Properties

Label 731.2.m.c.87.19
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 87.19
Character \(\chi\) = 731.87
Dual form 731.2.m.c.689.19

$q$-expansion

\(f(q)\) \(=\) \(q+(0.639626 + 0.639626i) q^{2} +(-0.916759 + 0.379734i) q^{3} -1.18176i q^{4} +(0.199818 + 0.482403i) q^{5} +(-0.829270 - 0.343495i) q^{6} +(0.462611 - 1.11684i) q^{7} +(2.03513 - 2.03513i) q^{8} +(-1.42507 + 1.42507i) q^{9} +O(q^{10})\) \(q+(0.639626 + 0.639626i) q^{2} +(-0.916759 + 0.379734i) q^{3} -1.18176i q^{4} +(0.199818 + 0.482403i) q^{5} +(-0.829270 - 0.343495i) q^{6} +(0.462611 - 1.11684i) q^{7} +(2.03513 - 2.03513i) q^{8} +(-1.42507 + 1.42507i) q^{9} +(-0.180749 + 0.436366i) q^{10} +(1.30474 + 0.540439i) q^{11} +(0.448753 + 1.08339i) q^{12} -6.44237i q^{13} +(1.01026 - 0.418463i) q^{14} +(-0.366369 - 0.366369i) q^{15} +0.239934 q^{16} +(-2.99591 - 2.83276i) q^{17} -1.82303 q^{18} +(3.13514 + 3.13514i) q^{19} +(0.570083 - 0.236136i) q^{20} +1.19954i q^{21} +(0.488864 + 1.18022i) q^{22} +(-5.39622 - 2.23519i) q^{23} +(-1.09292 + 2.63854i) q^{24} +(3.34275 - 3.34275i) q^{25} +(4.12071 - 4.12071i) q^{26} +(1.90450 - 4.59787i) q^{27} +(-1.31984 - 0.546694i) q^{28} +(1.18499 + 2.86083i) q^{29} -0.468679i q^{30} +(5.43572 - 2.25155i) q^{31} +(-3.91680 - 3.91680i) q^{32} -1.40135 q^{33} +(-0.104355 - 3.72817i) q^{34} +0.631205 q^{35} +(1.68409 + 1.68409i) q^{36} +(6.99643 - 2.89802i) q^{37} +4.01064i q^{38} +(2.44639 + 5.90610i) q^{39} +(1.38841 + 0.575098i) q^{40} +(1.27061 - 3.06752i) q^{41} +(-0.767259 + 0.767259i) q^{42} +(-0.707107 + 0.707107i) q^{43} +(0.638668 - 1.54188i) q^{44} +(-0.972213 - 0.402704i) q^{45} +(-2.02188 - 4.88125i) q^{46} -5.93360i q^{47} +(-0.219962 + 0.0911111i) q^{48} +(3.91642 + 3.91642i) q^{49} +4.27622 q^{50} +(3.82222 + 1.45931i) q^{51} -7.61332 q^{52} +(-7.37026 - 7.37026i) q^{53} +(4.15909 - 1.72275i) q^{54} +0.737397i q^{55} +(-1.33145 - 3.21440i) q^{56} +(-4.06469 - 1.68365i) q^{57} +(-1.07191 + 2.58781i) q^{58} +(3.01122 - 3.01122i) q^{59} +(-0.432960 + 0.432960i) q^{60} +(-5.47181 + 13.2101i) q^{61} +(4.91698 + 2.03668i) q^{62} +(0.932326 + 2.25083i) q^{63} -5.49044i q^{64} +(3.10782 - 1.28730i) q^{65} +(-0.896340 - 0.896340i) q^{66} +8.65354 q^{67} +(-3.34764 + 3.54044i) q^{68} +5.79581 q^{69} +(0.403735 + 0.403735i) q^{70} +(-7.66813 + 3.17625i) q^{71} +5.80042i q^{72} +(3.55138 + 8.57380i) q^{73} +(6.32874 + 2.62145i) q^{74} +(-1.79514 + 4.33385i) q^{75} +(3.70498 - 3.70498i) q^{76} +(1.20717 - 1.20717i) q^{77} +(-2.21292 + 5.34247i) q^{78} +(2.04936 + 0.848873i) q^{79} +(0.0479431 + 0.115745i) q^{80} -1.10772i q^{81} +(2.77478 - 1.14935i) q^{82} +(-1.34503 - 1.34503i) q^{83} +1.41757 q^{84} +(0.767895 - 2.01127i) q^{85} -0.904568 q^{86} +(-2.17271 - 2.17271i) q^{87} +(3.75518 - 1.55545i) q^{88} +5.67384i q^{89} +(-0.364273 - 0.879432i) q^{90} +(-7.19511 - 2.98031i) q^{91} +(-2.64145 + 6.37703i) q^{92} +(-4.12826 + 4.12826i) q^{93} +(3.79528 - 3.79528i) q^{94} +(-0.885945 + 2.13886i) q^{95} +(5.07810 + 2.10342i) q^{96} +(-0.981607 - 2.36981i) q^{97} +5.01009i q^{98} +(-2.62950 + 1.08918i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.639626 + 0.639626i 0.452284 + 0.452284i 0.896112 0.443828i \(-0.146380\pi\)
−0.443828 + 0.896112i \(0.646380\pi\)
\(3\) −0.916759 + 0.379734i −0.529291 + 0.219239i −0.631293 0.775545i \(-0.717475\pi\)
0.102002 + 0.994784i \(0.467475\pi\)
\(4\) 1.18176i 0.590879i
\(5\) 0.199818 + 0.482403i 0.0893612 + 0.215737i 0.962241 0.272198i \(-0.0877504\pi\)
−0.872880 + 0.487935i \(0.837750\pi\)
\(6\) −0.829270 0.343495i −0.338548 0.140231i
\(7\) 0.462611 1.11684i 0.174851 0.422127i −0.812022 0.583627i \(-0.801633\pi\)
0.986873 + 0.161500i \(0.0516332\pi\)
\(8\) 2.03513 2.03513i 0.719529 0.719529i
\(9\) −1.42507 + 1.42507i −0.475024 + 0.475024i
\(10\) −0.180749 + 0.436366i −0.0571577 + 0.137991i
\(11\) 1.30474 + 0.540439i 0.393392 + 0.162948i 0.570606 0.821224i \(-0.306708\pi\)
−0.177214 + 0.984172i \(0.556708\pi\)
\(12\) 0.448753 + 1.08339i 0.129544 + 0.312747i
\(13\) 6.44237i 1.78679i −0.449270 0.893396i \(-0.648316\pi\)
0.449270 0.893396i \(-0.351684\pi\)
\(14\) 1.01026 0.418463i 0.270003 0.111839i
\(15\) −0.366369 0.366369i −0.0945962 0.0945962i
\(16\) 0.239934 0.0599835
\(17\) −2.99591 2.83276i −0.726615 0.687045i
\(18\) −1.82303 −0.429691
\(19\) 3.13514 + 3.13514i 0.719251 + 0.719251i 0.968452 0.249201i \(-0.0801678\pi\)
−0.249201 + 0.968452i \(0.580168\pi\)
\(20\) 0.570083 0.236136i 0.127474 0.0528016i
\(21\) 1.19954i 0.261762i
\(22\) 0.488864 + 1.18022i 0.104226 + 0.251624i
\(23\) −5.39622 2.23519i −1.12519 0.466069i −0.259047 0.965865i \(-0.583408\pi\)
−0.866143 + 0.499796i \(0.833408\pi\)
\(24\) −1.09292 + 2.63854i −0.223091 + 0.538589i
\(25\) 3.34275 3.34275i 0.668550 0.668550i
\(26\) 4.12071 4.12071i 0.808137 0.808137i
\(27\) 1.90450 4.59787i 0.366521 0.884861i
\(28\) −1.31984 0.546694i −0.249426 0.103315i
\(29\) 1.18499 + 2.86083i 0.220048 + 0.531242i 0.994896 0.100905i \(-0.0321738\pi\)
−0.774848 + 0.632147i \(0.782174\pi\)
\(30\) 0.468679i 0.0855686i
\(31\) 5.43572 2.25155i 0.976285 0.404390i 0.163237 0.986587i \(-0.447807\pi\)
0.813048 + 0.582197i \(0.197807\pi\)
\(32\) −3.91680 3.91680i −0.692399 0.692399i
\(33\) −1.40135 −0.243944
\(34\) −0.104355 3.72817i −0.0178967 0.639375i
\(35\) 0.631205 0.106693
\(36\) 1.68409 + 1.68409i 0.280681 + 0.280681i
\(37\) 6.99643 2.89802i 1.15021 0.476431i 0.275603 0.961271i \(-0.411122\pi\)
0.874603 + 0.484840i \(0.161122\pi\)
\(38\) 4.01064i 0.650611i
\(39\) 2.44639 + 5.90610i 0.391735 + 0.945733i
\(40\) 1.38841 + 0.575098i 0.219527 + 0.0909310i
\(41\) 1.27061 3.06752i 0.198436 0.479066i −0.793070 0.609131i \(-0.791518\pi\)
0.991506 + 0.130064i \(0.0415184\pi\)
