Properties

Label 441.2.bn.a.5.3
Level $441$
Weight $2$
Character 441.5
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bn (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 5.3
Character \(\chi\) \(=\) 441.5
Dual form 441.2.bn.a.353.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.01930 + 1.61034i) q^{2} +(0.161619 + 1.72449i) q^{3} +(1.03935 - 4.55368i) q^{4} +(0.846045 + 0.576824i) q^{5} +(-3.10338 - 3.22201i) q^{6} +(-1.90950 - 1.83134i) q^{7} +(2.99296 + 6.21494i) q^{8} +(-2.94776 + 0.557422i) q^{9} +O(q^{10})\) \(q+(-2.01930 + 1.61034i) q^{2} +(0.161619 + 1.72449i) q^{3} +(1.03935 - 4.55368i) q^{4} +(0.846045 + 0.576824i) q^{5} +(-3.10338 - 3.22201i) q^{6} +(-1.90950 - 1.83134i) q^{7} +(2.99296 + 6.21494i) q^{8} +(-2.94776 + 0.557422i) q^{9} +(-2.63730 + 0.197639i) q^{10} +(-0.313064 - 2.07704i) q^{11} +(8.02077 + 1.05639i) q^{12} +(-0.369197 - 2.44946i) q^{13} +(6.80494 + 0.623082i) q^{14} +(-0.857992 + 1.55222i) q^{15} +(-7.63539 - 3.67701i) q^{16} +(2.20085 - 2.04209i) q^{17} +(5.05478 - 5.87250i) q^{18} +(-4.42780 - 2.55639i) q^{19} +(3.50600 - 3.25309i) q^{20} +(2.84952 - 3.58890i) q^{21} +(3.97692 + 3.69004i) q^{22} +(-0.423980 - 1.37451i) q^{23} +(-10.2339 + 6.16579i) q^{24} +(-1.44364 - 3.67833i) q^{25} +(4.68999 + 4.35168i) q^{26} +(-1.43768 - 4.99330i) q^{27} +(-10.3240 + 6.79185i) q^{28} +(-3.00560 - 3.23927i) q^{29} +(-0.767065 - 4.51607i) q^{30} -6.92810i q^{31} +(7.88919 - 1.80066i) q^{32} +(3.53125 - 0.875567i) q^{33} +(-1.15572 + 7.66772i) q^{34} +(-0.559164 - 2.65084i) q^{35} +(-0.525426 + 14.0025i) q^{36} +(8.66701 + 2.67342i) q^{37} +(13.0577 - 1.96814i) q^{38} +(4.16442 - 1.03256i) q^{39} +(-1.05275 + 6.98452i) q^{40} +(-0.864467 + 11.5355i) q^{41} +(0.0253062 + 11.8358i) q^{42} +(0.178340 + 2.37978i) q^{43} +(-9.78357 - 0.733177i) q^{44} +(-2.81547 - 1.22873i) q^{45} +(3.06957 + 2.09280i) q^{46} +(3.35857 + 4.21151i) q^{47} +(5.10696 - 13.7615i) q^{48} +(0.292392 + 6.99389i) q^{49} +(8.83851 + 5.10292i) q^{50} +(3.87727 + 3.46531i) q^{51} +(-11.5378 - 0.864638i) q^{52} +(-0.856421 - 2.77645i) q^{53} +(10.9440 + 7.76783i) q^{54} +(0.933222 - 1.93786i) q^{55} +(5.66661 - 17.3486i) q^{56} +(3.69286 - 8.04887i) q^{57} +(11.2855 + 1.70102i) q^{58} +(-13.6469 - 6.57202i) q^{59} +(6.17658 + 5.52032i) q^{60} +(-6.25986 + 1.42877i) q^{61} +(11.1566 + 13.9899i) q^{62} +(6.64958 + 4.33395i) q^{63} +(-2.46329 + 3.08887i) q^{64} +(1.10055 - 2.28532i) q^{65} +(-5.72071 + 7.45456i) q^{66} +8.80844 q^{67} +(-7.01158 - 12.1444i) q^{68} +(2.30181 - 0.953297i) q^{69} +(5.39788 + 4.45241i) q^{70} +(7.09352 + 1.61905i) q^{71} +(-12.2869 - 16.6518i) q^{72} +(0.706526 - 4.68749i) q^{73} +(-21.8064 + 8.55840i) q^{74} +(6.10994 - 3.08403i) q^{75} +(-16.2430 + 17.5058i) q^{76} +(-3.20598 + 4.53945i) q^{77} +(-6.74645 + 8.79118i) q^{78} -16.0740 q^{79} +(-4.33890 - 7.51519i) q^{80} +(8.37856 - 3.28629i) q^{81} +(-16.8305 - 24.6858i) q^{82} +(-0.258688 - 0.0389909i) q^{83} +(-13.3811 - 16.7059i) q^{84} +(3.03995 - 0.458198i) q^{85} +(-4.19238 - 4.51831i) q^{86} +(5.10033 - 5.70667i) q^{87} +(11.9717 - 8.16218i) q^{88} +(-2.86518 - 7.30037i) q^{89} +(7.66397 - 2.05268i) q^{90} +(-3.78082 + 5.35338i) q^{91} +(-6.69973 + 0.502075i) q^{92} +(11.9475 - 1.11971i) q^{93} +(-13.5639 - 3.09588i) q^{94} +(-2.27153 - 4.71688i) q^{95} +(4.38026 + 13.3138i) q^{96} +(0.105546 - 0.0609371i) q^{97} +(-11.8530 - 13.6519i) q^{98} +(2.08063 + 5.94812i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9} + O(q^{10}) \) \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9} - 22 q^{10} - 18 q^{11} - 72 q^{12} - 4 q^{13} + 66 q^{14} - 10 q^{15} - 105 q^{16} - 9 q^{17} - 27 q^{18} - 36 q^{19} - 27 q^{20} - 11 q^{21} - 9 q^{22} - 27 q^{23} - 8 q^{24} + 38 q^{25} + 6 q^{26} - 29 q^{27} - 26 q^{28} + 3 q^{29} - 16 q^{30} - 21 q^{32} - 11 q^{33} - 13 q^{34} + 28 q^{36} - 13 q^{37} - 90 q^{38} - 15 q^{39} - 31 q^{40} - 27 q^{41} - 4 q^{42} - 9 q^{43} + 51 q^{44} - 11 q^{45} - 108 q^{46} + 75 q^{47} - 15 q^{48} - 13 q^{49} - 45 q^{50} - 38 q^{51} + 64 q^{52} - 12 q^{53} - 41 q^{54} + 14 q^{55} + 3 q^{56} - 7 q^{57} - 90 q^{58} + 15 q^{59} - 69 q^{60} - 56 q^{61} + 66 q^{62} + 13 q^{63} + 64 q^{64} - 21 q^{65} - 204 q^{66} - 26 q^{67} + 3 q^{68} + 58 q^{69} - 22 q^{70} - 63 q^{71} - 18 q^{72} - 22 q^{73} - 12 q^{74} + 118 q^{75} - 63 q^{76} - 69 q^{77} - 147 q^{78} - 2 q^{79} - 45 q^{80} + 29 q^{81} - 28 q^{82} - 51 q^{83} - 31 q^{84} - 10 q^{85} - 72 q^{86} - 67 q^{87} + 4 q^{88} + 132 q^{89} + 58 q^{90} - 13 q^{91} - 15 q^{92} + 217 q^{93} - 7 q^{94} - 21 q^{95} - 44 q^{96} + 3 q^{97} + 21 q^{98} - 148 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{29}{42}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.01930 + 1.61034i −1.42786 + 1.13868i −0.459786 + 0.888030i \(0.652074\pi\)
−0.968077 + 0.250653i \(0.919355\pi\)
\(3\) 0.161619 + 1.72449i 0.0933107 + 0.995637i
\(4\) 1.03935 4.55368i 0.519673 2.27684i
\(5\) 0.846045 + 0.576824i 0.378363 + 0.257963i 0.737536 0.675307i \(-0.235989\pi\)
−0.359174 + 0.933271i \(0.616941\pi\)
\(6\) −3.10338 3.22201i −1.26695 1.31538i
\(7\) −1.90950 1.83134i −0.721724 0.692181i
\(8\) 2.99296 + 6.21494i 1.05817 + 2.19731i
\(9\) −2.94776 + 0.557422i −0.982586 + 0.185807i
\(10\) −2.63730 + 0.197639i −0.833989 + 0.0624988i
\(11\) −0.313064 2.07704i −0.0943924 0.626253i −0.985140 0.171754i \(-0.945057\pi\)
0.890747 0.454499i \(-0.150182\pi\)
\(12\) 8.02077 + 1.05639i 2.31540 + 0.304953i
\(13\) −0.369197 2.44946i −0.102397 0.679359i −0.979856 0.199707i \(-0.936001\pi\)
0.877459 0.479652i \(-0.159237\pi\)
\(14\) 6.80494 + 0.623082i 1.81870 + 0.166526i
\(15\) −0.857992 + 1.55222i −0.221533 + 0.400783i
\(16\) −7.63539 3.67701i −1.90885 0.919253i
\(17\) 2.20085 2.04209i 0.533785 0.495280i −0.366597 0.930380i \(-0.619477\pi\)
0.900382 + 0.435100i \(0.143287\pi\)
\(18\) 5.05478 5.87250i 1.19142 1.38416i
\(19\) −4.42780 2.55639i −1.01581 0.586476i −0.102920 0.994690i \(-0.532819\pi\)
−0.912887 + 0.408213i \(0.866152\pi\)
\(20\) 3.50600 3.25309i 0.783966 0.727414i
\(21\) 2.84952 3.58890i 0.621817 0.783163i
\(22\) 3.97692 + 3.69004i 0.847882 + 0.786720i
\(23\) −0.423980 1.37451i −0.0884059 0.286605i 0.900564 0.434724i \(-0.143154\pi\)
−0.988969 + 0.148120i \(0.952678\pi\)
\(24\) −10.2339 + 6.16579i −2.08899 + 1.25859i
\(25\) −1.44364 3.67833i −0.288728 0.735666i
