Properties

Label 280.2.bj.f.171.1
Level $280$
Weight $2$
Character 280.171
Analytic conductor $2.236$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.bj (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 171.1
Character \(\chi\) \(=\) 280.171
Dual form 280.2.bj.f.131.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41058 - 0.101290i) q^{2} +(0.725648 + 0.418953i) q^{3} +(1.97948 + 0.285754i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-0.981150 - 0.664468i) q^{6} +(-2.36913 - 1.17781i) q^{7} +(-2.76328 - 0.603581i) q^{8} +(-1.14896 - 1.99005i) q^{9} +O(q^{10})\) \(q+(-1.41058 - 0.101290i) q^{2} +(0.725648 + 0.418953i) q^{3} +(1.97948 + 0.285754i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-0.981150 - 0.664468i) q^{6} +(-2.36913 - 1.17781i) q^{7} +(-2.76328 - 0.603581i) q^{8} +(-1.14896 - 1.99005i) q^{9} +(0.617571 + 1.27224i) q^{10} +(2.98938 - 5.17776i) q^{11} +(1.31669 + 1.03667i) q^{12} -2.87544 q^{13} +(3.22254 + 1.90137i) q^{14} -0.837906i q^{15} +(3.83669 + 1.13129i) q^{16} +(2.07668 + 1.19897i) q^{17} +(1.41913 + 2.92351i) q^{18} +(-4.05564 + 2.34152i) q^{19} +(-0.742270 - 1.85716i) q^{20} +(-1.22570 - 1.84723i) q^{21} +(-4.74122 + 7.00086i) q^{22} +(5.81623 - 3.35800i) q^{23} +(-1.75229 - 1.59567i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(4.05605 + 0.291252i) q^{26} -4.43915i q^{27} +(-4.35307 - 3.00845i) q^{28} -1.31035i q^{29} +(-0.0848712 + 1.18194i) q^{30} +(4.34775 - 7.53053i) q^{31} +(-5.29737 - 1.98439i) q^{32} +(4.33848 - 2.50482i) q^{33} +(-2.80789 - 1.90160i) q^{34} +(0.164546 + 2.64063i) q^{35} +(-1.70567 - 4.26759i) q^{36} +(-3.26889 + 1.88729i) q^{37} +(5.95798 - 2.89212i) q^{38} +(-2.08656 - 1.20468i) q^{39} +(0.858921 + 2.69486i) q^{40} +1.79404i q^{41} +(1.54185 + 2.72982i) q^{42} -6.73760 q^{43} +(7.39699 - 9.39505i) q^{44} +(-1.14896 + 1.99005i) q^{45} +(-8.54439 + 4.14761i) q^{46} +(0.874599 + 1.51485i) q^{47} +(2.31013 + 2.42831i) q^{48} +(4.22551 + 5.58078i) q^{49} +(0.793010 - 1.17095i) q^{50} +(1.00463 + 1.74007i) q^{51} +(-5.69188 - 0.821671i) q^{52} +(-0.0994447 - 0.0574144i) q^{53} +(-0.449640 + 6.26179i) q^{54} -5.97876 q^{55} +(5.83564 + 4.68458i) q^{56} -3.92395 q^{57} +(-0.132724 + 1.84835i) q^{58} +(2.61363 + 1.50898i) q^{59} +(0.239435 - 1.65862i) q^{60} +(4.40120 + 7.62310i) q^{61} +(-6.89562 + 10.1820i) q^{62} +(0.378112 + 6.06794i) q^{63} +(7.27138 + 3.33572i) q^{64} +(1.43772 + 2.49021i) q^{65} +(-6.37349 + 3.09381i) q^{66} +(-2.83761 + 4.91489i) q^{67} +(3.76814 + 2.96677i) q^{68} +5.62738 q^{69} +(0.0353631 - 3.74149i) q^{70} -3.06734i q^{71} +(1.97373 + 6.19255i) q^{72} +(8.69332 + 5.01909i) q^{73} +(4.80220 - 2.33108i) q^{74} +(-0.725648 + 0.418953i) q^{75} +(-8.69716 + 3.47608i) q^{76} +(-13.1807 + 8.74583i) q^{77} +(2.82124 + 1.91064i) q^{78} +(11.9852 - 6.91965i) q^{79} +(-0.938618 - 3.88832i) q^{80} +(-1.58707 + 2.74889i) q^{81} +(0.181717 - 2.53063i) q^{82} -17.4215i q^{83} +(-1.89840 - 4.00681i) q^{84} -2.39795i q^{85} +(9.50393 + 0.682449i) q^{86} +(0.548973 - 0.950850i) q^{87} +(-11.3857 + 12.5032i) q^{88} +(-11.0658 + 6.38886i) q^{89} +(1.82227 - 2.69075i) q^{90} +(6.81228 + 3.38674i) q^{91} +(12.4727 - 4.98508i) q^{92} +(6.30988 - 3.64301i) q^{93} +(-1.08025 - 2.22541i) q^{94} +(4.05564 + 2.34152i) q^{95} +(-3.01266 - 3.65932i) q^{96} +3.76431i q^{97} +(-5.39515 - 8.30014i) q^{98} -13.7387 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q + 3q^{2} + 12q^{3} + q^{4} - 12q^{5} - 2q^{6} + 10q^{7} - 6q^{8} + 12q^{9} + O(q^{10}) \) \( 24q + 3q^{2} + 12q^{3} + q^{4} - 12q^{5} - 2q^{6} + 10q^{7} - 6q^{8} + 12q^{9} - 3q^{10} + 8q^{11} + 10q^{12} + 20q^{13} + 5q^{14} - 3q^{16} + 6q^{17} + 3q^{18} + 18q^{19} - 2q^{20} - 26q^{21} - 16q^{22} + 18q^{23} - 18q^{24} - 12q^{25} - 37q^{26} - 41q^{28} - 8q^{30} - 6q^{31} + 3q^{32} + 12q^{33} - 20q^{34} - 8q^{35} - 22q^{36} + 15q^{38} - 18q^{39} + 3q^{40} - 12q^{42} + 32q^{43} + 35q^{44} + 12q^{45} - 49q^{46} - 14q^{48} + 8q^{49} - 22q^{51} - 41q^{52} + 30q^{53} + 104q^{54} - 16q^{55} + 44q^{56} - 44q^{57} - 54q^{58} - 18q^{59} - 8q^{60} + 22q^{61} + 8q^{62} - 12q^{63} + 58q^{64} - 10q^{65} + 8q^{66} - 8q^{67} + 18q^{68} - 12q^{69} - q^{70} - 17q^{72} + 30q^{73} + 53q^{74} - 12q^{75} + 8q^{76} - 32q^{77} - 8q^{78} + 6q^{79} - 3q^{80} - 4q^{81} - 57q^{82} + 42q^{86} + 14q^{87} - 17q^{88} - 60q^{89} + 24q^{90} + 18q^{91} - 38q^{92} - 18q^{93} + 19q^{94} - 18q^{95} - 74q^{96} + 3q^{98} - 56q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41058 0.101290i −0.997432 0.0716226i
\(3\) 0.725648 + 0.418953i 0.418953 + 0.241883i 0.694629 0.719368i \(-0.255568\pi\)
−0.275676 + 0.961251i \(0.588902\pi\)
\(4\) 1.97948 + 0.285754i 0.989740 + 0.142877i
\(5\) −0.500000 0.866025i −0.223607 0.387298i
\(6\) −0.981150 0.664468i −0.400553 0.271268i
\(7\) −2.36913 1.17781i −0.895445 0.445172i
\(8\) −2.76328 0.603581i −0.976965 0.213398i
\(9\) −1.14896 1.99005i −0.382985 0.663350i
\(10\) 0.617571 + 1.27224i 0.195293 + 0.402319i
\(11\) 2.98938 5.17776i 0.901332 1.56115i 0.0755665 0.997141i \(-0.475923\pi\)
0.825766 0.564013i \(-0.190743\pi\)
\(12\) 1.31669 + 1.03667i 0.380095 + 0.299260i
\(13\) −2.87544 −0.797504 −0.398752 0.917059i \(-0.630557\pi\)
−0.398752 + 0.917059i \(0.630557\pi\)
\(14\) 3.22254 + 1.90137i 0.861261 + 0.508163i
\(15\) 0.837906i 0.216346i
\(16\) 3.83669 + 1.13129i 0.959172 + 0.282823i
\(17\) 2.07668 + 1.19897i 0.503670 + 0.290794i 0.730228 0.683204i \(-0.239414\pi\)
−0.226558 + 0.973998i \(0.572747\pi\)
\(18\) 1.41913 + 2.92351i 0.334491 + 0.689077i
\(19\) −4.05564 + 2.34152i −0.930427 + 0.537182i −0.886947 0.461872i \(-0.847178\pi\)
−0.0434803 + 0.999054i \(0.513845\pi\)
\(20\) −0.742270 1.85716i −0.165977 0.415273i
\(21\) −1.22570 1.84723i −0.267470 0.403099i
\(22\) −4.74122 + 7.00086i −1.01083 + 1.49259i
\(23\) 5.81623 3.35800i 1.21277 0.700191i 0.249406 0.968399i \(-0.419765\pi\)
0.963361 + 0.268208i \(0.0864314\pi\)
\(24\) −1.75229 1.59567i −0.357685 0.325715i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) 4.05605 + 0.291252i 0.795456 + 0.0571193i
\(27\) 4.43915i 0.854316i
\(28\) −4.35307 3.00845i −0.822653 0.568543i