\(42\) −0.767259 + 0.767259i −0.118391 + 0.118391i
\(43\) −0.707107 + 0.707107i −0.107833 + 0.107833i
\(44\) 0.638668 1.54188i 0.0962828 0.232447i
\(45\) −0.972213 0.402704i −0.144929 0.0600315i
\(46\) −2.02188 4.88125i −0.298110 0.719701i
\(47\) 5.93360i 0.865504i −0.901513 0.432752i \(-0.857543\pi\)
0.901513 0.432752i \(-0.142457\pi\)
\(48\) −0.219962 + 0.0911111i −0.0317487 + 0.0131508i
\(49\) 3.91642 + 3.91642i 0.559489 + 0.559489i
\(50\) 4.27622 0.604748
\(51\) 3.82222 + 1.45931i 0.535218 + 0.204344i
\(52\) −7.61332 −1.05578
\(53\) −7.37026 7.37026i −1.01238 1.01238i −0.999922 0.0124602i \(-0.996034\pi\)
−0.0124602 0.999922i \(-0.503966\pi\)
\(54\) 4.15909 1.72275i 0.565980 0.234437i
\(55\) 0.737397i 0.0994306i
\(56\) −1.33145 3.21440i −0.177922 0.429542i
\(57\) −4.06469 1.68365i −0.538382 0.223005i
\(58\) −1.07191 + 2.58781i −0.140748 + 0.339796i
\(59\) 3.01122 3.01122i 0.392028 0.392028i −0.483382 0.875410i \(-0.660592\pi\)
0.875410 + 0.483382i \(0.160592\pi\)
\(60\) −0.432960 + 0.432960i −0.0558949 + 0.0558949i
\(61\) −5.47181 + 13.2101i −0.700593 + 1.69138i 0.0216720 + 0.999765i \(0.493101\pi\)
−0.722265 + 0.691616i \(0.756899\pi\)
\(62\) 4.91698 + 2.03668i 0.624457 + 0.258659i
\(63\) 0.932326 + 2.25083i 0.117462 + 0.283578i
\(64\) 5.49044i 0.686305i
\(65\) 3.10782 1.28730i 0.385477 0.159670i
\(66\) −0.896340 0.896340i −0.110332 0.110332i
\(67\) 8.65354 1.05720 0.528599 0.848872i \(-0.322718\pi\)
0.528599 + 0.848872i \(0.322718\pi\)
\(68\) −3.34764 + 3.54044i −0.405960 + 0.429341i
\(69\) 5.79581 0.697734
\(70\) 0.403735 + 0.403735i 0.0482556 + 0.0482556i
\(71\) −7.66813 + 3.17625i −0.910040 + 0.376951i −0.788072 0.615583i \(-0.788921\pi\)
−0.121968 + 0.992534i \(0.538921\pi\)
\(72\) 5.80042i 0.683587i
\(73\) 3.55138 + 8.57380i 0.415658 + 1.00349i 0.983591 + 0.180412i \(0.0577432\pi\)
−0.567933 + 0.823075i \(0.692257\pi\)
\(74\) 6.32874 + 2.62145i 0.735702 + 0.304738i
\(75\) −1.79514 + 4.33385i −0.207285 + 0.500430i
\(76\) 3.70498 3.70498i 0.424990 0.424990i
\(77\) 1.20717 1.20717i 0.137570 0.137570i
\(78\) −2.21292 + 5.34247i −0.250564 + 0.604915i
\(79\) 2.04936 + 0.848873i 0.230571 + 0.0955057i 0.494978 0.868906i \(-0.335176\pi\)
−0.264407 + 0.964411i \(0.585176\pi\)
\(80\) 0.0479431 + 0.115745i 0.00536020 + 0.0129407i
\(81\) 1.10772i 0.123080i
\(82\) 2.77478 1.14935i 0.306423 0.126925i
\(83\) −1.34503 1.34503i −0.147636 0.147636i 0.629425 0.777061i \(-0.283290\pi\)
−0.777061 + 0.629425i \(0.783290\pi\)
\(84\) 1.41757 0.154670
\(85\) 0.767895 2.01127i 0.0832899 0.218153i
\(86\) −0.904568 −0.0975420
\(87\) −2.17271 2.17271i −0.232939 0.232939i
\(88\) 3.75518 1.55545i 0.400303 0.165811i
\(89\) 5.67384i 0.601426i 0.953715 + 0.300713i \(0.0972247\pi\)
−0.953715 + 0.300713i \(0.902775\pi\)
\(90\) −0.364273 0.879432i −0.0383977 0.0927003i
\(91\) −7.19511 2.98031i −0.754252 0.312421i
\(92\) −2.64145 + 6.37703i −0.275390 + 0.664851i
\(93\) −4.12826 + 4.12826i −0.428080 + 0.428080i
\(94\) 3.79528 3.79528i 0.391454 0.391454i
\(95\) −0.885945 + 2.13886i −0.0908960 + 0.219442i
\(96\) 5.07810 + 2.10342i 0.518282 + 0.214679i
\(97\) −0.981607 2.36981i −0.0996671 0.240618i 0.866179 0.499734i \(-0.166569\pi\)
−0.965846 + 0.259116i \(0.916569\pi\)
\(98\) 5.01009i 0.506095i
\(99\) −2.62950 + 1.08918i −0.264275 + 0.109466i
\(100\) −3.95032 3.95032i −0.395032 0.395032i
\(101\) −14.6890 −1.46161 −0.730805 0.682587i \(-0.760855\pi\)
−0.730805 + 0.682587i \(0.760855\pi\)
\(102\) 1.51138 + 3.37820i 0.149649 + 0.334492i
\(103\) 3.13315 0.308718 0.154359 0.988015i \(-0.450669\pi\)
0.154359 + 0.988015i \(0.450669\pi\)
\(104\) −13.1111 13.1111i −1.28565 1.28565i
\(105\) −0.578663 + 0.239690i −0.0564717 + 0.0233914i
\(106\) 9.42841i 0.915768i
\(107\) 1.88230 + 4.54428i 0.181969 + 0.439312i 0.988372 0.152054i \(-0.0485888\pi\)
−0.806403 + 0.591366i \(0.798589\pi\)
\(108\) −5.43357 2.25066i −0.522845 0.216570i
\(109\) −4.86895 + 11.7547i −0.466361 + 1.12589i 0.499379 + 0.866383i \(0.333561\pi\)
−0.965740 + 0.259511i \(0.916439\pi\)
\(110\) −0.471658 + 0.471658i −0.0449708 + 0.0449708i
\(111\) −5.31356 + 5.31356i −0.504341 + 0.504341i
\(112\) 0.110996 0.267968i 0.0104881 0.0253206i
\(113\) 5.99660 + 2.48387i 0.564113 + 0.233663i 0.646470 0.762940i \(-0.276245\pi\)
−0.0823567 + 0.996603i \(0.526245\pi\)
\(114\) −1.52298 3.67679i −0.142640 0.344363i
\(115\) 3.04978i 0.284394i
\(116\) 3.38080 1.40038i 0.313900 0.130022i
\(117\) 9.18084 + 9.18084i 0.848769 + 0.848769i
\(118\) 3.85211 0.354616
\(119\) −4.54969 + 2.03549i −0.417069 + 0.186593i
\(120\) −1.49122 −0.136129
\(121\) −6.36792 6.36792i −0.578901 0.578901i
\(122\) −11.9494 + 4.94962i −1.08185 + 0.448117i
\(123\) 3.29467i 0.297070i
\(124\) −2.66079 6.42371i −0.238946 0.576866i
\(125\) 4.69251 + 1.94370i 0.419710 + 0.173850i
\(126\) −0.843352 + 2.03603i −0.0751317 + 0.181384i
\(127\) −6.44963 + 6.44963i −0.572312 + 0.572312i −0.932774 0.360462i \(-0.882619\pi\)
0.360462 + 0.932774i \(0.382619\pi\)
\(128\) −4.32177 + 4.32177i −0.381994 + 0.381994i
\(129\) 0.379734 0.916759i 0.0334337 0.0807161i
\(130\) 2.81123 + 1.16445i 0.246561 + 0.102129i
\(131\) −0.335160 0.809148i −0.0292831 0.0706956i 0.908562 0.417751i \(-0.137182\pi\)
−0.937845 + 0.347055i \(0.887182\pi\)
\(132\) 1.65606i 0.144141i
\(133\) 4.95181 2.05111i 0.429377 0.177854i
\(134\) 5.53503 + 5.53503i 0.478153 + 0.478153i
\(135\) 2.59858 0.223650
\(136\) −11.8621 + 0.332031i −1.01717 + 0.0284714i
\(137\) −12.9262 −1.10436 −0.552181 0.833724i \(-0.686204\pi\)
−0.552181 + 0.833724i \(0.686204\pi\)
\(138\) 3.70715 + 3.70715i 0.315574 + 0.315574i
\(139\) 18.2574 7.56245i 1.54857 0.641439i 0.565514 0.824739i \(-0.308678\pi\)
0.983057 + 0.183300i \(0.0586779\pi\)
\(140\) 0.745932i 0.0630427i