\(26\) 4.68999 + 4.35168i 0.919783 + 0.853434i
\(27\) −1.43768 4.99330i −0.276682 0.960961i
\(28\) −10.3240 + 6.79185i −1.95105 + 1.28354i
\(29\) −3.00560 3.23927i −0.558126 0.601517i 0.389450 0.921048i \(-0.372665\pi\)
−0.947576 + 0.319531i \(0.896475\pi\)
\(30\) −0.767065 4.51607i −0.140046 0.824518i
\(31\) 6.92810i 1.24432i −0.782889 0.622162i \(-0.786255\pi\)
0.782889 0.622162i \(-0.213745\pi\)
\(32\) 7.88919 1.80066i 1.39463 0.318314i
\(33\) 3.53125 0.875567i 0.614712 0.152417i
\(34\) −1.15572 + 7.66772i −0.198205 + 1.31500i
\(35\) −0.559164 2.65084i −0.0945160 0.448074i
\(36\) −0.525426 + 14.0025i −0.0875711 + 2.33375i
\(37\) 8.66701 + 2.67342i 1.42485 + 0.439507i 0.908865 0.417091i \(-0.136950\pi\)
0.515983 + 0.856599i \(0.327427\pi\)
\(38\) 13.0577 1.96814i 2.11824 0.319274i
\(39\) 4.16442 1.03256i 0.666840 0.165342i
\(40\) −1.05275 + 6.98452i −0.166454 + 1.10435i
\(41\) −0.864467 + 11.5355i −0.135007 + 1.80154i 0.360312 + 0.932832i \(0.382670\pi\)
−0.495319 + 0.868711i \(0.664949\pi\)
\(42\) 0.0253062 + 11.8358i 0.00390484 + 1.82630i
\(43\) 0.178340 + 2.37978i 0.0271966 + 0.362913i 0.994154 + 0.107974i \(0.0344364\pi\)
−0.966957 + 0.254939i \(0.917945\pi\)
\(44\) −9.78357 0.733177i −1.47493 0.110531i
\(45\) −2.81547 1.22873i −0.419705 0.183169i
\(46\) 3.06957 + 2.09280i 0.452583 + 0.308566i
\(47\) 3.35857 + 4.21151i 0.489898 + 0.614312i 0.963917 0.266202i \(-0.0857688\pi\)
−0.474019 + 0.880514i \(0.657197\pi\)
\(48\) 5.10696 13.7615i 0.737126 1.98630i
\(49\) 0.292392 + 6.99389i 0.0417702 + 0.999127i
\(50\) 8.83851 + 5.10292i 1.24995 + 0.721661i
\(51\) 3.87727 + 3.46531i 0.542927 + 0.485241i
\(52\) −11.5378 0.864638i −1.60000 0.119904i
\(53\) −0.856421 2.77645i −0.117638 0.381375i 0.877534 0.479514i \(-0.159187\pi\)
−0.995173 + 0.0981395i \(0.968711\pi\)
\(54\) 10.9440 + 7.76783i 1.48929 + 1.05707i
\(55\) 0.933222 1.93786i 0.125836 0.261300i
\(56\) 5.66661 17.3486i 0.757232 2.31830i
\(57\) 3.69286 8.04887i 0.489132 1.06610i
\(58\) 11.2855 + 1.70102i 1.48186 + 0.223355i
\(59\) −13.6469 6.57202i −1.77668 0.855604i −0.960731 0.277481i \(-0.910501\pi\)
−0.815949 0.578123i \(-0.803785\pi\)
\(60\) 6.17658 + 5.52032i 0.797393 + 0.712670i
\(61\) −6.25986 + 1.42877i −0.801492 + 0.182935i −0.603599 0.797288i \(-0.706267\pi\)
−0.197894 + 0.980224i \(0.563410\pi\)
\(62\) 11.1566 + 13.9899i 1.41689 + 1.77672i
\(63\) 6.64958 + 4.33395i 0.837768 + 0.546026i
\(64\) −2.46329 + 3.08887i −0.307911 + 0.386108i
\(65\) 1.10055 2.28532i 0.136507 0.283459i
\(66\) −5.72071 + 7.45456i −0.704171 + 0.917593i
\(67\) 8.80844 1.07612 0.538061 0.842906i \(-0.319157\pi\)
0.538061 + 0.842906i \(0.319157\pi\)
\(68\) −7.01158 12.1444i −0.850278 1.47273i
\(69\) 2.30181 0.953297i 0.277105 0.114763i
\(70\) 5.39788 + 4.45241i 0.645170 + 0.532164i
\(71\) 7.09352 + 1.61905i 0.841846 + 0.192146i 0.621636 0.783307i \(-0.286468\pi\)
0.220210 + 0.975452i \(0.429326\pi\)
\(72\) −12.2869 16.6518i −1.44802 1.96243i
\(73\) 0.706526 4.68749i 0.0826926 0.548629i −0.908674 0.417507i \(-0.862904\pi\)
0.991366 0.131122i \(-0.0418580\pi\)
\(74\) −21.8064 + 8.55840i −2.53495 + 0.994893i
\(75\) 6.10994 3.08403i 0.705515 0.356114i
\(76\) −16.2430 + 17.5058i −1.86320 + 2.00805i
\(77\) −3.20598 + 4.53945i −0.365355 + 0.517318i
\(78\) −6.74645 + 8.79118i −0.763885 + 0.995405i
\(79\) −16.0740 −1.80846 −0.904232 0.427042i \(-0.859556\pi\)
−0.904232 + 0.427042i \(0.859556\pi\)
\(80\) −4.33890 7.51519i −0.485103 0.840224i
\(81\) 8.37856 3.28629i 0.930951 0.365143i
\(82\) −16.8305 24.6858i −1.85861 2.72609i
\(83\) −0.258688 0.0389909i −0.0283947 0.00427981i 0.134830 0.990869i \(-0.456951\pi\)
−0.163224 + 0.986589i \(0.552189\pi\)
\(84\) −13.3811 16.7059i −1.45999 1.82277i
\(85\) 3.03995 0.458198i 0.329728 0.0496986i
\(86\) −4.19238 4.51831i −0.452076 0.487222i
\(87\) 5.10033 5.70667i 0.546813 0.611819i
\(88\) 11.9717 8.16218i 1.27619 0.870091i
\(89\) −2.86518 7.30037i −0.303709 0.773838i −0.998507 0.0546325i \(-0.982601\pi\)
0.694798 0.719205i \(-0.255494\pi\)
\(90\) 7.66397 2.05268i 0.807853 0.216372i
\(91\) −3.78082 + 5.35338i −0.396337 + 0.561187i
\(92\) −6.69973 + 0.502075i −0.698495 + 0.0523449i
\(93\) 11.9475 1.11971i 1.23889 0.116109i
\(94\) −13.5639 3.09588i −1.39901 0.319316i
\(95\) −2.27153 4.71688i −0.233054 0.483942i
\(96\) 4.38026 + 13.3138i 0.447059 + 1.35884i
\(97\) 0.105546 0.0609371i 0.0107166 0.00618722i −0.494632 0.869102i \(-0.664697\pi\)
0.505349 + 0.862915i \(0.331364\pi\)
\(98\) −11.8530 13.6519i −1.19733 1.37905i
\(99\) 2.08063 + 5.94812i 0.209111 + 0.597808i
\(100\) −18.2504 + 2.75080i −1.82504 + 0.275080i
\(101\) −0.380253 + 5.07412i −0.0378366 + 0.504894i 0.945802 + 0.324743i \(0.105278\pi\)
−0.983639 + 0.180151i \(0.942341\pi\)
\(102\) −13.4097 0.753789i −1.32776 0.0746362i
\(103\) 7.31059 10.7227i 0.720334 1.05654i −0.275131 0.961407i \(-0.588721\pi\)
0.995465 0.0951290i \(-0.0303264\pi\)
\(104\) 14.1183 9.62567i 1.38441 0.943875i
\(105\) 4.48099 1.39270i 0.437300 0.135914i
\(106\) 6.20040 + 4.22736i 0.602236 + 0.410598i
\(107\) 0.390851 0.153398i 0.0377850 0.0148295i −0.346373 0.938097i \(-0.612587\pi\)
0.384158 + 0.923267i \(0.374492\pi\)
\(108\) −24.2321 + 1.35697i −2.33174 + 0.130575i
\(109\) 4.29435 10.9418i 0.411325 1.04804i −0.563708 0.825974i \(-0.690626\pi\)
0.975032 0.222063i \(-0.0712792\pi\)
\(110\) 1.23615 + 5.41592i 0.117862 + 0.516388i
\(111\) −3.20954 + 15.3783i −0.304636 + 1.45964i
\(112\) 7.84594 + 21.0043i 0.741371 + 1.98472i
\(113\) −14.7601 + 5.79290i −1.38851 + 0.544950i −0.937630 0.347634i \(-0.886985\pi\)
−0.450880 + 0.892584i \(0.648890\pi\)
\(114\) 5.50441 + 22.1999i 0.515536 + 2.07921i
\(115\) 0.434143 1.40746i 0.0404840 0.131246i
\(116\) −17.8744 + 10.3198i −1.65960 + 0.958170i
\(117\) 2.45369 + 7.01463i 0.226844 + 0.648503i
\(118\) 38.1405 8.70532i 3.51112 0.801390i
\(119\) −7.94229 0.131129i −0.728069 0.0120206i
\(120\) −12.2149 0.686626i −1.11506 0.0626801i
\(121\) 6.29519 1.94181i 0.572290 0.176528i
\(122\) 10.3397 12.9656i 0.936116 1.17385i
\(123\) −20.0326 + 0.373588i −1.80628 + 0.0336853i
\(124\) −31.5483 7.20070i −2.83312 0.646642i
\(125\) 2.03964 8.93625i 0.182431 0.799282i
\(126\) −20.4066 + 1.95653i −1.81797 + 0.174301i
\(127\) −4.71838 20.6726i −0.418689 1.83439i −0.539850 0.841762i \(-0.681519\pi\)
0.121161 0.992633i \(-0.461338\pi\)
\(128\) 5.98006i 0.528568i
