \(0.980108\pi\)
\(422\) 24.3671 1.18617
\(423\) −12.6618 21.9309i −0.615637 1.06631i
\(424\) 0.345218 0.597936i 0.0167653 0.0290383i
\(425\) 1.01507 1.75816i 0.0492382 0.0852831i
\(426\) −4.87910 −0.236393
\(427\) −25.5453 + 44.2457i −1.23622 + 2.14120i
\(428\) 20.8390 1.00729
\(429\) −0.00984690 −0.000475413
\(430\) 29.6995 + 17.8137i 1.43224 + 0.859053i
\(431\) −21.1380 −1.01818 −0.509091 0.860713i \(-0.670018\pi\)
−0.509091 + 0.860713i \(0.670018\pi\)
\(432\) −8.44221 −0.406176
\(433\) −2.91099 + 5.04198i −0.139893 + 0.242302i −0.927456 0.373932i \(-0.878009\pi\)
0.787563 + 0.616234i \(0.211343\pi\)
\(434\) 40.0560 1.92275
\(435\) 1.43594 2.48712i 0.0688479 0.119248i
\(436\) 7.64362 13.2391i 0.366063 0.634040i
\(437\) 11.8230 + 20.4781i 0.565572 + 0.979600i
\(438\) 8.42976 0.402789
\(439\) 7.84210 + 13.5829i 0.374283 + 0.648278i 0.990219 0.139518i \(-0.0445555\pi\)
−0.615936 + 0.787796i \(0.711222\pi\)
\(440\) −0.000572331 0 0.000991306i −2.72848e−5 0 4.72586e-5i
\(441\) −11.7241 −0.558288
\(442\) −4.14717 + 7.18311i −0.197261 + 0.341666i
\(443\) 8.73295 + 15.1259i 0.414915 + 0.718654i 0.995420 0.0956034i \(-0.0304781\pi\)
−0.580505 + 0.814257i \(0.697145\pi\)
\(444\) −2.28323 3.95468i −0.108358 0.187681i
\(445\) 17.6512 + 30.5727i 0.836746 + 1.44929i
\(446\) 14.3493 0.679457
\(447\) 3.41446 + 5.91401i 0.161498 + 0.279723i
\(448\) 12.8785 + 22.3063i 0.608453 + 1.05387i
\(449\) 0.582302 1.00858i 0.0274805 0.0475977i −0.851958 0.523610i \(-0.824585\pi\)
0.879439 + 0.476012i \(0.157918\pi\)
\(450\) −5.81289 + 10.0682i −0.274022 + 0.474621i
\(451\) 0.0155137 0.000730512
\(452\) 6.78383 0.319085
\(453\) −2.06052 + 3.56893i −0.0968117 + 0.167683i
\(454\) −6.04658 + 10.4730i −0.283780 + 0.491522i
\(455\) −18.3739 31.8245i −0.861381 1.49196i
\(456\) 0.0714249 + 0.123712i 0.00334478 + 0.00579333i
\(457\) −25.6103 −1.19800 −0.598999 0.800750i \(-0.704435\pi\)
−0.598999 + 0.800750i \(0.704435\pi\)
\(458\) 18.3065 + 31.7078i 0.855406 + 1.48161i
\(459\) 1.03872 + 1.79911i 0.0484831 + 0.0839752i
\(460\) 9.85652 + 17.0720i 0.459563 + 0.795986i
\(461\) −7.34579 + 12.7233i −0.342128 + 0.592582i −0.984828 0.173536i \(-0.944481\pi\)
0.642700 + 0.766118i \(0.277814\pi\)
\(462\) 0.0156774 0.000729380
\(463\) 21.4348 37.1262i 0.996160 1.72540i 0.422260 0.906475i \(-0.361237\pi\)
0.573900 0.818925i \(-0.305430\pi\)
\(464\) 6.22387 + 10.7801i 0.288936 + 0.500451i
\(465\) 5.66472 0.262695
\(466\) −26.4908 45.8834i −1.22716 2.12551i
\(467\) −12.4466 + 21.5581i −0.575959 + 0.997589i 0.419978 + 0.907534i \(0.362038\pi\)
−0.995937 + 0.0900553i \(0.971296\pi\)
