Properties

Label 403.2.l.c.25.8
Level 403
Weight 2
Character 403.25
Analytic conductor 3.218
Analytic rank 0
Dimension 68
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.l (of order \(6\) and degree \(2\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(68\)
Relative dimension: \(34\) over \(\Q(\zeta_{6})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 25.8
Character \(\chi\) = 403.25
Dual form 403.2.l.c.129.27

$q$-expansion

\(f(q)\) \(=\) \(q-1.94813i q^{2} +(1.62865 + 2.82091i) q^{3} -1.79519 q^{4} +(2.42854 + 1.40212i) q^{5} +(5.49549 - 3.17282i) q^{6} +(0.340725 - 0.196718i) q^{7} -0.398987i q^{8} +(-3.80502 + 6.59049i) q^{9} +O(q^{10})\) \(q-1.94813i q^{2} +(1.62865 + 2.82091i) q^{3} -1.79519 q^{4} +(2.42854 + 1.40212i) q^{5} +(5.49549 - 3.17282i) q^{6} +(0.340725 - 0.196718i) q^{7} -0.398987i q^{8} +(-3.80502 + 6.59049i) q^{9} +(2.73150 - 4.73109i) q^{10} +(-2.51340 - 1.45111i) q^{11} +(-2.92375 - 5.06408i) q^{12} +(2.70929 - 2.37902i) q^{13} +(-0.383230 - 0.663775i) q^{14} +9.13424i q^{15} -4.36767 q^{16} +(1.09124 + 1.89008i) q^{17} +(12.8391 + 7.41266i) q^{18} +(-2.20920 + 1.27548i) q^{19} +(-4.35969 - 2.51707i) q^{20} +(1.10984 + 0.640769i) q^{21} +(-2.82695 + 4.89642i) q^{22} -2.50341 q^{23} +(1.12551 - 0.649812i) q^{24} +(1.43186 + 2.48005i) q^{25} +(-4.63464 - 5.27803i) q^{26} -15.0163 q^{27} +(-0.611667 + 0.353146i) q^{28} +9.69534 q^{29} +17.7946 q^{30} +(3.52734 - 4.30789i) q^{31} +7.71079i q^{32} -9.45343i q^{33} +(3.68211 - 2.12587i) q^{34} +1.10328 q^{35} +(6.83075 - 11.8312i) q^{36} +(-4.17266 + 2.40908i) q^{37} +(2.48480 + 4.30380i) q^{38} +(11.1235 + 3.76805i) q^{39} +(0.559426 - 0.968955i) q^{40} +(-5.06674 - 2.92529i) q^{41} +(1.24830 - 2.16212i) q^{42} +(-1.56578 - 2.71200i) q^{43} +(4.51204 + 2.60503i) q^{44} +(-18.4813 + 10.6702i) q^{45} +4.87696i q^{46} -11.6699i q^{47} +(-7.11341 - 12.3208i) q^{48} +(-3.42260 + 5.92812i) q^{49} +(4.83145 - 2.78944i) q^{50} +(-3.55449 + 6.15656i) q^{51} +(-4.86370 + 4.27081i) q^{52} +(0.927144 - 1.60586i) q^{53} +29.2537i q^{54} +(-4.06925 - 7.04815i) q^{55} +(-0.0784878 - 0.135945i) q^{56} +(-7.19604 - 4.15464i) q^{57} -18.8878i q^{58} +(1.79523 - 1.03648i) q^{59} -16.3977i q^{60} +2.32768 q^{61} +(-8.39231 - 6.87169i) q^{62} +2.99406i q^{63} +6.28625 q^{64} +(9.91527 - 1.97881i) q^{65} -18.4165 q^{66} +(-1.36143 - 0.786020i) q^{67} +(-1.95898 - 3.39305i) q^{68} +(-4.07719 - 7.06189i) q^{69} -2.14933i q^{70} +(4.18951 + 2.41881i) q^{71} +(2.62952 + 1.51816i) q^{72} +(-11.5768 - 6.68385i) q^{73} +(4.69320 + 8.12886i) q^{74} +(-4.66400 + 8.07828i) q^{75} +(3.96594 - 2.28974i) q^{76} -1.14184 q^{77} +(7.34064 - 21.6700i) q^{78} +(-6.66312 - 11.5409i) q^{79} +(-10.6070 - 6.12397i) q^{80} +(-13.0413 - 22.5882i) q^{81} +(-5.69882 + 9.87065i) q^{82} +(4.78636 + 2.76341i) q^{83} +(-1.99239 - 1.15031i) q^{84} +6.12016i q^{85} +(-5.28332 + 3.05033i) q^{86} +(15.7904 + 27.3497i) q^{87} +(-0.578975 + 1.00281i) q^{88} +14.3078i q^{89} +(20.7868 + 36.0038i) q^{90} +(0.455126 - 1.34356i) q^{91} +4.49411 q^{92} +(17.8970 + 2.93424i) q^{93} -22.7344 q^{94} -7.15350 q^{95} +(-21.7514 + 12.5582i) q^{96} +0.850308i q^{97} +(11.5487 + 6.66766i) q^{98} +(19.1271 - 11.0430i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 68q - 6q^{3} - 76q^{4} - 40q^{9} + O(q^{10}) \) \( 68q - 6q^{3} - 76q^{4} - 40q^{9} + 8q^{10} - 10q^{12} - 3q^{13} + 10q^{14} + 84q^{16} + 6q^{17} + 4q^{22} - 44q^{23} + 30q^{25} - 3q^{26} - 12q^{27} + 48q^{29} - 4q^{30} - 48q^{35} + 40q^{36} + 60q^{38} - 14q^{39} + 20q^{40} - 10q^{42} - 12q^{43} + 32q^{48} + 58q^{49} + 20q^{51} - 27q^{52} + 8q^{53} - 36q^{55} - 50q^{56} - 12q^{61} - 74q^{62} - 15q^{65} + 164q^{66} + 4q^{68} - 34q^{69} - 4q^{74} + 20q^{75} - 200q^{77} - 58q^{78} - 80q^{79} - 82q^{81} - 66q^{82} + 52q^{87} + 16q^{88} - 14q^{90} - 70q^{91} + 108q^{92} - 4q^{94} + 76q^{95} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.94813i 1.37753i −0.724983 0.688766i \(-0.758153\pi\)
0.724983 0.688766i \(-0.241847\pi\)
\(3\) 1.62865 + 2.82091i 0.940303 + 1.62865i 0.764893 + 0.644158i \(0.222792\pi\)
0.175411 + 0.984495i \(0.443875\pi\)
\(4\) −1.79519 −0.897597
\(5\) 2.42854 + 1.40212i 1.08607 + 0.627045i 0.932528 0.361096i \(-0.117597\pi\)
0.153546 + 0.988142i \(0.450931\pi\)
\(6\) 5.49549 3.17282i 2.24352 1.29530i
\(7\) 0.340725 0.196718i 0.128782 0.0743522i −0.434225 0.900804i \(-0.642978\pi\)
0.563007 + 0.826452i \(0.309644\pi\)
\(8\) 0.398987i 0.141063i
\(9\) −3.80502 + 6.59049i −1.26834 + 2.19683i
\(10\) 2.73150 4.73109i 0.863775 1.49610i
\(11\) −2.51340 1.45111i −0.757818 0.437526i 0.0706938 0.997498i \(-0.477479\pi\)
−0.828512 + 0.559972i \(0.810812\pi\)
\(12\) −2.92375 5.06408i −0.844014 1.46187i
\(13\) 2.70929 2.37902i 0.751421 0.659823i
\(14\) −0.383230 0.663775i −0.102423 0.177401i
\(15\) 9.13424i 2.35845i
\(16\) −4.36767 −1.09192
\(17\) 1.09124 + 1.89008i 0.264664 + 0.458411i 0.967475 0.252965i \(-0.0814058\pi\)
−0.702812 + 0.711376i \(0.748072\pi\)
\(18\) 12.8391 + 7.41266i 3.02621 + 1.74718i
\(19\) −2.20920 + 1.27548i −0.506825 + 0.292616i −0.731528 0.681812i \(-0.761192\pi\)
0.224702 + 0.974427i \(0.427859\pi\)
\(20\) −4.35969 2.51707i −0.974857 0.562834i
\(21\) 1.10984 + 0.640769i 0.242188 + 0.139827i
\(22\) −2.82695 + 4.89642i −0.602707 + 1.04392i
\(23\) −2.50341 −0.521997 −0.260999 0.965339i \(-0.584052\pi\)
−0.260999 + 0.965339i \(0.584052\pi\)
\(24\) 1.12551 0.649812i 0.229743 0.132642i
\(25\) 1.43186 + 2.48005i 0.286371 + 0.496010i
\(26\) −4.63464 5.27803i −0.908928 1.03511i
\(27\) −15.0163 −2.88989
\(28\) −0.611667 + 0.353146i −0.115594 + 0.0667384i
\(29\) 9.69534 1.80038 0.900190 0.435497i \(-0.143427\pi\)
