Properties

Label 91.2.bc.a.41.4
Level $91$
Weight $2$
Character 91.41
Analytic conductor $0.727$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.bc (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 41.4
Character \(\chi\) \(=\) 91.41
Dual form 91.2.bc.a.20.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.892257 - 0.239080i) q^{2} +(0.988196 - 0.570535i) q^{3} +(-0.993087 - 0.573359i) q^{4} +(-2.80028 - 2.80028i) q^{5} +(-1.01813 + 0.272807i) q^{6} +(2.12815 - 1.57194i) q^{7} +(2.05537 + 2.05537i) q^{8} +(-0.848979 + 1.47047i) q^{9} +O(q^{10})\) \(q+(-0.892257 - 0.239080i) q^{2} +(0.988196 - 0.570535i) q^{3} +(-0.993087 - 0.573359i) q^{4} +(-2.80028 - 2.80028i) q^{5} +(-1.01813 + 0.272807i) q^{6} +(2.12815 - 1.57194i) q^{7} +(2.05537 + 2.05537i) q^{8} +(-0.848979 + 1.47047i) q^{9} +(1.82908 + 3.16806i) q^{10} +(0.544983 - 2.03390i) q^{11} -1.30849 q^{12} +(3.41094 - 1.16855i) q^{13} +(-2.27467 + 0.893776i) q^{14} +(-4.36489 - 1.16957i) q^{15} +(-0.195801 - 0.339138i) q^{16} +(-1.58621 + 2.74739i) q^{17} +(1.10907 - 1.10907i) q^{18} +(1.12791 - 0.302223i) q^{19} +(1.17536 + 4.38649i) q^{20} +(1.20618 - 2.76757i) q^{21} +(-0.972529 + 1.68447i) q^{22} +(3.26418 - 1.88457i) q^{23} +(3.20376 + 0.858446i) q^{24} +10.6832i q^{25} +(-3.32281 + 0.227159i) q^{26} +5.36070i q^{27} +(-3.01472 + 0.340878i) q^{28} +(-0.584891 - 1.01306i) q^{29} +(3.61498 + 2.08711i) q^{30} +(3.57780 + 3.57780i) q^{31} +(-1.41101 - 5.26595i) q^{32} +(-0.621864 - 2.32083i) q^{33} +(2.07215 - 2.07215i) q^{34} +(-10.3613 - 1.55754i) q^{35} +(1.68622 - 0.973539i) q^{36} +(1.14379 - 4.26868i) q^{37} -1.07864 q^{38} +(2.70398 - 3.10081i) q^{39} -11.5112i q^{40} +(1.85922 - 6.93869i) q^{41} +(-1.73789 + 2.18101i) q^{42} +(-1.91410 - 1.10511i) q^{43} +(-1.70737 + 1.70737i) q^{44} +(6.49513 - 1.74036i) q^{45} +(-3.36305 + 0.901126i) q^{46} +(-8.21804 + 8.21804i) q^{47} +(-0.386980 - 0.223423i) q^{48} +(2.05802 - 6.69063i) q^{49} +(2.55413 - 9.53214i) q^{50} +3.61995i q^{51} +(-4.05735 - 0.795223i) q^{52} +4.89260 q^{53} +(1.28163 - 4.78313i) q^{54} +(-7.22161 + 4.16940i) q^{55} +(7.60503 + 1.14321i) q^{56} +(0.942169 - 0.942169i) q^{57} +(0.279671 + 1.04375i) q^{58} +(0.0633920 + 0.236582i) q^{59} +(3.66413 + 3.66413i) q^{60} +(10.7114 + 6.18424i) q^{61} +(-2.33694 - 4.04770i) q^{62} +(0.504742 + 4.46393i) q^{63} +5.81913i q^{64} +(-12.8239 - 6.27933i) q^{65} +2.21945i q^{66} +(-9.95481 - 2.66738i) q^{67} +(3.15048 - 1.81893i) q^{68} +(2.15043 - 3.72465i) q^{69} +(8.87256 + 3.86690i) q^{70} +(1.60477 + 5.98907i) q^{71} +(-4.76733 + 1.27740i) q^{72} +(-3.47893 + 3.47893i) q^{73} +(-2.04111 + 3.53530i) q^{74} +(6.09513 + 10.5571i) q^{75} +(-1.29340 - 0.346564i) q^{76} +(-2.03737 - 5.18512i) q^{77} +(-3.15399 + 2.12026i) q^{78} -2.69680 q^{79} +(-0.401383 + 1.49798i) q^{80} +(0.511532 + 0.886000i) q^{81} +(-3.31780 + 5.74660i) q^{82} +(3.31162 + 3.31162i) q^{83} +(-2.78465 + 2.05686i) q^{84} +(12.1353 - 3.25165i) q^{85} +(1.44366 + 1.44366i) q^{86} +(-1.15597 - 0.667402i) q^{87} +(5.30055 - 3.06028i) q^{88} +(6.71890 + 1.80032i) q^{89} -6.21141 q^{90} +(5.42210 - 7.84862i) q^{91} -4.32215 q^{92} +(5.57683 + 1.49431i) q^{93} +(9.29737 - 5.36784i) q^{94} +(-4.00478 - 2.31216i) q^{95} +(-4.39876 - 4.39876i) q^{96} +(-15.8523 + 4.24762i) q^{97} +(-3.43588 + 5.47773i) q^{98} +(2.52812 + 2.52812i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 8q^{2} - 12q^{4} - 16q^{8} + 8q^{9} + O(q^{10}) \) \( 32q - 8q^{2} - 12q^{4} - 16q^{8} + 8q^{9} - 4q^{11} - 32q^{14} - 8q^{15} + 12q^{16} - 4q^{18} + 16q^{21} + 4q^{22} - 12q^{23} + 24q^{28} + 4q^{29} + 12q^{30} + 4q^{32} - 20q^{35} + 4q^{37} - 36q^{39} - 28q^{42} - 48q^{43} + 24q^{44} + 84q^{46} + 24q^{49} - 44q^{50} + 72q^{53} + 60q^{56} - 92q^{57} - 16q^{58} + 76q^{60} + 48q^{63} + 4q^{65} - 56q^{67} + 56q^{70} + 84q^{71} - 128q^{72} - 24q^{74} + 148q^{78} - 80q^{79} + 28q^{81} - 64q^{84} + 36q^{85} - 48q^{86} - 228q^{88} - 48q^{91} + 24q^{92} + 108q^{93} - 84q^{95} - 32q^{98} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{1}{12}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.892257 0.239080i −0.630921 0.169055i −0.0708335 0.997488i \(-0.522566\pi\)
−0.560088 + 0.828433i \(0.689233\pi\)
\(3\) 0.988196 0.570535i 0.570535 0.329399i −0.186828 0.982393i \(-0.559821\pi\)
0.757363 + 0.652994i \(0.226487\pi\)
\(4\) −0.993087 0.573359i −0.496543 0.286679i
\(5\) −2.80028 2.80028i −1.25232 1.25232i −0.954675 0.297649i \(-0.903797\pi\)
−0.297649 0.954675i \(-0.596203\pi\)
\(6\) −1.01813 + 0.272807i −0.415649 + 0.111373i
\(7\) 2.12815 1.57194i 0.804364 0.594137i
\(8\) 2.05537 + 2.05537i 0.726682 + 0.726682i
\(9\) −0.848979 + 1.47047i −0.282993 + 0.490158i
\(10\) 1.82908 + 3.16806i 0.578407 + 1.00183i
\(11\) 0.544983 2.03390i 0.164318 0.613245i −0.833808 0.552055i \(-0.813844\pi\)
0.998126 0.0611898i \(-0.0194895\pi\)
\(12\) −1.30849 −0.377727
\(13\) 3.41094 1.16855i 0.946024 0.324097i
\(14\) −2.27467 + 0.893776i −0.607932 + 0.238872i
\(15\) −4.36489 1.16957i −1.12701 0.301981i
\(16\) −0.195801 0.339138i −0.0489503 0.0847845i
\(17\) −1.58621 + 2.74739i −0.384712 + 0.666341i −0.991729 0.128348i \(-0.959033\pi\)
0.607017 + 0.794689i \(0.292366\pi\)
\(18\) 1.10907 1.10907i 0.261410 0.261410i
\(19\) 1.12791 0.302223i 0.258761 0.0693347i −0.127106 0.991889i \(-0.540569\pi\)
0.385867 + 0.922554i \(0.373902\pi\)
\(20\) 1.17536 + 4.38649i 0.262818 + 0.980849i
\(21\) 1.20618 2.76757i 0.263210 0.603932i
\(22\) −0.972529 + 1.68447i −0.207344 + 0.359130i
\(23\) 3.26418 1.88457i 0.680628 0.392961i −0.119464 0.992839i \(-0.538118\pi\)
0.800092 + 0.599878i \(0.204784\pi\)
\(24\) 3.20376 + 0.858446i 0.653965 + 0.175230i
\(25\) 10.6832i 2.13663i
\(26\) −3.32281 + 0.227159i −0.651657 + 0.0445496i
\(27\) 5.36070i 1.03167i
\(28\) −3.01472 + 0.340878i −0.569728 + 0.0644199i
\(29\) −0.584891 1.01306i −0.108612 0.188121i 0.806596 0.591102i \(-0.201307\pi\)
−0.915208 + 0.402982i \(0.867974\pi\)
\(30\) 3.61498 + 2.08711i 0.660003 + 0.381053i
\(31\) 3.57780 + 3.57780i 0.642591 + 0.642591i 0.951192 0.308600i \(-0.0998605\pi\)
−0.308600 + 0.951192i \(0.599861\pi\)
