Properties

Label 731.2.m.c.87.2
Level 731
Weight 2
Character 731.87
Analytic conductor 5.837
Analytic rank 0
Dimension 128
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.m (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(32\) over \(\Q(\zeta_{8})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 87.2
Character \(\chi\) = 731.87
Dual form 731.2.m.c.689.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.80058 - 1.80058i) q^{2} +(-0.368420 + 0.152604i) q^{3} +4.48416i q^{4} +(0.0622629 + 0.150316i) q^{5} +(0.938144 + 0.388592i) q^{6} +(1.14823 - 2.77206i) q^{7} +(4.47291 - 4.47291i) q^{8} +(-2.00888 + 2.00888i) q^{9} +O(q^{10})\) \(q+(-1.80058 - 1.80058i) q^{2} +(-0.368420 + 0.152604i) q^{3} +4.48416i q^{4} +(0.0622629 + 0.150316i) q^{5} +(0.938144 + 0.388592i) q^{6} +(1.14823 - 2.77206i) q^{7} +(4.47291 - 4.47291i) q^{8} +(-2.00888 + 2.00888i) q^{9} +(0.158546 - 0.382765i) q^{10} +(-1.57389 - 0.651925i) q^{11} +(-0.684302 - 1.65205i) q^{12} +3.00462i q^{13} +(-7.05878 + 2.92384i) q^{14} +(-0.0458778 - 0.0458778i) q^{15} -7.13934 q^{16} +(3.18807 - 2.61461i) q^{17} +7.23427 q^{18} +(0.112162 + 0.112162i) q^{19} +(-0.674040 + 0.279196i) q^{20} +1.19651i q^{21} +(1.66006 + 4.00774i) q^{22} +(2.56809 + 1.06374i) q^{23} +(-0.965323 + 2.33050i) q^{24} +(3.51682 - 3.51682i) q^{25} +(5.41004 - 5.41004i) q^{26} +(0.891359 - 2.15193i) q^{27} +(12.4304 + 5.14882i) q^{28} +(-0.923519 - 2.22957i) q^{29} +0.165213i q^{30} +(-6.86019 + 2.84159i) q^{31} +(3.90910 + 3.90910i) q^{32} +0.679337 q^{33} +(-10.4482 - 1.03256i) q^{34} +0.488177 q^{35} +(-9.00811 - 9.00811i) q^{36} +(7.65833 - 3.17218i) q^{37} -0.403914i q^{38} +(-0.458518 - 1.10696i) q^{39} +(0.950847 + 0.393854i) q^{40} +(3.66091 - 8.83822i) q^{41} +(2.15440 - 2.15440i) q^{42} +(-0.707107 + 0.707107i) q^{43} +(2.92333 - 7.05755i) q^{44} +(-0.427044 - 0.176888i) q^{45} +(-2.70870 - 6.53938i) q^{46} -9.39127i q^{47} +(2.63027 - 1.08949i) q^{48} +(-1.41616 - 1.41616i) q^{49} -12.6646 q^{50} +(-0.775547 + 1.44979i) q^{51} -13.4732 q^{52} +(-8.23127 - 8.23127i) q^{53} +(-5.47968 + 2.26976i) q^{54} -0.277171i q^{55} +(-7.26328 - 17.5351i) q^{56} +(-0.0584394 - 0.0242064i) q^{57} +(-2.35165 + 5.67739i) q^{58} +(0.701014 - 0.701014i) q^{59} +(0.205723 - 0.205723i) q^{60} +(3.38216 - 8.16525i) q^{61} +(17.4688 + 7.23581i) q^{62} +(3.26208 + 7.87537i) q^{63} +0.201396i q^{64} +(-0.451642 + 0.187076i) q^{65} +(-1.22320 - 1.22320i) q^{66} -13.0035 q^{67} +(11.7243 + 14.2958i) q^{68} -1.10846 q^{69} +(-0.879000 - 0.879000i) q^{70} +(-2.99958 + 1.24246i) q^{71} +17.9710i q^{72} +(5.08565 + 12.2778i) q^{73} +(-19.5012 - 8.07765i) q^{74} +(-0.758983 + 1.83235i) q^{75} +(-0.502954 + 0.502954i) q^{76} +(-3.61435 + 3.61435i) q^{77} +(-1.16757 + 2.81876i) q^{78} +(5.26764 + 2.18193i) q^{79} +(-0.444516 - 1.07316i) q^{80} -7.59410i q^{81} +(-22.5056 + 9.32214i) q^{82} +(1.23898 + 1.23898i) q^{83} -5.36532 q^{84} +(0.591516 + 0.316425i) q^{85} +2.54640 q^{86} +(0.680485 + 0.680485i) q^{87} +(-9.95586 + 4.12385i) q^{88} -13.2445i q^{89} +(0.450427 + 1.08743i) q^{90} +(8.32898 + 3.44998i) q^{91} +(-4.76996 + 11.5157i) q^{92} +(2.09379 - 2.09379i) q^{93} +(-16.9097 + 16.9097i) q^{94} +(-0.00987625 + 0.0238434i) q^{95} +(-2.03674 - 0.843644i) q^{96} +(0.993185 + 2.39776i) q^{97} +5.09979i q^{98} +(4.47138 - 1.85210i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q + 4q^{2} + 4q^{3} + 8q^{5} - 12q^{6} + 4q^{7} - 4q^{8} + 8q^{9} + O(q^{10}) \) \( 128q + 4q^{2} + 4q^{3} + 8q^{5} - 12q^{6} + 4q^{7} - 4q^{8} + 8q^{9} - 8q^{10} - 4q^{11} + 12q^{12} + 12q^{14} - 12q^{15} - 144q^{16} - 12q^{17} + 64q^{18} - 28q^{19} - 8q^{20} - 12q^{22} + 16q^{23} - 16q^{24} - 20q^{25} + 16q^{26} - 8q^{27} + 20q^{28} + 12q^{31} - 4q^{32} - 104q^{33} + 20q^{34} + 32q^{35} - 96q^{36} - 12q^{37} + 8q^{39} + 216q^{40} + 24q^{41} - 4q^{42} + 24q^{44} - 28q^{45} - 48q^{46} + 28q^{48} - 80q^{50} - 20q^{51} + 56q^{52} - 36q^{53} - 12q^{54} - 8q^{56} + 72q^{57} - 32q^{58} + 48q^{59} - 40q^{60} - 76q^{61} - 44q^{62} + 36q^{65} - 68q^{66} - 48q^{67} + 32q^{68} + 216q^{69} - 196q^{70} + 4q^{71} + 20q^{73} + 88q^{74} + 80q^{75} + 72q^{76} + 28q^{77} - 120q^{78} + 68q^{79} - 68q^{80} + 28q^{82} - 36q^{83} - 152q^{84} + 28q^{85} - 24q^{86} - 56q^{87} + 20q^{88} - 112q^{90} + 96q^{91} - 28q^{92} + 24q^{93} - 36q^{94} - 108q^{95} + 272q^{96} + 8q^{97} - 20q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(173\) \(562\)
\(\chi(n)\) \(e\left(\frac{7}{8}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.80058 1.80058i −1.27320 1.27320i −0.944399 0.328801i \(-0.893355\pi\)
−0.328801 0.944399i \(-0.606645\pi\)
\(3\) −0.368420 + 0.152604i −0.212707 + 0.0881062i −0.486493 0.873684i \(-0.661724\pi\)
0.273786 + 0.961791i \(0.411724\pi\)
\(4\) 4.48416i 2.24208i
\(5\) 0.0622629 + 0.150316i 0.0278448 + 0.0672233i 0.937190 0.348818i \(-0.113417\pi\)
−0.909346 + 0.416042i \(0.863417\pi\)
\(6\) 0.938144 + 0.388592i 0.382996 + 0.158642i
\(7\) 1.14823 2.77206i 0.433988 1.04774i −0.544001 0.839085i \(-0.683091\pi\)
0.977989 0.208656i \(-0.0669089\pi\)
\(8\) 4.47291 4.47291i 1.58141 1.58141i
\(9\) −2.00888 + 2.00888i −0.669625 + 0.669625i
\(10\) 0.158546 0.382765i 0.0501367 0.121041i
\(11\) −1.57389 0.651925i −0.474544 0.196563i 0.132576 0.991173i \(-0.457675\pi\)
−0.607120 + 0.794610i \(0.707675\pi\)
\(12\) −0.684302 1.65205i −0.197541 0.476906i
\(13\) 3.00462i 0.833331i 0.909060 + 0.416665i \(0.136801\pi\)
−0.909060 + 0.416665i \(0.863199\pi\)
\(14\) −7.05878 + 2.92384i −1.88654 + 0.781430i
\(15\) −0.0458778 0.0458778i −0.0118456 0.0118456i
\(16\) −7.13934 −1.78483
\(17\) 3.18807 2.61461i 0.773221 0.634137i
\(18\) 7.23427 1.70513
\(19\) 0.112162 + 0.112162i 0.0257318 + 0.0257318i 0.719856 0.694124i \(-0.244208\pi\)
−0.694124 + 0.719856i \(0.744208\pi\)
\(20\) −0.674040 + 0.279196i −0.150720 + 0.0624302i
\(21\) 1.19651i 0.261099i
