Properties

Label 546.2.bi.f.17.12
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 17.12
Character \(\chi\) \(=\) 546.17
Dual form 546.2.bi.f.257.12

$q$-expansion

\(f(q)\) \(=\) \(q+1.00000 q^{2} +(1.06823 + 1.36341i) q^{3} +1.00000 q^{4} +(2.88000 - 1.66277i) q^{5} +(1.06823 + 1.36341i) q^{6} +(-2.37914 - 1.15746i) q^{7} +1.00000 q^{8} +(-0.717779 + 2.91287i) q^{9} +O(q^{10})\) \(q+1.00000 q^{2} +(1.06823 + 1.36341i) q^{3} +1.00000 q^{4} +(2.88000 - 1.66277i) q^{5} +(1.06823 + 1.36341i) q^{6} +(-2.37914 - 1.15746i) q^{7} +1.00000 q^{8} +(-0.717779 + 2.91287i) q^{9} +(2.88000 - 1.66277i) q^{10} +(0.741475 + 1.28427i) q^{11} +(1.06823 + 1.36341i) q^{12} +(1.88919 + 3.07099i) q^{13} +(-2.37914 - 1.15746i) q^{14} +(5.34353 + 2.15041i) q^{15} +1.00000 q^{16} -5.63770 q^{17} +(-0.717779 + 2.91287i) q^{18} +(2.68297 - 4.64703i) q^{19} +(2.88000 - 1.66277i) q^{20} +(-0.963367 - 4.48017i) q^{21} +(0.741475 + 1.28427i) q^{22} -4.00965i q^{23} +(1.06823 + 1.36341i) 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} +(5.34353 + 2.15041i) q^{30} +(0.689813 - 1.19479i) q^{31} +1.00000 q^{32} +(-0.958927 + 2.38283i) q^{33} -5.63770 q^{34} +(-8.77649 + 0.622472i) q^{35} +(-0.717779 + 2.91287i) q^{36} +10.1659i q^{37} +(2.68297 - 4.64703i) q^{38} +(-2.16893 + 5.85626i) q^{39} +(2.88000 - 1.66277i) q^{40} +(0.728750 + 0.420744i) q^{41} +(-0.963367 - 4.48017i) 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} +(1.06823 + 1.36341i) q^{48} +(4.32058 + 5.50750i) q^{49} +(3.02959 - 5.24741i) q^{50} +(-6.02235 - 7.68650i) 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} +(5.34353 + 2.15041i) q^{60} +(6.32641 + 3.65255i) q^{61} +(0.689813 - 1.19479i) q^{62} +(5.07922 - 6.09931i) q^{63} +1.00000 q^{64} +(10.5472 + 5.70316i) q^{65} +(-0.958927 + 2.38283i) q^{66} +(-8.61136 + 4.97177i) q^{67} -5.63770 q^{68} +(5.46681 - 4.28322i) q^{69} +(-8.77649 + 0.622472i) q^{70} +(-2.25453 - 3.90495i) q^{71} +(-0.717779 + 2.91287i) 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} +(-2.16893 + 5.85626i) q^{78} +(1.75435 + 3.03863i) q^{79} +(2.88000 - 1.66277i) q^{80} +(-7.96959 - 4.18159i) q^{81} +(0.728750 + 0.420744i) q^{82} -11.3089i q^{83} +(-0.963367 - 4.48017i) 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} +(1.06823 + 1.36341i) q^{96} +(7.27311 + 12.5974i) q^{97} +(4.32058 + 5.50750i) q^{98} +(-4.27313 + 1.23799i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q + 34q^{2} + 6q^{3} + 34q^{4} + 9q^{5} + 6q^{6} + 4q^{7} + 34q^{8} + 4q^{9} + O(q^{10}) \) \( 34q + 34q^{2} + 6q^{3} + 34q^{4} + 9q^{5} + 6q^{6} + 4q^{7} + 34q^{8} + 4q^{9} + 9q^{10} + 9q^{11} + 6q^{12} + 8q^{13} + 4q^{14} - 17q^{15} + 34q^{16} + 12q^{17} + 4q^{18} - 5q^{19} + 9q^{20} - 7q^{21} + 9q^{22} + 6q^{24} + 16q^{25} + 8q^{26} - 18q^{27} + 4q^{28} + 27q^{29} - 17q^{30} - q^{31} + 34q^{32} + 12q^{34} - 3q^{35} + 4q^{36} - 5q^{38} - 10q^{39} + 9q^{40} - 3q^{41} - 7q^{42} - 3q^{43} + 9q^{44} + 9q^{45} - 27q^{47} + 6q^{48} - 2q^{49} + 16q^{50} - 36q^{51} + 8q^{52} - 21q^{53} - 18q^{54} - 57q^{55} + 4q^{56} - 17q^{57} + 27q^{58} - 17q^{60} - 51q^{61} - q^{62} - 24q^{63} + 34q^{64} - 21q^{65} - 21q^{67} + 12q^{68} + 30q^{69} - 3q^{70} - 15q^{71} + 4q^{72} - 19q^{73} - 54q^{75} - 5q^{76} + 9q^{77} - 10q^{78} - 9q^{79} + 9q^{80} + 28q^{81} - 3q^{82} - 7q^{84} - 42q^{85} - 3q^{86} - 81q^{87} + 9q^{88} + 9q^{90} - 72q^{91} - 17q^{93} - 27q^{94} + 6q^{96} + 19q^{97} - 2q^{98} - 27q^{99} + O(q^{100}) \)

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
\(3\) 1.06823 + 1.36341i 0.616742 + 0.787166i
\(4\) 1.00000 0.500000
\(5\) 2.88000 1.66277i 1.28797 0.743612i 0.309682 0.950840i \(-0.399778\pi\)
0.978293 + 0.207228i \(0.0664442\pi\)
\(6\) 1.06823 + 1.36341i 0.436102 + 0.556610i
\(7\) −2.37914 1.15746i −0.899229 0.437478i
\(8\) 1.00000 0.353553
\(9\) −0.717779 + 2.91287i −0.239260 + 0.970956i
\(10\) 2.88000 1.66277i 0.910735 0.525813i
\(11\) 0.741475 + 1.28427i 0.223563 + 0.387223i 0.955887 0.293733i \(-0.0948978\pi\)
−0.732324 + 0.680956i \(0.761564\pi\)
\(12\) 1.06823 + 1.36341i 0.308371 + 0.393583i
\(13\) 1.88919 + 3.07099i 0.523967 + 0.851739i
\(14\) −2.37914 1.15746i −0.635851 0.309344i
