Properties

Label 546.2.bi.e.17.6
Level $546$
Weight $2$
Character 546.17
Analytic conductor $4.360$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bi (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(34\)
Relative dimension: \(17\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 17.6
Character \(\chi\) \(=\) 546.17
Dual form 546.2.bi.e.257.6

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000 q^{2} +(-0.646635 - 1.60682i) q^{3} +1.00000 q^{4} +(-2.88000 + 1.66277i) q^{5} +(0.646635 + 1.60682i) q^{6} +(-2.37914 - 1.15746i) q^{7} -1.00000 q^{8} +(-2.16373 + 2.07805i) q^{9} +O(q^{10})\) \(q-1.00000 q^{2} +(-0.646635 - 1.60682i) q^{3} +1.00000 q^{4} +(-2.88000 + 1.66277i) q^{5} +(0.646635 + 1.60682i) q^{6} +(-2.37914 - 1.15746i) q^{7} -1.00000 q^{8} +(-2.16373 + 2.07805i) q^{9} +(2.88000 - 1.66277i) q^{10} +(-0.741475 - 1.28427i) q^{11} +(-0.646635 - 1.60682i) q^{12} +(1.88919 + 3.07099i) q^{13} +(2.37914 + 1.15746i) q^{14} +(4.53407 + 3.55243i) q^{15} +1.00000 q^{16} +5.63770 q^{17} +(2.16373 - 2.07805i) q^{18} +(2.68297 - 4.64703i) q^{19} +(-2.88000 + 1.66277i) q^{20} +(-0.321393 + 4.57129i) q^{21} +(0.741475 + 1.28427i) q^{22} +4.00965i q^{23} +(0.646635 + 1.60682i) q^{24} +(3.02959 - 5.24741i) q^{25} +(-1.88919 - 3.07099i) q^{26} +(4.73819 + 2.13298i) q^{27} +(-2.37914 - 1.15746i) q^{28} +(-0.127567 - 0.0736508i) q^{29} +(-4.53407 - 3.55243i) q^{30} +(0.689813 - 1.19479i) q^{31} -1.00000 q^{32} +(-1.58413 + 2.02187i) q^{33} -5.63770 q^{34} +(8.77649 - 0.622472i) q^{35} +(-2.16373 + 2.07805i) q^{36} +10.1659i q^{37} +(-2.68297 + 4.64703i) q^{38} +(3.71290 - 5.02139i) q^{39} +(2.88000 - 1.66277i) q^{40} +(-0.728750 - 0.420744i) q^{41} +(0.321393 - 4.57129i) q^{42} +(-4.56492 - 7.90667i) q^{43} +(-0.741475 - 1.28427i) q^{44} +(2.77622 - 9.58255i) q^{45} -4.00965i q^{46} +(8.41249 - 4.85696i) q^{47} +(-0.646635 - 1.60682i) q^{48} +(4.32058 + 5.50750i) q^{49} +(-3.02959 + 5.24741i) q^{50} +(-3.64553 - 9.05876i) q^{51} +(1.88919 + 3.07099i) q^{52} +(10.6632 + 6.15640i) q^{53} +(-4.73819 - 2.13298i) q^{54} +(4.27089 + 2.46580i) q^{55} +(2.37914 + 1.15746i) q^{56} +(-9.20183 - 1.30610i) q^{57} +(0.127567 + 0.0736508i) q^{58} +0.151480i q^{59} +(4.53407 + 3.55243i) q^{60} +(6.32641 + 3.65255i) q^{61} +(-0.689813 + 1.19479i) q^{62} +(7.55306 - 2.43954i) q^{63} +1.00000 q^{64} +(-10.5472 - 5.70316i) q^{65} +(1.58413 - 2.02187i) q^{66} +(-8.61136 + 4.97177i) q^{67} +5.63770 q^{68} +(6.44278 - 2.59278i) q^{69} +(-8.77649 + 0.622472i) q^{70} +(2.25453 + 3.90495i) q^{71} +(2.16373 - 2.07805i) q^{72} +(1.99167 - 3.44967i) q^{73} -10.1659i q^{74} +(-10.3907 - 1.47485i) q^{75} +(2.68297 - 4.64703i) q^{76} +(0.277578 + 3.91369i) q^{77} +(-3.71290 + 5.02139i) q^{78} +(1.75435 + 3.03863i) q^{79} +(-2.88000 + 1.66277i) q^{80} +(0.363431 - 8.99266i) q^{81} +(0.728750 + 0.420744i) q^{82} +11.3089i q^{83} +(-0.321393 + 4.57129i) q^{84} +(-16.2366 + 9.37418i) q^{85} +(4.56492 + 7.90667i) q^{86} +(-0.0358542 + 0.252602i) q^{87} +(0.741475 + 1.28427i) q^{88} +1.72669i q^{89} +(-2.77622 + 9.58255i) q^{90} +(-0.940096 - 9.49296i) q^{91} +4.00965i q^{92} +(-2.36587 - 0.335810i) q^{93} +(-8.41249 + 4.85696i) q^{94} +17.8446i q^{95} +(0.646635 + 1.60682i) q^{96} +(7.27311 + 12.5974i) q^{97} +(-4.32058 - 5.50750i) q^{98} +(4.27313 + 1.23799i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 34q^{2} + 3q^{3} + 34q^{4} - 9q^{5} - 3q^{6} + 4q^{7} - 34q^{8} - 11q^{9} + O(q^{10}) \) \( 34q - 34q^{2} + 3q^{3} + 34q^{4} - 9q^{5} - 3q^{6} + 4q^{7} - 34q^{8} - 11q^{9} + 9q^{10} - 9q^{11} + 3q^{12} + 8q^{13} - 4q^{14} - 4q^{15} + 34q^{16} - 12q^{17} + 11q^{18} - 5q^{19} - 9q^{20} + 4q^{21} + 9q^{22} - 3q^{24} + 16q^{25} - 8q^{26} + 18q^{27} + 4q^{28} - 27q^{29} + 4q^{30} - q^{31} - 34q^{32} + 21q^{33} + 12q^{34} + 3q^{35} - 11q^{36} + 5q^{38} + 7q^{39} + 9q^{40} + 3q^{41} - 4q^{42} - 3q^{43} - 9q^{44} + 9q^{45} + 27q^{47} + 3q^{48} - 2q^{49} - 16q^{50} + 24q^{51} + 8q^{52} + 21q^{53} - 18q^{54} - 57q^{55} - 4q^{56} + 17q^{57} + 27q^{58} - 4q^{60} - 51q^{61} + q^{62} + 3q^{63} + 34q^{64} + 21q^{65} - 21q^{66} - 21q^{67} - 12q^{68} + 42q^{69} - 3q^{70} + 15q^{71} + 11q^{72} - 19q^{73} + 54q^{75} - 5q^{76} - 9q^{77} - 7q^{78} - 9q^{79} - 9q^{80} - 23q^{81} - 3q^{82} + 4q^{84} - 42q^{85} + 3q^{86} + 81q^{87} + 9q^{88} - 9q^{90} - 72q^{91} + 17q^{93} - 27q^{94} - 3q^{96} + 19q^{97} + 2q^{98} + 27q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.00000 −0.707107
\(3\) −0.646635 1.60682i −0.373335 0.927697i
\(4\) 1.00000 0.500000
\(5\) −2.88000 + 1.66277i −1.28797 + 0.743612i −0.978293 0.207228i \(-0.933556\pi\)
−0.309682 + 0.950840i \(0.600222\pi\)
\(6\) 0.646635 + 1.60682i 0.263988 + 0.655981i
\(7\) −2.37914 1.15746i −0.899229 0.437478i
\(8\) −1.00000 −0.353553
\(9\) −2.16373 + 2.07805i −0.721242 + 0.692683i
\(10\) 2.88000 1.66277i 0.910735 0.525813i
\(11\) −0.741475 1.28427i −0.223563 0.387223i 0.732324 0.680956i \(-0.238436\pi\)
−0.955887 + 0.293733i \(0.905102\pi\)
\(12\) −0.646635 1.60682i −0.186667 0.463848i
\(13\) 1.88919 + 3.07099i 0.523967 + 0.851739i
\(14\) 2.37914 + 1.15746i 0.635851 + 0.309344i
\(15\) 4.53407 + 3.55243i 1.17069 + 0.917233i
\(16\) 1.00000 0.250000
\(17\) 5.63770 1.36734 0.683671 0.729790i \(-0.260382\pi\)
0.683671 + 0.729790i \(0.260382\pi\)
\(18\) 2.16373 2.07805i 0.509995 0.489801i
\(19\) 2.68297 4.64703i 0.615514 1.06610i −0.374780 0.927114i \(-0.622282\pi\)
0.990294 0.138988i \(-0.0443851\pi\)
\(20\) −2.88000 + 1.66277i −0.643987 + 0.371806i
\(21\) −0.321393 + 4.57129i −0.0701338 + 0.997538i
\(22\) 0.741475 + 1.28427i 0.158083 + 0.273808i
\(23\) 4.00965i 0.836071i 0.908431 + 0.418035i \(0.137281\pi\)
−0.908431 + 0.418035i \(0.862719\pi\)
\(24\) 0.646635 + 1.60682i 0.131994 + 0.327990i
\(25\) 3.02959 5.24741i 0.605919 1.04948i
\(26\) −1.88919 3.07099i −0.370500 0.602270i
\(27\) 4.73819 + 2.13298i 0.911864 + 0.410492i
\(28\) −2.37914 1.15746i −0.449614 0.218739i
\(29\) −0.127567 0.0736508i −0.0236886 0.0136766i 0.488109 0.872783i \(-0.337687\pi\)
−0.511798 + 0.859106i \(0.671020\pi\)