\(22\) 1.66006 + 4.00774i 0.353926 + 0.854454i
\(23\) 2.56809 + 1.06374i 0.535483 + 0.221804i 0.634003 0.773331i \(-0.281411\pi\)
−0.0985197 + 0.995135i \(0.531411\pi\)
\(24\) −0.965323 + 2.33050i −0.197046 + 0.475710i
\(25\) 3.51682 3.51682i 0.703363 0.703363i
\(26\) 5.41004 5.41004i 1.06100 1.06100i
\(27\) 0.891359 2.15193i 0.171542 0.414139i
\(28\) 12.4304 + 5.14882i 2.34912 + 0.973036i
\(29\) −0.923519 2.22957i −0.171493 0.414021i 0.814642 0.579964i \(-0.196933\pi\)
−0.986135 + 0.165943i \(0.946933\pi\)
\(30\) 0.165213i 0.0301636i
\(31\) −6.86019 + 2.84159i −1.23213 + 0.510364i −0.901246 0.433309i \(-0.857346\pi\)
−0.330881 + 0.943672i \(0.607346\pi\)
\(32\) 3.90910 + 3.90910i 0.691038 + 0.691038i
\(33\) 0.679337 0.118257
\(34\) −10.4482 1.03256i −1.79185 0.177082i
\(35\) 0.488177 0.0825169
\(36\) −9.00811 9.00811i −1.50135 1.50135i
\(37\) 7.65833 3.17218i 1.25902 0.521504i 0.349412 0.936969i \(-0.386381\pi\)
0.909609 + 0.415465i \(0.136381\pi\)
\(38\) 0.403914i 0.0655236i
\(39\) −0.458518 1.10696i −0.0734216 0.177255i
\(40\) 0.950847 + 0.393854i 0.150342 + 0.0622737i
\(41\) 3.66091 8.83822i 0.571738 1.38030i −0.328336 0.944561i \(-0.606488\pi\)
0.900074 0.435737i \(-0.143512\pi\)
\(42\) 2.15440 2.15440i 0.332431 0.332431i
\(43\) −0.707107 + 0.707107i −0.107833 + 0.107833i
\(44\) 2.92333 7.05755i 0.440709 1.06397i
\(45\) −0.427044 0.176888i −0.0636600 0.0263688i
\(46\) −2.70870 6.53938i −0.399376 0.964179i
\(47\) 9.39127i 1.36986i −0.728610 0.684928i \(-0.759833\pi\)
0.728610 0.684928i \(-0.240167\pi\)
\(48\) 2.63027 1.08949i 0.379647 0.157255i
\(49\) −1.41616 1.41616i −0.202308 0.202308i
\(50\) −12.6646 −1.79104
\(51\) −0.775547 + 1.44979i −0.108598 + 0.203011i
\(52\) −13.4732 −1.86839
\(53\) −8.23127 8.23127i −1.13065 1.13065i −0.990069 0.140584i \(-0.955102\pi\)
−0.140584 0.990069i \(-0.544898\pi\)
\(54\) −5.47968 + 2.26976i −0.745690 + 0.308875i
\(55\) 0.277171i 0.0373737i
\(56\) −7.26328 17.5351i −0.970596 2.34323i
\(57\) −0.0584394 0.0242064i −0.00774048 0.00320621i
\(58\) −2.35165 + 5.67739i −0.308787 + 0.745477i
\(59\) 0.701014 0.701014i 0.0912642 0.0912642i −0.660001 0.751265i \(-0.729444\pi\)
0.751265 + 0.660001i \(0.229444\pi\)
\(60\) 0.205723 0.205723i 0.0265587 0.0265587i
\(61\) 3.38216 8.16525i 0.433041 1.04545i −0.545260 0.838267i \(-0.683569\pi\)
0.978301 0.207187i \(-0.0664308\pi\)
\(62\) 17.4688 + 7.23581i 2.21854 + 0.918949i
\(63\) 3.26208 + 7.87537i 0.410984 + 0.992203i
\(64\) 0.201396i 0.0251745i
\(65\) −0.451642 + 0.187076i −0.0560193 + 0.0232039i
\(66\) −1.22320 1.22320i −0.150565 0.150565i
\(67\) −13.0035 −1.58863 −0.794315 0.607506i \(-0.792170\pi\)
−0.794315 + 0.607506i \(0.792170\pi\)
\(68\) 11.7243 + 14.2958i 1.42178 + 1.73362i
\(69\) −1.10846 −0.133443
\(70\) −0.879000 0.879000i −0.105061 0.105061i
\(71\) −2.99958 + 1.24246i −0.355984 + 0.147453i −0.553506 0.832845i \(-0.686711\pi\)
0.197522 + 0.980298i \(0.436711\pi\)
\(72\) 17.9710i 2.11791i
\(73\) 5.08565 + 12.2778i 0.595230 + 1.43701i 0.878392 + 0.477940i \(0.158616\pi\)
−0.283163 + 0.959072i \(0.591384\pi\)
\(74\) −19.5012 8.07765i −2.26696 0.939008i
\(75\) −0.758983 + 1.83235i −0.0876398 + 0.211581i
\(76\) −0.502954 + 0.502954i −0.0576928 + 0.0576928i
\(77\) −3.61435 + 3.61435i −0.411894 + 0.411894i
\(78\) −1.16757 + 2.81876i −0.132201 + 0.319162i
\(79\) 5.26764 + 2.18193i 0.592656 + 0.245486i 0.658793 0.752324i \(-0.271067\pi\)
−0.0661368 + 0.997811i \(0.521067\pi\)
\(80\) −0.444516 1.07316i −0.0496984 0.119983i
\(81\) 7.59410i 0.843789i
\(82\) −22.5056 + 9.32214i −2.48533 + 1.02946i
\(83\) 1.23898 + 1.23898i 0.135996 + 0.135996i 0.771828 0.635832i \(-0.219343\pi\)
−0.635832 + 0.771828i \(0.719343\pi\)
\(84\) −5.36532 −0.585404
\(85\) 0.591516 + 0.316425i 0.0641590 + 0.0343211i
\(86\) 2.54640 0.274585
\(87\) 0.680485 + 0.680485i 0.0729557 + 0.0729557i
\(88\) −9.95586 + 4.12385i −1.06130 + 0.439604i
\(89\) 13.2445i 1.40391i −0.712221 0.701956i \(-0.752310\pi\)
0.712221 0.701956i \(-0.247690\pi\)
\(90\) 0.450427 + 1.08743i 0.0474791 + 0.114625i
\(91\) 8.32898 + 3.44998i 0.873114 + 0.361656i
\(92\) −4.76996 + 11.5157i −0.497303 + 1.20059i
\(93\) 2.09379 2.09379i 0.217116 0.217116i
\(94\) −16.9097 + 16.9097i −1.74410 + 1.74410i
\(95\) −0.00987625 + 0.0238434i −0.00101328 + 0.00244628i
\(96\) −2.03674 0.843644i −0.207874 0.0861041i
\(97\) 0.993185 + 2.39776i 0.100843 + 0.243456i 0.966246 0.257619i \(-0.0829380\pi\)
−0.865404 + 0.501075i \(0.832938\pi\)
\(98\) 5.09979i 0.515157i
\(99\) 4.47138 1.85210i 0.449390 0.186144i
\(100\) 15.7699 + 15.7699i 1.57699 + 1.57699i
\(101\) −2.47613 −0.246384 −0.123192 0.992383i \(-0.539313\pi\)
−0.123192 + 0.992383i \(0.539313\pi\)
\(102\) 4.00689 1.21402i 0.396741 0.120206i
\(103\) −8.58040 −0.845452 −0.422726 0.906258i \(-0.638927\pi\)
−0.422726 + 0.906258i \(0.638927\pi\)
\(104\) 13.4394 + 13.4394i 1.31784 + 1.31784i
\(105\) −0.179854 + 0.0744980i −0.0175519 + 0.00727026i
\(106\) 29.6421i 2.87909i
\(107\) −6.44549 15.5608i −0.623109 1.50432i −0.848034 0.529941i \(-0.822214\pi\)
0.224926 0.974376i \(-0.427786\pi\)
\(108\) 9.64960 + 3.99699i 0.928533 + 0.384611i
\(109\) 3.74542 9.04225i 0.358746 0.866090i −0.636730 0.771086i \(-0.719714\pi\)
0.995477 0.0950040i \(-0.0302864\pi\)
\(110\) −0.499067 + 0.499067i −0.0475842 + 0.0475842i
\(111\) −2.33739 + 2.33739i −0.221855 + 0.221855i
\(112\) −8.19757 + 19.7907i −0.774598 + 1.87004i
\(113\) 4.86196 + 2.01389i 0.457375 + 0.189451i 0.599462 0.800403i \(-0.295381\pi\)
−0.142087 + 0.989854i \(0.545381\pi\)
\(114\) 0.0616391 + 0.148810i 0.00577303 + 0.0139373i
\(115\) 0.452256i 0.0421731i
\(116\) 9.99775 4.14120i 0.928268 0.384501i
\(117\) −6.03590 6.03590i −0.558019 0.558019i
\(118\) −2.52446 −0.232395
\(119\) −3.58724 11.8397i −0.328842 1.08534i
\(120\) −0.410414 −0.0374655
\(121\) −5.72606 5.72606i −0.520551 0.520551i
\(122\) −20.7920 + 8.61233i −1.88242 + 0.779724i
\(123\) 3.81484i 0.343973i