\(15\) 5.34353 + 2.15041i 1.37969 + 0.555233i
\(16\) 1.00000 0.250000
\(17\) −5.63770 −1.36734 −0.683671 0.729790i \(-0.739618\pi\)
−0.683671 + 0.729790i \(0.739618\pi\)
\(18\) −0.717779 + 2.91287i −0.169182 + 0.686569i
\(19\) 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
\(21\) −0.963367 4.48017i −0.210224 0.977653i
\(22\) 0.741475 + 1.28427i 0.158083 + 0.273808i
\(23\) 4.00965i 0.836071i −0.908431 0.418035i \(-0.862719\pi\)
0.908431 0.418035i \(-0.137281\pi\)
\(24\) 1.06823 + 1.36341i 0.218051 + 0.278305i
\(25\) 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 0.511798 0.859106i \(-0.328980\pi\)
−0.488109 + 0.872783i \(0.662313\pi\)
\(30\) 5.34353 + 2.15041i 0.975591 + 0.392609i
\(31\) 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
\(33\) −0.958927 + 2.38283i −0.166928 + 0.414798i
\(34\) −5.63770 −0.966857
\(35\) −8.77649 + 0.622472i −1.48350 + 0.105217i
\(36\) −0.717779 + 2.91287i −0.119630 + 0.485478i
\(37\) 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
\(39\) −2.16893 + 5.85626i −0.347307 + 0.937751i
\(40\) 2.88000 1.66277i 0.455368 0.262907i
\(41\) 0.728750 + 0.420744i 0.113812 + 0.0657091i 0.555825 0.831299i \(-0.312402\pi\)
−0.442014 + 0.897008i \(0.645736\pi\)
\(42\) −0.963367 4.48017i −0.148651 0.691305i
\(43\) −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 −0.966420 0.256969i \(-0.917276\pi\)
−0.260668 + 0.965428i \(0.583943\pi\)
\(48\) 1.06823 + 1.36341i 0.154185 + 0.196791i
\(49\) 4.32058 + 5.50750i 0.617226 + 0.786786i
\(50\) 3.02959 5.24741i 0.428449 0.742096i
\(51\) −6.02235 7.68650i −0.843297 1.07633i
\(52\) 1.88919 + 3.07099i 0.261983 + 0.425869i
\(53\) −10.6632 6.15640i −1.46470 0.845647i −0.465480 0.885058i \(-0.654118\pi\)
−0.999223 + 0.0394116i \(0.987452\pi\)
\(54\) −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 \(-0.996861\pi\)
0.999951 0.00986052i \(-0.00313875\pi\)
\(60\) 5.34353 + 2.15041i 0.689847 + 0.277616i
\(61\) 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
\(63\) 5.07922 6.09931i 0.639921 0.768441i
\(64\) 1.00000 0.125000
\(65\) 10.5472 + 5.70316i 1.30822 + 0.707390i
\(66\) −0.958927 + 2.38283i −0.118036 + 0.293306i
\(67\) −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
\(69\) 5.46681 4.28322i 0.658126 0.515640i
\(70\) −8.77649 + 0.622472i −1.04899 + 0.0743996i
\(71\) −2.25453 3.90495i −0.267563 0.463433i 0.700669 0.713487i \(-0.252885\pi\)
−0.968232 + 0.250054i \(0.919552\pi\)
\(72\) −0.717779 + 2.91287i −0.0845911 + 0.343285i
\(73\) 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
\(78\) −2.16893 + 5.85626i −0.245583 + 0.663090i
\(79\) 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
\(81\) −7.96959 4.18159i −0.885510 0.464621i
\(82\) 0.728750 + 0.420744i 0.0804769 + 0.0464634i
\(83\) 11.3089i 1.24131i −0.784082 0.620657i \(-0.786866\pi\)
0.784082 0.620657i \(-0.213134\pi\)
\(84\) −0.963367 4.48017i −0.105112 0.488827i
\(85\) −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 \(-0.970829\pi\)
0.995804 0.0915146i \(-0.0291708\pi\)
\(90\) 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
\(96\) 1.06823 + 1.36341i 0.109026 + 0.139153i
\(97\) 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 0.992931 0.118692i \(-0.0378701\pi\)
−0.599256 + 0.800558i \(0.704537\pi\)
\(102\) −6.02235 7.68650i −0.596301 0.761077i
\(103\) 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
\(105\) −10.2240 11.3010i −0.997758 1.10287i
\(106\) −10.6632 6.15640i −1.03570 0.597963i
\(107\) 18.4067i 1.77944i −0.456506 0.889721i \(-0.650899\pi\)
0.456506 0.889721i \(-0.349101\pi\)
\(108\) −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
\(111\) −13.8603 + 10.8595i −1.31556 + 1.03074i
\(112\) −2.37914 1.15746i −0.224807 0.109370i
\(113\) −6.98437 + 4.03243i −0.657035 + 0.379339i −0.791146 0.611627i \(-0.790515\pi\)
0.134111 + 0.990966i \(0.457182\pi\)
\(114\) 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
\(117\) −10.3014 + 3.29866i −0.952365 + 0.304962i
\(118\) 0.151480i 0.0139449i
\(119\) 13.4129 + 6.52540i 1.22955 + 0.598183i
\(120\) 5.34353 + 2.15041i 0.487795 + 0.196304i
\(121\) 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