\(141\) 2.25319 + 5.43968i 0.189753 + 0.458104i
\(142\) −6.93635 2.87313i −0.582085 0.241108i
\(143\) 3.48171 8.40558i 0.291155 0.702910i
\(144\) −0.341923 + 0.341923i −0.0284936 + 0.0284936i
\(145\) −1.14329 + 1.14329i −0.0949449 + 0.0949449i
\(146\) −3.21247 + 7.75558i −0.265866 + 0.641856i
\(147\) −5.07761 2.10322i −0.418794 0.173470i
\(148\) −3.42475 8.26808i −0.281513 0.679632i
\(149\) 21.9825i 1.80088i 0.434984 + 0.900438i \(0.356754\pi\)
−0.434984 + 0.900438i \(0.643246\pi\)
\(150\) −3.92026 + 1.62382i −0.320088 + 0.132585i
\(151\) −4.42564 4.42564i −0.360153 0.360153i 0.503716 0.863869i \(-0.331966\pi\)
−0.863869 + 0.503716i \(0.831966\pi\)
\(152\) 12.7609 1.03504
\(153\) 8.30627 0.232500i 0.671522 0.0187965i
\(154\) 1.54427 0.124441
\(155\) 2.17231 + 2.17231i 0.174484 + 0.174484i
\(156\) 6.97958 2.89104i 0.558813 0.231468i
\(157\) 6.68135i 0.533230i 0.963803 + 0.266615i \(0.0859051\pi\)
−0.963803 + 0.266615i \(0.914095\pi\)
\(158\) 0.767863 + 1.85379i 0.0610879 + 0.147479i
\(159\) 9.55548 + 3.95801i 0.757799 + 0.313891i
\(160\) 1.10683 2.67212i 0.0875025 0.211250i
\(161\) −4.99270 + 4.99270i −0.393480 + 0.393480i
\(162\) 0.708529 0.708529i 0.0556673 0.0556673i
\(163\) −4.17338 + 10.0754i −0.326885 + 0.789169i 0.671936 + 0.740609i \(0.265463\pi\)
−0.998820 + 0.0485597i \(0.984537\pi\)
\(164\) −3.62507 1.50155i −0.283070 0.117251i
\(165\) −0.280015 0.676015i −0.0217991 0.0526277i
\(166\) 1.72063i 0.133547i
\(167\) −4.19006 + 1.73558i −0.324237 + 0.134303i −0.538864 0.842393i \(-0.681146\pi\)
0.214627 + 0.976696i \(0.431146\pi\)
\(168\) 2.44123 + 2.44123i 0.188345 + 0.188345i
\(169\) −28.5041 −2.19262
\(170\) 1.77763 0.795295i 0.136338 0.0609963i
\(171\) −8.93561 −0.683323
\(172\) 0.835629 + 0.835629i 0.0637161 + 0.0637161i
\(173\) 6.44678 2.67035i 0.490140 0.203023i −0.123904 0.992294i \(-0.539542\pi\)
0.614044 + 0.789272i \(0.289542\pi\)
\(174\) 2.77944i 0.210709i
\(175\) −2.18693 5.27971i −0.165316 0.399109i
\(176\) 0.313050 + 0.129670i 0.0235971 + 0.00977422i
\(177\) −1.61710 + 3.90403i −0.121549 + 0.293445i
\(178\) −3.62914 + 3.62914i −0.272015 + 0.272015i
\(179\) 17.0397 17.0397i 1.27360 1.27360i 0.329422 0.944183i \(-0.393146\pi\)
0.944183 0.329422i \(-0.106854\pi\)
\(180\) −0.475898 + 1.14892i −0.0354714 + 0.0856354i
\(181\) 4.07779 + 1.68908i 0.303100 + 0.125548i 0.529050 0.848591i \(-0.322549\pi\)
−0.225950 + 0.974139i \(0.572549\pi\)
\(182\) −2.69589 6.50846i −0.199833 0.482439i
\(183\) 14.1883i 1.04883i
\(184\) −15.5309 + 6.43313i −1.14496 + 0.474257i
\(185\) 2.79602 + 2.79602i 0.205568 + 0.205568i
\(186\) −5.28108 −0.387228
\(187\) −2.37793 5.31511i −0.173892 0.388679i
\(188\) −7.01207 −0.511408
\(189\) −4.25405 4.25405i −0.309437 0.309437i
\(190\) −1.93474 + 0.801397i −0.140361 + 0.0581394i
\(191\) 9.30167i 0.673045i 0.941675 + 0.336523i \(0.109251\pi\)
−0.941675 + 0.336523i \(0.890749\pi\)
\(192\) 2.08491 + 5.03341i 0.150465 + 0.363255i
\(193\) 7.03237 + 2.91290i 0.506201 + 0.209675i 0.621144 0.783697i \(-0.286668\pi\)
−0.114942 + 0.993372i \(0.536668\pi\)
\(194\) 0.887930 2.14365i 0.0637496 0.153905i
\(195\) −2.36029 + 2.36029i −0.169024 + 0.169024i
\(196\) 4.62826 4.62826i 0.330590 0.330590i
\(197\) 2.13815 5.16195i 0.152337 0.367773i −0.829226 0.558913i \(-0.811218\pi\)
0.981563 + 0.191140i \(0.0612184\pi\)
\(198\) −2.37856 0.985234i −0.169037 0.0700175i
\(199\) −0.0345027 0.0832969i −0.00244583 0.00590476i 0.922652 0.385634i \(-0.126017\pi\)
−0.925098 + 0.379729i \(0.876017\pi\)
\(200\) 13.6059i 0.962081i
\(201\) −7.93321 + 3.28604i −0.559565 + 0.231779i
\(202\) −9.39546 9.39546i −0.661062 0.661062i
\(203\) 3.74328 0.262727
\(204\) 1.72455 4.51694i 0.120743 0.316249i
\(205\) 1.73367 0.121085
\(206\) 2.00404 + 2.00404i 0.139628 + 0.139628i
\(207\) 10.8753 4.50470i 0.755886 0.313098i
\(208\) 1.54574i 0.107178i
\(209\) 2.39618 + 5.78489i 0.165747 + 0.400149i
\(210\) −0.523440 0.216816i −0.0361208 0.0149617i
\(211\) 10.5831 25.5499i 0.728572 1.75893i 0.0812751 0.996692i \(-0.474101\pi\)
0.647297 0.762238i \(-0.275899\pi\)
\(212\) −8.70986 + 8.70986i −0.598195 + 0.598195i
\(213\) 5.82370 5.82370i 0.399033 0.399033i
\(214\) −1.70267 + 4.11061i −0.116392 + 0.280995i
\(215\) −0.482403 0.199818i −0.0328996 0.0136275i
\(216\) −5.48137 13.2332i −0.372960 0.900405i
\(217\) 7.11243i 0.482824i
\(218\) −10.6329 + 4.40429i −0.720151 + 0.298296i
\(219\) −6.51152 6.51152i −0.440008 0.440008i
\(220\) 0.871425 0.0587514
\(221\) −18.2497 + 19.3008i −1.22761 + 1.29831i
\(222\) −6.79739 −0.456211
\(223\) 4.91058 + 4.91058i 0.328837 + 0.328837i 0.852144 0.523307i \(-0.175302\pi\)
−0.523307 + 0.852144i \(0.675302\pi\)
\(224\) −6.18640 + 2.56249i −0.413346 + 0.171214i
\(225\) 9.52731i 0.635154i
\(226\) 2.24683 + 5.42433i 0.149457 + 0.360821i
\(227\) 5.63411 + 2.33372i 0.373949 + 0.154895i 0.561739 0.827314i \(-0.310133\pi\)
−0.187790 + 0.982209i \(0.560133\pi\)
\(228\) −1.98967 + 4.80348i −0.131769 + 0.318118i
\(229\) −10.5862 + 10.5862i −0.699556 + 0.699556i −0.964315 0.264759i \(-0.914708\pi\)
0.264759 + 0.964315i \(0.414708\pi\)
\(230\) 1.95072 1.95072i 0.128627 0.128627i
\(231\) −0.648280 + 1.56509i −0.0426537 + 0.102975i
\(232\) 8.23379 + 3.41055i 0.540575 + 0.223913i
\(233\) 6.28407 + 15.1711i 0.411683 + 0.993892i 0.984686 + 0.174338i \(0.0557786\pi\)
−0.573002 + 0.819554i \(0.694221\pi\)
\(234\) 11.7446i 0.767769i
\(235\) 2.86238 1.18564i 0.186721 0.0773425i
\(236\) −3.55854 3.55854i −0.231641 0.231641i
\(237\) −2.20112 −0.142978
\(238\) −4.21205 1.60814i −0.273027 0.104240i
\(239\) −20.4604 −1.32348 −0.661738 0.749735i \(-0.730181\pi\)
−0.661738 + 0.749735i \(0.730181\pi\)
\(240\) −0.0879045 0.0879045i −0.00567421 0.00567421i