\(29\) 1.31035i 0.243325i −0.992572 0.121663i \(-0.961177\pi\)
0.992572 0.121663i \(-0.0388226\pi\)
\(30\) −0.0848712 + 1.18194i −0.0154953 + 0.215791i
\(31\) 4.34775 7.53053i 0.780879 1.35252i −0.150551 0.988602i \(-0.548105\pi\)
0.931430 0.363920i \(-0.118562\pi\)
\(32\) −5.29737 1.98439i −0.936452 0.350795i
\(33\) 4.33848 2.50482i 0.755232 0.436034i
\(34\) −2.80789 1.90160i −0.481549 0.326121i
\(35\) 0.164546 + 2.64063i 0.0278133 + 0.446348i
\(36\) −1.70567 4.26759i −0.284279 0.711265i
\(37\) −3.26889 + 1.88729i −0.537402 + 0.310269i −0.744025 0.668151i \(-0.767086\pi\)
0.206624 + 0.978421i \(0.433752\pi\)
\(38\) 5.95798 2.89212i 0.966512 0.469163i
\(39\) −2.08656 1.20468i −0.334117 0.192903i
\(40\) 0.858921 + 2.69486i 0.135807 + 0.426094i
\(41\) 1.79404i 0.280181i 0.990139 + 0.140091i \(0.0447394\pi\)
−0.990139 + 0.140091i \(0.955261\pi\)
\(42\) 1.54185 + 2.72982i 0.237912 + 0.421221i
\(43\) −6.73760 −1.02747 −0.513737 0.857948i \(-0.671739\pi\)
−0.513737 + 0.857948i \(0.671739\pi\)
\(44\) 7.39699 9.39505i 1.11514 1.41636i
\(45\) −1.14896 + 1.99005i −0.171276 + 0.296659i
\(46\) −8.54439 + 4.14761i −1.25980 + 0.611532i
\(47\) 0.874599 + 1.51485i 0.127573 + 0.220963i 0.922736 0.385433i \(-0.125948\pi\)
−0.795163 + 0.606396i \(0.792615\pi\)
\(48\) 2.31013 + 2.42831i 0.333438 + 0.350497i
\(49\) 4.22551 + 5.58078i 0.603644 + 0.797254i
\(50\) 0.793010 1.17095i 0.112149 0.165598i
\(51\) 1.00463 + 1.74007i 0.140676 + 0.243658i
\(52\) −5.69188 0.821671i −0.789322 0.113945i
\(53\) −0.0994447 0.0574144i −0.0136598 0.00788648i 0.493155 0.869942i \(-0.335844\pi\)
−0.506814 + 0.862055i \(0.669177\pi\)
\(54\) −0.449640 + 6.26179i −0.0611883 + 0.852122i
\(55\) −5.97876 −0.806176
\(56\) 5.83564 + 4.68458i 0.779820 + 0.626004i
\(57\) −3.92395 −0.519740
\(58\) −0.132724 + 1.84835i −0.0174276 + 0.242700i
\(59\) 2.61363 + 1.50898i 0.340266 + 0.196453i 0.660390 0.750923i \(-0.270391\pi\)
−0.320124 + 0.947376i \(0.603724\pi\)
\(60\) 0.239435 1.65862i 0.0309110 0.214127i
\(61\) 4.40120 + 7.62310i 0.563516 + 0.976038i 0.997186 + 0.0749664i \(0.0238850\pi\)
−0.433670 + 0.901072i \(0.642782\pi\)
\(62\) −6.89562 + 10.1820i −0.875745 + 1.29312i
\(63\) 0.378112 + 6.06794i 0.0476376 + 0.764488i
\(64\) 7.27138 + 3.33572i 0.908923 + 0.416965i
\(65\) 1.43772 + 2.49021i 0.178327 + 0.308872i
\(66\) −6.37349 + 3.09381i −0.784522 + 0.380822i
\(67\) −2.83761 + 4.91489i −0.346670 + 0.600449i −0.985656 0.168769i \(-0.946021\pi\)
0.638986 + 0.769218i \(0.279354\pi\)
\(68\) 3.76814 + 2.96677i 0.456954 + 0.359773i
\(69\) 5.62738 0.677457
\(70\) 0.0353631 3.74149i 0.00422670 0.447194i
\(71\) 3.06734i 0.364026i −0.983296 0.182013i \(-0.941739\pi\)
0.983296 0.182013i \(-0.0582613\pi\)
\(72\) 1.97373 + 6.19255i 0.232606 + 0.729799i
\(73\) 8.69332 + 5.01909i 1.01748 + 0.587440i 0.913372 0.407126i \(-0.133469\pi\)
0.104104 + 0.994566i \(0.466802\pi\)
\(74\) 4.80220 2.33108i 0.558244 0.270982i
\(75\) −0.725648 + 0.418953i −0.0837906 + 0.0483765i
\(76\) −8.69716 + 3.47608i −0.997632 + 0.398734i
\(77\) −13.1807 + 8.74583i −1.50208 + 0.996680i
\(78\) 2.82124 + 1.91064i 0.319443 + 0.216337i
\(79\) 11.9852 6.91965i 1.34844 0.778522i 0.360411 0.932794i \(-0.382636\pi\)
0.988028 + 0.154272i \(0.0493031\pi\)
\(80\) −0.938618 3.88832i −0.104941 0.434727i
\(81\) −1.58707 + 2.74889i −0.176341 + 0.305432i
\(82\) 0.181717 2.53063i 0.0200673 0.279462i
\(83\) 17.4215i 1.91226i −0.292940 0.956131i \(-0.594634\pi\)
0.292940 0.956131i \(-0.405366\pi\)
\(84\) −1.89840 4.00681i −0.207132 0.437179i
\(85\) 2.39795i 0.260094i
\(86\) 9.50393 + 0.682449i 1.02484 + 0.0735903i
\(87\) 0.548973 0.950850i 0.0588561 0.101942i
\(88\) −11.3857 + 12.5032i −1.21372 + 1.33285i
\(89\) −11.0658 + 6.38886i −1.17297 + 0.677217i −0.954379 0.298598i \(-0.903481\pi\)
−0.218596 + 0.975815i \(0.570148\pi\)
\(90\) 1.82227 2.69075i 0.192084 0.283630i
\(91\) 6.81228 + 3.38674i 0.714121 + 0.355026i
\(92\) 12.4727 4.98508i 1.30037 0.519731i
\(93\) 6.30988 3.64301i 0.654304 0.377762i
\(94\) −1.08025 2.22541i −0.111420 0.229533i
\(95\) 4.05564 + 2.34152i 0.416100 + 0.240235i
\(96\) −3.01266 3.65932i −0.307479 0.373478i
\(97\) 3.76431i 0.382208i 0.981570 + 0.191104i \(0.0612067\pi\)
−0.981570 + 0.191104i \(0.938793\pi\)
\(98\) −5.39515 8.30014i −0.544992 0.838441i
\(99\) −13.7387 −1.38079
\(100\) −1.23721 + 1.57140i −0.123721 + 0.157140i
\(101\) −8.14097 + 14.1006i −0.810057 + 1.40306i 0.102767 + 0.994705i \(0.467230\pi\)
−0.912824 + 0.408354i \(0.866103\pi\)
\(102\) −1.24086 2.55626i −0.122863 0.253108i
\(103\) 1.13180 + 1.96034i 0.111520 + 0.193158i 0.916383 0.400302i \(-0.131095\pi\)
−0.804864 + 0.593460i \(0.797762\pi\)
\(104\) 7.94564 + 1.73556i 0.779134 + 0.170186i
\(105\) −0.986898 + 1.98511i −0.0963114 + 0.193726i
\(106\) 0.134459 + 0.0910605i 0.0130599 + 0.00884458i
\(107\) 1.21095 + 2.09743i 0.117067 + 0.202766i 0.918604 0.395179i \(-0.129317\pi\)
−0.801537 + 0.597945i \(0.795984\pi\)
\(108\) 1.26851 8.78722i 0.122062 0.845551i
\(109\) −6.35090 3.66669i −0.608306 0.351206i 0.163996 0.986461i \(-0.447561\pi\)
−0.772302 + 0.635255i \(0.780895\pi\)
\(110\) 8.43353 + 0.605586i 0.804106 + 0.0577404i
\(111\) −3.16275 −0.300195
\(112\) −7.75715 7.19908i −0.732981 0.680249i
\(113\) 15.0661 1.41730 0.708651 0.705559i \(-0.249304\pi\)
0.708651 + 0.705559i \(0.249304\pi\)
\(114\) 5.53506 + 0.397456i 0.518406 + 0.0372251i
\(115\) −5.81623 3.35800i −0.542366 0.313135i
\(116\) 0.374437 2.59380i 0.0347656 0.240829i
\(117\) 3.30376 + 5.72228i 0.305433 + 0.529025i
\(118\) −3.53390 2.39328i −0.325322 0.220319i
\(119\) −3.50775 5.28646i −0.321555 0.484609i
\(120\) −0.505744 + 2.31537i −0.0461679 + 0.211363i
\(121\) −12.3728 21.4303i −1.12480 1.94821i
\(122\) −5.43611 11.1988i −0.492162 1.01389i
\(123\) −0.751617 + 1.30184i −0.0677710 + 0.117383i
\(124\) 10.7582 13.6641i 0.966112 1.22708i
\(125\) 1.00000 0.0894427
\(126\) 0.0812614 8.59762i 0.00723934 0.765937i
\(127\) 5.22434i 0.463585i 0.972765 + 0.231793i \(0.0744591\pi\)
−0.972765 + 0.231793i \(0.925541\pi\)
\(128\) −9.91900 5.44182i −0.876724 0.480993i
\(129\) −4.88913 2.82274i −0.430464 0.248528i
\(130\) −1.77579 3.65827i −0.155747 0.320851i