\(126\) 5.07922 6.09931i 0.452493 0.543369i
\(127\) −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
\(129\) 5.90367 14.6700i 0.519789 1.29162i
\(130\) 10.5472 + 5.70316i 0.925051 + 0.500200i
\(131\) 4.29105 + 7.43232i 0.374911 + 0.649365i 0.990314 0.138848i \(-0.0443399\pi\)
−0.615403 + 0.788213i \(0.711007\pi\)
\(132\) −0.958927 + 2.38283i −0.0834639 + 0.207399i
\(133\) −11.7619 + 7.95050i −1.01989 + 0.689396i
\(134\) −8.61136 + 4.97177i −0.743909 + 0.429496i
\(135\) −10.0993 + 14.0215i −0.869211 + 1.20678i
\(136\) −5.63770 −0.483429
\(137\) 11.3708 0.971473 0.485736 0.874105i \(-0.338551\pi\)
0.485736 + 0.874105i \(0.338551\pi\)
\(138\) 5.46681 4.28322i 0.465365 0.364612i
\(139\) 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
\(141\) −15.6085 6.28135i −1.31447 0.528985i
\(142\) −2.25453 3.90495i −0.189196 0.327696i
\(143\) −2.54320 + 4.70329i −0.212673 + 0.393309i
\(144\) −0.717779 + 2.91287i −0.0598149 + 0.242739i
\(145\) 0.489857 0.0406804
\(146\) 1.99167 3.44967i 0.164831 0.285496i
\(147\) −2.89363 + 11.7740i −0.238663 + 0.971103i
\(148\) 10.1659i 0.835634i
\(149\) −0.882372 + 1.52831i −0.0722867 + 0.125204i −0.899903 0.436090i \(-0.856363\pi\)
0.827616 + 0.561294i \(0.189696\pi\)
\(150\) 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
\(153\) 4.04662 16.4219i 0.327150 1.32763i
\(154\) −0.277578 3.91369i −0.0223679 0.315374i
\(155\) 4.58799i 0.368516i
\(156\) −2.16893 + 5.85626i −0.173654 + 0.468876i
\(157\) 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
\(162\) −7.96959 4.18159i −0.626150 0.328537i
\(163\) 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 0.865823 0.500351i \(-0.166796\pi\)
−0.000405558 1.00000i \(0.500129\pi\)
\(168\) −0.963367 4.48017i −0.0743254 0.345653i
\(169\) −5.86193 + 11.6034i −0.450918 + 0.892565i
\(170\) −16.2366 + 9.37418i −1.24529 + 0.718967i
\(171\) 11.6104 + 11.1507i 0.887870 + 0.852713i
\(172\) −4.56492 7.90667i −0.348072 0.602878i
\(173\) 4.29211 7.43415i 0.326323 0.565208i −0.655456 0.755233i \(-0.727524\pi\)
0.981779 + 0.190025i \(0.0608570\pi\)
\(174\) 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
\(177\) 0.206530 0.161815i 0.0155237 0.0121628i
\(178\) 1.72669i 0.129421i
\(179\) −5.43096 + 3.13557i −0.405929 + 0.234363i −0.689039 0.724724i \(-0.741967\pi\)
0.283110 + 0.959087i \(0.408634\pi\)
\(180\) 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
\(189\) 13.7416 + 0.409611i 0.999556 + 0.0297948i
\(190\) 17.8446i 1.29458i
\(191\) −13.2662 7.65925i −0.959909 0.554204i −0.0637638 0.997965i \(-0.520310\pi\)
−0.896145 + 0.443761i \(0.853644\pi\)
\(192\) 1.06823 + 1.36341i 0.0770927 + 0.0983957i
\(193\) 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
\(195\) 3.49106 + 20.4724i 0.250000 + 1.46606i
\(196\) 4.32058 + 5.50750i 0.308613 + 0.393393i
\(197\) 0.179054 0.310131i 0.0127571 0.0220959i −0.859576 0.511007i \(-0.829273\pi\)
0.872333 + 0.488911i \(0.162606\pi\)
\(198\) −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
\(201\) −15.9775 6.42984i −1.12696 0.453526i
\(202\) 3.95639 + 6.85266i 0.278370 + 0.482152i
\(203\) −0.218251 0.322879i −0.0153182 0.0226617i
\(204\) −6.02235 7.68650i −0.421649 0.538163i
\(205\) 2.79840 0.195449
\(206\) 9.50831 5.48962i 0.662475 0.382480i
\(207\) 11.6796 + 2.87805i 0.811788 + 0.200038i
\(208\) 1.88919 + 3.07099i 0.130992 + 0.212935i
\(209\) 7.95741 0.550425
\(210\) −10.2240 11.3010i −0.705522 0.779845i
\(211\) −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
\(213\) 2.91571 7.24523i 0.199781 0.496435i
\(214\) 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
\(222\) −13.8603 + 10.8595i −0.930245 + 0.728843i
\(223\) −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
\(225\) 13.1104 + 12.5913i 0.874028 + 0.839419i
\(226\) −6.98437 + 4.03243i −0.464594 + 0.268233i
\(227\) 4.34104i 0.288125i −0.989569 0.144062i \(-0.953983\pi\)
0.989569 0.144062i \(-0.0460166\pi\)
\(228\) 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
\(231\) 5.03945 4.55916i 0.331571 0.299971i
\(232\) 0.127567 + 0.0736508i 0.00837518 + 0.00483541i
\(233\) 5.48600 3.16734i 0.359400 0.207499i −0.309418 0.950926i \(-0.600134\pi\)
0.668817 + 0.743427i \(0.266801\pi\)