\(124\) −12.7421 30.7622i −1.14428 2.76252i
\(125\) 1.49918 + 0.620981i 0.134091 + 0.0555422i
\(126\) 8.30657 20.0538i 0.740008 1.78654i
\(127\) 6.33102 6.33102i 0.561787 0.561787i −0.368028 0.929815i \(-0.619967\pi\)
0.929815 + 0.368028i \(0.119967\pi\)
\(128\) 8.18083 8.18083i 0.723090 0.723090i
\(129\) 0.152604 0.368420i 0.0134361 0.0324375i
\(130\) 1.15006 + 0.476371i 0.100867 + 0.0417805i
\(131\) −2.74983 6.63867i −0.240253 0.580023i 0.757054 0.653352i \(-0.226638\pi\)
−0.997308 + 0.0733288i \(0.976638\pi\)
\(132\) 3.04625i 0.265142i
\(133\) 0.439709 0.182133i 0.0381276 0.0157930i
\(134\) 23.4138 + 23.4138i 2.02265 + 2.02265i
\(135\) 0.378968 0.0326164
\(136\) 2.56504 25.9549i 0.219950 2.22561i
\(137\) 13.4149 1.14611 0.573056 0.819516i \(-0.305758\pi\)
0.573056 + 0.819516i \(0.305758\pi\)
\(138\) 1.99588 + 1.99588i 0.169900 + 0.169900i
\(139\) −10.4892 + 4.34475i −0.889679 + 0.368517i −0.780243 0.625477i \(-0.784904\pi\)
−0.109436 + 0.993994i \(0.534904\pi\)
\(140\) 2.18906i 0.185009i
\(141\) 1.43315 + 3.45993i 0.120693 + 0.291378i
\(142\) 7.63812 + 3.16381i 0.640977 + 0.265501i
\(143\) 1.95878 4.72892i 0.163802 0.395452i
\(144\) 14.3420 14.3420i 1.19517 1.19517i
\(145\) 0.277639 0.277639i 0.0230567 0.0230567i
\(146\) 12.9501 31.2643i 1.07176 2.58745i
\(147\) 0.737851 + 0.305628i 0.0608569 + 0.0252078i
\(148\) 14.2246 + 34.3411i 1.16925 + 2.82282i
\(149\) 15.3512i 1.25762i 0.777560 + 0.628808i \(0.216457\pi\)
−0.777560 + 0.628808i \(0.783543\pi\)
\(150\) 4.66589 1.93267i 0.380968 0.157802i
\(151\) 5.03940 + 5.03940i 0.410101 + 0.410101i 0.881774 0.471673i \(-0.156350\pi\)
−0.471673 + 0.881774i \(0.656350\pi\)
\(152\) 1.00339 0.0813854
\(153\) −1.15201 + 11.6569i −0.0931344 + 0.942402i
\(154\) 13.0158 1.04885
\(155\) −0.854271 0.854271i −0.0686167 0.0686167i
\(156\) 4.96378 2.05606i 0.397420 0.164617i
\(157\) 17.9154i 1.42980i −0.699226 0.714901i \(-0.746472\pi\)
0.699226 0.714901i \(-0.253528\pi\)
\(158\) −5.55606 13.4135i −0.442017 1.06712i
\(159\) 4.28869 + 1.77643i 0.340115 + 0.140880i
\(160\) −0.344208 + 0.830992i −0.0272121 + 0.0656957i
\(161\) 5.89749 5.89749i 0.464787 0.464787i
\(162\) −13.6738 + 13.6738i −1.07431 + 1.07431i
\(163\) 0.862176 2.08148i 0.0675308 0.163034i −0.886511 0.462708i \(-0.846878\pi\)
0.954042 + 0.299674i \(0.0968779\pi\)
\(164\) 39.6319 + 16.4161i 3.09473 + 1.28188i
\(165\) 0.0422975 + 0.102115i 0.00329286 + 0.00794966i
\(166\) 4.46176i 0.346300i
\(167\) 10.6600 4.41553i 0.824898 0.341684i 0.0700172 0.997546i \(-0.477695\pi\)
0.754881 + 0.655862i \(0.227695\pi\)
\(168\) 5.35187 + 5.35187i 0.412906 + 0.412906i
\(169\) 3.97228 0.305560
\(170\) −0.495324 1.63482i −0.0379896 0.125385i
\(171\) −0.450641 −0.0344614
\(172\) −3.17078 3.17078i −0.241769 0.241769i
\(173\) −9.51239 + 3.94016i −0.723213 + 0.299565i −0.713760 0.700391i \(-0.753009\pi\)
−0.00945355 + 0.999955i \(0.503009\pi\)
\(174\) 2.45053i 0.185774i
\(175\) −5.71073 13.7869i −0.431691 1.04219i
\(176\) 11.2365 + 4.65431i 0.846983 + 0.350832i
\(177\) −0.151289 + 0.365245i −0.0113716 + 0.0274535i
\(178\) −23.8477 + 23.8477i −1.78746 + 1.78746i
\(179\) 1.71183 1.71183i 0.127948 0.127948i −0.640233 0.768181i \(-0.721162\pi\)
0.768181 + 0.640233i \(0.221162\pi\)
\(180\) 0.793191 1.91493i 0.0591210 0.142731i
\(181\) 16.2600 + 6.73513i 1.20860 + 0.500618i 0.893768 0.448530i \(-0.148052\pi\)
0.314831 + 0.949148i \(0.398052\pi\)
\(182\) −8.78502 21.2089i −0.651189 1.57211i
\(183\) 3.52437i 0.260529i
\(184\) 16.2448 6.72883i 1.19758 0.496056i
\(185\) 0.953659 + 0.953659i 0.0701144 + 0.0701144i
\(186\) −7.54007 −0.552865
\(187\) −6.72219 + 2.03672i −0.491575 + 0.148940i
\(188\) 42.1119 3.07133
\(189\) −4.94181 4.94181i −0.359463 0.359463i
\(190\) 0.0607148 0.0251489i 0.00440471 0.00182449i
\(191\) 12.1474i 0.878954i −0.898254 0.439477i \(-0.855164\pi\)
0.898254 0.439477i \(-0.144836\pi\)
\(192\) −0.0307339 0.0741983i −0.00221803 0.00535480i
\(193\) 10.5663 + 4.37670i 0.760579 + 0.315042i 0.729050 0.684461i \(-0.239962\pi\)
0.0315290 + 0.999503i \(0.489962\pi\)
\(194\) 2.52905 6.10566i 0.181575 0.438361i
\(195\) 0.137845 0.137845i 0.00987129 0.00987129i
\(196\) 6.35026 6.35026i 0.453590 0.453590i
\(197\) −9.04424 + 21.8347i −0.644375 + 1.55566i 0.176344 + 0.984329i \(0.443573\pi\)
−0.820720 + 0.571331i \(0.806427\pi\)
\(198\) −11.3859 4.71620i −0.809162 0.335166i
\(199\) −0.0298147 0.0719790i −0.00211351 0.00510245i 0.922819 0.385233i \(-0.125879\pi\)
−0.924933 + 0.380131i \(0.875879\pi\)
\(200\) 31.4608i 2.22462i
\(201\) 4.79075 1.98439i 0.337913 0.139968i
\(202\) 4.45845 + 4.45845i 0.313696 + 0.313696i
\(203\) −7.24092 −0.508213
\(204\) −6.50108 3.47767i −0.455166 0.243486i
\(205\) 1.55646 0.108708
\(206\) 15.4497 + 15.4497i 1.07643 + 1.07643i
\(207\) −7.29588 + 3.02205i −0.507099 + 0.210047i
\(208\) 21.4510i 1.48736i
\(209\) −0.103409 0.249652i −0.00715298 0.0172688i
\(210\) 0.457980 + 0.189702i 0.0316036 + 0.0130907i
\(211\) 4.22348 10.1964i 0.290756 0.701948i −0.709239 0.704968i \(-0.750961\pi\)
0.999995 + 0.00301995i \(0.000961281\pi\)
\(212\) 36.9103 36.9103i 2.53501 2.53501i
\(213\) 0.915497 0.915497i 0.0627288 0.0627288i
\(214\) −16.4128 + 39.6240i −1.12196 + 2.70864i
\(215\) −0.150316 0.0622629i −0.0102515 0.00424629i
\(216\) −5.63843 13.6124i −0.383647 0.926205i
\(217\) 22.2797i 1.51244i
\(218\) −23.0252 + 9.53735i −1.55946 + 0.645951i
\(219\) −3.74730 3.74730i −0.253219 0.253219i
\(220\) 1.24288 0.0837948
\(221\) 7.85591 + 9.57893i 0.528445 + 0.644349i
\(222\) 8.41730 0.564932
\(223\) 11.7303 + 11.7303i 0.785520 + 0.785520i 0.980756 0.195236i \(-0.0625472\pi\)
−0.195236 + 0.980756i \(0.562547\pi\)
\(224\) 15.3248 6.34774i 1.02393 0.424126i
\(225\) 14.1297i 0.941979i
\(226\) −5.12817 12.3805i −0.341121 0.823538i
\(227\) 5.42937 + 2.24892i 0.360360 + 0.149266i 0.555515 0.831506i \(-0.312521\pi\)
−0.195155 + 0.980772i \(0.562521\pi\)