\(30\) −4.53407 3.55243i −0.827804 0.648582i
\(31\) 0.689813 1.19479i 0.123894 0.214591i −0.797406 0.603443i \(-0.793795\pi\)
0.921300 + 0.388852i \(0.127128\pi\)
\(32\) −1.00000 −0.176777
\(33\) −1.58413 + 2.02187i −0.275761 + 0.351962i
\(34\) −5.63770 −0.966857
\(35\) 8.77649 0.622472i 1.48350 0.105217i
\(36\) −2.16373 + 2.07805i −0.360621 + 0.346341i
\(37\) 10.1659i 1.67127i 0.549287 + 0.835634i \(0.314899\pi\)
−0.549287 + 0.835634i \(0.685101\pi\)
\(38\) −2.68297 + 4.64703i −0.435234 + 0.753848i
\(39\) 3.71290 5.02139i 0.594540 0.804066i
\(40\) 2.88000 1.66277i 0.455368 0.262907i
\(41\) −0.728750 0.420744i −0.113812 0.0657091i 0.442014 0.897008i \(-0.354264\pi\)
−0.555825 + 0.831299i \(0.687598\pi\)
\(42\) 0.321393 4.57129i 0.0495921 0.705366i
\(43\) −4.56492 7.90667i −0.696143 1.20576i −0.969794 0.243926i \(-0.921565\pi\)
0.273651 0.961829i \(-0.411769\pi\)
\(44\) −0.741475 1.28427i −0.111782 0.193611i
\(45\) 2.77622 9.58255i 0.413854 1.42848i
\(46\) 4.00965i 0.591191i
\(47\) 8.41249 4.85696i 1.22709 0.708460i 0.260668 0.965428i \(-0.416057\pi\)
0.966420 + 0.256969i \(0.0827237\pi\)
\(48\) −0.646635 1.60682i −0.0933337 0.231924i
\(49\) 4.32058 + 5.50750i 0.617226 + 0.786786i
\(50\) −3.02959 + 5.24741i −0.428449 + 0.742096i
\(51\) −3.64553 9.05876i −0.510477 1.26848i
\(52\) 1.88919 + 3.07099i 0.261983 + 0.425869i
\(53\) 10.6632 + 6.15640i 1.46470 + 0.845647i 0.999223 0.0394116i \(-0.0125483\pi\)
0.465480 + 0.885058i \(0.345882\pi\)
\(54\) −4.73819 2.13298i −0.644785 0.290261i
\(55\) 4.27089 + 2.46580i 0.575887 + 0.332489i
\(56\) 2.37914 + 1.15746i 0.317925 + 0.154672i
\(57\) −9.20183 1.30610i −1.21881 0.172998i
\(58\) 0.127567 + 0.0736508i 0.0167504 + 0.00967083i
\(59\) 0.151480i 0.0197210i 0.999951 + 0.00986052i \(0.00313875\pi\)
−0.999951 + 0.00986052i \(0.996861\pi\)
\(60\) 4.53407 + 3.55243i 0.585346 + 0.458617i
\(61\) 6.32641 + 3.65255i 0.810014 + 0.467662i 0.846961 0.531656i \(-0.178430\pi\)
−0.0369471 + 0.999317i \(0.511763\pi\)
\(62\) −0.689813 + 1.19479i −0.0876063 + 0.151739i
\(63\) 7.55306 2.43954i 0.951596 0.307353i
\(64\) 1.00000 0.125000
\(65\) −10.5472 5.70316i −1.30822 0.707390i
\(66\) 1.58413 2.02187i 0.194993 0.248875i
\(67\) −8.61136 + 4.97177i −1.05205 + 0.607399i −0.923221 0.384269i \(-0.874454\pi\)
−0.128824 + 0.991667i \(0.541120\pi\)
\(68\) 5.63770 0.683671
\(69\) 6.44278 2.59278i 0.775620 0.312134i
\(70\) −8.77649 + 0.622472i −1.04899 + 0.0743996i
\(71\) 2.25453 + 3.90495i 0.267563 + 0.463433i 0.968232 0.250054i \(-0.0804483\pi\)
−0.700669 + 0.713487i \(0.747115\pi\)
\(72\) 2.16373 2.07805i 0.254998 0.244900i
\(73\) 1.99167 3.44967i 0.233107 0.403753i −0.725614 0.688102i \(-0.758444\pi\)
0.958721 + 0.284349i \(0.0917775\pi\)
\(74\) 10.1659i 1.18176i
\(75\) −10.3907 1.47485i −1.19981 0.170301i
\(76\) 2.68297 4.64703i 0.307757 0.533051i
\(77\) 0.277578 + 3.91369i 0.0316329 + 0.446006i
\(78\) −3.71290 + 5.02139i −0.420403 + 0.568560i
\(79\) 1.75435 + 3.03863i 0.197380 + 0.341872i 0.947678 0.319227i \(-0.103423\pi\)
−0.750298 + 0.661100i \(0.770090\pi\)
\(80\) −2.88000 + 1.66277i −0.321994 + 0.185903i
\(81\) 0.363431 8.99266i 0.0403812 0.999184i
\(82\) 0.728750 + 0.420744i 0.0804769 + 0.0464634i
\(83\) 11.3089i 1.24131i 0.784082 + 0.620657i \(0.213134\pi\)
−0.784082 + 0.620657i \(0.786866\pi\)
\(84\) −0.321393 + 4.57129i −0.0350669 + 0.498769i
\(85\) −16.2366 + 9.37418i −1.76110 + 1.01677i
\(86\) 4.56492 + 7.90667i 0.492248 + 0.852598i
\(87\) −0.0358542 + 0.252602i −0.00384398 + 0.0270818i
\(88\) 0.741475 + 1.28427i 0.0790415 + 0.136904i
\(89\) 1.72669i 0.183029i 0.995804 + 0.0915146i \(0.0291708\pi\)
−0.995804 + 0.0915146i \(0.970829\pi\)
\(90\) −2.77622 + 9.58255i −0.292639 + 1.01009i
\(91\) −0.940096 9.49296i −0.0985488 0.995132i
\(92\) 4.00965i 0.418035i
\(93\) −2.36587 0.335810i −0.245329 0.0348219i
\(94\) −8.41249 + 4.85696i −0.867682 + 0.500957i
\(95\) 17.8446i 1.83082i
\(96\) 0.646635 + 1.60682i 0.0659969 + 0.163995i
\(97\) 7.27311 + 12.5974i 0.738472 + 1.27907i 0.953183 + 0.302393i \(0.0977856\pi\)
−0.214711 + 0.976678i \(0.568881\pi\)
\(98\) −4.32058 5.50750i −0.436444 0.556342i
\(99\) 4.27313 + 1.23799i 0.429466 + 0.124423i
\(100\) 3.02959 5.24741i 0.302959 0.524741i
\(101\) −3.95639 6.85266i −0.393675 0.681865i 0.599256 0.800558i \(-0.295463\pi\)
−0.992931 + 0.118692i \(0.962130\pi\)
\(102\) 3.64553 + 9.05876i 0.360961 + 0.896951i
\(103\) 9.50831 5.48962i 0.936881 0.540909i 0.0479000 0.998852i \(-0.484747\pi\)
0.888981 + 0.457943i \(0.151414\pi\)
\(104\) −1.88919 3.07099i −0.185250 0.301135i
\(105\) −6.67538 13.6997i −0.651451 1.33696i
\(106\) −10.6632 6.15640i −1.03570 0.597963i
\(107\) 18.4067i 1.77944i 0.456506 + 0.889721i \(0.349101\pi\)
−0.456506 + 0.889721i \(0.650899\pi\)
\(108\) 4.73819 + 2.13298i 0.455932 + 0.205246i
\(109\) −17.6648 10.1988i −1.69198 0.976867i −0.952915 0.303236i \(-0.901933\pi\)
−0.739068 0.673631i \(-0.764734\pi\)
\(110\) −4.27089 2.46580i −0.407214 0.235105i
\(111\) 16.3348 6.57364i 1.55043 0.623942i
\(112\) −2.37914 1.15746i −0.224807 0.109370i
\(113\) 6.98437 4.03243i 0.657035 0.379339i −0.134111 0.990966i \(-0.542818\pi\)
0.791146 + 0.611627i \(0.209485\pi\)
\(114\) 9.20183 + 1.30610i 0.861831 + 0.122328i
\(115\) −6.66712 11.5478i −0.621712 1.07684i
\(116\) −0.127567 0.0736508i −0.0118443 0.00683831i
\(117\) −10.4693 2.71895i −0.967892 0.251367i
\(118\) 0.151480i 0.0139449i
\(119\) −13.4129 6.52540i −1.22955 0.598183i
\(120\) −4.53407 3.55243i −0.413902 0.324291i
\(121\) 4.40043 7.62177i 0.400039 0.692888i
\(122\) −6.32641 3.65255i −0.572766 0.330687i
\(123\) −0.204824 + 1.44304i −0.0184683 + 0.130114i
\(124\) 0.689813 1.19479i 0.0619470 0.107295i
\(125\) 3.52236i 0.315049i
\(126\) −7.55306 + 2.43954i −0.672880 + 0.217331i
\(127\) −7.85389 + 13.6033i −0.696920 + 1.20710i 0.272610 + 0.962125i \(0.412113\pi\)
−0.969529 + 0.244975i \(0.921220\pi\)
\(128\) −1.00000 −0.0883883
\(129\) −9.75274 + 12.4477i −0.858681 + 1.09596i
\(130\) 10.5472 + 5.70316i 0.925051 + 0.500200i
\(131\) −4.29105 7.43232i −0.374911 0.649365i 0.615403 0.788213i \(-0.288993\pi\)