\(234\) −10.3014 + 3.29866i −0.673423 + 0.215640i
\(235\) −16.1520 + 27.9760i −1.05364 + 1.82496i
\(236\) 0.151480i 0.00986052i
\(237\) −2.26885 + 5.63785i −0.147378 + 0.366218i
\(238\) 13.4129 + 6.52540i 0.869426 + 0.422979i
\(239\) −20.8047 −1.34574 −0.672870 0.739760i \(-0.734939\pi\)
−0.672870 + 0.739760i \(0.734939\pi\)
\(240\) 5.34353 + 2.15041i 0.344923 + 0.138808i
\(241\) 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
\(243\) −2.81211 15.3327i −0.180397 0.983594i
\(244\) 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
\(249\) 15.4187 12.0805i 0.977119 0.765569i
\(250\) 3.52236i 0.222774i
\(251\) 2.33059 + 4.03669i 0.147105 + 0.254794i 0.930156 0.367164i \(-0.119671\pi\)
−0.783051 + 0.621957i \(0.786338\pi\)
\(252\) 5.07922 6.09931i 0.319961 0.384220i
\(253\) 5.14949 2.97306i 0.323746 0.186915i
\(254\) −7.85389 + 13.6033i −0.492797 + 0.853549i
\(255\) −30.1252 12.1233i −1.88651 0.759193i
\(256\) 1.00000 0.0625000
\(257\) 4.37756 0.273064 0.136532 0.990636i \(-0.456404\pi\)
0.136532 + 0.990636i \(0.456404\pi\)
\(258\) 5.90367 14.6700i 0.367546 0.913313i
\(259\) 11.7666 24.1861i 0.731143 1.50285i
\(260\) 10.5472 + 5.70316i 0.654110 + 0.353695i
\(261\) −0.306100 + 0.318721i −0.0189471 + 0.0197283i
\(262\) 4.29105 + 7.43232i 0.265102 + 0.459171i
\(263\) 3.96518 2.28930i 0.244503 0.141164i −0.372741 0.927935i \(-0.621582\pi\)
0.617245 + 0.786771i \(0.288249\pi\)
\(264\) −0.958927 + 2.38283i −0.0590179 + 0.146653i
\(265\) −40.9467 −2.51533
\(266\) −11.7619 + 7.95050i −0.721168 + 0.487477i
\(267\) 2.35419 1.84450i 0.144074 0.112882i
\(268\) −8.61136 + 4.97177i −0.526023 + 0.303699i
\(269\) 12.3680 0.754092 0.377046 0.926195i \(-0.376940\pi\)
0.377046 + 0.926195i \(0.376940\pi\)
\(270\) −10.0993 + 14.0215i −0.614625 + 0.853320i
\(271\) 31.5193 1.91466 0.957331 0.288995i \(-0.0933210\pi\)
0.957331 + 0.288995i \(0.0933210\pi\)
\(272\) −5.63770 −0.341836
\(273\) 11.9386 11.4224i 0.722555 0.691314i
\(274\) 11.3708 0.686935
\(275\) 8.98547 0.541844
\(276\) 5.46681 4.28322i 0.329063 0.257820i
\(277\) 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
\(279\) 2.98513 + 2.86693i 0.178715 + 0.171638i
\(280\) −8.77649 + 0.622472i −0.524496 + 0.0371998i
\(281\) 18.1663 1.08371 0.541856 0.840471i \(-0.317722\pi\)
0.541856 + 0.840471i \(0.317722\pi\)
\(282\) −15.6085 6.28135i −0.929472 0.374049i
\(283\) −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
\(285\) 24.3295 19.0621i 1.44116 1.12914i
\(286\) −2.54320 + 4.70329i −0.150382 + 0.278112i
\(287\) −1.24680 1.84450i −0.0735963 0.108878i
\(288\) −0.717779 + 2.91287i −0.0422955 + 0.171642i
\(289\) 14.7837 0.869627
\(290\) 0.489857 0.0287654
\(291\) −9.40608 + 23.3731i −0.551394 + 1.37016i
\(292\) 1.99167 3.44967i 0.116553 0.201876i
\(293\) −24.4527 + 14.1178i −1.42854 + 0.824769i −0.997006 0.0773264i \(-0.975362\pi\)
−0.431536 + 0.902096i \(0.642028\pi\)
\(294\) −2.89363 + 11.7740i −0.168760 + 0.686673i
\(295\) −0.251876 0.436263i −0.0146648 0.0254002i
\(296\) 10.1659i 0.590882i
\(297\) −6.25257 4.50357i −0.362811 0.261324i
\(298\) −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
\(303\) −5.11667 + 12.7144i −0.293945 + 0.730422i
\(304\) 2.68297 4.64703i 0.153879 0.266526i
\(305\) 24.2934 1.39104
\(306\) 4.04662 16.4219i 0.231330 0.938776i
\(307\) 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
\(309\) 17.6417 + 7.09956i 1.00360 + 0.403880i
\(310\) 4.58799i 0.260580i
\(311\) −3.80897 + 6.59733i −0.215987 + 0.374100i −0.953577 0.301148i \(-0.902630\pi\)
0.737591 + 0.675248i \(0.235963\pi\)
\(312\) −2.16893 + 5.85626i −0.122792 + 0.331545i
\(313\) 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
\(315\) 4.48640 26.0116i 0.252780 1.46558i
\(316\) 1.75435 + 3.03863i 0.0986900 + 0.170936i
\(317\) 1.03201 + 1.78749i 0.0579634 + 0.100395i 0.893551 0.448962i \(-0.148206\pi\)
−0.835588 + 0.549357i \(0.814873\pi\)
\(318\) −2.99702 21.1148i −0.168065 1.18406i
\(319\) 0.218441i 0.0122303i
\(320\) 2.88000 1.66277i 0.160997 0.0929515i
\(321\) 25.0959 19.6625i 1.40071 1.09746i
\(322\) −4.64101 + 9.53951i −0.258633 + 0.531616i
\(323\) −15.1258 + 26.1986i −0.841619 + 1.45773i