0.900190 + 0.435497i \(0.143427\pi\)
\(30\) 17.7946 3.24884
\(31\) 3.52734 4.30789i 0.633528 0.773720i
\(32\) 7.71079i 1.36309i
\(33\) 9.45343i 1.64563i
\(34\) 3.68211 2.12587i 0.631476 0.364583i
\(35\) 1.10328 0.186489
\(36\) 6.83075 11.8312i 1.13846 1.97187i
\(37\) −4.17266 + 2.40908i −0.685980 + 0.396051i −0.802104 0.597184i \(-0.796286\pi\)
0.116124 + 0.993235i \(0.462953\pi\)
\(38\) 2.48480 + 4.30380i 0.403088 + 0.698169i
\(39\) 11.1235 + 3.76805i 1.78119 + 0.603371i
\(40\) 0.559426 0.968955i 0.0884531 0.153205i
\(41\) −5.06674 2.92529i −0.791292 0.456853i 0.0491250 0.998793i \(-0.484357\pi\)
−0.840417 + 0.541940i \(0.817690\pi\)
\(42\) 1.24830 2.16212i 0.192617 0.333622i
\(43\) −1.56578 2.71200i −0.238779 0.413577i 0.721586 0.692325i \(-0.243414\pi\)
−0.960364 + 0.278749i \(0.910080\pi\)
\(44\) 4.51204 + 2.60503i 0.680215 + 0.392722i
\(45\) −18.4813 + 10.6702i −2.75502 + 1.59061i
\(46\) 4.87696i 0.719068i
\(47\) 11.6699i 1.70223i −0.524980 0.851114i \(-0.675927\pi\)
0.524980 0.851114i \(-0.324073\pi\)
\(48\) −7.11341 12.3208i −1.02673 1.77835i
\(49\) −3.42260 + 5.92812i −0.488943 + 0.846875i
\(50\) 4.83145 2.78944i 0.683270 0.394486i
\(51\) −3.55449 + 6.15656i −0.497728 + 0.862090i
\(52\) −4.86370 + 4.27081i −0.674474 + 0.592255i
\(53\) 0.927144 1.60586i 0.127353 0.220582i −0.795297 0.606220i \(-0.792685\pi\)
0.922650 + 0.385638i \(0.126019\pi\)
\(54\) 29.2537i 3.98092i
\(55\) −4.06925 7.04815i −0.548698 0.950372i
\(56\) −0.0784878 0.135945i −0.0104884 0.0181664i
\(57\) −7.19604 4.15464i −0.953139 0.550295i
\(58\) 18.8878i 2.48008i
\(59\) 1.79523 1.03648i 0.233719 0.134938i −0.378568 0.925574i \(-0.623583\pi\)
0.612287 + 0.790636i \(0.290250\pi\)
\(60\) 16.3977i 2.11694i
\(61\) 2.32768 0.298029 0.149014 0.988835i \(-0.452390\pi\)
0.149014 + 0.988835i \(0.452390\pi\)
\(62\) −8.39231 6.87169i −1.06582 0.872706i
\(63\) 2.99406i 0.377216i
\(64\) 6.28625 0.785782
\(65\) 9.91527 1.97881i 1.22984 0.245441i
\(66\) −18.4165 −2.26691
\(67\) −1.36143 0.786020i −0.166325 0.0960276i 0.414527 0.910037i \(-0.363947\pi\)
−0.580852 + 0.814009i \(0.697280\pi\)
\(68\) −1.95898 3.39305i −0.237561 0.411468i
\(69\) −4.07719 7.06189i −0.490836 0.850152i
\(70\) 2.14933i 0.256895i
\(71\) 4.18951 + 2.41881i 0.497203 + 0.287060i 0.727558 0.686046i \(-0.240655\pi\)
−0.230355 + 0.973107i \(0.573989\pi\)
\(72\) 2.62952 + 1.51816i 0.309892 + 0.178916i
\(73\) −11.5768 6.68385i −1.35496 0.782286i −0.366019 0.930607i \(-0.619280\pi\)
−0.988939 + 0.148322i \(0.952613\pi\)
\(74\) 4.69320 + 8.12886i 0.545573 + 0.944961i
\(75\) −4.66400 + 8.07828i −0.538552 + 0.932799i
\(76\) 3.96594 2.28974i 0.454925 0.262651i
\(77\) −1.14184 −0.130124
\(78\) 7.34064 21.6700i 0.831164 2.45364i
\(79\) −6.66312 11.5409i −0.749660 1.29845i −0.947986 0.318313i \(-0.896884\pi\)
0.198326 0.980136i \(-0.436450\pi\)
\(80\) −10.6070 6.12397i −1.18590 0.684681i
\(81\) −13.0413 22.5882i −1.44904 2.50980i
\(82\) −5.69882 + 9.87065i −0.629330 + 1.09003i
\(83\) 4.78636 + 2.76341i 0.525372 + 0.303323i 0.739130 0.673563i \(-0.235237\pi\)
−0.213758 + 0.976887i \(0.568570\pi\)
\(84\) −1.99239 1.15031i −0.217387 0.125509i
\(85\) 6.12016i 0.663824i
\(86\) −5.28332 + 3.05033i −0.569715 + 0.328925i
\(87\) 15.7904 + 27.3497i 1.69290 + 2.93219i
\(88\) −0.578975 + 1.00281i −0.0617189 + 0.106900i
\(89\) 14.3078i 1.51662i 0.651895 + 0.758309i \(0.273974\pi\)
−0.651895 + 0.758309i \(0.726026\pi\)
\(90\) 20.7868 + 36.0038i 2.19112 + 3.79514i
\(91\) 0.455126 1.34356i 0.0477101 0.140843i
\(92\) 4.49411 0.468543
\(93\) 17.8970 + 2.93424i 1.85583 + 0.304267i
\(94\) −22.7344 −2.34488
\(95\) −7.15350 −0.733933
\(96\) −21.7514 + 12.5582i −2.22000 + 1.28172i
\(97\) 0.850308i 0.0863357i 0.999068 + 0.0431679i \(0.0137450\pi\)
−0.999068 + 0.0431679i \(0.986255\pi\)
\(98\) 11.5487 + 6.66766i 1.16660 + 0.673536i
\(99\) 19.1271 11.0430i 1.92234 1.10987i
\(100\) −2.57046 4.45217i −0.257046 0.445217i
\(101\) 17.8181 1.77297 0.886485 0.462756i \(-0.153140\pi\)
0.886485 + 0.462756i \(0.153140\pi\)
\(102\) 11.9937 + 6.92459i 1.18756 + 0.685637i
\(103\) 3.89946 6.75407i 0.384225 0.665498i −0.607436 0.794369i \(-0.707802\pi\)
0.991661 + 0.128871i \(0.0411352\pi\)
\(104\) −0.949201 1.08097i −0.0930768 0.105998i
\(105\) 1.79687 + 3.11226i 0.175356 + 0.303726i
\(106\) −3.12842 1.80619i −0.303859 0.175433i
\(107\) 7.18086 + 12.4376i 0.694200 + 1.20239i 0.970450 + 0.241303i \(0.0775749\pi\)
−0.276250 + 0.961086i \(0.589092\pi\)
\(108\) 26.9572 2.59396
\(109\) 17.8815i 1.71274i 0.516365 + 0.856369i \(0.327285\pi\)
−0.516365 + 0.856369i \(0.672715\pi\)
\(110\) −13.7307 + 7.92741i −1.30917 + 0.755849i
\(111\) −13.5916 7.84713i −1.29006 0.744816i
\(112\) −1.48817 + 0.859196i −0.140619 + 0.0811864i
\(113\) −2.42637 + 4.20260i −0.228254 + 0.395348i −0.957291 0.289127i \(-0.906635\pi\)
0.729037 + 0.684475i \(0.239968\pi\)
\(114\) −8.09376 + 14.0188i −0.758050 + 1.31298i
\(115\) −6.07962 3.51007i −0.566927 0.327316i
\(116\) −17.4050 −1.61602
\(117\) 5.37004 + 26.9078i 0.496461 + 2.48763i
\(118\) −2.01919 3.49733i −0.185881 0.321956i
\(119\) 0.743622 + 0.429330i 0.0681677 + 0.0393567i
\(120\) 3.64445 0.332691
\(121\) −1.28855 2.23184i −0.117141 0.202895i
\(122\) 4.53461i 0.410544i
\(123\) 19.0571i 1.71832i
\(124\) −6.33225 + 7.73350i −0.568653 + 0.694488i
\(125\) 5.99064i 0.535819i
\(126\) 5.83280 0.519627
\(127\) −6.57342 11.3855i −0.583296 1.01030i −0.995085 0.0990198i \(-0.968429\pi\)
0.411789 0.911279i \(-0.364904\pi\)
\(128\) 3.17516i 0.280647i
\(129\) 5.10021 8.83382i 0.449049 0.777775i
\(130\) −3.85497 19.3162i −0.338104 1.69414i