\(468\) 11.7776 20.3993i 0.544418 0.942960i
\(469\) −43.1461 −1.99230
\(470\) −23.2599 + 40.2874i −1.07290 + 1.85832i
\(471\) −0.0308601 −0.00142196
\(472\) 0.526458 0.0242322
\(473\) −0.000731099 0.0438463i −3.36160e−5 0.00201605i
\(474\) −0.867945 −0.0398660
\(475\) 12.7042 0.582911
\(476\) 3.27443 5.67147i 0.150083 0.259951i
\(477\) 30.7482 1.40786
\(478\) 5.43627 9.41590i 0.248649 0.430673i
\(479\) 1.33013 2.30385i 0.0607751 0.105266i −0.834037 0.551709i \(-0.813976\pi\)
0.894812 + 0.446443i \(0.147309\pi\)
\(480\) 3.73408 + 6.46761i 0.170437 + 0.295205i
\(481\) −27.3302 −1.24615
\(482\) 11.5123 + 19.9400i 0.524373 + 0.908240i
\(483\) −2.22361 + 3.85141i −0.101178 + 0.175245i
\(484\) −21.6434 −0.983791
\(485\) 14.9496 25.8934i 0.678824 1.17576i
\(486\) −8.98574 15.5638i −0.407601 0.705986i
\(487\) −10.9846 19.0258i −0.497758 0.862142i 0.502239 0.864729i \(-0.332510\pi\)
−0.999997 + 0.00258720i \(0.999176\pi\)
\(488\) −0.495469 0.858177i −0.0224288 0.0388478i
\(489\) 4.61398 0.208651
\(490\) 10.7687 + 18.6519i 0.486478 + 0.842605i
\(491\) 7.25913 + 12.5732i 0.327600 + 0.567420i 0.982035 0.188698i \(-0.0604268\pi\)
−0.654435 + 0.756118i \(0.727093\pi\)
\(492\) 0.807019 1.39780i 0.0363832 0.0630176i
\(493\) 1.53155 2.65272i 0.0689776 0.119473i
\(494\) −51.9044 −2.33529
\(495\) −0.0509768 −0.00229124
\(496\) −12.2765 + 21.2635i −0.551229 + 0.954757i
\(497\) 11.5280 19.9671i 0.517103 0.895648i
\(498\) 5.79386 + 10.0353i 0.259629 + 0.449691i
\(499\) −16.0547 27.8075i −0.718706 1.24484i −0.961512 0.274761i \(-0.911401\pi\)
0.242806 0.970075i \(-0.421932\pi\)
\(500\) −15.4936 −0.692895
\(501\) 1.37913 + 2.38873i 0.0616151 + 0.106721i
\(502\) −0.659380 1.14208i −0.0294296 0.0509735i
\(503\) −17.2715 29.9152i −0.770100 1.33385i −0.937508 0.347964i \(-0.886873\pi\)
0.167408 0.985888i \(-0.446460\pi\)
\(504\) 0.308865 0.534970i 0.0137579 0.0238294i
\(505\) 40.3378 1.79501
\(506\) −0.0251669 + 0.0435903i −0.00111880 + 0.00193783i
\(507\) 0.767246 + 1.32891i 0.0340746 + 0.0590190i
\(508\) −2.58091 −0.114509
\(509\) 7.95848 + 13.7845i 0.352754 + 0.610987i 0.986731 0.162365i \(-0.0519121\pi\)
−0.633977 + 0.773352i \(0.718579\pi\)
\(510\) 0.933765 1.61733i 0.0413478 0.0716165i
\(511\) −19.9173 + 34.4978i −0.881089 + 1.52609i
\(512\) −31.8450 −1.40736
\(513\) −6.50008 + 11.2585i −0.286986 + 0.497074i
\(514\) 63.1972 2.78751
\(515\) −49.3695 −2.17548
\(516\) 3.91255 + 2.34674i 0.172240 + 0.103310i
\(517\) −0.0589050 −0.00259064
\(518\) 43.5129 1.91185
\(519\) 0.284220 0.492283i 0.0124759 0.0216088i
\(520\) 0.712749 0.0312561
\(521\) −13.7033 + 23.7349i −0.600354 + 1.03984i 0.392414 + 0.919789i \(0.371640\pi\)