\(241\) 11.4902 4.75940i 0.740149 0.306580i 0.0194338 0.999811i \(-0.493814\pi\)
0.720715 + 0.693231i \(0.243814\pi\)
\(242\) 8.14617i 0.523655i
\(243\) 6.13414 + 14.8091i 0.393505 + 0.950006i
\(244\) 15.6111 + 6.46635i 0.999401 + 0.413966i
\(245\) −1.10672 + 2.67186i −0.0707059 + 0.170699i
\(246\) −2.10736 + 2.10736i −0.134360 + 0.134360i
\(247\) 20.1978 20.1978i 1.28515 1.28515i
\(248\) 6.48022 15.6446i 0.411494 0.993435i
\(249\) 1.74382 + 0.722313i 0.110510 + 0.0457747i
\(250\) 1.75821 + 4.24469i 0.111199 + 0.268458i
\(251\) 20.9555i 1.32270i −0.750078 0.661349i \(-0.769984\pi\)
0.750078 0.661349i \(-0.230016\pi\)
\(252\) 2.65994 1.10178i 0.167560 0.0694058i
\(253\) −5.83266 5.83266i −0.366696 0.366696i
\(254\) −8.25070 −0.517695
\(255\) 0.0597730 + 2.13545i 0.00374313 + 0.133727i
\(256\) −16.5095 −1.03184
\(257\) 12.9891 + 12.9891i 0.810238 + 0.810238i 0.984669 0.174431i \(-0.0558086\pi\)
−0.174431 + 0.984669i \(0.555809\pi\)
\(258\) 0.829270 0.343495i 0.0516281 0.0213851i
\(259\) 9.15456i 0.568837i
\(260\) −1.52128 3.67269i −0.0943455 0.227770i
\(261\) −5.76558 2.38818i −0.356881 0.147825i
\(262\) 0.303175 0.731929i 0.0187302 0.0452187i
\(263\) −2.96775 + 2.96775i −0.182999 + 0.182999i −0.792661 0.609662i \(-0.791305\pi\)
0.609662 + 0.792661i \(0.291305\pi\)
\(264\) −2.85194 + 2.85194i −0.175525 + 0.175525i
\(265\) 2.08272 5.02814i 0.127941 0.308876i
\(266\) 4.47925 + 1.85537i 0.274640 + 0.113760i
\(267\) −2.15455 5.20155i −0.131856 0.318330i
\(268\) 10.2264i 0.624676i
\(269\) 12.4325 5.14970i 0.758022 0.313983i 0.0300118 0.999550i \(-0.490446\pi\)
0.728010 + 0.685567i \(0.240446\pi\)
\(270\) 1.66212 + 1.66212i 0.101153 + 0.101153i
\(271\) 22.2794 1.35338 0.676688 0.736270i \(-0.263415\pi\)
0.676688 + 0.736270i \(0.263415\pi\)
\(272\) −0.718821 0.679675i −0.0435849 0.0412114i
\(273\) 7.72790 0.467714
\(274\) −8.26794 8.26794i −0.499485 0.499485i
\(275\) 6.16795 2.55485i 0.371942 0.154063i
\(276\) 6.84924i 0.412276i
\(277\) −0.323712 0.781511i −0.0194500 0.0469564i 0.913856 0.406038i \(-0.133090\pi\)
−0.933306 + 0.359082i \(0.883090\pi\)
\(278\) 16.5150 + 6.84075i 0.990506 + 0.410281i
\(279\) −4.53767 + 10.9549i −0.271663 + 0.655854i
\(280\) 1.28459 1.28459i 0.0767688 0.0767688i
\(281\) 14.0553 14.0553i 0.838466 0.838466i −0.150191 0.988657i \(-0.547989\pi\)
0.988657 + 0.150191i \(0.0479888\pi\)
\(282\) −2.03816 + 4.92056i −0.121371 + 0.293015i
\(283\) 26.6533 + 11.0402i 1.58437 + 0.656270i 0.989099 0.147252i \(-0.0470428\pi\)
0.595276 + 0.803521i \(0.297043\pi\)
\(284\) 3.75355 + 9.06188i 0.222732 + 0.537723i
\(285\) 2.29724i 0.136077i
\(286\) 7.60342 3.14944i 0.449600 0.186230i
\(287\) −2.83814 2.83814i −0.167530 0.167530i
\(288\) 11.1634 0.657812
\(289\) 0.950945 + 16.9734i 0.0559379 + 0.998434i
\(290\) −1.46255 −0.0858841
\(291\) 1.79979 + 1.79979i 0.105506 + 0.105506i
\(292\) 10.1321 4.19687i 0.592939 0.245603i
\(293\) 19.4741i 1.13769i 0.822444 + 0.568845i \(0.192610\pi\)
−0.822444 + 0.568845i \(0.807390\pi\)
\(294\) −1.90250 4.59304i −0.110956 0.267872i
\(295\) 2.05432 + 0.850927i 0.119607 + 0.0495429i
\(296\) 8.34082 20.1365i 0.484801 1.17041i
\(297\) 4.96974 4.96974i 0.288373 0.288373i
\(298\) −14.0606 + 14.0606i −0.814507 + 0.814507i
\(299\) −14.3999 + 34.7645i −0.832768 + 2.01048i
\(300\) 5.12156 + 2.12142i 0.295693 + 0.122480i
\(301\) 0.462611 + 1.11684i 0.0266645 + 0.0643737i
\(302\) 5.66151i 0.325783i
\(303\) 13.4663 5.57791i 0.773617 0.320443i
\(304\) 0.752228 + 0.752228i 0.0431432 + 0.0431432i
\(305\) −7.46596 −0.427500
\(306\) 5.46162 + 5.16419i 0.312220 + 0.295217i
\(307\) 13.6342 0.778145 0.389073 0.921207i \(-0.372796\pi\)
0.389073 + 0.921207i \(0.372796\pi\)
\(308\) −1.42658 1.42658i −0.0812870 0.0812870i
\(309\) −2.87234 + 1.18976i −0.163402 + 0.0676832i
\(310\) 2.77893i 0.157833i
\(311\) 6.91817 + 16.7019i 0.392293 + 0.947080i 0.989439 + 0.144947i \(0.0463013\pi\)
−0.597146 + 0.802133i \(0.703699\pi\)
\(312\) 16.9984 + 7.04098i 0.962347 + 0.398617i
\(313\) −2.54624 + 6.14718i −0.143922 + 0.347459i −0.979359 0.202127i \(-0.935215\pi\)
0.835437 + 0.549586i \(0.185215\pi\)
\(314\) −4.27356 + 4.27356i −0.241171 + 0.241171i
\(315\) −0.899513 + 0.899513i −0.0506818 + 0.0506818i
\(316\) 1.00316 2.42185i 0.0564323 0.136240i
\(317\) −14.5390 6.02226i −0.816593 0.338244i −0.0650118 0.997884i \(-0.520709\pi\)
−0.751581 + 0.659641i \(0.770709\pi\)
\(318\) 3.58029 + 8.64358i 0.200773 + 0.484708i
\(319\) 4.37304i 0.244843i
\(320\) 2.64860 1.09709i 0.148061 0.0613291i
\(321\) −3.45123 3.45123i −0.192629 0.192629i
\(322\) −6.38693 −0.355929
\(323\) −0.511497 18.2737i −0.0284605 1.01678i
\(324\) −1.30906 −0.0727256
\(325\) −21.5352 21.5352i −1.19456 1.19456i
\(326\) −9.11391 + 3.77511i −0.504773 + 0.209084i
\(327\) 12.6251i 0.698170i
\(328\) −3.65696 8.82868i −0.201922 0.487482i
\(329\) −6.62689 2.74495i −0.365352 0.151334i
\(330\) 0.253292 0.611501i 0.0139433 0.0336620i
\(331\) −1.07157 + 1.07157i −0.0588989 + 0.0588989i −0.735943 0.677044i \(-0.763261\pi\)
0.677044 + 0.735943i \(0.263261\pi\)
\(332\) −1.58950 + 1.58950i −0.0872349 + 0.0872349i
\(333\) −5.84053 + 14.1003i −0.320059 + 0.772691i
\(334\) −3.79020 1.56995i −0.207390 0.0859039i
\(335\) 1.72913 + 4.17449i 0.0944725 + 0.228077i
\(336\) 0.287811i 0.0157014i
\(337\) 1.33511 0.553022i 0.0727283 0.0301250i −0.346023 0.938226i \(-0.612468\pi\)
0.418751 + 0.908101i \(0.362468\pi\)
\(338\) −18.2320 18.2320i −0.991689 0.991689i
\(339\) −6.44065 −0.349808
\(340\) −2.37683 0.907466i −0.128902 0.0492143i
\(341\) 8.30900 0.449958
\(342\) −5.71545 5.71545i −0.309056 0.309056i
\(343\) 14.0037 5.80052i 0.756128 0.313199i
\(344\) 2.87811i 0.155178i
\(345\) 1.15811 + 2.79592i 0.0623503 + 0.150527i
\(346\) 5.83155 + 2.41551i 0.313506 + 0.129859i