\(131\) −0.169324 0.293278i −0.0147939 0.0256238i 0.858534 0.512757i \(-0.171376\pi\)
−0.873328 + 0.487133i \(0.838043\pi\)
\(132\) 16.9707i 1.47711i
\(133\) −0.501820 + 0.869177i −0.0435133 + 0.0753672i
\(134\) −1.53127 + 2.65223i −0.132281 + 0.229118i
\(135\) −36.4677 21.0546i −3.13864 1.81209i
\(136\) 0.754117 0.435389i 0.0646650 0.0373343i
\(137\) −6.77131 3.90942i −0.578512 0.334004i 0.182030 0.983293i \(-0.441733\pi\)
−0.760542 + 0.649289i \(0.775067\pi\)
\(138\) −13.7575 + 7.94287i −1.17111 + 0.676142i
\(139\) −9.90169 −0.839851 −0.419925 0.907559i \(-0.637944\pi\)
−0.419925 + 0.907559i \(0.637944\pi\)
\(140\) −1.98061 −0.167392
\(141\) 32.9197 19.0062i 2.77234 1.60061i
\(142\) 4.71215 8.16169i 0.395435 0.684914i
\(143\) −10.2617 + 2.04796i −0.858130 + 0.171259i
\(144\) 16.6191 28.7851i 1.38492 2.39876i
\(145\) 23.5455 + 13.5940i 1.95535 + 1.12892i
\(146\) −13.0210 + 22.5530i −1.07762 + 1.86650i
\(147\) −22.2969 −1.83902
\(148\) 7.49073 4.32477i 0.615734 0.355494i
\(149\) −17.6455 + 10.1876i −1.44558 + 0.834605i −0.998214 0.0597473i \(-0.980971\pi\)
−0.447364 + 0.894352i \(0.647637\pi\)
\(150\) 15.7375 + 9.08605i 1.28496 + 0.741873i
\(151\) 8.06419i 0.656254i −0.944634 0.328127i \(-0.893583\pi\)
0.944634 0.328127i \(-0.106417\pi\)
\(152\) 0.508901 + 0.881443i 0.0412774 + 0.0714945i
\(153\) −16.6087 −1.34273
\(154\) 2.22444i 0.179250i
\(155\) 14.6064 5.51613i 1.17322 0.443066i
\(156\) −19.9689 6.76438i −1.59879 0.541584i
\(157\) 15.4316 1.23157 0.615786 0.787913i \(-0.288839\pi\)
0.615786 + 0.787913i \(0.288839\pi\)
\(158\) −22.4831 + 12.9806i −1.78866 + 1.03268i
\(159\) 6.03999 0.479002
\(160\) −10.8114 + 18.7259i −0.854718 + 1.48041i
\(161\) −0.852974 + 0.492465i −0.0672237 + 0.0388116i
\(162\) −44.0047 + 25.4061i −3.45734 + 1.99609i
\(163\) 7.78982i 0.610146i 0.952329 + 0.305073i \(0.0986808\pi\)
−0.952329 + 0.305073i \(0.901319\pi\)
\(164\) 9.09579 + 5.25146i 0.710262 + 0.410070i
\(165\) 13.2548 22.9580i 1.03188 1.78728i
\(166\) 5.38347 9.32444i 0.417838 0.723717i
\(167\) −12.7372 + 7.35385i −0.985637 + 0.569058i −0.903967 0.427602i \(-0.859359\pi\)
−0.0816698 + 0.996659i \(0.526025\pi\)
\(168\) 0.255659 0.442814i 0.0197245 0.0341638i
\(169\) 1.68048 12.8909i 0.129268 0.991610i
\(170\) 11.9228 0.914440
\(171\) 19.4130i 1.48455i
\(172\) 2.81087 + 4.86857i 0.214327 + 0.371225i
\(173\) −10.6538 + 18.4529i −0.809995 + 1.40295i 0.102872 + 0.994695i \(0.467197\pi\)
−0.912867 + 0.408257i \(0.866137\pi\)
\(174\) 53.2806 30.7616i 4.03920 2.33203i
\(175\) 0.975738 + 0.563343i 0.0737589 + 0.0425847i
\(176\) 10.9777 + 6.33797i 0.827474 + 0.477742i
\(177\) 5.84761 + 3.37612i 0.439534 + 0.253765i
\(178\) 27.8733 2.08919
\(179\) −7.16060 12.4025i −0.535208 0.927008i −0.999153 0.0411437i \(-0.986900\pi\)
0.463945 0.885864i \(-0.346433\pi\)
\(180\) 33.1775 19.1550i 2.47290 1.42773i
\(181\) −2.97375 + 5.15069i −0.221037 + 0.382848i −0.955123 0.296209i \(-0.904278\pi\)
0.734086 + 0.679057i \(0.237611\pi\)
\(182\) −2.61742 0.886642i −0.194016 0.0657223i
\(183\) 3.79098 + 6.56617i 0.280237 + 0.485385i
\(184\) 0.998829i 0.0736346i
\(185\) −13.5113 −0.993368
\(186\) 5.71627 34.8656i 0.419137 2.55647i
\(187\) 6.33402i 0.463189i
\(188\) 20.9497i 1.52792i
\(189\) −5.11643 + 2.95397i −0.372166 + 0.214870i
\(190\) 13.9359i 1.01102i
\(191\) −5.05536 + 8.75614i −0.365793 + 0.633572i −0.988903 0.148562i \(-0.952535\pi\)
0.623110 + 0.782134i \(0.285869\pi\)
\(192\) 10.2381 + 17.7330i 0.738873 + 1.27977i
\(193\) 5.87357 3.39111i 0.422789 0.244097i −0.273481 0.961877i \(-0.588175\pi\)
0.696270 + 0.717780i \(0.254842\pi\)
\(194\) 1.65651 0.118930
\(195\) 21.7306 + 24.7473i 1.55616 + 1.77219i
\(196\) 6.14424 10.6421i 0.438874 0.760153i
\(197\) 4.26406 + 2.46186i 0.303802 + 0.175400i 0.644149 0.764900i \(-0.277211\pi\)
−0.340348 + 0.940300i \(0.610545\pi\)
\(198\) −21.5132 37.2619i −1.52888 2.64809i
\(199\) 0.635290 1.10035i 0.0450345 0.0780020i −0.842630 0.538494i \(-0.818994\pi\)
0.887664 + 0.460492i \(0.152327\pi\)
\(200\) 0.989508 0.571293i 0.0699688 0.0403965i
\(201\) 5.12062i 0.361180i
\(202\) 34.7120i 2.44233i
\(203\) 3.30344 1.90724i 0.231856 0.133862i
\(204\) 6.38100 11.0522i 0.446759 0.773810i
\(205\) −8.20318 14.2083i −0.572935 0.992352i
\(206\) −13.1578 7.59664i −0.916745 0.529283i
\(207\) 9.52553 16.4987i 0.662070 1.14674i
\(208\) −11.8333 + 10.3908i −0.820489 + 0.720471i
\(209\) 7.40347 0.512109
\(210\) 6.06308 3.50052i 0.418392 0.241559i
\(211\) −1.78190 3.08634i −0.122671 0.212472i 0.798149 0.602460i \(-0.205813\pi\)
−0.920820 + 0.389988i \(0.872479\pi\)
\(212\) −1.66440 + 2.88283i −0.114312 + 0.197994i
\(213\) 15.7576i 1.07970i
\(214\) 24.2300 13.9892i 1.65633 0.956283i
\(215\) 8.78159i 0.598900i
\(216\) 5.99132i 0.407658i
\(217\) 0.354413 2.16169i 0.0240592 0.146745i
\(218\) 34.8354 2.35935
\(219\) 43.5427i 2.94234i
\(220\) 7.30510 + 12.6528i 0.492509 + 0.853051i
\(221\) 7.45301 + 2.52468i 0.501344 + 0.169829i
\(222\) −15.2872 + 26.4782i −1.02601 + 1.77710i
\(223\) −13.9231 + 8.03851i −0.932360 + 0.538298i −0.887557 0.460697i \(-0.847599\pi\)
−0.0448029 + 0.998996i \(0.514266\pi\)
\(224\) 1.51685 + 2.62726i 0.101349 + 0.175541i
\(225\) −21.7930 −1.45287
\(226\) 8.18720 + 4.72688i 0.544604 + 0.314427i
\(227\) 21.1769 + 12.2265i 1.40556 + 0.811501i 0.994956 0.100312i \(-0.0319842\pi\)
0.410605 + 0.911813i \(0.365318\pi\)
\(228\) 12.9183 + 7.45838i 0.855535 + 0.493943i
\(229\) −14.8865 + 8.59472i −0.983727 + 0.567955i −0.903393 0.428813i \(-0.858932\pi\)
−0.0803338 + 0.996768i \(0.525599\pi\)
\(230\) −6.83806 + 11.8439i −0.450888 + 0.780961i
\(231\) −1.85965 3.22102i −0.122356 0.211927i
\(232\) 3.86832i 0.253968i