\(32\) −1.41101 5.26595i −0.249433 0.930898i
\(33\) −0.621864 2.32083i −0.108253 0.404004i
\(34\) 2.07215 2.07215i 0.355371 0.355371i
\(35\) −10.3613 1.55754i −1.75138 0.263273i
\(36\) 1.68622 0.973539i 0.281037 0.162257i
\(37\) 1.14379 4.26868i 0.188038 0.701766i −0.805922 0.592022i \(-0.798330\pi\)
0.993960 0.109745i \(-0.0350033\pi\)
\(38\) −1.07864 −0.174979
\(39\) 2.70398 3.10081i 0.432983 0.496528i
\(40\) 11.5112i 1.82008i
\(41\) 1.85922 6.93869i 0.290361 1.08364i −0.654472 0.756087i \(-0.727109\pi\)
0.944832 0.327555i \(-0.106225\pi\)
\(42\) −1.73789 + 2.18101i −0.268163 + 0.336537i
\(43\) −1.91410 1.10511i −0.291897 0.168527i 0.346900 0.937902i \(-0.387234\pi\)
−0.638797 + 0.769375i \(0.720568\pi\)
\(44\) −1.70737 + 1.70737i −0.257396 + 0.257396i
\(45\) 6.49513 1.74036i 0.968236 0.259438i
\(46\) −3.36305 + 0.901126i −0.495854 + 0.132864i
\(47\) −8.21804 + 8.21804i −1.19872 + 1.19872i −0.224176 + 0.974549i \(0.571969\pi\)
−0.974549 + 0.224176i \(0.928031\pi\)
\(48\) −0.386980 0.223423i −0.0558558 0.0322484i
\(49\) 2.05802 6.69063i 0.294003 0.955804i
\(50\) 2.55413 9.53214i 0.361208 1.34805i
\(51\) 3.61995i 0.506894i
\(52\) −4.05735 0.795223i −0.562654 0.110278i
\(53\) 4.89260 0.672050 0.336025 0.941853i \(-0.390917\pi\)
0.336025 + 0.941853i \(0.390917\pi\)
\(54\) 1.28163 4.78313i 0.174408 0.650901i
\(55\) −7.22161 + 4.16940i −0.973762 + 0.562202i
\(56\) 7.60503 + 1.14321i 1.01626 + 0.152768i
\(57\) 0.942169 0.942169i 0.124793 0.124793i
\(58\) 0.279671 + 1.04375i 0.0367226 + 0.137051i
\(59\) 0.0633920 + 0.236582i 0.00825293 + 0.0308004i 0.969930 0.243386i \(-0.0782582\pi\)
−0.961677 + 0.274186i \(0.911591\pi\)
\(60\) 3.66413 + 3.66413i 0.473037 + 0.473037i
\(61\) 10.7114 + 6.18424i 1.37146 + 0.791811i 0.991111 0.133034i \(-0.0424719\pi\)
0.380345 + 0.924845i \(0.375805\pi\)
\(62\) −2.33694 4.04770i −0.296791 0.514058i
\(63\) 0.504742 + 4.46393i 0.0635915 + 0.562402i
\(64\) 5.81913i 0.727392i
\(65\) −12.8239 6.27933i −1.59060 0.778855i
\(66\) 2.21945i 0.273195i
\(67\) −9.95481 2.66738i −1.21617 0.325873i −0.406992 0.913432i \(-0.633422\pi\)
−0.809182 + 0.587559i \(0.800089\pi\)
\(68\) 3.15048 1.81893i 0.382052 0.220578i
\(69\) 2.15043 3.72465i 0.258881 0.448396i
\(70\) 8.87256 + 3.86690i 1.06047 + 0.462183i
\(71\) 1.60477 + 5.98907i 0.190451 + 0.710772i 0.993398 + 0.114722i \(0.0365976\pi\)
−0.802947 + 0.596051i \(0.796736\pi\)
\(72\) −4.76733 + 1.27740i −0.561835 + 0.150543i
\(73\) −3.47893 + 3.47893i −0.407178 + 0.407178i −0.880753 0.473575i \(-0.842963\pi\)
0.473575 + 0.880753i \(0.342963\pi\)
\(74\) −2.04111 + 3.53530i −0.237274 + 0.410971i
\(75\) 6.09513 + 10.5571i 0.703804 + 1.21903i
\(76\) −1.29340 0.346564i −0.148363 0.0397537i
\(77\) −2.03737 5.18512i −0.232179 0.590900i
\(78\) −3.15399 + 2.12026i −0.357119 + 0.240072i
\(79\) −2.69680 −0.303413 −0.151707 0.988426i \(-0.548477\pi\)
−0.151707 + 0.988426i \(0.548477\pi\)
\(80\) −0.401383 + 1.49798i −0.0448760 + 0.167479i
\(81\) 0.511532 + 0.886000i 0.0568369 + 0.0984444i
\(82\) −3.31780 + 5.74660i −0.366390 + 0.634605i
\(83\) 3.31162 + 3.31162i 0.363497 + 0.363497i 0.865099 0.501602i \(-0.167256\pi\)
−0.501602 + 0.865099i \(0.667256\pi\)
\(84\) −2.78465 + 2.05686i −0.303830 + 0.224422i
\(85\) 12.1353 3.25165i 1.31626 0.352691i
\(86\) 1.44366 + 1.44366i 0.155674 + 0.155674i
\(87\) −1.15597 0.667402i −0.123933 0.0715530i
\(88\) 5.30055 3.06028i 0.565041 0.326226i
\(89\) 6.71890 + 1.80032i 0.712202 + 0.190834i 0.596690 0.802472i \(-0.296482\pi\)
0.115512 + 0.993306i \(0.463149\pi\)
\(90\) −6.21141 −0.654740
\(91\) 5.42210 7.84862i 0.568390 0.822759i
\(92\) −4.32215 −0.450615
\(93\) 5.57683 + 1.49431i 0.578290 + 0.154952i
\(94\) 9.29737 5.36784i 0.958951 0.553651i
\(95\) −4.00478 2.31216i −0.410882 0.237223i
\(96\) −4.39876 4.39876i −0.448947 0.448947i
\(97\) −15.8523 + 4.24762i −1.60956 + 0.431280i −0.947912 0.318533i \(-0.896810\pi\)
−0.661649 + 0.749814i \(0.730143\pi\)
\(98\) −3.43588 + 5.47773i −0.347076 + 0.553335i
\(99\) 2.52812 + 2.52812i 0.254086 + 0.254086i
\(100\) 6.12529 10.6093i 0.612529 1.06093i
\(101\) −1.81015 3.13527i −0.180116 0.311971i 0.761804 0.647808i \(-0.224314\pi\)
−0.941920 + 0.335837i \(0.890981\pi\)
\(102\) 0.865456 3.22993i 0.0856930 0.319810i
\(103\) −1.59074 −0.156740 −0.0783700 0.996924i \(-0.524972\pi\)
−0.0783700 + 0.996924i \(0.524972\pi\)
\(104\) 9.41252 + 4.60893i 0.922973 + 0.451943i
\(105\) −11.1276 + 4.37232i −1.08594 + 0.426695i
\(106\) −4.36545 1.16972i −0.424010 0.113613i
\(107\) 7.44322 + 12.8920i 0.719563 + 1.24632i 0.961173 + 0.275946i \(0.0889911\pi\)
−0.241610 + 0.970373i \(0.577676\pi\)
\(108\) 3.07361 5.32364i 0.295758 0.512268i
\(109\) −2.37380 + 2.37380i −0.227368 + 0.227368i −0.811592 0.584224i \(-0.801399\pi\)
0.584224 + 0.811592i \(0.301399\pi\)
\(110\) 7.44035 1.99364i 0.709410 0.190086i
\(111\) −1.30514 4.87086i −0.123879 0.462322i
\(112\) −0.949798 0.413948i −0.0897474 0.0391144i
\(113\) −4.88202 + 8.45591i −0.459262 + 0.795465i −0.998922 0.0464177i \(-0.985219\pi\)
0.539660 + 0.841883i \(0.318553\pi\)
\(114\) −1.06591 + 0.615404i −0.0998317 + 0.0576378i
\(115\) −14.4180 3.86328i −1.34448 0.360253i
\(116\) 1.34141i 0.124547i
\(117\) −1.17750 + 6.00777i −0.108859 + 0.555419i
\(118\) 0.226248i 0.0208278i
\(119\) 0.943046 + 8.34028i 0.0864489 + 0.764552i
\(120\) −6.56755 11.3753i −0.599533 1.03842i
\(121\) 5.68652 + 3.28312i 0.516957 + 0.298465i
\(122\) −8.07881 8.07881i −0.731422 0.731422i
\(123\) −2.12150 7.91753i −0.191289 0.713900i
\(124\) −1.50170 5.60443i −0.134857 0.503292i
\(125\) 15.9145 15.9145i 1.42343 1.42343i
\(126\) 0.616875 4.10365i 0.0549556 0.365582i
\(127\) −6.81869 + 3.93677i −0.605061 + 0.349332i −0.771030 0.636799i \(-0.780258\pi\)
0.165969 + 0.986131i \(0.446925\pi\)
\(128\) −1.43078 + 5.33974i −0.126464 + 0.471971i
\(129\) −2.52201 −0.222050
\(130\) 9.94092 + 8.66870i 0.871876 + 0.760295i
\(131\) 2.11827i 0.185074i 0.995709 + 0.0925369i \(0.0294976\pi\)
−0.995709 + 0.0925369i \(0.970502\pi\)
\(132\) −0.713102 + 2.66133i −0.0620676 + 0.231639i
\(133\) 1.92529 2.41618i 0.166943 0.209510i
