Properties

Label 731.2.j.a.135.20
Level 731
Weight 2
Character 731.135
Analytic conductor 5.837
Analytic rank 0
Dimension 128
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.j (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(64\) over \(\Q(\zeta_{6})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 135.20
Character \(\chi\) = 731.135
Dual form 731.2.j.a.509.20

$q$-expansion

\(f(q)\) \(=\) \(q-1.28732 q^{2} +(1.78909 + 1.03293i) q^{3} -0.342809 q^{4} +(-0.933959 - 0.539221i) q^{5} +(-2.30313 - 1.32971i) q^{6} +(-3.12985 + 1.80702i) q^{7} +3.01594 q^{8} +(0.633889 + 1.09793i) q^{9} +O(q^{10})\) \(q-1.28732 q^{2} +(1.78909 + 1.03293i) q^{3} -0.342809 q^{4} +(-0.933959 - 0.539221i) q^{5} +(-2.30313 - 1.32971i) q^{6} +(-3.12985 + 1.80702i) q^{7} +3.01594 q^{8} +(0.633889 + 1.09793i) q^{9} +(1.20230 + 0.694150i) q^{10} -0.177327i q^{11} +(-0.613316 - 0.354098i) q^{12} +(1.54576 + 2.67733i) q^{13} +(4.02912 - 2.32621i) q^{14} +(-1.11396 - 1.92943i) q^{15} -3.19686 q^{16} +(3.03943 - 2.78601i) q^{17} +(-0.816018 - 1.41338i) q^{18} +(-3.12605 + 5.41448i) q^{19} +(0.320170 + 0.184850i) q^{20} -7.46611 q^{21} +0.228276i q^{22} +(-2.81165 - 1.62330i) q^{23} +(5.39579 + 3.11526i) q^{24} +(-1.91848 - 3.32291i) q^{25} +(-1.98988 - 3.44658i) q^{26} -3.57853i q^{27} +(1.07294 - 0.619463i) q^{28} +(-8.29720 + 4.79039i) q^{29} +(1.43402 + 2.48379i) q^{30} +(-4.80690 - 2.77526i) q^{31} -1.91650 q^{32} +(0.183166 - 0.317253i) q^{33} +(-3.91272 + 3.58649i) q^{34} +3.89754 q^{35} +(-0.217303 - 0.376380i) q^{36} +(-8.63973 - 4.98815i) q^{37} +(4.02422 - 6.97016i) q^{38} +6.38664i q^{39} +(-2.81677 - 1.62626i) q^{40} +2.79126i q^{41} +9.61126 q^{42} +(-2.00435 + 6.24360i) q^{43} +0.0607892i q^{44} -1.36723i q^{45} +(3.61949 + 2.08971i) q^{46} -7.36141 q^{47} +(-5.71947 - 3.30214i) q^{48} +(3.03065 - 5.24924i) q^{49} +(2.46970 + 4.27764i) q^{50} +(8.31556 - 1.84491i) q^{51} +(-0.529900 - 0.917813i) q^{52} +(2.82653 - 4.89570i) q^{53} +4.60671i q^{54} +(-0.0956184 + 0.165616i) q^{55} +(-9.43946 + 5.44987i) q^{56} +(-11.1856 + 6.45798i) q^{57} +(10.6812 - 6.16677i) q^{58} +10.3588 q^{59} +(0.381874 + 0.661426i) q^{60} +(4.31816 - 2.49309i) q^{61} +(6.18801 + 3.57265i) q^{62} +(-3.96796 - 2.29090i) q^{63} +8.86088 q^{64} -3.33402i q^{65} +(-0.235793 + 0.408406i) q^{66} +(6.45627 - 11.1826i) q^{67} +(-1.04194 + 0.955071i) q^{68} +(-3.35352 - 5.80847i) q^{69} -5.01738 q^{70} +(-5.19633 + 3.00010i) q^{71} +(1.91177 + 3.31129i) q^{72} +(-10.7620 + 6.21343i) q^{73} +(11.1221 + 6.42134i) q^{74} -7.92663i q^{75} +(1.07164 - 1.85613i) q^{76} +(0.320433 + 0.555007i) q^{77} -8.22164i q^{78} +(4.09496 - 2.36422i) q^{79} +(2.98574 + 1.72382i) q^{80} +(5.59804 - 9.69608i) q^{81} -3.59324i q^{82} +(-5.26997 + 9.12786i) q^{83} +2.55945 q^{84} +(-4.34098 + 0.963098i) q^{85} +(2.58024 - 8.03751i) q^{86} -19.7926 q^{87} -0.534808i q^{88} +(-6.29446 + 10.9023i) q^{89} +1.76006i q^{90} +(-9.67599 - 5.58643i) q^{91} +(0.963858 + 0.556484i) q^{92} +(-5.73331 - 9.93038i) q^{93} +9.47648 q^{94} +(5.83920 - 3.37127i) q^{95} +(-3.42879 - 1.97961i) q^{96} +3.39436i q^{97} +(-3.90142 + 6.75745i) q^{98} +(0.194692 - 0.112406i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q - 4q^{2} + 116q^{4} - 12q^{8} + 70q^{9} + O(q^{10}) \) \( 128q - 4q^{2} + 116q^{4} - 12q^{8} + 70q^{9} + 4q^{13} - 12q^{15} + 76q^{16} + 2q^{17} - 16q^{18} - 2q^{19} - 20q^{21} + 60q^{25} - 2q^{26} - 28q^{30} - 48q^{32} + 22q^{33} - 18q^{34} - 112q^{35} + 36q^{36} - 40q^{38} + 36q^{42} + 10q^{43} + 36q^{47} + 52q^{49} + 16q^{50} + 10q^{51} + 10q^{52} + 24q^{55} - 12q^{59} - 78q^{60} + 36q^{64} + 14q^{66} + 10q^{67} - q^{68} - 64q^{70} - 68q^{72} - 22q^{76} - 28q^{77} - 20q^{81} - 6q^{83} + 32q^{84} + 6q^{85} - 58q^{86} + 32q^{87} + 36q^{89} + 6q^{93} + 132q^{94} - 48q^{98} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.28732 −0.910272 −0.455136 0.890422i \(-0.650409\pi\)
−0.455136 + 0.890422i \(0.650409\pi\)
\(3\) 1.78909 + 1.03293i 1.03293 + 0.596363i 0.917823 0.396991i \(-0.129945\pi\)
0.115107 + 0.993353i \(0.463279\pi\)
\(4\) −0.342809 −0.171405
\(5\) −0.933959 0.539221i −0.417679 0.241147i 0.276405 0.961041i \(-0.410857\pi\)
−0.694084 + 0.719894i \(0.744190\pi\)
\(6\) −2.30313 1.32971i −0.940248 0.542852i
\(7\) −3.12985 + 1.80702i −1.18297 + 0.682990i −0.956701 0.291074i \(-0.905987\pi\)
−0.226273 + 0.974064i \(0.572654\pi\)
\(8\) 3.01594 1.06630
\(9\) 0.633889 + 1.09793i 0.211296 + 0.365976i
\(10\) 1.20230 + 0.694150i 0.380202 + 0.219510i
\(11\) 0.177327i 0.0534660i −0.999643 0.0267330i \(-0.991490\pi\)
0.999643 0.0267330i \(-0.00851040\pi\)
\(12\) −0.613316 0.354098i −0.177049 0.102219i
\(13\) 1.54576 + 2.67733i 0.428716 + 0.742558i 0.996759 0.0804407i \(-0.0256327\pi\)
−0.568043 + 0.822999i \(0.692299\pi\)
\(14\) 4.02912 2.32621i 1.07683 0.621707i
\(15\) −1.11396 1.92943i −0.287622 0.498176i
\(16\) −3.19686 −0.799216
\(17\) 3.03943 2.78601i 0.737170 0.675708i
\(18\) −0.816018 1.41338i −0.192337 0.333138i
\(19\) −3.12605 + 5.41448i −0.717165 + 1.24217i 0.244954 + 0.969535i \(0.421227\pi\)
−0.962119 + 0.272631i \(0.912106\pi\)
\(20\) 0.320170 + 0.184850i 0.0715921 + 0.0413337i
\(21\) −7.46611 −1.62924
\(22\) 0.228276i 0.0486686i
\(23\) −2.81165 1.62330i −0.586269 0.338482i 0.177352 0.984147i \(-0.443247\pi\)
−0.763621 + 0.645665i \(0.776580\pi\)
\(24\) 5.39579 + 3.11526i 1.10141 + 0.635900i
\(25\) −1.91848 3.32291i −0.383696 0.664581i
\(26\) −1.98988 3.44658i −0.390248 0.675930i
\(27\) 3.57853i 0.688688i
\(28\) 1.07294 0.619463i 0.202767 0.117068i
\(29\) −8.29720 + 4.79039i −1.54075 + 0.889554i −0.541961 + 0.840404i \(0.682318\pi\)