\(347\) −1.58723 + 3.83192i −0.0852071 + 0.205708i −0.960740 0.277451i \(-0.910511\pi\)
0.875533 + 0.483159i \(0.160511\pi\)
\(348\) −2.56761 + 2.56761i −0.137638 + 0.137638i
\(349\) −14.4784 + 14.4784i −0.775011 + 0.775011i −0.978978 0.203967i \(-0.934617\pi\)
0.203967 + 0.978978i \(0.434617\pi\)
\(350\) 1.97823 4.77586i 0.105741 0.255280i
\(351\) −29.6212 12.2695i −1.58106 0.654897i
\(352\) −2.99360 7.22718i −0.159559 0.385210i
\(353\) 26.2626i 1.39782i −0.715210 0.698909i \(-0.753669\pi\)
0.715210 0.698909i \(-0.246331\pi\)
\(354\) −3.53146 + 1.46278i −0.187695 + 0.0777458i
\(355\) −3.06446 3.06446i −0.162645 0.162645i
\(356\) 6.70511 0.355370
\(357\) 3.39802 3.59372i 0.179842 0.190200i
\(358\) 21.7980 1.15206
\(359\) 19.5669 + 19.5669i 1.03270 + 1.03270i 0.999447 + 0.0332557i \(0.0105876\pi\)
0.0332557 + 0.999447i \(0.489412\pi\)
\(360\) −2.79814 + 1.15903i −0.147475 + 0.0610861i
\(361\) 0.658257i 0.0346451i
\(362\) 1.52788 + 3.68864i 0.0803038 + 0.193871i
\(363\) 8.25596 + 3.41973i 0.433325 + 0.179489i
\(364\) −3.52201 + 8.50287i −0.184603 + 0.445672i
\(365\) −3.42639 + 3.42639i −0.179346 + 0.179346i
\(366\) 9.07521 9.07521i 0.474369 0.474369i
\(367\) −6.48867 + 15.6650i −0.338706 + 0.817708i 0.659135 + 0.752025i \(0.270923\pi\)
−0.997841 + 0.0656835i \(0.979077\pi\)
\(368\) −1.29474 0.536298i −0.0674929 0.0279565i
\(369\) 2.56073 + 6.18215i 0.133306 + 0.321830i
\(370\) 3.57682i 0.185950i
\(371\) −11.6410 + 4.82185i −0.604369 + 0.250338i
\(372\) 4.87860 + 4.87860i 0.252944 + 0.252944i
\(373\) −15.0546 −0.779499 −0.389750 0.920921i \(-0.627438\pi\)
−0.389750 + 0.920921i \(0.627438\pi\)
\(374\) 1.87869 4.92067i 0.0971448 0.254442i
\(375\) −5.03998 −0.260264
\(376\) −12.0757 12.0757i −0.622755 0.622755i
\(377\) 18.4305 7.63417i 0.949219 0.393180i
\(378\) 5.44200i 0.279906i
\(379\) −4.85909 11.7309i −0.249595 0.602575i 0.748575 0.663050i \(-0.230738\pi\)
−0.998170 + 0.0604753i \(0.980738\pi\)
\(380\) 2.52761 + 1.04697i 0.129664 + 0.0537085i
\(381\) 3.46361 8.36190i 0.177446 0.428393i
\(382\) −5.94959 + 5.94959i −0.304408 + 0.304408i
\(383\) 9.58132 9.58132i 0.489583 0.489583i −0.418592 0.908174i \(-0.637476\pi\)
0.908174 + 0.418592i \(0.137476\pi\)
\(384\) 2.32090 5.60315i 0.118438 0.285934i
\(385\) 0.823556 + 0.341128i 0.0419723 + 0.0173855i
\(386\) 2.63492 + 6.36125i 0.134114 + 0.323779i
\(387\) 2.01536i 0.102446i
\(388\) −2.80054 + 1.16002i −0.142176 + 0.0588912i
\(389\) −10.3817 10.3817i −0.526371 0.526371i 0.393117 0.919488i \(-0.371397\pi\)
−0.919488 + 0.393117i \(0.871397\pi\)
\(390\) −3.01940 −0.152893
\(391\) 9.83484 + 21.9826i 0.497369 + 1.11171i
\(392\) 15.9409 0.805136
\(393\) 0.614522 + 0.614522i 0.0309985 + 0.0309985i
\(394\) 4.66933 1.93410i 0.235237 0.0974385i
\(395\) 1.15824i 0.0582772i
\(396\) 1.28714 + 3.10744i 0.0646814 + 0.156155i
\(397\) −23.6051 9.77757i −1.18471 0.490722i −0.298680 0.954353i \(-0.596546\pi\)
−0.886028 + 0.463631i \(0.846546\pi\)
\(398\) 0.0312100 0.0753477i 0.00156442 0.00377684i
\(399\) −3.76074 + 3.76074i −0.188273 + 0.188273i
\(400\) 0.802039 0.802039i 0.0401020 0.0401020i
\(401\) 11.9956 28.9600i 0.599033 1.44619i −0.275534 0.961291i \(-0.588855\pi\)
0.874568 0.484903i \(-0.161145\pi\)
\(402\) −7.17612 2.97245i −0.357912 0.148252i
\(403\) −14.5053 35.0189i −0.722561 1.74442i
\(404\) 17.3588i 0.863634i
\(405\) 0.534369 0.221343i 0.0265530 0.0109986i
\(406\) 2.39430 + 2.39430i 0.118827 + 0.118827i
\(407\) 10.6947 0.530116
\(408\) 10.7486 4.80884i 0.532136 0.238073i
\(409\) −5.10090 −0.252223 −0.126112 0.992016i \(-0.540250\pi\)
−0.126112 + 0.992016i \(0.540250\pi\)
\(410\) 1.10890 + 1.10890i 0.0547647 + 0.0547647i
\(411\) 11.8502 4.90852i 0.584528 0.242120i
\(412\) 3.70262i 0.182415i
\(413\) −1.97004 4.75609i −0.0969391 0.234032i
\(414\) 9.83745 + 4.07480i 0.483484 + 0.200266i
\(415\) 0.380084 0.917605i 0.0186576 0.0450434i
\(416\) −25.2335 + 25.2335i −1.23717 + 1.23717i
\(417\) −13.8659 + 13.8659i −0.679016 + 0.679016i
\(418\) −2.16751 + 5.23282i −0.106016 + 0.255946i
\(419\) 28.3031 + 11.7235i 1.38270 + 0.572732i 0.945201 0.326488i \(-0.105865\pi\)
0.437496 + 0.899220i \(0.355865\pi\)
\(420\) 0.283256 + 0.683840i 0.0138215 + 0.0333680i
\(421\) 0.721867i 0.0351817i −0.999845 0.0175908i \(-0.994400\pi\)
0.999845 0.0175908i \(-0.00559962\pi\)
\(422\) 23.1116 9.57315i 1.12506 0.466014i
\(423\) 8.45580 + 8.45580i 0.411135 + 0.411135i
\(424\) −29.9989 −1.45688
\(425\) −19.4838 + 0.545368i −0.945102 + 0.0264542i
\(426\) 7.44998 0.360953
\(427\) 12.2223 + 12.2223i 0.591478 + 0.591478i
\(428\) 5.37023 2.22442i 0.259580 0.107522i
\(429\) 9.02802i 0.435877i
\(430\) −0.180749 0.436366i −0.00871647 0.0210434i
\(431\) −5.79080 2.39863i −0.278933 0.115538i 0.238831 0.971061i \(-0.423236\pi\)
−0.517765 + 0.855523i \(0.673236\pi\)
\(432\) 0.456955 1.10319i 0.0219852 0.0530770i
\(433\) 16.4151 16.4151i 0.788859 0.788859i −0.192448 0.981307i \(-0.561643\pi\)
0.981307 + 0.192448i \(0.0616428\pi\)
\(434\) 4.54930 4.54930i 0.218373 0.218373i
\(435\) 0.613974 1.48227i 0.0294378 0.0710692i
\(436\) 13.8912 + 5.75392i 0.665267 + 0.275563i
\(437\) −9.91030 23.9256i −0.474074 1.14452i
\(438\) 8.32988i 0.398017i
\(439\) 34.9630 14.4822i 1.66869 0.691196i 0.670004 0.742357i \(-0.266292\pi\)
0.998690 + 0.0511616i \(0.0162924\pi\)
\(440\) 1.50070 + 1.50070i 0.0715432 + 0.0715432i
\(441\) −11.1624 −0.531541
\(442\) −24.0182 + 0.672291i −1.14243 + 0.0319776i
\(443\) 24.5839 1.16802 0.584008 0.811748i \(-0.301484\pi\)
0.584008 + 0.811748i \(0.301484\pi\)
\(444\) 6.27934 + 6.27934i 0.298005 + 0.298005i
\(445\) −2.73708 + 1.13373i −0.129750 + 0.0537442i
\(446\) 6.28187i 0.297455i
\(447\) −8.34750 20.1526i −0.394823 0.953188i
\(448\) −6.13196 2.53994i −0.289708 0.120001i