\(134\) 8.24454 + 4.75999i 0.712220 + 0.411200i
\(135\) 15.0115 15.0115i 1.29198 1.29198i
\(136\) −8.90714 + 2.38666i −0.763781 + 0.204654i
\(137\) 11.2878 3.02455i 0.964380 0.258405i 0.257927 0.966164i \(-0.416961\pi\)
0.706453 + 0.707760i \(0.250294\pi\)
\(138\) −2.80923 + 2.80923i −0.239137 + 0.239137i
\(139\) −3.88166 2.24108i −0.329238 0.190086i 0.326265 0.945278i \(-0.394210\pi\)
−0.655503 + 0.755193i \(0.727543\pi\)
\(140\) 9.39662 + 7.48751i 0.794160 + 0.632810i
\(141\) −3.43235 + 12.8097i −0.289056 + 1.07877i
\(142\) 5.72746i 0.480638i
\(143\) −0.517810 7.57435i −0.0433014 0.633399i
\(144\) 0.664925 0.0554104
\(145\) −1.19900 + 4.47472i −0.0995713 + 0.371605i
\(146\) 3.93584 2.27236i 0.325733 0.188062i
\(147\) −1.78351 7.78583i −0.147101 0.642164i
\(148\) −3.58337 + 3.58337i −0.294551 + 0.294551i
\(149\) 1.17909 + 4.40044i 0.0965951 + 0.360498i 0.997256 0.0740238i \(-0.0235841\pi\)
−0.900661 + 0.434522i \(0.856917\pi\)
\(150\) −2.91444 10.8768i −0.237963 0.888090i
\(151\) −10.7103 10.7103i −0.871595 0.871595i 0.121051 0.992646i \(-0.461373\pi\)
−0.992646 + 0.121051i \(0.961373\pi\)
\(152\) 2.93945 + 1.69709i 0.238421 + 0.137652i
\(153\) −2.69331 4.66496i −0.217742 0.377140i
\(154\) 0.578197 + 5.11356i 0.0465924 + 0.412062i
\(155\) 20.0377i 1.60947i
\(156\) −4.46316 + 1.52903i −0.357339 + 0.122420i
\(157\) 13.9799i 1.11572i −0.829936 0.557858i \(-0.811623\pi\)
0.829936 0.557858i \(-0.188377\pi\)
\(158\) 2.40624 + 0.644749i 0.191430 + 0.0512935i
\(159\) 4.83484 2.79140i 0.383428 0.221372i
\(160\) −10.7949 + 18.6974i −0.853415 + 1.47816i
\(161\) 3.98422 9.14173i 0.314000 0.720469i
\(162\) −0.244594 0.912837i −0.0192171 0.0717192i
\(163\) −22.5398 + 6.03953i −1.76546 + 0.473052i −0.987812 0.155653i \(-0.950252\pi\)
−0.777644 + 0.628705i \(0.783585\pi\)
\(164\) −5.82472 + 5.82472i −0.454834 + 0.454834i
\(165\) −4.75758 + 8.24037i −0.370377 + 0.641512i
\(166\) −2.16307 3.74655i −0.167887 0.290789i
\(167\) 10.8156 + 2.89803i 0.836935 + 0.224256i 0.651737 0.758445i \(-0.274041\pi\)
0.185198 + 0.982701i \(0.440707\pi\)
\(168\) 8.16750 3.20922i 0.630137 0.247596i
\(169\) 10.2690 7.97168i 0.789923 0.613207i
\(170\) −11.6052 −0.890080
\(171\) −0.513162 + 1.91515i −0.0392425 + 0.146455i
\(172\) 1.26724 + 2.19493i 0.0966264 + 0.167362i
\(173\) −1.66428 + 2.88262i −0.126533 + 0.219162i −0.922331 0.386400i \(-0.873718\pi\)
0.795798 + 0.605562i \(0.207052\pi\)
\(174\) 0.871864 + 0.871864i 0.0660959 + 0.0660959i
\(175\) 16.7933 + 22.7354i 1.26945 + 1.71863i
\(176\) −0.796482 + 0.213417i −0.0600371 + 0.0160869i
\(177\) 0.197622 + 0.197622i 0.0148542 + 0.0148542i
\(178\) −5.56457 3.21270i −0.417082 0.240802i
\(179\) −0.221300 + 0.127768i −0.0165407 + 0.00954980i −0.508248 0.861211i \(-0.669707\pi\)
0.491707 + 0.870761i \(0.336373\pi\)
\(180\) −7.44808 1.99571i −0.555147 0.148751i
\(181\) 7.65115 0.568705 0.284353 0.958720i \(-0.408221\pi\)
0.284353 + 0.958720i \(0.408221\pi\)
\(182\) −6.71435 + 5.70668i −0.497701 + 0.423007i
\(183\) 14.1133 1.04329
\(184\) 10.5826 + 2.83559i 0.780157 + 0.209042i
\(185\) −15.1564 + 8.75057i −1.11432 + 0.643355i
\(186\) −4.61871 2.66661i −0.338660 0.195525i
\(187\) 4.72347 + 4.72347i 0.345415 + 0.345415i
\(188\) 12.8731 3.44934i 0.938868 0.251569i
\(189\) 8.42669 + 11.4084i 0.612951 + 0.829836i
\(190\) 3.02050 + 3.02050i 0.219130 + 0.219130i
\(191\) 7.25535 12.5666i 0.524978 0.909289i −0.474599 0.880202i \(-0.657407\pi\)
0.999577 0.0290868i \(-0.00925993\pi\)
\(192\) 3.32002 + 5.75045i 0.239602 + 0.415003i
\(193\) 2.08340 7.77536i 0.149966 0.559682i −0.849518 0.527560i \(-0.823107\pi\)
0.999484 0.0321220i \(-0.0102265\pi\)
\(194\) 15.1599 1.08842
\(195\) −16.2551 + 1.11125i −1.16405 + 0.0795785i
\(196\) −5.87993 + 5.46439i −0.419995 + 0.390314i
\(197\) 6.28115 + 1.68303i 0.447514 + 0.119911i 0.475536 0.879696i \(-0.342254\pi\)
−0.0280221 + 0.999607i \(0.508921\pi\)
\(198\) −1.65131 2.86016i −0.117354 0.203263i
\(199\) 3.53990 6.13129i 0.250937 0.434636i −0.712847 0.701320i \(-0.752595\pi\)
0.963784 + 0.266684i \(0.0859280\pi\)
\(200\) −21.9578 + 21.9578i −1.55265 + 1.55265i
\(201\) −11.3591 + 3.04367i −0.801212 + 0.214684i
\(202\) 0.865539 + 3.23023i 0.0608991 + 0.227279i
\(203\) −2.83720 1.23653i −0.199133 0.0867875i
\(204\) 2.07553 3.59493i 0.145316 0.251695i
\(205\) −24.6366 + 14.2240i −1.72070 + 0.993445i
\(206\) 1.41935 + 0.380313i 0.0988906 + 0.0264977i
\(207\) 6.39985i 0.444820i
\(208\) −1.06416 0.927975i −0.0737866 0.0643435i
\(209\) 2.45877i 0.170077i
\(210\) 10.9740 1.24085i 0.757280 0.0856266i
\(211\) −3.81923 6.61509i −0.262926 0.455402i 0.704092 0.710109i \(-0.251354\pi\)
−0.967018 + 0.254707i \(0.918021\pi\)
\(212\) −4.85877 2.80521i −0.333702 0.192663i
\(213\) 5.00280 + 5.00280i 0.342786 + 0.342786i
\(214\) −3.55904 13.2825i −0.243291 0.907975i
\(215\) 2.26541 + 8.45462i 0.154500 + 0.576601i
\(216\) −11.0182 + 11.0182i −0.749694 + 0.749694i
\(217\) 13.2382 + 1.99001i 0.898665 + 0.135090i
\(218\) 2.68556 1.55051i 0.181889 0.105014i
\(219\) −1.45301 + 5.42272i −0.0981855 + 0.366433i
\(220\) 9.56225 0.644686
\(221\) −2.20000 + 11.2247i −0.147988 + 0.755058i
\(222\) 4.65810i 0.312631i
\(223\) 1.74359 6.50716i 0.116759 0.435752i −0.882653 0.470025i \(-0.844245\pi\)
0.999413 + 0.0342732i \(0.0109116\pi\)
\(224\) −11.2806 8.98871i −0.753716 0.600583i
\(225\) −15.7093 9.06979i −1.04729 0.604652i
\(226\) 6.37766 6.37766i 0.424235 0.424235i
\(227\) 15.6325 4.18872i 1.03757 0.278015i 0.300462 0.953794i \(-0.402859\pi\)
0.737105 + 0.675778i \(0.236192\pi\)
\(228\) −1.47586 + 0.395455i −0.0977410 + 0.0261896i
\(229\) 13.8720 13.8720i 0.916689 0.916689i −0.0800979 0.996787i \(-0.525523\pi\)
0.996787 + 0.0800979i \(0.0255233\pi\)
\(230\) 11.9409 + 6.89408i 0.787359 + 0.454582i
\(231\) −4.97161 3.96153i −0.327108 0.260650i
\(232\) 0.880046 3.28438i 0.0577778 0.215630i
\(233\) 11.1033i 0.727402i −0.931516 0.363701i \(-0.881513\pi\)
0.931516 0.363701i \(-0.118487\pi\)
\(234\) 2.48696 5.07896i 0.162578 0.332022i
\(235\) 46.0257 3.00238
\(236\) 0.0726927 0.271293i 0.00473189 0.0176597i
\(237\) −2.66496 + 1.53862i −0.173108 + 0.0999439i