−0.998791 + 0.0491498i \(0.984349\pi\)
\(30\) 1.43402 + 2.48379i 0.261815 + 0.453476i
\(31\) −4.80690 2.77526i −0.863344 0.498452i 0.00178654 0.999998i \(-0.499431\pi\)
−0.865131 + 0.501546i \(0.832765\pi\)
\(32\) −1.91650 −0.338793
\(33\) 0.183166 0.317253i 0.0318851 0.0552267i
\(34\) −3.91272 + 3.58649i −0.671025 + 0.615078i
\(35\) 3.89754 0.658804
\(36\) −0.217303 0.376380i −0.0362172 0.0627300i
\(37\) −8.63973 4.98815i −1.42036 0.820047i −0.424033 0.905647i \(-0.639386\pi\)
−0.996330 + 0.0856001i \(0.972719\pi\)
\(38\) 4.02422 6.97016i 0.652815 1.13071i
\(39\) 6.38664i 1.02268i
\(40\) −2.81677 1.62626i −0.445370 0.257135i
\(41\) 2.79126i 0.435921i 0.975958 + 0.217961i \(0.0699405\pi\)
−0.975958 + 0.217961i \(0.930060\pi\)
\(42\) 9.61126 1.48305
\(43\) −2.00435 + 6.24360i −0.305661 + 0.952141i
\(44\) 0.0607892i 0.00916432i
\(45\) 1.36723i 0.203814i
\(46\) 3.61949 + 2.08971i 0.533664 + 0.308111i
\(47\) −7.36141 −1.07377 −0.536886 0.843655i \(-0.680399\pi\)
−0.536886 + 0.843655i \(0.680399\pi\)
\(48\) −5.71947 3.30214i −0.825534 0.476622i
\(49\) 3.03065 5.24924i 0.432950 0.749892i
\(50\) 2.46970 + 4.27764i 0.349268 + 0.604950i
\(51\) 8.31556 1.84491i 1.16441 0.258338i
\(52\) −0.529900 0.917813i −0.0734839 0.127278i
\(53\) 2.82653 4.89570i 0.388254 0.672476i −0.603961 0.797014i \(-0.706412\pi\)
0.992215 + 0.124538i \(0.0397450\pi\)
\(54\) 4.60671i 0.626893i
\(55\) −0.0956184 + 0.165616i −0.0128932 + 0.0223316i
\(56\) −9.43946 + 5.44987i −1.26140 + 0.728270i
\(57\) −11.1856 + 6.45798i −1.48156 + 0.855381i
\(58\) 10.6812 6.16677i 1.40250 0.809736i
\(59\) 10.3588 1.34860 0.674302 0.738456i \(-0.264445\pi\)
0.674302 + 0.738456i \(0.264445\pi\)
\(60\) 0.381874 + 0.661426i 0.0492998 + 0.0853897i
\(61\) 4.31816 2.49309i 0.552884 0.319208i −0.197400 0.980323i \(-0.563250\pi\)
0.750284 + 0.661115i \(0.229917\pi\)
\(62\) 6.18801 + 3.57265i 0.785878 + 0.453727i
\(63\) −3.96796 2.29090i −0.499916 0.288627i
\(64\) 8.86088 1.10761
\(65\) 3.33402i 0.413535i
\(66\) −0.235793 + 0.408406i −0.0290242 + 0.0502713i
\(67\) 6.45627 11.1826i 0.788758 1.36617i −0.137969 0.990436i \(-0.544058\pi\)
0.926728 0.375733i \(-0.122609\pi\)
\(68\) −1.04194 + 0.955071i −0.126354 + 0.115819i
\(69\) −3.35352 5.80847i −0.403716 0.699257i
\(70\) −5.01738 −0.599691
\(71\) −5.19633 + 3.00010i −0.616691 + 0.356047i −0.775580 0.631250i \(-0.782542\pi\)
0.158888 + 0.987297i \(0.449209\pi\)
\(72\) 1.91177 + 3.31129i 0.225305 + 0.390239i
\(73\) −10.7620 + 6.21343i −1.25959 + 0.727226i −0.972995 0.230824i \(-0.925858\pi\)
−0.286598 + 0.958051i \(0.592524\pi\)
\(74\) 11.1221 + 6.42134i 1.29292 + 0.746466i
\(75\) 7.92663i 0.915288i
\(76\) 1.07164 1.85613i 0.122925 0.212913i
\(77\) 0.320433 + 0.555007i 0.0365168 + 0.0632489i
\(78\) 8.22164i 0.930918i
\(79\) 4.09496 2.36422i 0.460719 0.265996i −0.251628 0.967824i \(-0.580966\pi\)
0.712346 + 0.701828i \(0.247633\pi\)
\(80\) 2.98574 + 1.72382i 0.333816 + 0.192729i
\(81\) 5.59804 9.69608i 0.622004 1.07734i
\(82\) 3.59324i 0.396807i
\(83\) −5.26997 + 9.12786i −0.578455 + 1.00191i 0.417202 + 0.908814i \(0.363011\pi\)
−0.995657 + 0.0930992i \(0.970323\pi\)
\(84\) 2.55945 0.279259
\(85\) −4.34098 + 0.963098i −0.470845 + 0.104463i
\(86\) 2.58024 8.03751i 0.278234 0.866707i
\(87\) −19.7926 −2.12199
\(88\) 0.534808i 0.0570107i
\(89\) −6.29446 + 10.9023i −0.667211 + 1.15564i 0.311469 + 0.950256i \(0.399179\pi\)
−0.978681 + 0.205388i \(0.934154\pi\)
\(90\) 1.76006i 0.185526i
\(91\) −9.67599 5.58643i −1.01432 0.585617i
\(92\) 0.963858 + 0.556484i 0.100489 + 0.0580174i
\(93\) −5.73331 9.93038i −0.594516 1.02973i
\(94\) 9.47648 0.977425
\(95\) 5.83920 3.37127i 0.599090 0.345885i
\(96\) −3.42879 1.97961i −0.349949 0.202043i
\(97\) 3.39436i 0.344645i 0.985041 + 0.172322i \(0.0551271\pi\)
−0.985041 + 0.172322i \(0.944873\pi\)
\(98\) −3.90142 + 6.75745i −0.394103 + 0.682606i
\(99\) 0.194692 0.112406i 0.0195673 0.0112972i
\(100\) 0.657673 + 1.13912i 0.0657673 + 0.113912i
\(101\) −3.02047 5.23160i −0.300548 0.520564i 0.675712 0.737165i \(-0.263836\pi\)
−0.976260 + 0.216602i \(0.930503\pi\)
\(102\) −10.7048 + 2.37498i −1.05993 + 0.235158i
\(103\) 9.33686 + 16.1719i 0.919988 + 1.59347i 0.799429 + 0.600761i \(0.205135\pi\)
0.120559 + 0.992706i \(0.461531\pi\)
\(104\) 4.66192 + 8.07468i 0.457139 + 0.791787i
\(105\) 6.97304 + 4.02589i 0.680499 + 0.392886i
\(106\) −3.63865 + 6.30233i −0.353417 + 0.612136i
\(107\) 13.4825i 1.30341i 0.758474 + 0.651703i \(0.225945\pi\)
−0.758474 + 0.651703i \(0.774055\pi\)
\(108\) 1.22675i 0.118044i
\(109\) −9.40354 5.42914i −0.900696 0.520017i −0.0232698 0.999729i \(-0.507408\pi\)
−0.877426 + 0.479712i \(0.840741\pi\)
\(110\) 0.123091 0.213201i 0.0117363 0.0203279i
\(111\) −10.3048 17.8485i −0.978090 1.69410i
\(112\) 10.0057 5.77680i 0.945451 0.545856i
\(113\) 1.70186i 0.160097i 0.996791 + 0.0800487i \(0.0255076\pi\)
−0.996791 + 0.0800487i \(0.974492\pi\)
\(114\) 14.3994 8.31348i 1.34863 0.778629i
\(115\) 1.75064 + 3.03220i 0.163248 + 0.282754i
\(116\) 2.84436 1.64219i 0.264092 0.152474i
\(117\) −1.95968 + 3.39426i −0.181172 + 0.313800i
\(118\) −13.3351 −1.22760
\(119\) −4.47858 + 14.2121i −0.410551 + 1.30282i
\(120\) −3.35963 5.81905i −0.306691 0.531204i
\(121\) 10.9686 0.997141
\(122\) −5.55885 + 3.20941i −0.503275 + 0.290566i
\(123\) −2.88318 + 4.99381i −0.259967 + 0.450276i
\(124\) 1.64785 + 0.951386i 0.147981 + 0.0854369i
\(125\) 9.53016i 0.852403i
\(126\) 5.10803 + 2.94912i 0.455060 + 0.262729i
\(127\) −8.99424 −0.798110 −0.399055 0.916927i \(-0.630662\pi\)
−0.399055 + 0.916927i \(0.630662\pi\)
\(128\) −7.57377 −0.669433
\(129\) −10.0352 + 9.10000i −0.883547 + 0.801210i
\(130\) 4.29195i 0.376429i