\(233\) 25.1124 1.64517 0.822585 0.568643i \(-0.192531\pi\)
0.822585 + 0.568643i \(0.192531\pi\)
\(234\) 52.4197 10.4615i 3.42679 0.683891i
\(235\) 16.3625 28.3407i 1.06737 1.84875i
\(236\) −3.22279 + 1.86068i −0.209786 + 0.121120i
\(237\) 21.7038 37.5921i 1.40982 2.44187i
\(238\) 0.836390 1.44867i 0.0542151 0.0939033i
\(239\) 17.2799 + 9.97654i 1.11774 + 0.645329i 0.940824 0.338897i \(-0.110054\pi\)
0.176918 + 0.984226i \(0.443387\pi\)
\(240\) 39.8953i 2.57523i
\(241\) −1.10454 + 0.637709i −0.0711499 + 0.0410784i −0.535153 0.844755i \(-0.679746\pi\)
0.464003 + 0.885834i \(0.346413\pi\)
\(242\) −4.34791 + 2.51026i −0.279494 + 0.161366i
\(243\) 19.9551 34.5632i 1.28012 2.21723i
\(244\) −4.17863 −0.267510
\(245\) −16.6238 + 9.59777i −1.06206 + 0.613179i
\(246\) −37.1256 −2.36704
\(247\) −2.95096 + 8.71139i −0.187765 + 0.554293i
\(248\) −1.71879 1.40736i −0.109143 0.0893676i
\(249\) 18.0025i 1.14086i
\(250\) −11.6705 −0.738109
\(251\) −3.60922 6.25136i −0.227812 0.394582i 0.729347 0.684144i \(-0.239824\pi\)
−0.957159 + 0.289561i \(0.906491\pi\)
\(252\) 5.37492i 0.338588i
\(253\) 6.29207 + 3.63273i 0.395579 + 0.228388i
\(254\) −22.1804 + 12.8058i −1.39172 + 0.803510i
\(255\) −17.2644 + 9.96761i −1.08114 + 0.624196i
\(256\) 18.7581 1.17238
\(257\) −2.29540 + 3.97575i −0.143183 + 0.248001i −0.928694 0.370848i \(-0.879067\pi\)
0.785510 + 0.618848i \(0.212400\pi\)
\(258\) −17.2094 9.93585i −1.07141 0.618579i
\(259\) −0.947818 + 1.64167i −0.0588946 + 0.102008i
\(260\) −17.7998 + 3.55235i −1.10390 + 0.220307i
\(261\) −36.8910 + 63.8971i −2.28350 + 3.95513i
\(262\) −0.571342 + 0.329865i −0.0352977 + 0.0203791i
\(263\) 19.5592 1.20607 0.603037 0.797713i \(-0.293957\pi\)
0.603037 + 0.797713i \(0.293957\pi\)
\(264\) −3.77180 −0.232138
\(265\) 4.50321 2.59993i 0.276630 0.159712i
\(266\) 1.69327 + 0.977608i 0.103821 + 0.0599410i
\(267\) −40.3609 + 23.3024i −2.47005 + 1.42608i
\(268\) 2.44403 + 1.41106i 0.149293 + 0.0861941i
\(269\) 3.20526 5.55168i 0.195428 0.338492i −0.751612 0.659605i \(-0.770724\pi\)
0.947041 + 0.321113i \(0.104057\pi\)
\(270\) −41.0171 + 71.0436i −2.49622 + 4.32358i
\(271\) 6.68566i 0.406125i 0.979166 + 0.203063i \(0.0650895\pi\)
−0.979166 + 0.203063i \(0.934911\pi\)
\(272\) −4.76615 8.25522i −0.288991 0.500546i
\(273\) 4.53130 0.904320i 0.274246 0.0547319i
\(274\) −7.61604 + 13.1914i −0.460102 + 0.796919i
\(275\) 8.31113i 0.501180i
\(276\) 7.31934 + 12.6775i 0.440573 + 0.763094i
\(277\) −13.7416 −0.825655 −0.412827 0.910809i \(-0.635459\pi\)
−0.412827 + 0.910809i \(0.635459\pi\)
\(278\) 19.2897i 1.15692i
\(279\) 14.9695 + 39.6385i 0.896201 + 2.37309i
\(280\) 0.440196i 0.0263067i
\(281\) 7.63249i 0.455316i 0.973741 + 0.227658i \(0.0731068\pi\)
−0.973741 + 0.227658i \(0.926893\pi\)
\(282\) −37.0265 64.1317i −2.20489 3.81899i
\(283\) 3.47343 0.206474 0.103237 0.994657i \(-0.467080\pi\)
0.103237 + 0.994657i \(0.467080\pi\)
\(284\) −7.52098 4.34224i −0.446288 0.257665i
\(285\) −11.6506 20.1794i −0.690120 1.19532i
\(286\) 3.98968 + 19.9912i 0.235915 + 1.18210i
\(287\) −2.30182 −0.135872
\(288\) −50.8179 29.3397i −2.99447 1.72886i
\(289\) 6.11841 10.5974i 0.359906 0.623376i
\(290\) 26.4828 45.8696i 1.55512 2.69355i
\(291\) −2.39864 + 1.38486i −0.140611 + 0.0811818i
\(292\) 20.7825 + 11.9988i 1.21621 + 0.702177i
\(293\) 17.5373 10.1252i 1.02454 0.591519i 0.109125 0.994028i \(-0.465195\pi\)
0.915416 + 0.402509i \(0.131862\pi\)
\(294\) 43.4372i 2.53331i
\(295\) 5.81304 0.338448
\(296\) 0.961194 + 1.66484i 0.0558683 + 0.0967667i
\(297\) 37.7420 + 21.7904i 2.19001 + 1.26440i
\(298\) 19.8468 + 34.3757i 1.14970 + 1.99133i
\(299\) −6.78246 + 5.95567i −0.392240 + 0.344426i
\(300\) 8.37278 14.5021i 0.483403 0.837278i
\(301\) −1.06700 0.616031i −0.0615007 0.0355074i
\(302\) −15.7101 −0.904012
\(303\) 29.0196 + 50.2634i 1.66713 + 2.88755i
\(304\) 9.64905 5.57088i 0.553411 0.319512i
\(305\) 5.65285 + 3.26367i 0.323681 + 0.186877i
\(306\) 32.3559i 1.84966i
\(307\) 9.80736 5.66228i 0.559736 0.323164i −0.193304 0.981139i \(-0.561920\pi\)
0.753039 + 0.657975i \(0.228587\pi\)
\(308\) 2.04982 0.116799
\(309\) 25.4035 1.44515
\(310\) −10.7461 28.4551i −0.610338 1.61614i
\(311\) −26.9897 −1.53044 −0.765222 0.643766i \(-0.777371\pi\)
−0.765222 + 0.643766i \(0.777371\pi\)
\(312\) 1.50340 4.43814i 0.0851135 0.251260i
\(313\) 11.9234 + 20.6520i 0.673951 + 1.16732i 0.976774 + 0.214271i \(0.0687375\pi\)
−0.302823 + 0.953047i \(0.597929\pi\)
\(314\) 30.0626i 1.69653i
\(315\) −4.19802 + 7.27118i −0.236531 + 0.409684i
\(316\) 11.9616 + 20.7181i 0.672893 + 1.16548i
\(317\) 10.1857 5.88069i 0.572083 0.330293i −0.185898 0.982569i \(-0.559519\pi\)
0.757981 + 0.652277i \(0.226186\pi\)
\(318\) 11.7667i 0.659841i
\(319\) −24.3683 14.0690i −1.36436 0.787714i
\(320\) 15.2664 + 8.81405i 0.853417 + 0.492721i
\(321\) −23.3903 + 40.5131i −1.30552 + 2.26122i
\(322\) 0.959383 + 1.66170i 0.0534643 + 0.0926029i
\(323\) −4.82152 2.78370i −0.268276 0.154889i
\(324\) 23.4117 + 40.5502i 1.30065 + 2.25279i
\(325\) 9.77941 + 3.31274i 0.542464 + 0.183758i
\(326\) 15.1755 0.840496
\(327\) −50.4421 + 29.1228i −2.78946 + 1.61049i
\(328\) −1.16715 + 2.02157i −0.0644452 + 0.111622i
\(329\) −2.29567 3.97622i −0.126565 0.219216i
\(330\) −44.7250 25.8220i −2.46203 1.42145i
\(331\) −5.07397 2.92946i −0.278891 0.161018i 0.354030 0.935234i \(-0.384811\pi\)
−0.632921 + 0.774216i \(0.718144\pi\)
\(332\) −8.59245 4.96085i −0.471572 0.272262i
\(333\) 36.6665i 2.00931i
\(334\) 14.3262 + 24.8137i 0.783896 + 1.35775i
\(335\) −2.20418 3.81776i −0.120427 0.208586i
\(336\) −4.84743 2.79867i −0.264449 0.152680i
\(337\) 8.18593 0.445916 0.222958 0.974828i \(-0.428429\pi\)
0.222958 + 0.974828i \(0.428429\pi\)