\(131\) 7.76094 4.48078i 0.678076 0.391487i −0.121054 0.992646i \(-0.538627\pi\)
0.799130 + 0.601159i \(0.205294\pi\)
\(132\) 9.30370 3.71851i 0.809783 0.323655i
\(133\) 12.3662 0.770575i 1.07228 0.0668173i
\(134\) 4.50051 6.64543i 0.388785 0.574078i
\(135\) −3.84442 + 2.21958i −0.330875 + 0.191031i
\(136\) −5.01477 4.56654i −0.430013 0.391578i
\(137\) 10.4348 18.0735i 0.891502 1.54413i 0.0534263 0.998572i \(-0.482986\pi\)
0.838075 0.545554i \(-0.183681\pi\)
\(138\) −7.93788 0.569995i −0.675717 0.0485212i
\(139\) 12.8189i 1.08728i 0.839318 + 0.543641i \(0.182955\pi\)
−0.839318 + 0.543641i \(0.817045\pi\)
\(140\) −0.428857 + 5.27410i −0.0362450 + 0.445742i
\(141\) 1.46566i 0.123431i
\(142\) −0.310689 + 4.32673i −0.0260725 + 0.363091i
\(143\) −8.59580 + 14.8884i −0.718817 + 1.24503i
\(144\) −2.15686 8.93501i −0.179738 0.744584i
\(145\) −1.13479 + 0.655173i −0.0942394 + 0.0544091i
\(146\) −11.7543 7.96038i −0.972789 0.658806i
\(147\) 0.728148 + 5.81997i 0.0600566 + 0.480023i
\(148\) −7.01000 + 2.80176i −0.576219 + 0.230303i
\(149\) −0.696284 + 0.402000i −0.0570418 + 0.0329331i −0.528250 0.849089i \(-0.677151\pi\)
0.471208 + 0.882022i \(0.343818\pi\)
\(150\) 1.06602 0.517467i 0.0870403 0.0422510i
\(151\) 11.3405 + 6.54743i 0.922875 + 0.532822i 0.884551 0.466443i \(-0.154465\pi\)
0.0383242 + 0.999265i \(0.487798\pi\)
\(152\) 12.6201 4.02237i 1.02363 0.326257i
\(153\) 5.51027i 0.445479i
\(154\) 19.4783 11.0016i 1.56960 0.886537i
\(155\) −8.69550 −0.698440
\(156\) −3.78606 2.98088i −0.303128 0.238661i
\(157\) 8.58489 14.8695i 0.685149 1.18671i −0.288241 0.957558i \(-0.593070\pi\)
0.973390 0.229155i \(-0.0735962\pi\)
\(158\) −17.6070 + 8.54676i −1.40074 + 0.679944i
\(159\) −0.0481079 0.0833254i −0.00381521 0.00660813i
\(160\) 0.930151 + 5.57986i 0.0735349 + 0.441127i
\(161\) −17.7345 + 1.10509i −1.39767 + 0.0870932i
\(162\) 2.51713 3.71678i 0.197764 0.292018i
\(163\) −2.93458 5.08284i −0.229854 0.398119i 0.727911 0.685672i \(-0.240492\pi\)
−0.957765 + 0.287553i \(0.907158\pi\)
\(164\) −0.512654 + 3.55126i −0.0400315 + 0.277307i
\(165\) −4.33848 2.50482i −0.337750 0.195000i
\(166\) −1.76462 + 24.5745i −0.136961 + 1.90735i
\(167\) 6.02260 0.466043 0.233022 0.972472i \(-0.425139\pi\)
0.233022 + 0.972472i \(0.425139\pi\)
\(168\) 2.27200 + 5.84422i 0.175289 + 0.450891i
\(169\) −4.73183 −0.363987
\(170\) −0.242887 + 3.38250i −0.0186286 + 0.259426i
\(171\) 9.31950 + 5.38062i 0.712680 + 0.411466i
\(172\) −13.3369 1.92530i −1.01693 0.146803i
\(173\) 1.08168 + 1.87352i 0.0822385 + 0.142441i 0.904211 0.427086i \(-0.140460\pi\)
−0.821973 + 0.569527i \(0.807126\pi\)
\(174\) −0.870683 + 1.28565i −0.0660063 + 0.0974646i
\(175\) 2.20458 1.46282i 0.166651 0.110578i
\(176\) 17.3269 16.4836i 1.30606 1.24250i
\(177\) 1.26439 + 2.18998i 0.0950371 + 0.164609i
\(178\) 16.2564 7.89115i 1.21847 0.591467i
\(179\) 5.63498 9.76008i 0.421178 0.729502i −0.574877 0.818240i \(-0.694950\pi\)
0.996055 + 0.0887377i \(0.0282833\pi\)
\(180\) −2.84300 + 3.61095i −0.211905 + 0.269144i
\(181\) 15.2369 1.13255 0.566274 0.824217i \(-0.308384\pi\)
0.566274 + 0.824217i \(0.308384\pi\)
\(182\) −9.26624 5.46728i −0.686860 0.405262i
\(183\) 7.37559i 0.545219i
\(184\) −18.0987 + 5.76851i −1.33425 + 0.425261i
\(185\) 3.26889 + 1.88729i 0.240333 + 0.138757i
\(186\) −9.26959 + 4.49964i −0.679680 + 0.329929i
\(187\) 12.4160 7.16838i 0.907948 0.524204i
\(188\) 1.29838 + 3.24854i 0.0946938 + 0.236924i
\(189\) −5.22850 + 10.5169i −0.380317 + 0.764993i
\(190\) −5.48363 3.71370i −0.397825 0.269420i
\(191\) −5.33642 + 3.08099i −0.386130 + 0.222932i −0.680482 0.732765i \(-0.738230\pi\)
0.294352 + 0.955697i \(0.404896\pi\)
\(192\) 3.87895 + 5.46693i 0.279939 + 0.394541i
\(193\) 5.79750 10.0416i 0.417313 0.722808i −0.578355 0.815785i \(-0.696305\pi\)
0.995668 + 0.0929776i \(0.0296385\pi\)
\(194\) 0.381285 5.30987i 0.0273747 0.381226i
\(195\) 2.40935i 0.172537i
\(196\) 6.76958 + 12.2545i 0.483541 + 0.875321i
\(197\) 13.1499i 0.936892i −0.883492 0.468446i \(-0.844814\pi\)
0.883492 0.468446i \(-0.155186\pi\)
\(198\) 19.3795 + 1.39158i 1.37724 + 0.0988956i
\(199\) −10.0683 + 17.4388i −0.713724 + 1.23621i 0.249726 + 0.968317i \(0.419659\pi\)
−0.963450 + 0.267889i \(0.913674\pi\)
\(200\) 1.90435 2.09128i 0.134658 0.147876i
\(201\) −4.11822 + 2.37765i −0.290477 + 0.167707i
\(202\) 12.9117 19.0654i 0.908467 1.34144i
\(203\) −1.54334 + 3.10437i −0.108321 + 0.217884i
\(204\) 1.49141 + 3.73150i 0.104420 + 0.261258i
\(205\) 1.55368 0.897018i 0.108514 0.0626504i
\(206\) −1.39793 2.87985i −0.0973987 0.200649i
\(207\) −13.3652 7.71639i −0.928944 0.536326i
\(208\) −11.0322 3.25296i −0.764944 0.225552i
\(209\) 27.9988i 1.93672i
\(210\) 1.59317 2.70019i 0.109939 0.186331i
\(211\) 4.31289 0.296912 0.148456 0.988919i \(-0.452570\pi\)
0.148456 + 0.988919i \(0.452570\pi\)
\(212\) −0.180443 0.142068i −0.0123928 0.00975724i
\(213\) 1.28507 2.22581i 0.0880516 0.152510i
\(214\) −1.49570 3.08125i −0.102244 0.210630i
\(215\) 3.36880 + 5.83493i 0.229750 + 0.397939i
\(216\) −2.67939 + 12.2666i −0.182309 + 0.834637i
\(217\) −19.1699 + 12.7199i −1.30134 + 0.863484i
\(218\) 8.58706 + 5.81545i 0.581589 + 0.393872i
\(219\) 4.20553 + 7.28419i 0.284183 + 0.492220i
\(220\) −11.8348 1.70846i −0.797905 0.115184i
\(221\) −5.97138 3.44758i −0.401679 0.231909i
\(222\) 4.46132 + 0.320354i 0.299424 + 0.0215007i
\(223\) −11.5948 −0.776447 −0.388224 0.921565i \(-0.626911\pi\)
−0.388224 + 0.921565i \(0.626911\pi\)
\(224\) 10.2129 + 10.9406i 0.682378 + 0.731000i
\(225\) 2.29791 0.153194
\(226\) −21.2520 1.52604i −1.41366 0.101511i
\(227\) 16.7181 + 9.65222i 1.10962 + 0.640640i 0.938731 0.344650i \(-0.112002\pi\)
0.170890 + 0.985290i \(0.445336\pi\)
\(228\) −7.76739 1.12129i −0.514408 0.0742591i
\(229\) −8.54131 14.7940i −0.564425 0.977613i −0.997103 0.0760647i \(-0.975764\pi\)
0.432678 0.901549i \(-0.357569\pi\)
\(230\) 7.86413 + 5.32585i 0.518545 + 0.351176i
\(231\) −13.2286 + 0.824315i −0.870379 + 0.0542360i
\(232\) −0.790899 + 3.62085i −0.0519251 + 0.237720i
\(233\) −6.11671 10.5945i −0.400719 0.694066i 0.593094 0.805133i \(-0.297906\pi\)
−0.993813 + 0.111068i \(0.964573\pi\)
