Properties

Label 483.2.bf.a.19.4
Level $483$
Weight $2$
Character 483.19
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 19.4
Character \(\chi\) \(=\) 483.19
Dual form 483.2.bf.a.178.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.39951 - 0.229125i) q^{2} +(0.690079 - 0.723734i) q^{3} +(3.74129 + 0.721074i) q^{4} +(1.30345 - 0.671976i) q^{5} +(-1.82168 + 1.57849i) q^{6} +(-2.17813 + 1.50191i) q^{7} +(-4.18647 - 1.22926i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +O(q^{10})\) \(q+(-2.39951 - 0.229125i) q^{2} +(0.690079 - 0.723734i) q^{3} +(3.74129 + 0.721074i) q^{4} +(1.30345 - 0.671976i) q^{5} +(-1.82168 + 1.57849i) q^{6} +(-2.17813 + 1.50191i) q^{7} +(-4.18647 - 1.22926i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +(-3.28161 + 1.31376i) q^{10} +(-0.0780550 - 0.817429i) q^{11} +(3.10365 - 2.21010i) q^{12} +(5.79223 + 0.832796i) q^{13} +(5.57057 - 3.10479i) q^{14} +(0.413153 - 1.40707i) q^{15} +(2.68938 + 1.07667i) q^{16} +(2.49870 - 7.21951i) q^{17} +(-0.114693 + 2.40769i) q^{18} +(1.23391 + 3.56516i) q^{19} +(5.36113 - 1.57417i) q^{20} +(-0.416096 + 2.61283i) q^{21} +1.97931i q^{22} +(-4.76857 + 0.510610i) q^{23} +(-3.77865 + 2.18160i) q^{24} +(-1.65285 + 2.32110i) q^{25} +(-13.7077 - 3.32545i) q^{26} +(-0.755750 - 0.654861i) q^{27} +(-9.23200 + 4.04850i) q^{28} +(3.34156 + 3.85636i) q^{29} +(-1.31376 + 3.28161i) q^{30} +(8.23822 - 1.99857i) q^{31} +(1.54984 + 0.798998i) q^{32} +(-0.645465 - 0.507599i) q^{33} +(-7.64982 + 16.7508i) q^{34} +(-1.82984 + 3.42133i) q^{35} +(0.542240 - 3.77136i) q^{36} +(2.58444 - 0.123112i) q^{37} +(-2.14392 - 8.83735i) q^{38} +(4.59982 - 3.61734i) q^{39} +(-6.28289 + 1.21093i) q^{40} +(6.49868 - 10.1121i) q^{41} +(1.59709 - 6.17416i) q^{42} +(-2.74150 - 9.33669i) q^{43} +(0.297400 - 3.11452i) q^{44} +(-0.733236 - 1.27000i) q^{45} +(11.5592 - 0.132612i) q^{46} +(-7.78999 - 4.49755i) q^{47} +(2.63511 - 1.20341i) q^{48} +(2.48851 - 6.54273i) q^{49} +(4.49785 - 5.19079i) q^{50} +(-3.50071 - 6.79043i) q^{51} +(21.0699 + 7.29235i) q^{52} +(3.23622 + 4.11519i) q^{53} +(1.66338 + 1.74451i) q^{54} +(-0.651034 - 1.01303i) q^{55} +(10.9649 - 3.61023i) q^{56} +(3.43172 + 1.56722i) q^{57} +(-7.13451 - 10.0190i) q^{58} +(3.62212 + 9.04761i) q^{59} +(2.56032 - 4.96634i) q^{60} +(0.0304358 - 0.0290205i) q^{61} +(-20.2256 + 2.90800i) q^{62} +(1.60385 + 2.10420i) q^{63} +(-8.40983 - 5.40467i) q^{64} +(8.10951 - 2.80673i) q^{65} +(1.43250 + 1.36588i) q^{66} +(2.50365 + 1.78284i) q^{67} +(14.5541 - 25.2085i) q^{68} +(-2.92115 + 3.80354i) q^{69} +(5.17463 - 7.79024i) q^{70} +(-1.17783 - 2.57909i) q^{71} +(-1.02866 + 4.24021i) q^{72} +(2.54318 - 13.1953i) q^{73} +(-6.22959 - 0.296752i) q^{74} +(0.539264 + 2.79797i) q^{75} +(2.04568 + 14.2280i) q^{76} +(1.39772 + 1.66323i) q^{77} +(-11.8661 + 7.62590i) q^{78} +(0.619863 - 0.788220i) q^{79} +(4.22898 - 0.403818i) q^{80} +(-0.995472 + 0.0950560i) q^{81} +(-17.9106 + 22.7752i) q^{82} +(8.62361 - 5.54206i) q^{83} +(-3.44078 + 9.47530i) q^{84} +(-1.59441 - 11.0894i) q^{85} +(4.43898 + 23.0316i) q^{86} +(5.09692 + 0.242796i) q^{87} +(-0.678056 + 3.51809i) q^{88} +(-1.40662 + 5.79815i) q^{89} +(1.46842 + 3.21538i) q^{90} +(-13.8670 + 6.88549i) q^{91} +(-18.2088 - 1.52816i) q^{92} +(4.23859 - 7.34145i) q^{93} +(17.6617 + 12.5768i) q^{94} +(4.00405 + 3.81785i) q^{95} +(1.64777 - 0.570300i) q^{96} +(-3.43605 - 2.20822i) q^{97} +(-7.47030 + 15.1292i) q^{98} +(-0.812789 + 0.116861i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{15}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.39951 0.229125i −1.69671 0.162016i −0.798622 0.601833i \(-0.794437\pi\)
−0.898087 + 0.439817i \(0.855043\pi\)
\(3\) 0.690079 0.723734i 0.398417 0.417848i
\(4\) 3.74129 + 0.721074i 1.87064 + 0.360537i
\(5\) 1.30345 0.671976i 0.582922 0.300517i −0.141429 0.989948i \(-0.545170\pi\)
0.724351 + 0.689431i \(0.242140\pi\)
\(6\) −1.82168 + 1.57849i −0.743696 + 0.644417i
\(7\) −2.17813 + 1.50191i −0.823256 + 0.567670i
\(8\) −4.18647 1.22926i −1.48014 0.434608i
\(9\) −0.0475819 0.998867i −0.0158606 0.332956i
\(10\) −3.28161 + 1.31376i −1.03774 + 0.415447i
\(11\) −0.0780550 0.817429i −0.0235345 0.246464i −0.999582 0.0289071i \(-0.990797\pi\)
0.976048 0.217557i \(-0.0698088\pi\)
\(12\) 3.10365 2.21010i 0.895946 0.638001i
\(13\) 5.79223 + 0.832796i 1.60647 + 0.230976i 0.886400 0.462920i \(-0.153198\pi\)
0.720075 + 0.693897i \(0.244108\pi\)
\(14\) 5.57057 3.10479i 1.48880 0.829790i
\(15\) 0.413153 1.40707i 0.106676 0.363304i
\(16\) 2.68938 + 1.07667i 0.672346 + 0.269167i
\(17\) 2.49870 7.21951i 0.606023 1.75099i −0.0527074 0.998610i \(-0.516785\pi\)
0.658731 0.752379i \(-0.271094\pi\)
\(18\) −0.114693 + 2.40769i −0.0270333 + 0.567499i
\(19\) 1.23391 + 3.56516i 0.283079 + 0.817903i 0.993470 + 0.114096i \(0.0363971\pi\)
−0.710391 + 0.703808i \(0.751482\pi\)
\(20\) 5.36113 1.57417i 1.19879 0.351995i
\(21\) −0.416096 + 2.61283i −0.0907996 + 0.570166i
\(22\) 1.97931i 0.421991i
\(23\) −4.76857 + 0.510610i −0.994316 + 0.106469i
\(24\) −3.77865 + 2.18160i −0.771313 + 0.445318i
\(25\) −1.65285 + 2.32110i −0.330570 + 0.464220i
\(26\) −13.7077 3.32545i −2.68830 0.652174i
\(27\) −0.755750 0.654861i −0.145444 0.126028i
\(28\) −9.23200 + 4.04850i −1.74468 + 0.765094i
\(29\) 3.34156 + 3.85636i 0.620512 + 0.716109i 0.975804 0.218646i \(-0.0701641\pi\)
−0.355292 + 0.934755i \(0.615619\pi\)
\(30\) −1.31376 + 3.28161i −0.239859 + 0.599138i
\(31\) 8.23822 1.99857i 1.47963 0.358954i 0.586940 0.809630i \(-0.300332\pi\)
0.892687 + 0.450677i \(0.148817\pi\)
\(32\) 1.54984 + 0.798998i 0.273976 + 0.141244i
\(33\) −0.645465 0.507599i −0.112361 0.0883617i
\(34\) −7.64982 + 16.7508i −1.31193 + 2.87273i
\(35\) −1.82984 + 3.42133i −0.309299 + 0.578310i
\(36\) 0.542240 3.77136i 0.0903733 0.628560i