\(338\) −25.1131 3.27379i −1.36598 0.178071i
\(339\) −15.8069 −0.858512
\(340\) 10.9869i 0.595847i
\(341\) −15.1168 + 5.70888i −0.818622 + 0.309153i
\(342\) −37.8189 −2.04501
\(343\) 5.44719i 0.294121i
\(344\) −1.08206 + 0.624725i −0.0583405 + 0.0336829i
\(345\) 22.8667i 1.23110i
\(346\) 35.9487 + 20.7550i 1.93261 + 1.11579i
\(347\) 11.2534 + 19.4915i 0.604114 + 1.04636i 0.992191 + 0.124730i \(0.0398064\pi\)
−0.388076 + 0.921627i \(0.626860\pi\)
\(348\) −28.3468 49.0980i −1.51955 2.63193i
\(349\) 5.79633i 0.310270i −0.987893 0.155135i \(-0.950419\pi\)
0.987893 0.155135i \(-0.0495813\pi\)
\(350\) 1.09746 1.90086i 0.0586618 0.101605i
\(351\) −40.6835 + 35.7242i −2.17153 + 1.90682i
\(352\) 11.1892 19.3803i 0.596387 1.03297i
\(353\) 15.1377 8.73976i 0.805699 0.465171i −0.0397609 0.999209i \(-0.512660\pi\)
0.845460 + 0.534039i \(0.179326\pi\)
\(354\) 6.57711 11.3919i 0.349569 0.605472i
\(355\) 6.78291 + 11.7483i 0.360000 + 0.623538i
\(356\) 25.6852i 1.36131i
\(357\) 2.79692i 0.148029i
\(358\) −24.1617 + 13.9497i −1.27698 + 0.737267i
\(359\) 7.80566 + 4.50660i 0.411967 + 0.237849i 0.691635 0.722248i \(-0.256891\pi\)
−0.279667 + 0.960097i \(0.590224\pi\)
\(360\) 4.25726 + 7.37379i 0.224377 + 0.388633i
\(361\) −6.24629 + 10.8189i −0.328752 + 0.569415i
\(362\) 10.0342 + 5.79324i 0.527385 + 0.304486i
\(363\) 4.19721 7.26979i 0.220297 0.381565i
\(364\) −0.817039 + 2.41195i −0.0428245 + 0.126420i
\(365\) −18.7431 32.4639i −0.981057 1.69924i
\(366\) 12.7917 7.38531i 0.668634 0.386036i
\(367\) −10.0816 + 17.4618i −0.526253 + 0.911497i 0.473279 + 0.880912i \(0.343070\pi\)
−0.999532 + 0.0305842i \(0.990263\pi\)
\(368\) 10.9341 0.569977
\(369\) 38.5581 22.2616i 2.00726 1.15889i
\(370\) 26.3216i 1.36840i
\(371\) 0.729542i 0.0378759i
\(372\) −32.1285 5.26753i −1.66579 0.273109i
\(373\) −7.83378 −0.405618 −0.202809 0.979218i \(-0.565007\pi\)
−0.202809 + 0.979218i \(0.565007\pi\)
\(374\) −12.3395 −0.638059
\(375\) 16.8991 9.75668i 0.872664 0.503833i
\(376\) −4.65614 −0.240122
\(377\) 26.2675 23.0655i 1.35284 1.18793i
\(378\) 5.75471 + 9.96746i 0.295990 + 0.512671i
\(379\) −21.6672 + 12.5096i −1.11297 + 0.642573i −0.939597 0.342283i \(-0.888800\pi\)
−0.173372 + 0.984856i \(0.555466\pi\)
\(380\) 12.8419 0.658776
\(381\) 21.4116 37.0860i 1.09695 1.89997i
\(382\) 17.0581 + 9.84847i 0.872766 + 0.503892i
\(383\) 17.5110 + 10.1100i 0.894770 + 0.516595i 0.875500 0.483219i \(-0.160532\pi\)
0.0192700 + 0.999814i \(0.493866\pi\)
\(384\) −8.95685 + 5.17124i −0.457077 + 0.263894i
\(385\) −2.77299 1.60099i −0.141325 0.0815938i
\(386\) −6.60630 11.4424i −0.336252 0.582405i
\(387\) 23.8312 1.21141
\(388\) 1.52647i 0.0774947i
\(389\) −8.14692 14.1109i −0.413065 0.715450i 0.582158 0.813076i \(-0.302208\pi\)
−0.995223 + 0.0976259i \(0.968875\pi\)
\(390\) 48.2108 42.3339i 2.44125 2.14366i
\(391\) −2.73181 4.73164i −0.138154 0.239289i
\(392\) 2.36525 + 1.36558i 0.119463 + 0.0689720i
\(393\) 0.551540 0.955296i 0.0278215 0.0481883i
\(394\) 4.79601 8.30693i 0.241619 0.418497i
\(395\) 37.3699i 1.88028i
\(396\) −34.3368 + 19.8244i −1.72549 + 0.996212i
\(397\) 10.3254 5.96139i 0.518218 0.299194i −0.217987 0.975952i \(-0.569949\pi\)
0.736205 + 0.676758i \(0.236616\pi\)
\(398\) −2.14363 1.23762i −0.107450 0.0620365i
\(399\) −3.26916 −0.163663
\(400\) −6.25387 10.8320i −0.312694 0.541601i
\(401\) 12.7872i 0.638561i 0.947660 + 0.319280i \(0.103441\pi\)
−0.947660 + 0.319280i \(0.896559\pi\)
\(402\) −9.97561 −0.497538
\(403\) −0.692005 20.0629i −0.0344712 0.999406i
\(404\) −31.9870 −1.59141
\(405\) 73.1417i 3.63444i
\(406\) −3.71555 6.43552i −0.184400 0.319390i
\(407\) 13.9834 0.693131
\(408\) 2.45639 + 1.41820i 0.121609 + 0.0702112i
\(409\) −16.9737 + 9.79976i −0.839295 + 0.484567i −0.857024 0.515276i \(-0.827689\pi\)
0.0177298 + 0.999843i \(0.494356\pi\)
\(410\) −27.6796 + 15.9808i −1.36700 + 0.789237i
\(411\) 25.4683i 1.25626i
\(412\) −7.00029 + 12.1249i −0.344880 + 0.597349i
\(413\) 0.407786 0.706306i 0.0200658 0.0347551i
\(414\) −32.1415 18.5569i −1.57967 0.912023i
\(415\) 7.74923 + 13.4221i 0.380395 + 0.658863i
\(416\) 18.3442 + 20.8907i 0.899396 + 1.02425i
\(417\) −16.1264 27.9318i −0.789714 1.36783i
\(418\) 14.4229i 0.705446i
\(419\) 27.0879 1.32333 0.661664 0.749800i \(-0.269850\pi\)
0.661664 + 0.749800i \(0.269850\pi\)
\(420\) −3.22572 5.58711i −0.157399 0.272623i
\(421\) 30.1768 + 17.4226i 1.47073 + 0.849125i 0.999460 0.0328657i \(-0.0104634\pi\)
0.471267 + 0.881990i \(0.343797\pi\)
\(422\) −6.01257 + 3.47136i −0.292687 + 0.168983i
\(423\) 76.9103 + 44.4042i 3.73951 + 2.15901i
\(424\) −0.640718 0.369919i −0.0311160 0.0179648i
\(425\) −3.12499 + 5.41264i −0.151584 + 0.262551i
\(426\) 30.6978 1.48732
\(427\) 0.793098 0.457895i 0.0383807 0.0221591i
\(428\) −12.8910 22.3279i −0.623112 1.07926i
\(429\) −22.4899 25.6121i −1.08582 1.23656i
\(430\) −17.1077 −0.825004
\(431\) −5.44350 + 3.14281i −0.262204 + 0.151384i −0.625340 0.780353i \(-0.715040\pi\)
0.363135 + 0.931736i \(0.381706\pi\)
\(432\) 65.5863 3.15552
\(433\) −0.433677 −0.0208412 −0.0104206 0.999946i \(-0.503317\pi\)
−0.0104206 + 0.999946i \(0.503317\pi\)
\(434\) −4.21125 0.690442i −0.202146 0.0331423i
\(435\) 88.5596i 4.24611i
\(436\) 32.1008i 1.53735i
\(437\) 5.53053 3.19306i 0.264561 0.152745i
\(438\) −84.8266 −4.05317
\(439\) 10.2222 17.7053i 0.487877 0.845029i −0.512025 0.858970i \(-0.671105\pi\)
0.999903 + 0.0139418i \(0.00443795\pi\)
\(440\) −2.81212 + 1.62358i −0.134063 + 0.0774011i
\(441\) −26.0462 45.1133i −1.24029 2.14825i
\(442\) 4.91840 14.5194i 0.233944 0.690618i
\(443\) −9.05329 + 15.6808i −0.430135 + 0.745015i −0.996885 0.0788746i \(-0.974867\pi\)