\(129\) −4.07510 + 0.692164i −0.358792 + 0.0609416i
\(130\) 1.45779 + 6.38701i 0.127857 + 0.560178i
\(131\) 0.453324 + 6.04919i 0.0396071 + 0.528520i 0.981355 + 0.192202i \(0.0615628\pi\)
−0.941748 + 0.336319i \(0.890818\pi\)
\(132\) −0.316850 16.9902i −0.0275783 1.47881i
\(133\) 3.77327 + 12.9902i 0.327184 + 1.12640i
\(134\) −17.7869 + 14.1846i −1.53655 + 1.22536i
\(135\) 1.66391 5.05385i 0.143207 0.434966i
\(136\) 19.2785 + 7.56626i 1.65312 + 0.648802i
\(137\) −0.296230 0.434490i −0.0253087 0.0371210i 0.813376 0.581738i \(-0.197627\pi\)
−0.838685 + 0.544617i \(0.816675\pi\)
\(138\) −3.11292 + 5.63169i −0.264989 + 0.479401i
\(139\) 2.31360 + 0.173381i 0.196237 + 0.0147060i 0.172486 0.985012i \(-0.444820\pi\)
0.0237512 + 0.999718i \(0.492439\pi\)
\(140\) −12.6522 0.208891i −1.06931 0.0176545i
\(141\) −6.71992 + 6.47249i −0.565919 + 0.545082i
\(142\) −16.9312 + 8.15363i −1.42083 + 0.684238i
\(143\) −4.97206 + 1.53368i −0.415785 + 0.128253i
\(144\) 24.5569 + 6.58281i 2.04641 + 0.548567i
\(145\) −0.674387 4.47427i −0.0560048 0.371568i
\(146\) 6.12177 + 10.6032i 0.506641 + 0.877528i
\(147\) −12.0137 + 1.63457i −0.990870 + 0.134817i
\(148\) 21.1819 36.6882i 1.74114 3.01575i
\(149\) 8.68745 + 3.40957i 0.711703 + 0.279323i 0.693444 0.720510i \(-0.256092\pi\)
0.0182591 + 0.999833i \(0.494188\pi\)
\(150\) −7.37148 + 16.0667i −0.601879 + 1.31184i
\(151\) −0.507125 0.470543i −0.0412692 0.0382922i 0.659269 0.751908i \(-0.270866\pi\)
−0.700538 + 0.713615i \(0.747056\pi\)
\(152\) 2.63560 35.1697i 0.213775 2.85264i
\(153\) −5.34927 + 7.24639i −0.432463 + 0.585836i
\(154\) −0.836214 14.3292i −0.0673841 1.15468i
\(155\) 3.99629 5.86148i 0.320990 0.470806i
\(156\) −0.373662 20.0366i −0.0299169 1.60421i
\(157\) −9.58525 + 19.9040i −0.764986 + 1.58851i 0.0428351 + 0.999082i \(0.486361\pi\)
−0.807821 + 0.589428i \(0.799353\pi\)
\(158\) 32.4582 25.8846i 2.58224 2.05927i
\(159\) 4.64956 1.92562i 0.368734 0.152712i
\(160\) 7.71327 + 3.02724i 0.609788 + 0.239324i
\(161\) −1.70760 + 3.40108i −0.134578 + 0.268042i
\(162\) −11.6268 + 20.1284i −0.913489 + 1.58143i
\(163\) 7.03560 4.79679i 0.551071 0.375714i −0.255538 0.966799i \(-0.582253\pi\)
0.806609 + 0.591085i \(0.201300\pi\)
\(164\) 51.6305 + 15.9259i 4.03166 + 1.24360i
\(165\) 3.49265 + 1.29614i 0.271902 + 0.100905i
\(166\) 0.585158 0.337841i 0.0454170 0.0262215i
\(167\) −6.83751 2.10909i −0.529103 0.163207i 0.0186827 0.999825i \(-0.494053\pi\)
−0.547785 + 0.836619i \(0.684529\pi\)
\(168\) 30.8333 + 6.96817i 2.37884 + 0.537606i
\(169\) 6.55888 2.02315i 0.504529 0.155627i
\(170\) −5.40072 + 5.82059i −0.414216 + 0.446419i
\(171\) 14.4771 + 5.06747i 1.10709 + 0.387519i
\(172\) 11.0221 + 1.66132i 0.840428 + 0.126674i
\(173\) 0.979908 4.29326i 0.0745011 0.326410i −0.923920 0.382586i \(-0.875034\pi\)
0.998421 + 0.0561756i \(0.0178907\pi\)
\(174\) −1.10944 + 19.7368i −0.0841068 + 1.49624i
\(175\) −3.97964 + 9.66757i −0.300833 + 0.730800i
\(176\) −5.24695 + 17.0102i −0.395504 + 1.28219i
\(177\) 9.12781 24.5962i 0.686088 1.84877i
\(178\) 17.5418 + 10.1277i 1.31481 + 0.759106i
\(179\) −13.6666 14.7291i −1.02149 1.10090i −0.994860 0.101258i \(-0.967713\pi\)
−0.0266289 0.999645i \(-0.508477\pi\)
\(180\) −8.52150 + 11.5437i −0.635155 + 0.860414i
\(181\) 7.72195 + 6.15805i 0.573968 + 0.457724i 0.866951 0.498394i \(-0.166077\pi\)
−0.292983 + 0.956118i \(0.594648\pi\)
\(182\) −0.986150 16.8985i −0.0730983 1.25260i
\(183\) −3.47562 10.5642i −0.256925 0.780926i
\(184\) 7.27353 6.74885i 0.536212 0.497532i
\(185\) 5.79059 + 7.26117i 0.425733 + 0.533852i
\(186\) −22.3224 + 21.5005i −1.63676 + 1.57650i
\(187\) −4.93052 3.93196i −0.360556 0.287533i
\(188\) 22.6686 10.9166i 1.65328 0.796176i
\(189\) −6.39917 + 12.1676i −0.465471 + 0.885063i
\(190\) 12.1827 + 5.86687i 0.883825 + 0.425628i
\(191\) −6.69264 13.8974i −0.484262 1.00558i −0.989758 0.142752i \(-0.954405\pi\)
0.505496 0.862829i \(-0.331309\pi\)
\(192\) −5.72484 3.74871i −0.413155 0.270540i
\(193\) −5.29395 + 2.54943i −0.381067 + 0.183512i −0.614604 0.788836i \(-0.710684\pi\)
0.233537 + 0.972348i \(0.424970\pi\)
\(194\) −0.115000 + 0.293016i −0.00825653 + 0.0210373i
\(195\) 4.11889 + 1.52854i 0.294960 + 0.109461i
\(196\) 32.1518 + 5.93762i 2.29656 + 0.424116i
\(197\) 15.7106i 1.11933i 0.828717 + 0.559667i \(0.189071\pi\)
−0.828717 + 0.559667i \(0.810929\pi\)
\(198\) −13.7799 8.66054i −0.979296 0.615478i
\(199\) −6.64626 + 9.74827i −0.471141 + 0.691036i −0.986095 0.166181i \(-0.946856\pi\)
0.514955 + 0.857217i \(0.327809\pi\)
\(200\) 18.5399 19.9812i 1.31097 1.41288i
\(201\) 1.42361 + 15.1901i 0.100414 + 1.07143i
\(202\) −7.40322 10.8585i −0.520889 0.764003i
\(203\) −0.192999 + 11.6897i −0.0135459 + 0.820453i
\(204\) 19.8098 14.0542i 1.38696 0.983990i
\(205\) −7.38533 + 9.26091i −0.515814 + 0.646810i
\(206\) 2.50485 + 33.4249i 0.174521 + 2.32882i
\(207\) 2.01597 + 3.81538i 0.140120 + 0.265187i
\(208\) −6.18774 + 20.0602i −0.429043 + 1.39092i
\(209\) −3.92355 + 9.99705i −0.271398 + 0.691510i
\(210\) −6.80575 + 10.0282i −0.469641 + 0.692012i
\(211\) −7.58797 19.3338i −0.522377 1.33100i −0.912064 0.410048i \(-0.865512\pi\)
0.389686 0.920948i \(-0.372583\pi\)
\(212\) −13.5332 + 1.01417i −0.929462 + 0.0696535i
\(213\) −1.64559 + 12.4944i −0.112754 + 0.856102i
\(214\) −0.542224 + 0.939159i −0.0370656 + 0.0641996i
\(215\) −1.22183 + 2.11627i −0.0833282 + 0.144329i
\(216\) 26.7301 23.8798i 1.81876 1.62482i
\(217\) −12.6877 + 13.2292i −0.861297 + 0.898058i
\(218\) 8.94848 + 29.0103i 0.606067 + 1.96482i
\(219\) 8.19774 + 0.460812i 0.553952 + 0.0311388i
\(220\) −7.85443 6.26370i −0.529545 0.422298i
\(221\) −5.81458 4.63697i −0.391131 0.311916i
\(222\) −18.2832 36.2219i −1.22709 2.43105i
\(223\) 3.84243 + 12.4569i 0.257308 + 0.834172i 0.988397 + 0.151891i \(0.0485361\pi\)
−0.731089 + 0.682282i \(0.760988\pi\)
\(224\) −18.3620 11.0094i −1.22687 0.735599i
\(225\) 6.30588 + 10.0381i 0.420392 + 0.669208i
\(226\) 20.4765 35.4664i 1.36208 2.35919i
\(227\) 4.62039 8.00274i 0.306666 0.531161i −0.670965 0.741489i \(-0.734120\pi\)
0.977631 + 0.210328i \(0.0674533\pi\)
\(228\) −32.8138 25.1817i −2.17315 1.66770i
\(229\) 18.4999 1.38638i 1.22251 0.0916143i 0.552209 0.833706i \(-0.313785\pi\)
0.670299 + 0.742091i \(0.266166\pi\)
\(230\) 1.38982 + 3.54120i 0.0916419 + 0.233500i
\(231\) −8.34640 4.79503i −0.549153 0.315490i