\(37\) 2.58444 0.123112i 0.424879 0.0202395i 0.165946 0.986135i \(-0.446932\pi\)
0.258933 + 0.965895i \(0.416629\pi\)
\(38\) −2.14392 8.83735i −0.347789 1.43361i
\(39\) 4.59982 3.61734i 0.736560 0.579237i
\(40\) −6.28289 + 1.21093i −0.993412 + 0.191465i
\(41\) 6.49868 10.1121i 1.01492 1.57925i 0.217291 0.976107i \(-0.430278\pi\)
0.797632 0.603144i \(-0.206086\pi\)
\(42\) 1.59709 6.17416i 0.246436 0.952694i
\(43\) −2.74150 9.33669i −0.418075 1.42383i −0.852312 0.523034i \(-0.824800\pi\)
0.434237 0.900799i \(-0.357018\pi\)
\(44\) 0.297400 3.11452i 0.0448348 0.469531i
\(45\) −0.733236 1.27000i −0.109304 0.189321i
\(46\) 11.5592 0.132612i 1.70431 0.0195526i
\(47\) −7.78999 4.49755i −1.13629 0.656036i −0.190779 0.981633i \(-0.561101\pi\)
−0.945509 + 0.325597i \(0.894435\pi\)
\(48\) 2.63511 1.20341i 0.380345 0.173698i
\(49\) 2.48851 6.54273i 0.355501 0.934676i
\(50\) 4.49785 5.19079i 0.636092 0.734089i
\(51\) −3.50071 6.79043i −0.490197 0.950850i
\(52\) 21.0699 + 7.29235i 2.92187 + 1.01127i
\(53\) 3.23622 + 4.11519i 0.444530 + 0.565265i 0.955748 0.294185i \(-0.0950482\pi\)
−0.511219 + 0.859451i \(0.670806\pi\)
\(54\) 1.66338 + 1.74451i 0.226358 + 0.237397i
\(55\) −0.651034 1.01303i −0.0877854 0.136597i
\(56\) 10.9649 3.61023i 1.46525 0.482437i
\(57\) 3.43172 + 1.56722i 0.454543 + 0.207583i
\(58\) −7.13451 10.0190i −0.936807 1.31556i
\(59\) 3.62212 + 9.04761i 0.471559 + 1.17790i 0.953419 + 0.301650i \(0.0975373\pi\)
−0.481860 + 0.876248i \(0.660038\pi\)
\(60\) 2.56032 4.96634i 0.330537 0.641151i
\(61\) 0.0304358 0.0290205i 0.00389690 0.00371569i −0.688128 0.725589i \(-0.741567\pi\)
0.692025 + 0.721874i \(0.256719\pi\)
\(62\) −20.2256 + 2.90800i −2.56865 + 0.369317i
\(63\) 1.60385 + 2.10420i 0.202066 + 0.265104i
\(64\) −8.40983 5.40467i −1.05123 0.675583i
\(65\) 8.10951 2.80673i 1.00586 0.348132i
\(66\) 1.43250 + 1.36588i 0.176328 + 0.168128i
\(67\) 2.50365 + 1.78284i 0.305870 + 0.217809i 0.722677 0.691186i \(-0.242911\pi\)
−0.416807 + 0.908995i \(0.636851\pi\)
\(68\) 14.5541 25.2085i 1.76495 3.05698i
\(69\) −2.92115 + 3.80354i −0.351665 + 0.457892i
\(70\) 5.17463 7.79024i 0.618486 0.931112i
\(71\) −1.17783 2.57909i −0.139783 0.306082i 0.826774 0.562534i \(-0.190174\pi\)
−0.966557 + 0.256453i \(0.917446\pi\)
\(72\) −1.02866 + 4.24021i −0.121229 + 0.499714i
\(73\) 2.54318 13.1953i 0.297656 1.54439i −0.457720 0.889096i \(-0.651334\pi\)
0.755376 0.655291i \(-0.227454\pi\)
\(74\) −6.22959 0.296752i −0.724175 0.0344967i
\(75\) 0.539264 + 2.79797i 0.0622688 + 0.323081i
\(76\) 2.04568 + 14.2280i 0.234656 + 1.63207i
\(77\) 1.39772 + 1.66323i 0.159285 + 0.189543i
\(78\) −11.8661 + 7.62590i −1.34357 + 0.863463i
\(79\) 0.619863 0.788220i 0.0697400 0.0886816i −0.749931 0.661516i \(-0.769914\pi\)
0.819671 + 0.572834i \(0.194156\pi\)
\(80\) 4.22898 0.403818i 0.472814 0.0451483i
\(81\) −0.995472 + 0.0950560i −0.110608 + 0.0105618i
\(82\) −17.9106 + 22.7752i −1.97789 + 2.51510i
\(83\) 8.62361 5.54206i 0.946564 0.608320i 0.0263153 0.999654i \(-0.491623\pi\)
0.920249 + 0.391334i \(0.127986\pi\)
\(84\) −3.44078 + 9.47530i −0.375419 + 1.03384i
\(85\) −1.59441 11.0894i −0.172938 1.20281i
\(86\) 4.43898 + 23.0316i 0.478668 + 2.48356i
\(87\) 5.09692 + 0.242796i 0.546447 + 0.0260305i
\(88\) −0.678056 + 3.51809i −0.0722810 + 0.375029i
\(89\) −1.40662 + 5.79815i −0.149101 + 0.614602i 0.847395 + 0.530963i \(0.178170\pi\)
−0.996496 + 0.0836396i \(0.973346\pi\)
\(90\) 1.46842 + 3.21538i 0.154785 + 0.338931i
\(91\) −13.8670 + 6.88549i −1.45366 + 0.721795i
\(92\) −18.2088 1.52816i −1.89840 0.159321i
\(93\) 4.23859 7.34145i 0.439521 0.761273i
\(94\) 17.6617 + 12.5768i 1.82166 + 1.29720i
\(95\) 4.00405 + 3.81785i 0.410807 + 0.391703i
\(96\) 1.64777 0.570300i 0.168175 0.0582060i
\(97\) −3.43605 2.20822i −0.348878 0.224210i 0.354451 0.935074i \(-0.384668\pi\)
−0.703329 + 0.710864i \(0.748304\pi\)
\(98\) −7.47030 + 15.1292i −0.754614 + 1.52828i
\(99\) −0.812789 + 0.116861i −0.0816884 + 0.0117450i
\(100\) −7.85747 + 7.49208i −0.785747 + 0.749208i
\(101\) −2.89235 + 5.61037i −0.287799 + 0.558252i −0.987770 0.155919i \(-0.950166\pi\)
0.699971 + 0.714172i \(0.253196\pi\)
\(102\) 6.84412 + 17.0958i 0.677669 + 1.69274i
\(103\) −0.122190 0.171592i −0.0120397 0.0169075i 0.808512 0.588479i \(-0.200273\pi\)
−0.820552 + 0.571572i \(0.806334\pi\)
\(104\) −23.2252 10.6066i −2.27742 1.04006i
\(105\) 1.21340 + 3.68530i 0.118415 + 0.359649i
\(106\) −6.82245 10.6159i −0.662655 1.03111i
\(107\) −4.10786 4.30820i −0.397122 0.416489i 0.494566 0.869140i \(-0.335327\pi\)
−0.891688 + 0.452651i \(0.850478\pi\)
\(108\) −2.35527 2.99497i −0.226636 0.288191i
\(109\) 0.358748 + 0.124164i 0.0343618 + 0.0118927i 0.344195 0.938898i \(-0.388152\pi\)
−0.309833 + 0.950791i \(0.600273\pi\)
\(110\) 1.33005 + 2.57994i 0.126815 + 0.245987i
\(111\) 1.69437 1.95540i 0.160822 0.185599i
\(112\) −7.47489 + 1.69410i −0.706310 + 0.160078i
\(113\) −10.7744 + 4.92051i −1.01357 + 0.462883i −0.851756 0.523938i \(-0.824462\pi\)
−0.161815 + 0.986821i \(0.551735\pi\)
\(114\) −7.87536 4.54684i −0.737595 0.425851i
\(115\) −5.87249 + 3.86992i −0.547612 + 0.360872i
\(116\) 9.72101 + 16.8373i 0.902573 + 1.56330i
\(117\) 0.556248 5.82529i 0.0514251 0.538548i
\(118\) −6.61826 22.5397i −0.609260 2.07495i
\(119\) 5.40060 + 19.4779i 0.495072 + 1.78553i
\(120\) −3.45930 + 5.38278i −0.315790 + 0.491378i
\(121\) 10.1391 1.95415i 0.921738 0.177650i
\(122\) −0.0796803 + 0.0626612i −0.00721391 + 0.00567308i
\(123\) −2.83390 11.6815i −0.255524 1.05328i
\(124\) 32.2626 1.53686i 2.89727 0.138014i
\(125\) −1.63819 + 11.3938i −0.146524 + 1.01910i
\(126\) −3.36633 5.41653i −0.299897 0.482543i
\(127\) −2.32067 + 5.08156i −0.205926 + 0.450916i −0.984212 0.176995i \(-0.943362\pi\)
0.778286 + 0.627911i \(0.216090\pi\)