\(238\) 1.15255 7.66714i 0.0747088 0.496987i
\(239\) −18.0241 + 18.0241i −1.16588 + 1.16588i −0.182716 + 0.983166i \(0.558489\pi\)
−0.983166 + 0.182716i \(0.941511\pi\)
\(240\) 0.458006 + 1.70930i 0.0295642 + 0.110335i
\(241\) 6.58419 + 24.5725i 0.424125 + 1.58286i 0.765826 + 0.643048i \(0.222330\pi\)
−0.341701 + 0.939809i \(0.611003\pi\)
\(242\) −4.28892 4.28892i −0.275702 0.275702i
\(243\) −12.9165 7.45736i −0.828595 0.478390i
\(244\) −7.09158 12.2830i −0.453992 0.786337i
\(245\) −24.4987 + 12.9726i −1.56517 + 0.828790i
\(246\) 7.57168i 0.482753i
\(247\) 3.49407 2.34888i 0.222323 0.149456i
\(248\) 14.7074i 0.933919i
\(249\) 5.16192 + 1.38313i 0.327123 + 0.0876524i
\(250\) −18.0046 + 10.3950i −1.13871 + 0.657437i
\(251\) 3.01219 5.21727i 0.190128 0.329311i −0.755165 0.655535i \(-0.772443\pi\)
0.945292 + 0.326224i \(0.105776\pi\)
\(252\) 2.05818 4.72247i 0.129653 0.297487i
\(253\) −2.05412 7.66608i −0.129141 0.481962i
\(254\) 7.02523 1.88240i 0.440802 0.118113i
\(255\) 10.1369 10.1369i 0.634796 0.634796i
\(256\) 8.37238 14.5014i 0.523274 0.906337i
\(257\) −12.2067 21.1426i −0.761434 1.31884i −0.942112 0.335300i \(-0.891162\pi\)
0.180678 0.983542i \(-0.442171\pi\)
\(258\) 2.25028 + 0.602960i 0.140096 + 0.0375387i
\(259\) −4.27595 10.8823i −0.265694 0.676196i
\(260\) 9.13489 + 13.5886i 0.566522 + 0.842728i
\(261\) 1.98624 0.122945
\(262\) 0.506434 1.89004i 0.0312876 0.116767i
\(263\) 7.57042 + 13.1123i 0.466812 + 0.808542i 0.999281 0.0379074i \(-0.0120692\pi\)
−0.532469 + 0.846449i \(0.678736\pi\)
\(264\) 3.49199 6.04831i 0.214917 0.372247i
\(265\) −13.7007 13.7007i −0.841624 0.841624i
\(266\) −2.29551 + 1.69556i −0.140747 + 0.103961i
\(267\) 7.66674 2.05430i 0.469197 0.125721i
\(268\) 8.35662 + 8.35662i 0.510462 + 0.510462i
\(269\) −3.06678 1.77061i −0.186985 0.107956i 0.403585 0.914942i \(-0.367764\pi\)
−0.590570 + 0.806986i \(0.701097\pi\)
\(270\) −16.9830 + 9.80516i −1.03356 + 0.596723i
\(271\) 0.730396 + 0.195709i 0.0443684 + 0.0118885i 0.280935 0.959727i \(-0.409355\pi\)
−0.236567 + 0.971615i \(0.576022\pi\)
\(272\) 1.24233 0.0753271
\(273\) 0.880177 10.8495i 0.0532707 0.656640i
\(274\) −10.7947 −0.652133
\(275\) 21.7285 + 5.82214i 1.31028 + 0.351088i
\(276\) −4.27113 + 2.46594i −0.257092 + 0.148432i
\(277\) −9.03071 5.21388i −0.542603 0.313272i 0.203530 0.979069i \(-0.434758\pi\)
−0.746133 + 0.665797i \(0.768092\pi\)
\(278\) 2.92764 + 2.92764i 0.175588 + 0.175588i
\(279\) −8.29854 + 2.22359i −0.496820 + 0.133123i
\(280\) −18.0949 24.4976i −1.08138 1.46401i
\(281\) −18.1394 18.1394i −1.08211 1.08211i −0.996313 0.0857959i \(-0.972657\pi\)
−0.0857959 0.996313i \(-0.527343\pi\)
\(282\) 6.12509 10.6090i 0.364744 0.631754i
\(283\) −0.0246100 0.0426257i −0.00146291 0.00253383i 0.865293 0.501266i \(-0.167132\pi\)
−0.866756 + 0.498733i \(0.833799\pi\)
\(284\) 1.84022 6.86778i 0.109197 0.407528i
\(285\) −5.27668 −0.312563
\(286\) −1.34885 + 6.88207i −0.0797594 + 0.406945i
\(287\) −6.95050 17.6891i −0.410275 1.04416i
\(288\) 8.94137 + 2.39583i 0.526875 + 0.141176i
\(289\) 3.46789 + 6.00656i 0.203993 + 0.353327i
\(290\) 2.13963 3.70594i 0.125643 0.217621i
\(291\) −13.2418 + 13.2418i −0.776248 + 0.776248i
\(292\) 5.44956 1.46020i 0.318911 0.0854520i
\(293\) −4.26864 15.9308i −0.249377 0.930686i −0.971133 0.238539i \(-0.923332\pi\)
0.721756 0.692147i \(-0.243335\pi\)
\(294\) −0.270083 + 7.37336i −0.0157516 + 0.430023i
\(295\) 0.484981 0.840012i 0.0282367 0.0489074i
\(296\) 11.1246 6.42279i 0.646604 0.373317i
\(297\) 10.9031 + 2.92149i 0.632665 + 0.169522i
\(298\) 4.20822i 0.243776i
\(299\) 8.93169 10.2425i 0.516533 0.592339i
\(300\) 13.9788i 0.807065i
\(301\) −5.81064 + 0.657016i −0.334920 + 0.0378698i
\(302\) 6.99575 + 12.1170i 0.402560 + 0.697255i
\(303\) −3.57756 2.06551i −0.205526 0.118660i
\(304\) −0.323342 0.323342i −0.0185449 0.0185449i
\(305\) −12.6774 47.3126i −0.725905 2.70911i
\(306\) 1.28783 + 4.80626i 0.0736205 + 0.274756i
\(307\) −13.8117 + 13.8117i −0.788274 + 0.788274i −0.981211 0.192937i \(-0.938199\pi\)
0.192937 + 0.981211i \(0.438199\pi\)
\(308\) −0.949657 + 6.31742i −0.0541117 + 0.359968i
\(309\) −1.57196 + 0.907572i −0.0894257 + 0.0516300i
\(310\) −4.79060 + 17.8788i −0.272088 + 1.01545i
\(311\) −4.51112 −0.255802 −0.127901 0.991787i \(-0.540824\pi\)
−0.127901 + 0.991787i \(0.540824\pi\)
\(312\) 11.9310 0.815644i 0.675458 0.0461767i
\(313\) 30.9864i 1.75146i 0.482805 + 0.875728i \(0.339618\pi\)
−0.482805 + 0.875728i \(0.660382\pi\)
\(314\) −3.34231 + 12.4737i −0.188617 + 0.703929i
\(315\) 11.0868 13.9137i 0.624673 0.783947i
\(316\) 2.67815 + 1.54623i 0.150658 + 0.0869823i
\(317\) 4.33447 4.33447i 0.243448 0.243448i −0.574827 0.818275i \(-0.694931\pi\)
0.818275 + 0.574827i \(0.194931\pi\)
\(318\) −4.98129 + 1.33473i −0.279337 + 0.0748481i
\(319\) −2.37922 + 0.637511i −0.133211 + 0.0356938i
\(320\) 16.2952 16.2952i 0.910931 0.910931i
\(321\) 14.7107 + 8.49323i 0.821072 + 0.474046i
\(322\) −5.74055 + 7.20423i −0.319908 + 0.401476i
\(323\) −0.958777 + 3.57820i −0.0533478 + 0.199097i
\(324\) 1.17317i 0.0651759i
\(325\) 12.4838 + 36.4396i 0.692476 + 2.02131i
\(326\) 21.5553 1.19384
\(327\) −0.991442 + 3.70011i −0.0548268 + 0.204617i
\(328\) 18.0829 10.4402i 0.998462 0.576462i
\(329\) −4.57095 + 30.4075i −0.252005 + 1.67642i
\(330\) 6.21509 6.21509i 0.342129 0.342129i
\(331\) 4.32723 + 16.1494i 0.237846 + 0.887653i 0.976845 + 0.213947i \(0.0686319\pi\)
−0.739000 + 0.673706i \(0.764701\pi\)
\(332\) −1.38998 5.18747i −0.0762849 0.284699i
\(333\) 5.30593 + 5.30593i 0.290763 + 0.290763i
\(334\) −8.95743 5.17157i −0.490129 0.282976i
\(335\) 20.4069 + 35.3457i 1.11495 + 1.93114i
\(336\) −1.17476 + 0.132831i −0.0640883 + 0.00724655i
\(337\) 12.4651i 0.679017i 0.940603 + 0.339508i \(0.110261\pi\)
−0.940603 + 0.339508i \(0.889739\pi\)
\(338\) −11.0685 + 4.65769i −0.602044 + 0.253345i
\(339\) 11.1415i 0.605121i
\(340\) −13.9158 3.72872i −0.754689 0.202218i
\(341\) 9.22673 5.32706i 0.499656 0.288476i
\(342\) 0.915745 1.58612i 0.0495178 0.0857674i
\(343\) −6.13748 17.4737i −0.331393 0.943493i
\(344\) −1.66278 6.20557i −0.0896509 0.334582i
\(345\) −16.4519 + 4.40827i −0.885741 + 0.237333i