−0.990314 + 0.138848i \(0.955660\pi\)
\(132\) −1.58413 + 2.02187i −0.137881 + 0.175981i
\(133\) −11.7619 + 7.95050i −1.01989 + 0.689396i
\(134\) 8.61136 4.97177i 0.743909 0.429496i
\(135\) −17.1926 + 1.73553i −1.47970 + 0.149371i
\(136\) −5.63770 −0.483429
\(137\) −11.3708 −0.971473 −0.485736 0.874105i \(-0.661449\pi\)
−0.485736 + 0.874105i \(0.661449\pi\)
\(138\) −6.44278 + 2.59278i −0.548446 + 0.220712i
\(139\) 8.24504 4.76027i 0.699335 0.403761i −0.107765 0.994176i \(-0.534369\pi\)
0.807100 + 0.590415i \(0.201036\pi\)
\(140\) 8.77649 0.622472i 0.741749 0.0526085i
\(141\) −13.2441 10.3767i −1.11535 0.873873i
\(142\) −2.25453 3.90495i −0.189196 0.327696i
\(143\) 2.54320 4.70329i 0.212673 0.393309i
\(144\) −2.16373 + 2.07805i −0.180311 + 0.173171i
\(145\) 0.489857 0.0406804
\(146\) −1.99167 + 3.44967i −0.164831 + 0.285496i
\(147\) 6.05572 10.5037i 0.499467 0.866333i
\(148\) 10.1659i 0.835634i
\(149\) 0.882372 1.52831i 0.0722867 0.125204i −0.827616 0.561294i \(-0.810304\pi\)
0.899903 + 0.436090i \(0.143637\pi\)
\(150\) 10.3907 + 1.47485i 0.848395 + 0.120421i
\(151\) 8.77338 + 5.06531i 0.713967 + 0.412209i 0.812528 0.582922i \(-0.198091\pi\)
−0.0985609 + 0.995131i \(0.531424\pi\)
\(152\) −2.68297 + 4.64703i −0.217617 + 0.376924i
\(153\) −12.1984 + 11.7154i −0.986186 + 0.947135i
\(154\) −0.277578 3.91369i −0.0223679 0.315374i
\(155\) 4.58799i 0.368516i
\(156\) 3.71290 5.02139i 0.297270 0.402033i
\(157\) 5.26499 + 3.03974i 0.420192 + 0.242598i 0.695159 0.718856i \(-0.255334\pi\)
−0.274968 + 0.961454i \(0.588667\pi\)
\(158\) −1.75435 3.03863i −0.139569 0.241740i
\(159\) 2.99702 21.1148i 0.237679 1.67451i
\(160\) 2.88000 1.66277i 0.227684 0.131453i
\(161\) 4.64101 9.53951i 0.365763 0.751819i
\(162\) −0.363431 + 8.99266i −0.0285538 + 0.706530i
\(163\) 12.7222 + 7.34518i 0.996481 + 0.575319i 0.907205 0.420688i \(-0.138211\pi\)
0.0892760 + 0.996007i \(0.471545\pi\)
\(164\) −0.728750 0.420744i −0.0569058 0.0328546i
\(165\) 1.20039 8.45702i 0.0934499 0.658378i
\(166\) 11.3089i 0.877741i
\(167\) −11.1837 6.45688i −0.865417 0.499649i 0.000405558 1.00000i \(-0.499871\pi\)
−0.865823 + 0.500351i \(0.833204\pi\)
\(168\) 0.321393 4.57129i 0.0247960 0.352683i
\(169\) −5.86193 + 11.6034i −0.450918 + 0.892565i
\(170\) 16.2366 9.37418i 1.24529 0.718967i
\(171\) 3.85155 + 15.6302i 0.294536 + 1.19527i
\(172\) −4.56492 7.90667i −0.348072 0.602878i
\(173\) −4.29211 + 7.43415i −0.326323 + 0.565208i −0.981779 0.190025i \(-0.939143\pi\)
0.655456 + 0.755233i \(0.272476\pi\)
\(174\) 0.0358542 0.252602i 0.00271810 0.0191497i
\(175\) −13.2815 + 8.97767i −1.00399 + 0.678648i
\(176\) −0.741475 1.28427i −0.0558908 0.0968057i
\(177\) 0.243401 0.0979524i 0.0182952 0.00736255i
\(178\) 1.72669i 0.129421i
\(179\) 5.43096 3.13557i 0.405929 0.234363i −0.283110 0.959087i \(-0.591366\pi\)
0.689039 + 0.724724i \(0.258033\pi\)
\(180\) 2.77622 9.58255i 0.206927 0.714241i
\(181\) 1.79286i 0.133262i 0.997778 + 0.0666312i \(0.0212251\pi\)
−0.997778 + 0.0666312i \(0.978775\pi\)
\(182\) 0.940096 + 9.49296i 0.0696846 + 0.703665i
\(183\) 1.77811 12.5273i 0.131442 0.926041i
\(184\) 4.00965i 0.295596i
\(185\) −16.9036 29.2778i −1.24278 2.15255i
\(186\) 2.36587 + 0.335810i 0.173474 + 0.0246228i
\(187\) −4.18021 7.24034i −0.305687 0.529466i
\(188\) 8.41249 4.85696i 0.613544 0.354230i
\(189\) −8.80396 10.5589i −0.640394 0.768047i
\(190\) 17.8446i 1.29458i
\(191\) 13.2662 + 7.65925i 0.959909 + 0.554204i 0.896145 0.443761i \(-0.146356\pi\)
0.0637638 + 0.997965i \(0.479690\pi\)
\(192\) −0.646635 1.60682i −0.0466668 0.115962i
\(193\) 15.1366 8.73915i 1.08956 0.629058i 0.156100 0.987741i \(-0.450108\pi\)
0.933459 + 0.358684i \(0.116774\pi\)
\(194\) −7.27311 12.5974i −0.522179 0.904440i
\(195\) −2.34375 + 20.6353i −0.167839 + 1.47772i
\(196\) 4.32058 + 5.50750i 0.308613 + 0.393393i
\(197\) −0.179054 + 0.310131i −0.0127571 + 0.0220959i −0.872333 0.488911i \(-0.837394\pi\)
0.859576 + 0.511007i \(0.170727\pi\)
\(198\) −4.27313 1.23799i −0.303678 0.0879804i
\(199\) 0.384502i 0.0272566i −0.999907 0.0136283i \(-0.995662\pi\)
0.999907 0.0136283i \(-0.00433816\pi\)
\(200\) −3.02959 + 5.24741i −0.214225 + 0.371048i
\(201\) 13.5571 + 10.6220i 0.956247 + 0.749216i
\(202\) 3.95639 + 6.85266i 0.278370 + 0.482152i
\(203\) 0.218251 + 0.322879i 0.0153182 + 0.0226617i
\(204\) −3.64553 9.05876i −0.255238 0.634240i
\(205\) 2.79840 0.195449
\(206\) −9.50831 + 5.48962i −0.662475 + 0.382480i
\(207\) −8.33226 8.67580i −0.579132 0.603010i
\(208\) 1.88919 + 3.07099i 0.130992 + 0.212935i
\(209\) −7.95741 −0.550425
\(210\) 6.67538 + 13.6997i 0.460645 + 0.945370i
\(211\) −1.26041 + 2.18309i −0.0867699 + 0.150290i −0.906144 0.422969i \(-0.860988\pi\)
0.819374 + 0.573259i \(0.194321\pi\)
\(212\) 10.6632 + 6.15640i 0.732352 + 0.422823i
\(213\) 4.81669 6.14769i 0.330034 0.421233i
\(214\) 18.4067i 1.25825i
\(215\) 26.2939 + 15.1808i 1.79323 + 1.03532i
\(216\) −4.73819 2.13298i −0.322393 0.145131i
\(217\) −3.02408 + 2.04414i −0.205288 + 0.138765i
\(218\) 17.6648 + 10.1988i 1.19641 + 0.690749i
\(219\) −6.83087 0.969570i −0.461587 0.0655175i
\(220\) 4.27089 + 2.46580i 0.287944 + 0.166244i
\(221\) 10.6507 + 17.3133i 0.716442 + 1.16462i
\(222\) −16.3348 + 6.57364i −1.09632 + 0.441194i
\(223\) −3.82570 + 6.62631i −0.256188 + 0.443731i −0.965218 0.261448i \(-0.915800\pi\)
0.709030 + 0.705179i \(0.249133\pi\)
\(224\) 2.37914 + 1.15746i 0.158963 + 0.0773360i
\(225\) 4.34916 + 17.6496i 0.289944 + 1.17664i
\(226\) −6.98437 + 4.03243i −0.464594 + 0.268233i
\(227\) 4.34104i 0.288125i 0.989569 + 0.144062i \(0.0460166\pi\)
−0.989569 + 0.144062i \(0.953983\pi\)
\(228\) −9.20183 1.30610i −0.609406 0.0864989i
\(229\) 3.62585 + 6.28015i 0.239603 + 0.415004i 0.960600 0.277933i \(-0.0896494\pi\)
−0.720998 + 0.692938i \(0.756316\pi\)
\(230\) 6.66712 + 11.5478i 0.439617 + 0.761439i
\(231\) 6.10909 2.97674i 0.401948 0.195855i
\(232\) 0.127567 + 0.0736508i 0.00837518 + 0.00483541i
\(233\) −5.48600 + 3.16734i −0.359400 + 0.207499i −0.668817 0.743427i \(-0.733199\pi\)