−0.992767 + 0.120054i \(0.961693\pi\)
\(522\) −8.77055 + 15.1910i −0.383876 + 0.664894i
\(523\) 8.10661 + 14.0411i 0.354477 + 0.613972i 0.987028 0.160546i \(-0.0513255\pi\)
−0.632551 + 0.774519i \(0.717992\pi\)
\(524\) 21.8551 0.954743
\(525\) 1.19467 + 2.06924i 0.0521398 + 0.0903088i
\(526\) 5.24826 9.09026i 0.228835 0.396354i
\(527\) 6.04191 0.263190
\(528\) −0.00480485 + 0.00832224i −0.000209104 + 0.000362179i
\(529\) 4.36089 + 7.55329i 0.189604 + 0.328404i
\(530\) −28.2425 48.9175i −1.22678 2.12484i
\(531\) 11.7227 + 20.3044i 0.508724 + 0.881136i
\(532\) 40.9814 1.77677
\(533\) −4.82998 8.36578i −0.209210 0.362362i
\(534\) 4.68896 + 8.12152i 0.202911 + 0.351453i
\(535\) −14.0409 + 24.3196i −0.607041 + 1.05143i
\(536\) 0.418425 0.724733i 0.0180732 0.0313037i
\(537\) 2.61962 0.113045
\(538\) −17.3443 −0.747765
\(539\) −0.0136356 + 0.0236176i −0.000587327 + 0.00101728i
\(540\) −5.41893 + 9.38587i −0.233194 + 0.403903i
\(541\) 9.27793 + 16.0698i 0.398889 + 0.690896i 0.993589 0.113051i \(-0.0360625\pi\)
−0.594700 + 0.803948i \(0.702729\pi\)
\(542\) 18.4116 + 31.8898i 0.790844 + 1.36978i
\(543\) 4.95622 0.212692
\(544\) 3.98272 + 6.89827i 0.170758 + 0.295761i
\(545\) 10.3002 + 17.8405i 0.441213 + 0.764203i
\(546\) −4.88095 8.45406i −0.208885 0.361800i
\(547\) 9.69457 16.7915i 0.414510 0.717953i −0.580867 0.813999i \(-0.697286\pi\)
0.995377 + 0.0960461i \(0.0306196\pi\)
\(548\) −1.44860 −0.0618811
\(549\) 22.0654 38.2184i 0.941729 1.63112i
\(550\) 0.0135213 + 0.0234196i 0.000576551 + 0.000998616i
\(551\) 19.1683 0.816596
\(552\) −0.0431286 0.0747009i −0.00183567 0.00317948i
\(553\) 2.05072 3.55196i 0.0872056 0.151045i
\(554\) 5.03070 8.71343i 0.213734 0.370198i
\(555\) 6.15358 0.261205
\(556\) 13.9803 24.2146i 0.592897 1.02693i
\(557\) 9.57722 0.405800 0.202900 0.979199i \(-0.434963\pi\)
0.202900 + 0.979199i \(0.434963\pi\)
\(558\) −34.5995 −1.46471
\(559\) 23.8717 13.2567i 1.00967 0.560698i
\(560\) −35.8626 −1.51547
\(561\) 0.00236473 9.98388e−5
\(562\) −11.9197 + 20.6456i −0.502803 + 0.870880i
\(563\) 8.80375 0.371034 0.185517 0.982641i \(-0.440604\pi\)
0.185517 + 0.982641i \(0.440604\pi\)
\(564\) −3.06422 + 5.30738i −0.129027 + 0.223481i
\(565\) −4.57080 + 7.91686i −0.192295 + 0.333065i
\(566\) 4.38516 + 7.59532i 0.184322 + 0.319255i
\(567\) 26.2617 1.10289
\(568\) 0.223594 + 0.387277i 0.00938181 + 0.0162498i
\(569\) 6.81744 11.8082i 0.285802 0.495024i −0.687001 0.726656i \(-0.741073\pi\)
0.972803 + 0.231633i \(0.0744067\pi\)
\(570\) 11.6866 0.489499
\(571\) 0.674339 1.16799i 0.0282202 0.0488788i −0.851570 0.524240i \(-0.824349\pi\)