\(131\) 3.82898i 0.334540i −0.985911 0.167270i \(-0.946505\pi\)
0.985911 0.167270i \(-0.0534951\pi\)
\(132\) −0.0627910 + 0.108757i −0.00546526 + 0.00946610i
\(133\) 22.5954i 1.95927i
\(134\) −8.31128 + 14.3956i −0.717985 + 1.24359i
\(135\) −1.92962 + 3.34220i −0.166075 + 0.287651i
\(136\) 9.16674 8.40246i 0.786042 0.720505i
\(137\) 10.9588 0.936272 0.468136 0.883656i \(-0.344926\pi\)
0.468136 + 0.883656i \(0.344926\pi\)
\(138\) 4.31705 + 7.47735i 0.367492 + 0.636514i
\(139\) −11.5217 6.65207i −0.977260 0.564221i −0.0758182 0.997122i \(-0.524157\pi\)
−0.901442 + 0.432900i \(0.857490\pi\)
\(140\) −1.33611 −0.112922
\(141\) −13.1702 7.60382i −1.10913 0.640357i
\(142\) 6.68934 3.86209i 0.561357 0.324100i
\(143\) 0.474762 0.274104i 0.0397016 0.0229217i
\(144\) −2.02646 3.50993i −0.168872 0.292494i
\(145\) 10.3323 0.858053
\(146\) 13.8541 7.99866i 1.14657 0.661974i
\(147\) 10.8442 6.26091i 0.894415 0.516391i
\(148\) 2.96178 + 1.70998i 0.243457 + 0.140560i
\(149\) 8.83069 15.2952i 0.723439 1.25303i −0.236175 0.971711i \(-0.575894\pi\)
0.959613 0.281322i \(-0.0907729\pi\)
\(150\) 10.2041i 0.833161i
\(151\) 1.55509 0.126552 0.0632758 0.997996i \(-0.479845\pi\)
0.0632758 + 0.997996i \(0.479845\pi\)
\(152\) −9.42799 + 16.3298i −0.764711 + 1.32452i
\(153\) 4.98551 + 1.57105i 0.403054 + 0.127012i
\(154\) −0.412500 0.714471i −0.0332402 0.0575737i
\(155\) 2.99296 + 5.18396i 0.240401 + 0.416386i
\(156\) 2.18940i 0.175292i
\(157\) −4.30846 7.46247i −0.343852 0.595570i 0.641292 0.767297i \(-0.278399\pi\)
−0.985145 + 0.171727i \(0.945065\pi\)
\(158\) −5.27152 + 3.04351i −0.419379 + 0.242129i
\(159\) 10.1138 5.83922i 0.802079 0.463080i
\(160\) 1.78993 + 1.03342i 0.141507 + 0.0816990i
\(161\) 11.7334 0.924720
\(162\) −7.20646 + 12.4820i −0.566193 + 0.980675i
\(163\) −6.79190 + 3.92130i −0.531983 + 0.307140i −0.741823 0.670595i \(-0.766039\pi\)
0.209841 + 0.977736i \(0.432705\pi\)
\(164\) 0.956869i 0.0747189i
\(165\) −0.342139 + 0.197534i −0.0266355 + 0.0153780i
\(166\) 6.78414 11.7505i 0.526551 0.912013i
\(167\) 17.2909 + 9.98292i 1.33801 + 0.772502i 0.986512 0.163686i \(-0.0523385\pi\)
0.351500 + 0.936188i \(0.385672\pi\)
\(168\) −22.5174 −1.73725
\(169\) 1.72127 2.98132i 0.132405 0.229332i
\(170\) 5.58823 1.23981i 0.428597 0.0950894i
\(171\) −7.92628 −0.606138
\(172\) 0.687109 2.14036i 0.0523916 0.163201i
\(173\) 23.0689i 1.75389i 0.480586 + 0.876947i \(0.340424\pi\)
−0.480586 + 0.876947i \(0.659576\pi\)
\(174\) 25.4794 1.93158
\(175\) 12.0091 + 6.93347i 0.907804 + 0.524121i
\(176\) 0.566890i 0.0427309i
\(177\) 18.5328 + 10.6999i 1.39301 + 0.804257i
\(178\) 8.10298 14.0348i 0.607344 1.05195i
\(179\) 8.01703 + 13.8859i 0.599221 + 1.03788i 0.992936 + 0.118648i \(0.0378561\pi\)
−0.393716 + 0.919232i \(0.628811\pi\)
\(180\) 0.468698i 0.0349347i
\(181\) 5.57176 3.21686i 0.414146 0.239107i −0.278424 0.960458i \(-0.589812\pi\)
0.692570 + 0.721351i \(0.256479\pi\)
\(182\) 12.4561 + 7.19152i 0.923307 + 0.533071i
\(183\) 10.3008 0.761454
\(184\) −8.47976 4.89579i −0.625136 0.360923i
\(185\) 5.37943 + 9.31745i 0.395504 + 0.685033i
\(186\) 7.38060 + 12.7836i 0.541172 + 0.937337i
\(187\) −0.494035 0.538972i −0.0361274 0.0394135i
\(188\) 2.52356 0.184049
\(189\) 6.46647 + 11.2003i 0.470367 + 0.814699i
\(190\) −7.51692 + 4.33990i −0.545335 + 0.314849i
\(191\) −1.56176 + 2.70505i −0.113005 + 0.195730i −0.916980 0.398932i \(-0.869381\pi\)
0.803976 + 0.594662i \(0.202714\pi\)
\(192\) 15.8529 + 9.15267i 1.14408 + 0.660537i
\(193\) 22.5076i 1.62013i −0.586340 0.810065i \(-0.699432\pi\)
0.586340 0.810065i \(-0.300568\pi\)
\(194\) 4.36962i 0.313720i
\(195\) 3.44381 5.96486i 0.246617 0.427152i
\(196\) −1.03894 + 1.79949i −0.0742097 + 0.128535i
\(197\) 0.772951 0.446264i 0.0550705 0.0317950i −0.472212 0.881485i \(-0.656544\pi\)
0.527282 + 0.849690i \(0.323211\pi\)
\(198\) −0.250631 + 0.144702i −0.0178116 + 0.0102835i
\(199\) 16.9316i 1.20025i 0.799906 + 0.600126i \(0.204883\pi\)
−0.799906 + 0.600126i \(0.795117\pi\)
\(200\) −5.78603 10.0217i −0.409134 0.708641i
\(201\) 23.1016 13.3377i 1.62946 0.940772i
\(202\) 3.88830 + 6.73474i 0.273580 + 0.473855i
\(203\) 17.3127 29.9865i 1.21511 2.10464i
\(204\) −2.85065 + 0.632450i −0.199585 + 0.0442804i
\(205\) 1.50511 2.60692i 0.105121 0.182075i
\(206\) −12.0195 20.8184i −0.837440 1.45049i
\(207\) 4.11598i 0.286081i
\(208\) −4.94158 8.55906i −0.342637 0.593464i
\(209\) 0.960132 + 0.554332i 0.0664137 + 0.0383440i
\(210\) −8.97653 5.18260i −0.619439 0.357633i
\(211\) 6.06357i 0.417433i −0.977976 0.208717i \(-0.933071\pi\)
0.977976 0.208717i \(-0.0669286\pi\)
\(212\) −0.968961 + 1.67829i −0.0665485 + 0.115265i
\(213\) −12.3956 −0.849332
\(214\) 17.3563i 1.18645i
\(215\) 5.23867 4.75048i 0.357274 0.323980i
\(216\) 10.7926i 0.734346i
\(217\) 20.0598 1.36175
\(218\) 12.1054 + 6.98903i 0.819878 + 0.473357i
\(219\) −25.6721 −1.73476
\(220\) 0.0327789 0.0567747i 0.00220995 0.00382775i
\(221\) 12.1573 + 3.83105i 0.817789 + 0.257705i
\(222\) 13.2656 + 22.9767i 0.890328 + 1.54209i
\(223\) −26.0662 −1.74553 −0.872763 0.488145i \(-0.837674\pi\)
−0.872763 + 0.488145i \(0.837674\pi\)
\(224\) 5.99837 3.46316i 0.400783 0.231392i
\(225\) 2.43221 4.21271i 0.162147 0.280847i
\(226\) 2.19084i 0.145732i
\(227\) 18.6870 + 10.7889i 1.24030 + 0.716086i 0.969155 0.246454i \(-0.0792654\pi\)
0.271142 + 0.962539i \(0.412599\pi\)
\(228\) 3.83451 2.21386i 0.253947 0.146616i
\(229\) 13.4158 + 23.2369i 0.886542 + 1.53554i 0.843936 + 0.536444i \(0.180233\pi\)
0.0426062 + 0.999092i \(0.486434\pi\)
\(230\) −2.25363 3.90341i −0.148600 0.257383i
\(231\) 1.32394i 0.0871089i
\(232\) −25.0239 + 14.4476i −1.64290 + 0.948528i