\(228\) 0.108545 0.262051i 0.00718858 0.0173548i
\(229\) 6.06871 6.06871i 0.401032 0.401032i −0.477565 0.878596i \(-0.658480\pi\)
0.878596 + 0.477565i \(0.158480\pi\)
\(230\) 0.814321 0.814321i 0.0536948 0.0536948i
\(231\) 0.780032 1.88316i 0.0513224 0.123903i
\(232\) −14.1035 5.84186i −0.925941 0.383537i
\(233\) 1.30516 + 3.15095i 0.0855042 + 0.206425i 0.960848 0.277075i \(-0.0893651\pi\)
−0.875344 + 0.483501i \(0.839365\pi\)
\(234\) 21.7362i 1.42094i
\(235\) 1.41166 0.584727i 0.0920863 0.0381434i
\(236\) 3.14345 + 3.14345i 0.204621 + 0.204621i
\(237\) −2.27368 −0.147691
\(238\) −14.8592 + 27.7774i −0.963178 + 1.80054i
\(239\) 24.2461 1.56835 0.784176 0.620539i \(-0.213086\pi\)
0.784176 + 0.620539i \(0.213086\pi\)
\(240\) 0.327537 + 0.327537i 0.0211424 + 0.0211424i
\(241\) −10.2243 + 4.23506i −0.658608 + 0.272804i −0.686853 0.726797i \(-0.741008\pi\)
0.0282448 + 0.999601i \(0.491008\pi\)
\(242\) 20.6204i 1.32553i
\(243\) 3.83297 + 9.25361i 0.245885 + 0.593619i
\(244\) 36.6143 + 15.1661i 2.34399 + 0.970912i
\(245\) 0.124697 0.301045i 0.00796658 0.0192330i
\(246\) 6.86892 6.86892i 0.437946 0.437946i
\(247\) −0.337005 + 0.337005i −0.0214431 + 0.0214431i
\(248\) −17.9749 + 43.3952i −1.14141 + 2.75560i
\(249\) −0.645539 0.267391i −0.0409094 0.0169452i
\(250\) −1.58127 3.81751i −0.100008 0.241441i
\(251\) 0.424000i 0.0267626i −0.999910 0.0133813i \(-0.995740\pi\)
0.999910 0.0133813i \(-0.00425953\pi\)
\(252\) −35.3144 + 14.6277i −2.22460 + 0.921458i
\(253\) −3.34840 3.34840i −0.210512 0.210512i
\(254\) −22.7990 −1.43054
\(255\) −0.266214 0.0263090i −0.0166710 0.00164754i
\(256\) −29.0577 −1.81610
\(257\) 12.9065 + 12.9065i 0.805082 + 0.805082i 0.983885 0.178803i \(-0.0572224\pi\)
−0.178803 + 0.983885i \(0.557222\pi\)
\(258\) −0.938144 + 0.388592i −0.0584063 + 0.0241927i
\(259\) 24.8717i 1.54545i
\(260\) −0.838878 2.02523i −0.0520250 0.125600i
\(261\) 6.33417 + 2.62370i 0.392075 + 0.162403i
\(262\) −7.00216 + 16.9047i −0.432595 + 1.04438i
\(263\) −12.4269 + 12.4269i −0.766275 + 0.766275i −0.977449 0.211173i \(-0.932272\pi\)
0.211173 + 0.977449i \(0.432272\pi\)
\(264\) 3.03862 3.03862i 0.187014 0.187014i
\(265\) 0.724789 1.74979i 0.0445234 0.107489i
\(266\) −1.11968 0.463785i −0.0686517 0.0284365i
\(267\) 2.02117 + 4.87953i 0.123693 + 0.298622i
\(268\) 58.3097i 3.56183i
\(269\) 4.57212 1.89383i 0.278767 0.115469i −0.238920 0.971039i \(-0.576793\pi\)
0.517687 + 0.855570i \(0.326793\pi\)
\(270\) −0.682361 0.682361i −0.0415272 0.0415272i
\(271\) −13.9202 −0.845590 −0.422795 0.906225i \(-0.638951\pi\)
−0.422795 + 0.906225i \(0.638951\pi\)
\(272\) −22.7607 + 18.6666i −1.38007 + 1.13183i
\(273\) −3.59504 −0.217582
\(274\) −24.1545 24.1545i −1.45923 1.45923i
\(275\) −7.82777 + 3.24237i −0.472032 + 0.195522i
\(276\) 4.97053i 0.299191i
\(277\) 4.02322 + 9.71292i 0.241732 + 0.583593i 0.997455 0.0712987i \(-0.0227144\pi\)
−0.755723 + 0.654891i \(0.772714\pi\)
\(278\) 26.7096 + 11.0635i 1.60194 + 0.663543i
\(279\) 8.07288 19.4897i 0.483311 1.16682i
\(280\) 2.18357 2.18357i 0.130493 0.130493i
\(281\) 0.107633 0.107633i 0.00642086 0.00642086i −0.703889 0.710310i \(-0.748555\pi\)
0.710310 + 0.703889i \(0.248555\pi\)
\(282\) 3.64937 8.81036i 0.217317 0.524649i
\(283\) 1.66047 + 0.687791i 0.0987050 + 0.0408849i 0.431490 0.902118i \(-0.357988\pi\)
−0.332785 + 0.943003i \(0.607988\pi\)
\(284\) −5.57141 13.4506i −0.330602 0.798144i
\(285\) 0.0102915i 0.000609617i
\(286\) −12.0417 + 4.98785i −0.712042 + 0.294938i
\(287\) −20.2965 20.2965i −1.19807 1.19807i
\(288\) −15.7058 −0.925473
\(289\) 3.32761 16.6711i 0.195742 0.980656i
\(290\) −0.999822 −0.0587116
\(291\) −0.731818 0.731818i −0.0428999 0.0428999i
\(292\) −55.0557 + 22.8048i −3.22189 + 1.33455i
\(293\) 23.4195i 1.36818i 0.729397 + 0.684091i \(0.239801\pi\)
−0.729397 + 0.684091i \(0.760199\pi\)
\(294\) −0.778251 1.87886i −0.0453885 0.109578i
\(295\) 0.149021 + 0.0617264i 0.00867632 + 0.00359385i
\(296\) 20.0661 48.4439i 1.16632 2.81575i
\(297\) −2.80580 + 2.80580i −0.162809 + 0.162809i
\(298\) 27.6410 27.6410i 1.60120 1.60120i
\(299\) −3.19612 + 7.71612i −0.184836 + 0.446235i
\(300\) −8.21652 3.40340i −0.474381 0.196495i
\(301\) 1.14823 + 2.77206i 0.0661826 + 0.159779i
\(302\) 18.1477i 1.04428i
\(303\) 0.912253 0.377868i 0.0524076 0.0217079i
\(304\) −0.800766 0.800766i −0.0459271 0.0459271i
\(305\) 1.43795 0.0823368
\(306\) 23.0634 18.9148i 1.31845 1.08129i
\(307\) 7.62887 0.435403 0.217701 0.976015i \(-0.430144\pi\)
0.217701 + 0.976015i \(0.430144\pi\)
\(308\) −16.2073 16.2073i −0.923497 0.923497i
\(309\) 3.16119 1.30941i 0.179834 0.0744896i
\(310\) 3.07636i 0.174726i
\(311\) −0.0647608 0.156346i −0.00367225 0.00886559i 0.922033 0.387112i \(-0.126527\pi\)
−0.925705 + 0.378246i \(0.876527\pi\)
\(312\) −7.00225 2.90042i −0.396424 0.164204i
\(313\) −3.21174 + 7.75382i −0.181538 + 0.438272i −0.988284 0.152627i \(-0.951227\pi\)
0.806746 + 0.590899i \(0.201227\pi\)
\(314\) −32.2580 + 32.2580i −1.82042 + 1.82042i
\(315\) −0.980686 + 0.980686i −0.0552554 + 0.0552554i
\(316\) −9.78411 + 23.6209i −0.550399 + 1.32878i
\(317\) −1.29237 0.535318i −0.0725869 0.0300665i 0.346095 0.938200i \(-0.387508\pi\)
−0.418681 + 0.908133i \(0.637508\pi\)
\(318\) −4.52351 10.9207i −0.253666 0.612404i
\(319\) 4.11116i 0.230181i
\(320\) −0.0302730 + 0.0125395i −0.00169231 + 0.000700979i
\(321\) 4.74929 + 4.74929i 0.265079 + 0.265079i
\(322\) −21.2378 −1.18353
\(323\) 0.650843 + 0.0643207i 0.0362139 + 0.00357890i
\(324\) 34.0531 1.89184
\(325\) 10.5667 + 10.5667i 0.586134 + 0.586134i
\(326\) −5.30027 + 2.19545i −0.293555 + 0.121594i
\(327\) 3.90291i 0.215831i
\(328\) −23.1576 55.9075i −1.27867 3.08698i
\(329\) −26.0332 10.7833i −1.43525 0.594502i
\(330\) 0.107706 0.260026i 0.00592904 0.0143140i
\(331\) −22.6556 + 22.6556i −1.24526 + 1.24526i −0.287476 + 0.957788i \(0.592816\pi\)
−0.957788 + 0.287476i \(0.907184\pi\)
\(332\) −5.55578 + 5.55578i −0.304913 + 0.304913i