0.566750 + 0.823890i \(0.308201\pi\)
\(444\) 24.3996 + 14.0871i 1.15795 + 0.668545i
\(445\) −20.0611 + 34.7469i −0.950988 + 1.64716i
\(446\) 15.6600 + 27.1240i 0.741524 + 1.28436i
\(447\) −57.4769 33.1843i −2.71856 1.56956i
\(448\) 2.14188 1.23662i 0.101194 0.0584246i
\(449\) 28.1251i 1.32731i 0.748040 + 0.663654i \(0.230995\pi\)
−0.748040 + 0.663654i \(0.769005\pi\)
\(450\) 42.4555i 2.00137i
\(451\) 8.48983 + 14.7048i 0.399770 + 0.692423i
\(452\) 4.35581 7.54449i 0.204880 0.354863i
\(453\) 22.7483 13.1338i 1.06881 0.617078i
\(454\) 23.8187 41.2553i 1.11787 1.93621i
\(455\) 2.98911 2.62474i 0.140132 0.123050i
\(456\) −1.65765 + 2.87113i −0.0776265 + 0.134453i
\(457\) 29.7195i 1.39022i −0.718904 0.695109i \(-0.755356\pi\)
0.718904 0.695109i \(-0.244644\pi\)
\(458\) 16.7436 + 29.0008i 0.782377 + 1.35512i
\(459\) −16.3864 28.3820i −0.764849 1.32476i
\(460\) 10.9141 + 6.30126i 0.508872 + 0.293798i
\(461\) 34.5949i 1.61124i −0.592429 0.805622i \(-0.701831\pi\)
0.592429 0.805622i \(-0.298169\pi\)
\(462\) −6.27494 + 3.62284i −0.291937 + 0.168550i
\(463\) 40.5868i 1.88623i 0.332471 + 0.943113i \(0.392118\pi\)
−0.332471 + 0.943113i \(0.607882\pi\)
\(464\) −42.3460 −1.96586
\(465\) 39.3493 + 32.2195i 1.82478 + 1.49414i
\(466\) 48.9221i 2.26627i
\(467\) −26.3998 −1.22164 −0.610818 0.791771i \(-0.709159\pi\)
−0.610818 + 0.791771i \(0.709159\pi\)
\(468\) −9.64027 48.3047i −0.445622 2.23289i
\(469\) −0.618496 −0.0285595
\(470\) −55.2113 31.8763i −2.54671 1.47034i
\(471\) 25.1326 + 43.5310i 1.15805 + 2.00580i
\(472\) −0.413541 0.716274i −0.0190348 0.0329692i
\(473\) 9.08846i 0.417888i
\(474\) −73.2342 42.2818i −3.36376 1.94207i
\(475\) −6.32652 3.65262i −0.290280 0.167594i
\(476\) −1.33495 0.770732i −0.0611872 0.0353264i
\(477\) 7.05561 + 12.2207i 0.323054 + 0.559546i
\(478\) 19.4356 33.6634i 0.888962 1.53973i
\(479\) 30.8873 17.8328i 1.41128 0.814801i 0.415768 0.909471i \(-0.363513\pi\)
0.995509 + 0.0946695i \(0.0301794\pi\)
\(480\) −70.4322 −3.21477
\(481\) −5.57366 + 16.4538i −0.254137 + 0.750227i
\(482\) 1.24234 + 2.15179i 0.0565869 + 0.0980114i
\(483\) −2.77840 1.60411i −0.126421 0.0729894i
\(484\) 2.31320 + 4.00659i 0.105146 + 0.182118i
\(485\) −1.19223 + 2.06500i −0.0541364 + 0.0937670i
\(486\) −67.3335 38.8750i −3.05431 1.76341i
\(487\) −3.75934 2.17046i −0.170352 0.0983529i 0.412400 0.911003i \(-0.364691\pi\)
−0.582752 + 0.812650i \(0.698024\pi\)
\(488\) 0.928714i 0.0420409i
\(489\) −21.9744 + 12.6869i −0.993715 + 0.573722i
\(490\) 18.6977 + 32.3853i 0.844675 + 1.46302i
\(491\) −4.11707 + 7.13097i −0.185801 + 0.321816i −0.943846 0.330386i \(-0.892821\pi\)
0.758045 + 0.652202i \(0.226155\pi\)
\(492\) 34.2112i 1.54236i
\(493\) 10.5799 + 18.3249i 0.476495 + 0.825314i
\(494\) 16.9709 + 5.74883i 0.763556 + 0.258652i
\(495\) 61.9344 2.78374
\(496\) −15.4062 + 18.8154i −0.691760 + 0.844837i
\(497\) 1.90329 0.0853743
\(498\) 35.0712 1.57158
\(499\) −25.9484 + 14.9813i −1.16161 + 0.670656i −0.951689 0.307063i \(-0.900654\pi\)
−0.209921 + 0.977718i \(0.567321\pi\)
\(500\) 10.7544i 0.480950i
\(501\) −41.4891 23.9537i −1.85360 1.07017i
\(502\) −12.1784 + 7.03122i −0.543550 + 0.313819i
\(503\) −13.2921 23.0225i −0.592664 1.02652i −0.993872 0.110537i \(-0.964743\pi\)
0.401208 0.915987i \(-0.368590\pi\)
\(504\) 1.19459 0.0532113
\(505\) 43.2720 + 24.9831i 1.92558 + 1.11173i
\(506\) 7.07701 12.2577i 0.314611 0.544923i
\(507\) 39.1011 16.2544i 1.73654 0.721881i
\(508\) 11.8006 + 20.4392i 0.523565 + 0.906841i
\(509\) −7.60262 4.38937i −0.336980 0.194556i 0.321956 0.946755i \(-0.395660\pi\)
−0.658936 + 0.752199i \(0.728993\pi\)
\(510\) 19.4182 + 33.6332i 0.859851 + 1.48930i
\(511\) −5.25932 −0.232659
\(512\) 30.1929i 1.33435i
\(513\) 33.1741 19.1531i 1.46467 0.845628i
\(514\) 7.74526 + 4.47173i 0.341629 + 0.197240i
\(515\) 18.9400 10.9350i 0.834594 0.481853i
\(516\) −9.15587 + 15.8584i −0.403065 + 0.698128i
\(517\) −16.9343 + 29.3311i −0.744770 + 1.28998i
\(518\) 3.19818 + 1.84647i 0.140520 + 0.0811292i
\(519\) −69.4055 −3.04656
\(520\) −0.789521 3.95607i −0.0346228 0.173485i
\(521\) 3.01336 + 5.21930i 0.132018 + 0.228662i 0.924454 0.381293i \(-0.124521\pi\)
−0.792436 + 0.609954i \(0.791188\pi\)
\(522\) 124.480 + 71.8683i 5.44832 + 3.14559i
\(523\) −4.72338 −0.206539 −0.103269 0.994653i \(-0.532930\pi\)
−0.103269 + 0.994653i \(0.532930\pi\)
\(524\) 0.303970 + 0.526491i 0.0132790 + 0.0229999i
\(525\) 3.66996i 0.160170i
\(526\) 38.1038i 1.66141i
\(527\) 11.9914 + 1.96601i 0.522353 + 0.0856408i
\(528\) 41.2894i 1.79689i
\(529\) −16.7329 −0.727519
\(530\) −5.06499 8.77281i −0.220009 0.381067i
\(531\) 15.7753i 0.684588i
\(532\) 0.900864 1.56034i 0.0390574 0.0676494i
\(533\) −20.6866 + 4.12847i −0.896036 + 0.178824i
\(534\) 45.3959 + 78.6281i 1.96447 + 3.40257i
\(535\) 40.2736i 1.74118i
\(536\) −0.313612 + 0.543192i −0.0135460 + 0.0234623i
\(537\) 23.3243 40.3988i 1.00652 1.74334i
\(538\) −10.8154 6.24426i −0.466284 0.269209i
\(539\) 17.2047 9.93316i 0.741060 0.427851i
\(540\) 65.4666 + 37.7971i 2.81723 + 1.62653i
\(541\) 29.0723 16.7849i 1.24992 0.721640i 0.278825 0.960342i \(-0.410055\pi\)
0.971093 + 0.238702i \(0.0767218\pi\)
\(542\) 13.0245 0.559451
\(543\) −19.3728 −0.831368
\(544\) −14.5740 + 8.41429i −0.624854 + 0.360760i
\(545\) −25.0719 + 43.4259i −1.07396 + 1.86016i
\(546\) −1.76173 8.82753i −0.0753950 0.377784i
\(547\) 3.59702 6.23022i 0.153797 0.266385i −0.778823 0.627244i \(-0.784183\pi\)
0.932620 + 0.360859i \(0.117516\pi\)
\(548\) 12.1558 + 7.01816i 0.519271 + 0.299801i
\(549\) −8.85687 + 15.3405i −0.378002 + 0.654718i
\(550\) −16.1911 −0.690392
\(551\) −21.4190 + 12.3662i −0.912478 + 0.526820i