\(232\) 11.1362 28.3746i 0.731128 1.86288i
\(233\) 2.42476 7.86088i 0.158851 0.514984i −0.840801 0.541344i \(-0.817916\pi\)
0.999652 + 0.0263606i \(0.00839181\pi\)
\(234\) −16.2507 10.2134i −1.06234 0.667670i
\(235\) 0.412200 + 5.50043i 0.0268890 + 0.358809i
\(236\) −44.1108 + 55.3131i −2.87137 + 3.60058i
\(237\) −2.59786 27.7195i −0.168749 1.80057i
\(238\) 16.2491 12.5250i 1.05327 0.811876i
\(239\) −8.27840 12.1422i −0.535485 0.785412i 0.459205 0.888330i \(-0.348134\pi\)
−0.994690 + 0.102918i \(0.967182\pi\)
\(240\) 12.2587 8.69700i 0.791293 0.561389i
\(241\) 10.0349 10.8150i 0.646403 0.696656i −0.321804 0.946806i \(-0.604289\pi\)
0.968207 + 0.250150i \(0.0804798\pi\)
\(242\) −9.58493 + 14.0585i −0.616143 + 0.903715i
\(243\) 7.02132 + 13.9177i 0.450418 + 0.892818i
\(244\) 29.9904i 1.91994i
\(245\) −3.78686 + 6.08580i −0.241934 + 0.388808i
\(246\) 39.8503 33.0137i 2.54076 2.10488i
\(247\) −4.62705 + 11.7895i −0.294412 + 0.750151i
\(248\) 43.0577 20.7355i 2.73417 1.31671i
\(249\) 0.0254307 0.452407i 0.00161161 0.0286701i
\(250\) 10.2718 + 21.3295i 0.649643 + 1.34900i
\(251\) −0.457089 0.220123i −0.0288512 0.0138940i 0.419403 0.907800i \(-0.362240\pi\)
−0.448254 + 0.893906i \(0.647954\pi\)
\(252\) 26.6466 25.7755i 1.67858 1.62371i
\(253\) −2.72218 + 1.31093i −0.171142 + 0.0824177i
\(254\) 42.8177 + 34.1460i 2.68662 + 2.14251i
\(255\) 1.28147 + 5.16831i 0.0802489 + 0.323652i
\(256\) −14.5565 18.2533i −0.909782 1.14083i
\(257\) 13.5093 12.5348i 0.842688 0.781900i −0.135247 0.990812i \(-0.543183\pi\)
0.977934 + 0.208912i \(0.0669923\pi\)
\(258\) 7.11424 7.95998i 0.442913 0.495567i
\(259\) −11.6537 20.9771i −0.724128 1.30346i
\(260\) −9.26274 7.38679i −0.574451 0.458109i
\(261\) 10.6654 + 7.87319i 0.660173 + 0.487338i
\(262\) −10.6567 11.4851i −0.658371 0.709555i
\(263\) −13.6332 7.87110i −0.840656 0.485353i 0.0168310 0.999858i \(-0.494642\pi\)
−0.857487 + 0.514505i \(0.827976\pi\)
\(264\) 16.0105 + 19.3260i 0.985377 + 1.18943i
\(265\) 0.876951 2.84300i 0.0538707 0.174644i
\(266\) −28.5381 20.1550i −1.74978 1.23578i
\(267\) 12.1264 6.12087i 0.742122 0.374591i
\(268\) 9.15502 40.1108i 0.559232 2.45016i
\(269\) −8.71926 1.31422i −0.531623 0.0801292i −0.122255 0.992499i \(-0.539013\pi\)
−0.409368 + 0.912370i \(0.634251\pi\)
\(270\) 4.77848 + 12.8847i 0.290809 + 0.784139i
\(271\) −14.1243 + 15.2224i −0.857991 + 0.924694i −0.997854 0.0654768i \(-0.979143\pi\)
0.139863 + 0.990171i \(0.455334\pi\)
\(272\) −24.3132 + 7.49962i −1.47420 + 0.454731i
\(273\) −9.84292 5.65479i −0.595721 0.342243i
\(274\) 1.29786 + 0.400336i 0.0784064 + 0.0241852i
\(275\) −7.18811 + 4.15006i −0.433459 + 0.250258i
\(276\) −1.94863 11.4725i −0.117294 0.690563i
\(277\) 18.3325 + 5.65484i 1.10149 + 0.339766i 0.791622 0.611012i \(-0.209237\pi\)
0.309873 + 0.950778i \(0.399713\pi\)
\(278\) −4.95107 + 3.37558i −0.296945 + 0.202454i
\(279\) 3.86187 + 20.4224i 0.231204 + 1.22266i
\(280\) 14.8013 11.4090i 0.884544 0.681819i
\(281\) −26.1801 10.2749i −1.56178 0.612952i −0.582024 0.813171i \(-0.697739\pi\)
−0.979751 + 0.200220i \(0.935834\pi\)
\(282\) 3.14664 23.8913i 0.187380 1.42271i
\(283\) −3.51855 + 2.80595i −0.209156 + 0.166797i −0.722465 0.691407i \(-0.756991\pi\)
0.513309 + 0.858204i \(0.328420\pi\)
\(284\) 14.7453 30.6188i 0.874970 1.81689i
\(285\) 7.76711 4.67958i 0.460084 0.277194i
\(286\) 7.57036 11.1037i 0.447645 0.656574i
\(287\) 22.7761 20.4439i 1.34443 1.20677i
\(288\) −22.2517 + 9.70551i −1.31119 + 0.571902i
\(289\) −0.596803 + 7.96379i −0.0351061 + 0.468458i
\(290\) 8.56688 + 7.94891i 0.503065 + 0.466776i
\(291\) 0.122144 + 0.172165i 0.00716020 + 0.0100925i
\(292\) −20.6110 8.08922i −1.20617 0.473386i
\(293\) −7.99862 + 13.8540i −0.467284 + 0.809360i −0.999301 0.0373735i \(-0.988101\pi\)
0.532017 + 0.846734i \(0.321434\pi\)
\(294\) 21.6270 22.6468i 1.26131 1.32079i
\(295\) −7.75503 13.4321i −0.451515 0.782047i
\(296\) 9.32485 + 61.8664i 0.541996 + 3.59591i
\(297\) −9.92123 + 4.54936i −0.575688 + 0.263980i
\(298\) −23.0332 + 7.10479i −1.33427 + 0.411569i
\(299\) −3.21028 + 1.54599i −0.185655 + 0.0894067i
\(300\) −7.69335 31.0281i −0.444175 1.79141i
\(301\) 4.01765 4.87080i 0.231573 0.280748i
\(302\) 1.78177 + 0.133525i 0.102529 + 0.00768352i
\(303\) −8.81175 + 0.164330i −0.506222 + 0.00944052i
\(304\) 24.4081 + 35.8001i 1.39990 + 2.05328i
\(305\) −6.12027 2.40203i −0.350446 0.137540i
\(306\) −0.867361 23.2468i −0.0495837 1.32893i
\(307\) −11.2037 + 8.93468i −0.639431 + 0.509929i −0.888690 0.458508i \(-0.848384\pi\)
0.249260 + 0.968437i \(0.419813\pi\)
\(308\) 17.3390 + 19.3170i 0.987984 + 1.10069i
\(309\) 19.6727 + 10.8741i 1.11914 + 0.618605i
\(310\) 1.36926 + 18.2715i 0.0777687 + 1.03775i
\(311\) 4.93143 + 21.6060i 0.279636 + 1.22516i 0.898256 + 0.439473i \(0.144835\pi\)
−0.618620 + 0.785690i \(0.712308\pi\)
\(312\) 18.8812 + 22.7912i 1.06894 + 1.29030i
\(313\) 16.5150i 0.933484i 0.884393 + 0.466742i \(0.154572\pi\)
−0.884393 + 0.466742i \(0.845428\pi\)
\(314\) −12.6967 55.6277i −0.716514 3.13925i
\(315\) 3.12592 + 7.50235i 0.176125 + 0.422709i
\(316\) −16.7064 + 73.1957i −0.939811 + 4.11758i
\(317\) 22.3515 + 5.10159i 1.25539 + 0.286534i 0.797958 0.602713i \(-0.205914\pi\)
0.457428 + 0.889247i \(0.348771\pi\)
\(318\) −6.28796 + 11.3758i −0.352611 + 0.637922i
\(319\) −5.78716 + 7.25687i −0.324019 + 0.406306i
\(320\) −3.86578 + 1.19244i −0.216104 + 0.0666592i
\(321\) 0.327702 + 0.649228i 0.0182905 + 0.0362364i
\(322\) −2.02873 9.61762i −0.113056 0.535969i
\(323\) −14.9653 + 3.41573i −0.832692 + 0.190057i
\(324\) −6.25646 41.5689i −0.347581 2.30938i
\(325\) −8.47695 + 4.89417i −0.470217 + 0.271480i
\(326\) −6.48255 + 21.0159i −0.359035 + 1.16396i
\(327\) 19.5632 + 5.63718i 1.08185 + 0.311737i
\(328\) −74.2797 + 29.1527i −4.10141 + 1.60969i
\(329\) 1.29952 14.1926i 0.0716447 0.782462i
\(330\) −9.13994 + 3.00705i −0.503137 + 0.165533i
\(331\) 7.39151 + 32.3843i 0.406274 + 1.78000i 0.601110 + 0.799166i \(0.294725\pi\)
−0.194836 + 0.980836i \(0.562417\pi\)
\(332\) −0.446418 + 1.13745i −0.0245004 + 0.0624260i
\(333\) −27.0385 3.04941i −1.48170 0.167107i
\(334\) 17.2034 6.75183i 0.941327 0.369444i
\(335\) 7.45233 + 5.08091i 0.407164 + 0.277600i
\(336\) −34.9537 + 16.9250i −1.90688 + 0.923332i
\(337\) −11.1769 + 7.62028i −0.608844 + 0.415103i −0.828113 0.560562i \(-0.810585\pi\)
0.219269 + 0.975665i \(0.429633\pi\)