\(233\) 3.95948 2.28600i 0.259394 0.149761i −0.364664 0.931139i \(-0.618816\pi\)
0.624058 + 0.781378i \(0.285483\pi\)
\(234\) 2.52273 4.36950i 0.164916 0.285643i
\(235\) 6.87525 + 3.96943i 0.448492 + 0.258937i
\(236\) −3.55110 −0.231157
\(237\) 9.76832 0.634520
\(238\) 5.76536 18.2955i 0.373713 1.18592i
\(239\) −2.19407 + 3.80024i −0.141923 + 0.245817i −0.928221 0.372030i \(-0.878662\pi\)
0.786298 + 0.617848i \(0.211995\pi\)
\(240\) 3.56117 + 6.16812i 0.229872 + 0.398150i
\(241\) −5.78403 + 3.33941i −0.372582 + 0.215111i −0.674586 0.738196i \(-0.735678\pi\)
0.302004 + 0.953307i \(0.402345\pi\)
\(242\) −14.1200 −0.907670
\(243\) 10.7335 6.19697i 0.688552 0.397536i
\(244\) −1.48031 + 0.854655i −0.0947668 + 0.0547137i
\(245\) −5.66101 + 3.26839i −0.361669 + 0.208810i
\(246\) 3.71157 6.42862i 0.236641 0.409874i
\(247\) −19.3285 −1.22984
\(248\) −14.4973 8.37004i −0.920581 0.531498i
\(249\) −18.8569 + 10.8870i −1.19501 + 0.689937i
\(250\) 12.2684i 0.775919i
\(251\) −9.67163 16.7518i −0.610468 1.05736i −0.991162 0.132660i \(-0.957648\pi\)
0.380694 0.924701i \(-0.375685\pi\)
\(252\) 1.36025 + 0.785343i 0.0856879 + 0.0494719i
\(253\) −0.287855 + 0.498580i −0.0180973 + 0.0313455i
\(254\) 11.5785 0.726497
\(255\) −8.76121 2.76086i −0.548648 0.172892i
\(256\) −7.97189 −0.498243
\(257\) −17.1199 −1.06791 −0.533956 0.845512i \(-0.679295\pi\)
−0.533956 + 0.845512i \(0.679295\pi\)
\(258\) 12.9185 11.7146i 0.804268 0.729319i
\(259\) 36.0548 2.24033
\(260\) 1.14293i 0.0708817i
\(261\) −10.5190 6.07316i −0.651111 0.375919i
\(262\) 4.92912i 0.304522i
\(263\) 6.68360 11.5763i 0.412129 0.713828i −0.582994 0.812477i \(-0.698119\pi\)
0.995122 + 0.0986489i \(0.0314521\pi\)
\(264\) 0.552419 0.956817i 0.0339990 0.0588880i
\(265\) −5.27973 + 3.04825i −0.324331 + 0.187253i
\(266\) 29.0874i 1.78347i
\(267\) −22.5227 + 13.0035i −1.37837 + 0.795800i
\(268\) −2.21327 + 3.83349i −0.135197 + 0.234168i
\(269\) 6.27199i 0.382410i −0.981550 0.191205i \(-0.938760\pi\)
0.981550 0.191205i \(-0.0612396\pi\)
\(270\) 2.48404 4.30248i 0.151174 0.261840i
\(271\) 12.9037 + 22.3499i 0.783845 + 1.35766i 0.929687 + 0.368352i \(0.120078\pi\)
−0.145841 + 0.989308i \(0.546589\pi\)
\(272\) −9.71664 + 8.90651i −0.589158 + 0.540036i
\(273\) −11.5408 19.9892i −0.698481 1.20980i
\(274\) −14.1075 −0.852263
\(275\) −0.589240 + 0.340198i −0.0355325 + 0.0205147i
\(276\) 1.14962 + 1.99120i 0.0691988 + 0.119856i
\(277\) 0.703887 + 0.406389i 0.0422925 + 0.0244176i 0.520997 0.853558i \(-0.325560\pi\)
−0.478705 + 0.877976i \(0.658894\pi\)
\(278\) 14.8321 + 8.56334i 0.889573 + 0.513595i
\(279\) 7.03684i 0.421285i
\(280\) 11.7548 0.702481
\(281\) −13.6317 + 23.6108i −0.813201 + 1.40851i 0.0974119 + 0.995244i \(0.468944\pi\)
−0.910613 + 0.413261i \(0.864390\pi\)
\(282\) 16.9543 + 9.78855i 1.00961 + 0.582899i
\(283\) −10.1285 + 5.84768i −0.602076 + 0.347609i −0.769858 0.638216i \(-0.779673\pi\)
0.167782 + 0.985824i \(0.446340\pi\)
\(284\) 1.78135 1.02846i 0.105704 0.0610281i
\(285\) 13.9291 0.825090
\(286\) −0.611171 + 0.352860i −0.0361393 + 0.0208650i
\(287\) −5.04387 8.73623i −0.297730 0.515683i
\(288\) −1.21485 2.10418i −0.0715858 0.123990i
\(289\) 1.47625 16.9358i 0.0868384 0.996222i
\(290\) −13.3010 −0.781062
\(291\) −3.50613 + 6.07280i −0.205533 + 0.355994i
\(292\) 3.68930 2.13002i 0.215900 0.124650i
\(293\) 14.3523 0.838471 0.419236 0.907877i \(-0.362298\pi\)
0.419236 + 0.907877i \(0.362298\pi\)
\(294\) −13.9600 + 8.05978i −0.814161 + 0.470056i
\(295\) −9.67472 5.58570i −0.563284 0.325212i
\(296\) −26.0569 15.0440i −1.51453 0.874413i
\(297\) −0.634569 −0.0368214
\(298\) −11.3679 + 19.6898i −0.658526 + 1.14060i
\(299\) 10.0369i 0.580451i
\(300\) 2.71732i 0.156885i
\(301\) −5.00900 23.1635i −0.288714 1.33512i
\(302\) −2.00190 −0.115196
\(303\) 12.4797i 0.716941i
\(304\) 9.99355 17.3093i 0.573170 0.992759i
\(305\) −5.37732 −0.307904
\(306\) −6.41794 2.02244i −0.366889 0.115615i
\(307\) −2.09917 + 3.63587i −0.119806 + 0.207510i −0.919691 0.392644i \(-0.871561\pi\)
0.799885 + 0.600154i \(0.204894\pi\)
\(308\) −0.109847 0.190261i −0.00625914 0.0108411i
\(309\) 38.5773i 2.19459i
\(310\) −3.85290 6.67342i −0.218830 0.379025i
\(311\) −17.9145 10.3430i −1.01584 0.586495i −0.102943 0.994687i \(-0.532826\pi\)
−0.912896 + 0.408192i \(0.866159\pi\)
\(312\) 19.2617i 1.09048i
\(313\) −24.2468 13.9989i −1.37051 0.791263i −0.379516 0.925185i \(-0.623909\pi\)
−0.990992 + 0.133922i \(0.957243\pi\)
\(314\) 5.54636 + 9.60658i 0.312999 + 0.542131i
\(315\) 2.47061 + 4.27922i 0.139203 + 0.241107i
\(316\) −1.40379 + 0.810478i −0.0789693 + 0.0455929i
\(317\) 3.69149i 0.207335i −0.994612 0.103667i \(-0.966942\pi\)
0.994612 0.103667i \(-0.0330577\pi\)
\(318\) −13.0197 + 7.51694i −0.730110 + 0.421529i
\(319\) 0.849465 + 1.47132i 0.0475609 + 0.0823779i
\(320\) −8.27570 4.77798i −0.462625 0.267097i
\(321\) −13.9265 + 24.1215i −0.777303 + 1.34633i
\(322\) −15.1046 −0.841747
\(323\) 5.58340 + 25.1661i 0.310669 + 1.40028i
\(324\) −1.91906 + 3.32391i −0.106614 + 0.184661i
\(325\) 5.93101 10.2728i 0.328993 0.569833i
\(326\) 8.74334 5.04797i 0.484249 0.279581i
\(327\) −11.2158 19.4264i −0.620237 1.07428i
\(328\) 8.41828i 0.464822i
\(329\) 23.0401 13.3022i 1.27024 0.733375i
\(330\) 0.440443 0.254290i 0.0242456 0.0139982i
\(331\) 5.55108 + 9.61475i 0.305115 + 0.528474i 0.977287 0.211921i \(-0.0679718\pi\)
−0.672172 + 0.740395i \(0.734639\pi\)
\(332\) 1.80659 3.12911i 0.0991498 0.171732i
\(333\) 12.6477i 0.693092i
\(334\) −22.2589 12.8512i −1.21796 0.703187i
\(335\) −12.0598 + 6.96271i −0.658896 + 0.380414i
\(336\) 23.8681 1.30211
\(337\) 19.5264 11.2735i 1.06367 0.614109i 0.137224 0.990540i \(-0.456182\pi\)