\(346\) 2.17414 2.17414i 0.116883 0.116883i
\(347\) −13.1263 + 22.7355i −0.704659 + 1.22050i 0.262156 + 0.965026i \(0.415566\pi\)
−0.966815 + 0.255479i \(0.917767\pi\)
\(348\) 0.765322 + 1.32558i 0.0410256 + 0.0710583i
\(349\) −7.06951 1.89427i −0.378422 0.101398i 0.0645937 0.997912i \(-0.479425\pi\)
−0.443016 + 0.896514i \(0.646092\pi\)
\(350\) −9.54836 24.3007i −0.510381 1.29893i
\(351\) 6.26423 + 18.2850i 0.334360 + 0.975982i
\(352\) −11.4794 −0.611855
\(353\) −7.05491 + 26.3293i −0.375495 + 1.40137i 0.477126 + 0.878835i \(0.341679\pi\)
−0.852621 + 0.522530i \(0.824988\pi\)
\(354\) −0.129082 0.223577i −0.00686065 0.0118830i
\(355\) 12.2773 21.2649i 0.651611 1.12862i
\(356\) −5.64022 5.64022i −0.298931 0.298931i
\(357\) 5.69034 + 7.70379i 0.301165 + 0.407728i
\(358\) 0.228003 0.0610933i 0.0120503 0.00322888i
\(359\) −21.9668 21.9668i −1.15936 1.15936i −0.984613 0.174749i \(-0.944089\pi\)
−0.174749 0.984613i \(-0.555911\pi\)
\(360\) 16.9269 + 9.77278i 0.892128 + 0.515071i
\(361\) −15.2736 + 8.81824i −0.803876 + 0.464118i
\(362\) −6.82679 1.82923i −0.358808 0.0961424i
\(363\) 7.49254 0.393256
\(364\) −9.88469 + 4.68556i −0.518098 + 0.245590i
\(365\) 19.4840 1.01984
\(366\) −12.5927 3.37420i −0.658231 0.176372i
\(367\) 21.7629 12.5648i 1.13601 0.655877i 0.190573 0.981673i \(-0.438965\pi\)
0.945440 + 0.325796i \(0.105632\pi\)
\(368\) −1.27826 0.738004i −0.0666339 0.0384711i
\(369\) 8.62473 + 8.62473i 0.448986 + 0.448986i
\(370\) 15.6155 4.18417i 0.811813 0.217525i
\(371\) 10.4122 7.69085i 0.540573 0.399289i
\(372\) −4.68150 4.68150i −0.242724 0.242724i
\(373\) 1.55410 2.69178i 0.0804683 0.139375i −0.822983 0.568066i \(-0.807692\pi\)
0.903451 + 0.428691i \(0.141025\pi\)
\(374\) −3.08527 5.34384i −0.159535 0.276323i
\(375\) 6.64686 24.8064i 0.343242 1.28100i
\(376\) −33.7822 −1.74218
\(377\) −3.17884 2.77202i −0.163718 0.142766i
\(378\) −4.79127 12.1938i −0.246436 0.627184i
\(379\) −4.35536 1.16702i −0.223720 0.0599456i 0.145218 0.989400i \(-0.453612\pi\)
−0.368938 + 0.929454i \(0.620278\pi\)
\(380\) 2.65140 + 4.59235i 0.136014 + 0.235583i
\(381\) −4.49213 + 7.78060i −0.230139 + 0.398612i
\(382\) −9.47806 + 9.47806i −0.484940 + 0.484940i
\(383\) −32.4681 + 8.69980i −1.65904 + 0.444539i −0.962124 0.272611i \(-0.912113\pi\)
−0.696919 + 0.717150i \(0.745446\pi\)
\(384\) 1.63262 + 6.09302i 0.0833143 + 0.310933i
\(385\) −8.81462 + 20.2250i −0.449234 + 1.03076i
\(386\) −3.71786 + 6.43952i −0.189234 + 0.327763i
\(387\) 3.25006 1.87642i 0.165210 0.0953839i
\(388\) 18.1782 + 4.87082i 0.922856 + 0.247278i
\(389\) 20.6622i 1.04762i 0.851836 + 0.523809i \(0.175489\pi\)
−0.851836 + 0.523809i \(0.824511\pi\)
\(390\) 14.7694 + 2.89473i 0.747876 + 0.146580i
\(391\) 11.9573i 0.604707i
\(392\) 17.9817 9.52170i 0.908212 0.480919i
\(393\) 1.20855 + 2.09326i 0.0609631 + 0.105591i
\(394\) −5.20203 3.00339i −0.262074 0.151309i
\(395\) 7.55179 + 7.55179i 0.379972 + 0.379972i
\(396\) −1.06112 3.96017i −0.0533235 0.199006i
\(397\) −1.90237 7.09973i −0.0954771 0.356325i 0.901614 0.432541i \(-0.142383\pi\)
−0.997091 + 0.0762157i \(0.975716\pi\)
\(398\) −4.62437 + 4.62437i −0.231799 + 0.231799i
\(399\) 0.524044 3.48611i 0.0262350 0.174524i
\(400\) 3.62307 2.09178i 0.181153 0.104589i
\(401\) 0.371875 1.38785i 0.0185705 0.0693062i −0.956019 0.293306i \(-0.905245\pi\)
0.974589 + 0.223999i \(0.0719114\pi\)
\(402\) 10.8630 0.541795
\(403\) 16.3845 + 8.02282i 0.816169 + 0.399645i
\(404\) 4.15146i 0.206543i
\(405\) 1.04862 3.91348i 0.0521061 0.194463i
\(406\) 2.23589 + 1.78162i 0.110965 + 0.0884204i
\(407\) −8.05873 4.65271i −0.399457 0.230626i
\(408\) −7.44032 + 7.44032i −0.368351 + 0.368351i
\(409\) −6.67192 + 1.78773i −0.329905 + 0.0883978i −0.419970 0.907538i \(-0.637959\pi\)
0.0900646 + 0.995936i \(0.471293\pi\)
\(410\) 25.3829 6.80132i 1.25357 0.335893i
\(411\) 9.42893 9.42893i 0.465095 0.465095i
\(412\) 1.57974 + 0.912063i 0.0778282 + 0.0449341i
\(413\) 0.506800 + 0.403833i 0.0249380 + 0.0198713i
\(414\) 1.53007 5.71031i 0.0751990 0.280647i
\(415\) 18.5469i 0.910433i
\(416\) −10.9664 16.3130i −0.537671 0.799811i
\(417\) −5.11445 −0.250456
\(418\) −0.587842 + 2.19385i −0.0287523 + 0.107305i
\(419\) −7.98102 + 4.60785i −0.389899 + 0.225108i −0.682116 0.731244i \(-0.738940\pi\)
0.292218 + 0.956352i \(0.405607\pi\)
\(420\) 13.5576 + 2.03803i 0.661543 + 0.0994455i
\(421\) 9.26432 9.26432i 0.451515 0.451515i −0.444342 0.895857i \(-0.646562\pi\)
0.895857 + 0.444342i \(0.146562\pi\)
\(422\) 1.82620 + 6.81547i 0.0888980 + 0.331772i
\(423\) −5.10748 19.0614i −0.248334 0.926795i
\(424\) 10.0561 + 10.0561i 0.488366 + 0.488366i
\(425\) −29.3509 16.9457i −1.42373 0.821989i
\(426\) −3.26772 5.65985i −0.158321 0.274221i
\(427\) 32.5167 3.67671i 1.57359 0.177928i
\(428\) 17.0705i 0.825136i
\(429\) −4.83313 7.18952i −0.233346 0.347113i
\(430\) 8.08531i 0.389908i
\(431\) −6.28475 1.68399i −0.302726 0.0811152i 0.104259 0.994550i \(-0.466753\pi\)
−0.406985 + 0.913435i \(0.633420\pi\)
\(432\) 1.81802 1.04963i 0.0874694 0.0505005i
\(433\) 12.5684 21.7691i 0.604000 1.04616i −0.388209 0.921571i \(-0.626906\pi\)
0.992209 0.124587i \(-0.0397606\pi\)
\(434\) −11.3361 4.94057i −0.544149 0.237155i
\(435\) 1.36814 + 5.10597i 0.0655973 + 0.244812i
\(436\) 3.71842 0.996348i 0.178080 0.0477164i
\(437\) 3.11214 3.11214i 0.148874 0.148874i
\(438\) 2.59292 4.49107i 0.123895 0.214592i
\(439\) −8.84493 15.3199i −0.422145 0.731177i 0.574004 0.818853i \(-0.305390\pi\)
−0.996149 + 0.0876754i \(0.972056\pi\)
\(440\) −23.4127 6.27341i −1.11616 0.299073i
\(441\) 8.09119 + 8.70648i 0.385295 + 0.414594i
\(442\) 4.64657 9.48939i 0.221015 0.451364i
\(443\) −14.3391 −0.681271 −0.340635 0.940195i \(-0.610642\pi\)
−0.340635 + 0.940195i \(0.610642\pi\)
\(444\) −1.49663 + 5.58551i −0.0710270 + 0.265076i
\(445\) −13.7734 23.8562i −0.652922 1.13089i
\(446\) −3.11146 + 5.38920i −0.147332 + 0.255186i
\(447\) 3.67578 + 3.67578i 0.173858 + 0.173858i
\(448\) 9.14732 + 12.3840i 0.432170 + 0.585088i
\(449\) −2.82768 + 0.757676i −0.133447 + 0.0357569i −0.324924 0.945740i \(-0.605339\pi\)
0.191477 + 0.981497i \(0.438672\pi\)