\(449\) −13.8243 + 33.3748i −0.652408 + 1.57505i 0.156865 + 0.987620i \(0.449861\pi\)
−0.809273 + 0.587432i \(0.800139\pi\)
\(450\) −6.09391 + 6.09391i −0.287270 + 0.287270i
\(451\) 3.31562 3.31562i 0.156126 0.156126i
\(452\) 2.93534 7.08653i 0.138067 0.333322i
\(453\) 5.73781 + 2.37668i 0.269586 + 0.111666i
\(454\) 2.11101 + 5.09643i 0.0990746 + 0.239187i
\(455\) 4.06646i 0.190639i
\(456\) −11.6986 + 4.84574i −0.547839 + 0.226923i
\(457\) −10.9019 10.9019i −0.509970 0.509970i 0.404547 0.914517i \(-0.367429\pi\)
−0.914517 + 0.404547i \(0.867429\pi\)
\(458\) −13.5424 −0.632795
\(459\) −18.7304 + 8.37981i −0.874259 + 0.391136i
\(460\) −3.60410 −0.168042
\(461\) 7.08350 + 7.08350i 0.329911 + 0.329911i 0.852553 0.522641i \(-0.175053\pi\)
−0.522641 + 0.852553i \(0.675053\pi\)
\(462\) −1.41573 + 0.586413i −0.0658656 + 0.0272824i
\(463\) 1.65429i 0.0768813i 0.999261 + 0.0384406i \(0.0122391\pi\)
−0.999261 + 0.0384406i \(0.987761\pi\)
\(464\) 0.284320 + 0.686410i 0.0131992 + 0.0318658i
\(465\) −2.81638 1.16658i −0.130607 0.0540990i
\(466\) −5.68437 + 13.7233i −0.263323 + 0.635719i
\(467\) 10.5504 10.5504i 0.488214 0.488214i −0.419528 0.907742i \(-0.637804\pi\)
0.907742 + 0.419528i \(0.137804\pi\)
\(468\) 10.8495 10.8495i 0.501519 0.501519i
\(469\) 4.00322 9.66463i 0.184852 0.446271i
\(470\) 2.58922 + 1.07249i 0.119432 + 0.0494703i
\(471\) −2.53713 6.12518i −0.116905 0.282234i
\(472\) 12.2565i 0.564151i
\(473\) −1.30474 + 0.540439i −0.0599918 + 0.0248494i
\(474\) −1.40789 1.40789i −0.0646665 0.0646665i
\(475\) 20.9600 0.961711
\(476\) 2.40546 + 5.37662i 0.110254 + 0.246437i
\(477\) 21.0063 0.961812
\(478\) −13.0870 13.0870i −0.598587 0.598587i
\(479\) 37.9080 15.7020i 1.73206 0.717443i 0.732742 0.680506i \(-0.238240\pi\)
0.999318 0.0369366i \(-0.0117600\pi\)
\(480\) 2.86999i 0.130997i
\(481\) −18.6701 45.0736i −0.851283 2.05518i
\(482\) 10.3937 + 4.30520i 0.473418 + 0.196096i
\(483\) 2.68121 6.47300i 0.121999 0.294532i
\(484\) −7.52533 + 7.52533i −0.342061 + 0.342061i
\(485\) 0.947060 0.947060i 0.0430038 0.0430038i
\(486\) −5.54875 + 13.3959i −0.251696 + 0.607648i
\(487\) 7.86097 + 3.25612i 0.356214 + 0.147549i 0.553612 0.832775i \(-0.313249\pi\)
−0.197398 + 0.980323i \(0.563249\pi\)
\(488\) 15.7485 + 38.0202i 0.712901 + 1.72109i
\(489\) 10.8215i 0.489366i
\(490\) −2.41688 + 1.00110i −0.109184 + 0.0452253i
\(491\) −19.5906 19.5906i −0.884110 0.884110i 0.109839 0.993949i \(-0.464966\pi\)
−0.993949 + 0.109839i \(0.964966\pi\)
\(492\) 3.89350 0.175533
\(493\) 4.55390 11.9276i 0.205098 0.537191i
\(494\) 25.8380 1.16251
\(495\) −1.05084 1.05084i −0.0472319 0.0472319i
\(496\) 1.30421 0.540223i 0.0585610 0.0242568i
\(497\) 10.0335i 0.450062i
\(498\) 0.653381 + 1.57740i 0.0292787 + 0.0706850i
\(499\) −17.2890 7.16136i −0.773964 0.320586i −0.0394870 0.999220i \(-0.512572\pi\)
−0.734477 + 0.678634i \(0.762572\pi\)
\(500\) 2.29698 5.54540i 0.102724 0.247998i
\(501\) 3.18222 3.18222i 0.142171 0.142171i
\(502\) 13.4037 13.4037i 0.598235 0.598235i
\(503\) −10.1322 + 24.4613i −0.451773 + 1.09068i 0.519875 + 0.854243i \(0.325979\pi\)
−0.971648 + 0.236434i \(0.924021\pi\)
\(504\) 6.47816 + 2.68334i 0.288560 + 0.119525i
\(505\) −2.93512 7.08601i −0.130611 0.315323i
\(506\) 7.46144i 0.331701i
\(507\) 26.1314 10.8240i 1.16054 0.480710i
\(508\) 7.62190 + 7.62190i 0.338167 + 0.338167i
\(509\) 11.7714 0.521759 0.260880 0.965371i \(-0.415987\pi\)
0.260880 + 0.965371i \(0.415987\pi\)
\(510\) −1.32765 + 1.40412i −0.0587895 + 0.0621754i
\(511\) 11.2185 0.496276
\(512\) −1.91637 1.91637i −0.0846924 0.0846924i
\(513\) 20.3859 8.44411i 0.900058 0.372816i
\(514\) 16.6163i 0.732915i
\(515\) 0.626059 + 1.51144i 0.0275874 + 0.0666020i
\(516\) −1.08339 0.448753i −0.0476934 0.0197553i
\(517\) 3.20675 7.74177i 0.141033 0.340483i
\(518\) 5.85549 5.85549i 0.257276 0.257276i
\(519\) −4.89613 + 4.89613i −0.214916 + 0.214916i
\(520\) 3.70500 8.94465i 0.162475 0.392249i
\(521\) −7.41863 3.07290i −0.325016 0.134626i 0.214209 0.976788i \(-0.431283\pi\)
−0.539225 + 0.842162i \(0.681283\pi\)
\(522\) −2.16027 5.21536i −0.0945526 0.228270i
\(523\) 43.9153i 1.92028i −0.279513 0.960142i \(-0.590173\pi\)
0.279513 0.960142i \(-0.409827\pi\)
\(524\) −0.956217 + 0.396078i −0.0417725 + 0.0173028i
\(525\) 4.00977 + 4.00977i 0.175001 + 0.175001i
\(526\) −3.79650 −0.165535
\(527\) −22.6630 8.65266i −0.987217 0.376916i
\(528\) −0.336232 −0.0146326
\(529\) 7.85969 + 7.85969i 0.341726 + 0.341726i
\(530\) 4.54829 1.88396i 0.197565 0.0818342i
\(531\) 8.58242i 0.372445i
\(532\) −2.42391 5.85184i −0.105090 0.253710i
\(533\) −19.7621 8.18573i −0.855992 0.354563i
\(534\) 1.94894 4.70515i 0.0843388 0.203612i
\(535\) −1.81605 + 1.81605i −0.0785149 + 0.0785149i
\(536\) 17.6111 17.6111i 0.760684 0.760684i
\(537\) −9.15073 + 22.0918i −0.394883 + 0.953332i
\(538\) 11.2460 + 4.65825i 0.484850 + 0.200832i
\(539\) 2.99331 + 7.22648i 0.128931 + 0.311266i
\(540\) 3.07089i 0.132150i
\(541\) −27.4936 + 11.3882i −1.18204 + 0.489619i −0.885156 0.465294i \(-0.845949\pi\)
−0.296887 + 0.954912i \(0.595949\pi\)
\(542\) 14.2505 + 14.2505i 0.612110 + 0.612110i
\(543\) −4.37975 −0.187953
\(544\) 0.639024 + 22.8297i 0.0273979 + 0.978817i
\(545\) −6.64339 −0.284572
\(546\) 4.94297 + 4.94297i 0.211539 + 0.211539i
\(547\) −41.5771 + 17.2218i −1.77771 + 0.736350i −0.784480 + 0.620154i \(0.787070\pi\)
−0.993226 + 0.116196i \(0.962930\pi\)
\(548\) 15.2757i 0.652544i
\(549\) −11.0276 26.6231i −0.470648 1.13624i
\(550\) 5.57933 + 2.31103i 0.237903 + 0.0985428i
\(551\) −5.25398 + 12.6842i −0.223827 + 0.540367i
\(552\) 11.7953 11.7953i 0.502039 0.502039i
\(553\) 1.89611 1.89611i 0.0806310 0.0806310i
\(554\) 0.292820 0.706929i 0.0124407 0.0300345i