\(338\) −9.98641 + 14.6474i −0.543189 + 0.796712i
\(339\) −12.3753 24.5174i −0.672136 1.33160i
\(340\) 1.07307 14.3192i 0.0581955 0.776565i
\(341\) −14.3900 + 2.16894i −0.779261 + 0.117455i
\(342\) −37.3939 + 13.0802i −2.02203 + 0.707299i
\(343\) 12.2499 13.8903i 0.661431 0.750006i
\(344\) −14.2564 + 8.23096i −0.768655 + 0.443783i
\(345\) 2.49732 + 0.521205i 0.134451 + 0.0280607i
\(346\) 4.93488 + 10.2474i 0.265301 + 0.550903i
\(347\) 22.9138 + 5.22993i 1.23008 + 0.280757i 0.787693 0.616068i \(-0.211275\pi\)
0.442385 + 0.896825i \(0.354132\pi\)
\(348\) −20.6853 29.1565i −1.10885 1.56295i
\(349\) 5.61998 0.421159i 0.300831 0.0225441i 0.0765402 0.997066i \(-0.475613\pi\)
0.224290 + 0.974522i \(0.427994\pi\)
\(350\) −7.53198 25.9303i −0.402601 1.38604i
\(351\) −11.7001 + 5.36507i −0.624506 + 0.286366i
\(352\) −6.20987 15.8225i −0.330987 0.843341i
\(353\) −5.51779 + 3.76196i −0.293682 + 0.200229i −0.701193 0.712971i \(-0.747349\pi\)
0.407511 + 0.913200i \(0.366397\pi\)
\(354\) 21.1765 + 64.3661i 1.12552 + 3.42102i
\(355\) 5.06753 + 5.46150i 0.268957 + 0.289866i
\(356\) −36.2215 + 5.45951i −1.91973 + 0.289353i
\(357\) −1.05749 13.7176i −0.0559685 0.726014i
\(358\) 51.3158 + 7.73462i 2.71213 + 0.408787i
\(359\) 14.8966 + 21.8492i 0.786210 + 1.15316i 0.984905 + 0.173097i \(0.0553775\pi\)
−0.198695 + 0.980061i \(0.563670\pi\)
\(360\) −0.790078 21.1755i −0.0416408 1.11605i
\(361\) 3.57027 + 6.18388i 0.187909 + 0.325467i
\(362\) −25.5095 −1.34075
\(363\) 4.36606 + 10.5422i 0.229159 + 0.553322i
\(364\) 20.4480 + 22.7806i 1.07177 + 1.19403i
\(365\) 3.30161 3.55829i 0.172814 0.186249i
\(366\) 24.0302 + 15.7353i 1.25608 + 0.822499i
\(367\) −23.1883 + 9.10074i −1.21042 + 0.475055i −0.882797 0.469754i \(-0.844343\pi\)
−0.327623 + 0.944809i \(0.606247\pi\)
\(368\) −1.81683 + 12.0539i −0.0947089 + 0.628352i
\(369\) −3.88190 34.4858i −0.202084 1.79526i
\(370\) −23.3859 5.33768i −1.21578 0.277493i
\(371\) −3.44928 + 6.87003i −0.179078 + 0.356674i
\(372\) 7.31876 55.5687i 0.379460 2.88110i
\(373\) 2.73693 + 4.74050i 0.141713 + 0.245454i 0.928142 0.372227i \(-0.121406\pi\)
−0.786429 + 0.617681i \(0.788072\pi\)
\(374\) 16.2880 0.842233
\(375\) 15.7402 + 2.07308i 0.812818 + 0.107053i
\(376\) −16.1222 + 33.4782i −0.831441 + 1.72651i
\(377\) −6.82481 + 8.55804i −0.351495 + 0.440761i
\(378\) −6.67212 34.8749i −0.343177 1.79377i
\(379\) −21.6018 27.0877i −1.10961 1.39140i −0.911538 0.411216i \(-0.865104\pi\)
−0.198069 0.980188i \(-0.563467\pi\)
\(380\) −23.8400 + 5.44134i −1.22297 + 0.279135i
\(381\) 34.8872 11.4779i 1.78732 0.588030i
\(382\) 35.8940 + 17.2856i 1.83650 + 0.884411i
\(383\) 31.0150 + 4.67476i 1.58479 + 0.238869i 0.881553 0.472085i \(-0.156498\pi\)
0.703239 + 0.710954i \(0.251737\pi\)
\(384\) −10.3126 + 0.966491i −0.526262 + 0.0493210i
\(385\) −5.33086 + 1.99129i −0.271686 + 0.101486i
\(386\) 6.58464 13.6731i 0.335149 0.695945i
\(387\) −1.85225 6.91561i −0.0941549 0.351540i
\(388\) −0.167789 0.543958i −0.00851818 0.0276153i
\(389\) 25.5810 + 1.91703i 1.29701 + 0.0971974i 0.705274 0.708935i \(-0.250824\pi\)
0.591736 + 0.806132i \(0.298443\pi\)
\(390\) −10.7788 + 3.54622i −0.545804 + 0.179570i
\(391\) −3.73999 2.15928i −0.189139 0.109200i
\(392\) −42.5915 + 22.7496i −2.15119 + 1.14903i
\(393\) −10.3585 + 1.75942i −0.522519 + 0.0887509i
\(394\) −25.2994 31.7245i −1.27457 1.59826i
\(395\) −13.5993 9.27185i −0.684255 0.466517i
\(396\) 29.2483 3.29234i 1.46978 0.165447i
\(397\) −3.32229 0.248971i −0.166741 0.0124955i −0.00890201 0.999960i \(-0.502834\pi\)
−0.157839 + 0.987465i \(0.550453\pi\)
\(398\) −2.27722 30.3874i −0.114147 1.52319i
\(399\) −21.7917 + 8.60645i −1.09095 + 0.430861i
\(400\) −2.50252 + 33.3938i −0.125126 + 1.66969i
\(401\) 3.78674 25.1234i 0.189101 1.25460i −0.669832 0.742512i \(-0.733634\pi\)
0.858933 0.512088i \(-0.171128\pi\)
\(402\) −27.3359 28.3809i −1.36339 1.41551i
\(403\) −16.9701 + 2.55784i −0.845342 + 0.127415i
\(404\) 22.7107 + 7.00532i 1.12990 + 0.348528i
\(405\) 8.98425 + 2.05260i 0.446431 + 0.101995i
\(406\) −18.4346 23.9158i −0.914894 1.18692i
\(407\) 2.83948 18.8387i 0.140748 0.933801i
\(408\) −9.93220 + 34.4685i −0.491717 + 1.70645i
\(409\) 24.0986 5.50034i 1.19160 0.271974i 0.419665 0.907679i \(-0.362148\pi\)
0.771932 + 0.635705i \(0.219290\pi\)
\(410\) 30.5935i 1.51090i
\(411\) 0.701399 0.581069i 0.0345975 0.0286620i
\(412\) −41.2293 44.4346i −2.03122 2.18914i
\(413\) 14.0233 + 37.5415i 0.690039 + 1.84729i
\(414\) −10.2149 4.45802i −0.502036 0.219100i
\(415\) −0.196371 0.182205i −0.00963945 0.00894410i
\(416\) −7.32331 18.6595i −0.359055 0.914857i
\(417\) 0.0749282 + 4.01782i 0.00366925 + 0.196753i
\(418\) −8.17581 26.5053i −0.399892 1.29642i
\(419\) −12.3340 11.4443i −0.602554 0.559089i 0.318795 0.947824i \(-0.396722\pi\)
−0.921350 + 0.388735i \(0.872912\pi\)
\(420\) −1.68461 21.8525i −0.0822005 1.06629i
\(421\) 12.0086 11.1424i 0.585265 0.543046i −0.330994 0.943633i \(-0.607384\pi\)
0.916259 + 0.400587i \(0.131194\pi\)
\(422\) 46.4565 + 26.8217i 2.26147 + 1.30566i
\(423\) −12.2478 10.5424i −0.595510 0.512588i
\(424\) 14.6922 13.6324i 0.713518 0.662048i
\(425\) −10.6887 5.14742i −0.518479 0.249686i
\(426\) −16.7973 27.8800i −0.813831 1.35079i
\(427\) 14.5698 + 8.73568i 0.705081 + 0.422749i
\(428\) −0.292294 1.93924i −0.0141285 0.0937367i
\(429\) −3.44840 8.32642i −0.166490 0.402003i
\(430\) −0.940673 6.24096i −0.0453633 0.300966i
\(431\) 31.9949 2.39769i 1.54114 0.115492i 0.723136 0.690705i \(-0.242700\pi\)
0.818004 + 0.575213i \(0.195081\pi\)
\(432\) −7.38315 + 43.4122i −0.355222 + 2.08867i
\(433\) 0.287603 + 0.597214i 0.0138213 + 0.0287003i 0.907765 0.419479i \(-0.137787\pi\)
−0.893944 + 0.448179i \(0.852073\pi\)
\(434\) 4.31677 47.1453i 0.207212 2.26305i
\(435\) 7.60685 1.88610i 0.364721 0.0904317i
\(436\) −45.3623 30.9275i −2.17246 1.48116i
\(437\) −1.63648 + 7.16990i −0.0782836 + 0.342983i
\(438\) −17.2958 + 12.2706i −0.826424 + 0.586313i
\(439\) 11.8005 9.41060i 0.563208 0.449144i −0.300038 0.953927i \(-0.596999\pi\)
0.863246 + 0.504784i \(0.168428\pi\)
\(440\) 14.8367 0.707314
\(441\) −4.76045 20.4533i −0.226688 0.973967i
\(442\) 19.2085 0.913655
\(443\) 15.6194 12.4561i 0.742101 0.591806i −0.177749 0.984076i \(-0.556882\pi\)
0.919850 + 0.392270i \(0.128310\pi\)
\(444\) 66.6919 + 30.5986i 3.16506 + 1.45214i
\(445\) 1.78695 7.82915i 0.0847096 0.371137i