\(333\) −9.01210 + 21.7571i −0.493860 + 1.19228i
\(334\) −27.1447 11.2437i −1.48529 0.615228i
\(335\) −0.809636 1.95463i −0.0442351 0.106793i
\(336\) 8.54226i 0.466019i
\(337\) −8.18386 + 3.38986i −0.445803 + 0.184658i −0.594280 0.804258i \(-0.702563\pi\)
0.148477 + 0.988916i \(0.452563\pi\)
\(338\) −7.15240 7.15240i −0.389039 0.389039i
\(339\) −2.09857 −0.113979
\(340\) −1.41890 + 2.65245i −0.0769505 + 0.143849i
\(341\) 12.6497 0.685018
\(342\) 0.811414 + 0.811414i 0.0438762 + 0.0438762i
\(343\) 13.8527 5.73797i 0.747975 0.309821i
\(344\) 6.32565i 0.341056i
\(345\) −0.0690162 0.166620i −0.00371571 0.00897052i
\(346\) 24.2223 + 10.0332i 1.30220 + 0.539389i
\(347\) 6.16474 14.8830i 0.330941 0.798961i −0.667577 0.744540i \(-0.732669\pi\)
0.998518 0.0544209i \(-0.0173313\pi\)
\(348\) −3.05140 + 3.05140i −0.163572 + 0.163572i
\(349\) −5.14318 + 5.14318i −0.275308 + 0.275308i −0.831233 0.555925i \(-0.812364\pi\)
0.555925 + 0.831233i \(0.312364\pi\)
\(350\) −14.5418 + 35.1070i −0.777292 + 1.87655i
\(351\) 6.46573 + 2.67819i 0.345115 + 0.142951i
\(352\) −3.60404 8.70092i −0.192096 0.463761i
\(353\) 0.838691i 0.0446390i 0.999751 + 0.0223195i \(0.00710511\pi\)
−0.999751 + 0.0223195i \(0.992895\pi\)
\(354\) 0.930060 0.385243i 0.0494321 0.0204755i
\(355\) −0.373525 0.373525i −0.0198246 0.0198246i
\(356\) 59.3903 3.14768
\(357\) 3.12840 + 3.81455i 0.165572 + 0.201887i
\(358\) −6.16455 −0.325807
\(359\) 19.0296 + 19.0296i 1.00434 + 1.00434i 0.999991 + 0.00435358i \(0.00138579\pi\)
0.00435358 + 0.999991i \(0.498614\pi\)
\(360\) −2.70133 + 1.11893i −0.142373 + 0.0589728i
\(361\) 18.9748i 0.998676i
\(362\) −17.1503 41.4046i −0.901401 2.17618i
\(363\) 2.98342 + 1.23577i 0.156589 + 0.0648612i
\(364\) −15.4702 + 37.3484i −0.810860 + 1.95759i
\(365\) −1.52891 + 1.52891i −0.0800267 + 0.0800267i
\(366\) 6.34590 6.34590i 0.331706 0.331706i
\(367\) 12.2134 29.4858i 0.637536 1.53915i −0.192416 0.981314i \(-0.561632\pi\)
0.829952 0.557835i \(-0.188368\pi\)
\(368\) −18.3344 7.59438i −0.955749 0.395884i
\(369\) 10.4006 + 25.1092i 0.541432 + 1.30713i
\(370\) 3.43427i 0.178539i
\(371\) −32.2690 + 13.3662i −1.67532 + 0.693941i
\(372\) 9.38889 + 9.38889i 0.486791 + 0.486791i
\(373\) −8.56426 −0.443441 −0.221720 0.975110i \(-0.571167\pi\)
−0.221720 + 0.975110i \(0.571167\pi\)
\(374\) 15.7711 + 8.43656i 0.815504 + 0.436244i
\(375\) −0.647092 −0.0334157
\(376\) −42.0063 42.0063i −2.16631 2.16631i
\(377\) 6.69901 2.77482i 0.345017 0.142911i
\(378\) 17.7962i 0.915338i
\(379\) 6.14793 + 14.8424i 0.315798 + 0.762404i 0.999468 + 0.0326126i \(0.0103828\pi\)
−0.683670 + 0.729791i \(0.739617\pi\)
\(380\) −0.106917 0.0442866i −0.00548475 0.00227186i
\(381\) −1.36633 + 3.29861i −0.0699993 + 0.168993i
\(382\) −21.8723 + 21.8723i −1.11908 + 1.11908i
\(383\) 6.86923 6.86923i 0.351001 0.351001i −0.509481 0.860482i \(-0.670162\pi\)
0.860482 + 0.509481i \(0.170162\pi\)
\(384\) −1.76555 + 4.26241i −0.0900978 + 0.217515i
\(385\) −0.768335 0.318255i −0.0391580 0.0162198i
\(386\) −11.1448 26.9060i −0.567257 1.36948i
\(387\) 2.84098i 0.144415i
\(388\) −10.7519 + 4.45360i −0.545847 + 0.226097i
\(389\) 5.00466 + 5.00466i 0.253746 + 0.253746i 0.822505 0.568758i \(-0.192576\pi\)
−0.568758 + 0.822505i \(0.692576\pi\)
\(390\) −0.496401 −0.0251363
\(391\) 10.9685 3.32328i 0.554701 0.168066i
\(392\) −12.6687 −0.639865
\(393\) 2.02618 + 2.02618i 0.102207 + 0.102207i
\(394\) 55.6000 23.0303i 2.80109 1.16025i
\(395\) 0.927664i 0.0466758i
\(396\) 8.30513 + 20.0503i 0.417348 + 1.00757i
\(397\) 6.00058 + 2.48552i 0.301160 + 0.124745i 0.528147 0.849153i \(-0.322887\pi\)
−0.226986 + 0.973898i \(0.572887\pi\)
\(398\) −0.0759201 + 0.183287i −0.00380553 + 0.00918736i
\(399\) −0.134203 + 0.134203i −0.00671856 + 0.00671856i
\(400\) −25.1077 + 25.1077i −1.25539 + 1.25539i
\(401\) −6.25536 + 15.1018i −0.312378 + 0.754147i 0.687238 + 0.726432i \(0.258823\pi\)
−0.999616 + 0.0277147i \(0.991177\pi\)
\(402\) −12.1992 5.05306i −0.608439 0.252024i
\(403\) −8.53787 20.6122i −0.425302 1.02677i
\(404\) 11.1033i 0.552411i
\(405\) 1.14151 0.472830i 0.0567223 0.0234951i
\(406\) 13.0378 + 13.0378i 0.647057 + 0.647057i
\(407\) −14.1214 −0.699970
\(408\) 3.01582 + 9.95373i 0.149306 + 0.492783i
\(409\) −21.7730 −1.07661 −0.538303 0.842751i \(-0.680934\pi\)
−0.538303 + 0.842751i \(0.680934\pi\)
\(410\) −2.80253 2.80253i −0.138407 0.138407i
\(411\) −4.94231 + 2.04717i −0.243786 + 0.100980i
\(412\) 38.4758i 1.89557i
\(413\) −1.13833 2.74817i −0.0560136 0.135229i
\(414\) 18.5782 + 7.69536i 0.913070 + 0.378206i
\(415\) −0.109096 + 0.263381i −0.00535531 + 0.0129289i
\(416\) −11.7454 + 11.7454i −0.575863 + 0.575863i
\(417\) 3.20138 3.20138i 0.156772 0.156772i
\(418\) −0.263322 + 0.635715i −0.0128795 + 0.0310938i
\(419\) −22.7727 9.43276i −1.11252 0.460820i −0.250715 0.968061i \(-0.580666\pi\)
−0.861804 + 0.507241i \(0.830666\pi\)
\(420\) −0.334060 0.806493i −0.0163005 0.0393528i
\(421\) 21.7592i 1.06048i −0.847847 0.530240i \(-0.822102\pi\)
0.847847 0.530240i \(-0.177898\pi\)
\(422\) −25.9641 + 10.7547i −1.26391 + 0.523529i
\(423\) 18.8659 + 18.8659i 0.917291 + 0.917291i
\(424\) −73.6356 −3.57606
\(425\) 2.01675 20.4070i 0.0978269 0.989883i
\(426\) −3.29685 −0.159733
\(427\) −18.7511 18.7511i −0.907429 0.907429i
\(428\) 69.7770 28.9026i 3.37280 1.39706i
\(429\) 2.04115i 0.0985475i
\(430\) 0.158546 + 0.382765i 0.00764578 + 0.0184585i
\(431\) −32.2380 13.3534i −1.55285 0.643211i −0.569021 0.822323i \(-0.692678\pi\)
−0.983829 + 0.179112i \(0.942678\pi\)
\(432\) −6.36372 + 15.3634i −0.306174 + 0.739170i
\(433\) 21.2287 21.2287i 1.02019 1.02019i 0.0203934 0.999792i \(-0.493508\pi\)
0.999792 0.0203934i \(-0.00649188\pi\)
\(434\) 40.1162 40.1162i 1.92564 1.92564i
\(435\) −0.0599188 + 0.144657i −0.00287289 + 0.00693576i
\(436\) 40.5469 + 16.7951i 1.94184 + 0.804337i
\(437\) 0.168732 + 0.407354i 0.00807153 + 0.0194864i