\(555\) −3.62502 1.50153i −0.153874 0.0637365i
\(556\) −8.93699 21.5758i −0.379013 0.915018i
\(557\) 13.9798i 0.592342i −0.955135 0.296171i \(-0.904290\pi\)
0.955135 0.296171i \(-0.0957098\pi\)
\(558\) −9.90946 + 4.10463i −0.419501 + 0.173763i
\(559\) 4.55544 + 4.55544i 0.192675 + 0.192675i
\(560\) 0.151448 0.00639983
\(561\) 4.19832 + 3.96969i 0.177253 + 0.167600i
\(562\) 17.9802 0.758449
\(563\) −24.2319 24.2319i −1.02125 1.02125i −0.999769 0.0214825i \(-0.993161\pi\)
−0.0214825 0.999769i \(-0.506839\pi\)
\(564\) 6.42838 2.66272i 0.270684 0.112121i
\(565\) 3.38910i 0.142580i
\(566\) 9.98657 + 24.1097i 0.419767 + 1.01341i
\(567\) −1.23715 0.512445i −0.0519555 0.0215207i
\(568\) −9.14160 + 22.0698i −0.383573 + 0.926027i
\(569\) −18.9485 + 18.9485i −0.794362 + 0.794362i −0.982200 0.187838i \(-0.939852\pi\)
0.187838 + 0.982200i \(0.439852\pi\)
\(570\) 1.46938 1.46938i 0.0615454 0.0615454i
\(571\) −0.240236 + 0.579981i −0.0100536 + 0.0242715i −0.928827 0.370515i \(-0.879181\pi\)
0.918773 + 0.394786i \(0.129181\pi\)
\(572\) −9.93336 4.11453i −0.415335 0.172037i
\(573\) −3.53216 8.52739i −0.147558 0.356237i
\(574\) 3.63069i 0.151542i
\(575\) −25.5099 + 10.5665i −1.06384 + 0.440655i
\(576\) 7.82427 + 7.82427i 0.326011 + 0.326011i
\(577\) 5.83950 0.243101 0.121551 0.992585i \(-0.461213\pi\)
0.121551 + 0.992585i \(0.461213\pi\)
\(578\) −10.2484 + 11.4649i −0.426276 + 0.476875i
\(579\) −7.55312 −0.313897
\(580\) 1.35109 + 1.35109i 0.0561009 + 0.0561009i
\(581\) −2.12441 + 0.879958i −0.0881352 + 0.0365068i
\(582\) 2.30239i 0.0954371i
\(583\) −5.63306 13.5994i −0.233297 0.563230i
\(584\) 24.6764 + 10.2213i 1.02112 + 0.422960i
\(585\) −2.59437 + 6.26335i −0.107264 + 0.258958i
\(586\) −12.4562 + 12.4562i −0.514559 + 0.514559i
\(587\) −10.5807 + 10.5807i −0.436710 + 0.436710i −0.890903 0.454193i \(-0.849928\pi\)
0.454193 + 0.890903i \(0.349928\pi\)
\(588\) −2.48549 + 6.00051i −0.102500 + 0.247457i
\(589\) 24.1007 + 9.98284i 0.993052 + 0.411336i
\(590\) 0.769721 + 1.85827i 0.0316889 + 0.0765038i
\(591\) 5.54419i 0.228057i
\(592\) 1.67868 0.695333i 0.0689934 0.0285780i
\(593\) 23.4782 + 23.4782i 0.964132 + 0.964132i 0.999379 0.0352463i \(-0.0112216\pi\)
−0.0352463 + 0.999379i \(0.511222\pi\)
\(594\) 6.35755 0.260853
\(595\) −1.89103 1.78805i −0.0775248 0.0733030i
\(596\) 25.9780 1.06410
\(597\) 0.0632613 + 0.0632613i 0.00258911 + 0.00258911i
\(598\) −31.4468 + 13.0257i −1.28596 + 0.532660i
\(599\) 14.8261i 0.605777i 0.953026 + 0.302888i \(0.0979509\pi\)
−0.953026 + 0.302888i \(0.902049\pi\)
\(600\) 5.16662 + 12.4733i 0.210926 + 0.509221i
\(601\) 36.2753 + 15.0257i 1.47970 + 0.612912i 0.969047 0.246875i \(-0.0794036\pi\)
0.510653 + 0.859787i \(0.329404\pi\)
\(602\) −0.418463 + 1.01026i −0.0170553 + 0.0411751i
\(603\) −12.3319 + 12.3319i −0.502194 + 0.502194i
\(604\) −5.23003 + 5.23003i −0.212807 + 0.212807i
\(605\) 1.79948 4.34432i 0.0731592 0.176622i
\(606\) 12.1811 + 5.04560i 0.494825 + 0.204963i
\(607\) −12.0379 29.0621i −0.488605 1.17960i −0.955422 0.295242i \(-0.904600\pi\)
0.466818 0.884353i \(-0.345400\pi\)
\(608\) 24.5595i 0.996018i
\(609\) −3.43169 + 1.42145i −0.139059 + 0.0576001i
\(610\) −4.77542 4.77542i −0.193351 0.193351i
\(611\) −38.2264 −1.54648
\(612\) −0.274758 9.81600i −0.0111064 0.396788i
\(613\) −36.1297 −1.45927 −0.729633 0.683839i \(-0.760309\pi\)
−0.729633 + 0.683839i \(0.760309\pi\)
\(614\) 8.72079 + 8.72079i 0.351942 + 0.351942i
\(615\) −1.58936 + 0.658334i −0.0640891 + 0.0265466i
\(616\) 4.91351i 0.197971i
\(617\) 10.8485 + 26.1907i 0.436746 + 1.05440i 0.977066 + 0.212938i \(0.0683033\pi\)
−0.540320 + 0.841460i \(0.681697\pi\)
\(618\) −2.59823 1.07622i −0.104516 0.0432920i
\(619\) −15.7017 + 37.9072i −0.631104 + 1.52362i 0.207131 + 0.978313i \(0.433587\pi\)
−0.838236 + 0.545308i \(0.816413\pi\)
\(620\) 2.56714 2.56714i 0.103099 0.103099i
\(621\) −20.5542 + 20.5542i −0.824812 + 0.824812i
\(622\) −6.25795 + 15.1080i −0.250921 + 0.605777i
\(623\) 6.33679 + 2.62478i 0.253878 + 0.105160i
\(624\) 0.586971 + 1.41707i 0.0234977 + 0.0567284i
\(625\) 20.9847i 0.839390i
\(626\) −5.56054 + 2.30325i −0.222244 + 0.0920564i
\(627\) −4.39344 4.39344i −0.175457 0.175457i
\(628\) 7.89573 0.315074
\(629\) −29.1701 11.1370i −1.16309 0.444062i
\(630\) −1.15070 −0.0458451
\(631\) 0.683703 + 0.683703i 0.0272178 + 0.0272178i 0.720585 0.693367i \(-0.243873\pi\)
−0.693367 + 0.720585i \(0.743873\pi\)
\(632\) 5.89829 2.44315i 0.234622 0.0971834i
\(633\) 27.4419i 1.09072i
\(634\) −5.44754 13.1515i −0.216350 0.522314i
\(635\) −4.40007 1.82257i −0.174611 0.0723264i
\(636\) 4.67741 11.2923i 0.185471 0.447767i
\(637\) 25.2310 25.2310i 0.999690 0.999690i
\(638\) −2.79711 + 2.79711i −0.110739 + 0.110739i
\(639\) 6.40126 15.4540i 0.253230 0.611351i
\(640\) −2.94840 1.22127i −0.116546 0.0482749i
\(641\) 9.27939 + 22.4024i 0.366514 + 0.884843i 0.994316 + 0.106470i \(0.0339547\pi\)
−0.627802 + 0.778373i \(0.716045\pi\)
\(642\) 4.41499i 0.174246i
\(643\) −9.12200 + 3.77846i −0.359737 + 0.149008i −0.555229 0.831697i \(-0.687369\pi\)
0.195492 + 0.980705i \(0.437369\pi\)
\(644\) 5.90017 + 5.90017i 0.232499 + 0.232499i
\(645\) 0.518125 0.0204011
\(646\) 11.3612 12.0155i 0.446999 0.472744i
\(647\) 0.0624048 0.00245338 0.00122669 0.999999i \(-0.499610\pi\)
0.00122669 + 0.999999i \(0.499610\pi\)
\(648\) −2.25437 2.25437i −0.0885599 0.0885599i
\(649\) 5.55623 2.30147i 0.218101 0.0903405i
\(650\) 27.5490i 1.08056i
\(651\) 2.70083 + 6.52039i 0.105854 + 0.255554i
\(652\) 11.9067 + 4.93193i 0.466303 + 0.193149i
\(653\) 10.1017 24.3876i 0.395309 0.954360i −0.593454 0.804868i \(-0.702236\pi\)
0.988763 0.149492i \(-0.0477639\pi\)
\(654\) 8.07535 8.07535i 0.315771 0.315771i
\(655\) 0.323364 0.323364i 0.0126349 0.0126349i