0.309418 + 0.950926i \(0.399866\pi\)
\(234\) 10.4693 + 2.71895i 0.684403 + 0.177744i
\(235\) −16.1520 + 27.9760i −1.05364 + 1.82496i
\(236\) 0.151480i 0.00986052i
\(237\) 3.74810 4.78381i 0.243465 0.310742i
\(238\) 13.4129 + 6.52540i 0.869426 + 0.422979i
\(239\) 20.8047 1.34574 0.672870 0.739760i \(-0.265061\pi\)
0.672870 + 0.739760i \(0.265061\pi\)
\(240\) 4.53407 + 3.55243i 0.292673 + 0.229308i
\(241\) 14.7826 0.952234 0.476117 0.879382i \(-0.342044\pi\)
0.476117 + 0.879382i \(0.342044\pi\)
\(242\) −4.40043 + 7.62177i −0.282870 + 0.489946i
\(243\) −14.6846 + 5.23100i −0.942016 + 0.335569i
\(244\) 6.32641 + 3.65255i 0.405007 + 0.233831i
\(245\) −21.6010 8.67748i −1.38003 0.554384i
\(246\) 0.204824 1.44304i 0.0130591 0.0920046i
\(247\) 19.3396 0.539768i 1.23055 0.0343446i
\(248\) −0.689813 + 1.19479i −0.0438031 + 0.0758693i
\(249\) 18.1713 7.31273i 1.15156 0.463425i
\(250\) 3.52236i 0.222774i
\(251\) −2.33059 4.03669i −0.147105 0.254794i 0.783051 0.621957i \(-0.213662\pi\)
−0.930156 + 0.367164i \(0.880329\pi\)
\(252\) 7.55306 2.43954i 0.475798 0.153676i
\(253\) 5.14949 2.97306i 0.323746 0.186915i
\(254\) 7.85389 13.6033i 0.492797 0.853549i
\(255\) 25.5617 + 20.0275i 1.60074 + 1.25417i
\(256\) 1.00000 0.0625000
\(257\) −4.37756 −0.273064 −0.136532 0.990636i \(-0.543596\pi\)
−0.136532 + 0.990636i \(0.543596\pi\)
\(258\) 9.75274 12.4477i 0.607179 0.774961i
\(259\) 11.7666 24.1861i 0.731143 1.50285i
\(260\) −10.5472 5.70316i −0.654110 0.353695i
\(261\) 0.429070 0.105730i 0.0265588 0.00654453i
\(262\) 4.29105 + 7.43232i 0.265102 + 0.459171i
\(263\) −3.96518 + 2.28930i −0.244503 + 0.141164i −0.617245 0.786771i \(-0.711751\pi\)
0.372741 + 0.927935i \(0.378418\pi\)
\(264\) 1.58413 2.02187i 0.0974964 0.124438i
\(265\) −40.9467 −2.51533
\(266\) 11.7619 7.95050i 0.721168 0.487477i
\(267\) 2.77448 1.11654i 0.169796 0.0683312i
\(268\) −8.61136 + 4.97177i −0.526023 + 0.303699i
\(269\) −12.3680 −0.754092 −0.377046 0.926195i \(-0.623060\pi\)
−0.377046 + 0.926195i \(0.623060\pi\)
\(270\) 17.1926 1.73553i 1.04631 0.105621i
\(271\) 31.5193 1.91466 0.957331 0.288995i \(-0.0933210\pi\)
0.957331 + 0.288995i \(0.0933210\pi\)
\(272\) 5.63770 0.341836
\(273\) −14.6456 + 7.64904i −0.886389 + 0.462941i
\(274\) 11.3708 0.686935
\(275\) −8.98547 −0.541844
\(276\) 6.44278 2.59278i 0.387810 0.156067i
\(277\) 3.41244 0.205033 0.102517 0.994731i \(-0.467310\pi\)
0.102517 + 0.994731i \(0.467310\pi\)
\(278\) −8.24504 + 4.76027i −0.494504 + 0.285502i
\(279\) 0.990266 + 4.01866i 0.0592857 + 0.240591i
\(280\) −8.77649 + 0.622472i −0.524496 + 0.0371998i
\(281\) −18.1663 −1.08371 −0.541856 0.840471i \(-0.682278\pi\)
−0.541856 + 0.840471i \(0.682278\pi\)
\(282\) 13.2441 + 10.3767i 0.788672 + 0.617922i
\(283\) −10.9177 + 6.30333i −0.648989 + 0.374694i −0.788069 0.615587i \(-0.788919\pi\)
0.139079 + 0.990281i \(0.455586\pi\)
\(284\) 2.25453 + 3.90495i 0.133782 + 0.231716i
\(285\) 28.6730 11.5389i 1.69844 0.683507i
\(286\) −2.54320 + 4.70329i −0.150382 + 0.278112i
\(287\) 1.24680 + 1.84450i 0.0735963 + 0.108878i
\(288\) 2.16373 2.07805i 0.127499 0.122450i
\(289\) 14.7837 0.869627
\(290\) −0.489857 −0.0287654
\(291\) 15.5387 19.8325i 0.910893 1.16260i
\(292\) 1.99167 3.44967i 0.116553 0.201876i
\(293\) 24.4527 14.1178i 1.42854 0.824769i 0.431536 0.902096i \(-0.357972\pi\)
0.997006 + 0.0773264i \(0.0246383\pi\)
\(294\) −6.05572 + 10.5037i −0.353177 + 0.612590i
\(295\) −0.251876 0.436263i −0.0146648 0.0254002i
\(296\) 10.1659i 0.590882i
\(297\) −0.773923 7.66667i −0.0449075 0.444865i
\(298\) −0.882372 + 1.52831i −0.0511144 + 0.0885328i
\(299\) −12.3136 + 7.57499i −0.712114 + 0.438073i
\(300\) −10.3907 1.47485i −0.599906 0.0851504i
\(301\) 1.70892 + 24.0947i 0.0985003 + 1.38880i
\(302\) −8.77338 5.06531i −0.504851 0.291476i
\(303\) −8.45264 + 10.7884i −0.485592 + 0.619775i
\(304\) 2.68297 4.64703i 0.153879 0.266526i
\(305\) −24.2934 −1.39104
\(306\) 12.1984 11.7154i 0.697339 0.669726i
\(307\) 4.60540 0.262844 0.131422 0.991327i \(-0.458046\pi\)
0.131422 + 0.991327i \(0.458046\pi\)
\(308\) 0.277578 + 3.91369i 0.0158165 + 0.223003i
\(309\) −14.9692 11.7283i −0.851570 0.667202i
\(310\) 4.58799i 0.260580i
\(311\) 3.80897 6.59733i 0.215987 0.374100i −0.737591 0.675248i \(-0.764037\pi\)
0.953577 + 0.301148i \(0.0973699\pi\)
\(312\) −3.71290 + 5.02139i −0.210202 + 0.284280i
\(313\) 12.3381 7.12342i 0.697392 0.402639i −0.108983 0.994044i \(-0.534760\pi\)
0.806375 + 0.591404i \(0.201426\pi\)
\(314\) −5.26499 3.03974i −0.297121 0.171543i
\(315\) −17.6964 + 19.5848i −0.997080 + 1.10348i
\(316\) 1.75435 + 3.03863i 0.0986900 + 0.170936i
\(317\) −1.03201 1.78749i −0.0579634 0.100395i 0.835588 0.549357i \(-0.185127\pi\)
−0.893551 + 0.448962i \(0.851794\pi\)
\(318\) −2.99702 + 21.1148i −0.168065 + 1.18406i
\(319\) 0.218441i 0.0122303i
\(320\) −2.88000 + 1.66277i −0.160997 + 0.0929515i
\(321\) 29.5762 11.9024i 1.65078 0.664327i
\(322\) −4.64101 + 9.53951i −0.258633 + 0.531616i
\(323\) 15.1258 26.1986i 0.841619 1.45773i
\(324\) 0.363431 8.99266i 0.0201906 0.499592i
\(325\) 21.8382 0.609503i 1.21137 0.0338092i
\(326\) −12.7222 7.34518i −0.704619 0.406812i
\(327\) −4.96491 + 34.9790i −0.274560 + 1.93435i
\(328\) 0.728750 + 0.420744i 0.0402385 + 0.0232317i
\(329\) −25.6362 + 1.81824i −1.41337 + 0.100243i
\(330\) −1.20039 + 8.45702i −0.0660791 + 0.465544i
\(331\) −8.16315 4.71299i −0.448687 0.259050i 0.258588 0.965988i \(-0.416743\pi\)
−0.707276 + 0.706938i \(0.750076\pi\)
\(332\) 11.3089i 0.620657i
\(333\) −21.1253 21.9963i −1.15766 1.20539i
\(334\) 11.1837 + 6.45688i 0.611942 + 0.353305i
\(335\) 16.5338 28.6374i 0.903338 1.56463i
\(336\) −0.321393 + 4.57129i −0.0175334 + 0.249384i
\(337\) −6.96024 −0.379148 −0.189574 0.981866i \(-0.560711\pi\)
−0.189574 + 0.981866i \(0.560711\pi\)
\(338\) 5.86193 11.6034i 0.318847 0.631139i
\(339\) −10.9957 8.61511i −0.597206 0.467908i
\(340\) −16.2366 + 9.37418i −0.880551 + 0.508387i
\(341\) −2.04591 −0.110793
\(342\) −3.85155 15.6302i −0.208268 0.845187i
\(343\) −3.90454 18.1040i −0.210825 0.977524i
\(344\) 4.56492 + 7.90667i 0.246124 + 0.426299i