\(324\) −7.96959 4.18159i −0.442755 0.232311i
\(325\) 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
\(333\) −29.6120 7.29689i −1.62273 0.399867i
\(334\) 11.1837 + 6.45688i 0.611942 + 0.353305i
\(335\) −16.5338 + 28.6374i −0.903338 + 1.56463i
\(336\) −0.963367 4.48017i −0.0525560 0.244413i
\(337\) −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
\(339\) −12.9588 5.21502i −0.703823 0.283241i
\(340\) −16.2366 + 9.37418i −0.880551 + 0.508387i
\(341\) 2.04591 0.110793
\(342\) 11.6104 + 11.1507i 0.627819 + 0.602959i
\(343\) −3.90454 18.1040i −0.210825 0.977524i
\(344\) −4.56492 7.90667i −0.246124 0.426299i
\(345\) 8.62239 21.4257i 0.464214 1.15352i
\(346\) 4.29211 7.43415i 0.230745 0.399662i
\(347\) 24.6761i 1.32468i 0.749202 + 0.662341i \(0.230437\pi\)
−0.749202 + 0.662341i \(0.769563\pi\)
\(348\) 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
\(351\) −15.5017 10.5213i −0.827418 0.561586i
\(352\) 0.741475 + 1.28427i 0.0395207 + 0.0684519i
\(353\) −27.9812 + 16.1550i −1.48929 + 0.859843i −0.999925 0.0122353i \(-0.996105\pi\)
−0.489366 + 0.872078i \(0.662772\pi\)
\(354\) 0.206530 0.161815i 0.0109769 0.00860039i
\(355\) −12.9861 7.49751i −0.689229 0.397926i
\(356\) 1.72669i 0.0915146i
\(357\) 5.43118 + 25.2579i 0.287448 + 1.33679i
\(358\) −5.43096 + 3.13557i −0.287035 + 0.165720i
\(359\) 11.5648 + 20.0308i 0.610367 + 1.05719i 0.991179 + 0.132533i \(0.0423112\pi\)
−0.380812 + 0.924652i \(0.624356\pi\)
\(360\) 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
\(369\) −1.74865 + 1.82075i −0.0910312 + 0.0947844i
\(370\) 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
\(375\) 4.80242 3.76268i 0.247996 0.194304i
\(376\) −8.41249 + 4.85696i −0.433841 + 0.250478i
\(377\) 0.0148173 + 0.530897i 0.000763130 + 0.0273426i
\(378\) 13.7416 + 0.409611i 0.706793 + 0.0210681i
\(379\) 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 0.560544 0.828125i \(-0.310592\pi\)
−0.436905 + 0.899507i \(0.643926\pi\)
\(384\) 1.06823 + 1.36341i 0.0545128 + 0.0695763i
\(385\) −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 0.992961 0.118439i \(-0.0377890\pi\)
0.393909 + 0.919149i \(0.371122\pi\)
\(390\) 3.49106 + 20.4724i 0.176777 + 1.03666i
\(391\) 22.6052i 1.14320i
\(392\) 4.32058 + 5.50750i 0.218222 + 0.278171i
\(393\) −5.54949 + 13.7899i −0.279935 + 0.695608i
\(394\) 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
\(399\) −23.4042 7.54334i −1.17167 0.377639i
\(400\) 3.02959 5.24741i 0.151480 0.262370i
\(401\) −34.2538 −1.71055 −0.855277 0.518171i \(-0.826613\pi\)
−0.855277 + 0.518171i \(0.826613\pi\)
\(402\) −15.9775 6.42984i −0.796884 0.320691i
\(403\) 4.97237 0.138779i 0.247692 0.00691306i
\(404\) 3.95639 + 6.85266i 0.196838 + 0.340933i
\(405\) −29.9054 + 1.20860i −1.48601 + 0.0600559i
\(406\) −0.218251 0.322879i −0.0108316 0.0160242i
\(407\) −13.0558 + 7.53778i −0.647153 + 0.373634i
\(408\) −6.02235 7.68650i −0.298151 0.380539i
\(409\) 21.0506 1.04088 0.520441 0.853897i \(-0.325767\pi\)
0.520441 + 0.853897i \(0.325767\pi\)
\(410\) 2.79840 0.138203
\(411\) 12.1466 + 15.5031i 0.599148 + 0.764710i
\(412\) 9.50831 5.48962i 0.468441 0.270454i
\(413\) −0.175332 + 0.360392i −0.00862753 + 0.0177337i
\(414\) 11.6796 + 2.87805i 0.574020 + 0.141448i
\(415\) −18.8041 32.5696i −0.923056 1.59878i
\(416\) 1.88919 + 3.07099i 0.0926251 + 0.150568i
\(417\) 15.2978 + 6.15632i 0.749136 + 0.301476i
\(418\) 7.95741 0.389209
\(419\) −1.06539 + 1.84530i −0.0520475 + 0.0901490i −0.890875 0.454248i \(-0.849908\pi\)
0.838828 + 0.544397i \(0.183241\pi\)
\(420\) −10.2240 11.3010i −0.498879 0.551434i
\(421\) 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
\(426\) 2.91571 7.24523i 0.141267 0.351032i
\(427\) −10.8237 16.0125i −0.523796 0.774898i
\(428\) 18.4067i 0.889721i
\(429\) −9.12924 + 1.55676i −0.440764 + 0.0751613i
\(430\) −26.2939 15.1808i −1.26800 0.732083i
\(431\) −4.97236 8.61238i −0.239510 0.414844i 0.721064 0.692869i \(-0.243654\pi\)
−0.960574 + 0.278025i \(0.910320\pi\)
\(432\) −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
\(435\) 0.523279 + 0.667876i 0.0250893 + 0.0320222i
\(436\) −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