\(446\) −27.8188 18.9665i −1.31726 0.898092i
\(447\) −4.47573 + 15.5325i −0.211695 + 0.734662i
\(448\) 10.3604 1.38708i 0.489484 0.0655332i
\(449\) −10.3635 21.5201i −0.489085 1.01560i −0.988778 0.149393i \(-0.952268\pi\)
0.499693 0.866203i \(-0.333446\pi\)
\(450\) −28.8983 10.1154i −1.36228 0.476844i
\(451\) 24.2304 1.81582i 1.14096 0.0855035i
\(452\) 11.0382 + 73.2334i 0.519191 + 3.44461i
\(453\) 0.729487 0.950582i 0.0342743 0.0446622i
\(454\) 3.55718 + 23.6004i 0.166947 + 1.10762i
\(455\) −6.28670 + 2.34834i −0.294725 + 0.110092i
\(456\) 61.0758 1.13900i 2.86014 0.0533387i
\(457\) −17.0033 8.18836i −0.795381 0.383035i −0.00836252 0.999965i \(-0.502662\pi\)
−0.787018 + 0.616930i \(0.788376\pi\)
\(458\) −35.1244 + 32.5907i −1.64125 + 1.52286i
\(459\) −13.3609 8.05363i −0.623634 0.375911i
\(460\) −5.95788 3.43978i −0.277787 0.160381i
\(461\) 12.4975 11.5960i 0.582068 0.540080i −0.333236 0.942843i \(-0.608141\pi\)
0.915304 + 0.402763i \(0.131950\pi\)
\(462\) 24.5755 3.75792i 1.14336 0.174834i
\(463\) 21.4020 + 19.8581i 0.994634 + 0.922886i 0.997022 0.0771112i \(-0.0245697\pi\)
−0.00238802 + 0.999997i \(0.500760\pi\)
\(464\) 11.0381 + 35.7847i 0.512432 + 1.66126i
\(465\) 10.7540 + 5.94425i 0.498703 + 0.275658i
\(466\) 7.76237 + 19.7782i 0.359585 + 0.916207i
\(467\) 23.5873 + 21.8858i 1.09149 + 1.01275i 0.999856 + 0.0169597i \(0.00539871\pi\)
0.0916317 + 0.995793i \(0.470792\pi\)
\(468\) 34.4926 3.88267i 1.59442 0.179476i
\(469\) −16.8197 16.1312i −0.776663 0.744871i
\(470\) −9.68993 10.4433i −0.446963 0.481712i
\(471\) −35.8734 13.3128i −1.65296 0.613423i
\(472\) 104.485i 4.80930i
\(473\) 4.88708 1.11544i 0.224708 0.0512882i
\(474\) 49.8837 + 51.7906i 2.29123 + 2.37882i
\(475\) −3.01111 + 19.9774i −0.138159 + 0.916627i
\(476\) −8.85191 + 36.0303i −0.405727 + 1.65145i
\(477\) 4.07218 + 7.70691i 0.186452 + 0.352875i
\(478\) 36.2696 + 11.1877i 1.65894 + 0.511714i
\(479\) −34.6769 + 5.22671i −1.58443 + 0.238814i −0.881409 0.472354i \(-0.843404\pi\)
−0.703021 + 0.711169i \(0.748166\pi\)
\(480\) −3.97384 + 13.7907i −0.181380 + 0.629459i
\(481\) 3.34861 22.2165i 0.152683 1.01299i
\(482\) −2.84758 + 37.9984i −0.129704 + 1.73078i
\(483\) −6.14111 2.39507i −0.279430 0.108979i
\(484\) −2.29948 30.6845i −0.104522 1.39475i
\(485\) 0.124447 + 0.00932599i 0.00565083 + 0.000423471i
\(486\) −36.5903 16.7972i −1.65977 0.761939i
\(487\) −8.16711 5.56824i −0.370087 0.252321i 0.363967 0.931412i \(-0.381422\pi\)
−0.734055 + 0.679091i \(0.762374\pi\)
\(488\) −27.6152 34.6284i −1.25008 1.56755i
\(489\) 9.40913 + 11.3576i 0.425495 + 0.513609i
\(490\) −2.15339 18.3872i −0.0972802 0.830650i
\(491\) 9.89994 + 5.71573i 0.446778 + 0.257947i 0.706469 0.707744i \(-0.250287\pi\)
−0.259690 + 0.965692i \(0.583621\pi\)
\(492\) −19.1196 + 91.6104i −0.861980 + 4.13011i
\(493\) −13.2298 0.991433i −0.595838 0.0446519i
\(494\) −9.64175 31.2578i −0.433803 1.40635i
\(495\) −1.67071 + 6.23253i −0.0750929 + 0.280131i
\(496\) −25.4747 + 52.8988i −1.14385 + 2.37522i
\(497\) −10.5801 16.0822i −0.474580 0.721386i
\(498\) 0.677177 + 0.954499i 0.0303450 + 0.0427721i
\(499\) −6.79448 1.02410i −0.304163 0.0458451i −0.00481232 0.999988i \(-0.501532\pi\)
−0.299350 + 0.954143i \(0.596770\pi\)
\(500\) −38.5729 18.5757i −1.72503 0.830732i
\(501\) 2.53205 12.1321i 0.113124 0.542023i
\(502\) 1.27747 0.291575i 0.0570165 0.0130136i
\(503\) −11.4749 14.3891i −0.511642 0.641578i 0.457169 0.889380i \(-0.348863\pi\)
−0.968811 + 0.247801i \(0.920292\pi\)
\(504\) −7.03333 + 54.2980i −0.313289 + 2.41863i
\(505\) −3.24858 + 4.07360i −0.144560 + 0.181273i
\(506\) 3.38586 7.03081i 0.150520 0.312558i
\(507\) 4.54894 + 10.9838i 0.202026 + 0.487806i
\(508\) −99.0403 −4.39420
\(509\) 22.3075 + 38.6377i 0.988761 + 1.71258i 0.623856 + 0.781539i \(0.285565\pi\)
0.364905 + 0.931045i \(0.381102\pi\)
\(510\) −10.9104 8.37279i −0.483122 0.370753i
\(511\) −9.93350 + 7.65688i −0.439432 + 0.338721i
\(512\) 47.1278 + 10.7566i 2.08277 + 0.475379i
\(513\) −6.39906 + 25.7846i −0.282525 + 1.13842i
\(514\) −7.09408 + 47.0662i −0.312907 + 2.07600i
\(515\) 12.3702 4.85494i 0.545095 0.213934i
\(516\) −1.08355 + 19.2761i −0.0477006 + 0.848582i
\(517\) 7.69605 8.29437i 0.338472 0.364786i
\(518\) 57.3128 + 23.5927i 2.51818 + 1.03660i
\(519\) 7.56207 + 0.995974i 0.331938 + 0.0437184i
\(520\) 17.4970 0.767295
\(521\) −1.66766 2.88848i −0.0730617 0.126547i 0.827180 0.561937i \(-0.189944\pi\)
−0.900242 + 0.435390i \(0.856610\pi\)
\(522\) −34.2152 + 1.27660i −1.49756 + 0.0558754i
\(523\) −0.844319 1.23839i −0.0369195 0.0541510i 0.807335 0.590093i \(-0.200909\pi\)
−0.844255 + 0.535942i \(0.819957\pi\)
\(524\) 28.0172 + 4.22292i 1.22394 + 0.184479i
\(525\) −17.3149 5.30041i −0.755682 0.231329i
\(526\) 40.2046 6.05987i 1.75301 0.264223i
\(527\) −14.1478 15.2477i −0.616289 0.664201i
\(528\) −30.1820 6.29916i −1.31350 0.274136i
\(529\) 17.2940 11.7908i 0.751912 0.512645i
\(530\) 2.80738 + 7.15308i 0.121945 + 0.310710i
\(531\) 43.8913 + 11.7656i 1.90472 + 0.510585i
\(532\) 63.0751 3.68088i 2.73465 0.159587i
\(533\) 28.5750 2.14140i 1.23772 0.0927542i
\(534\) −14.6301 + 31.8875i −0.633108 + 1.37991i
\(535\) 0.419161 + 0.0956707i 0.0181219 + 0.00413620i
\(536\) 26.3633 + 54.7439i 1.13872 + 2.36458i
\(537\) 23.1914 25.9485i 1.00078 1.11976i
\(538\) 19.7232 11.3872i 0.850326 0.490936i
\(539\) 14.4351 2.79685i 0.621763 0.120469i
\(540\) −21.2842 12.8296i −0.915926 0.552098i
\(541\) 9.56605 1.44185i 0.411277 0.0619900i 0.0598546 0.998207i \(-0.480936\pi\)
0.351422 + 0.936217i \(0.385698\pi\)
\(542\) 4.00804 53.4836i 0.172160 2.29732i
\(543\) −9.37150 + 14.3117i −0.402170 + 0.614174i
\(544\) 13.6858 20.0734i 0.586775 0.860641i
\(545\) 9.94472 6.78020i 0.425985 0.290432i
\(546\) 28.9820 4.43173i 1.24031 0.189660i
\(547\) −21.1946 14.4502i −0.906215 0.617847i 0.0179508 0.999839i \(-0.494286\pi\)
−0.924166 + 0.381992i \(0.875238\pi\)
\(548\) −2.28641 + 0.897351i −0.0976708 + 0.0383330i
\(549\) 17.6561 7.70105i 0.753545 0.328673i
\(550\) 7.83197 19.9555i 0.333956 0.850906i
\(551\) 5.02736 + 22.0263i 0.214173 + 0.938352i
\(552\) 12.8139 + 11.4524i 0.545395 + 0.487447i
\(553\) 30.6933 + 29.4369i 1.30521 + 1.25178i
\(554\) −46.1251 + 18.1028i −1.95967 + 0.769114i
\(555\) −11.5860 + 11.1594i −0.491797 + 0.473689i
\(556\) 3.19416 10.3552i 0.135462 0.439158i
\(557\) 5.62503 3.24761i 0.238340 0.137606i −0.376073 0.926590i \(-0.622726\pi\)