\(128\) 16.1999 + 12.7397i 1.43188 + 1.12604i
\(129\) −8.64913 4.45894i −0.761514 0.392588i
\(130\) −20.1019 + 4.87668i −1.76306 + 0.427713i
\(131\) −0.717831 + 1.79305i −0.0627172 + 0.156660i −0.956416 0.292007i \(-0.905677\pi\)
0.893699 + 0.448667i \(0.148101\pi\)
\(132\) −2.04885 2.36450i −0.178330 0.205804i
\(133\) −8.04219 5.91215i −0.697346 0.512648i
\(134\) −5.59904 4.85160i −0.483684 0.419114i
\(135\) −1.42513 0.345734i −0.122656 0.0297560i
\(136\) −19.3353 + 27.1527i −1.65799 + 2.32832i
\(137\) −10.4563 + 6.03695i −0.893343 + 0.515772i −0.875034 0.484061i \(-0.839161\pi\)
−0.0183083 + 0.999832i \(0.505828\pi\)
\(138\) 7.88080 8.45732i 0.670858 0.719935i
\(139\) 18.3529i 1.55667i 0.627848 + 0.778336i \(0.283936\pi\)
−0.627848 + 0.778336i \(0.716064\pi\)
\(140\) −9.31298 + 11.4807i −0.787091 + 0.970297i
\(141\) −8.63074 + 2.53421i −0.726840 + 0.213419i
\(142\) 2.23528 + 6.45842i 0.187581 + 0.541979i
\(143\) 0.228640 4.79974i 0.0191198 0.401374i
\(144\) 0.947481 2.73757i 0.0789567 0.228130i
\(145\) 6.94695 + 2.78114i 0.576913 + 0.230961i
\(146\) −9.12574 + 31.0794i −0.755252 + 2.57215i
\(147\) −3.01793 6.31602i −0.248915 0.520936i
\(148\) 9.75790 + 1.40297i 0.802095 + 0.115324i
\(149\) −10.5233 + 7.49363i −0.862105 + 0.613902i −0.923238 0.384228i \(-0.874468\pi\)
0.0611336 + 0.998130i \(0.480528\pi\)
\(150\) −0.652883 6.83730i −0.0533077 0.558264i
\(151\) 6.89796 2.76153i 0.561348 0.224730i −0.0735960 0.997288i \(-0.523448\pi\)
0.634944 + 0.772558i \(0.281023\pi\)
\(152\) −0.783239 16.4422i −0.0635291 1.33364i
\(153\) −7.33023 2.15235i −0.592614 0.174007i
\(154\) −2.97276 4.31120i −0.239552 0.347406i
\(155\) 9.39513 8.14093i 0.754635 0.653895i
\(156\) 19.8176 10.2167i 1.58668 0.817989i
\(157\) −0.882708 0.170128i −0.0704478 0.0135777i 0.153906 0.988086i \(-0.450815\pi\)
−0.224353 + 0.974508i \(0.572027\pi\)
\(158\) −1.66797 + 1.74931i −0.132696 + 0.139168i
\(159\) 5.21156 + 0.497643i 0.413303 + 0.0394657i
\(160\) 2.55705 0.202153
\(161\) 9.61968 8.27416i 0.758137 0.652095i
\(162\) 2.41042 0.189381
\(163\) −1.64394 0.156977i −0.128763 0.0122954i 0.0304755 0.999536i \(-0.490298\pi\)
−0.159239 + 0.987240i \(0.550904\pi\)
\(164\) 31.6050 33.1464i 2.46794 2.58830i
\(165\) −1.18243 0.227894i −0.0920519 0.0177415i
\(166\) −21.9623 + 11.3223i −1.70460 + 0.878783i
\(167\) 1.60363 1.38956i 0.124093 0.107527i −0.590604 0.806962i \(-0.701110\pi\)
0.714696 + 0.699435i \(0.246565\pi\)
\(168\) 4.95381 10.4270i 0.382195 0.804462i
\(169\) 20.3829 + 5.98497i 1.56792 + 0.460382i
\(170\) 1.28495 + 26.9743i 0.0985508 + 2.06884i
\(171\) 3.50241 1.40215i 0.267836 0.107225i
\(172\) −3.52429 36.9081i −0.268725 2.81421i
\(173\) −4.60051 + 3.27601i −0.349770 + 0.249070i −0.741416 0.671046i \(-0.765845\pi\)
0.391646 + 0.920116i \(0.371906\pi\)
\(174\) −12.1745 1.75043i −0.922945 0.132699i
\(175\) 0.114026 7.53810i 0.00861956 0.569827i
\(176\) 0.670178 2.28242i 0.0505166 0.172044i
\(177\) 9.04761 + 3.62212i 0.680060 + 0.272255i
\(178\) 4.70369 13.5904i 0.352556 1.01864i
\(179\) −0.386237 + 8.10810i −0.0288687 + 0.606028i 0.937363 + 0.348354i \(0.113259\pi\)
−0.966232 + 0.257674i \(0.917044\pi\)
\(180\) −1.82748 5.28016i −0.136212 0.393560i
\(181\) −5.88315 + 1.72745i −0.437291 + 0.128400i −0.492966 0.870049i \(-0.664087\pi\)
0.0556745 + 0.998449i \(0.482269\pi\)
\(182\) 34.8517 13.3445i 2.58338 0.989160i
\(183\) 0.0420538i 0.00310871i
\(184\) 20.5911 + 3.72415i 1.51800 + 0.274548i
\(185\) 3.28596 1.89715i 0.241589 0.139481i
\(186\) −11.8526 + 16.6447i −0.869078 + 1.22045i
\(187\) −6.09647 1.47899i −0.445818 0.108154i
\(188\) −25.9015 22.4438i −1.88906 1.63688i
\(189\) 2.62967 + 0.291301i 0.191280 + 0.0211891i
\(190\) −8.73298 10.0784i −0.633557 0.731164i
\(191\) −2.28694 + 5.71251i −0.165477 + 0.413343i −0.987810 0.155665i \(-0.950248\pi\)
0.822333 + 0.569007i \(0.192672\pi\)
\(192\) −9.71499 + 2.35683i −0.701119 + 0.170090i
\(193\) −1.53722 0.792494i −0.110652 0.0570450i 0.402012 0.915634i \(-0.368311\pi\)
−0.512664 + 0.858589i \(0.671341\pi\)
\(194\) 7.73887 + 6.08592i 0.555619 + 0.436943i
\(195\) 3.56488 7.80599i 0.255286 0.558999i
\(196\) 14.0280 22.6838i 1.00200 1.62027i
\(197\) −1.19167 + 8.28828i −0.0849033 + 0.590516i 0.902307 + 0.431094i \(0.141872\pi\)
−0.987211 + 0.159422i \(0.949037\pi\)
\(198\) 1.97707 0.0941794i 0.140504 0.00669304i
\(199\) 4.99693 + 20.5976i 0.354223 + 1.46013i 0.818536 + 0.574455i \(0.194786\pi\)
−0.464313 + 0.885671i \(0.653699\pi\)
\(200\) 9.77283 7.68543i 0.691043 0.543442i
\(201\) 3.01802 0.581676i 0.212875 0.0410283i
\(202\) 8.22569 12.7994i 0.578757 0.900564i
\(203\) −13.0703 3.38093i −0.917354 0.237295i
\(204\) −8.20075 27.9292i −0.574168 1.95544i
\(205\) 1.67560 17.5477i 0.117029 1.22558i
\(206\) 0.253880 + 0.439733i 0.0176887 + 0.0306377i
\(207\) 0.736929 + 4.73887i 0.0512201 + 0.329375i
\(208\) 14.6809 + 8.47600i 1.01793 + 0.587705i
\(209\) 2.81795 1.28691i 0.194922 0.0890177i
\(210\) −2.06716 9.12093i −0.142648 0.629404i
\(211\) −16.6263 + 19.1878i −1.14460 + 1.32094i −0.204969 + 0.978769i \(0.565709\pi\)
−0.939636 + 0.342176i \(0.888836\pi\)
\(212\) 9.14028 + 17.7297i 0.627757 + 1.21768i
\(213\) −2.67937 0.927340i −0.183588 0.0635403i
\(214\) 8.86973 + 11.2788i 0.606322 + 0.771001i
\(215\) −9.84745 10.3277i −0.671591 0.704344i
\(216\) 2.35893 + 3.67056i 0.160505 + 0.249750i
\(217\) −14.9422 + 16.7262i −1.01434 + 1.13545i
\(218\) −0.832370 0.380131i −0.0563752 0.0257457i
\(219\) −7.79486 10.9464i −0.526728 0.739686i
\(220\) −1.70524 4.25947i −0.114967 0.287174i
\(221\) 20.4854 39.7361i 1.37800 2.67294i
\(222\) −4.51368 + 4.30379i −0.302938 + 0.288851i
\(223\) 6.43349 0.924997i 0.430819 0.0619424i 0.0765054 0.997069i \(-0.475624\pi\)
0.354313 + 0.935127i \(0.384715\pi\)