\(552\) −2.81761 + 1.62675i −0.119925 + 0.0692389i
\(553\) −4.54058 2.62151i −0.193085 0.111478i
\(554\) 26.7704i 1.13737i
\(555\) −22.0052 38.1140i −0.934067 1.61785i
\(556\) 17.7755 0.753847
\(557\) 22.0790i 0.935519i 0.883856 + 0.467760i \(0.154939\pi\)
−0.883856 + 0.467760i \(0.845061\pi\)
\(558\) 77.2208 29.1625i 3.26902 1.23455i
\(559\) −10.6941 3.62258i −0.452311 0.153219i
\(560\) −4.81877 −0.203630
\(561\) 17.8677 10.3159i 0.754375 0.435538i
\(562\) 14.8691 0.627213
\(563\) −8.70440 + 15.0765i −0.366847 + 0.635397i −0.989071 0.147442i \(-0.952896\pi\)
0.622224 + 0.782839i \(0.286229\pi\)
\(564\) −59.0973 + 34.1198i −2.48844 + 1.43670i
\(565\) −11.7851 + 6.80411i −0.495802 + 0.286251i
\(566\) 6.76667i 0.284425i
\(567\) −8.88700 5.13091i −0.373219 0.215478i
\(568\) 0.965076 1.67156i 0.0404937 0.0701371i
\(569\) 3.33911 5.78351i 0.139983 0.242457i −0.787507 0.616306i \(-0.788629\pi\)
0.927490 + 0.373848i \(0.121962\pi\)
\(570\) −39.3119 + 22.6968i −1.64660 + 0.950663i
\(571\) −3.28689 + 5.69306i −0.137552 + 0.238247i −0.926569 0.376124i \(-0.877257\pi\)
0.789017 + 0.614371i \(0.210590\pi\)
\(572\) 18.4218 3.67648i 0.770255 0.153721i
\(573\) −32.9337 −1.37582
\(574\) 4.48423i 0.187168i
\(575\) −3.58452 6.20858i −0.149485 0.258916i
\(576\) −23.9193 + 41.4295i −0.996639 + 1.72623i
\(577\) −3.95027 + 2.28069i −0.164452 + 0.0949463i −0.579967 0.814640i \(-0.696935\pi\)
0.415515 + 0.909586i \(0.363601\pi\)
\(578\) −20.6451 11.9194i −0.858721 0.495783i
\(579\) 19.1320 + 11.0459i 0.795099 + 0.459051i
\(580\) −42.2687 24.4039i −1.75511 1.01332i
\(581\) 2.17444 0.0902111
\(582\) 2.69788 + 4.67286i 0.111831 + 0.193696i
\(583\) −4.66057 + 2.69078i −0.193021 + 0.111441i
\(584\) −2.66677 + 4.61898i −0.110352 + 0.191135i
\(585\) −24.6865 + 72.8759i −1.02066 + 3.01305i
\(586\) −19.7251 34.1649i −0.814837 1.41134i
\(587\) 39.3937i 1.62595i −0.582298 0.812976i \(-0.697846\pi\)
0.582298 0.812976i \(-0.302154\pi\)
\(588\) 40.0273 1.65070
\(589\) −2.29796 + 14.0160i −0.0946856 + 0.577521i
\(590\) 11.3245i 0.466224i
\(591\) 16.0380i 0.659717i
\(592\) 18.2248 10.5221i 0.749033 0.432455i
\(593\) 3.85560i 0.158330i 0.996862 + 0.0791652i \(0.0252255\pi\)
−0.996862 + 0.0791652i \(0.974775\pi\)
\(594\) 42.4503 73.5262i 1.74176 3.01681i
\(595\) 1.20394 + 2.08529i 0.0493568 + 0.0854885i
\(596\) 31.6771 18.2888i 1.29755 0.749139i
\(597\) 4.13867 0.169384
\(598\) 11.6024 + 13.2131i 0.474458 + 0.540323i
\(599\) −6.83397 + 11.8368i −0.279228 + 0.483638i −0.971193 0.238293i \(-0.923412\pi\)
0.691965 + 0.721931i \(0.256745\pi\)
\(600\) 3.22313 + 1.86088i 0.131584 + 0.0759699i
\(601\) −9.64453 16.7048i −0.393409 0.681404i 0.599488 0.800384i \(-0.295371\pi\)
−0.992897 + 0.118980i \(0.962038\pi\)
\(602\) −1.20011 + 2.07864i −0.0489127 + 0.0847192i
\(603\) 10.3605 5.98165i 0.421913 0.243592i
\(604\) 14.4768i 0.589052i
\(605\) 7.22680i 0.293811i
\(606\) 97.9193 56.5338i 3.97770 2.29653i
\(607\) −3.13298 + 5.42648i −0.127164 + 0.220254i −0.922577 0.385814i \(-0.873921\pi\)
0.795413 + 0.606068i \(0.207254\pi\)
\(608\) −9.83498 17.0347i −0.398861 0.690847i
\(609\) 10.7603 + 6.21248i 0.436030 + 0.251742i
\(610\) 6.35805 11.0125i 0.257430 0.445882i
\(611\) −27.7630 31.6171i −1.12317 1.27909i
\(612\) 29.8159 1.20523
\(613\) 25.0505 14.4629i 1.01178 0.584151i 0.100068 0.994981i \(-0.468094\pi\)
0.911712 + 0.410829i \(0.134761\pi\)
\(614\) −11.0308 19.1060i −0.445168 0.771054i
\(615\) 26.7203 46.2808i 1.07746 1.86622i
\(616\) 0.455578i 0.0183558i
\(617\) 35.6906 20.6060i 1.43685 0.829566i 0.439221 0.898379i \(-0.355255\pi\)
0.997630 + 0.0688134i \(0.0219213\pi\)
\(618\) 49.4892i 1.99075i
\(619\) 48.9910i 1.96911i −0.175064 0.984557i \(-0.556013\pi\)
0.175064 0.984557i \(-0.443987\pi\)
\(620\) −26.2214 + 9.90252i −1.05308 + 0.397695i
\(621\) 37.5920 1.50852
\(622\) 52.5793i 2.10824i
\(623\) 2.81459 + 4.87501i 0.112764 + 0.195313i
\(624\) −48.5838 16.4576i −1.94491 0.658831i
\(625\) 15.5589 26.9487i 0.622354 1.07795i
\(626\) 40.2326 23.2283i 1.60802 0.928390i
\(627\) 12.0577 + 20.8845i 0.481537 + 0.834047i
\(628\) −27.7026 −1.10546
\(629\) −9.10671 5.25776i −0.363108 0.209641i
\(630\) 14.1652 + 8.17826i 0.564354 + 0.325830i
\(631\) −31.2758 18.0571i −1.24507 0.718842i −0.274948 0.961459i \(-0.588661\pi\)
−0.970122 + 0.242617i \(0.921994\pi\)
\(632\) −4.60466 + 2.65850i −0.183164 + 0.105750i
\(633\) 5.80418 10.0531i 0.230696 0.399577i
\(634\) −11.4563 19.8429i −0.454989 0.788064i
\(635\) 36.8668i 1.46301i
\(636\) −10.8429 −0.429951
\(637\) 4.83033 + 24.2035i 0.191385 + 0.958976i
\(638\) −27.4082 + 47.4724i −1.08510 + 1.87945i
\(639\) −31.8823 + 18.4073i −1.26125 + 0.728181i
\(640\) −4.45195 + 7.71100i −0.175979 + 0.304804i
\(641\) 12.0437 20.8603i 0.475698 0.823933i −0.523914 0.851771i \(-0.675529\pi\)
0.999612 + 0.0278376i \(0.00886214\pi\)
\(642\) 78.9246 + 45.5672i 3.11491 + 1.79839i
\(643\) 1.44128i 0.0568384i 0.999596 + 0.0284192i \(0.00904733\pi\)
−0.999596 + 0.0284192i \(0.990953\pi\)
\(644\) 1.53125 0.884070i 0.0603398 0.0348372i
\(645\) 24.7721 14.3022i 0.975400 0.563147i
\(646\) −5.42301 + 9.39292i −0.213365 + 0.369560i
\(647\) −38.2012 −1.50184 −0.750922 0.660391i \(-0.770391\pi\)
−0.750922 + 0.660391i \(0.770391\pi\)
\(648\) −9.01242 + 5.20332i −0.354041 + 0.204406i
\(649\) −6.01617 −0.236155
\(650\) 6.45364 19.0515i 0.253133 0.747262i
\(651\) 6.67516 2.52088i 0.261620 0.0988011i
\(652\) 13.9842i 0.547665i
\(653\) −3.67676 −0.143883 −0.0719413 0.997409i \(-0.522919\pi\)
−0.0719413 + 0.997409i \(0.522919\pi\)
\(654\) 56.7348 + 98.2676i 2.21851 + 3.84257i
\(655\) 0.949648i 0.0371058i
\(656\) 22.1298 + 12.7767i 0.864025 + 0.498845i