\(234\) −4.08061 8.40638i −0.266758 0.549542i
\(235\) 0.874599 1.51485i 0.0570525 0.0988179i
\(236\) 4.74244 + 3.73386i 0.308707 + 0.243054i
\(237\) 11.5960 0.753244
\(238\) 4.41251 + 7.81229i 0.286021 + 0.506395i
\(239\) 1.56688i 0.101353i −0.998715 0.0506767i \(-0.983862\pi\)
0.998715 0.0506767i \(-0.0161378\pi\)
\(240\) 0.947916 3.21479i 0.0611877 0.207514i
\(241\) 19.0828 + 11.0174i 1.22923 + 0.709695i 0.966869 0.255275i \(-0.0821659\pi\)
0.262360 + 0.964970i \(0.415499\pi\)
\(242\) 15.2822 + 31.4825i 0.982376 + 2.02377i
\(243\) −13.8366 + 7.98855i −0.887617 + 0.512466i
\(244\) 6.53376 + 16.3474i 0.418281 + 1.04654i
\(245\) 2.72034 6.44979i 0.173796 0.412062i
\(246\) 1.19208 1.76022i 0.0760042 0.112227i
\(247\) 11.6618 6.73291i 0.742019 0.428405i
\(248\) −16.5593 + 18.1847i −1.05152 + 1.15473i
\(249\) 7.29881 12.6419i 0.462543 0.801148i
\(250\) −1.41058 0.101290i −0.0892130 0.00640612i
\(251\) 7.68553i 0.485106i −0.970138 0.242553i \(-0.922015\pi\)
0.970138 0.242553i \(-0.0779849\pi\)
\(252\) −0.985475 + 12.1194i −0.0620791 + 0.763451i
\(253\) 40.1534i 2.52442i
\(254\) 0.529171 7.36936i 0.0332032 0.462395i
\(255\) 1.00463 1.74007i 0.0629122 0.108967i
\(256\) 13.4404 + 8.68082i 0.840023 + 0.542551i
\(257\) 1.93788 1.11883i 0.120881 0.0697909i −0.438340 0.898809i \(-0.644433\pi\)
0.559221 + 0.829018i \(0.311100\pi\)
\(258\) 6.61060 + 4.47692i 0.411558 + 0.278721i
\(259\) 9.96728 0.621092i 0.619337 0.0385928i
\(260\) 2.13435 + 5.34015i 0.132367 + 0.331182i
\(261\) −2.60765 + 1.50553i −0.161410 + 0.0931900i
\(262\) −11.4013 + 5.53440i −0.704374 + 0.341916i
\(263\) 15.0365 + 8.68130i 0.927188 + 0.535312i 0.885921 0.463836i \(-0.153527\pi\)
0.0412668 + 0.999148i \(0.486861\pi\)
\(264\) −13.5003 + 4.30289i −0.830884 + 0.264825i
\(265\) 0.114829i 0.00705388i
\(266\) −17.5216 0.165607i −1.07432 0.0101540i
\(267\) −10.7065 −0.655229
\(268\) −7.02145 + 8.91807i −0.428904 + 0.544758i
\(269\) −0.374476 + 0.648612i −0.0228322 + 0.0395466i −0.877216 0.480096i \(-0.840602\pi\)
0.854384 + 0.519643i \(0.173935\pi\)
\(270\) 5.64769 2.74150i 0.343707 0.166842i
\(271\) −10.8572 18.8052i −0.659527 1.14233i −0.980738 0.195327i \(-0.937423\pi\)
0.321211 0.947008i \(-0.395910\pi\)
\(272\) 6.61120 + 6.94942i 0.400863 + 0.421370i
\(273\) 3.52444 + 5.31161i 0.213309 + 0.321473i
\(274\) −16.5497 + 24.4373i −0.999806 + 1.47631i
\(275\) 2.98938 + 5.17776i 0.180266 + 0.312231i
\(276\) 11.1393 + 1.60805i 0.670506 + 0.0967931i
\(277\) 20.4537 + 11.8089i 1.22894 + 0.709531i 0.966809 0.255500i \(-0.0822402\pi\)
0.262135 + 0.965031i \(0.415574\pi\)
\(278\) 1.29842 18.0821i 0.0778740 1.08449i
\(279\) −19.9815 −1.19626
\(280\) 1.13915 7.39610i 0.0680771 0.442002i
\(281\) −14.4129 −0.859803 −0.429901 0.902876i \(-0.641452\pi\)
−0.429901 + 0.902876i \(0.641452\pi\)
\(282\) 0.148456 2.06744i 0.00884045 0.123114i
\(283\) 10.7892 + 6.22915i 0.641351 + 0.370284i 0.785135 0.619325i \(-0.212594\pi\)
−0.143784 + 0.989609i \(0.545927\pi\)
\(284\) 0.876505 6.07173i 0.0520110 0.360291i
\(285\) 1.96198 + 3.39824i 0.116217 + 0.201295i
\(286\) 13.6331 20.1306i 0.806143 1.19035i
\(287\) 2.11304 4.25030i 0.124729 0.250887i
\(288\) 2.13741 + 12.8220i 0.125948 + 0.755545i
\(289\) −5.62493 9.74266i −0.330878 0.573097i
\(290\) 1.66708 0.809232i 0.0978943 0.0475197i
\(291\) −1.57707 + 2.73157i −0.0924495 + 0.160127i
\(292\) 15.7740 + 12.4194i 0.923106 + 0.726788i
\(293\) −8.47355 −0.495030 −0.247515 0.968884i \(-0.579614\pi\)
−0.247515 + 0.968884i \(0.579614\pi\)
\(294\) −0.437609 8.28330i −0.0255219 0.483092i
\(295\) 3.01797i 0.175713i
\(296\) 10.1720 3.24207i 0.591234 0.188442i
\(297\) −22.9849 13.2703i −1.33372 0.770023i
\(298\) 1.02288 0.496527i 0.0592541 0.0287630i
\(299\) −16.7242 + 9.65573i −0.967187 + 0.558406i
\(300\) −1.55612 + 0.621953i −0.0898429 + 0.0359084i
\(301\) 15.9622 + 7.93564i 0.920047 + 0.457403i
\(302\) −15.3335 10.3844i −0.882343 0.597553i
\(303\) −11.8150 + 6.82137i −0.678752 + 0.391877i
\(304\) −18.2092 + 4.39559i −1.04437 + 0.252104i
\(305\) 4.40120 7.62310i 0.252012 0.436498i
\(306\) −0.558133 + 7.77269i −0.0319064 + 0.444335i
\(307\) 11.9420i 0.681565i −0.940142 0.340783i \(-0.889308\pi\)
0.940142 0.340783i \(-0.110692\pi\)
\(308\) −28.5900 + 13.5458i −1.62907 + 0.771842i
\(309\) 1.89668i 0.107899i
\(310\) 12.2657 + 0.880764i 0.696646 + 0.0500240i
\(311\) 7.74793 13.4198i 0.439345 0.760967i −0.558294 0.829643i \(-0.688544\pi\)
0.997639 + 0.0686757i \(0.0218774\pi\)
\(312\) 5.03862 + 4.58826i 0.285256 + 0.259759i
\(313\) 14.9712 8.64360i 0.846220 0.488565i −0.0131537 0.999913i \(-0.504187\pi\)
0.859374 + 0.511348i \(0.170854\pi\)
\(314\) −13.6158 + 20.1050i −0.768385 + 1.13459i
\(315\) 5.06593 3.36142i 0.285433 0.189395i
\(316\) 25.7018 10.2725i 1.44584 0.577873i
\(317\) −7.20732 + 4.16115i −0.404803 + 0.233713i −0.688554 0.725185i \(-0.741754\pi\)
0.283751 + 0.958898i \(0.408421\pi\)
\(318\) 0.0594202 + 0.122410i 0.00333212 + 0.00686442i
\(319\) −6.78466 3.91712i −0.379868 0.219317i
\(320\) −0.746872 7.96506i −0.0417514 0.445260i
\(321\) 2.02933i 0.113266i
\(322\) 25.1278 + 0.237499i 1.40032 + 0.0132353i
\(323\) −11.2297 −0.624837
\(324\) −3.92708 + 4.98786i −0.218171 + 0.277103i
\(325\) 1.43772 2.49021i 0.0797504 0.138132i
\(326\) 3.62462 + 7.46700i 0.200749 + 0.413559i
\(327\) −3.07235 5.32146i −0.169901 0.294277i
\(328\) 1.08285 4.95741i 0.0597901 0.273727i
\(329\) −0.287823 4.61898i −0.0158682 0.254653i
\(330\) 5.86607 + 3.97270i 0.322916 + 0.218690i
\(331\) 12.6436 + 21.8993i 0.694953 + 1.20369i 0.970197 + 0.242319i \(0.0779082\pi\)
−0.275244 + 0.961375i \(0.588759\pi\)
\(332\) 4.97828 34.4856i 0.273219 1.89264i
\(333\) 7.51162 + 4.33683i 0.411634 + 0.237657i
\(334\) −8.49537 0.610027i −0.464846 0.0333792i
\(335\) 5.67523 0.310071
\(336\) −2.61288 8.47388i −0.142544 0.462288i
\(337\) −0.379048 −0.0206481 −0.0103240 0.999947i \(-0.503286\pi\)
−0.0103240 + 0.999947i \(0.503286\pi\)
\(338\) 6.67463 + 0.479285i 0.363052 + 0.0260697i
\(339\) 10.9327 + 6.31200i 0.593783 + 0.342821i
\(340\) 0.685224 4.74669i 0.0371615 0.257425i
\(341\) −25.9942 45.0232i −1.40766 2.43815i