0.879791 + 0.475361i \(0.157683\pi\)
\(572\) −0.0273957 0.0474507i −0.00114547 0.00198401i
\(573\) 1.76571 + 3.05830i 0.0737637 + 0.127762i
\(574\) 7.68990 + 13.3193i 0.320970 + 0.555937i
\(575\) −7.67121 −0.319912
\(576\) −11.1242 19.2676i −0.463507 0.802818i
\(577\) −3.71995 6.44314i −0.154863 0.268231i 0.778146 0.628084i \(-0.216160\pi\)
−0.933009 + 0.359852i \(0.882827\pi\)
\(578\) 0.995941 1.72502i 0.0414257 0.0717514i
\(579\) −3.04068 + 5.26661i −0.126366 + 0.218873i
\(580\) 15.9801 0.663535
\(581\) −54.7575 −2.27172
\(582\) 3.97129 6.87847i 0.164615 0.285122i
\(583\) 0.0357616 0.0619409i 0.00148109 0.00256533i
\(584\) −0.386310 0.669108i −0.0159856 0.0276879i
\(585\) 15.8709 + 27.4893i 0.656183 + 1.13654i
\(586\) −33.2125 −1.37200
\(587\) 9.89790 + 17.1437i 0.408530 + 0.707595i 0.994725 0.102575i \(-0.0327082\pi\)
−0.586195 + 0.810170i \(0.699375\pi\)
\(588\) 1.41864 + 2.45716i 0.0585038 + 0.101331i
\(589\) 18.9045 + 32.7436i 0.778948 + 1.34918i
\(590\) 21.5349 37.2995i 0.886578 1.53560i
\(591\) −0.308765 −0.0127009
\(592\) −13.3359 + 23.0985i −0.548103 + 0.949342i
\(593\) −10.4456 18.0923i −0.428949 0.742961i 0.567831 0.823145i \(-0.307783\pi\)
−0.996780 + 0.0801840i \(0.974449\pi\)
\(594\) −0.0276726 −0.00113542
\(595\) 4.41248 + 7.64264i 0.180894 + 0.313318i
\(596\) −18.9992 + 32.9075i −0.778236 + 1.34794i
\(597\) 3.80276 6.58658i 0.155637 0.269571i
\(598\) 31.3415 1.28165
\(599\) 4.37080 7.57044i 0.178586 0.309320i −0.762810 0.646622i \(-0.776181\pi\)
0.941396 + 0.337302i \(0.109514\pi\)
\(600\) −0.0463431 −0.00189195
\(601\) 30.9457 1.26230 0.631151 0.775660i \(-0.282583\pi\)
0.631151 + 0.775660i \(0.282583\pi\)
\(602\) −38.0066 + 21.1062i −1.54903 + 0.860225i
\(603\) 37.2686 1.51770
\(604\) −22.9308 −0.933042
\(605\) 14.5829 25.2583i 0.592878 1.02689i
\(606\) 10.7156 0.435291
\(607\) 19.9436 34.5433i 0.809485 1.40207i −0.103736 0.994605i \(-0.533080\pi\)
0.913221 0.407465i \(-0.133587\pi\)
\(608\) −24.9231 + 43.1680i −1.01076 + 1.75069i
\(609\) 1.80253 + 3.12208i 0.0730424 + 0.126513i
\(610\) −81.0691 −3.28239
\(611\) 18.3393 + 31.7645i 0.741927 + 1.28505i
\(612\) −2.82837 + 4.89889i −0.114330 + 0.198026i
\(613\) −26.0425 −1.05185 −0.525924 0.850531i \(-0.676280\pi\)
−0.525924 + 0.850531i \(0.676280\pi\)
\(614\) −22.2054 + 38.4610i −0.896139 + 1.55216i
\(615\) 1.08750 + 1.88361i 0.0438524 + 0.0759546i
\(616\) −0.000718448 0.00124439i −2.89471e−5 5.01378e-5i
\(617\) 8.83739 + 15.3068i 0.355780 + 0.616229i 0.987251 0.159170i \(-0.0508819\pi\)
−0.631471 + 0.775399i \(0.717549\pi\)
\(618\) −13.1148 −0.527555