\(438\) 13.4946i 0.644798i
\(439\) 2.04309 0.846277i 0.0975116 0.0403906i −0.333394 0.942787i \(-0.608194\pi\)
0.430906 + 0.902397i \(0.358194\pi\)
\(440\) −1.23976 1.23976i −0.0591033 0.0591033i
\(441\) 5.68976 0.270941
\(442\) 3.10244 31.3928i 0.147568 1.49320i
\(443\) −11.1197 −0.528313 −0.264156 0.964480i \(-0.585094\pi\)
−0.264156 + 0.964480i \(0.585094\pi\)
\(444\) −10.4812 10.4812i −0.497417 0.497417i
\(445\) 1.99086 0.824639i 0.0943756 0.0390917i
\(446\) 42.2427i 2.00025i
\(447\) −2.34266 5.65567i −0.110804 0.267504i
\(448\) 0.558282 + 0.231248i 0.0263764 + 0.0109254i
\(449\) −10.2861 + 24.8328i −0.485431 + 1.17193i 0.471564 + 0.881832i \(0.343690\pi\)
−0.956995 + 0.290103i \(0.906310\pi\)
\(450\) 25.4416 25.4416i 1.19933 1.19933i
\(451\) −11.5237 + 11.5237i −0.542630 + 0.542630i
\(452\) −9.03060 + 21.8018i −0.424763 + 1.02547i
\(453\) −2.62565 1.08758i −0.123364 0.0510989i
\(454\) −5.72664 13.8253i −0.268765 0.648855i
\(455\) 1.46678i 0.0687639i
\(456\) −0.369667 + 0.153121i −0.0173113 + 0.00717056i
\(457\) 12.9306 + 12.9306i 0.604868 + 0.604868i 0.941600 0.336732i \(-0.109322\pi\)
−0.336732 + 0.941600i \(0.609322\pi\)
\(458\) −21.8544 −1.02119
\(459\) −2.78475 9.19107i −0.129981 0.429003i
\(460\) −2.02798 −0.0945553
\(461\) 20.6575 + 20.6575i 0.962116 + 0.962116i 0.999308 0.0371917i \(-0.0118412\pi\)
−0.0371917 + 0.999308i \(0.511841\pi\)
\(462\) −4.79529 + 1.98627i −0.223097 + 0.0924099i
\(463\) 10.9294i 0.507931i −0.967213 0.253965i \(-0.918265\pi\)
0.967213 0.253965i \(-0.0817349\pi\)
\(464\) 6.59332 + 15.9177i 0.306087 + 0.738959i
\(465\) 0.445096 + 0.184365i 0.0206408 + 0.00854971i
\(466\) 3.32347 8.02357i 0.153957 0.371685i
\(467\) −27.0662 + 27.0662i −1.25247 + 1.25247i −0.297867 + 0.954607i \(0.596275\pi\)
−0.954607 + 0.297867i \(0.903725\pi\)
\(468\) 27.0659 27.0659i 1.25112 1.25112i
\(469\) −14.9310 + 36.0465i −0.689447 + 1.66447i
\(470\) −3.59464 1.48895i −0.165809 0.0686801i
\(471\) 2.73396 + 6.60037i 0.125974 + 0.304129i
\(472\) 6.27115i 0.288653i
\(473\) 1.57389 0.651925i 0.0723673 0.0299755i
\(474\) 4.09393 + 4.09393i 0.188040 + 0.188040i
\(475\) 0.788910 0.0361977
\(476\) 53.0910 16.0857i 2.43342 0.737289i
\(477\) 33.0712 1.51423
\(478\) −43.6570 43.6570i −1.99683 1.99683i
\(479\) −22.1856 + 9.18958i −1.01369 + 0.419883i −0.826798 0.562499i \(-0.809840\pi\)
−0.186888 + 0.982381i \(0.559840\pi\)
\(480\) 0.358682i 0.0163715i
\(481\) 9.53119 + 23.0103i 0.434585 + 1.04918i
\(482\) 26.0353 + 10.7842i 1.18587 + 0.491205i
\(483\) −1.27277 + 3.07273i −0.0579129 + 0.139814i
\(484\) 25.6766 25.6766i 1.16712 1.16712i
\(485\) −0.298583 + 0.298583i −0.0135580 + 0.0135580i
\(486\) 9.76028 23.5634i 0.442735 1.06886i
\(487\) −8.56842 3.54915i −0.388272 0.160828i 0.180003 0.983666i \(-0.442389\pi\)
−0.568275 + 0.822838i \(0.692389\pi\)
\(488\) −21.3944 51.6506i −0.968477 2.33811i
\(489\) 0.898429i 0.0406284i
\(490\) −0.766580 + 0.317528i −0.0346306 + 0.0143444i
\(491\) −24.1775 24.1775i −1.09112 1.09112i −0.995410 0.0957066i \(-0.969489\pi\)
−0.0957066 0.995410i \(-0.530511\pi\)
\(492\) −17.1064 −0.771214
\(493\) −8.77371 4.69339i −0.395148 0.211380i
\(494\) 1.21361 0.0546028
\(495\) 0.556802 + 0.556802i 0.0250264 + 0.0250264i
\(496\) 48.9772 20.2870i 2.19914 0.910915i
\(497\) 9.74164i 0.436972i
\(498\) 0.680884 + 1.64380i 0.0305112 + 0.0736605i
\(499\) 33.0118 + 13.6739i 1.47781 + 0.612129i 0.968625 0.248528i \(-0.0799467\pi\)
0.509186 + 0.860657i \(0.329947\pi\)
\(500\) −2.78457 + 6.72256i −0.124530 + 0.300642i
\(501\) −3.25354 + 3.25354i −0.145357 + 0.145357i
\(502\) −0.763444 + 0.763444i −0.0340742 + 0.0340742i
\(503\) −11.3444 + 27.3877i −0.505820 + 1.22116i 0.440450 + 0.897777i \(0.354819\pi\)
−0.946269 + 0.323379i \(0.895181\pi\)
\(504\) 49.8169 + 20.6348i 2.21902 + 0.919148i
\(505\) −0.154171 0.372201i −0.00686051 0.0165627i
\(506\) 12.0581i 0.536048i
\(507\) −1.46347 + 0.606188i −0.0649949 + 0.0269218i
\(508\) 28.3893 + 28.3893i 1.25957 + 1.25957i
\(509\) −18.0632 −0.800638 −0.400319 0.916376i \(-0.631101\pi\)
−0.400319 + 0.916376i \(0.631101\pi\)
\(510\) 0.431968 + 0.526711i 0.0191278 + 0.0233231i
\(511\) 39.8744 1.76394
\(512\) 35.9589 + 35.9589i 1.58917 + 1.58917i
\(513\) 0.341343 0.141389i 0.0150707 0.00624247i
\(514\) 46.4781i 2.05006i
\(515\) −0.534241 1.28977i −0.0235415 0.0568341i
\(516\) 1.65205 + 0.684302i 0.0727275 + 0.0301247i
\(517\) −6.12240 + 14.7808i −0.269263 + 0.650058i
\(518\) −44.7835 + 44.7835i −1.96767 + 1.96767i
\(519\) 2.90327 2.90327i 0.127439 0.127439i
\(520\) −1.18338 + 2.85693i −0.0518946 + 0.125285i
\(521\) −37.3721 15.4800i −1.63730 0.678193i −0.641282 0.767306i \(-0.721597\pi\)
−0.996022 + 0.0891123i \(0.971597\pi\)
\(522\) −6.68099 16.1293i −0.292419 0.705962i
\(523\) 25.9565i 1.13500i −0.823374 0.567498i \(-0.807911\pi\)
0.823374 0.567498i \(-0.192089\pi\)
\(524\) 29.7688 12.3306i 1.30046 0.538667i
\(525\) 4.20789 + 4.20789i 0.183647 + 0.183647i
\(526\) 44.7512 1.95124
\(527\) −14.4411 + 26.9959i −0.629066 + 1.17596i
\(528\) −4.85002 −0.211070
\(529\) −10.7999 10.7999i −0.469562 0.469562i
\(530\) −4.45568 + 1.84560i −0.193542 + 0.0801678i
\(531\) 2.81650i 0.122226i
\(532\) 0.816715 + 1.97172i 0.0354091 + 0.0854851i
\(533\) 26.5554 + 10.9996i 1.15024 + 0.476447i
\(534\) 5.14670 12.4252i 0.222719 0.537692i
\(535\) 1.93772 1.93772i 0.0837749 0.0837749i
\(536\) −58.1635 + 58.1635i −2.51228 + 2.51228i
\(537\) −0.369438 + 0.891903i −0.0159424 + 0.0384885i
\(538\) −11.6424 4.82246i −0.501941 0.207911i
\(539\) 1.30564 + 3.15209i 0.0562379 + 0.135770i
\(540\) 1.69935i 0.0731285i
\(541\) 35.0983 14.5382i 1.50900 0.625046i 0.533645 0.845709i \(-0.320822\pi\)
0.975350 + 0.220662i \(0.0708219\pi\)
\(542\) 25.0643 + 25.0643i 1.07660 + 1.07660i
\(543\) −7.01833 −0.301185
\(544\) 22.6833 + 2.24171i 0.972538 + 0.0961127i
\(545\) 1.59240 0.0682107
\(546\) 6.47315 + 6.47315i 0.277025 + 0.277025i