\(342\) −12.6009 8.53377i −0.681379 0.461453i
\(343\) −3.43764 18.1984i −0.185615 0.982623i
\(344\) 18.6178 + 4.06668i 1.00381 + 0.219261i
\(345\) −2.81369 4.87345i −0.151484 0.262378i
\(346\) −1.33603 2.75232i −0.0718253 0.147965i
\(347\) 4.89803 8.48364i 0.262940 0.455426i −0.704082 0.710119i \(-0.748641\pi\)
0.967022 + 0.254693i \(0.0819745\pi\)
\(348\) 1.35839 1.72532i 0.0728174 0.0924867i
\(349\) 6.73905 0.360733 0.180366 0.983599i \(-0.442272\pi\)
0.180366 + 0.983599i \(0.442272\pi\)
\(350\) −3.25791 + 1.84012i −0.174142 + 0.0983585i
\(351\) 12.7645i 0.681321i
\(352\) −26.1106 + 21.4964i −1.39170 + 1.14576i
\(353\) 18.5926 + 10.7345i 0.989587 + 0.571338i 0.905151 0.425091i \(-0.139758\pi\)
0.0844361 + 0.996429i \(0.473091\pi\)
\(354\) −1.56170 3.21722i −0.0830033 0.170993i
\(355\) −2.65639 + 1.53367i −0.140987 + 0.0813986i
\(356\) −23.7302 + 9.48451i −1.25770 + 0.502678i
\(357\) −0.330614 5.30570i −0.0174980 0.280807i
\(358\) −8.93720 + 13.1966i −0.472346 + 0.697463i
\(359\) 4.15852 2.40092i 0.219478 0.126716i −0.386231 0.922402i \(-0.626223\pi\)
0.605709 + 0.795687i \(0.292890\pi\)
\(360\) 4.37604 4.80557i 0.230638 0.253276i
\(361\) 1.46546 2.53825i 0.0771294 0.133592i
\(362\) −21.4928 1.54334i −1.12964 0.0811160i
\(363\) 20.7345i 1.08828i
\(364\) 12.5170 + 8.65062i 0.656070 + 0.453416i
\(365\) 10.0382i 0.525423i
\(366\) 0.747070 10.4039i 0.0390500 0.543819i
\(367\) 5.81465 10.0713i 0.303522 0.525716i −0.673409 0.739270i \(-0.735171\pi\)
0.976931 + 0.213554i \(0.0685040\pi\)
\(368\) 26.1139 6.30376i 1.36128 0.328606i
\(369\) 3.57022 2.06127i 0.185858 0.107305i
\(370\) −4.41987 2.99328i −0.229778 0.155613i
\(371\) 0.167973 + 0.253149i 0.00872075 + 0.0131429i
\(372\) 13.5313 5.40819i 0.701564 0.280402i
\(373\) −25.2282 + 14.5655i −1.30627 + 0.754174i −0.981471 0.191610i \(-0.938629\pi\)
−0.324797 + 0.945784i \(0.605296\pi\)
\(374\) −18.2399 + 8.85397i −0.943161 + 0.457828i
\(375\) 0.725648 + 0.418953i 0.0374723 + 0.0216346i
\(376\) −1.50242 4.71384i −0.0774815 0.243098i
\(377\) 3.76782i 0.194053i
\(378\) 8.44048 14.3054i 0.434131 0.735789i
\(379\) 2.52399 0.129649 0.0648243 0.997897i \(-0.479351\pi\)
0.0648243 + 0.997897i \(0.479351\pi\)
\(380\) 7.35895 + 5.79392i 0.377506 + 0.297222i
\(381\) −2.18875 + 3.79103i −0.112133 + 0.194221i
\(382\) 7.83953 3.80546i 0.401105 0.194704i
\(383\) 11.6539 + 20.1851i 0.595485 + 1.03141i 0.993478 + 0.114022i \(0.0363734\pi\)
−0.397993 + 0.917388i \(0.630293\pi\)
\(384\) −4.91784 8.10444i −0.250962 0.413578i
\(385\) 14.1644 + 7.04187i 0.721887 + 0.358887i
\(386\) −9.19495 + 13.5772i −0.468011 + 0.691062i
\(387\) 7.74121 + 13.4082i 0.393508 + 0.681575i
\(388\) −1.07567 + 7.45138i −0.0546088 + 0.378287i
\(389\) 0.383453 + 0.221387i 0.0194418 + 0.0112248i 0.509689 0.860358i \(-0.329760\pi\)
−0.490248 + 0.871583i \(0.663094\pi\)
\(390\) 0.244042 3.39859i 0.0123576 0.172094i
\(391\) 16.1046 0.814445
\(392\) −8.30779 17.9717i −0.419607 0.907706i
\(393\) 7.50895 0.378776
\(394\) −1.33195 + 18.5490i −0.0671026 + 0.934486i
\(395\) −11.9852 6.91965i −0.603041 0.348166i
\(396\) −27.1954 3.92589i −1.36662 0.197283i
\(397\) 4.05153 + 7.01745i 0.203340 + 0.352196i 0.949603 0.313456i \(-0.101487\pi\)
−0.746262 + 0.665652i \(0.768154\pi\)
\(398\) 15.9685 23.5791i 0.800431 1.18191i
\(399\) 9.29634 + 4.62169i 0.465399 + 0.231374i
\(400\) −2.89807 + 2.75702i −0.144904 + 0.137851i
\(401\) −1.01905 1.76504i −0.0508889 0.0881421i 0.839459 0.543423i \(-0.182872\pi\)
−0.890348 + 0.455281i \(0.849539\pi\)
\(402\) 6.04991 2.93674i 0.301742 0.146471i
\(403\) −12.5017 + 21.6536i −0.622755 + 1.07864i
\(404\) −20.1442 + 25.5855i −1.00221 + 1.27293i
\(405\) 3.17414 0.157724
\(406\) 2.49145 4.22265i 0.123649 0.209566i
\(407\) 22.5674i 1.11862i
\(408\) −1.72579 5.41465i −0.0854394 0.268065i
\(409\) −27.1993 15.7035i −1.34492 0.776490i −0.357395 0.933953i \(-0.616335\pi\)
−0.987525 + 0.157463i \(0.949668\pi\)
\(410\) −2.28245 + 1.10795i −0.112722 + 0.0547175i
\(411\) 15.1439 8.74335i 0.746995 0.431278i
\(412\) 1.68020 + 4.20386i 0.0827776 + 0.207109i
\(413\) −4.41473 6.65334i −0.217235 0.327390i
\(414\) 18.0711 + 12.2384i 0.888145 + 0.601482i
\(415\) −15.0875 + 8.71077i −0.740616 + 0.427595i
\(416\) 15.2323 + 5.70601i 0.746825 + 0.279760i
\(417\) −5.37051 + 9.30199i −0.262995 + 0.455521i
\(418\) 2.83599 39.4946i 0.138713 1.93175i
\(419\) 18.1384i 0.886117i −0.896493 0.443059i \(-0.853893\pi\)
0.896493 0.443059i \(-0.146107\pi\)
\(420\) −2.52080 + 3.64747i −0.123002 + 0.177978i
\(421\) 38.6453i 1.88345i 0.336377 + 0.941727i \(0.390798\pi\)
−0.336377 + 0.941727i \(0.609202\pi\)
\(422\) −6.08368 0.436851i −0.296149 0.0212656i
\(423\) 2.00975 3.48099i 0.0977175 0.169252i
\(424\) 0.240139 + 0.218675i 0.0116622 + 0.0106198i
\(425\) −2.07668 + 1.19897i −0.100734 + 0.0581588i
\(426\) −2.03815 + 3.00952i −0.0987486 + 0.145812i
\(427\) −1.44840 23.2439i −0.0700928 1.12485i
\(428\) 1.79771 + 4.49786i 0.0868954 + 0.217412i
\(429\) −12.4750 + 7.20247i −0.602301 + 0.347739i
\(430\) −4.16095 8.57187i −0.200659 0.413372i
\(431\) 3.59352 + 2.07472i 0.173094 + 0.0999358i 0.584044 0.811722i \(-0.301470\pi\)
−0.410950 + 0.911658i \(0.634803\pi\)
\(432\) 5.02198 17.0317i 0.241620 0.819436i
\(433\) 21.7089i 1.04326i 0.853170 + 0.521632i \(0.174677\pi\)
−0.853170 + 0.521632i \(0.825323\pi\)
\(434\) 28.3291 16.0008i 1.35984 0.768061i
\(435\) −1.09795 −0.0526425
\(436\) −11.5237 9.07295i −0.551886 0.434515i
\(437\) −15.7257 + 27.2376i −0.752260 + 1.30295i
\(438\) −5.19443 10.7009i −0.248199 0.511310i
\(439\) −3.86516 6.69465i −0.184474 0.319518i 0.758925 0.651178i \(-0.225725\pi\)
−0.943399 + 0.331660i \(0.892391\pi\)
\(440\) 16.5210 + 3.60867i 0.787606 + 0.172036i
\(441\) 6.25111 14.8210i 0.297672 0.705764i
\(442\) 8.07392 + 5.46793i 0.384037 + 0.260083i
\(443\) −8.93181 15.4704i −0.424363 0.735019i 0.571998 0.820255i \(-0.306169\pi\)
−0.996361 + 0.0852368i \(0.972835\pi\)
\(444\) −6.26060 0.903770i −0.297115 0.0428910i
\(445\) 11.0658 + 6.38886i 0.524570 + 0.302861i
\(446\) 16.3555 + 1.17444i 0.774453 + 0.0556111i
\(447\) −0.673676 −0.0318638
\(448\) −13.2980 16.4671i −0.628269 0.777996i