\(345\) −14.2440 + 18.1801i −0.766872 + 0.978781i
\(346\) 4.29211 7.43415i 0.230745 0.399662i
\(347\) 24.6761i 1.32468i −0.749202 0.662341i \(-0.769563\pi\)
0.749202 0.662341i \(-0.230437\pi\)
\(348\) −0.0358542 + 0.252602i −0.00192199 + 0.0135409i
\(349\) −10.9530 + 18.9712i −0.586302 + 1.01551i 0.408410 + 0.912799i \(0.366084\pi\)
−0.994712 + 0.102706i \(0.967250\pi\)
\(350\) 13.2815 8.97767i 0.709925 0.479877i
\(351\) 2.40098 + 18.5805i 0.128155 + 0.991754i
\(352\) 0.741475 + 1.28427i 0.0395207 + 0.0684519i
\(353\) 27.9812 16.1550i 1.48929 0.859843i 0.489366 0.872078i \(-0.337228\pi\)
0.999925 + 0.0122353i \(0.00389473\pi\)
\(354\) −0.243401 + 0.0979524i −0.0129366 + 0.00520611i
\(355\) −12.9861 7.49751i −0.689229 0.397926i
\(356\) 1.72669i 0.0915146i
\(357\) −1.81192 + 25.7716i −0.0958969 + 1.36398i
\(358\) −5.43096 + 3.13557i −0.287035 + 0.165720i
\(359\) −11.5648 20.0308i −0.610367 1.05719i −0.991179 0.132533i \(-0.957689\pi\)
0.380812 0.924652i \(-0.375644\pi\)
\(360\) −2.77622 + 9.58255i −0.146320 + 0.505045i
\(361\) −4.89661 8.48117i −0.257716 0.446378i
\(362\) 1.79286i 0.0942307i
\(363\) −15.0923 2.14219i −0.792138 0.112436i
\(364\) −0.940096 9.49296i −0.0492744 0.497566i
\(365\) 13.2467i 0.693364i
\(366\) −1.77811 + 12.5273i −0.0929435 + 0.654810i
\(367\) −5.48395 + 3.16616i −0.286260 + 0.165272i −0.636254 0.771480i \(-0.719517\pi\)
0.349994 + 0.936752i \(0.386184\pi\)
\(368\) 4.00965i 0.209018i
\(369\) 2.45114 0.604002i 0.127601 0.0314431i
\(370\) 16.9036 + 29.2778i 0.878775 + 1.52208i
\(371\) −18.2434 26.9891i −0.947151 1.40121i
\(372\) −2.36587 0.335810i −0.122665 0.0174109i
\(373\) 10.0844 17.4667i 0.522150 0.904391i −0.477518 0.878622i \(-0.658463\pi\)
0.999668 0.0257686i \(-0.00820332\pi\)
\(374\) 4.18021 + 7.24034i 0.216154 + 0.374389i
\(375\) 5.65979 2.27768i 0.292270 0.117619i
\(376\) −8.41249 + 4.85696i −0.433841 + 0.250478i
\(377\) −0.0148173 0.530897i −0.000763130 0.0273426i
\(378\) 8.80396 + 10.5589i 0.452827 + 0.543091i
\(379\) 3.77772 + 2.18107i 0.194049 + 0.112034i 0.593876 0.804556i \(-0.297597\pi\)
−0.399828 + 0.916590i \(0.630930\pi\)
\(380\) 17.8446i 0.915408i
\(381\) 26.9367 + 3.82338i 1.38001 + 0.195878i
\(382\) −13.2662 7.65925i −0.678758 0.391881i
\(383\) −2.41965 1.39698i −0.123638 0.0713825i 0.436905 0.899507i \(-0.356074\pi\)
−0.560544 + 0.828125i \(0.689408\pi\)
\(384\) 0.646635 + 1.60682i 0.0329984 + 0.0819976i
\(385\) −7.30697 10.8099i −0.372398 0.550921i
\(386\) −15.1366 + 8.73915i −0.770435 + 0.444811i
\(387\) 26.3077 + 7.62175i 1.33729 + 0.387435i
\(388\) 7.27311 + 12.5974i 0.369236 + 0.639535i
\(389\) −27.3534 15.7925i −1.38687 0.800710i −0.393909 0.919149i \(-0.628878\pi\)
−0.992961 + 0.118439i \(0.962211\pi\)
\(390\) 2.34375 20.6353i 0.118680 1.04491i
\(391\) 22.6052i 1.14320i
\(392\) −4.32058 5.50750i −0.218222 0.278171i
\(393\) −9.16765 + 11.7009i −0.462447 + 0.590234i
\(394\) 0.179054 0.310131i 0.00902063 0.0156242i
\(395\) −10.1051 5.83416i −0.508441 0.293548i
\(396\) 4.27313 + 1.23799i 0.214733 + 0.0622115i
\(397\) −5.00731 + 8.67291i −0.251309 + 0.435281i −0.963887 0.266313i \(-0.914195\pi\)
0.712577 + 0.701594i \(0.247528\pi\)
\(398\) 0.384502i 0.0192734i
\(399\) 20.3807 + 13.7581i 1.02031 + 0.688769i
\(400\) 3.02959 5.24741i 0.151480 0.262370i
\(401\) 34.2538 1.71055 0.855277 0.518171i \(-0.173387\pi\)
0.855277 + 0.518171i \(0.173387\pi\)
\(402\) −13.5571 10.6220i −0.676169 0.529776i
\(403\) 4.97237 0.138779i 0.247692 0.00691306i
\(404\) −3.95639 6.85266i −0.196838 0.340933i
\(405\) 13.9060 + 26.5031i 0.690996 + 1.31695i
\(406\) −0.218251 0.322879i −0.0108316 0.0160242i
\(407\) 13.0558 7.53778i 0.647153 0.373634i
\(408\) 3.64553 + 9.05876i 0.180481 + 0.448475i
\(409\) 21.0506 1.04088 0.520441 0.853897i \(-0.325767\pi\)
0.520441 + 0.853897i \(0.325767\pi\)
\(410\) −2.79840 −0.138203
\(411\) 7.35275 + 18.2708i 0.362685 + 0.901232i
\(412\) 9.50831 5.48962i 0.468441 0.270454i
\(413\) 0.175332 0.360392i 0.00862753 0.0177337i
\(414\) 8.33226 + 8.67580i 0.409508 + 0.426392i
\(415\) −18.8041 32.5696i −0.923056 1.59878i
\(416\) −1.88919 3.07099i −0.0926251 0.150568i
\(417\) −12.9804 10.1701i −0.635654 0.498033i
\(418\) 7.95741 0.389209
\(419\) 1.06539 1.84530i 0.0520475 0.0901490i −0.838828 0.544397i \(-0.816759\pi\)
0.890875 + 0.454248i \(0.150092\pi\)
\(420\) −6.67538 13.6997i −0.325725 0.668478i
\(421\) 4.87507i 0.237596i −0.992918 0.118798i \(-0.962096\pi\)
0.992918 0.118798i \(-0.0379041\pi\)
\(422\) 1.26041 2.18309i 0.0613556 0.106271i
\(423\) −8.10935 + 27.9907i −0.394290 + 1.36095i
\(424\) −10.6632 6.15640i −0.517851 0.298981i
\(425\) 17.0799 29.5833i 0.828499 1.43500i
\(426\) −4.81669 + 6.14769i −0.233370 + 0.297857i
\(427\) −10.8237 16.0125i −0.523796 0.774898i
\(428\) 18.4067i 0.889721i
\(429\) −9.20186 1.04514i −0.444270 0.0504600i
\(430\) −26.2939 15.1808i −1.26800 0.732083i
\(431\) 4.97236 + 8.61238i 0.239510 + 0.414844i 0.960574 0.278025i \(-0.0896798\pi\)
−0.721064 + 0.692869i \(0.756346\pi\)
\(432\) 4.73819 + 2.13298i 0.227966 + 0.102623i
\(433\) 26.0463 15.0378i 1.25170 0.722672i 0.280257 0.959925i \(-0.409580\pi\)
0.971448 + 0.237253i \(0.0762470\pi\)
\(434\) 3.02408 2.04414i 0.145160 0.0981218i
\(435\) −0.316758 0.787111i −0.0151874 0.0377391i
\(436\) −17.6648 10.1988i −0.845992 0.488434i
\(437\) 18.6330 + 10.7578i 0.891337 + 0.514614i
\(438\) 6.83087 + 0.969570i 0.326391 + 0.0463279i
\(439\) 9.77607i 0.466586i 0.972406 + 0.233293i \(0.0749502\pi\)
−0.972406 + 0.233293i \(0.925050\pi\)
\(440\) −4.27089 2.46580i −0.203607 0.117552i
\(441\) −20.7934 2.93837i −0.990163 0.139922i
\(442\) −10.6507 17.3133i −0.506601 0.823510i
\(443\) −20.0070 + 11.5511i −0.950562 + 0.548807i −0.893255 0.449550i \(-0.851585\pi\)
−0.0573064 + 0.998357i \(0.518251\pi\)
\(444\) 16.3348 6.57364i 0.775215 0.311971i
\(445\) −2.87109 4.97288i −0.136103 0.235737i
\(446\) 3.82570 6.62631i 0.181152 0.313765i
\(447\) −3.02629 0.429551i −0.143139 0.0203171i
\(448\) −2.37914 1.15746i −0.112404 0.0546848i