\(619\) 5.12931 + 8.88423i 0.206164 + 0.357087i 0.950503 0.310715i \(-0.100568\pi\)
−0.744339 + 0.667802i \(0.767235\pi\)
\(620\) 15.7602 + 27.2974i 0.632944 + 1.09629i
\(621\) 3.92495 6.79821i 0.157503 0.272803i
\(622\) 22.2772 38.5852i 0.893234 1.54713i
\(623\) −44.3151 −1.77545
\(624\) 5.98370 0.239540
\(625\) 15.5146 26.8721i 0.620585 1.07488i
\(626\) −7.14558 + 12.3765i −0.285595 + 0.494665i
\(627\) 0.00739900 + 0.0128154i 0.000295487 + 0.000511799i
\(628\) −0.0858578 0.148710i −0.00342610 0.00593418i
\(629\) 6.56332 0.261697
\(630\) −25.2684 43.7662i −1.00672 1.74369i
\(631\) 17.5496 + 30.3967i 0.698637 + 1.21007i 0.968939 + 0.247299i \(0.0795431\pi\)
−0.270302 + 0.962776i \(0.587124\pi\)
\(632\) 0.0397752 + 0.0688927i 0.00158217 + 0.00274041i
\(633\) −2.16288 + 3.74622i −0.0859669 + 0.148899i
\(634\) −25.2516 −1.00287
\(635\) 1.73896 3.01197i 0.0690086 0.119526i
\(636\) −3.72061 6.44429i −0.147532 0.255533i
\(637\) 16.9810 0.672814
\(638\) 0.0204011 + 0.0353357i 0.000807687 + 0.00139896i
\(639\) −9.95765 + 17.2472i −0.393918 + 0.682287i
\(640\) 0.684575 1.18572i 0.0270602 0.0468696i
\(641\) −23.2928 −0.920011 −0.460006 0.887916i \(-0.652153\pi\)
−0.460006 + 0.887916i \(0.652153\pi\)
\(642\) −3.72991 + 6.46039i −0.147208 + 0.254971i
\(643\) −1.52679 −0.0602106 −0.0301053 0.999547i \(-0.509584\pi\)
−0.0301053 + 0.999547i \(0.509584\pi\)
\(644\) −24.7458 −0.975123
\(645\) −5.37489 + 2.98484i −0.211636 + 0.117528i
\(646\) 12.4648 0.490421
\(647\) 22.1842 0.872150 0.436075 0.899910i \(-0.356368\pi\)
0.436075 + 0.899910i \(0.356368\pi\)
\(648\) −0.254682 + 0.441123i −0.0100049 + 0.0173289i
\(649\) 0.0545364 0.00214074
\(650\) 8.41936 14.5828i 0.330234 0.571983i
\(651\) −3.55547 + 6.15825i −0.139350 + 0.241361i
\(652\) 12.8368 + 22.2341i 0.502730 + 0.870753i
\(653\) 10.9431 0.428235 0.214117 0.976808i \(-0.431312\pi\)
0.214117 + 0.976808i \(0.431312\pi\)
\(654\) 2.73621 + 4.73926i 0.106994 + 0.185320i
\(655\) −14.7255 + 25.5053i −0.575372 + 0.996574i
\(656\) −9.42727 −0.368073
\(657\) 17.2041 29.7984i 0.671196 1.16254i
\(658\) −29.1982 50.5729i −1.13827 1.97153i
\(659\) 11.3970 + 19.7402i 0.443964 + 0.768969i 0.997979 0.0635380i \(-0.0202384\pi\)
−0.554015 + 0.832507i \(0.686905\pi\)
\(660\) 0.00616833 + 0.0106839i 0.000240102 + 0.000415869i
\(661\) −29.0897 −1.13146 −0.565728 0.824592i \(-0.691405\pi\)
−0.565728 + 0.824592i \(0.691405\pi\)
\(662\) −9.17020 15.8833i −0.356410 0.617320i
\(663\) −0.736225 1.27518i −0.0285926 0.0495239i
\(664\) 0.531030 0.919771i 0.0206080 0.0356940i
\(665\) −27.6124 + 47.8261i −1.07076 + 1.85462i
\(666\) −37.5854 −1.45640