\(449\) 29.3236 1.38387 0.691933 0.721961i \(-0.256759\pi\)
0.691933 + 0.721961i \(0.256759\pi\)
\(450\) −3.24139 0.232755i −0.152801 0.0109722i
\(451\) 9.28909 + 5.36306i 0.437406 + 0.252537i
\(452\) 29.8231 + 4.30521i 1.40276 + 0.202500i
\(453\) 5.48613 + 9.50226i 0.257761 + 0.446455i
\(454\) −22.6046 15.3086i −1.06089 0.718469i
\(455\) −0.473142 7.59298i −0.0221812 0.355964i
\(456\) 10.8430 + 2.36842i 0.507768 + 0.110912i
\(457\) −4.64207 8.04029i −0.217147 0.376109i 0.736788 0.676124i \(-0.236342\pi\)
−0.953935 + 0.300015i \(0.903008\pi\)
\(458\) 10.5497 + 21.7333i 0.492957 + 1.01553i
\(459\) 5.32243 9.21872i 0.248430 0.430293i
\(460\) −10.5535 8.30911i −0.492061 0.387414i
\(461\) 0.401756 0.0187116 0.00935582 0.999956i \(-0.497022\pi\)
0.00935582 + 0.999956i \(0.497022\pi\)
\(462\) 18.7435 + 0.177157i 0.872028 + 0.00824207i
\(463\) 9.04694i 0.420447i −0.977653 0.210223i \(-0.932581\pi\)
0.977653 0.210223i \(-0.0674191\pi\)
\(464\) 1.48238 5.02739i 0.0688179 0.233391i
\(465\) −6.30988 3.64301i −0.292614 0.168940i
\(466\) 7.55501 + 15.5639i 0.349979 + 0.720984i
\(467\) −10.4257 + 6.01931i −0.482446 + 0.278540i −0.721435 0.692482i \(-0.756517\pi\)
0.238989 + 0.971022i \(0.423184\pi\)
\(468\) 4.90456 + 12.2712i 0.226713 + 0.567237i
\(469\) 12.5115 8.30181i 0.577727 0.383342i
\(470\) −1.38713 + 2.04823i −0.0639836 + 0.0944778i
\(471\) 12.4592 7.19333i 0.574091 0.331451i
\(472\) −6.31140 5.74727i −0.290506 0.264540i
\(473\) −20.1413 + 34.8857i −0.926096 + 1.60405i
\(474\) −16.3572 1.17456i −0.751310 0.0539493i
\(475\) 4.68305i 0.214873i
\(476\) −5.43290 11.4668i −0.249017 0.525580i
\(477\) 0.263867i 0.0120816i
\(478\) −0.158709 + 2.21022i −0.00725919 + 0.101093i
\(479\) −1.59624 + 2.76477i −0.0729340 + 0.126325i −0.900186 0.435506i \(-0.856570\pi\)
0.827252 + 0.561831i \(0.189903\pi\)
\(480\) −1.66274 + 4.43870i −0.0758932 + 0.202598i
\(481\) 9.39950 5.42680i 0.428580 0.247441i
\(482\) −25.8018 17.4739i −1.17524 0.795913i
\(483\) −13.3320 6.62800i −0.606625 0.301585i
\(484\) −18.3679 45.9565i −0.834905 2.08893i
\(485\) 3.25999 1.88216i 0.148028 0.0854643i
\(486\) 20.3268 9.86700i 0.922041 0.447576i
\(487\) 3.30907 + 1.91049i 0.149948 + 0.0865727i 0.573097 0.819488i \(-0.305742\pi\)
−0.423149 + 0.906060i \(0.639075\pi\)
\(488\) −7.56057 23.7212i −0.342251 1.07381i
\(489\) 4.91781i 0.222391i
\(490\) −4.49056 + 8.82241i −0.202863 + 0.398556i
\(491\) −42.7678 −1.93008 −0.965041 0.262097i \(-0.915586\pi\)
−0.965041 + 0.262097i \(0.915586\pi\)
\(492\) −1.85982 + 2.36219i −0.0838471 + 0.106496i
\(493\) 1.57107 2.72117i 0.0707574 0.122555i
\(494\) −17.1318 + 8.31611i −0.770797 + 0.374160i
\(495\) 6.86934 + 11.8980i 0.308754 + 0.534777i
\(496\) 25.2002 23.9737i 1.13152 1.07645i
\(497\) −3.61275 + 7.26690i −0.162054 + 0.325965i
\(498\) −11.5761 + 17.0931i −0.518735 + 0.765962i
\(499\) −3.71383 6.43253i −0.166254 0.287960i 0.770846 0.637021i \(-0.219834\pi\)
−0.937100 + 0.349062i \(0.886500\pi\)
\(500\) 1.97948 + 0.285754i 0.0885251 + 0.0127793i
\(501\) 4.37029 + 2.52319i 0.195250 + 0.112728i
\(502\) −0.778464 + 10.8411i −0.0347445 + 0.483860i
\(503\) −41.0916 −1.83219 −0.916093 0.400966i \(-0.868674\pi\)
−0.916093 + 0.400966i \(0.868674\pi\)
\(504\) 2.61766 16.9956i 0.116600 0.757044i
\(505\) 16.2819 0.724537
\(506\) −4.06712 + 56.6396i −0.180805 + 2.51794i
\(507\) −3.43364 1.98241i −0.152493 0.0880421i
\(508\) −1.49288 + 10.3415i −0.0662358 + 0.458829i
\(509\) 17.7683 + 30.7755i 0.787564 + 1.36410i 0.927455 + 0.373934i \(0.121991\pi\)
−0.139891 + 0.990167i \(0.544675\pi\)
\(510\) −1.59336 + 2.35275i −0.0705551 + 0.104181i
\(511\) −14.6840 22.1300i −0.649582 0.978972i
\(512\) −18.0794 13.6064i −0.799006 0.601323i
\(513\) 10.3944 + 18.0036i 0.458923 + 0.794878i
\(514\) −2.84686 + 1.38192i −0.125569 + 0.0609538i
\(515\) 1.13180 1.96034i 0.0498731 0.0863827i
\(516\) −8.87132 6.98465i −0.390538 0.307482i
\(517\) 10.4580 0.459944
\(518\) −14.1226 0.133481i −0.620510 0.00586482i
\(519\) 1.81269i 0.0795683i
\(520\) −2.46978 7.74891i −0.108307 0.339812i
\(521\) −31.1264 17.9708i −1.36367 0.787316i −0.373561 0.927606i \(-0.621863\pi\)
−0.990111 + 0.140289i \(0.955197\pi\)
\(522\) 3.83080 1.85954i 0.167670 0.0813901i
\(523\) −26.6453 + 15.3837i −1.16512 + 0.672681i −0.952525 0.304460i \(-0.901524\pi\)
−0.212592 + 0.977141i \(0.568191\pi\)
\(524\) 16.6430 6.65189i 0.727054 0.290589i
\(525\) 2.21260 0.137874i 0.0965658 0.00601731i
\(526\) −20.3308 13.7687i −0.886466 0.600345i
\(527\) 18.0578 10.4257i 0.786610 0.454150i
\(528\) 19.4791 4.70214i 0.847718 0.204634i
\(529\) 11.0523 19.1432i 0.480536 0.832312i
\(530\) 0.0116310 0.161976i 0.000505217 0.00703577i
\(531\) 6.93502i 0.300954i
\(532\) 24.6988 + 2.00835i 1.07083 + 0.0870732i
\(533\) 5.15865i 0.223446i
\(534\) 15.1024 + 1.08446i 0.653546 + 0.0469292i
\(535\) 1.21095 2.09743i 0.0523540 0.0906798i
\(536\) 10.8076 11.8685i 0.466819 0.512640i
\(537\) 8.17803 4.72159i 0.352908 0.203752i
\(538\) 0.593927 0.876990i 0.0256060 0.0378097i
\(539\) 41.5276 5.19560i 1.78872 0.223790i
\(540\) −8.24421 + 3.29505i −0.354774 + 0.141796i
\(541\) 6.51224 3.75984i 0.279983 0.161648i −0.353433 0.935460i \(-0.614986\pi\)
0.633416 + 0.773812i \(0.281652\pi\)
\(542\) 13.4102 + 27.6260i 0.576016 + 1.18664i
\(543\) 11.0566 + 6.38354i 0.474484 + 0.273944i
\(544\) −8.62173 10.4724i −0.369654 0.448999i
\(545\) 7.33339i 0.314128i
\(546\) −4.43350 7.84944i −0.189736 0.335925i
\(547\) 10.8177 0.462531 0.231265 0.972891i \(-0.425713\pi\)
0.231265 + 0.972891i \(0.425713\pi\)
\(548\) 25.8200 32.7944i 1.10298 1.40091i
\(549\) 10.1136 17.5172i 0.431637 0.747617i
\(550\) −3.69231 7.60645i −0.157441 0.324340i
\(551\) 3.06820 + 5.31428i 0.130710 + 0.226396i
\(552\) −15.5500 3.39658i −0.661852 0.144568i
\(553\) −36.5445 + 2.27720i −1.55403 + 0.0968364i
\(554\) −27.6555 18.7292i −1.17497 0.795729i
\(555\) 1.58137 + 2.73902i 0.0671256 + 0.116265i
\(556\) −3.66305 + 25.3747i −0.155348 + 1.07613i
\(557\) −20.6521 11.9235i −0.875057 0.505214i −0.00603158 0.999982i \(-0.501920\pi\)
−0.869025 + 0.494767i \(0.835253\pi\)
\(558\) 28.1856 + 2.02392i 1.19319 + 0.0856793i
\(559\) 19.3736 0.819415