0.926445 + 0.376431i \(0.122849\pi\)
\(338\) −2.21582 + 3.83791i −0.120525 + 0.208755i
\(339\) −1.75790 + 3.04477i −0.0954761 + 0.165369i
\(340\) 1.48813 0.330159i 0.0807050 0.0179054i
\(341\) −0.492129 + 0.852392i −0.0266503 + 0.0461596i
\(342\) 10.2037 0.551750
\(343\) 3.39248i 0.183177i
\(344\) −6.04501 + 18.8304i −0.325925 + 1.01526i
\(345\) 7.23316i 0.389420i
\(346\) 29.6970i 1.59652i
\(347\) 8.66893 + 5.00501i 0.465372 + 0.268683i 0.714301 0.699839i \(-0.246745\pi\)
−0.248928 + 0.968522i \(0.580078\pi\)
\(348\) 6.78507 0.363718
\(349\) 8.64409 14.9720i 0.462707 0.801433i −0.536387 0.843972i \(-0.680211\pi\)
0.999095 + 0.0425392i \(0.0135447\pi\)
\(350\) −15.4596 8.92559i −0.826349 0.477093i
\(351\) 9.58090 5.53154i 0.511391 0.295252i
\(352\) 0.339847i 0.0181139i
\(353\) 6.02356 + 10.4331i 0.320602 + 0.555298i 0.980612 0.195958i \(-0.0627816\pi\)
−0.660011 + 0.751256i \(0.729448\pi\)
\(354\) −23.8577 13.7742i −1.26802 0.732093i
\(355\) 6.47088 0.343439
\(356\) 2.15780 3.73742i 0.114363 0.198083i
\(357\) −22.6927 + 20.8007i −1.20103 + 1.10089i
\(358\) −10.3205 17.8756i −0.545454 0.944754i
\(359\) 7.77667 + 13.4696i 0.410437 + 0.710897i 0.994937 0.100496i \(-0.0320429\pi\)
−0.584501 + 0.811393i \(0.698710\pi\)
\(360\) 4.12348i 0.217326i
\(361\) −10.0444 17.3974i −0.528651 0.915651i
\(362\) −7.17264 + 4.14112i −0.376986 + 0.217653i
\(363\) 19.6237 + 11.3298i 1.02998 + 0.594658i
\(364\) 3.31702 + 1.91508i 0.173859 + 0.100378i
\(365\) 13.4017 0.701474
\(366\) −13.2604 −0.693130
\(367\) 26.9045 + 15.5333i 1.40440 + 0.810833i 0.994841 0.101449i \(-0.0323478\pi\)
0.409563 + 0.912282i \(0.365681\pi\)
\(368\) 8.98845 + 5.18948i 0.468555 + 0.270520i
\(369\) −3.06460 + 1.76935i −0.159537 + 0.0921087i
\(370\) −6.92505 11.9945i −0.360016 0.623566i
\(371\) 20.4304i 1.06069i
\(372\) 1.96543 + 3.40422i 0.101903 + 0.176501i
\(373\) −1.85279 3.20912i −0.0959337 0.166162i 0.814064 0.580775i \(-0.197250\pi\)
−0.909998 + 0.414613i \(0.863917\pi\)
\(374\) 0.635981 + 0.693829i 0.0328858 + 0.0358771i
\(375\) −9.84399 + 17.0503i −0.508341 + 0.880473i
\(376\) −22.2016 −1.14496
\(377\) −25.6509 14.8096i −1.32109 0.762732i
\(378\) −8.32442 14.4183i −0.428162 0.741598i
\(379\) 13.4112i 0.688888i −0.938807 0.344444i \(-0.888067\pi\)
0.938807 0.344444i \(-0.111933\pi\)
\(380\) −2.00173 + 1.15570i −0.102687 + 0.0592862i
\(381\) −16.0915 9.29042i −0.824391 0.475963i
\(382\) 2.01048 3.48226i 0.102865 0.178168i
\(383\) −29.0493 −1.48435 −0.742174 0.670207i \(-0.766205\pi\)
−0.742174 + 0.670207i \(0.766205\pi\)
\(384\) −13.5501 7.82318i −0.691478 0.399225i
\(385\) 0.691138i 0.0352237i
\(386\) 28.9744i 1.47476i
\(387\) −8.12557 + 1.75712i −0.413046 + 0.0893195i
\(388\) 1.16362i 0.0590737i
\(389\) −29.9970 −1.52091 −0.760454 0.649392i \(-0.775023\pi\)
−0.760454 + 0.649392i \(0.775023\pi\)
\(390\) −4.43329 + 7.67868i −0.224488 + 0.388825i
\(391\) −13.0683 + 2.89937i −0.660895 + 0.146627i
\(392\) 9.14028 15.8314i 0.461654 0.799608i
\(393\) 3.95507 6.85038i 0.199507 0.345556i
\(394\) −0.995035 + 0.574484i −0.0501292 + 0.0289421i
\(395\) −5.09936 −0.256577
\(396\) −0.0667422 + 0.0385337i −0.00335392 + 0.00193639i
\(397\) −4.93945 2.85179i −0.247904 0.143127i 0.370900 0.928673i \(-0.379049\pi\)
−0.618804 + 0.785545i \(0.712383\pi\)
\(398\) 21.7964i 1.09256i
\(399\) 23.3394 40.4251i 1.16843 2.02378i
\(400\) 6.13312 + 10.6229i 0.306656 + 0.531144i
\(401\) −20.6280 + 11.9096i −1.03011 + 0.594737i −0.917017 0.398847i \(-0.869410\pi\)
−0.113097 + 0.993584i \(0.536077\pi\)
\(402\) −29.7392 + 17.1699i −1.48326 + 0.856358i
\(403\) 17.1595i 0.854778i
\(404\) 1.03544 + 1.79344i 0.0515152 + 0.0892270i
\(405\) −10.4567 + 6.03716i −0.519596 + 0.299989i
\(406\) −22.2870 + 38.6021i −1.10608 + 1.91579i
\(407\) −0.884532 + 1.53206i −0.0438446 + 0.0759412i
\(408\) 25.0793 5.56413i 1.24161 0.275465i
\(409\) −10.7198 −0.530060 −0.265030 0.964240i \(-0.585382\pi\)
−0.265030 + 0.964240i \(0.585382\pi\)
\(410\) −1.93755 + 3.35594i −0.0956889 + 0.165738i
\(411\) 19.6062 + 11.3197i 0.967104 + 0.558358i
\(412\) −3.20076 5.54388i −0.157690 0.273127i
\(413\) −32.4216 + 18.7186i −1.59536 + 0.921083i
\(414\) 5.29858i 0.260411i
\(415\) 9.84388 5.68337i 0.483217 0.278985i
\(416\) −2.96245 5.13111i −0.145246 0.251573i
\(417\) −13.7422 23.8023i −0.672961 1.16560i
\(418\) −1.23600 0.713603i −0.0604545 0.0349034i
\(419\) 24.6126i 1.20241i −0.799096 0.601203i \(-0.794688\pi\)
0.799096 0.601203i \(-0.205312\pi\)
\(420\) −2.39042 1.38011i −0.116641 0.0673425i
\(421\) −4.87472 8.44327i −0.237579 0.411500i 0.722440 0.691434i \(-0.243021\pi\)
−0.960019 + 0.279934i \(0.909687\pi\)
\(422\) 7.80575i 0.379978i
\(423\) −4.66632 8.08230i −0.226884 0.392975i
\(424\) 8.52466 14.7651i 0.413994 0.717059i
\(425\) −15.0887 4.75482i −0.731912 0.230643i
\(426\) 15.9571 0.773123
\(427\) −9.01014 + 15.6060i −0.436031 + 0.755228i
\(428\) 4.62194i 0.223410i
\(429\) 1.13252 0.0546787
\(430\) −6.74384 + 6.11539i −0.325217 + 0.294910i
\(431\) 5.03671i 0.242610i −0.992615 0.121305i \(-0.961292\pi\)
0.992615 0.121305i \(-0.0387078\pi\)
\(432\) 11.4401i 0.550410i
\(433\) 7.62040 13.1989i 0.366213 0.634300i −0.622757 0.782415i \(-0.713987\pi\)
0.988970 + 0.148116i \(0.0473208\pi\)
\(434\) −25.8234 −1.23956
\(435\) 18.4854 + 10.6726i 0.886309 + 0.511711i
\(436\) 3.22362 + 1.86116i 0.154383 + 0.0891333i
\(437\) 17.5787 10.1491i 0.840903 0.485495i
\(438\) 33.0482 1.57911
\(439\) −27.7183 + 16.0032i −1.32292 + 0.763789i −0.984194 0.177096i \(-0.943330\pi\)
−0.338727 + 0.940885i \(0.609996\pi\)
\(440\) −0.288380 + 0.499488i −0.0137480 + 0.0238122i
\(441\) 7.68440 0.365924
\(442\) −15.6503 4.93179i −0.744410 0.234581i