\(441\) −19.1438 + 8.63210i −0.911612 + 0.411052i
\(442\) −10.6507 17.3133i −0.506601 0.823510i
\(443\) 20.0070 11.5511i 0.950562 0.548807i 0.0573064 0.998357i \(-0.481749\pi\)
0.893255 + 0.449550i \(0.148415\pi\)
\(444\) −13.8603 + 10.8595i −0.657782 + 0.515370i
\(445\) −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 \(-0.992867\pi\)
0.480469 0.877012i \(-0.340467\pi\)
\(450\) 13.1104 + 12.5913i 0.618031 + 0.593559i
\(451\) 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 0.347888 0.937536i \(-0.386899\pi\)
0.985874 + 0.167489i \(0.0535658\pi\)
\(462\) 5.03945 4.55916i 0.234456 0.212111i
\(463\) 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
\(465\) 6.25532 4.90102i 0.290083 0.227279i
\(466\) 5.48600 3.16734i 0.254134 0.146724i
\(467\) −19.5630 33.8841i −0.905269 1.56797i −0.820556 0.571566i \(-0.806336\pi\)
−0.0847125 0.996405i \(-0.526997\pi\)
\(468\) −10.3014 + 3.29866i −0.476182 + 0.152481i
\(469\) 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
\(474\) −2.26885 + 5.63785i −0.104212 + 0.258955i
\(475\) −16.2566 28.1572i −0.745903 1.29194i
\(476\) 13.4129 + 6.52540i 0.614777 + 0.299091i
\(477\) 25.5866 26.6415i 1.17153 1.21983i
\(478\) −20.8047 −0.951583
\(479\) 2.70422 1.56128i 0.123559 0.0713369i −0.436947 0.899487i \(-0.643940\pi\)
0.560506 + 0.828151i \(0.310607\pi\)
\(480\) 5.34353 + 2.15041i 0.243898 + 0.0981522i
\(481\) −31.2194 + 19.2053i −1.42348 + 0.875689i
\(482\) 14.7826 0.673331
\(483\) −17.9639 + 3.86277i −0.817387 + 0.175762i
\(484\) 4.40043 7.62177i 0.200020 0.346444i
\(485\) 41.8931 + 24.1870i 1.90227 + 1.09827i
\(486\) −2.81211 15.3327i −0.127560 0.695506i
\(487\) 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 0.944896 0.327372i \(-0.106163\pi\)
0.188936 + 0.981989i \(0.439496\pi\)
\(492\) 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
\(495\) −10.2481 + 10.6706i −0.460618 + 0.479610i
\(496\) 0.689813 1.19479i 0.0309735 0.0536477i
\(497\) 0.844002 + 11.8999i 0.0378587 + 0.533785i
\(498\) 15.4187 12.0805i 0.690928 0.541339i
\(499\) −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 0.767879 0.640594i \(-0.221312\pi\)
−0.938711 + 0.344706i \(0.887979\pi\)
\(504\) 5.07922 6.09931i 0.226246 0.271685i
\(505\) 22.7888 + 13.1571i 1.01409 + 0.585483i
\(506\) 5.14949 2.97306i 0.228923 0.132169i
\(507\) −22.0820 + 4.40280i −0.980697 + 0.195535i
\(508\) −7.85389 + 13.6033i −0.348460 + 0.603550i
\(509\) 18.7613i 0.831580i −0.909461 0.415790i \(-0.863505\pi\)
0.909461 0.415790i \(-0.136495\pi\)
\(510\) −30.1252 12.1233i −1.33397 0.536831i
\(511\) −8.73129 + 5.90195i −0.386250 + 0.261087i
\(512\) 1.00000 0.0441942
\(513\) −2.80037 + 27.7412i −0.123640 + 1.22480i
\(514\) 4.37756 0.193086
\(515\) 18.2559 31.6202i 0.804453 1.39335i
\(516\) 5.90367 14.6700i 0.259894 0.645810i
\(517\) −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 −0.965887 0.258965i \(-0.916618\pi\)
0.707214 + 0.707000i \(0.249952\pi\)
\(522\) −0.306100 + 0.318721i −0.0133976 + 0.0139500i
\(523\) 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
\(525\) −26.4279 8.51791i −1.15341 0.371752i
\(526\) 3.96518 2.28930i 0.172890 0.0998181i
\(527\) −3.88896 + 6.73587i −0.169406 + 0.293419i
\(528\) −0.958927 + 2.38283i −0.0417319 + 0.103699i
\(529\) 6.92267 0.300986
\(530\) −40.9467 −1.77861
\(531\) 0.441242 + 0.108729i 0.0191483 + 0.00471845i
\(532\) −11.7619 + 7.95050i −0.509943 + 0.344698i
\(533\) 0.0846466 + 3.03285i 0.00366645 + 0.131367i
\(534\) 2.35419 1.84450i 0.101876 0.0798194i
\(535\) −30.6060 53.0112i −1.32321 2.29187i
\(536\) −8.61136 + 4.97177i −0.371954 + 0.214748i
\(537\) −10.0766 4.05513i −0.434836 0.174992i
\(538\) 12.3680 0.533223
\(539\) −3.86953 + 9.63248i −0.166673 + 0.414900i
\(540\) −10.0993 + 14.0215i −0.434606 + 0.603388i
\(541\) −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
\(543\) −2.44441 + 1.91519i −0.104900 + 0.0821885i
\(544\) −5.63770 −0.241714
\(545\) −67.8329 −2.90564
\(546\) 11.9386 11.4224i 0.510923 0.488833i
\(547\) −37.4605 −1.60169 −0.800847 0.598869i \(-0.795617\pi\)
−0.800847 + 0.598869i \(0.795617\pi\)
\(548\) 11.3708 0.485736
\(549\) −15.1804 + 15.8063i −0.647882 + 0.674595i