\(450\) 11.8484 + 11.8484i 0.558537 + 0.558537i
\(451\) −13.0994 7.56293i −0.616826 0.356124i
\(452\) 9.69655 5.59830i 0.456087 0.263322i
\(453\) −16.6945 4.47329i −0.784378 0.210173i
\(454\) −14.9497 −0.701623
\(455\) −37.1618 + 6.79496i −1.74217 + 0.318553i
\(456\) 3.87300 0.181370
\(457\) 23.5373 + 6.30680i 1.10103 + 0.295020i 0.763183 0.646182i \(-0.223635\pi\)
0.337845 + 0.941202i \(0.390302\pi\)
\(458\) −15.6939 + 9.06090i −0.733329 + 0.423388i
\(459\) −14.7280 8.50319i −0.687442 0.396895i
\(460\) 12.1032 + 12.1032i 0.564316 + 0.564316i
\(461\) 20.1416 5.39694i 0.938090 0.251360i 0.242789 0.970079i \(-0.421938\pi\)
0.695301 + 0.718719i \(0.255271\pi\)
\(462\) 3.48884 + 4.72332i 0.162315 + 0.219749i
\(463\) 8.98662 + 8.98662i 0.417644 + 0.417644i 0.884391 0.466747i \(-0.154574\pi\)
−0.466747 + 0.884391i \(0.654574\pi\)
\(464\) −0.229045 + 0.396717i −0.0106331 + 0.0184171i
\(465\) −11.4322 19.8012i −0.530156 0.918257i
\(466\) −2.65458 + 9.90701i −0.122971 + 0.458933i
\(467\) 23.1041 1.06913 0.534566 0.845127i \(-0.320475\pi\)
0.534566 + 0.845127i \(0.320475\pi\)
\(468\) 4.61396 5.29111i 0.213281 0.244582i
\(469\) −25.3783 + 9.97176i −1.17186 + 0.460453i
\(470\) −41.0668 11.0038i −1.89427 0.507568i
\(471\) −7.97602 13.8149i −0.367516 0.636556i
\(472\) −0.355969 + 0.616557i −0.0163848 + 0.0283793i
\(473\) −3.29083 + 3.29083i −0.151312 + 0.151312i
\(474\) 2.74568 0.735704i 0.126113 0.0337920i
\(475\) 3.22870 + 12.0497i 0.148143 + 0.552877i
\(476\) 3.84545 8.82332i 0.176256 0.404416i
\(477\) −4.15371 + 7.19444i −0.190185 + 0.329411i
\(478\) 20.3913 11.7729i 0.932678 0.538482i
\(479\) −10.6889 2.86408i −0.488388 0.130863i 0.00621763 0.999981i \(-0.498021\pi\)
−0.494606 + 0.869117i \(0.664688\pi\)
\(480\) 24.6356i 1.12445i
\(481\) −1.08676 15.8968i −0.0495520 0.724830i
\(482\) 23.4992i 1.07036i
\(483\) −1.27849 11.3070i −0.0581734 0.514484i
\(484\) −3.76481 6.52084i −0.171128 0.296402i
\(485\) 56.2856 + 32.4965i 2.55580 + 1.47559i
\(486\) 9.74196 + 9.74196i 0.441904 + 0.441904i
\(487\) 8.07996 + 30.1548i 0.366138 + 1.36644i 0.865872 + 0.500266i \(0.166764\pi\)
−0.499734 + 0.866179i \(0.666569\pi\)
\(488\) 9.30501 + 34.7268i 0.421218 + 1.57201i
\(489\) −18.8280 + 18.8280i −0.851432 + 0.851432i
\(490\) 24.9606 5.71777i 1.12761 0.258302i
\(491\) 19.5025 11.2598i 0.880137 0.508147i 0.00943333 0.999956i \(-0.496997\pi\)
0.870704 + 0.491808i \(0.163664\pi\)
\(492\) −2.43276 + 9.07918i −0.109677 + 0.409321i
\(493\) 3.71104 0.167137
\(494\) −3.67918 + 1.26045i −0.165534 + 0.0567101i
\(495\) 14.1589i 0.636396i
\(496\) 0.512829 1.91390i 0.0230267 0.0859368i
\(497\) 12.8296 + 10.2230i 0.575488 + 0.458566i
\(498\) −4.27508 2.46822i −0.191571 0.110604i
\(499\) 16.1319 16.1319i 0.722165 0.722165i −0.246881 0.969046i \(-0.579406\pi\)
0.969046 + 0.246881i \(0.0794056\pi\)
\(500\) −24.9292 + 6.67975i −1.11487 + 0.298728i
\(501\) 12.3414 3.30686i 0.551371 0.147739i
\(502\) −3.93499 + 3.93499i −0.175627 + 0.175627i
\(503\) −3.72935 2.15314i −0.166283 0.0960037i 0.414549 0.910027i \(-0.363939\pi\)
−0.580832 + 0.814023i \(0.697273\pi\)
\(504\) −8.13758 + 10.2124i −0.362477 + 0.454898i
\(505\) −3.71071 + 13.8486i −0.165124 + 0.616253i
\(506\) 7.33121i 0.325912i
\(507\) 5.59965 13.7364i 0.248689 0.610055i
\(508\) 9.02873 0.400585
\(509\) 7.01539 26.1818i 0.310952 1.16049i −0.616748 0.787161i \(-0.711550\pi\)
0.927700 0.373327i \(-0.121783\pi\)
\(510\) −11.4682 + 6.62119i −0.507822 + 0.293191i
\(511\) −1.93502 + 12.8723i −0.0856000 + 0.569439i
\(512\) −3.11938 + 3.11938i −0.137858 + 0.137858i
\(513\) 1.62013 + 6.04640i 0.0715304 + 0.266955i
\(514\) 5.83675 + 21.7831i 0.257448 + 0.960809i
\(515\) 4.45451 + 4.45451i 0.196289 + 0.196289i
\(516\) 2.50457 + 1.44601i 0.110258 + 0.0636572i
\(517\) 12.2360 + 21.1934i 0.538139 + 0.932084i
\(518\) 1.21350 + 10.7321i 0.0533180 + 0.471543i
\(519\) 3.79813i 0.166719i
\(520\) −13.4514 39.2640i −0.589883 1.72184i
\(521\) 13.9696i 0.612021i −0.952028 0.306011i \(-0.901006\pi\)
0.952028 0.306011i \(-0.0989943\pi\)
\(522\) −1.77224 0.474870i −0.0775688 0.0207845i
\(523\) −35.9424 + 20.7514i −1.57165 + 0.907394i −0.575685 + 0.817672i \(0.695265\pi\)
−0.995967 + 0.0897221i \(0.971402\pi\)
\(524\) 1.21453 2.10362i 0.0530569 0.0918972i
\(525\) 29.5664 + 12.8858i 1.29038 + 0.562384i
\(526\) −3.61986 13.5095i −0.157834 0.589043i
\(527\) −15.5047 + 4.15449i −0.675398 + 0.180972i
\(528\) −0.665318 + 0.665318i −0.0289543 + 0.0289543i
\(529\) −4.39677 + 7.61543i −0.191164 + 0.331106i
\(530\) 8.94896 + 15.5001i 0.388718 + 0.673279i
\(531\) −0.401707 0.107637i −0.0174326 0.00467105i
\(532\) −3.29732 + 1.29560i −0.142957 + 0.0561713i
\(533\) −1.76652 25.8400i −0.0765163 1.11926i
\(534\) −7.33185 −0.317280
\(535\) 15.2582 56.9444i 0.659670 2.46192i
\(536\) −14.9783 25.9432i −0.646965 1.12058i
\(537\) −0.145792 + 0.252519i −0.00629139 + 0.0108970i
\(538\) 2.31304 + 2.31304i 0.0997223 + 0.0997223i
\(539\) −12.4865 7.83210i −0.537832 0.337352i
\(540\) −23.5147 + 6.30074i −1.01191 + 0.271141i
\(541\) −4.41830 4.41830i −0.189957 0.189957i 0.605720 0.795678i \(-0.292885\pi\)
−0.795678 + 0.605720i \(0.792885\pi\)
\(542\) −0.604911 0.349246i −0.0259832 0.0150014i
\(543\) 7.56083 4.36525i 0.324466 0.187331i
\(544\) 16.7058 + 4.47630i 0.716255 + 0.191920i
\(545\) 13.2946 0.569478
\(546\) −3.37923 + 9.47009i −0.144618 + 0.405282i
\(547\) −25.9633 −1.11011 −0.555055 0.831814i \(-0.687303\pi\)
−0.555055 + 0.831814i \(0.687303\pi\)
\(548\) −12.9439 3.46831i −0.552936 0.148159i
\(549\) −18.1875 + 10.5006i −0.776225 + 0.448154i
\(550\) −17.9955 10.3897i −0.767330 0.443018i
\(551\) −0.965876 0.965876i −0.0411477 0.0411477i
\(552\) 12.0755 3.23561i 0.513965 0.137717i
\(553\) −5.73918 + 4.23919i −0.244055 + 0.180269i
\(554\) 6.81118 + 6.81118i 0.289379 + 0.289379i
\(555\) −9.98502 + 17.2946i −0.423841 + 0.734113i
\(556\) 2.56988 + 4.45117i 0.108987 + 0.188772i
\(557\) 7.96866 29.7395i 0.337643 1.26010i −0.563332 0.826230i \(-0.690481\pi\)
0.900975 0.433870i \(-0.142852\pi\)
\(558\) 7.93604 0.335960
\(559\) −7.82024 1.53273i −0.330761 0.0648276i
\(560\) 1.50053 + 3.81887i 0.0634090 + 0.161377i