\(449\) 11.0033 + 19.0584i 0.519280 + 0.899419i 0.999749 + 0.0224077i \(0.00713318\pi\)
−0.480469 + 0.877012i \(0.659533\pi\)
\(450\) −4.34916 17.6496i −0.205021 0.832010i
\(451\) 1.24788i 0.0587606i
\(452\) 6.98437 4.03243i 0.328517 0.189670i
\(453\) 2.46586 17.3726i 0.115856 0.816237i
\(454\) 4.34104i 0.203735i
\(455\) 18.4921 + 25.7765i 0.866921 + 1.20842i
\(456\) 9.20183 + 1.30610i 0.430915 + 0.0611639i
\(457\) 11.4044i 0.533476i −0.963769 0.266738i \(-0.914054\pi\)
0.963769 0.266738i \(-0.0859458\pi\)
\(458\) −3.62585 6.28015i −0.169425 0.293452i
\(459\) 26.7125 + 12.0251i 1.24683 + 0.561283i
\(460\) −6.66712 11.5478i −0.310856 0.538419i
\(461\) −28.6371 + 16.5336i −1.33376 + 0.770048i −0.985874 0.167489i \(-0.946434\pi\)
−0.347888 + 0.937536i \(0.613101\pi\)
\(462\) −6.10909 + 2.97674i −0.284221 + 0.138491i
\(463\) 8.90983i 0.414075i −0.978333 0.207037i \(-0.933618\pi\)
0.978333 0.207037i \(-0.0663822\pi\)
\(464\) −0.127567 0.0736508i −0.00592215 0.00341915i
\(465\) 7.37207 2.96675i 0.341871 0.137580i
\(466\) 5.48600 3.16734i 0.254134 0.146724i
\(467\) 19.5630 + 33.8841i 0.905269 + 1.56797i 0.820556 + 0.571566i \(0.193664\pi\)
0.0847125 + 0.996405i \(0.473003\pi\)
\(468\) −10.4693 2.71895i −0.483946 0.125684i
\(469\) 26.2422 1.86123i 1.21175 0.0859435i
\(470\) 16.1520 27.9760i 0.745035 1.29044i
\(471\) 1.47979 10.4255i 0.0681851 0.480381i
\(472\) 0.151480i 0.00697244i
\(473\) −6.76954 + 11.7252i −0.311264 + 0.539125i
\(474\) −3.74810 + 4.78381i −0.172156 + 0.219727i
\(475\) −16.2566 28.1572i −0.745903 1.29194i
\(476\) −13.4129 6.52540i −0.614777 0.299091i
\(477\) −35.8656 + 8.83787i −1.64217 + 0.404658i
\(478\) −20.8047 −0.951583
\(479\) −2.70422 + 1.56128i −0.123559 + 0.0713369i −0.560506 0.828151i \(-0.689393\pi\)
0.436947 + 0.899487i \(0.356060\pi\)
\(480\) −4.53407 3.55243i −0.206951 0.162145i
\(481\) −31.2194 + 19.2053i −1.42348 + 0.875689i
\(482\) −14.7826 −0.673331
\(483\) −18.3293 1.28868i −0.834012 0.0586368i
\(484\) 4.40043 7.62177i 0.200020 0.346444i
\(485\) −41.8931 24.1870i −1.90227 1.09827i
\(486\) 14.6846 5.23100i 0.666106 0.237283i
\(487\) 23.2052i 1.05153i 0.850631 + 0.525763i \(0.176220\pi\)
−0.850631 + 0.525763i \(0.823780\pi\)
\(488\) −6.32641 3.65255i −0.286383 0.165343i
\(489\) 3.57573 25.1919i 0.161700 1.13922i
\(490\) 21.6010 + 8.67748i 0.975832 + 0.392009i
\(491\) −25.1240 14.5054i −1.13383 0.654618i −0.188936 0.981989i \(-0.560504\pi\)
−0.944896 + 0.327372i \(0.893837\pi\)
\(492\) −0.204824 + 1.44304i −0.00923417 + 0.0650571i
\(493\) −0.719184 0.415221i −0.0323904 0.0187006i
\(494\) −19.3396 + 0.539768i −0.870130 + 0.0242853i
\(495\) −14.3651 + 3.53980i −0.645663 + 0.159102i
\(496\) 0.689813 1.19479i 0.0309735 0.0536477i
\(497\) −0.844002 11.8999i −0.0378587 0.533785i
\(498\) −18.1713 + 7.31273i −0.814277 + 0.327691i
\(499\) −23.4008 + 13.5105i −1.04757 + 0.604812i −0.921967 0.387269i \(-0.873419\pi\)
−0.125599 + 0.992081i \(0.540085\pi\)
\(500\) 3.52236i 0.157525i
\(501\) −3.14330 + 22.1453i −0.140432 + 0.989381i
\(502\) 2.33059 + 4.03669i 0.104019 + 0.180166i
\(503\) 3.83135 + 6.63609i 0.170831 + 0.295889i 0.938711 0.344706i \(-0.112021\pi\)
−0.767879 + 0.640594i \(0.778688\pi\)
\(504\) −7.55306 + 2.43954i −0.336440 + 0.108666i
\(505\) 22.7888 + 13.1571i 1.01409 + 0.585483i
\(506\) −5.14949 + 2.97306i −0.228923 + 0.132169i
\(507\) 22.4350 + 1.91593i 0.996373 + 0.0850893i
\(508\) −7.85389 + 13.6033i −0.348460 + 0.603550i
\(509\) 18.7613i 0.831580i 0.909461 + 0.415790i \(0.136495\pi\)
−0.909461 + 0.415790i \(0.863505\pi\)
\(510\) −25.5617 20.0275i −1.13189 0.886834i
\(511\) −8.73129 + 5.90195i −0.386250 + 0.261087i
\(512\) −1.00000 −0.0441942
\(513\) 22.6244 16.2958i 0.998892 0.719477i
\(514\) 4.37756 0.193086
\(515\) −18.2559 + 31.6202i −0.804453 + 1.39335i
\(516\) −9.75274 + 12.4477i −0.429340 + 0.547980i
\(517\) −12.4753 7.20262i −0.548663 0.316771i
\(518\) −11.7666 + 24.1861i −0.516996 + 1.06268i
\(519\) 14.7208 + 2.08946i 0.646169 + 0.0917170i
\(520\) 10.5472 + 5.70316i 0.462525 + 0.250100i
\(521\) 5.90431 10.2266i 0.258673 0.448034i −0.707214 0.707000i \(-0.750048\pi\)
0.965887 + 0.258965i \(0.0833816\pi\)
\(522\) −0.429070 + 0.105730i −0.0187799 + 0.00462768i
\(523\) 15.6615i 0.684828i 0.939549 + 0.342414i \(0.111244\pi\)
−0.939549 + 0.342414i \(0.888756\pi\)
\(524\) −4.29105 7.43232i −0.187456 0.324683i
\(525\) 23.0137 + 15.5356i 1.00440 + 0.678031i
\(526\) 3.96518 2.28930i 0.172890 0.0998181i
\(527\) 3.88896 6.73587i 0.169406 0.293419i
\(528\) −1.58413 + 2.02187i −0.0689403 + 0.0879906i
\(529\) 6.92267 0.300986
\(530\) 40.9467 1.77861
\(531\) −0.314783 0.327762i −0.0136604 0.0142237i
\(532\) −11.7619 + 7.95050i −0.509943 + 0.344698i
\(533\) −0.0846466 3.03285i −0.00366645 0.131367i
\(534\) −2.77448 + 1.11654i −0.120064 + 0.0483174i
\(535\) −30.6060 53.0112i −1.32321 2.29187i
\(536\) 8.61136 4.97177i 0.371954 0.214748i
\(537\) −8.55014 6.69900i −0.368966 0.289083i
\(538\) 12.3680 0.533223
\(539\) 3.86953 9.63248i 0.166673 0.414900i
\(540\) −17.1926 + 1.73553i −0.739852 + 0.0746854i
\(541\) −10.2488 + 5.91717i −0.440632 + 0.254399i −0.703866 0.710333i \(-0.748544\pi\)
0.263234 + 0.964732i \(0.415211\pi\)
\(542\) −31.5193 −1.35387
\(543\) 2.88080 1.15933i 0.123627 0.0497515i
\(544\) −5.63770 −0.241714
\(545\) 67.8329 2.90564
\(546\) 14.6456 7.64904i 0.626772 0.327349i
\(547\) −37.4605 −1.60169 −0.800847 0.598869i \(-0.795617\pi\)
−0.800847 + 0.598869i \(0.795617\pi\)
\(548\) −11.3708 −0.485736
\(549\) −21.2788 + 5.24345i −0.908157 + 0.223785i
\(550\) 8.98547 0.383142
\(551\) −0.684516 + 0.395205i −0.0291613 + 0.0168363i
\(552\) −6.44278 + 2.59278i −0.274223 + 0.110356i
\(553\) −0.656757 9.25990i −0.0279282 0.393771i
\(554\) −3.41244 −0.144981
\(555\) −36.1137 + 46.0930i −1.53294 + 1.95654i
\(556\) 8.24504 4.76027i 0.349667 0.201881i
\(557\) 20.3692 + 35.2805i 0.863071 + 1.49488i 0.868950 + 0.494901i \(0.164796\pi\)
−0.00587835 + 0.999983i \(0.501871\pi\)
\(558\) −0.990266 4.01866i −0.0419213 0.170124i
\(559\) 15.6573 28.9560i 0.662233 1.22471i
\(560\) 8.77649 0.622472i 0.370875 0.0263042i