\(550\) 8.98547 0.383142
\(551\) 0.684516 0.395205i 0.0291613 0.0168363i
\(552\) 5.46681 4.28322i 0.232683 0.182306i
\(553\) −0.656757 9.25990i −0.0279282 0.393771i
\(554\) 3.41244 0.144981
\(555\) −21.8609 + 54.3219i −0.927942 + 2.30584i
\(556\) 8.24504 4.76027i 0.349667 0.201881i
\(557\) −20.3692 35.2805i −0.863071 1.49488i −0.868950 0.494901i \(-0.835204\pi\)
0.00587835 0.999983i \(-0.498129\pi\)
\(558\) 2.98513 + 2.86693i 0.126371 + 0.121367i
\(559\) 15.6573 28.9560i 0.662233 1.22471i
\(560\) −8.77649 + 0.622472i −0.370875 + 0.0263042i
\(561\) 5.40614 13.4337i 0.228247 0.567170i
\(562\) 18.1663 0.766300
\(563\) 26.8465 1.13145 0.565723 0.824595i \(-0.308597\pi\)
0.565723 + 0.824595i \(0.308597\pi\)
\(564\) −15.6085 6.28135i −0.657236 0.264493i
\(565\) −13.4100 + 23.2268i −0.564163 + 0.977158i
\(566\) −10.9177 + 6.30333i −0.458905 + 0.264949i
\(567\) 14.1207 + 19.1730i 0.593014 + 0.805192i
\(568\) −2.25453 3.90495i −0.0945978 0.163848i
\(569\) 22.6539i 0.949702i −0.880066 0.474851i \(-0.842502\pi\)
0.880066 0.474851i \(-0.157498\pi\)
\(570\) 24.3295 19.0621i 1.01905 0.798423i
\(571\) 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
\(576\) −0.717779 + 2.91287i −0.0299075 + 0.121369i
\(577\) −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
\(579\) 28.0844 + 11.3021i 1.16715 + 0.469698i
\(580\) 0.489857 0.0203402
\(581\) −13.0896 + 26.9054i −0.543048 + 1.11622i
\(582\) −9.40608 + 23.3731i −0.389895 + 0.968847i
\(583\) 18.2593i 0.756222i
\(584\) 1.99167 3.44967i 0.0824157 0.142748i
\(585\) −24.1831 + 26.6290i −0.999848 + 1.10097i
\(586\) −24.4527 + 14.1178i −1.01013 + 0.583200i
\(587\) 13.1402 + 7.58651i 0.542355 + 0.313129i 0.746033 0.665909i \(-0.231956\pi\)
−0.203678 + 0.979038i \(0.565290\pi\)
\(588\) −2.89363 + 11.7740i −0.119331 + 0.485551i
\(589\) −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 −0.614449 0.788956i \(-0.710622\pi\)
0.376031 + 0.926607i \(0.377288\pi\)
\(594\) −6.25257 4.50357i −0.256546 0.184784i
\(595\) 49.4792 3.50931i 2.02845 0.143868i
\(596\) −0.882372 + 1.52831i −0.0361434 + 0.0626021i
\(597\) 0.524234 0.410736i 0.0214555 0.0168103i
\(598\) 12.3136 7.57499i 0.503541 0.309765i
\(599\) −39.1019 22.5755i −1.59766 0.922410i −0.991936 0.126736i \(-0.959550\pi\)
−0.605725 0.795674i \(-0.707117\pi\)
\(600\) 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
\(606\) −5.11667 + 12.7144i −0.207851 + 0.516487i
\(607\) −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
\(609\) 0.207074 0.642475i 0.00839108 0.0260344i
\(610\) 24.2934 0.983611
\(611\) −30.8084 16.6590i −1.24638 0.673949i
\(612\) 4.04662 16.4219i 0.163575 0.663815i
\(613\) −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
\(615\) 2.98933 + 3.81536i 0.120541 + 0.153850i
\(616\) −0.277578 3.91369i −0.0111839 0.157687i
\(617\) 3.23236 + 5.59861i 0.130130 + 0.225392i 0.923727 0.383053i \(-0.125127\pi\)
−0.793597 + 0.608444i \(0.791794\pi\)
\(618\) 17.6417 + 7.09956i 0.709651 + 0.285586i
\(619\) −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
\(624\) −2.16893 + 5.85626i −0.0868269 + 0.234438i
\(625\) 9.29110 + 16.0927i 0.371644 + 0.643706i
\(626\) 12.3381 7.12342i 0.493131 0.284709i
\(627\) 8.50032 + 10.8492i 0.339470 + 0.433276i
\(628\) 5.26499 + 3.03974i 0.210096 + 0.121299i
\(629\) 57.3124i 2.28520i
\(630\) 4.48640 26.0116i 0.178743 1.03633i
\(631\) 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 \(-0.983002\pi\)
0.998575 0.0533741i \(-0.0169976\pi\)
\(642\) 25.0959 19.6625i 0.990455 0.776018i
\(643\) −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 \(0.0487747\pi\)
−0.361959 + 0.932194i \(0.617892\pi\)
\(648\) −7.96959 4.18159i −0.313075 0.164268i
\(649\) 0.194542 0.112319i 0.00763644 0.00440890i
\(650\) 21.8382 0.609503i 0.856565 0.0239067i
\(651\) −6.01741 1.93946i −0.235841 0.0760133i
\(652\) 12.7222 + 7.34518i 0.498241 + 0.287659i
\(653\) 29.7232i 1.16316i −0.813490 0.581579i \(-0.802435\pi\)
0.813490 0.581579i \(-0.197565\pi\)
\(654\) −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
\(657\) 8.61884 + 8.27755i 0.336253 + 0.322938i
\(658\) 25.6362 1.81824i 0.999403 0.0708825i
\(659\) −11.1744 + 6.45156i −0.435294 + 0.251317i −0.701599 0.712572i \(-0.747530\pi\)