\(560\) −2.35601 + 10.3174i −0.0995596 + 0.435991i
\(561\) 12.0129 0.507183
\(562\) 20.3306 + 1.45988i 0.857595 + 0.0615813i
\(563\) −1.24064 0.716284i −0.0522868 0.0301878i 0.473629 0.880725i \(-0.342944\pi\)
−0.525916 + 0.850537i \(0.676277\pi\)
\(564\) −0.418820 + 2.90125i −0.0176355 + 0.122165i
\(565\) −7.53306 13.0476i −0.316918 0.548919i
\(566\) −14.5881 9.87955i −0.613183 0.415269i
\(567\) 6.99765 4.64319i 0.293874 0.194995i
\(568\) −1.85138 + 8.47589i −0.0776824 + 0.355641i
\(569\) 13.6099 + 23.5731i 0.570558 + 0.988235i 0.996509 + 0.0834885i \(0.0266062\pi\)
−0.425951 + 0.904746i \(0.640060\pi\)
\(570\) −2.42332 4.99223i −0.101502 0.209101i
\(571\) −6.19271 + 10.7261i −0.259157 + 0.448873i −0.966016 0.258481i \(-0.916778\pi\)
0.706859 + 0.707354i \(0.250111\pi\)
\(572\) −21.2696 + 27.0149i −0.889328 + 1.12955i
\(573\) −5.16316 −0.215694
\(574\) −3.41113 + 5.78136i −0.142378 + 0.241309i
\(575\) 6.71600i 0.280076i
\(576\) −1.71625 18.3030i −0.0715103 0.762626i
\(577\) 20.3920 + 11.7733i 0.848929 + 0.490130i 0.860289 0.509806i \(-0.170283\pi\)
−0.0113602 + 0.999935i \(0.503616\pi\)
\(578\) 6.94759 + 14.3126i 0.288982 + 0.595324i
\(579\) 8.41389 4.85776i 0.349669 0.201882i
\(580\) −2.43352 + 0.972630i −0.101046 + 0.0403863i
\(581\) −20.5193 + 41.2738i −0.851285 + 1.71233i
\(582\) 2.50126 3.69335i 0.103681 0.153094i
\(583\) −0.594557 + 0.343267i −0.0246240 + 0.0142167i
\(584\) −20.9926 19.1163i −0.868681 0.791036i
\(585\) 3.30376 5.72228i 0.136594 0.236587i
\(586\) 11.9526 + 0.858282i 0.493759 + 0.0354553i
\(587\) 28.0077i 1.15600i 0.816036 + 0.578001i \(0.196167\pi\)
−0.816036 + 0.578001i \(0.803833\pi\)
\(588\) −0.221728 + 11.7286i −0.00914391 + 0.483679i
\(589\) 40.7214i 1.67790i
\(590\) −0.305688 + 4.25709i −0.0125850 + 0.175261i
\(591\) 5.50920 9.54221i 0.226618 0.392514i
\(592\) −14.6768 + 3.54289i −0.603212 + 0.145612i
\(593\) −28.9741 + 16.7282i −1.18982 + 0.686945i −0.958266 0.285877i \(-0.907715\pi\)
−0.231557 + 0.972821i \(0.574382\pi\)
\(594\) 31.0779 + 21.0470i 1.27514 + 0.863569i
\(595\) −2.82434 + 5.68104i −0.115786 + 0.232900i
\(596\) −1.49315 + 0.596785i −0.0611620 + 0.0244452i
\(597\) −14.6121 + 8.43630i −0.598034 + 0.345275i
\(598\) 24.5689 11.9262i 1.00470 0.487699i
\(599\) 37.2436 + 21.5026i 1.52173 + 0.878571i 0.999671 + 0.0256625i \(0.00816953\pi\)
0.522060 + 0.852909i \(0.325164\pi\)
\(600\) 2.25804 0.719696i 0.0921840 0.0293815i
\(601\) 32.3145i 1.31813i 0.752084 + 0.659067i \(0.229049\pi\)
−0.752084 + 0.659067i \(0.770951\pi\)
\(602\) −21.7122 12.8107i −0.884924 0.522124i
\(603\) 13.0412 0.531078
\(604\) 20.5773 + 16.2011i 0.837279 + 0.659214i
\(605\) −12.3728 + 21.4303i −0.503026 + 0.871267i
\(606\) 17.3569 8.42536i 0.705076 0.342257i
\(607\) −6.75765 11.7046i −0.274285 0.475075i 0.695670 0.718362i \(-0.255108\pi\)
−0.969954 + 0.243287i \(0.921774\pi\)
\(608\) 26.1307 4.35594i 1.05974 0.176657i
\(609\) −2.42051 + 1.60609i −0.0980841 + 0.0650822i
\(610\) −6.98039 + 10.3072i −0.282628 + 0.417327i
\(611\) −2.51486 4.35586i −0.101740 0.176219i
\(612\) 1.57459 10.9075i 0.0636488 0.440909i
\(613\) −5.63444 3.25304i −0.227573 0.131389i 0.381879 0.924212i \(-0.375277\pi\)
−0.609452 + 0.792823i \(0.708610\pi\)
\(614\) −1.20960 + 16.8451i −0.0488154 + 0.679815i
\(615\) 1.50323 0.0606162
\(616\) 41.7006 16.2115i 1.68017 0.653182i
\(617\) −1.66184 −0.0669033 −0.0334516 0.999440i \(-0.510650\pi\)
−0.0334516 + 0.999440i \(0.510650\pi\)
\(618\) 0.192114 2.67543i 0.00772798 0.107622i
\(619\) −24.5080 14.1497i −0.985061 0.568725i −0.0812670 0.996692i \(-0.525897\pi\)
−0.903794 + 0.427967i \(0.859230\pi\)
\(620\) −17.2126 2.48478i −0.691274 0.0997911i
\(621\) −14.9067 25.8191i −0.598184 1.03609i
\(622\) −12.2884 + 18.1449i −0.492719 + 0.727546i
\(623\) 33.7412 2.10252i 1.35181 0.0842356i
\(624\) −6.64264 6.98247i −0.265919 0.279523i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −21.9935 + 10.6761i −0.879039 + 0.426702i
\(627\) −11.7302 + 20.3173i −0.468459 + 0.811395i
\(628\) 21.2426 26.9807i 0.847674 1.07665i
\(629\) −9.05126 −0.360897
\(630\) −7.48639 + 4.22844i −0.298265 + 0.168465i
\(631\) 48.7721i 1.94159i 0.239918 + 0.970793i \(0.422879\pi\)
−0.239918 + 0.970793i \(0.577121\pi\)
\(632\) −37.2950 + 11.8869i −1.48351 + 0.472835i
\(633\) 3.12964 + 1.80690i 0.124392 + 0.0718178i
\(634\) 10.5880 5.13961i 0.420503 0.204120i
\(635\) 4.52441 2.61217i 0.179546 0.103661i
\(636\) −0.0714181 0.178688i −0.00283191 0.00708544i
\(637\) −12.1502 16.0472i −0.481409 0.635814i
\(638\) 9.17355 + 6.21264i 0.363184 + 0.245961i
\(639\) −6.10415 + 3.52424i −0.241477 + 0.139417i
\(640\) 0.246747 + 11.3110i 0.00975353 + 0.447107i
\(641\) −10.8633 + 18.8158i −0.429074 + 0.743178i −0.996791 0.0800459i \(-0.974493\pi\)
0.567717 + 0.823224i \(0.307827\pi\)
\(642\) 0.205550 2.86253i 0.00811241 0.112975i
\(643\) 7.13929i 0.281546i 0.990042 + 0.140773i \(0.0449588\pi\)
−0.990042 + 0.140773i \(0.955041\pi\)
\(644\) −35.4208 2.88020i −1.39578 0.113496i
\(645\) 5.64548i 0.222290i
\(646\) 15.8404 + 1.13745i 0.623232 + 0.0447524i
\(647\) −4.58700 + 7.94492i −0.180334 + 0.312347i −0.941994 0.335629i \(-0.891051\pi\)
0.761661 + 0.647976i \(0.224384\pi\)
\(648\) 6.04469 6.63801i 0.237458 0.260766i
\(649\) 15.6263 9.02185i 0.613386 0.354139i
\(650\) −2.28026 + 3.36701i −0.0894390 + 0.132065i
\(651\) −19.2397 + 1.19888i −0.754062 + 0.0469879i
\(652\) −4.35650 10.9000i −0.170614 0.426875i
\(653\) 0.710174 0.410019i 0.0277913 0.0160453i −0.486040 0.873937i \(-0.661559\pi\)
0.513831 + 0.857891i \(0.328226\pi\)
\(654\) 3.79479 + 7.81755i 0.148388 + 0.305690i
\(655\) −7.76094 4.48078i −0.303245 0.175079i
\(656\) −2.02958 + 6.88316i −0.0792416 + 0.268742i
\(657\) 23.0669i 0.899924i
\(658\) −0.0618571 + 6.54460i −0.00241144 + 0.255135i
\(659\) −10.4133 −0.405645 −0.202823 0.979216i \(-0.565011\pi\)
−0.202823 + 0.979216i \(0.565011\pi\)
\(660\) −7.87217 6.19799i −0.306424 0.241256i
\(661\) 2.76908 4.79619i 0.107705 0.186550i −0.807135 0.590367i \(-0.798983\pi\)
0.914840 + 0.403816i \(0.132317\pi\)
\(662\) −15.6166 32.1714i −0.606957 1.25038i
\(663\) −2.88875 5.00346i −0.112190 0.194318i