\(547\) −29.3635 + 12.1628i −1.25549 + 0.520043i −0.908524 0.417833i \(-0.862790\pi\)
−0.346971 + 0.937876i \(0.612790\pi\)
\(548\) 60.1545i 2.56967i
\(549\) 9.60864 + 23.1973i 0.410087 + 0.990037i
\(550\) 19.9326 + 8.25636i 0.849930 + 0.352053i
\(551\) 0.146490 0.353659i 0.00624069 0.0150664i
\(552\) −4.95807 + 4.95807i −0.211029 + 0.211029i
\(553\) 12.0969 12.0969i 0.514412 0.514412i
\(554\) 10.2447 24.7330i 0.435257 1.05080i
\(555\) −0.496880 0.205814i −0.0210914 0.00873633i
\(556\) −19.4825 47.0350i −0.826244 1.99473i
\(557\) 0.745532i 0.0315892i −0.999875 0.0157946i \(-0.994972\pi\)
0.999875 0.0157946i \(-0.00502778\pi\)
\(558\) −49.6285 + 20.5568i −2.10094 + 0.870238i
\(559\) −2.12458 2.12458i −0.0898603 0.0898603i
\(560\) −3.48526 −0.147279
\(561\) 2.16578 1.77620i 0.0914391 0.0749914i
\(562\) −0.387604 −0.0163501
\(563\) −13.0471 13.0471i −0.549870 0.549870i 0.376533 0.926403i \(-0.377116\pi\)
−0.926403 + 0.376533i \(0.877116\pi\)
\(564\) −15.5149 + 6.42646i −0.653293 + 0.270603i
\(565\) 0.856221i 0.0360215i
\(566\) −1.75139 4.22823i −0.0736165 0.177726i
\(567\) −21.0513 8.71974i −0.884072 0.366194i
\(568\) −7.85940 + 18.9743i −0.329773 + 0.796143i
\(569\) −4.07468 + 4.07468i −0.170819 + 0.170819i −0.787339 0.616520i \(-0.788542\pi\)
0.616520 + 0.787339i \(0.288542\pi\)
\(570\) −0.0185307 + 0.0185307i −0.000776165 + 0.000776165i
\(571\) 1.34284 3.24191i 0.0561962 0.135670i −0.893288 0.449485i \(-0.851607\pi\)
0.949484 + 0.313816i \(0.101607\pi\)
\(572\) 21.2052 + 8.78349i 0.886635 + 0.367256i
\(573\) 1.85374 + 4.47533i 0.0774413 + 0.186960i
\(574\) 73.0909i 3.05076i
\(575\) 12.7725 5.29052i 0.532648 0.220630i
\(576\) −0.404580 0.404580i −0.0168575 0.0168575i
\(577\) 37.8915 1.57744 0.788721 0.614751i \(-0.210743\pi\)
0.788721 + 0.614751i \(0.210743\pi\)
\(578\) −36.0093 + 24.0261i −1.49779 + 0.999353i
\(579\) −4.56074 −0.189538
\(580\) 1.24498 + 1.24498i 0.0516949 + 0.0516949i
\(581\) 4.85716 2.01190i 0.201509 0.0834677i
\(582\) 2.63539i 0.109240i
\(583\) 7.58891 + 18.3213i 0.314301 + 0.758789i
\(584\) 77.6653 + 32.1700i 3.21381 + 1.33121i
\(585\) 0.531479 1.28310i 0.0219740 0.0530498i
\(586\) 42.1686 42.1686i 1.74197 1.74197i
\(587\) 3.69726 3.69726i 0.152602 0.152602i −0.626677 0.779279i \(-0.715585\pi\)
0.779279 + 0.626677i \(0.215585\pi\)
\(588\) −1.37048 + 3.30864i −0.0565178 + 0.136446i
\(589\) −1.08818 0.450737i −0.0448375 0.0185723i
\(590\) −0.157180 0.379466i −0.00647100 0.0156224i
\(591\) 9.42453i 0.387674i
\(592\) −54.6754 + 22.6473i −2.24714 + 0.930798i
\(593\) 0.436422 + 0.436422i 0.0179217 + 0.0179217i 0.716011 0.698089i \(-0.245966\pi\)
−0.698089 + 0.716011i \(0.745966\pi\)
\(594\) 10.1041 0.414576
\(595\) 1.55634 1.27639i 0.0638038 0.0523270i
\(596\) −68.8370 −2.81967
\(597\) 0.0219686 + 0.0219686i 0.000899116 + 0.000899116i
\(598\) 19.6483 8.13860i 0.803480 0.332812i
\(599\) 37.8178i 1.54519i −0.634898 0.772596i \(-0.718958\pi\)
0.634898 0.772596i \(-0.281042\pi\)
\(600\) 4.80106 + 11.5908i 0.196003 + 0.473192i
\(601\) −24.4020 10.1076i −0.995377 0.412299i −0.175277 0.984519i \(-0.556082\pi\)
−0.820100 + 0.572221i \(0.806082\pi\)
\(602\) 2.92384 7.05878i 0.119167 0.287694i
\(603\) 26.1224 26.1224i 1.06379 1.06379i
\(604\) −22.5975 + 22.5975i −0.919477 + 0.919477i
\(605\) 0.504197 1.21724i 0.0204985 0.0494878i
\(606\) −2.32296 0.962203i −0.0943639 0.0390868i
\(607\) 16.3866 + 39.5607i 0.665111 + 1.60572i 0.789687 + 0.613510i \(0.210243\pi\)
−0.124576 + 0.992210i \(0.539757\pi\)
\(608\) 0.876909i 0.0355634i
\(609\) 2.66770 1.10500i 0.108101 0.0447767i
\(610\) −2.58914 2.58914i −0.104831 0.104831i
\(611\) 28.2171 1.14154
\(612\) −52.2712 5.16579i −2.11294 0.208815i
\(613\) −22.0812 −0.891851 −0.445926 0.895070i \(-0.647125\pi\)
−0.445926 + 0.895070i \(0.647125\pi\)
\(614\) −13.7364 13.7364i −0.554355 0.554355i
\(615\) −0.573432 + 0.237523i −0.0231230 + 0.00957786i
\(616\) 32.3334i 1.30275i
\(617\) 5.81495 + 14.0385i 0.234101 + 0.565170i 0.996652 0.0817578i \(-0.0260534\pi\)
−0.762551 + 0.646928i \(0.776053\pi\)
\(618\) −8.04965 3.33428i −0.323804 0.134124i
\(619\) −14.0465 + 33.9113i −0.564577 + 1.36301i 0.341493 + 0.939884i \(0.389067\pi\)
−0.906071 + 0.423126i \(0.860933\pi\)
\(620\) 3.83068 3.83068i 0.153844 0.153844i
\(621\) 4.57818 4.57818i 0.183716 0.183716i
\(622\) −0.164907 + 0.398120i −0.00661216 + 0.0159632i
\(623\) −36.7145 15.2076i −1.47094 0.609281i
\(624\) 3.27351 + 7.90296i 0.131045 + 0.316372i
\(625\) 24.6036i 0.984145i
\(626\) 19.7443 8.17837i 0.789142 0.326873i
\(627\) 0.0761961 + 0.0761961i 0.00304298 + 0.00304298i
\(628\) 80.3352 3.20572
\(629\) 16.1213 30.1367i 0.642797 1.20163i
\(630\) 3.53160 0.140702
\(631\) 8.59921 + 8.59921i 0.342329 + 0.342329i 0.857242 0.514913i \(-0.172176\pi\)
−0.514913 + 0.857242i \(0.672176\pi\)
\(632\) 33.3213 13.8021i 1.32545 0.549019i
\(633\) 4.40107i 0.174927i
\(634\) 1.36313 + 3.29090i 0.0541370 + 0.130698i
\(635\) 1.34584 + 0.557466i 0.0534081 + 0.0221223i
\(636\) −7.96581 + 19.2312i −0.315865 + 0.762565i
\(637\) 4.25500 4.25500i 0.168589 0.168589i
\(638\) 7.40246 7.40246i 0.293066 0.293066i
\(639\) 3.52982 8.52173i 0.139637 0.337114i
\(640\) 1.73907 + 0.720347i 0.0687429 + 0.0284742i
\(641\) 4.82099 + 11.6389i 0.190418 + 0.459709i 0.990039 0.140796i \(-0.0449662\pi\)
−0.799621 + 0.600505i \(0.794966\pi\)
\(642\) 17.1029i 0.674998i
\(643\) 40.7743 16.8893i 1.60798 0.666048i 0.615466 0.788164i \(-0.288968\pi\)
0.992516 + 0.122116i \(0.0389680\pi\)
\(644\) 26.4452 + 26.4452i 1.04209 + 1.04209i
\(645\) 0.0648809 0.00255468
\(646\) −1.05608 1.28771i −0.0415509 0.0506642i
\(647\) 20.3328 0.799364 0.399682 0.916654i \(-0.369121\pi\)
0.399682 + 0.916654i \(0.369121\pi\)
\(648\) −33.9677 33.9677i −1.33438 1.33438i
\(649\) −1.56032 + 0.646307i −0.0612481 + 0.0253698i
\(650\) 38.0522i 1.49253i
\(651\) −3.39997 8.20827i −0.133256 0.321707i
\(652\) 9.33367 + 3.86613i 0.365535 + 0.151409i