0.266305 + 0.963889i \(0.414197\pi\)
\(660\) 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
\(663\) 12.2278 33.0158i 0.474888 1.28223i
\(664\) 11.3089i 0.438871i
\(665\) −20.6544 + 42.4547i −0.800943 + 1.64632i
\(666\) −29.6120 7.29689i −1.14744 0.282749i
\(667\) 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
\(672\) −0.963367 4.48017i −0.0371627 0.172826i
\(673\) 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
\(675\) −3.16217 + 31.3253i −0.121712 + 1.20571i
\(676\) −5.86193 + 11.6034i −0.225459 + 0.446283i
\(677\) −7.57768 13.1249i −0.291234 0.504432i 0.682868 0.730542i \(-0.260732\pi\)
−0.974102 + 0.226110i \(0.927399\pi\)
\(678\) −12.9588 5.21502i −0.497678 0.200282i
\(679\) −2.72275 38.3892i −0.104490 1.47324i
\(680\) −16.2366 + 9.37418i −0.622644 + 0.359484i
\(681\) 5.91862 4.63722i 0.226802 0.177699i
\(682\) 2.04591 0.0783421
\(683\) 4.29790 0.164455 0.0822273 0.996614i \(-0.473797\pi\)
0.0822273 + 0.996614i \(0.473797\pi\)
\(684\) 11.6104 + 11.1507i 0.443935 + 0.426356i
\(685\) 32.7479 18.9070i 1.25123 0.722399i
\(686\) −3.90454 18.1040i −0.149076 0.691214i
\(687\) −4.68920 + 11.6522i −0.178904 + 0.444558i
\(688\) −4.56492 7.90667i −0.174036 0.301439i
\(689\) −1.23856 44.3772i −0.0471856 1.69064i
\(690\) 8.62239 21.4257i 0.328249 0.815663i
\(691\) 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
\(693\) 11.5993 + 2.00061i 0.440620 + 0.0759971i
\(694\) 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
\(699\) 10.1787 + 4.09623i 0.384993 + 0.154934i
\(700\) −13.2815 + 8.97767i −0.501993 + 0.339324i
\(701\) 11.4867i 0.433848i 0.976189 + 0.216924i \(0.0696023\pi\)
−0.976189 + 0.216924i \(0.930398\pi\)
\(702\) −15.5017 10.5213i −0.585073 0.397101i
\(703\) 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
\(708\) 0.206530 0.161815i 0.00776187 0.00608139i
\(709\) 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
\(714\) 5.43118 + 25.2579i 0.203257 + 0.945251i
\(715\) 0.496078 + 17.7742i 0.0185523 + 0.664718i
\(716\) −5.43096 + 3.13557i −0.202965 + 0.117182i
\(717\) −22.2241 28.3653i −0.829974 1.05932i
\(718\) 11.5648 + 20.0308i 0.431594 + 0.747543i
\(719\) 16.3337 28.2908i 0.609143 1.05507i −0.382239 0.924064i \(-0.624847\pi\)
0.991382 0.131004i \(-0.0418199\pi\)
\(720\) 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
\(723\) 15.7912 + 20.1548i 0.587282 + 0.749566i
\(724\) 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
\(735\) 11.2438 + 38.7205i 0.414733 + 1.42823i
\(736\) 4.00965i 0.147798i
\(737\) −12.7702 7.37289i −0.470397 0.271584i
\(738\) −1.74865 + 1.82075i −0.0643688 + 0.0670227i
\(739\) 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
\(741\) 21.3950 + 25.7912i 0.785966 + 0.947465i
\(742\) 18.2434 + 26.9891i 0.669737 + 0.990802i
\(743\) −16.0910 + 27.8705i −0.590323 + 1.02247i 0.403866 + 0.914818i \(0.367666\pi\)
−0.994189 + 0.107651i \(0.965667\pi\)
\(744\) 2.36587 0.335810i 0.0867369 0.0123114i
\(745\) 5.86872i 0.215013i
\(746\) 10.0844 17.4667i 0.369216 0.639501i
\(747\) 32.9413 + 8.11729i 1.20526 + 0.296996i
\(748\) −4.18021 7.24034i −0.152844 0.264733i
\(749\) −21.3050 + 43.7920i −0.778467 + 1.60012i
\(750\) 4.80242 3.76268i 0.175360 0.137394i
\(751\) −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
\(753\) −3.01407 + 7.48965i −0.109839 + 0.272938i
\(754\) 0.0148173 + 0.530897i 0.000539615 + 0.0193341i
\(755\) 33.6897 1.22610
\(756\) 13.7416 + 0.409611i 0.499778 + 0.0148974i
\(757\) −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
\(759\) 9.55433 + 3.84497i 0.346800 + 0.139563i
\(760\) 17.8446i 0.647291i
\(761\) −34.4435 19.8859i −1.24857 0.720865i −0.277750 0.960654i \(-0.589589\pi\)
−0.970825 + 0.239789i \(0.922922\pi\)
\(762\) −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
\(768\) 1.06823 + 1.36341i 0.0385463 + 0.0491979i
\(769\) 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
\(771\) 4.67623 + 5.96841i 0.168410 + 0.214947i
\(772\) 15.1366 8.73915i 0.544780 0.314529i
\(773\) 24.4013i 0.877652i 0.898572 + 0.438826i \(0.144606\pi\)
−0.898572 + 0.438826i \(0.855394\pi\)
\(774\) 26.3077 7.62175i 0.945610 0.273958i<