\(443\) 11.4737 + 19.8729i 0.545130 + 0.944192i 0.998599 + 0.0529202i \(0.0168529\pi\)
−0.453469 + 0.891272i \(0.649814\pi\)
\(444\) 3.53259 + 6.11862i 0.167649 + 0.290377i
\(445\) 11.7575 6.78821i 0.557360 0.321792i
\(446\) 33.5556 1.58890
\(447\) 31.5978 18.2430i 1.49452 0.862863i
\(448\) −27.7332 + 16.0118i −1.31027 + 0.756486i
\(449\) 5.74998 + 3.31975i 0.271358 + 0.156669i 0.629505 0.776997i \(-0.283258\pi\)
−0.358146 + 0.933665i \(0.616591\pi\)
\(450\) −3.13103 + 5.42310i −0.147598 + 0.255647i
\(451\) 0.494965 0.0233070
\(452\) 0.583413i 0.0274414i
\(453\) 2.78220 + 1.60630i 0.130719 + 0.0754706i
\(454\) −24.0561 13.8888i −1.12901 0.651833i
\(455\) 6.02465 + 10.4350i 0.282440 + 0.489200i
\(456\) −33.7350 + 19.4769i −1.57979 + 0.912090i
\(457\) −19.6258 −0.918055 −0.459027 0.888422i \(-0.651802\pi\)
−0.459027 + 0.888422i \(0.651802\pi\)
\(458\) −17.2704 29.9133i −0.806995 1.39776i
\(459\) −9.96983 10.8767i −0.465352 0.507680i
\(460\) −0.600136 1.03947i −0.0279815 0.0484653i
\(461\) 8.46295 14.6583i 0.394159 0.682703i −0.598835 0.800873i \(-0.704369\pi\)
0.992993 + 0.118169i \(0.0377026\pi\)
\(462\) 1.70433i 0.0792928i
\(463\) −19.7322 + 34.1772i −0.917033 + 1.58835i −0.113136 + 0.993580i \(0.536090\pi\)
−0.803897 + 0.594768i \(0.797244\pi\)
\(464\) 26.5250 15.3142i 1.23139 0.710945i
\(465\) 12.3661i 0.573464i
\(466\) −5.09711 + 2.94282i −0.236119 + 0.136323i
\(467\) 4.70008 8.14079i 0.217494 0.376711i −0.736547 0.676386i \(-0.763545\pi\)
0.954041 + 0.299676i \(0.0968784\pi\)
\(468\) 0.671796 1.16358i 0.0310538 0.0537867i
\(469\) 46.6664i 2.15486i
\(470\) −8.85065 5.10992i −0.408250 0.235703i
\(471\) 17.8013i 0.820243i
\(472\) 31.2416 1.43801
\(473\) 1.10716 + 0.355425i 0.0509072 + 0.0163425i
\(474\) −12.5749 −0.577586
\(475\) 23.9891 1.10069
\(476\) 1.53530 4.87205i 0.0703702 0.223310i
\(477\) 7.16684 0.328147
\(478\) 2.82447 4.89213i 0.129188 0.223761i
\(479\) −12.1107 6.99214i −0.553354 0.319479i 0.197120 0.980379i \(-0.436841\pi\)
−0.750474 + 0.660900i \(0.770175\pi\)
\(480\) 2.13490 + 3.69775i 0.0974444 + 0.168779i
\(481\) 30.8419i 1.40627i
\(482\) 7.44590 4.29889i 0.339151 0.195809i
\(483\) 20.9920 + 12.1198i 0.955171 + 0.551468i
\(484\) −3.76012 −0.170915
\(485\) 1.83031 3.17019i 0.0831101 0.143951i
\(486\) −13.8174 + 7.97748i −0.626770 + 0.361866i
\(487\) 17.6080 10.1660i 0.797896 0.460665i −0.0448390 0.998994i \(-0.514277\pi\)
0.842735 + 0.538329i \(0.180944\pi\)
\(488\) 13.0233 7.51902i 0.589539 0.340370i
\(489\) −16.2017 −0.732668
\(490\) 7.28753 4.20746i 0.329217 0.190074i
\(491\) −6.39319 11.0733i −0.288521 0.499732i 0.684936 0.728603i \(-0.259830\pi\)
−0.973457 + 0.228871i \(0.926497\pi\)
\(492\) 0.988379 1.71192i 0.0445596 0.0771794i
\(493\) −11.8727 + 37.6762i −0.534718 + 1.69685i
\(494\) 24.8819 1.11949
\(495\) −0.242446 −0.0108971
\(496\) 15.3670 + 8.87214i 0.689998 + 0.398371i
\(497\) 10.8425 18.7798i 0.486353 0.842388i
\(498\) 24.2748 14.0151i 1.08778 0.628031i
\(499\) 29.4962 17.0296i 1.32043 0.762351i 0.336634 0.941636i \(-0.390711\pi\)
0.983797 + 0.179284i \(0.0573781\pi\)
\(500\) 3.26703i 0.146106i
\(501\) 20.6233 + 35.7206i 0.921382 + 1.59588i
\(502\) 12.4505 + 21.5649i 0.555692 + 0.962487i
\(503\) 8.79449 5.07750i 0.392127 0.226395i −0.290954 0.956737i \(-0.593973\pi\)
0.683081 + 0.730342i \(0.260639\pi\)
\(504\) −11.9671 6.90924i −0.533059 0.307762i
\(505\) 6.51480i 0.289905i
\(506\) 0.370562 0.641832i 0.0164735 0.0285329i
\(507\) 6.15899 3.55590i 0.273530 0.157923i
\(508\) 3.08331 0.136800
\(509\) 3.22587 + 5.58737i 0.142984 + 0.247656i 0.928619 0.371035i \(-0.120997\pi\)
−0.785635 + 0.618690i \(0.787664\pi\)
\(510\) 11.2785 + 3.55411i 0.499419 + 0.157379i
\(511\) 22.4556 38.8942i 0.993377 1.72058i
\(512\) 25.4099 1.12297
\(513\) 19.3759 + 11.1867i 0.855465 + 0.493903i
\(514\) 22.0388 0.972090
\(515\) 20.1385i 0.887410i
\(516\) 3.44015 3.11956i 0.151444 0.137331i
\(517\) 1.30537i 0.0574103i
\(518\) −46.4140 −2.03931
\(519\) −23.8285 + 41.2723i −1.04596 + 1.81165i
\(520\) 10.0552i 0.440951i
\(521\) 6.83694 + 3.94731i 0.299532 + 0.172935i 0.642233 0.766510i \(-0.278008\pi\)
−0.342701 + 0.939445i \(0.611342\pi\)
\(522\) 13.5413 + 7.81809i 0.592688 + 0.342189i
\(523\) 3.34452 + 5.79288i 0.146246 + 0.253305i 0.929837 0.367972i \(-0.119948\pi\)
−0.783591 + 0.621277i \(0.786614\pi\)
\(524\) 1.31261i 0.0573416i
\(525\) 14.3236 + 24.8092i 0.625132 + 1.08276i
\(526\) −8.60393 + 14.9024i −0.375149 + 0.649778i
\(527\) −22.3421 + 4.95687i −0.973239 + 0.215925i
\(528\) −0.585557 + 1.01422i −0.0254831 + 0.0441380i
\(529\) −6.22977 10.7903i −0.270859 0.469142i
\(530\) 6.79670 3.92408i 0.295230 0.170451i
\(531\) 6.56635 + 11.3732i 0.284955 + 0.493557i
\(532\) 7.74589i 0.335827i
\(533\) −7.47313 + 4.31461i −0.323697 + 0.186887i
\(534\) 28.9939 16.7396i 1.25469 0.724394i
\(535\) 7.27008 12.5921i 0.314313 0.544406i
\(536\) 19.4717 33.7260i 0.841051 1.45674i
\(537\) 33.1241i 1.42941i
\(538\) 8.07406i 0.348097i
\(539\) −0.930832 0.537416i −0.0400938 0.0231481i
\(540\) 0.661491 1.14574i 0.0284660 0.0493046i
\(541\) −24.1942 + 13.9685i −1.04019 + 0.600554i −0.919887 0.392184i \(-0.871720\pi\)
−0.120302 + 0.992737i \(0.538386\pi\)
\(542\) −16.6112 28.7715i −0.713512 1.23584i
\(543\) 13.2912 0.570378
\(544\) −5.82507 + 5.33940i −0.249748 + 0.228925i
\(545\) 5.85501 + 10.1412i 0.250801 + 0.434400i
\(546\) 14.8567 + 25.7325i 0.635807 + 1.10125i
\(547\) 17.9746 + 10.3777i 0.768540 + 0.443717i 0.832354 0.554245i \(-0.186993\pi\)
−0.0638136 + 0.997962i \(0.520326\pi\)
\(548\) −3.75677 −0.160481
\(549\) 5.47447 + 3.16069i 0.233645 + 0.134895i
\(550\) 0.758540 0.437943i 0.0323443 0.0186740i