\(656\) 0.304862 0.736003i 0.0119029 0.0287361i
\(657\) −17.2792 7.15730i −0.674128 0.279233i
\(658\) −2.48299 5.99447i −0.0967971 0.233689i
\(659\) 33.6076i 1.30917i −0.755990 0.654583i \(-0.772844\pi\)
0.755990 0.654583i \(-0.227156\pi\)
\(660\) −0.798886 + 0.330909i −0.0310966 + 0.0128806i
\(661\) 8.46905 + 8.46905i 0.329408 + 0.329408i 0.852361 0.522953i \(-0.175170\pi\)
−0.522953 + 0.852361i \(0.675170\pi\)
\(662\) −1.37081 −0.0532781
\(663\) 9.40141 24.6242i 0.365120 0.956323i
\(664\) −5.47462 −0.212456
\(665\) 1.97892 + 1.97892i 0.0767392 + 0.0767392i
\(666\) −12.7547 + 5.28316i −0.494233 + 0.204718i
\(667\) 18.0863i 0.700306i
\(668\) 2.05104 + 4.95164i 0.0793570 + 0.191585i
\(669\) −6.36653 2.63710i −0.246144 0.101956i
\(670\) −1.56411 + 3.77611i −0.0604270 + 0.145884i
\(671\) −14.2785 + 14.2785i −0.551216 + 0.551216i
\(672\) 4.69837 4.69837i 0.181244 0.181244i
\(673\) 8.37785 20.2259i 0.322943 0.779652i −0.676138 0.736775i \(-0.736348\pi\)
0.999080 0.0428771i \(-0.0136524\pi\)
\(674\) 1.20770 + 0.500246i 0.0465189 + 0.0192688i
\(675\) −9.00326 21.7358i −0.346536 0.836611i
\(676\) 33.6850i 1.29558i
\(677\) −13.8298 + 5.72847i −0.531521 + 0.220163i −0.632269 0.774749i \(-0.717876\pi\)
0.100748 + 0.994912i \(0.467876\pi\)
\(678\) −4.11961 4.11961i −0.158213 0.158213i
\(679\) −3.10080 −0.118998
\(680\) −2.53044 5.65598i −0.0970378 0.216897i
\(681\) −6.05131 −0.231887
\(682\) 5.31465 + 5.31465i 0.203509 + 0.203509i
\(683\) −18.6315 + 7.71743i −0.712915 + 0.295299i −0.709510 0.704695i \(-0.751084\pi\)
−0.00340503 + 0.999994i \(0.501084\pi\)
\(684\) 10.5597i 0.403761i
\(685\) −2.58289 6.23564i −0.0986871 0.238252i
\(686\) 12.6673 + 5.24696i 0.483639 + 0.200330i
\(687\) 5.68505 13.7249i 0.216898 0.523639i
\(688\) −0.169659 + 0.169659i −0.00646819 + 0.00646819i
\(689\) −47.4819 + 47.4819i −1.80892 + 1.80892i
\(690\) −1.04759 + 2.52909i −0.0398809 + 0.0962810i
\(691\) −47.4912 19.6715i −1.80665 0.748339i −0.983598 0.180373i \(-0.942270\pi\)
−0.823052 0.567966i \(-0.807730\pi\)
\(692\) −3.15570 7.61854i −0.119962 0.289613i
\(693\) 3.44061i 0.130698i
\(694\) −3.46623 + 1.43576i −0.131576 + 0.0545006i
\(695\) 7.29630 + 7.29630i 0.276764 + 0.276764i
\(696\) −8.84350 −0.335212
\(697\) −12.4962 + 5.59069i −0.473327 + 0.211762i
\(698\) −18.5215 −0.701050
\(699\) −11.5220 11.5220i −0.435801 0.435801i
\(700\) −6.23934 + 2.58442i −0.235825 + 0.0976819i
\(701\) 3.32047i 0.125412i 0.998032 + 0.0627062i \(0.0199731\pi\)
−0.998032 + 0.0627062i \(0.980027\pi\)
\(702\) −11.0986 26.7944i −0.418889 1.01129i
\(703\) 31.0205 + 12.8491i 1.16996 + 0.484614i
\(704\) 2.96725 7.16357i 0.111832 0.269987i
\(705\) −2.17389 + 2.17389i −0.0818734 + 0.0818734i
\(706\) 16.7983 16.7983i 0.632211 0.632211i
\(707\) −6.79529 + 16.4053i −0.255563 + 0.616984i
\(708\) 4.61362 + 1.91102i 0.173390 + 0.0718207i
\(709\) 16.6060 + 40.0904i 0.623651 + 1.50563i 0.847387 + 0.530976i \(0.178175\pi\)
−0.223736 + 0.974650i \(0.571825\pi\)
\(710\) 3.92021i 0.147123i
\(711\) −4.13019 + 1.71078i −0.154894 + 0.0641593i
\(712\) 11.5470 + 11.5470i 0.432743 + 0.432743i
\(713\) −34.3650 −1.28698
\(714\) 4.47210 0.125178i 0.167364 0.00468467i
\(715\) 4.75058 0.177662
\(716\) −20.1368 20.1368i −0.752546 0.752546i
\(717\) 18.7573 7.76953i 0.700504 0.290158i
\(718\) 25.0310i 0.934149i
\(719\) 1.99490 + 4.81611i 0.0743972 + 0.179611i 0.956703 0.291066i \(-0.0940099\pi\)
−0.882306 + 0.470677i \(0.844010\pi\)
\(720\) −0.233267 0.0966223i −0.00869335 0.00360090i
\(721\) 1.44943 3.49923i 0.0539796 0.130318i
\(722\) −0.421038 + 0.421038i −0.0156694 + 0.0156694i
\(723\) −8.72644 + 8.72644i −0.324540 + 0.324540i
\(724\) 1.99608 4.81896i 0.0741837 0.179095i
\(725\) 13.5242 + 5.60189i 0.502275 + 0.208049i
\(726\) 3.09338 + 7.46807i 0.114806 + 0.277166i
\(727\) 20.9921i 0.778552i 0.921121 + 0.389276i \(0.127275\pi\)
−0.921121 + 0.389276i \(0.872725\pi\)
\(728\) −20.7083 + 8.57768i −0.767502 + 0.317910i
\(729\) −8.89722 8.89722i −0.329527 0.329527i
\(730\) −4.38322 −0.162230
\(731\) 4.12149 0.115364i 0.152439 0.00426690i
\(732\) −16.7672 −0.619732
\(733\) 5.33284 + 5.33284i 0.196973 + 0.196973i 0.798701 0.601728i \(-0.205521\pi\)
−0.601728 + 0.798701i \(0.705521\pi\)
\(734\) −14.1701 + 5.86944i −0.523027 + 0.216645i
\(735\) 2.86971i 0.105851i
\(736\) 12.3811 + 29.8907i 0.456375 + 1.10179i
\(737\) 11.2906 + 4.67671i 0.415894 + 0.172269i
\(738\) −2.31635 + 5.59217i −0.0852661 + 0.205851i
\(739\) 36.9764 36.9764i 1.36020 1.36020i 0.486543 0.873657i \(-0.338258\pi\)
0.873657 0.486543i \(-0.161742\pi\)
\(740\) 3.30422 3.30422i 0.121466 0.121466i
\(741\) −10.8467 + 26.1862i −0.398463 + 0.961976i
\(742\) −10.5300 4.36169i −0.386570 0.160123i
\(743\) 16.8760 + 40.7424i 0.619122 + 1.49469i 0.852725 + 0.522360i \(0.174948\pi\)
−0.233603 + 0.972332i \(0.575052\pi\)
\(744\) 16.8031i 0.616032i
\(745\) −10.6044 + 4.39249i −0.388516 + 0.160929i
\(746\) −9.62933 9.62933i −0.352555 0.352555i
\(747\) 3.83352 0.140261
\(748\) −6.28117 + 2.81014i −0.229662 + 0.102749i
\(749\) 5.94601 0.217263
\(750\) −3.22370 3.22370i −0.117713 0.117713i
\(751\) −5.61679 + 2.32655i −0.204960 + 0.0848970i −0.482802 0.875730i \(-0.660381\pi\)
0.277842 + 0.960627i \(0.410381\pi\)
\(752\) 1.42367i 0.0519160i
\(753\) 7.95751 + 19.2111i 0.289988 + 0.700092i
\(754\) 16.6716 + 6.90562i 0.607145 + 0.251488i
\(755\) 1.25062 3.01926i 0.0455147 0.109882i
\(756\) −5.02726 + 5.02726i −0.182840 + 0.182840i
\(757\) −23.6814 + 23.6814i −0.860716 + 0.860716i −0.991421 0.130706i \(-0.958276\pi\)
0.130706 + 0.991421i \(0.458276\pi\)
\(758\) 4.39537 10.6114i 0.159647 0.385422i
\(759\) 7.56200 + 3.13228i 0.274483 + 0.113695i
\(760\) 2.54985 + 6.15588i 0.0924928 + 0.223297i
\(761\) 15.2033i