\(667\) −11.5744 −0.448162
\(668\) −7.67395 + 13.2917i −0.296914 + 0.514270i
\(669\) −1.27367 + 2.20607i −0.0492430 + 0.0852914i
\(670\) −34.2316 59.2908i −1.32248 2.29060i
\(671\) −0.0513262 0.0888995i −0.00198143 0.00343193i
\(672\) −9.37479 −0.361641
\(673\) 0.580683 + 1.00577i 0.0223837 + 0.0387697i 0.877000 0.480490i \(-0.159541\pi\)
−0.854617 + 0.519260i \(0.826208\pi\)
\(674\) −10.6638 18.4702i −0.410754 0.711447i
\(675\) −2.10874 3.65245i −0.0811656 0.140583i
\(676\) −4.26921 + 7.39449i −0.164200 + 0.284404i
\(677\) 2.15692 0.0828973 0.0414487 0.999141i \(-0.486803\pi\)
0.0414487 + 0.999141i \(0.486803\pi\)
\(678\) −1.21422 + 2.10308i −0.0466317 + 0.0807684i
\(679\) 18.7662 + 32.5040i 0.720181 + 1.24739i
\(680\) −0.171166 −0.00656393
\(681\) −1.07342 1.85921i −0.0411334 0.0712452i
\(682\) −0.0402408 + 0.0696991i −0.00154090 + 0.00266892i
\(683\) 11.5504 20.0058i 0.441962 0.765500i −0.555873 0.831267i \(-0.687616\pi\)
0.997835 + 0.0657667i \(0.0209493\pi\)
\(684\) −35.3988 −1.35351
\(685\) 0.976035 1.69054i 0.0372924 0.0645923i
\(686\) 19.3721 0.739629
\(687\) −6.49970 −0.247979
\(688\) 0.444269 26.6442i 0.0169376 1.01580i
\(689\) −44.5355 −1.69667
\(690\) −7.05675 −0.268646
\(691\) −11.0193 + 19.0861i −0.419196 + 0.726068i −0.995859 0.0909139i \(-0.971021\pi\)
0.576663 + 0.816982i \(0.304355\pi\)
\(692\) 3.16299 0.120239
\(693\) 0.0319957 0.0554181i 0.00121542 0.00210516i
\(694\) −13.7531 + 23.8211i −0.522060 + 0.904235i
\(695\) 18.8393 + 32.6305i 0.714614 + 1.23775i
\(696\) −0.0699229 −0.00265042
\(697\) 1.15992 + 2.00904i 0.0439350 + 0.0760976i
\(698\) 4.24161 7.34669i 0.160547 0.278076i
\(699\) 9.40553 0.355750
\(700\) −6.64756 + 11.5139i −0.251254 + 0.435185i
\(701\) 12.6063 + 21.8348i 0.476135 + 0.824690i 0.999626 0.0273412i \(-0.00870405\pi\)
−0.523491 + 0.852031i \(0.675371\pi\)
\(702\) 8.61547 + 14.9224i 0.325170 + 0.563211i
\(703\) 20.5360 + 35.5694i 0.774530 + 1.34152i
\(704\) −0.0517517 −0.00195046
\(705\) −4.12921 7.15200i −0.155515 0.269360i
\(706\) 10.6788 + 18.4961i 0.401900 + 0.696112i
\(707\) −25.3181 + 43.8522i −0.952185 + 1.64923i
\(708\) 2.83697 4.91377i 0.106620 0.184671i
\(709\) 40.4095 1.51761 0.758805 0.651318i \(-0.225784\pi\)
0.758805 + 0.651318i \(0.225784\pi\)
\(710\) 36.5848 1.37300
\(711\) −1.77137 + 3.06810i −0.0664315 + 0.115063i
\(712\) 0.429762 0.744369i 0.0161060 0.0278964i
\(713\) −11.4151 19.7716i −0.427500 0.740452i
\(714\) 1.17216 + 2.03024i 0.0438669 + 0.0759797i
\(715\) 0.0738346 0.00276126
\(716\) 7.28822 + 12.6236i 0.272374 + 0.471765i
\(717\) 0.965072 + 1.67155i 0.0360413 + 0.0624253i
\(718\) 8.49463 + 14.7131i 0.317017 + 0.549089i