\(657\) 88.0997 50.8644i 3.43710 1.98441i
\(658\) −7.74618 + 4.47226i −0.301977 + 0.174347i
\(659\) −26.5259 −1.03330 −0.516652 0.856196i \(-0.672822\pi\)
−0.516652 + 0.856196i \(0.672822\pi\)
\(660\) −23.7949 + 41.2140i −0.926217 + 1.60425i
\(661\) −13.5103 7.80019i −0.525491 0.303392i 0.213687 0.976902i \(-0.431453\pi\)
−0.739178 + 0.673510i \(0.764786\pi\)
\(662\) −5.70695 + 9.88473i −0.221807 + 0.384181i
\(663\) 5.01646 + 25.1361i 0.194823 + 0.976205i
\(664\) 1.10256 1.90970i 0.0427878 0.0741107i
\(665\) −2.43737 + 1.40722i −0.0945173 + 0.0545696i
\(666\) −71.4309 −2.76789
\(667\) −24.2714 −0.939793
\(668\) 22.8658 13.2016i 0.884705 0.510785i
\(669\) −45.3518 26.1839i −1.75340 1.01233i
\(670\) −7.43747 + 4.29402i −0.287334 + 0.165893i
\(671\) −5.85038 3.37772i −0.225851 0.130395i
\(672\) −4.94084 + 8.55778i −0.190597 + 0.330123i
\(673\) 6.45759 11.1849i 0.248922 0.431145i −0.714305 0.699834i \(-0.753257\pi\)
0.963227 + 0.268689i \(0.0865905\pi\)
\(674\) 15.9472i 0.614264i
\(675\) −21.5012 37.2412i −0.827582 1.43341i
\(676\) −3.01679 + 23.1417i −0.116030 + 0.890066i
\(677\) 5.27552 9.13747i 0.202755 0.351181i −0.746660 0.665206i \(-0.768344\pi\)
0.949415 + 0.314024i \(0.101677\pi\)
\(678\) 30.7938i 1.18263i
\(679\) 0.167271 + 0.289721i 0.00641925 + 0.0111185i
\(680\) 2.44187 0.0936413
\(681\) 79.6509i 3.05223i
\(682\) 11.1216 + 29.4495i 0.425869 + 1.12768i
\(683\) 6.79560i 0.260027i −0.991512 0.130013i \(-0.958498\pi\)
0.991512 0.130013i \(-0.0415020\pi\)
\(684\) 34.8500i 1.33252i
\(685\) −10.9629 18.9883i −0.418871 0.725506i
\(686\) 10.6118 0.405161
\(687\) −48.4899 27.9956i −1.85000 1.06810i
\(688\) 6.83879 + 11.8451i 0.260726 + 0.451591i
\(689\) −1.30848 6.55644i −0.0498492 0.249780i
\(690\) −44.5473 −1.69589
\(691\) 12.8471 + 7.41725i 0.488725 + 0.282166i 0.724045 0.689752i \(-0.242281\pi\)
−0.235320 + 0.971918i \(0.575614\pi\)
\(692\) 19.1257 33.1266i 0.727049 1.25929i
\(693\) 4.34471 7.52526i 0.165042 0.285861i
\(694\) 37.9718 21.9231i 1.44139 0.832188i
\(695\) −24.0466 13.8833i −0.912140 0.526624i
\(696\) 10.9122 6.30015i 0.413625 0.238807i
\(697\) 12.7687i 0.483649i
\(698\) −11.2920 −0.427408
\(699\) 40.8994 + 70.8399i 1.54696 + 2.67941i
\(700\) −1.75164 1.01131i −0.0662057 0.0382239i
\(701\) −23.0742 39.9657i −0.871500 1.50948i −0.860444 0.509544i \(-0.829814\pi\)
−0.0110560 0.999939i \(-0.503519\pi\)
\(702\) 69.5952 + 79.2567i 2.62670 + 2.99135i
\(703\) 6.14549 10.6443i 0.231782 0.401457i
\(704\) −15.7999 9.12205i −0.595480 0.343800i
\(705\) 106.596 4.01462
\(706\) −17.0262 29.4902i −0.640788 1.10988i
\(707\) 6.07108 3.50514i 0.228326 0.131824i
\(708\) −10.4976 6.06079i −0.394524 0.227779i
\(709\) 11.5896i 0.435258i 0.976032 + 0.217629i \(0.0698323\pi\)
−0.976032 + 0.217629i \(0.930168\pi\)
\(710\) 22.8873 13.2140i 0.858944 0.495911i
\(711\) 101.413 3.80330
\(712\) 5.70861 0.213939
\(713\) −8.83037 + 10.7844i −0.330700 + 0.403879i
\(714\) 5.44876 0.203915
\(715\) −27.7925 9.41462i −1.03938 0.352087i
\(716\) 12.8547 + 22.2649i 0.480401 + 0.832079i
\(717\) 64.9933i 2.42722i
\(718\) 8.77943 15.2064i 0.327645 0.567498i
\(719\) −5.78032 10.0118i −0.215570 0.373377i 0.737879 0.674933i \(-0.235827\pi\)
−0.953449 + 0.301556i \(0.902494\pi\)
\(720\) 80.7200 46.6037i 3.00826 1.73682i
\(721\) 3.06837i 0.114272i
\(722\) 21.0766 + 12.1686i 0.784388 + 0.452867i
\(723\) −3.59784 2.07721i −0.133805 0.0772524i
\(724\) 5.33846 9.24649i 0.198402 0.343643i
\(725\) 13.8823 + 24.0449i 0.515577 + 0.893006i
\(726\) −14.1625 8.17670i −0.525618 0.303466i
\(727\) 6.81251 + 11.7996i 0.252662 + 0.437624i 0.964258 0.264965i \(-0.0853606\pi\)
−0.711596 + 0.702589i \(0.752027\pi\)
\(728\) −0.536062 0.181589i −0.0198678 0.00673015i
\(729\) 51.7517 1.91673
\(730\) −63.2438 + 36.5138i −2.34076 + 1.35144i
\(731\) 3.41726 5.91887i 0.126392 0.218917i
\(732\) −6.80555 11.7876i −0.251540 0.435680i
\(733\) −31.7908 18.3544i −1.17422 0.677936i −0.219549 0.975601i \(-0.570459\pi\)
−0.954670 + 0.297665i \(0.903792\pi\)
\(734\) 34.0177 + 19.6401i 1.25562 + 0.724931i
\(735\) −54.1489 31.2629i −1.99731 1.15315i
\(736\) 19.3033i 0.711528i
\(737\) 2.28121 + 3.95116i 0.0840293 + 0.145543i
\(738\) −43.3683 75.1161i −1.59641 2.76506i
\(739\) 9.12783 + 5.26995i 0.335773 + 0.193858i 0.658401 0.752667i \(-0.271233\pi\)
−0.322629 + 0.946526i \(0.604566\pi\)
\(740\) 24.2553 0.891644
\(741\) −29.3801 + 5.86346i −1.07931 + 0.215399i
\(742\) −1.42124 −0.0521754
\(743\) 15.6120i 0.572747i −0.958118 0.286374i \(-0.907550\pi\)
0.958118 0.286374i \(-0.0924498\pi\)
\(744\) 1.17072 7.14067i 0.0429209 0.261790i
\(745\) −57.1370 −2.09334
\(746\) 15.2612i 0.558752i
\(747\) −36.4244 + 21.0297i −1.33270 + 0.769435i
\(748\) 11.3708i 0.415757i
\(749\) 4.89339 + 2.82520i 0.178801 + 0.103231i
\(750\) −19.0072 32.9215i −0.694046 1.20212i
\(751\) 4.70463 + 8.14866i 0.171674 + 0.297349i 0.939005 0.343903i \(-0.111749\pi\)
−0.767331 + 0.641251i \(0.778416\pi\)
\(752\) 50.9702i 1.85869i
\(753\) 11.7563 20.3626i 0.428425 0.742054i
\(754\) −44.9344 51.1724i −1.63642 1.86359i
\(755\) 11.3069 19.5842i 0.411501 0.712741i
\(756\) 9.18499 5.30296i 0.334055 0.192867i
\(757\) −11.7570 + 20.3638i −0.427317 + 0.740135i −0.996634 0.0819835i \(-0.973875\pi\)
0.569317 + 0.822118i \(0.307208\pi\)
\(758\) 24.3702 + 42.2104i 0.885165 + 1.53315i
\(759\) 23.6658i 0.859014i
\(760\) 2.85415i 0.103531i
\(761\) −25.1743 + 14.5344i −0.912567 + 0.526871i −0.881256 0.472639i \(-0.843302\pi\)
−0.0313111 + 0.999510i \(0.509968\pi\)
\(762\) −72.2483 41.7125i −2.61728 1.51109i
\(763\) 3.51761 + 6.09267i 0.127346 + 0.220569i
\(764\) 9.07535 15.7190i 0.328335 0.568692i
\(765\) −40.3348 − </