\(561\) −8.93084 + 11.3987i −0.377060 + 0.481253i
\(562\) 18.1663 0.766300
\(563\) −26.8465 −1.13145 −0.565723 0.824595i \(-0.691403\pi\)
−0.565723 + 0.824595i \(0.691403\pi\)
\(564\) −13.2441 10.3767i −0.557675 0.436937i
\(565\) −13.4100 + 23.2268i −0.564163 + 0.977158i
\(566\) 10.9177 6.30333i 0.458905 0.264949i
\(567\) −11.2733 + 20.9741i −0.473433 + 0.880830i
\(568\) −2.25453 3.90495i −0.0945978 0.163848i
\(569\) 22.6539i 0.949702i 0.880066 + 0.474851i \(0.157498\pi\)
−0.880066 + 0.474851i \(0.842502\pi\)
\(570\) −28.6730 + 11.5389i −1.20098 + 0.483313i
\(571\) 9.25202 16.0250i 0.387185 0.670624i −0.604885 0.796313i \(-0.706781\pi\)
0.992070 + 0.125689i \(0.0401141\pi\)
\(572\) 2.54320 4.70329i 0.106336 0.196655i
\(573\) 3.72863 26.2691i 0.155766 1.09741i
\(574\) −1.24680 1.84450i −0.0520405 0.0769881i
\(575\) 21.0403 + 12.1476i 0.877441 + 0.506591i
\(576\) −2.16373 + 2.07805i −0.0901553 + 0.0865853i
\(577\) −18.4882 + 32.0225i −0.769674 + 1.33312i 0.168065 + 0.985776i \(0.446248\pi\)
−0.937740 + 0.347339i \(0.887085\pi\)
\(578\) −14.7837 −0.614919
\(579\) −23.8301 18.6708i −0.990345 0.775932i
\(580\) 0.489857 0.0203402
\(581\) 13.0896 26.9054i 0.543048 1.11622i
\(582\) −15.5387 + 19.8325i −0.644098 + 0.822082i
\(583\) 18.2593i 0.756222i
\(584\) −1.99167 + 3.44967i −0.0824157 + 0.142748i
\(585\) 34.6727 9.57751i 1.43354 0.395981i
\(586\) −24.4527 + 14.1178i −1.01013 + 0.583200i
\(587\) −13.1402 7.58651i −0.542355 0.313129i 0.203678 0.979038i \(-0.434710\pi\)
−0.746033 + 0.665909i \(0.768044\pi\)
\(588\) 6.05572 10.5037i 0.249734 0.433166i
\(589\) −3.70149 6.41116i −0.152517 0.264167i
\(590\) 0.251876 + 0.436263i 0.0103696 + 0.0179607i
\(591\) 0.614107 + 0.0871662i 0.0252610 + 0.00358554i
\(592\) 10.1659i 0.417817i
\(593\) 5.80586 3.35201i 0.238418 0.137651i −0.376031 0.926607i \(-0.622712\pi\)
0.614449 + 0.788956i \(0.289378\pi\)
\(594\) 0.773923 + 7.66667i 0.0317544 + 0.314567i
\(595\) 49.4792 3.50931i 2.02845 0.143868i
\(596\) 0.882372 1.52831i 0.0361434 0.0626021i
\(597\) −0.617825 + 0.248632i −0.0252859 + 0.0101758i
\(598\) 12.3136 7.57499i 0.503541 0.309765i
\(599\) 39.1019 + 22.5755i 1.59766 + 0.922410i 0.991936 + 0.126736i \(0.0404502\pi\)
0.605725 + 0.795674i \(0.292883\pi\)
\(600\) 10.3907 + 1.47485i 0.424197 + 0.0602104i
\(601\) −39.4613 22.7830i −1.60966 0.929338i −0.989446 0.144905i \(-0.953712\pi\)
−0.620214 0.784432i \(-0.712954\pi\)
\(602\) −1.70892 24.0947i −0.0696503 0.982028i
\(603\) 8.30106 28.6524i 0.338045 1.16682i
\(604\) 8.77338 + 5.06531i 0.356984 + 0.206105i
\(605\) 29.2676i 1.18990i
\(606\) 8.45264 10.7884i 0.343365 0.438247i
\(607\) −41.0161 23.6806i −1.66479 0.961168i −0.970378 0.241591i \(-0.922331\pi\)
−0.694413 0.719576i \(-0.744336\pi\)
\(608\) −2.68297 + 4.64703i −0.108809 + 0.188462i
\(609\) 0.377679 0.559475i 0.0153043 0.0226711i
\(610\) 24.2934 0.983611
\(611\) 30.8084 + 16.6590i 1.24638 + 0.673949i
\(612\) −12.1984 + 11.7154i −0.493093 + 0.473567i
\(613\) −7.39070 + 4.26702i −0.298508 + 0.172343i −0.641772 0.766895i \(-0.721801\pi\)
0.343265 + 0.939239i \(0.388467\pi\)
\(614\) −4.60540 −0.185859
\(615\) −1.80954 4.49651i −0.0729677 0.181317i
\(616\) −0.277578 3.91369i −0.0111839 0.157687i
\(617\) −3.23236 5.59861i −0.130130 0.225392i 0.793597 0.608444i \(-0.208206\pi\)
−0.923727 + 0.383053i \(0.874873\pi\)
\(618\) 14.9692 + 11.7283i 0.602151 + 0.471783i
\(619\) −17.5153 + 30.3373i −0.703998 + 1.21936i 0.263054 + 0.964781i \(0.415270\pi\)
−0.967052 + 0.254579i \(0.918063\pi\)
\(620\) 4.58799i 0.184258i
\(621\) −8.55250 + 18.9985i −0.343200 + 0.762383i
\(622\) −3.80897 + 6.59733i −0.152726 + 0.264529i
\(623\) 1.99858 4.10804i 0.0800713 0.164585i
\(624\) 3.71290 5.02139i 0.148635 0.201016i
\(625\) 9.29110 + 16.0927i 0.371644 + 0.643706i
\(626\) −12.3381 + 7.12342i −0.493131 + 0.284709i
\(627\) 5.14554 + 12.7861i 0.205493 + 0.510628i
\(628\) 5.26499 + 3.03974i 0.210096 + 0.121299i
\(629\) 57.3124i 2.28520i
\(630\) 17.6964 19.5848i 0.705042 0.780279i
\(631\) 23.4343 13.5298i 0.932906 0.538613i 0.0451764 0.998979i \(-0.485615\pi\)
0.887729 + 0.460366i \(0.152282\pi\)
\(632\) −1.75435 3.03863i −0.0697844 0.120870i
\(633\) 4.32284 + 0.613583i 0.171818 + 0.0243877i
\(634\) 1.03201 + 1.78749i 0.0409863 + 0.0709903i
\(635\) 52.2367i 2.07295i
\(636\) 2.99702 21.1148i 0.118840 0.837255i
\(637\) −8.75109 + 23.6732i −0.346731 + 0.937965i
\(638\) 0.218441i 0.00864816i
\(639\) −12.9929 3.76424i −0.513990 0.148911i
\(640\) 2.88000 1.66277i 0.113842 0.0657267i
\(641\) 2.70265i 0.106748i 0.998575 + 0.0533741i \(0.0169976\pi\)
−0.998575 + 0.0533741i \(0.983002\pi\)
\(642\) −29.5762 + 11.9024i −1.16728 + 0.469750i
\(643\) −15.8433 27.4414i −0.624799 1.08218i −0.988580 0.150698i \(-0.951848\pi\)
0.363781 0.931484i \(-0.381486\pi\)
\(644\) 4.64101 9.53951i 0.182881 0.375910i
\(645\) 7.39022 52.0659i 0.290989 2.05009i
\(646\) −15.1258 + 26.1986i −0.595115 + 1.03077i
\(647\) −15.9313 27.5938i −0.626324 1.08483i −0.988283 0.152631i \(-0.951225\pi\)
0.361959 0.932194i \(-0.382108\pi\)
\(648\) −0.363431 + 8.99266i −0.0142769 + 0.353265i
\(649\) 0.194542 0.112319i 0.00763644 0.00440890i
\(650\) −21.8382 + 0.609503i −0.856565 + 0.0239067i
\(651\) 5.24003 + 3.53733i 0.205373 + 0.138639i
\(652\) 12.7222 + 7.34518i 0.498241 + 0.287659i
\(653\) 29.7232i 1.16316i 0.813490 + 0.581579i \(0.197565\pi\)
−0.813490 + 0.581579i \(0.802435\pi\)
\(654\) 4.96491 34.9790i 0.194143 1.36779i
\(655\) 24.7165 + 14.2701i 0.965752 + 0.557577i
\(656\) −0.728750 0.420744i −0.0284529 0.0164273i
\(657\) 2.85915 + 11.6029i 0.111546 + 0.452673i
\(658\) 25.6362 1.81824i 0.999403 0.0708825i
\(659\) 11.1744 6.45156i 0.435294 0.251317i −0.266305 0.963889i \(-0.585803\pi\)
0.701599 + 0.712572i \(0.252470\pi\)
\(660\) 1.20039 8.45702i 0.0467250 0.329189i
\(661\) 0.290772 + 0.503632i 0.0113097 + 0.0195890i 0.871625 0.490174i \(-0.163067\pi\)
−0.860315 + 0.509763i \(0.829733\pi\)
\(662\) 8.16315 + 4.71299i 0.317270 + 0.183176i
\(663\) 20.9322 28.3091i 0.812940 1.09943i
\(664\) 11.3089i 0.438871i