\(653\) 5.47254 13.2119i 0.214157 0.517021i −0.779897 0.625908i \(-0.784729\pi\)
0.994054 + 0.108887i \(0.0347286\pi\)
\(654\) 7.02749 7.02749i 0.274797 0.274797i
\(655\) 0.826685 0.826685i 0.0323013 0.0323013i
\(656\) −26.1365 + 63.0990i −1.02046 + 2.46360i
\(657\) −34.8811 14.4482i −1.36084 0.563678i
\(658\) 27.4586 + 66.2909i 1.07045 + 2.58429i
\(659\) 4.34674i 0.169325i 0.996410 + 0.0846625i \(0.0269812\pi\)
−0.996410 + 0.0846625i \(0.973019\pi\)
\(660\) −0.457900 + 0.189669i −0.0178238 + 0.00738284i
\(661\) −11.7887 11.7887i −0.458528 0.458528i 0.439644 0.898172i \(-0.355104\pi\)
−0.898172 + 0.439644i \(0.855104\pi\)
\(662\) 81.5863 3.17094
\(663\) −4.35606 2.33022i −0.169175 0.0904983i
\(664\) 11.0837 0.430131
\(665\) 0.0547551 + 0.0547551i 0.00212331 + 0.00212331i
\(666\) 55.4024 22.9484i 2.14680 0.889234i
\(667\) 6.70812i 0.259739i
\(668\) 19.7999 + 47.8012i 0.766082 + 1.84949i
\(669\) −6.11178 2.53158i −0.236295 0.0978766i
\(670\) −2.06166 + 4.97728i −0.0796488 + 0.192289i
\(671\) −10.6463 + 10.6463i −0.410994 + 0.410994i
\(672\) −4.67727 + 4.67727i −0.180429 + 0.180429i
\(673\) 12.6526 30.5462i 0.487723 1.17747i −0.468140 0.883654i \(-0.655076\pi\)
0.955863 0.293813i \(-0.0949244\pi\)
\(674\) 20.8394 + 8.63195i 0.802703 + 0.332490i
\(675\) −4.43320 10.7027i −0.170634 0.411947i
\(676\) 17.8123i 0.685090i
\(677\) −10.4822 + 4.34188i −0.402865 + 0.166872i −0.574909 0.818217i \(-0.694963\pi\)
0.172044 + 0.985089i \(0.444963\pi\)
\(678\) 3.77864 + 3.77864i 0.145118 + 0.145118i
\(679\) 7.78714 0.298843
\(680\) 4.06114 1.23046i 0.155738 0.0471860i
\(681\) −2.34348 −0.0898023
\(682\) −22.7767 22.7767i −0.872165 0.872165i
\(683\) 1.72666 0.715205i 0.0660687 0.0273665i −0.349404 0.936972i \(-0.613616\pi\)
0.415473 + 0.909605i \(0.363616\pi\)
\(684\) 2.02074i 0.0772651i
\(685\) 0.835250 + 2.01647i 0.0319133 + 0.0770454i
\(686\) −35.2745 14.6112i −1.34679 0.557857i
\(687\) −1.30972 + 3.16194i −0.0499689 + 0.120636i
\(688\) 5.04827 5.04827i 0.192464 0.192464i
\(689\) 24.7318 24.7318i 0.942207 0.942207i
\(690\) −0.175743 + 0.424281i −0.00669042 + 0.0161521i
\(691\) 10.4367 + 4.32302i 0.397030 + 0.164455i 0.572260 0.820072i \(-0.306067\pi\)
−0.175230 + 0.984528i \(0.556067\pi\)
\(692\) −17.6683 42.6550i −0.671648 1.62150i
\(693\) 14.5216i 0.551629i
\(694\) −37.8981 + 15.6979i −1.43859 + 0.595884i
\(695\) −1.30617 1.30617i −0.0495459 0.0495459i
\(696\) 6.08750 0.230746
\(697\) −11.4373 37.7487i −0.433217 1.42983i
\(698\) 18.5214 0.701045
\(699\) −0.961697 0.961697i −0.0363747 0.0363747i
\(700\) 61.8227 25.6078i 2.33668 0.967884i
\(701\) 15.7253i 0.593938i 0.954887 + 0.296969i \(0.0959758\pi\)
−0.954887 + 0.296969i \(0.904024\pi\)
\(702\) −6.81975 16.4643i −0.257395 0.621406i
\(703\) 1.21478 + 0.503177i 0.0458162 + 0.0189777i
\(704\) 0.131295 0.316974i 0.00494837 0.0119464i
\(705\) −0.430850 + 0.430850i −0.0162268 + 0.0162268i
\(706\) 1.51013 1.51013i 0.0568344 0.0568344i
\(707\) −2.84315 + 6.86397i −0.106928 + 0.258146i
\(708\) −1.63782 0.678405i −0.0615529 0.0254960i
\(709\) −4.60534 11.1183i −0.172957 0.417556i 0.813502 0.581562i \(-0.197558\pi\)
−0.986459 + 0.164006i \(0.947558\pi\)
\(710\) 1.34512i 0.0504814i
\(711\) −14.9653 + 6.19881i −0.561241 + 0.232474i
\(712\) −59.2414 59.2414i −2.22016 2.22016i
\(713\) −20.6403 −0.772984
\(714\) 1.23546 12.5013i 0.0462360 0.467850i
\(715\) 0.832792 0.0311447
\(716\) 7.67610 + 7.67610i 0.286869 + 0.286869i
\(717\) −8.93275 + 3.70007i −0.333600 + 0.138182i
\(718\) 68.5285i 2.55746i
\(719\) −4.23836 10.2323i −0.158064 0.381601i 0.824931 0.565234i \(-0.191214\pi\)
−0.982995 + 0.183633i \(0.941214\pi\)
\(720\) 3.04881 + 1.26286i 0.113623 + 0.0470640i
\(721\) −9.85223 + 23.7854i −0.366916 + 0.885814i
\(722\) −34.1657 + 34.1657i −1.27151 + 1.27151i
\(723\) 3.12056 3.12056i 0.116055 0.116055i
\(724\) −30.2014 + 72.9125i −1.12242 + 2.70977i
\(725\) −11.0888 4.59315i −0.411829 0.170585i
\(726\) −3.14677 7.59698i −0.116788 0.281950i
\(727\) 41.0360i 1.52194i 0.648786 + 0.760971i \(0.275277\pi\)
−0.648786 + 0.760971i \(0.724723\pi\)
\(728\) 52.6862 21.8234i 1.95268 0.808827i
\(729\) 13.2852 + 13.2852i 0.492045 + 0.492045i
\(730\) 5.50583 0.203780
\(731\) −0.405497 + 4.10312i −0.0149979 + 0.151759i
\(732\) −15.8038 −0.584126
\(733\) −30.9445 30.9445i −1.14296 1.14296i −0.987906 0.155055i \(-0.950445\pi\)
−0.155055 0.987906i \(-0.549555\pi\)
\(734\) −75.0828 + 31.1003i −2.77136 + 1.14793i
\(735\) 0.129940i 0.00479291i
\(736\) 5.88066 + 14.1972i 0.216764 + 0.523315i
\(737\) 20.4660 + 8.47731i 0.753876 + 0.312266i
\(738\) 26.4840 63.9380i 0.974890 2.35359i
\(739\) 12.6882 12.6882i 0.466744 0.466744i −0.434114 0.900858i \(-0.642938\pi\)
0.900858 + 0.434114i \(0.142938\pi\)
\(740\) −4.27636 + 4.27636i −0.157202 + 0.157202i
\(741\) 0.0727309 0.175588i 0.00267184 0.00645038i
\(742\) 82.1697 + 34.0358i 3.01654 + 1.24949i
\(743\) 12.3987 + 29.9330i 0.454863 + 1.09814i 0.970451 + 0.241299i \(0.0775734\pi\)
−0.515588 + 0.856836i \(0.672427\pi\)
\(744\) 18.7307i 0.686701i
\(745\) −2.30752 + 0.955808i −0.0845412 + 0.0350181i
\(746\) 15.4206 + 15.4206i 0.564589 + 0.564589i
\(747\) −4.97792 −0.182132
\(748\) −9.13296 30.1434i −0.333934 1.10215i
\(749\) −50.5363 −1.84656
\(750\) 1.16514 + 1.16514i 0.0425449 + 0.0425449i
\(751\) −47.5885 + 19.7118i −1.73653 + 0.719293i −0.737494 + 0.675354i \(0.763991\pi\)
−0.999034 + 0.0439394i \(0.986009\pi\)
\(752\) 67.0474i 2.44497i
\(753\) 0.0647042 + 0.156210i 0.00235795 + 0.00569260i
\(754\) −17.0584 7.06581i −0.621229 0.257321i
\(755\) −0.443734 + 1.07127i −0.0161492 + 0.0389875i
\(756\) 22.1598 22.1598i 0.805945 0.805945i
\(757\) 3.80989 3.80989i 0.138473 0.138473i −0.634473 0.772945i \(-0.718783\pi\)
0.772945 + 0.634473i \(0.218783\pi\)
\(758\) 15.6551 37.7947i 0.568619 1.37277i
\(759\) 1.74460 + 0.722636i 0.0633249 + 0.0262300i
\(760\) 0.0624737 + 0.150825i 0.00226616 + 0.00547099i
\(761\)