\(551\) 59.9000i 2.55183i
\(552\) −10.1140 17.5180i −0.430482 0.745616i
\(553\) −8.54441 + 14.7994i −0.363345 + 0.629332i
\(554\) −0.906127 0.523153i −0.0384977 0.0222266i
\(555\) 22.2263i 0.943455i
\(556\) 3.94975 + 2.28039i 0.167507 + 0.0967101i
\(557\) −12.8405 −0.544071 −0.272036 0.962287i \(-0.587697\pi\)
−0.272036 + 0.962287i \(0.587697\pi\)
\(558\) 9.05866i 0.383484i
\(559\) −19.8144 + 4.28479i −0.838061 + 0.181227i
\(560\) −12.4599 −0.526527
\(561\) −0.327151 1.47457i −0.0138123 0.0622565i
\(562\) 17.5484 30.3947i 0.740234 1.28212i
\(563\) 10.6454 0.448648 0.224324 0.974515i \(-0.427983\pi\)
0.224324 + 0.974515i \(0.427983\pi\)
\(564\) 4.51487 + 2.60666i 0.190110 + 0.109760i
\(565\) 0.917679 1.58947i 0.0386070 0.0668694i
\(566\) 13.0386 7.52783i 0.548053 0.316418i
\(567\) 40.4631i 1.69929i
\(568\) −15.6718 + 9.04814i −0.657576 + 0.379652i
\(569\) 20.0755 34.7717i 0.841607 1.45771i −0.0469285 0.998898i \(-0.514943\pi\)
0.888536 0.458808i \(-0.151723\pi\)
\(570\) −17.9312 −0.751057
\(571\) −4.52246 2.61105i −0.189259 0.109269i 0.402377 0.915474i \(-0.368184\pi\)
−0.591636 + 0.806205i \(0.701518\pi\)
\(572\) −0.162753 + 0.0939654i −0.00680504 + 0.00392889i
\(573\) −5.58825 + 3.22638i −0.233452 + 0.134784i
\(574\) 6.49307 + 11.2463i 0.271015 + 0.469412i
\(575\) 12.4571i 0.519497i
\(576\) 5.61682 + 9.72861i 0.234034 + 0.405359i
\(577\) 2.58907 + 4.48441i 0.107785 + 0.186688i 0.914872 0.403743i \(-0.132291\pi\)
−0.807088 + 0.590431i \(0.798958\pi\)
\(578\) −1.90041 + 21.8018i −0.0790466 + 0.906834i
\(579\) 23.2487 40.2680i 0.966185 1.67348i
\(580\) −3.54202 −0.147074
\(581\) 38.0918i 1.58031i
\(582\) 4.51351 7.81763i 0.187091 0.324051i
\(583\) −0.868138 0.501220i −0.0359546 0.0207584i
\(584\) −32.4575 + 18.7393i −1.34310 + 0.775439i
\(585\) 3.66052 2.11340i 0.151344 0.0873784i
\(586\) −18.4760 −0.763237
\(587\) 23.5407 + 40.7737i 0.971628 + 1.68291i 0.690641 + 0.723197i \(0.257328\pi\)
0.280987 + 0.959712i \(0.409338\pi\)
\(588\) −3.71749 + 2.14630i −0.153307 + 0.0885117i
\(589\) 30.0532 17.3512i 1.23832 0.714945i
\(590\) 12.4544 + 7.19058i 0.512742 + 0.296031i
\(591\) 1.84384 0.0758453
\(592\) 27.6200 + 15.9464i 1.13518 + 0.655394i
\(593\) 10.4485 + 18.0973i 0.429067 + 0.743166i 0.996791 0.0800530i \(-0.0255090\pi\)
−0.567723 + 0.823219i \(0.692176\pi\)
\(594\) 0.816892 0.0335175
\(595\) 11.8463 10.8586i 0.485651 0.445159i
\(596\) −3.02724 + 5.24334i −0.124001 + 0.214775i
\(597\) −17.4892 + 30.2922i −0.715785 + 1.23978i
\(598\) 12.9207i 0.528369i
\(599\) 14.1716 24.5460i 0.579037 1.00292i −0.416553 0.909112i \(-0.636762\pi\)
0.995590 0.0938104i \(-0.0299048\pi\)
\(600\) 23.9063i 0.975969i
\(601\) 37.9169i 1.54666i 0.634002 + 0.773332i \(0.281411\pi\)
−0.634002 + 0.773332i \(0.718589\pi\)
\(602\) 6.44819 + 29.8188i 0.262808 + 1.21532i
\(603\) 16.3702 0.666648
\(604\) −0.533100 −0.0216915
\(605\) −10.2442 5.91448i −0.416485 0.240458i
\(606\) 16.0654i 0.652612i
\(607\) −1.73804 1.00346i −0.0705449 0.0407291i 0.464313 0.885671i \(-0.346301\pi\)
−0.534858 + 0.844942i \(0.679635\pi\)
\(608\) 5.99108 10.3769i 0.242970 0.420837i
\(609\) 61.9478 35.7656i 2.51025 1.44929i
\(610\) 6.92232 0.280277
\(611\) −11.3790 19.7089i −0.460343 0.797338i
\(612\) −1.70908 0.538571i −0.0690853 0.0217704i
\(613\) −29.0994 −1.17532 −0.587658 0.809110i \(-0.699950\pi\)
−0.587658 + 0.809110i \(0.699950\pi\)
\(614\) 2.70230 4.68053i 0.109056 0.188891i
\(615\) 5.38554 3.10934i 0.217166 0.125381i
\(616\) 0.966409 + 1.67387i 0.0389377 + 0.0674421i
\(617\) 10.1037 5.83339i 0.406761 0.234843i −0.282636 0.959227i \(-0.591209\pi\)
0.689397 + 0.724384i \(0.257876\pi\)
\(618\) 49.6613i 1.99767i
\(619\) −7.02992 + 4.05872i −0.282556 + 0.163134i −0.634580 0.772857i \(-0.718827\pi\)
0.352024 + 0.935991i \(0.385494\pi\)
\(620\) −1.02602 1.77711i −0.0412058 0.0713705i
\(621\) −5.80904 + 10.0615i −0.233109 + 0.403756i
\(622\) 23.0617 + 13.3147i 0.924691 + 0.533870i
\(623\) 45.4969i 1.82279i
\(624\) 20.4172i 0.817343i
\(625\) −4.45354 + 7.71375i −0.178141 + 0.308550i
\(626\) 31.2133 + 18.0210i 1.24753 + 0.720265i
\(627\) 1.14517 + 1.98350i 0.0457338 + 0.0792133i
\(628\) 1.47698 + 2.55820i 0.0589379 + 0.102083i
\(629\) −40.1569 + 8.90928i −1.60116 + 0.355236i
\(630\) −3.18046 5.50872i −0.126713 0.219473i
\(631\) −2.29373 3.97286i −0.0913120 0.158157i 0.816751 0.576990i \(-0.195773\pi\)
−0.908063 + 0.418833i \(0.862439\pi\)
\(632\) 12.3502 7.13037i 0.491263 0.283631i
\(633\) 6.26324 10.8483i 0.248942 0.431179i
\(634\) 4.75212i 0.188731i
\(635\) 8.40025 + 4.84989i 0.333354 + 0.192462i
\(636\) −3.46711 + 2.00174i −0.137480 + 0.0793741i
\(637\) 18.7386 0.742451
\(638\) −1.09353 1.89405i −0.0432934 0.0749863i
\(639\) −6.58780 3.80347i −0.260609 0.150463i
\(640\) 7.07359 + 4.08394i 0.279608 + 0.161432i
\(641\) 5.36225i 0.211796i 0.994377 + 0.105898i \(0.0337717\pi\)
−0.994377 + 0.105898i \(0.966228\pi\)
\(642\) 17.9279 31.0520i 0.707557 1.22553i
\(643\) 18.0418i 0.711499i −0.934581 0.355750i \(-0.884226\pi\)
0.934581 0.355750i \(-0.115774\pi\)
\(644\) −4.02231 −0.158501
\(645\) 14.2793 3.08785i 0.562249 0.121584i
\(646\) −7.18762 32.3968i −0.282793 1.27464i
\(647\) −14.8038 −0.581997 −0.290998 0.956724i \(-0.593987\pi\)
−0.290998 + 0.956724i \(0.593987\pi\)
\(648\) 16.8834 29.2428i 0.663241 1.14877i
\(649\) 1.83690i 0.0721045i
\(650\) −7.63511 + 13.2244i −0.299473 + 0.518703i
\(651\) 35.8888 + 20.7204i 1.40659 + 0.812097i
\(652\) 2.32832 1.34426i 0.0911842 0.0526452i
\(653\) 41.4657i 1.62268i 0.584577 + 0.811338i \(0.301261\pi\)
−0.584577 + 0.811338i \(0.698739\pi\)
\(654\) 14.4384 + 25.0080i 0.564585 + 0.977889i
\(655\) −2.06467 + 3.57611i −0.0806733 + 0.139730i