\(224\) −4.57578 + 0.587404i −0.305732 + 0.0392476i
\(225\) 2.39712 + 1.54053i 0.159808 + 0.102702i
\(226\) 26.9807 9.33812i 1.79473 0.621162i
\(227\) 3.04814 + 2.90639i 0.202312 + 0.192904i 0.784461 0.620178i \(-0.212940\pi\)
−0.582149 + 0.813082i \(0.697788\pi\)
\(228\) 11.7090 + 8.33793i 0.775446 + 0.552193i
\(229\) 4.04118 6.99953i 0.267049 0.462542i −0.701050 0.713112i \(-0.747285\pi\)
0.968098 + 0.250571i \(0.0806182\pi\)
\(230\) 14.9778 7.94038i 0.987606 0.523573i
\(231\) 2.16828 + 0.136185i 0.142662 + 0.00896029i
\(232\) −9.24886 20.2522i −0.607217 1.32962i
\(233\) −1.06003 + 4.36949i −0.0694446 + 0.286254i −0.995936 0.0900607i \(-0.971294\pi\)
0.926492 + 0.376315i \(0.122809\pi\)
\(234\) −2.66944 + 13.8504i −0.174507 + 0.905428i
\(235\) −13.1761 0.627657i −0.859516 0.0409438i
\(236\) 7.02738 + 36.4615i 0.457443 + 2.37344i
\(237\) −0.142707 0.992550i −0.00926982 0.0644730i
\(238\) −8.49591 47.9747i −0.550708 3.10974i
\(239\) 11.7650 7.56093i 0.761017 0.489076i −0.101668 0.994818i \(-0.532418\pi\)
0.862684 + 0.505743i \(0.168782\pi\)
\(240\) 2.62607 3.33932i 0.169512 0.215552i
\(241\) −5.47153 + 0.522468i −0.352452 + 0.0336551i −0.269781 0.962922i \(-0.586951\pi\)
−0.0826714 + 0.996577i \(0.526345\pi\)
\(242\) −24.7767 + 2.36588i −1.59270 + 0.152085i
\(243\) −0.618159 + 0.786053i −0.0396549 + 0.0504253i
\(244\) 0.134795 0.0866274i 0.00862936 0.00554575i
\(245\) −1.15291 10.2004i −0.0736567 0.651677i
\(246\) 4.12344 + 28.6792i 0.262901 + 1.82852i
\(247\) 4.17805 + 21.6778i 0.265843 + 1.37933i
\(248\) −36.9458 1.75994i −2.34606 0.111757i
\(249\) 1.94000 10.0657i 0.122942 0.637885i
\(250\) 6.54147 26.9643i 0.413719 1.70537i
\(251\) −0.289421 0.633744i −0.0182681 0.0400015i 0.900278 0.435315i \(-0.143363\pi\)
−0.918546 + 0.395314i \(0.870636\pi\)
\(252\) 4.48319 + 9.02891i 0.282414 + 0.568768i
\(253\) 0.789598 + 3.85811i 0.0496416 + 0.242557i
\(254\) 6.73278 11.6615i 0.422452 0.731709i
\(255\) −9.12601 6.49860i −0.571493 0.406958i
\(256\) −21.4827 20.4837i −1.34267 1.28023i
\(257\) −16.5400 + 5.72454i −1.03173 + 0.357087i −0.789903 0.613231i \(-0.789869\pi\)
−0.241832 + 0.970318i \(0.577748\pi\)
\(258\) 19.7320 + 12.6810i 1.22846 + 0.789484i
\(259\) −5.44434 + 4.14976i −0.338295 + 0.257854i
\(260\) 32.3639 4.65322i 2.00712 0.288581i
\(261\) 3.69300 3.52127i 0.228591 0.217961i
\(262\) 2.13328 4.13798i 0.131794 0.255645i
\(263\) −8.21725 20.5257i −0.506697 1.26567i −0.932604 0.360902i \(-0.882469\pi\)
0.425907 0.904767i \(-0.359955\pi\)
\(264\) 2.07825 + 2.91849i 0.127907 + 0.179621i
\(265\) 6.98358 + 3.18929i 0.428998 + 0.195917i
\(266\) 17.9427 + 16.0289i 1.10014 + 0.982796i
\(267\) 3.22564 + 5.01920i 0.197406 + 0.307170i
\(268\) 8.08132 + 8.47545i 0.493645 + 0.517720i
\(269\) 13.3284 + 16.9484i 0.812645 + 1.03336i 0.998708 + 0.0508240i \(0.0161848\pi\)
−0.186063 + 0.982538i \(0.559573\pi\)
\(270\) 3.34041 + 1.15613i 0.203291 + 0.0703596i
\(271\) 2.44551 + 4.74364i 0.148554 + 0.288155i 0.951358 0.308089i \(-0.0996893\pi\)
−0.802803 + 0.596244i \(0.796659\pi\)
\(272\) 14.4930 16.7258i 0.878765 1.01415i
\(273\) −4.58608 + 14.7876i −0.277562 + 0.894984i
\(274\) 26.4732 12.0899i 1.59931 0.730379i
\(275\) 2.02635 + 1.16991i 0.122193 + 0.0705484i
\(276\) −13.6715 + 12.1238i −0.822926 + 0.729765i
\(277\) 15.2858 + 26.4758i 0.918434 + 1.59077i 0.801794 + 0.597601i \(0.203879\pi\)
0.116641 + 0.993174i \(0.462787\pi\)
\(278\) 4.20511 44.0379i 0.252206 2.64122i
\(279\) −2.38830 8.13379i −0.142984 0.486957i
\(280\) 11.8662 12.0739i 0.709144 0.721555i
\(281\) 1.31778 2.05050i 0.0786121 0.122323i −0.799721 0.600371i \(-0.795019\pi\)
0.878333 + 0.478049i \(0.158656\pi\)
\(282\) 21.2902 4.10335i 1.26781 0.244351i
\(283\) −18.2401 + 14.3442i −1.08426 + 0.852675i −0.989745 0.142848i \(-0.954374\pi\)
−0.0945195 + 0.995523i \(0.530131\pi\)
\(284\) −2.54689 10.4984i −0.151130 0.622967i
\(285\) 5.52622 0.263246i 0.327345 0.0155934i
\(286\) −1.64836 + 11.4646i −0.0974698 + 0.677917i
\(287\) 1.03260 + 31.7860i 0.0609522 + 1.87627i
\(288\) 0.724349 1.58610i 0.0426827 0.0934620i
\(289\) −32.5150 25.5701i −1.91264 1.50412i
\(290\) −16.0320 8.26509i −0.941433 0.485343i
\(291\) −3.96931 + 0.962943i −0.232685 + 0.0564487i
\(292\) 19.0295 47.5334i 1.11362 2.78168i
\(293\) 1.21452 + 1.40163i 0.0709532 + 0.0818843i 0.790116 0.612957i \(-0.210020\pi\)
−0.719163 + 0.694841i \(0.755475\pi\)
\(294\) 5.79439 + 15.8468i 0.337936 + 0.924206i
\(295\) 10.8010 + 9.35915i 0.628861 + 0.544911i
\(296\) −10.9710 2.66154i −0.637677 0.154699i
\(297\) −0.476312 + 0.668887i −0.0276384 + 0.0388127i
\(298\) 26.9678 15.5699i 1.56220 0.901938i
\(299\) −28.0459 1.01368i −1.62194 0.0586228i
\(300\) 10.8568i 0.626820i
\(301\) 19.9943 + 16.2190i 1.15245 + 0.934850i
\(302\) −17.1844 + 5.04581i −0.988854 + 0.290354i
\(303\) 2.06447 + 5.96489i 0.118601 + 0.342674i
\(304\) −0.520021 + 10.9166i −0.0298253 + 0.626109i
\(305\) 0.0201705 0.0582789i 0.00115496 0.00333704i
\(306\) 17.0958 + 6.84412i 0.977301 + 0.391252i
\(307\) 2.73834 9.32593i 0.156285 0.532259i −0.843704 0.536808i \(-0.819630\pi\)
0.999990 + 0.00454923i \(0.00144807\pi\)
\(308\) 4.02996 + 7.23050i 0.229628 + 0.411996i
\(309\) −0.208508 0.0299789i −0.0118616 0.00170544i
\(310\) −24.4090 + 17.3816i −1.38634 + 0.987207i
\(311\) −0.169918 1.77946i −0.00963516 0.100904i 0.989375 0.145386i \(-0.0464424\pi\)
−0.999010 + 0.0444819i \(0.985836\pi\)
\(312\) −23.7036 + 9.48949i −1.34195 + 0.537237i
\(313\) 0.858072 + 18.0131i 0.0485011 + 1.01816i 0.883653 + 0.468143i \(0.155077\pi\)
−0.835151 + 0.550020i \(0.814620\pi\)
\(314\) 2.07908 + 0.610474i 0.117330 + 0.0344511i
\(315\) 3.50452 + 1.66497i 0.197457 + 0.0938106i
\(316\) 2.88745 2.50199i 0.162432 0.140748i