\(719\) 10.8147 18.7315i 0.403319 0.698569i −0.590805 0.806814i \(-0.701190\pi\)
0.994124 + 0.108245i \(0.0345232\pi\)
\(720\) 30.9773 1.15445
\(721\) 30.9868 53.6707i 1.15401 1.99880i
\(722\) 20.0783 + 34.7766i 0.747236 + 1.29425i
\(723\) −4.08745 −0.152014
\(724\) 13.7890 + 23.8833i 0.512465 + 0.887616i
\(725\) −3.10927 + 5.38541i −0.115475 + 0.200009i
\(726\) 3.87388 6.70976i 0.143773 0.249023i
\(727\) −37.2686 −1.38221 −0.691107 0.722752i \(-0.742877\pi\)
−0.691107 + 0.722752i \(0.742877\pi\)
\(728\) −0.447358 + 0.774847i −0.0165802 + 0.0287177i
\(729\) −20.4805 −0.758536
\(730\) −63.2085 −2.33945
\(731\) −5.73278 + 3.18359i −0.212035 + 0.117749i
\(732\) −10.6799 −0.394740
\(733\) 32.4334 1.19796 0.598978 0.800765i \(-0.295574\pi\)
0.598978 + 0.800765i \(0.295574\pi\)
\(734\) −14.4696 + 25.0622i −0.534084 + 0.925061i
\(735\) −3.82340 −0.141028
\(736\) 15.0493 26.0662i 0.554725 0.960811i
\(737\) 0.0433451 0.0750759i 0.00159664 0.00276546i
\(738\) −6.64236 11.5049i −0.244509 0.423501i
\(739\) −6.69593 −0.246314 −0.123157 0.992387i \(-0.539302\pi\)
−0.123157 + 0.992387i \(0.539302\pi\)
\(740\) 17.1203 + 29.6532i 0.629354 + 1.09007i
\(741\) 4.60715 7.97982i 0.169248 0.293146i
\(742\) 70.9058 2.60303
\(743\) 6.93918 12.0190i 0.254574 0.440935i −0.710206 0.703994i \(-0.751398\pi\)
0.964780 + 0.263059i \(0.0847315\pi\)
\(744\) −0.0689608 0.119444i −0.00252822 0.00437901i
\(745\) −25.6025 44.3448i −0.938002 1.62467i
\(746\) 25.6304 + 44.3932i 0.938396 + 1.62535i
\(747\) 47.2982 1.73055
\(748\) 0.00657906 + 0.0113953i 0.000240554 + 0.000416652i
\(749\) −17.6256 30.5284i −0.644025 1.11548i
\(750\) 2.77315 4.80323i 0.101261 0.175389i
\(751\) 11.6042 20.0991i 0.423444 0.733427i −0.572830 0.819674i \(-0.694154\pi\)
0.996274 + 0.0862478i \(0.0274877\pi\)
\(752\) 35.7950 1.30531
\(753\) 0.234112 0.00853153
\(754\) 12.7032 22.0026i 0.462624 0.801288i
\(755\) 15.4503 26.7607i 0.562294 0.973922i
\(756\) −6.80240 11.7821i −0.247401 0.428511i
\(757\) −15.2056 26.3368i −0.552656 0.957228i −0.998082 0.0619094i \(-0.980281\pi\)
0.445426 0.895319i \(-0.353052\pi\)
\(758\) 0.997826 0.0362427
\(759\) −0.00446774 0.00773835i −0.000162169 0.000280884i
\(760\) −0.535562 0.927621i −0.0194269 0.0336484i
\(761\) −18.8220 32.6007i −0.682297 1.18177i −0.974278 0.225349i \(-0.927648\pi\)
0.291981 0.956424i \(-0.405686\pi\)
\(762\) 0.461948 0.800117i 0.0167346 0.0289852i
\(763\) −25.8598 −0.936187
\(764\) −9.82501 + 17.0174i −0.355456 + 0.615668i
\(765\) −3.81140 6.60153i −0.137801 0.238679i
\(766\) 58.4208 2.11083
\(767\) −16.9792 29.4088i −0.613082 1.06189i