\(665\) 20.6544 42.4547i 0.800943 1.64632i
\(666\) 21.1253 + 21.9963i 0.818588 + 0.852339i
\(667\) 0.295314 0.511499i 0.0114346 0.0198053i
\(668\) −11.1837 6.45688i −0.432708 0.249824i
\(669\) 13.1211 + 1.86240i 0.507291 + 0.0720047i
\(670\) −16.5338 + 28.6374i −0.638757 + 1.10636i
\(671\) 10.8331i 0.418207i
\(672\) 0.321393 4.57129i 0.0123980 0.176341i
\(673\) 14.9942 25.9708i 0.577986 1.00110i −0.417725 0.908574i \(-0.637172\pi\)
0.995710 0.0925267i \(-0.0294943\pi\)
\(674\) 6.96024 0.268098
\(675\) 25.5474 18.4011i 0.983319 0.708260i
\(676\) −5.86193 + 11.6034i −0.225459 + 0.446283i
\(677\) 7.57768 + 13.1249i 0.291234 + 0.504432i 0.974102 0.226110i \(-0.0726009\pi\)
−0.682868 + 0.730542i \(0.739268\pi\)
\(678\) 10.9957 + 8.61511i 0.422288 + 0.330861i
\(679\) −2.72275 38.3892i −0.104490 1.47324i
\(680\) 16.2366 9.37418i 0.622644 0.359484i
\(681\) 6.97526 2.80707i 0.267292 0.107567i
\(682\) 2.04591 0.0783421
\(683\) −4.29790 −0.164455 −0.0822273 0.996614i \(-0.526203\pi\)
−0.0822273 + 0.996614i \(0.526203\pi\)
\(684\) 3.85155 + 15.6302i 0.147268 + 0.597637i
\(685\) 32.7479 18.9070i 1.25123 0.722399i
\(686\) 3.90454 + 18.1040i 0.149076 + 0.691214i
\(687\) 7.74647 9.88704i 0.295546 0.377214i
\(688\) −4.56492 7.90667i −0.174036 0.301439i
\(689\) 1.23856 + 44.3772i 0.0471856 + 1.69064i
\(690\) 14.2440 18.1801i 0.542260 0.692103i
\(691\) 14.2846 0.543411 0.271705 0.962381i \(-0.412412\pi\)
0.271705 + 0.962381i \(0.412412\pi\)
\(692\) −4.29211 + 7.43415i −0.163161 + 0.282604i
\(693\) −8.73343 7.89133i −0.331756 0.299767i
\(694\) 24.6761i 0.936692i
\(695\) −15.8305 + 27.4192i −0.600483 + 1.04007i
\(696\) 0.0358542 0.252602i 0.00135905 0.00957486i
\(697\) −4.10847 2.37203i −0.155619 0.0898469i
\(698\) 10.9530 18.9712i 0.414578 0.718070i
\(699\) 8.63678 + 6.76689i 0.326673 + 0.255947i
\(700\) −13.2815 + 8.97767i −0.501993 + 0.339324i
\(701\) 11.4867i 0.433848i −0.976189 0.216924i \(-0.930398\pi\)
0.976189 0.216924i \(-0.0696023\pi\)
\(702\) −2.40098 18.5805i −0.0906192 0.701276i
\(703\) 47.2414 + 27.2748i 1.78174 + 1.02869i
\(704\) −0.741475 1.28427i −0.0279454 0.0484028i
\(705\) 55.3968 + 7.86300i 2.08637 + 0.296138i
\(706\) −27.9812 + 16.1550i −1.05309 + 0.608001i
\(707\) 1.48111 + 20.8828i 0.0557028 + 0.785377i
\(708\) 0.243401 0.0979524i 0.00914758 0.00368128i
\(709\) 20.8264 + 12.0241i 0.782153 + 0.451576i 0.837193 0.546908i \(-0.184195\pi\)
−0.0550397 + 0.998484i \(0.517529\pi\)
\(710\) 12.9861 + 7.49751i 0.487358 + 0.281376i
\(711\) −10.1104 2.92913i −0.379168 0.109851i
\(712\) 1.72669i 0.0647106i
\(713\) 4.79070 + 2.76591i 0.179413 + 0.103584i
\(714\) 1.81192 25.7716i 0.0678094 0.964477i
\(715\) 0.496078 + 17.7742i 0.0185523 + 0.664718i
\(716\) 5.43096 3.13557i 0.202965 0.117182i
\(717\) −13.4530 33.4293i −0.502412 1.24844i
\(718\) 11.5648 + 20.0308i 0.431594 + 0.747543i
\(719\) −16.3337 + 28.2908i −0.609143 + 1.05507i 0.382239 + 0.924064i \(0.375153\pi\)
−0.991382 + 0.131004i \(0.958180\pi\)
\(720\) 2.77622 9.58255i 0.103464 0.357121i
\(721\) −28.9756 + 2.05509i −1.07911 + 0.0765355i
\(722\) 4.89661 + 8.48117i 0.182233 + 0.315637i
\(723\) −9.55897 23.7530i −0.355502 0.883384i
\(724\) 1.79286i 0.0666312i
\(725\) −0.772952 + 0.446264i −0.0287067 + 0.0165738i
\(726\) 15.0923 + 2.14219i 0.560126 + 0.0795041i
\(727\) 14.9530i 0.554576i 0.960787 + 0.277288i \(0.0894355\pi\)
−0.960787 + 0.277288i \(0.910564\pi\)
\(728\) 0.940096 + 9.49296i 0.0348423 + 0.351832i
\(729\) 17.9008 + 20.2129i 0.662993 + 0.748625i
\(730\) 13.2467i 0.490283i
\(731\) −25.7356 44.5754i −0.951866 1.64868i
\(732\) 1.77811 12.5273i 0.0657209 0.463021i
\(733\) 1.87934 + 3.25511i 0.0694150 + 0.120230i 0.898644 0.438679i \(-0.144553\pi\)
−0.829229 + 0.558909i \(0.811220\pi\)
\(734\) 5.48395 3.16616i 0.202416 0.116865i
\(735\) 0.0247942 + 40.3200i 0.000914549 + 1.48722i
\(736\) 4.00965i 0.147798i
\(737\) 12.7702 + 7.37289i 0.470397 + 0.271584i
\(738\) −2.45114 + 0.604002i −0.0902278 + 0.0222336i
\(739\) 16.4077 9.47299i 0.603567 0.348470i −0.166876 0.985978i \(-0.553368\pi\)
0.770444 + 0.637508i \(0.220035\pi\)
\(740\) −16.9036 29.2778i −0.621388 1.07627i
\(741\) −13.3730 30.7262i −0.491268 1.12875i
\(742\) 18.2434 + 26.9891i 0.669737 + 0.990802i
\(743\) 16.0910 27.8705i 0.590323 1.02247i −0.403866 0.914818i \(-0.632334\pi\)
0.994189 0.107651i \(-0.0343329\pi\)
\(744\) 2.36587 + 0.335810i 0.0867369 + 0.0123114i
\(745\) 5.86872i 0.215013i
\(746\) −10.0844 + 17.4667i −0.369216 + 0.639501i
\(747\) −23.5004 24.4694i −0.859836 0.895288i
\(748\) −4.18021 7.24034i −0.152844 0.264733i
\(749\) 21.3050 43.7920i 0.778467 1.60012i
\(750\) −5.65979 + 2.27768i −0.206666 + 0.0831691i
\(751\) −32.5579 −1.18805 −0.594027 0.804445i \(-0.702463\pi\)
−0.594027 + 0.804445i \(0.702463\pi\)
\(752\) 8.41249 4.85696i 0.306772 0.177115i
\(753\) −4.97919 + 6.35509i −0.181452 + 0.231592i
\(754\) 0.0148173 + 0.530897i 0.000539615 + 0.0193341i
\(755\) −33.6897 −1.22610
\(756\) −8.80396 10.5589i −0.320197 0.384023i
\(757\) −11.8978 + 20.6076i −0.432433 + 0.748997i −0.997082 0.0763346i \(-0.975678\pi\)
0.564649 + 0.825331i \(0.309012\pi\)
\(758\) −3.77772 2.18107i −0.137213 0.0792200i
\(759\) −8.10700 6.35181i −0.294265 0.230556i
\(760\) 17.8446i 0.647291i
\(761\) 34.4435 + 19.8859i 1.24857 + 0.720865i 0.970825 0.239789i \(-0.0770781\pi\)
0.277750 + 0.960654i \(0.410411\pi\)
\(762\) −26.9367 3.82338i −0.975812 0.138506i
\(763\) 30.2223 + 44.7106i 1.09412 + 1.61863i
\(764\) 13.2662 + 7.65925i 0.479954 + 0.277102i
\(765\) 15.6515 54.0235i 0.565881 1.95323i
\(766\) 2.41965 + 1.39698i 0.0874254 + 0.0504751i
\(767\) −0.465194 + 0.286175i −0.0167972 + 0.0103332i
\(768\) −0.646635 1.60682i −0.0233334 0.0579810i
\(769\) 1.55242 2.68887i 0.0559817 0.0969632i −0.836676 0.547697i \(-0.815504\pi\)
0.892658 + 0.450734i \(0.148838\pi\)
\(770\) 7.30697 + 10.8099i 0.263325 + 0.389560i
\(771\) 2.83068 + 7.03394i 0.101944 + 0.253321i
\(772\) 15.1366 8.73915i 0.544780 0.314529i
\(773\) 24.4013i 0.877652i −0.898572 0.438826i \(-0.855394\pi\)
0.898572 0.438826i \(-0.144606\pi\)
\(774\)