\(317\) 9.16586 4.72533i 0.514806 0.265401i −0.181188 0.983448i \(-0.557994\pi\)
0.695994 + 0.718048i \(0.254964\pi\)
\(318\) −12.3912 2.38820i −0.694861 0.133924i
\(319\) 2.89148 3.03249i 0.161892 0.169787i
\(320\) −14.5936 1.39352i −0.815808 0.0779002i
\(321\) −5.95274 −0.332249
\(322\) −24.9783 + 17.6498i −1.39199 + 0.983585i
\(323\) 28.8219 1.60369
\(324\) −3.79289 0.362177i −0.210716 0.0201209i
\(325\) −11.5067 + 12.0679i −0.638276 + 0.669404i
\(326\) 3.90867 + 0.753335i 0.216481 + 0.0417234i
\(327\) 0.337426 0.173955i 0.0186597 0.00961975i
\(328\) −39.6369 + 34.3456i −2.18858 + 1.89642i
\(329\) 23.7226 1.90364i 1.30787 0.104951i
\(330\) 2.78503 + 0.817758i 0.153311 + 0.0450161i
\(331\) −0.733362 15.3952i −0.0403092 0.846195i −0.924989 0.379995i \(-0.875926\pi\)
0.884679 0.466200i \(-0.154377\pi\)
\(332\) 36.2596 14.5162i 1.99001 0.796678i
\(333\) −0.245945 2.57565i −0.0134777 0.141145i
\(334\) −4.16631 + 2.96682i −0.227970 + 0.162337i
\(335\) 4.46142 + 0.641456i 0.243754 + 0.0350465i
\(336\) −3.93218 + 6.57889i −0.214518 + 0.358908i
\(337\) 7.79814 26.5580i 0.424792 1.44671i −0.417990 0.908452i \(-0.637265\pi\)
0.842781 0.538256i \(-0.180917\pi\)
\(338\) −47.5377 19.0312i −2.58571 1.03516i
\(339\) −3.87406 + 11.1934i −0.210410 + 0.607939i
\(340\) 2.03111 42.6381i 0.110152 2.31238i
\(341\) −2.27672 6.57816i −0.123291 0.356227i
\(342\) −8.72533 + 2.56199i −0.471812 + 0.138536i
\(343\) 4.40632 + 17.9884i 0.237919 + 0.971285i
\(344\) 42.4578i 2.28917i
\(345\) −1.25169 + 6.92067i −0.0673885 + 0.372596i
\(346\) 11.7896 6.80672i 0.633812 0.365931i
\(347\) −4.12981 + 5.79951i −0.221700 + 0.311334i −0.910413 0.413700i \(-0.864236\pi\)
0.688714 + 0.725034i \(0.258176\pi\)
\(348\) 18.8940 + 4.58363i 1.01282 + 0.245708i
\(349\) −15.0162 13.0116i −0.803797 0.696494i 0.152688 0.988274i \(-0.451207\pi\)
−0.956485 + 0.291780i \(0.905752\pi\)
\(350\) −2.00078 + 18.0616i −0.106946 + 0.965434i
\(351\) −3.83211 4.42249i −0.204543 0.236055i
\(352\) 0.532151 1.32925i 0.0283638 0.0708492i
\(353\) −18.7216 + 4.54181i −0.996450 + 0.241736i −0.700643 0.713512i \(-0.747104\pi\)
−0.295807 + 0.955248i \(0.595588\pi\)
\(354\) −20.8799 10.7643i −1.10975 0.572118i
\(355\) −3.26833 2.57025i −0.173465 0.136415i
\(356\) −9.44344 + 20.6783i −0.500502 + 1.09595i
\(357\) 17.8236 + 9.53267i 0.943327 + 0.504523i
\(358\) 2.78455 19.3670i 0.147168 1.02358i
\(359\) 9.00667 0.429041i 0.475354 0.0226439i 0.191462 0.981500i \(-0.438677\pi\)
0.283892 + 0.958856i \(0.408374\pi\)
\(360\) 1.50851 + 6.21816i 0.0795054 + 0.327726i
\(361\) 3.74720 2.94683i 0.197221 0.155096i
\(362\) 14.5125 2.79705i 0.762759 0.147010i
\(363\) 5.58250 8.68655i 0.293005 0.455925i
\(364\) −56.8454 + 15.7614i −2.97951 + 0.826124i
\(365\) −5.55199 18.9083i −0.290604 0.989708i
\(366\) −0.00963560 + 0.100909i −0.000503661 + 0.00527457i
\(367\) −17.1240 29.6596i −0.893864 1.54822i −0.835204 0.549940i \(-0.814651\pi\)
−0.0586596 0.998278i \(-0.518683\pi\)
\(368\) −13.3743 3.76094i −0.697182 0.196052i
\(369\) −10.4099 6.01016i −0.541918 0.312877i
\(370\) −8.31939 + 3.79934i −0.432504 + 0.197518i
\(371\) −13.2296 4.10290i −0.686846 0.213012i
\(372\) 21.1515 24.4101i 1.09665 1.26561i
\(373\) −11.7249 22.7431i −0.607092 1.17759i −0.969389 0.245532i \(-0.921038\pi\)
0.362296 0.932063i \(-0.381993\pi\)
\(374\) 14.2897 + 4.94570i 0.738901 + 0.255736i
\(375\) 7.11564 + 9.04827i 0.367450 + 0.467251i
\(376\) 27.0839 + 28.4048i 1.39674 + 1.46486i
\(377\) 16.1435 + 25.1198i 0.831432 + 1.29373i
\(378\) −6.24316 1.30150i −0.321114 0.0669421i
\(379\) −16.8368 7.68912i −0.864850 0.394964i −0.0669518 0.997756i \(-0.521327\pi\)
−0.797898 + 0.602793i \(0.794055\pi\)
\(380\) 12.2273 + 17.1709i 0.627249 + 0.880849i
\(381\) 2.07625 + 5.18623i 0.106370 + 0.265698i
\(382\) 6.79642 13.1832i 0.347735 0.674512i
\(383\) −26.5813 + 25.3453i −1.35824 + 1.29508i −0.440586 + 0.897710i \(0.645229\pi\)
−0.917658 + 0.397372i \(0.869922\pi\)
\(384\) 20.3994 2.93298i 1.04100 0.149673i
\(385\) 2.93952 + 1.22871i 0.149812 + 0.0626209i
\(386\) 3.50700 + 2.25381i 0.178502 + 0.114716i
\(387\) −9.19567 + 3.18265i −0.467442 + 0.161783i
\(388\) −11.2630 10.7392i −0.571790 0.545201i
\(389\) −30.0730 21.4149i −1.52476 1.08578i −0.966679 0.255990i \(-0.917598\pi\)
−0.558081 0.829786i \(-0.688462\pi\)
\(390\) −10.3425 + 17.9137i −0.523713 + 0.907098i
\(391\) −8.22887 + 35.7026i −0.416152 + 1.80556i
\(392\) −18.4608 + 24.3319i −0.932409 + 1.22895i
\(393\) 0.802335 + 1.75687i 0.0404724 + 0.0886223i
\(394\) 4.75849 19.6148i 0.239729 0.988177i
\(395\) 0.278297 1.44394i 0.0140026 0.0726525i
\(396\) −3.12514 0.148869i −0.157044 0.00748094i
\(397\) 2.06680 + 10.7236i 0.103730 + 0.538200i 0.996200 + 0.0870942i \(0.0277581\pi\)
−0.892471 + 0.451106i \(0.851030\pi\)
\(398\) −7.27074 50.5691i −0.364449 2.53480i
\(399\) −9.82857 + 1.74055i −0.492044 + 0.0871367i
\(400\) −6.94419 + 4.46276i −0.347210 + 0.223138i
\(401\) −3.17019 + 4.03123i −0.158312 + 0.201310i −0.858738 0.512415i \(-0.828751\pi\)
0.700426 + 0.713725i \(0.252993\pi\)
\(402\) −7.37505 + 0.704232i −0.367834 + 0.0351239i
\(403\) 49.3820 4.71541i 2.45989 0.234891i
\(404\) −14.8666 + 18.9044i −0.739640 + 0.940529i
\(405\) −1.23367 + 0.792835i −0.0613018 + 0.0393963i
\(406\) 30.5876 + 11.1073i 1.51804 + 0.551246i
\(407\) −0.302364 2.10299i −0.0149876 0.104241i
\(408\) 6.30841 + 32.7312i 0.312313 + 1.62043i
\(409\) −26.6980 1.27178i −1.32013 0.0628856i −0.624353 0.781143i \(-0.714637\pi\)
−0.695778 + 0.718257i \(0.744940\pi\)
\(410\) −8.04122 + 41.7218i −0.397128 + 2.06049i
\(411\) −2.84653 + 11.7336i −0.140409 + 0.578774i
\(412\) −0.333418 0.730083i −0.0164263 0.0359686i
\(413\) −21.4782 14.2668i −1.05687 0.702022i
\(414\) −0.682472 11.5398i −0.0335417 0.567151i
\(415\) 7.51633 13.0187i 0.368962 0.639061i