\(664\) −10.5153 + 48.1405i −0.408073 + 1.86821i
\(665\) −6.85043 10.3241i −0.265648 0.400353i
\(666\) −10.1565 6.87831i −0.393555 0.266529i
\(667\) −4.40014 7.62126i −0.170374 0.295097i
\(668\) 11.9216 + 1.72099i 0.461262 + 0.0665869i
\(669\) −8.41377 4.85769i −0.325295 0.187809i
\(670\) −8.00537 0.574841i −0.309274 0.0222081i
\(671\) 52.6275 2.03166
\(672\) 2.82737 + 12.2178i 0.109068 + 0.471310i
\(673\) 28.9492 1.11591 0.557956 0.829871i \(-0.311586\pi\)
0.557956 + 0.829871i \(0.311586\pi\)
\(674\) 0.534679 + 0.0383937i 0.0205951 + 0.00147887i
\(675\) 3.84442 + 2.21958i 0.147972 + 0.0854316i
\(676\) −9.36656 1.35214i −0.360252 0.0520054i
\(677\) 2.77831 + 4.81218i 0.106779 + 0.184947i 0.914464 0.404668i \(-0.132613\pi\)
−0.807685 + 0.589615i \(0.799280\pi\)
\(678\) −14.7821 10.0110i −0.567705 0.384469i
\(679\) 4.43366 8.91812i 0.170148 0.342246i
\(680\) −1.44735 + 6.62619i −0.0555035 + 0.254103i
\(681\) 8.08766 + 14.0082i 0.309920 + 0.536797i
\(682\) 32.1065 + 66.1419i 1.22942 + 2.53270i
\(683\) −17.5473 + 30.3928i −0.671428 + 1.16295i 0.306071 + 0.952009i \(0.400986\pi\)
−0.977499 + 0.210939i \(0.932348\pi\)
\(684\) 16.9102 + 13.3139i 0.646579 + 0.509070i
\(685\) −20.8695 −0.797383
\(686\) 3.00576 + 26.0186i 0.114760 + 0.993393i
\(687\) 14.3136i 0.546099i
\(688\) −25.8501 7.62218i −0.985525 0.290593i
\(689\) 0.285948 + 0.165092i 0.0108937 + 0.00628950i
\(690\) 3.47531 + 7.15940i 0.132303 + 0.272554i
\(691\) 6.28794 3.63035i 0.239205 0.138105i −0.375606 0.926779i \(-0.622566\pi\)
0.614811 + 0.788674i \(0.289232\pi\)
\(692\) 1.60579 + 4.01769i 0.0610431 + 0.152730i
\(693\) 32.5486 + 16.1816i 1.23642 + 0.614688i
\(694\) −7.76838 + 11.4707i −0.294884 + 0.435424i
\(695\) 11.1015 6.40944i 0.421103 0.243124i
\(696\) −2.09088 + 2.29611i −0.0792546 + 0.0870338i
\(697\) −2.15100 + 3.72564i −0.0814750 + 0.141119i
\(698\) −9.50598 0.682595i −0.359807 0.0258366i
\(699\) 10.2505i 0.387708i
\(700\) 4.78193 2.26565i 0.180740 0.0856334i
\(701\) 2.84288i 0.107374i 0.998558 + 0.0536870i \(0.0170973\pi\)
−0.998558 + 0.0536870i \(0.982903\pi\)
\(702\) 1.29291 18.0054i 0.0487979 0.679571i
\(703\) 8.83828 15.3083i 0.333342 0.577365i
\(704\) 39.0085 27.6777i 1.47019 1.04314i
\(705\) 1.26930 0.732832i 0.0478047 0.0276000i
\(706\) −25.1392 17.0251i −0.946125 0.640748i
\(707\) 35.8948 23.8175i 1.34996 0.895748i
\(708\) 1.87703 + 4.69633i 0.0705432 + 0.176499i
\(709\) 14.8464 8.57155i 0.557567 0.321911i −0.194601 0.980882i \(-0.562341\pi\)
0.752168 + 0.658971i \(0.229008\pi\)
\(710\) 3.90240 1.89430i 0.146454 0.0710918i
\(711\) −27.5409 15.9008i −1.03287 0.596325i
\(712\) 34.4341 10.9751i 1.29047 0.411307i
\(713\) 58.3990i 2.18706i
\(714\) −0.0710535 + 7.51761i −0.00265911 + 0.281339i
\(715\) 17.1916 0.642929
\(716\) 13.9433 17.7097i 0.521087 0.661841i
\(717\) 0.656451 1.13701i 0.0245156 0.0424623i
\(718\) −6.10911 + 2.96548i −0.227990 + 0.110671i
\(719\) −11.0395 19.1210i −0.411705 0.713094i 0.583371 0.812206i \(-0.301733\pi\)
−0.995076 + 0.0991116i \(0.968400\pi\)
\(720\) −6.65951 + 6.33540i −0.248185 + 0.236107i
\(721\) −0.372466 5.97733i −0.0138713 0.222607i
\(722\) −2.32425 + 3.43197i −0.0864995 + 0.127725i
\(723\) 9.23158 + 15.9896i 0.343326 + 0.594658i
\(724\) 30.1611 + 4.35400i 1.12093 + 0.161815i
\(725\) 1.13479 + 0.655173i 0.0421451 + 0.0243325i
\(726\) −2.10019 + 29.2477i −0.0779453 + 1.08548i
\(727\) −52.6712 −1.95347 −0.976733 0.214459i \(-0.931201\pi\)
−0.976733 + 0.214459i \(0.931201\pi\)
\(728\) −16.7800 13.4703i −0.621910 0.499241i
\(729\) −3.86488 −0.143144
\(730\) −1.01676 + 14.1597i −0.0376321 + 0.524073i
\(731\) −13.9919 8.07820i −0.517507 0.298783i
\(732\) −2.10761 + 14.5998i −0.0778994 + 0.539625i
\(733\) 0.876721 + 1.51853i 0.0323824 + 0.0560880i 0.881762 0.471694i \(-0.156357\pi\)
−0.849380 + 0.527782i \(0.823024\pi\)
\(734\) −9.22215 + 13.6174i −0.340396 + 0.502627i
\(735\) 4.67617 3.54058i 0.172483 0.130596i
\(736\) −37.4743 + 6.24689i −1.38132 + 0.230264i
\(737\) 16.9654 + 29.3850i 0.624929 + 1.08241i
\(738\) −5.24488 + 2.54596i −0.193067 + 0.0937181i
\(739\) 9.69575 16.7935i 0.356664 0.617760i −0.630737 0.775996i \(-0.717248\pi\)
0.987401 + 0.158237i \(0.0505808\pi\)
\(740\) 5.93140 + 4.66996i 0.218042 + 0.171671i
\(741\) 11.2831 0.414495
\(742\) −0.211299 0.374102i −0.00775703 0.0137337i
\(743\) 44.8603i 1.64576i −0.568213 0.822882i \(-0.692365\pi\)
0.568213 0.822882i \(-0.307635\pi\)
\(744\) −19.6348 + 6.25812i −0.719846 + 0.229434i
\(745\) 0.696284 + 0.402000i 0.0255099 + 0.0147281i
\(746\) 37.0618 17.9905i 1.35693 0.658679i
\(747\) −34.6697 + 20.0166i −1.26850 + 0.732368i
\(748\) 26.6256 10.6417i 0.973529 0.389101i
\(749\) −0.398514 6.39535i −0.0145614 0.233681i
\(750\) −0.981150 0.664468i −0.0358265 0.0242629i
\(751\) −40.9012 + 23.6143i −1.49250 + 0.861698i −0.999963 0.00859066i \(-0.997265\pi\)
−0.492542 + 0.870289i \(0.663932\pi\)
\(752\) 1.64183 + 6.80143i 0.0598713 + 0.248023i
\(753\) 3.21988 5.57699i 0.117339 0.203237i
\(754\) 0.381641 5.31482i 0.0138986 0.193554i
\(755\) 13.0949i 0.476571i
\(756\) −13.3550 + 19.3240i −0.485716 + 0.702806i
\(757\) 1.52456i 0.0554110i 0.999616 + 0.0277055i \(0.00882007\pi\)
−0.999616 + 0.0277055i \(0.991180\pi\)
\(758\) −3.56029 0.255654i −0.129316 0.00928577i
\(759\) 16.8224 29.1372i 0.610614 1.05761i
\(760\) −9.79354 8.91818i −0.355249 0.323496i
\(761\) −28.6395 + 16.5350i −1.03818 + 0.599394i −0.919317 0.393517i \(-0.871258\pi\)
−0.118863 + 0.992911i \(0.537925\pi\)
\(762\) 3.47141 5.12586i 0.125756 0.185690i
\(763\) 10.7274 + 16.1670i 0.388358 + 0.585286i
\(764\) −11.4438 + 4.57385i −0.414021 + 0.165476i
\(765\) −4.77204 + 2.75514i −0.172533 + 0.0996122i
\(766\) −14.3942 29.6531i −0.520083 1.07141i
\(767\) −7.51536 4.33899i −0.271364 0.156672i
\(768\) 6.11612 + 11.9301i 0.220696 + 0.430491i
\(769\) 1.31233i 0.0473238i −0.999720 0.0236619i \(-0.992467\pi\)
0.999720 0.0236619i \(-0.00753252\pi\)
\(770\) −19.2668 11.3678i −0.694328 0.409669i
\(771\) 1.87495 0.0675248
\(772\) 14.3455 18.2204i 0.516304 0.655767i
\(773\) −8.51479 + 14.7480i −0.306256 + 0.530450i −0.977540 0.210749i \(-0.932410\pi\)
0.671284 + 0.741200i \(0.265743\pi\)