0.614414 + 0.788984i \(0.289393\pi\)
\(558\) −40.6853 35.0200i −1.72234 1.48252i
\(559\) 5.76335 1.31545i 0.243764 0.0556375i
\(560\) −5.47773 + 22.2963i −0.231477 + 0.942189i
\(561\) 5.98378 9.13814i 0.252635 0.385812i
\(562\) 69.4118 21.4107i 2.92796 0.903156i
\(563\) 8.02360 10.0613i 0.338154 0.424032i −0.583458 0.812143i \(-0.698301\pi\)
0.921613 + 0.388111i \(0.126872\pi\)
\(564\) 22.4893 + 37.3275i 0.946971 + 1.57177i
\(565\) −15.8292 3.61290i −0.665938 0.151996i
\(566\) 2.58649 11.3321i 0.108718 0.476325i
\(567\) −22.0172 9.06882i −0.924635 0.380855i
\(568\) 11.1683 + 48.9315i 0.468612 + 2.05312i
\(569\) 6.80986i 0.285484i −0.989760 0.142742i \(-0.954408\pi\)
0.989760 0.142742i \(-0.0455919\pi\)
\(570\) −8.14844 + 21.9572i −0.341300 + 0.919685i
\(571\) −3.27492 14.3484i −0.137051 0.600460i −0.996074 0.0885232i \(-0.971785\pi\)
0.859023 0.511937i \(-0.171072\pi\)
\(572\) 1.81618 + 24.2352i 0.0759382 + 1.01332i
\(573\) 22.8843 13.7875i 0.956007 0.575981i
\(574\) −13.0702 + 77.9598i −0.545540 + 3.25398i
\(575\) −4.44382 + 3.54383i −0.185320 + 0.147788i
\(576\) 5.53938 10.4783i 0.230807 0.436597i
\(577\) 2.02178 + 0.793488i 0.0841676 + 0.0330334i 0.407051 0.913405i \(-0.366557\pi\)
−0.322884 + 0.946439i \(0.604652\pi\)
\(578\) −11.6193 17.0424i −0.483298 0.708869i
\(579\) −5.25209 8.71735i −0.218269 0.362281i
\(580\) −21.0753 1.57937i −0.875104 0.0655799i
\(581\) 0.422559 + 0.548198i 0.0175307 + 0.0227431i
\(582\) −0.523890 0.150960i −0.0217159 0.00625750i
\(583\) −5.49869 + 2.64803i −0.227733 + 0.109670i
\(584\) 31.2471 9.63844i 1.29301 0.398842i
\(585\) −1.97027 + 7.35004i −0.0814608 + 0.303887i
\(586\) −6.15804 40.8560i −0.254386 1.68774i
\(587\) −15.2132 26.3501i −0.627917 1.08758i −0.987969 0.154652i \(-0.950574\pi\)
0.360052 0.932932i \(-0.382759\pi\)
\(588\) −5.04305 + 56.4052i −0.207972 + 2.32611i
\(589\) −17.7109 + 30.6762i −0.729766 + 1.26399i
\(590\) 37.2900 + 14.6353i 1.53521 + 0.602524i
\(591\) −27.0929 + 2.53913i −1.11445 + 0.104446i
\(592\) −56.3458 52.2813i −2.31580 2.14875i
\(593\) 0.720189 9.61025i 0.0295746 0.394646i −0.962699 0.270575i \(-0.912786\pi\)
0.992273 0.124070i \(-0.0395949\pi\)
\(594\) 12.7079 25.1631i 0.521413 1.03245i
\(595\) −6.64390 4.69224i −0.272373 0.192363i
\(596\) 24.5554 36.0161i 1.00583 1.47528i
\(597\) −17.8850 9.88593i −0.731984 0.404604i
\(598\) 3.99295 8.29145i 0.163284 0.339063i
\(599\) −31.3427 + 24.9949i −1.28063 + 1.02127i −0.282552 + 0.959252i \(0.591181\pi\)
−0.998075 + 0.0620137i \(0.980248\pi\)
\(600\) 37.4539 + 28.7425i 1.52905 + 1.17341i
\(601\) 18.4572 + 7.24392i 0.752885 + 0.295485i 0.710577 0.703619i \(-0.248434\pi\)
0.0423075 + 0.999105i \(0.486529\pi\)
\(602\) −0.269206 + 16.3054i −0.0109720 + 0.664559i
\(603\) −25.9651 + 4.91001i −1.05738 + 0.199951i
\(604\) −2.66978 + 1.82022i −0.108632 + 0.0740639i
\(605\) 6.44610 + 1.98836i 0.262071 + 0.0808383i
\(606\) 17.5290 14.5217i 0.712065 0.589906i
\(607\) −18.6546 + 10.7702i −0.757165 + 0.437149i −0.828277 0.560319i \(-0.810679\pi\)
0.0711119 + 0.997468i \(0.477345\pi\)
\(608\) −39.5349 12.1949i −1.60335 0.494569i
\(609\) −20.1899 + 1.55644i −0.818138 + 0.0630703i
\(610\) 16.2268 5.00529i 0.657002 0.202658i
\(611\) 9.07597 9.78157i 0.367175 0.395720i
\(612\) 27.4380 + 31.8904i 1.10911 + 1.28909i
\(613\) 38.7213 + 5.83630i 1.56394 + 0.235726i 0.873194 0.487373i \(-0.162045\pi\)
0.690745 + 0.723099i \(0.257283\pi\)
\(614\) 8.23586 36.0836i 0.332372 1.45622i
\(615\) −17.1640 11.2392i −0.692119 0.453209i
\(616\) −37.8077 6.33859i −1.52332 0.255389i
\(617\) −1.43719 + 4.65925i −0.0578590 + 0.187574i −0.979889 0.199545i \(-0.936054\pi\)
0.922030 + 0.387119i \(0.126530\pi\)
\(618\) −57.2361 + 9.72168i −2.30237 + 0.391063i
\(619\) 35.3011 + 20.3811i 1.41887 + 0.819186i 0.996200 0.0870964i \(-0.0277588\pi\)
0.422672 + 0.906283i \(0.361092\pi\)
\(620\) −22.5378 24.2899i −0.905138 0.975507i
\(621\) −6.25379 + 4.09317i −0.250956 + 0.164253i
\(622\) −44.7511 35.6878i −1.79435 1.43095i
\(623\) −7.89838 + 19.1872i −0.316442 + 0.768719i
\(624\) −35.5937 7.42862i −1.42489 0.297383i
\(625\) −7.60294 + 7.05450i −0.304118 + 0.282180i
\(626\) −26.5948 33.3488i −1.06294 1.33289i
\(627\) −17.8740 5.15043i −0.713818 0.205688i
\(628\) 80.6739 + 64.3352i 3.21924 + 2.56726i
\(629\) 24.5342 11.8150i 0.978241 0.471096i
\(630\) −18.3935 10.1157i −0.732815 0.403020i
\(631\) 24.7090 + 11.8992i 0.983648 + 0.473700i 0.855358 0.518037i \(-0.173337\pi\)
0.128290 + 0.991737i \(0.459051\pi\)
\(632\) −48.1087 99.8987i −1.91366 3.97376i
\(633\) 32.1147 16.2101i 1.27645 0.644294i
\(634\) −53.3498 + 25.6919i −2.11879 + 1.02036i
\(635\) 7.93247 20.2116i 0.314790 0.802073i
\(636\) −3.93615 23.1740i −0.156078 0.918907i
\(637\) 17.0233 3.29833i 0.674489 0.130685i
\(638\) 23.9731i 0.949104i
\(639\) −21.8125 0.818486i −0.862888 0.0323788i
\(640\) −3.44944 + 5.05940i −0.136351 + 0.199990i
\(641\) 12.5014 13.4733i 0.493775 0.532162i −0.436169 0.899865i \(-0.643665\pi\)
0.929944 + 0.367702i \(0.119855\pi\)
\(642\) −1.70721 0.783276i −0.0673781 0.0309134i
\(643\) 22.1210 + 32.4455i 0.872365 + 1.27953i 0.959035 + 0.283288i \(0.0914252\pi\)
−0.0866695 + 0.996237i \(0.527622\pi\)
\(644\) 13.7126 + 11.3108i 0.540352 + 0.445706i
\(645\) −3.84697 1.76501i −0.151474 0.0694972i
\(646\) 24.7190 30.9966i 0.972556 1.21955i
\(647\) 1.58289 + 21.1222i 0.0622297 + 0.830398i 0.937771 + 0.347254i \(0.112886\pi\)
−0.875541 + 0.483143i \(0.839495\pi\)
\(648\) 45.5007 + 42.2365i 1.78744 + 1.65921i
\(649\) −9.37801 + 30.4028i −0.368119 + 1.19341i
\(650\) 9.23626 23.5336i 0.362276 0.923064i
\(651\) −24.8643 19.7418i −0.974508 0.773741i
\(652\) −14.5306 37.0234i −0.569063 1.44995i
\(653\) −16.1655 + 1.21144i −0.632605 + 0.0474072i −0.387174 0.922007i \(-0.626549\pi\)
−0.245431 + 0.969414i \(0.578930\pi\)
\(654\) −48.5818 + 20.1202i −1.89970 + 0.786762i
\(655\) −3.10578 + 5.37938i −0.121353 + 0.210190i
\(656\) 49.0167 84.8994i 1.91378 3.31477i
\(657\) 0.530242 + 14.2114i 0.0206867 + 0.554440i
\(658\) 20.2308 + 30.7518i 0.788677 + 1.19883i
\(659\) −8.39066 27.2019i −0.326854 1.05963i −0.958671 0.284517i \(-0.908167\pi\)
0.631817 0.775117i \(-0.282309\pi\)
\(660\) 9.53228 14.5572i 0.371044 0.566640i
\(661\) 12.6277 + 10.0703i 0.491162 + 0.391689i 0.837514 0.546416i \(-0.184008\pi\)
−0.346352 + 0.938105i \(0.612580\pi\)