\(416\) 8.31162 + 5.91868i 0.407511 + 0.290187i
\(417\) 13.2826 + 12.6649i 0.650452 + 0.620205i
\(418\) −7.05656 + 2.44230i −0.345148 + 0.119457i
\(419\) −7.38688 4.74726i −0.360873 0.231919i 0.347622 0.937635i \(-0.386989\pi\)
−0.708495 + 0.705716i \(0.750626\pi\)
\(420\) 1.88229 + 14.6627i 0.0918463 + 0.715468i
\(421\) 31.8136 4.57411i 1.55050 0.222928i 0.686767 0.726877i \(-0.259029\pi\)
0.863733 + 0.503949i \(0.168120\pi\)
\(422\) 44.2915 42.2318i 2.15608 2.05581i
\(423\) −4.12180 + 7.99517i −0.200409 + 0.388739i
\(424\) −8.48971 21.2063i −0.412297 1.02987i
\(425\) 12.6273 + 17.7325i 0.612512 + 0.860152i
\(426\) 6.21670 + 2.83907i 0.301200 + 0.137553i
\(427\) −0.0227069 + 0.108922i −0.00109886 + 0.00527112i
\(428\) −12.2622 19.0803i −0.592714 0.922280i
\(429\) −3.31595 3.47767i −0.160096 0.167904i
\(430\) 21.2627 + 27.0377i 1.02538 + 1.30388i
\(431\) 17.0763 + 5.91015i 0.822534 + 0.284682i 0.705737 0.708474i \(-0.250616\pi\)
0.116797 + 0.993156i \(0.462737\pi\)
\(432\) −1.32743 2.57486i −0.0638662 0.123883i
\(433\) −4.14346 + 4.78181i −0.199122 + 0.229799i −0.846525 0.532349i \(-0.821310\pi\)
0.647403 + 0.762148i \(0.275855\pi\)
\(434\) 39.6864 36.7111i 1.90501 1.76219i
\(435\) 6.80675 3.10854i 0.326359 0.149043i
\(436\) 1.25265 + 0.723217i 0.0599910 + 0.0346358i
\(437\) −7.70441 16.3707i −0.368552 0.783115i
\(438\) 16.1958 + 28.0519i 0.773863 + 1.34037i
\(439\) −0.482284 + 5.05071i −0.0230182 + 0.241057i 0.976639 + 0.214885i \(0.0689378\pi\)
−0.999657 + 0.0261718i \(0.991668\pi\)
\(440\) 1.48026 + 5.04130i 0.0705685 + 0.240334i
\(441\) −6.65373 2.17437i −0.316844 0.103542i
\(442\) −58.2595 + 90.6535i −2.77112 + 4.31195i
\(443\) 0.242616 0.0467604i 0.0115270 0.00222165i −0.183484 0.983023i \(-0.558738\pi\)
0.195012 + 0.980801i \(0.437526\pi\)
\(444\) 7.74910 6.09396i 0.367756 0.289207i
\(445\) 2.06276 + 8.50282i 0.0977843 + 0.403072i
\(446\) −15.6492 + 0.745462i −0.741009 + 0.0352986i
\(447\) −1.83853 + 12.7873i −0.0869597 + 0.604818i
\(448\) 26.4350 0.858765i 1.24894 0.0405728i
\(449\) 2.76227 6.04853i 0.130360 0.285448i −0.833186 0.552994i \(-0.813485\pi\)
0.963545 + 0.267546i \(0.0862127\pi\)
\(450\) −5.39893 4.24577i −0.254508 0.200147i
\(451\) −8.77321 4.52290i −0.413114 0.212975i
\(452\) −43.8582 + 10.6399i −2.06292 + 0.500458i
\(453\) 2.76153 6.89796i 0.129748 0.324094i
\(454\) −6.64810 7.67232i −0.312011 0.360080i
\(455\) −13.4481 + 18.2932i −0.630457 + 0.857599i
\(456\) −12.4403 10.7796i −0.582570 0.504799i
\(457\) 17.1468 + 4.15976i 0.802093 + 0.194586i 0.615794 0.787908i \(-0.288836\pi\)
0.186299 + 0.982493i \(0.440351\pi\)
\(458\) −11.3006 + 15.8695i −0.528043 + 0.741533i
\(459\) −6.61616 + 3.81984i −0.308816 + 0.178295i
\(460\) −24.7612 + 10.2440i −1.15450 + 0.477629i
\(461\) 10.3803i 0.483461i −0.970343 0.241730i \(-0.922285\pi\)
0.970343 0.241730i \(-0.0777150\pi\)
\(462\) −5.17160 0.823584i −0.240605 0.0383166i
\(463\) −27.6765 + 8.12654i −1.28623 + 0.377673i −0.852196 0.523222i \(-0.824730\pi\)
−0.434038 + 0.900895i \(0.642912\pi\)
\(464\) 4.83471 + 13.9690i 0.224446 + 0.648494i
\(465\) 0.591516 12.4175i 0.0274309 0.575846i
\(466\) 3.54470 10.2417i 0.164205 0.474439i
\(467\) −6.80808 2.72554i −0.315040 0.126123i 0.208753 0.977968i \(-0.433059\pi\)
−0.523794 + 0.851845i \(0.675484\pi\)
\(468\) 6.28155 21.3930i 0.290365 0.988891i
\(469\) −8.13096 0.122994i −0.375453 0.00567934i
\(470\) 31.4724 + 4.52505i 1.45172 + 0.208725i
\(471\) −0.732266 + 0.521444i −0.0337410 + 0.0240269i
\(472\) −4.04203 42.3300i −0.186049 1.94840i
\(473\) −7.41809 + 2.96976i −0.341084 + 0.136550i
\(474\) 0.115009 + 2.41433i 0.00528252 + 0.110894i
\(475\) −10.3146 3.02863i −0.473265 0.138963i
\(476\) 6.16020 + 76.7665i 0.282352 + 3.51859i
\(477\) 3.95655 3.42837i 0.181158 0.156974i
\(478\) −29.9627 + 15.4468i −1.37046 + 0.706522i
\(479\) −17.8334 3.43710i −0.814828 0.157045i −0.235222 0.971942i \(-0.575582\pi\)
−0.579607 + 0.814896i \(0.696794\pi\)
\(480\) 1.76457 1.85062i 0.0805411 0.0844691i
\(481\) 15.0722 + 1.43922i 0.687232 + 0.0656227i
\(482\) 13.2487 0.603462
\(483\) 0.650049 12.6719i 0.0295783 0.576592i
\(484\) 39.3424 1.78829
\(485\) −5.96260 0.569359i −0.270748 0.0258533i
\(486\) 1.66338 1.74451i 0.0754526 0.0791324i
\(487\) −19.6225 3.78193i −0.889180 0.171375i −0.275849 0.961201i \(-0.588959\pi\)
−0.613331 + 0.789826i \(0.710171\pi\)
\(488\) −0.163092 + 0.0840798i −0.00738283 + 0.00380611i
\(489\) −1.24806 + 1.08145i −0.0564390 + 0.0489047i
\(490\) 0.429256 + 24.7400i 0.0193918 + 1.11764i
\(491\) −3.15926 0.927641i −0.142575 0.0418639i 0.209666 0.977773i \(-0.432762\pi\)
−0.352242 + 0.935909i \(0.614580\pi\)
\(492\) −2.17921 45.7473i −0.0982464 2.06245i
\(493\) 36.1906 14.4885i 1.62994 0.652531i
\(494\) −5.05834 52.9734i −0.227586 2.38338i
\(495\) −0.980903 + 0.698498i −0.0440883 + 0.0313952i
\(496\) 24.3075 + 3.49489i 1.09144 + 0.156925i
\(497\) 6.43904 + 3.84860i 0.288831 + 0.172633i
\(498\) −6.96134 + 23.7081i −0.311945 + 1.06239i
\(499\) 21.5097 + 8.61119i 0.962907 + 0.385490i 0.799231 0.601024i \(-0.205240\pi\)
0.163677 + 0.986514i \(0.447665\pi\)
\(500\) −14.3447 + 41.4464i −0.641516 + 1.85354i
\(501\) 0.100965 2.11951i 0.00451076 0.0946925i
\(502\) 0.549261 + 1.58699i 0.0245147 + 0.0708307i
\(503\) 35.8443 10.5248i 1.59822 0.469279i 0.643168 0.765726i \(-0.277620\pi\)
0.955049 + 0.296447i \(0.0958017\pi\)
\(504\) −4.12787 10.7807i −0.183870 0.480211i
\(505\) 9.25644i 0.411906i
\(506\) −1.01066 9.43849i −0.0449291 0.419592i
\(507\) 18.3974 10.6217i 0.817055 0.471727i
\(508\) −12.3465 + 17.3382i −0.547786 + 0.769258i
\(509\) 12.7999 + 3.10522i 0.567346 + 0.137637i 0.509164 0.860669i \(-0.329955\pi\)
0.0581817 + 0.998306i \(0.481470\pi\)
\(510\) 20.4090 + 17.6845i 0.903724 + 0.783081i