\(561\) 7.36263 + 1.97281i 0.310850 + 0.0832921i
\(562\) 11.8483 + 20.5218i 0.499790 + 0.865661i
\(563\) −16.1301 + 27.9382i −0.679804 + 1.17745i 0.295236 + 0.955424i \(0.404602\pi\)
−0.975040 + 0.222030i \(0.928732\pi\)
\(564\) 10.7532 10.7532i 0.452791 0.452791i
\(565\) 37.3500 10.0079i 1.57133 0.421036i
\(566\) 0.0117675 + 0.0439168i 0.000494624 + 0.00184596i
\(567\) 2.48135 + 1.08144i 0.104207 + 0.0454163i
\(568\) −9.01135 + 15.6081i −0.378108 + 0.654902i
\(569\) 3.82034 2.20567i 0.160157 0.0924666i −0.417779 0.908548i \(-0.637192\pi\)
0.577936 + 0.816082i \(0.303858\pi\)
\(570\) 4.70816 + 1.26155i 0.197203 + 0.0528404i
\(571\) 34.7359i 1.45365i 0.686821 + 0.726826i \(0.259005\pi\)
−0.686821 + 0.726826i \(0.740995\pi\)
\(572\) −3.82859 + 7.81888i −0.160082 + 0.326924i
\(573\) 16.5577i 0.691709i
\(574\) 1.97253 + 17.4450i 0.0823316 + 0.728139i
\(575\) 20.1332 + 34.8717i 0.839613 + 1.45425i
\(576\) −8.55689 4.94032i −0.356537 0.205847i
\(577\) −23.9223 23.9223i −0.995899 0.995899i 0.00409248 0.999992i \(-0.498697\pi\)
−0.999992 + 0.00409248i \(0.998697\pi\)
\(578\) −1.65820 6.18850i −0.0689721 0.257408i
\(579\) −2.37731 8.87223i −0.0987975 0.368717i
\(580\) 3.75633 3.75633i 0.155973 0.155973i
\(581\) 12.2533 + 1.84195i 0.508351 + 0.0764171i
\(582\) 14.9809 8.64925i 0.620980 0.358523i
\(583\) 2.66638 9.95106i 0.110430 0.412131i
\(584\) −14.3009 −0.591778
\(585\) 20.1208 13.5261i 0.831892 0.559237i
\(586\) 15.2349i 0.629348i
\(587\) −4.46785 + 16.6742i −0.184408 + 0.688219i 0.810349 + 0.585948i \(0.199278\pi\)
−0.994757 + 0.102271i \(0.967389\pi\)
\(588\) −2.69289 + 8.75460i −0.111053 + 0.361033i
\(589\) 5.11673 + 2.95415i 0.210831 + 0.121723i
\(590\) −0.633558 + 0.633558i −0.0260832 + 0.0260832i
\(591\) 7.16724 1.92046i 0.294821 0.0789970i
\(592\) −1.67163 + 0.447911i −0.0687034 + 0.0184090i
\(593\) −17.7800 + 17.7800i −0.730138 + 0.730138i −0.970647 0.240509i \(-0.922686\pi\)
0.240509 + 0.970647i \(0.422686\pi\)
\(594\) −9.02994 5.21344i −0.370503 0.213910i
\(595\) 20.7143 25.9959i 0.849205 1.06573i
\(596\) 1.35209 5.04606i 0.0553837 0.206695i
\(597\) 8.07856i 0.330633i
\(598\) −10.4181 + 7.00357i −0.426029 + 0.286397i
\(599\) −0.876238 −0.0358021 −0.0179011 0.999840i \(-0.505698\pi\)
−0.0179011 + 0.999840i \(0.505698\pi\)
\(600\) −9.17092 + 34.2263i −0.374401 + 1.39728i
\(601\) 19.6980 11.3726i 0.803496 0.463899i −0.0411960 0.999151i \(-0.513117\pi\)
0.844692 + 0.535252i \(0.179783\pi\)
\(602\) 5.34166 + 0.802978i 0.217710 + 0.0327269i
\(603\) 12.3737 12.3737i 0.503898 0.503898i
\(604\) 4.49543 + 16.7772i 0.182916 + 0.682653i
\(605\) −6.73022 25.1175i −0.273622 1.02117i
\(606\) 2.69828 + 2.69828i 0.109610 + 0.109610i
\(607\) 26.7349 + 15.4354i 1.08514 + 0.626504i 0.932278 0.361744i \(-0.117818\pi\)
0.152860 + 0.988248i \(0.451152\pi\)
\(608\) −3.18298 5.51309i −0.129087 0.223585i
\(609\) −3.50920 + 0.396790i −0.142200 + 0.0160787i
\(610\) 45.2459i 1.83195i
\(611\) −18.4281 + 37.6344i −0.745519 + 1.52252i
\(612\) 6.17694i 0.249688i
\(613\) −45.4575 12.1803i −1.83601 0.491958i −0.837496 0.546443i \(-0.815981\pi\)
−0.998515 + 0.0544855i \(0.982648\pi\)
\(614\) 15.6257 9.02148i 0.630601 0.364077i
\(615\) −16.2305 + 28.1121i −0.654479 + 1.13359i
\(616\) 6.46980 14.8449i 0.260676 0.598116i
\(617\) −1.88092 7.01970i −0.0757231 0.282602i 0.917673 0.397336i \(-0.130065\pi\)
−0.993396 + 0.114734i \(0.963399\pi\)
\(618\) 1.61958 0.433964i 0.0651489 0.0174566i
\(619\) 14.6115 14.6115i 0.587285 0.587285i −0.349610 0.936895i \(-0.613686\pi\)
0.936895 + 0.349610i \(0.113686\pi\)
\(620\) −11.4888 + 19.8992i −0.461401 + 0.799170i
\(621\) 10.1026 + 17.4983i 0.405405 + 0.702182i
\(622\) 4.02508 + 1.07852i 0.161391 + 0.0432446i
\(623\) 17.1288 6.73034i 0.686251 0.269645i
\(624\) −1.58105 0.309878i −0.0632925 0.0124050i
\(625\) −35.7143 −1.42857
\(626\) 7.40822 27.6479i 0.296092 1.10503i
\(627\) −1.40281 2.42975i −0.0560230 0.0970347i
\(628\) −8.01549 + 13.8832i −0.319853 + 0.554002i
\(629\) 9.91345 + 9.91345i 0.395275 + 0.395275i
\(630\) −13.2188 + 9.76395i −0.526649 + 0.389005i
\(631\) 5.77115 1.54637i 0.229746 0.0615602i −0.142109 0.989851i \(-0.545388\pi\)
0.371855 + 0.928291i \(0.378722\pi\)
\(632\) −5.54290 5.54290i −0.220485 0.220485i
\(633\) −7.54829 4.35801i −0.300018 0.173215i
\(634\) −4.90374 + 2.83118i −0.194752 + 0.112440i
\(635\) 30.1183 + 8.07018i 1.19521 + 0.320255i
\(636\) −6.40189 −0.253852
\(637\) −0.798528 25.2262i −0.0316388 0.999499i
\(638\) 2.27530 0.0900798
\(639\) −10.1692 2.72483i −0.402287 0.107793i
\(640\) 18.9594 10.9462i 0.749435 0.432687i
\(641\) 19.3092 + 11.1482i 0.762667 + 0.440326i 0.830253 0.557387i \(-0.188196\pi\)
−0.0675854 + 0.997713i \(0.521530\pi\)
\(642\) −11.0952 11.0952i −0.437892 0.437892i
\(643\) −19.2524 + 5.15868i −0.759242 + 0.203438i −0.617614 0.786481i \(-0.711901\pi\)
−0.141629 + 0.989920i \(0.545234\pi\)
\(644\) −9.19817 + 6.79415i −0.362458 + 0.267727i
\(645\) 7.06233 + 7.06233i 0.278079 + 0.278079i
\(646\) 1.71095 2.96346i 0.0673165 0.116596i
\(647\) 7.43232 + 12.8732i 0.292195 + 0.506096i 0.974328 0.225132i \(-0.0722812\pi\)
−0.682134 + 0.731227i \(0.738948\pi\)
\(648\) −0.769668 + 2.87244i −0.0302354 + 0.112840i
\(649\) 0.515733 0.0202443
\(650\) −2.42678 35.4981i −0.0951861 1.39235i
\(651\) 14.2173 5.58632i 0.557219 0.218945i
\(652\) 25.8468 + 6.92564i 1.01224 + 0.271229i
\(653\) −16.5493 28.6642i −0.647623 1.12172i −0.983689 0.179877i \(-0.942430\pi\)
0.336067 0.941838i \(-0.390903\pi\)
\(654\) 1.76924 3.06442i 0.0691828 0.119828i
\(655\) 5.93175 5.93175i 0.231773 0.231773i
\(656\) −2.71721 + 0.728074i −0.106089 + 0.0284265i
\(657\) −2.16214 8.06922i −0.0843531 0.314810i
\(658\) 11.3483 26.0384i 0.442402 1.01508i
\(659\) 23.6093 40.8925i 0.919687 1.59295i 0.119797 0.992798i \(-0.461776\pi\)
0.799890 0.600147i \(-0.204891\pi\)
\(660\) 9.44937 5.45560i 0.367816 0.212359i
\(661\) −16.0386 4.29753i −0.623829 0.167155i −0.0669612 0.997756i \(-0.521330\pi\)
−0.556868 + 0.830601i \(0.687997\pi\)
\(662\) 15.4440i 0.600248i
\(663\) 4.23008 + 12.3474i 0.164283 + 0.479534i
\(664\) 13.6132i 0.528293i