\(656\) 8.92328i 0.348395i
\(657\) −13.6438 7.87725i −0.532295 0.307321i
\(658\) −29.6600 + 17.1242i −1.15627 + 0.667571i
\(659\) −18.3615 31.8031i −0.715264 1.23887i −0.962858 0.270010i \(-0.912973\pi\)
0.247593 0.968864i \(-0.420360\pi\)
\(660\) 0.117289 0.0677166i 0.00456545 0.00263586i
\(661\) −37.0942 −1.44280 −0.721399 0.692519i \(-0.756501\pi\)
−0.721399 + 0.692519i \(0.756501\pi\)
\(662\) −7.14601 12.3772i −0.277737 0.481055i
\(663\) 17.7933 + 19.4117i 0.691033 + 0.753889i
\(664\) −15.8939 + 27.5291i −0.616804 + 1.06834i
\(665\) −12.1839 + 21.1031i −0.472471 + 0.818344i
\(666\) 16.2817i 0.630902i
\(667\) 31.1051 1.20439
\(668\) −5.92749 3.42224i −0.229341 0.132410i
\(669\) −46.6348 26.9246i −1.80301 1.04097i
\(670\) 15.5248 8.96324i 0.599775 0.346280i
\(671\) −0.442092 0.765726i −0.0170668 0.0295605i
\(672\) 14.3088 0.551974
\(673\) −15.4475 + 8.91859i −0.595456 + 0.343787i −0.767252 0.641346i \(-0.778376\pi\)
0.171796 + 0.985133i \(0.445043\pi\)
\(674\) −25.1367 + 14.5127i −0.968228 + 0.559006i
\(675\) −11.8911 + 6.86533i −0.457689 + 0.264247i
\(676\) −0.590066 + 1.02202i −0.0226948 + 0.0393086i
\(677\) 10.2405i 0.393573i −0.980446 0.196786i \(-0.936949\pi\)
0.980446 0.196786i \(-0.0630505\pi\)
\(678\) 2.26298 3.91960i 0.0869092 0.150531i
\(679\) −6.13368 10.6238i −0.235389 0.407705i
\(680\) −13.0922 + 2.90465i −0.502061 + 0.111388i
\(681\) 22.2884 + 38.6046i 0.854093 + 1.47933i
\(682\) 0.633527 1.09730i 0.0242590 0.0420178i
\(683\) −12.6424 7.29911i −0.483749 0.279293i 0.238228 0.971209i \(-0.423433\pi\)
−0.721978 + 0.691916i \(0.756767\pi\)
\(684\) 2.71720 0.103895
\(685\) −10.2351 5.90921i −0.391061 0.225779i
\(686\) 4.36721i 0.166741i
\(687\) 55.4304i 2.11480i
\(688\) 6.40763 19.9599i 0.244289 0.760966i
\(689\) 17.4765 0.665803
\(690\) 9.31139i 0.354478i
\(691\) 33.0352 + 19.0729i 1.25672 + 0.725566i 0.972435 0.233174i \(-0.0749113\pi\)
0.284283 + 0.958741i \(0.408245\pi\)
\(692\) 7.90822i 0.300626i
\(693\) −0.406239 + 0.703626i −0.0154317 + 0.0267285i
\(694\) −11.1597 6.44304i −0.423616 0.244575i
\(695\) 7.17388 + 12.4255i 0.272121 + 0.471327i
\(696\) −59.6933 −2.26267
\(697\) 7.77649 + 8.48383i 0.294555 + 0.321348i
\(698\) −11.1277 + 19.2737i −0.421190 + 0.729522i
\(699\) 9.44513 0.357248
\(700\) −4.11684 2.37686i −0.155602 0.0898367i
\(701\) 6.54669 + 11.3392i 0.247265 + 0.428275i 0.962766 0.270336i \(-0.0871349\pi\)
−0.715501 + 0.698612i \(0.753802\pi\)
\(702\) −12.3337 + 7.12085i −0.465505 + 0.268759i
\(703\) 54.0164 31.1864i 2.03727 1.17622i
\(704\) 1.57127i 0.0592195i
\(705\) 8.20029 + 14.2033i 0.308841 + 0.534928i
\(706\) −7.75424 13.4307i −0.291835 0.505473i
\(707\) 18.9072 + 10.9161i 0.711080 + 0.410542i
\(708\) −6.35323 3.66804i −0.238769 0.137853i
\(709\) 20.9313i 0.786092i −0.919519 0.393046i \(-0.871421\pi\)
0.919519 0.393046i \(-0.128579\pi\)
\(710\) −8.33009 −0.312623
\(711\) 5.19150 + 2.99731i 0.194696 + 0.112408i
\(712\) −18.9837 + 32.8808i −0.711445 + 1.23226i
\(713\) 9.01019 + 15.6061i 0.337434 + 0.584454i
\(714\) 29.2128 26.7771i 1.09326 1.00211i
\(715\) −0.591212 −0.0221101
\(716\) −2.74831 4.76021i −0.102709 0.177897i
\(717\) −7.85077 + 4.53265i −0.293192 + 0.169275i
\(718\) −10.0111 17.3397i −0.373609 0.647110i
\(719\) 28.6970 + 16.5682i 1.07022 + 0.617890i 0.928241 0.371981i \(-0.121321\pi\)
0.141976 + 0.989870i \(0.454655\pi\)
\(720\) 4.37084i 0.162892i
\(721\) −58.4460 33.7438i −2.17664 1.25669i
\(722\) 12.9303 + 22.3960i 0.481217 + 0.833491i
\(723\) −13.7975 −0.513135
\(724\) −1.91005 + 1.10277i −0.0709865 + 0.0409841i
\(725\) 31.8360 + 18.3805i 1.18236 + 0.682636i
\(726\) −25.2620 14.5850i −0.937560 0.541300i
\(727\) −12.0813 −0.448070 −0.224035 0.974581i \(-0.571923\pi\)
−0.224035 + 0.974581i \(0.571923\pi\)
\(728\) −29.1822 16.8484i −1.08157 0.624442i
\(729\) −7.98407 −0.295706
\(730\) −17.2522 −0.638533
\(731\) 11.3027 + 24.5611i 0.418045 + 0.908426i
\(732\) −3.53119 −0.130517
\(733\) −46.5739 −1.72025 −0.860124 0.510085i \(-0.829614\pi\)
−0.860124 + 0.510085i \(0.829614\pi\)
\(734\) −34.6347 19.9963i −1.27839 0.738079i
\(735\) −13.5041 −0.498105
\(736\) 5.38853 + 3.11107i 0.198624 + 0.114675i
\(737\) −1.98297 1.14487i −0.0730437 0.0421718i
\(738\) 3.94512 2.27772i 0.145222 0.0838440i
\(739\) −12.1173 −0.445742 −0.222871 0.974848i \(-0.571543\pi\)
−0.222871 + 0.974848i \(0.571543\pi\)
\(740\) −1.84412 3.19411i −0.0677912 0.117418i
\(741\) −34.5803 19.9650i −1.27034 0.733431i
\(742\) 26.3005i 0.965521i
\(743\) 8.69183 + 5.01823i 0.318872 + 0.184101i 0.650890 0.759172i \(-0.274396\pi\)
−0.332018 + 0.943273i \(0.607729\pi\)
\(744\) −17.2913 29.9495i −0.633931 1.09800i
\(745\) −16.4950 + 9.52340i −0.604331 + 0.348910i
\(746\) 2.38513 + 4.13117i 0.0873258 + 0.151253i
\(747\) −13.3623 −0.488902
\(748\) 0.169360 + 0.184765i 0.00619240 + 0.00675566i
\(749\) −24.3632 42.1984i −0.890214 1.54190i
\(750\) 12.6724 21.9492i 0.462729 0.801470i
\(751\) −4.42726 2.55608i −0.161553 0.0932728i 0.417044 0.908886i \(-0.363066\pi\)
−0.578597 + 0.815614i \(0.696400\pi\)
\(752\) 23.5334 0.858176
\(753\) 39.9605i 1.45624i
\(754\) 33.0209 + 19.0646i 1.20255 + 0.694294i
\(755\) −1.45239 0.838539i −0.0528580 0.0305176i
\(756\) −2.21677 3.83955i −0.0806230 0.139643i
\(757\) −13.3679 23.1538i −0.485863 0.841540i 0.514005 0.857787i \(-0.328161\pi\)
−0.999868 + 0.0162476i \(0.994828\pi\)
\(758\) 17.2645i 0.627075i
\(759\) −1.03000 + 0.594669i −0.0373865 + 0.0215851i
\(760\) 17.6107 10.1675i 0.638808 0.368816i
\(761\) 14.1890 + 24.5760i 0.514349 + 0.890879i 0.999861 + 0.0166489i \(0.00529976\pi\)
−0.485512 + 0.874230i \(0.661367\pi\)
\(762\) 20.7149 + 11.9597i