\(511\) 14.2788 + 32.5606i 0.631655 + 1.44040i
\(512\) 19.8624 + 22.9224i 0.877802 + 1.01304i
\(513\) 1.40215 3.50241i 0.0619066 0.154635i
\(514\) 40.9994 9.94636i 1.80841 0.438715i
\(515\) −0.274575 0.141553i −0.0120992 0.00623757i
\(516\) −29.1437 22.9188i −1.28298 1.00895i
\(517\) −3.06838 + 6.71882i −0.134947 + 0.295493i
\(518\) 14.0146 8.70995i 0.615765 0.382693i
\(519\) −0.803757 + 5.59025i −0.0352810 + 0.245385i
\(520\) −37.4004 + 1.78160i −1.64012 + 0.0781283i
\(521\) −7.74698 31.9335i −0.339401 1.39903i −0.844309 0.535857i \(-0.819988\pi\)
0.504907 0.863174i \(-0.331527\pi\)
\(522\) −9.66819 + 7.60315i −0.423165 + 0.332781i
\(523\) 10.7664 2.07506i 0.470783 0.0907360i 0.0516588 0.998665i \(-0.483549\pi\)
0.419125 + 0.907929i \(0.362337\pi\)
\(524\) −3.97854 + 6.19072i −0.173803 + 0.270443i
\(525\) −5.37689 5.28441i −0.234667 0.230630i
\(526\) 15.0144 + 51.1344i 0.654659 + 2.22956i
\(527\) 6.15611 64.4697i 0.268164 2.80835i
\(528\) −1.18939 2.06008i −0.0517614 0.0896534i
\(529\) 22.4786 4.86976i 0.977328 0.211729i
\(530\) −16.0264 9.25285i −0.696143 0.401918i
\(531\) 8.86501 4.04852i 0.384709 0.175691i
\(532\) −25.8250 27.9181i −1.11966 1.21040i
\(533\) 46.0632 53.1597i 1.99522 2.30260i
\(534\) −6.58993 12.7827i −0.285174 0.553161i
\(535\) −8.24941 2.85515i −0.356653 0.123439i
\(536\) −8.28989 10.5414i −0.358069 0.455321i
\(537\) 5.60158 + 5.87477i 0.241726 + 0.253515i
\(538\) −28.0982 43.7217i −1.21140 1.88498i
\(539\) −5.54246 1.52349i −0.238731 0.0656212i
\(540\) −5.08254 2.32112i −0.218718 0.0998850i
\(541\) 7.11904 + 9.99729i 0.306071 + 0.429817i 0.938751 0.344597i \(-0.111984\pi\)
−0.632679 + 0.774414i \(0.718045\pi\)
\(542\) −4.78115 11.9427i −0.205368 0.512984i
\(543\) −2.80963 + 5.44992i −0.120573 + 0.233878i
\(544\) 9.64096 9.19263i 0.413353 0.394131i
\(545\) 0.551046 0.0792285i 0.0236042 0.00339378i
\(546\) 14.3925 34.4321i 0.615944 1.47356i
\(547\) 2.08032 + 1.33694i 0.0889480 + 0.0571634i 0.584359 0.811495i \(-0.301346\pi\)
−0.495411 + 0.868659i \(0.664982\pi\)
\(548\) −43.4731 + 15.0462i −1.85708 + 0.642742i
\(549\) −0.0304358 0.0290205i −0.00129897 0.00123856i
\(550\) −4.59418 3.27150i −0.195897 0.139497i
\(551\) −9.62536 + 16.6716i −0.410054 + 0.710234i
\(552\) 16.9048 12.3325i 0.719516 0.524908i
\(553\) −0.166304 + 2.64783i −0.00707197 + 0.112597i
\(554\) −30.6121 67.0312i −1.30058 2.84788i
\(555\) 0.894541 3.68735i 0.0379712 0.156519i
\(556\) −13.2338 + 68.6634i −0.561238 + 2.91198i
\(557\) 38.3372 + 1.82623i 1.62440 + 0.0773797i 0.839898 0.542745i \(-0.182615\pi\)
0.784503 + 0.620125i \(0.212918\pi\)
\(558\) 3.86708 + 20.0643i 0.163707 + 0.849390i
\(559\) −8.10383 56.3633i −0.342755 2.38392i
\(560\) −8.60476 + 7.23113i −0.363618 + 0.305571i
\(561\) −5.27744 + 3.39161i −0.222814 + 0.143194i
\(562\) −3.63184 + 4.61826i −0.153200 + 0.194810i
\(563\) −31.5893 + 3.01641i −1.33133 + 0.127127i −0.736342 0.676609i \(-0.763449\pi\)
−0.594987 + 0.803736i \(0.702843\pi\)
\(564\) −34.1174 + 3.25782i −1.43660 + 0.137179i
\(565\) −10.7375 + 13.6538i −0.451729 + 0.574420i
\(566\) 47.0540 30.2398i 1.97783 1.27107i
\(567\) 2.02550 1.70216i 0.0850631 0.0714839i
\(568\) 1.76058 + 12.2451i 0.0738725 + 0.513794i
\(569\) −1.35639 7.03760i −0.0568627 0.295032i 0.942353 0.334619i \(-0.108608\pi\)
−0.999216 + 0.0395876i \(0.987396\pi\)
\(570\) −13.3205 0.634535i −0.557936 0.0265778i
\(571\) 2.04947 10.6336i 0.0857675 0.445004i −0.913504 0.406831i \(-0.866634\pi\)
0.999271 0.0381734i \(-0.0121539\pi\)
\(572\) 4.31637 17.7923i 0.180477 0.743934i
\(573\) 2.55617 + 5.59722i 0.106785 + 0.233827i
\(574\) 4.80526 76.5074i 0.200568 3.19336i
\(575\) 6.69655 11.9123i 0.279265 0.496777i
\(576\) −4.99839 + 8.65747i −0.208266 + 0.360728i
\(577\) −2.65354 1.88958i −0.110468 0.0786642i 0.523488 0.852033i \(-0.324631\pi\)
−0.633956 + 0.773369i \(0.718570\pi\)
\(578\) 72.1612 + 68.8056i 3.00151 + 2.86193i
\(579\) −1.63436 + 0.565658i −0.0679217 + 0.0235079i
\(580\) 23.9851 + 15.4143i 0.995928 + 0.640044i
\(581\) −10.4597 + 25.0232i −0.433940 + 1.03814i
\(582\) 9.74502 1.40112i 0.403944 0.0580784i
\(583\) 3.11127 2.96659i 0.128856 0.122864i
\(584\) −26.8673 + 52.1153i −1.11178 + 2.15654i
\(585\) −3.18942 7.96678i −0.131866 0.329386i
\(586\) −2.59311 3.64151i −0.107120 0.150429i
\(587\) 13.7907 + 6.29799i 0.569202 + 0.259946i 0.679160 0.733990i \(-0.262344\pi\)
−0.109958 + 0.993936i \(0.535072\pi\)
\(588\) −6.73662 25.8062i −0.277814 1.06423i
\(589\) 17.2905 + 26.9045i 0.712441 + 1.10858i
\(590\) −23.7728 24.9322i −0.978709 1.02644i
\(591\) 5.17616 + 6.58202i 0.212919 + 0.270748i
\(592\) 7.08310 + 2.45148i 0.291113 + 0.100755i
\(593\) 2.96573 + 5.75271i 0.121788 + 0.236235i 0.941846 0.336045i \(-0.109089\pi\)
−0.820058 + 0.572280i \(0.806059\pi\)
\(594\) 1.29617 1.49586i 0.0531826 0.0613760i
\(595\) 20.1281 + 21.7594i 0.825171 + 0.892049i
\(596\) −44.7743 + 20.4477i −1.83403 + 0.837571i
\(597\) 18.3555 + 10.5975i 0.751239 + 0.433728i
\(598\) 67.0641 + 8.85836i 2.74245 + 0.362245i
\(599\) −1.92915 3.34138i −0.0788229 0.136525i 0.823919 0.566707i \(-0.191783\pi\)
−0.902742 + 0.430182i \(0.858449\pi\)
\(600\) 1.18181 12.3765i 0.0482472 0.505268i
\(601\) 6.86553 + 23.3818i 0.280051 + 0.953765i 0.972618 + 0.232411i \(0.0746615\pi\)
−0.692567 + 0.721354i \(0.743520\pi\)
\(602\) −44.2602 43.4989i −1.80391 1.77288i
\(603\) 1.66170 2.58565i 0.0676695 0.105296i
\(604\) 27.7985 5.35772i 1.13110 0.218003i
\(605\) 11.9027 9.36040i 0.483914 0.380554i
\(606\) −3.58700 14.7858i −0.145712 0.600633i
\(607\) 21.9229 1.04432i 0.889823 0.0423875i 0.402310 0.915503i \(-0.368207\pi\)
0.487513 + 0.873116i \(0.337904\pi\)
\(608\) −0.936186 + 6.51132i −0.0379674 + 0.264069i
\(609\) −11.4664 + 7.12630i −0.464643 + 0.288772i