\(662\) −67.0755 53.4909i −2.60696 2.07898i
\(663\) 7.05668 10.7766i 0.274059 0.418529i
\(664\) −0.531915 1.72443i −0.0206423 0.0669207i
\(665\) −4.30072 + 13.1668i −0.166775 + 0.510588i
\(666\) 59.5095 37.3835i 2.30595 1.44858i
\(667\) −3.17809 + 5.50461i −0.123056 + 0.213139i
\(668\) −16.7107 + 28.9437i −0.646556 + 1.11987i
\(669\) −20.8608 + 8.63951i −0.806523 + 0.334023i
\(670\) −23.2305 + 1.74089i −0.897473 + 0.0672563i
\(671\) 4.92736 + 12.5547i 0.190219 + 0.484669i
\(672\) 16.0180 33.4445i 0.617909 1.29015i
\(673\) −7.38229 + 18.8098i −0.284566 + 0.725063i 0.715095 + 0.699028i \(0.246384\pi\)
−0.999661 + 0.0260357i \(0.991712\pi\)
\(674\) 10.2983 33.3863i 0.396676 1.28599i
\(675\) −16.2915 + 12.4968i −0.627061 + 0.481002i
\(676\) −2.39580 31.9698i −0.0921463 1.22961i
\(677\) 1.73490 2.17549i 0.0666775 0.0836110i −0.747374 0.664403i \(-0.768686\pi\)
0.814052 + 0.580792i \(0.197257\pi\)
\(678\) 64.4709 + 29.5796i 2.47599 + 1.13600i
\(679\) −0.313137 0.0769313i −0.0120171 0.00295235i
\(680\) 11.9461 + 17.5217i 0.458112 + 0.671927i
\(681\) 14.5474 + 6.67443i 0.557459 + 0.255765i
\(682\) 25.5650 27.5525i 0.978934 1.05504i
\(683\) 17.5649 25.7630i 0.672104 0.985795i −0.327064 0.945002i \(-0.606059\pi\)
0.999168 0.0407929i \(-0.0129884\pi\)
\(684\) 38.1223 60.6570i 1.45764 2.31928i
\(685\) 0.538471i 0.0205739i
\(686\) −2.36806 + 47.7752i −0.0904129 + 1.82407i
\(687\) 5.38073 + 31.6789i 0.205288 + 1.20863i
\(688\) 7.38879 18.8263i 0.281695 0.717747i
\(689\) −6.48462 + 3.12283i −0.247044 + 0.118970i
\(690\) −5.88216 + 2.96906i −0.223930 + 0.113030i
\(691\) −1.28281 2.66378i −0.0488003 0.101335i 0.875143 0.483865i \(-0.160767\pi\)
−0.923943 + 0.382530i \(0.875053\pi\)
\(692\) −18.5317 8.92437i −0.704468 0.339254i
\(693\) 6.92006 15.1683i 0.262871 0.576195i
\(694\) −54.6919 + 26.3382i −2.07608 + 0.999786i
\(695\) 1.85740 + 1.48123i 0.0704553 + 0.0561862i
\(696\) 50.7317 + 14.6185i 1.92298 + 0.554111i
\(697\) 21.6540 + 27.1532i 0.820203 + 1.02850i
\(698\) −10.6702 + 9.90053i −0.403874 + 0.374741i
\(699\) 13.9479 + 2.91102i 0.527559 + 0.110105i
\(700\) 39.8868 + 28.1700i 1.50758 + 1.06472i
\(701\) −33.9829 27.1005i −1.28352 1.02357i −0.997870 0.0652350i \(-0.979220\pi\)
−0.285646 0.958335i \(-0.592208\pi\)
\(702\) 14.9865 29.6749i 0.565629 1.12001i
\(703\) −31.5415 33.9936i −1.18961 1.28209i
\(704\) 7.18688 + 4.14935i 0.270866 + 0.156384i
\(705\) −9.41884 + 1.59981i −0.354734 + 0.0602524i
\(706\) 5.08404 16.4821i 0.191340 0.620310i
\(707\) 10.0185 8.99267i 0.376786 0.338204i
\(708\) −102.516 67.1291i −3.85280 2.52287i
\(709\) 3.51828 15.4146i 0.132132 0.578908i −0.864902 0.501941i \(-0.832619\pi\)
0.997034 0.0769666i \(-0.0245235\pi\)
\(710\) −19.0278 2.86797i −0.714099 0.107633i
\(711\) 47.3822 8.95998i 1.77697 0.336026i
\(712\) 36.7960 39.6566i 1.37899 1.48620i
\(713\) −9.52273 + 2.93737i −0.356629 + 0.110005i
\(714\) 24.2255 + 25.9971i 0.906615 + 0.972918i
\(715\) −5.09125 1.57044i −0.190402 0.0587312i
\(716\) −81.2758 + 46.9246i −3.03742 + 1.75366i
\(717\) 19.6012 16.2385i 0.732019 0.606436i
\(718\) −65.2654 20.1317i −2.43568 0.751308i
\(719\) −8.20207 + 5.59208i −0.305886 + 0.208549i −0.706528 0.707685i \(-0.749739\pi\)
0.400642 + 0.916235i \(0.368787\pi\)
\(720\) 16.9792 + 19.7344i 0.632776 + 0.735457i
\(721\) −33.5964 + 7.08677i −1.25120 + 0.263925i
\(722\) −17.1676 6.73779i −0.638912 0.250754i
\(723\) 20.2723 + 15.5572i 0.753933 + 0.578577i
\(724\) 36.0675 28.7629i 1.34044 1.06896i
\(725\) −7.57610 + 15.7319i −0.281369 + 0.584269i
\(726\) −25.7929 14.2570i −0.957265 0.529128i
\(727\) 2.41502 3.54219i 0.0895683 0.131373i −0.778839 0.627223i \(-0.784191\pi\)
0.868408 + 0.495851i \(0.165144\pi\)
\(728\) −44.5867 7.47511i −1.65249 0.277046i
\(729\) −22.8661 + 14.3576i −0.846894 + 0.531762i
\(730\) −0.936893 + 12.5020i −0.0346760 + 0.462719i
\(731\) 5.25223 + 4.87336i 0.194261 + 0.180248i
\(732\) −51.7182 + 4.84701i −1.91156 + 0.179151i
\(733\) 6.31179 + 2.47720i 0.233131 + 0.0914973i 0.479031 0.877798i \(-0.340988\pi\)
−0.245900 + 0.969295i \(0.579083\pi\)
\(734\) 32.1689 55.7182i 1.18738 2.05660i
\(735\) −11.1070 5.54684i −0.409686 0.204598i
\(736\) −5.81987 10.0803i −0.214523 0.371565i
\(737\) −2.75761 18.2955i −0.101578 0.673924i
\(738\) 63.3725 + 63.3860i 2.33278 + 2.33327i
\(739\) 6.95172 2.14432i 0.255723 0.0788801i −0.164243 0.986420i \(-0.552518\pi\)
0.419966 + 0.907540i \(0.362042\pi\)
\(740\) 39.0834 18.8216i 1.43674 0.691896i
\(741\) −21.0788 6.07392i −0.774350 0.223131i
\(742\) −4.09794 19.4272i −0.150440 0.713195i
\(743\) 21.3099 + 1.59695i 0.781784 + 0.0585866i 0.459641 0.888105i \(-0.347978\pi\)
0.322142 + 0.946691i \(0.395597\pi\)
\(744\) 42.7172 + 70.9015i 1.56609 + 2.59938i
\(745\) 5.38325 + 7.89577i 0.197227 + 0.289279i
\(746\) −13.1605 5.16512i −0.481841 0.189109i
\(747\) 0.784283 0.0292624i 0.0286954 0.00107065i
\(748\) −23.0294 + 18.3653i −0.842038 + 0.671503i
\(749\) −1.02725 0.422867i −0.0375350 0.0154512i
\(750\) −35.1225 + 21.1608i −1.28249 + 0.772684i
\(751\) −1.21302 16.1867i −0.0442639 0.590660i −0.974600 0.223953i \(-0.928104\pi\)
0.930336 0.366708i \(-0.119515\pi\)
\(752\) −10.1582 44.5061i −0.370432 1.62297i
\(753\) 0.305726 0.823824i 0.0111413 0.0300218i
\(754\) 28.2715i 1.02959i
\(755\) −0.157630 0.690622i −0.00573674 0.0251343i
\(756\) 48.7564 + 41.7861i 1.77325 + 1.51975i
\(757\) 3.98659 17.4664i 0.144895 0.634826i −0.849362 0.527810i \(-0.823013\pi\)
0.994257 0.107016i \(-0.0341296\pi\)
\(758\) 87.2410 + 19.9122i 3.16874 + 0.723243i
\(759\) −2.70065 4.48251i −0.0980275 0.162705i
\(760\) 22.5165 28.2348i 0.816760 1.02418i
\(761\) −20.8829 + 6.44152i −0.757004 + 0.233505i −0.649149 0.760662i \(-0.724875\pi\)
−0.107856 + 0.994167i \(0.534398\pi\)
\(762\) −51.9644 + 79.3576i −1.88247 + 2.87482i
\(763\) −28.2383 + 13.0290i −1.02229 + 0.471683i
\(764\) −70.2402 + 16.0319i −2.54120 + 0.580013i
\(765\) −8.70562 + 3.04519i −0.314752 + 0.110099i
\(766\) −70.1566 + 40.5049i −2.53486 + 1.46350i
\(767\) −11.0595 + 35.8541i −0.399336 + 1.29462i
\(768\) 29.1251 28.0527i 1.05096 1.01226i
\(769\) −24.5843 + 9.64863i −0.886532 + 0.347938i −0.764527 0.644591i \(-0.777028\pi\)
−0.122005 + 0.992529i \(0.538932\pi\)
\(770\) 7.55797 12.6055i 0.272370 0.454272i
\(771\) 23.7996 + 21.2709i 0.857120 + 0.766051i
\(772\) 6.10704 + 26.7567i 0.219797 + 0.962995i