\(665\) −12.1573 + 1.37465i −0.471441 + 0.0533065i
\(666\) −3.46572 6.00280i −0.134294 0.232604i
\(667\) −3.81837 2.20454i −0.147848 0.0853601i
\(668\) −9.07921 9.07921i −0.351285 0.351285i
\(669\) −1.98956 7.42513i −0.0769207 0.287072i
\(670\) −9.75773 36.4163i −0.376974 1.40689i
\(671\) 18.4157 18.4157i 0.710929 0.710929i
\(672\) −16.2758 2.44664i −0.627853 0.0943810i
\(673\) −22.5906 + 13.0427i −0.870802 + 0.502758i −0.867615 0.497237i \(-0.834348\pi\)
−0.00318750 + 0.999995i \(0.501015\pi\)
\(674\) 2.98015 11.1221i 0.114791 0.428406i
\(675\) −57.2693 −2.20430
\(676\) −14.7686 + 2.02876i −0.568025 + 0.0780290i
\(677\) 19.4663i 0.748150i −0.927398 0.374075i \(-0.877960\pi\)
0.927398 0.374075i \(-0.122040\pi\)
\(678\) 2.66370 9.94105i 0.102299 0.381784i
\(679\) −27.0591 + 33.9584i −1.03843 + 1.30321i
\(680\) 31.6258 + 18.2592i 1.21280 + 0.700208i
\(681\) 13.0582 13.0582i 0.500391 0.500391i
\(682\) −9.50621 + 2.54718i −0.364012 + 0.0975366i
\(683\) −19.9907 + 5.35648i −0.764921 + 0.204960i −0.620127 0.784502i \(-0.712919\pi\)
−0.144794 + 0.989462i \(0.546252\pi\)
\(684\) 1.60768 1.60768i 0.0614712 0.0614712i
\(685\) −40.0786 23.1394i −1.53132 0.884110i
\(686\) 1.29860 + 17.0584i 0.0495806 + 0.651293i
\(687\) 5.79380 21.6228i 0.221047 0.824960i
\(688\) 0.865524i 0.0329978i
\(689\) 16.6883 5.71723i 0.635775 0.217809i
\(690\) 15.7333 0.598955
\(691\) −3.65409 + 13.6373i −0.139008 + 0.518786i 0.860941 + 0.508705i \(0.169876\pi\)
−0.999949 + 0.0100808i \(0.996791\pi\)
\(692\) 3.30555 1.90846i 0.125658 0.0725488i
\(693\) 9.35427 + 1.40617i 0.355340 + 0.0534159i
\(694\) 17.1477 17.1477i 0.650916 0.650916i
\(695\) 4.59409 + 17.1454i 0.174264 + 0.650362i
\(696\) −1.00419 3.74770i −0.0380639 0.142056i
\(697\) 16.1142 + 16.1142i 0.610369 + 0.610369i
\(698\) 5.85494 + 3.38035i 0.221613 + 0.127948i
\(699\) −6.33483 10.9722i −0.239605 0.415008i
\(700\) −3.64166 32.2068i −0.137642 1.21730i
\(701\) 26.8075i 1.01251i 0.862385 + 0.506253i \(0.168970\pi\)
−0.862385 + 0.506253i \(0.831030\pi\)
\(702\) −1.21773 17.8126i −0.0459603 0.672293i
\(703\) 5.16037i 0.194627i
\(704\) 11.8356 + 3.17133i 0.446069 + 0.119524i
\(705\) 45.4824 26.2593i 1.71297 0.988981i
\(706\) 12.5896 21.8058i 0.473815 0.820672i
\(707\) −8.78071 3.82687i −0.330232 0.143924i
\(708\) −0.0829475 0.309564i −0.00311736 0.0116341i
\(709\) 27.7598 7.43821i 1.04254 0.279348i 0.303374 0.952871i \(-0.401887\pi\)
0.739166 + 0.673524i \(0.235220\pi\)
\(710\) −16.0385 + 16.0385i −0.601915 + 0.601915i
\(711\) 2.28952 3.96557i 0.0858638 0.148720i
\(712\) 10.1095 + 17.5101i 0.378869 + 0.656220i
\(713\) 18.4212 + 4.93594i 0.689879 + 0.184852i
\(714\) −3.23543 8.23421i −0.121083 0.308157i
\(715\) −19.7603 + 22.6603i −0.738994 + 0.847449i
\(716\) 0.293027 0.0109509
\(717\) −7.52796 + 28.0947i −0.281137 + 1.04922i
\(718\) 14.3482 + 24.8518i 0.535470 + 0.927462i
\(719\) −1.45756 + 2.52456i −0.0543577 + 0.0941503i −0.891924 0.452186i \(-0.850644\pi\)
0.837566 + 0.546336i \(0.183978\pi\)
\(720\) −1.86198 1.86198i −0.0693918 0.0693918i
\(721\) −3.38532 + 2.50054i −0.126076 + 0.0931250i
\(722\) 15.7363 4.21652i 0.585644 0.156923i
\(723\) 20.5260 + 20.5260i 0.763369 + 0.763369i
\(724\) −7.59825 4.38685i −0.282387 0.163036i
\(725\) 10.8227 6.24849i 0.401945 0.232063i
\(726\) −6.68527 1.79131i −0.248114 0.0664818i
\(727\) −26.1967 −0.971584 −0.485792 0.874075i \(-0.661469\pi\)
−0.485792 + 0.874075i \(0.661469\pi\)
\(728\) 27.2762 4.98740i 1.01092 0.184845i
\(729\) −20.0879 −0.743998
\(730\) −17.3847 4.65822i −0.643437 0.172409i
\(731\) 6.07232 3.50585i 0.224593 0.129669i
\(732\) −14.0157 8.09199i −0.518037 0.299089i
\(733\) −4.50890 4.50890i −0.166540 0.166540i 0.618917 0.785457i \(-0.287572\pi\)
−0.785457 + 0.618917i \(0.787572\pi\)
\(734\) −22.4221 + 6.00798i −0.827614 + 0.221758i
\(735\) −16.8082 + 26.7969i −0.619980 + 0.988417i
\(736\) −14.5299 14.5299i −0.535577 0.535577i
\(737\) −10.8504 + 18.7934i −0.399680 + 0.692265i
\(738\) −5.63348 9.75748i −0.207371 0.359178i
\(739\) 6.51352 24.3088i 0.239604 0.894213i −0.736416 0.676529i \(-0.763483\pi\)
0.976019 0.217684i \(-0.0698501\pi\)
\(740\) 20.0689 0.737747
\(741\) 2.11271 4.31465i 0.0776124 0.158503i
\(742\) −11.1291 + 4.37289i −0.408561 + 0.160534i
\(743\) −23.8890 6.40103i −0.876401 0.234831i −0.207547 0.978225i \(-0.566548\pi\)
−0.668854 + 0.743394i \(0.733215\pi\)
\(744\) 8.39107 + 14.5338i 0.307632 + 0.532834i
\(745\) 9.02067 15.6243i 0.330492 0.572429i
\(746\) −2.03021 + 2.03021i −0.0743312 + 0.0743312i
\(747\) −7.68114 + 2.05816i −0.281038 + 0.0753040i
\(748\) −1.98257 7.39907i −0.0724901 0.270537i
\(749\) 36.1057 + 15.7359i 1.31927 + 0.574976i
\(750\) −11.8614 + 20.5446i −0.433118 + 0.750182i
\(751\) 12.2932 7.09751i 0.448587 0.258992i −0.258646 0.965972i \(-0.583276\pi\)
0.707233 + 0.706980i \(0.249943\pi\)
\(752\) 4.39615 + 1.17795i 0.160311 + 0.0429552i
\(753\) 6.87425i 0.250511i
\(754\) 2.17361 + 3.23335i 0.0791581 + 0.117752i
\(755\) 59.9839i 2.18304i
\(756\) −1.82735 16.1610i −0.0664599 0.587770i
\(757\) −12.3674 21.4210i −0.449502 0.778559i 0.548852 0.835920i \(-0.315065\pi\)
−0.998354 + 0.0573601i \(0.981732\pi\)
\(758\) 3.60709 + 2.08256i 0.131016 + 0.0756419i
\(759\) −6.40364 6.40364i −0.232437 0.232437i
\(760\) −3.47895 12.9836i −0.126195 0.470966i
\(761\) 3.00566 + 11.2173i 0.108955 + 0.406626i 0.998764 0.0497076i \(-0.0158289\pi\)
−0.889809 + 0.456334i \(0.849162\pi\)
\(762\) 5.86832 5.86832i 0.212587 0.212587i
\(763\) −1.32033 + 8.78325i −0.0477991 + 0.317975i
\(764\) −14.4104 + 8.31983i −0.521349 + 0.301001i
\(765\) −5.52116 + 20.6052i −0.199618 + 0.744984i
\(766\) 31.0499 1.12188
\(767\) 0.492684 + 0.732890i 0.0177898 + 0.0264631i
\(768\) 19.1070i 0.689463i
\(769\) −9.18218 + 34.2684i −0.331118 + 1.23575i 0.576899 + 0.816815i \(0.304263\pi\)
−0.908017 + 0.418933i \(0.862404\pi\)
\(770\) 12.7003 15.9385i 0.457687 0.574384i
\(771\) −24.1252 13.9287i −0.868850 0.501631i
\(772\) −6.52707 + 6.52707i −0.234914 + 0.234914i
\(773\) 19.4491 5.21138i 0.699536 0.187440i 0.108513 0.994095i \(-0.465391\pi\)
0.591023 + 0.806655i \(0.298724\pi\)
\(774\)