\(610\) −0.0617525 + 0.135219i −0.00250029 + 0.00547487i
\(611\) −41.3759 32.5383i −1.67389 1.31636i
\(612\) −25.8725 13.3382i −1.04583 0.539164i
\(613\) −15.6602 + 3.79914i −0.632512 + 0.153446i −0.539182 0.842190i \(-0.681266\pi\)
−0.0933300 + 0.995635i \(0.529751\pi\)
\(614\) −8.70748 + 21.7502i −0.351405 + 0.877768i
\(615\) −11.5435 13.3220i −0.465480 0.537193i
\(616\) −3.80697 8.68124i −0.153387 0.349777i
\(617\) 31.7328 + 27.4967i 1.27752 + 1.10697i 0.988751 + 0.149574i \(0.0477902\pi\)
0.288765 + 0.957400i \(0.406755\pi\)
\(618\) 0.493447 + 0.119709i 0.0198494 + 0.00481540i
\(619\) −25.6152 + 35.9715i −1.02956 + 1.44582i −0.139363 + 0.990241i \(0.544505\pi\)
−0.890198 + 0.455574i \(0.849434\pi\)
\(620\) 41.0201 23.6830i 1.64741 0.951131i
\(621\) 3.93822 + 2.73686i 0.158036 + 0.109826i
\(622\) 4.30876i 0.172766i
\(623\) −5.64453 14.7417i −0.226143 0.590615i
\(624\) 16.2653 4.77593i 0.651134 0.191190i
\(625\) 0.861262 + 2.48845i 0.0344505 + 0.0995381i
\(626\) 2.06832 43.4193i 0.0826666 1.73538i
\(627\) 1.01322 2.92752i 0.0404643 0.116914i
\(628\) −3.17979 1.27300i −0.126887 0.0507980i
\(629\) 5.56892 18.9660i 0.222047 0.756224i
\(630\) −8.02763 4.79809i −0.319829 0.191161i
\(631\) −38.6640 5.55904i −1.53919 0.221302i −0.680097 0.733123i \(-0.738062\pi\)
−0.859092 + 0.511821i \(0.828971\pi\)
\(632\) −3.56396 + 2.53788i −0.141767 + 0.100952i
\(633\) 2.41339 + 25.2742i 0.0959236 + 1.00456i
\(634\) −23.0762 + 9.23834i −0.916475 + 0.366901i
\(635\) 0.389805 + 8.18301i 0.0154689 + 0.324733i
\(636\) 19.1391 + 5.61974i 0.758914 + 0.222837i
\(637\) 19.8628 35.8246i 0.786991 1.41942i
\(638\) −7.63295 + 6.61399i −0.302191 + 0.261850i
\(639\) −2.52013 + 1.29922i −0.0996946 + 0.0513962i
\(640\) 29.6765 + 5.71968i 1.17307 + 0.226090i
\(641\) −24.6661 + 25.8691i −0.974254 + 1.02177i 0.0255021 + 0.999675i \(0.491882\pi\)
−0.999756 + 0.0220932i \(0.992967\pi\)
\(642\) 14.2836 + 1.36392i 0.563731 + 0.0538298i
\(643\) −5.85126 −0.230751 −0.115376 0.993322i \(-0.536807\pi\)
−0.115376 + 0.993322i \(0.536807\pi\)
\(644\) 41.9563 24.0195i 1.65331 0.946501i
\(645\) −14.2700 −0.561882
\(646\) −69.1584 6.60382i −2.72100 0.259824i
\(647\) −2.49426 + 2.61590i −0.0980593 + 0.102842i −0.770935 0.636914i \(-0.780211\pi\)
0.672875 + 0.739756i \(0.265059\pi\)
\(648\) 4.28436 + 0.825742i 0.168305 + 0.0324382i
\(649\) 7.11305 3.66703i 0.279212 0.143944i
\(650\) 30.3754 26.3205i 1.19142 1.03237i
\(651\) 1.79403 + 22.3566i 0.0703135 + 0.876225i
\(652\) −6.03725 1.77270i −0.236437 0.0694241i
\(653\) 2.31754 + 48.6511i 0.0906922 + 1.90386i 0.347938 + 0.937517i \(0.386882\pi\)
−0.257246 + 0.966346i \(0.582815\pi\)
\(654\) −0.849515 + 0.340094i −0.0332187 + 0.0132987i
\(655\) 0.269232 + 2.81953i 0.0105198 + 0.110168i
\(656\) 28.3648 20.1985i 1.10746 0.788619i
\(657\) −13.3013 1.91244i −0.518934 0.0746114i
\(658\) −57.3587 0.867644i −2.23607 0.0338243i
\(659\) −0.778884 + 2.65264i −0.0303410 + 0.103332i −0.973271 0.229658i \(-0.926239\pi\)
0.942930 + 0.332990i \(0.108057\pi\)
\(660\) −4.25947 1.70524i −0.165800 0.0663762i
\(661\) 13.1479 37.9883i 0.511394 1.47758i −0.333556 0.942730i \(-0.608249\pi\)
0.844950 0.534845i \(-0.179630\pi\)
\(662\) −1.76771 + 37.1089i −0.0687041 + 1.44228i
\(663\) −14.6219 42.2471i −0.567866 1.64074i
\(664\) −42.9151 + 12.6010i −1.66543 + 0.489014i
\(665\) −14.4554 2.30205i −0.560558 0.0892695i
\(666\) 6.23666i 0.241666i
\(667\) −17.9036 16.6831i −0.693229 0.645973i
\(668\) 7.00162 4.04239i 0.270901 0.156405i
\(669\) 3.77017 5.29446i 0.145763 0.204696i
\(670\) −10.5582 2.56140i −0.407901 0.0989556i
\(671\) −0.0260978 0.0226139i −0.00100750 0.000873000i
\(672\) −2.73253 + 3.71700i −0.105409 + 0.143387i
\(673\) 18.1075 + 20.8972i 0.697992 + 0.805526i 0.988480 0.151353i \(-0.0483629\pi\)
−0.290487 + 0.956879i \(0.593817\pi\)
\(674\) −24.7968 + 61.9395i −0.955138 + 2.38582i
\(675\) 2.76914 0.671786i 0.106584 0.0258570i
\(676\) 71.9428 + 37.0891i 2.76703 + 1.42650i
\(677\) 16.1734 + 12.7189i 0.621595 + 0.488828i 0.878585 0.477586i \(-0.158488\pi\)
−0.256990 + 0.966414i \(0.582731\pi\)
\(678\) 11.8605 25.9709i 0.455500 0.997406i
\(679\) 10.8007 0.350870i 0.414493 0.0134652i
\(680\) −6.95673 + 48.3851i −0.266779 + 1.85549i
\(681\) 4.20691 0.200400i 0.161209 0.00767934i
\(682\) 3.95579 + 16.3060i 0.151475 + 0.624389i
\(683\) 3.89791 3.06535i 0.149149 0.117292i −0.540796 0.841154i \(-0.681877\pi\)
0.689945 + 0.723861i \(0.257635\pi\)
\(684\) 14.1146 2.72036i 0.539684 0.104016i
\(685\) −9.57261 + 14.8953i −0.365751 + 0.569119i
\(686\) −6.45140 44.1730i −0.246316 1.68653i
\(687\) −2.27706 7.75497i −0.0868754 0.295870i
\(688\) 2.67956 28.0616i 0.102157 1.06984i
\(689\) 15.3178 + 26.5313i 0.583563 + 1.01076i
\(690\) 4.58913 16.3194i 0.174705 0.621270i
\(691\) −7.19577 4.15448i −0.273740 0.158044i 0.356846 0.934163i \(-0.383852\pi\)
−0.630586 + 0.776119i \(0.717185\pi\)
\(692\) −19.5741 + 8.93918i −0.744095 + 0.339817i
\(693\) 1.59484 1.47528i 0.0605831 0.0560412i
\(694\) 11.2383 12.9697i 0.426601 0.492324i
\(695\) 12.3327 + 23.9221i 0.467806 + 0.907418i
\(696\) −21.0396 7.28189i −0.797505 0.276019i
\(697\) −56.7665 72.1845i −2.15018 2.73418i
\(698\) 33.0501 + 34.6620i 1.25097 + 1.31198i
\(699\) 2.43084 + 3.78247i 0.0919430 + 0.143066i
\(700\) 5.86213 28.1200i 0.221568 1.06283i
\(701\) 1.94045 + 0.886175i 0.0732899 + 0.0334704i 0.451723 0.892158i \(-0.350810\pi\)
−0.378433 + 0.925629i \(0.623537\pi\)
\(702\) 8.18187 + 11.4898i 0.308805 + 0.433656i
\(703\) 3.62789 + 9.06202i 0.136828 + 0.341781i
\(704\) −3.76150 + 7.29629i −0.141767 + 0.274989i
\(705\) −9.54683 + 9.10288i −0.359554 + 0.342834i
\(706\) 45.9633 6.60852i 1.72985 0.248715i
\(707\) −2.12638 16.5642i −0.0799709 0.622960i
\(708\) 31.2379 + 20.0754i 1.17399 + 0.754479i
\(709\) −23.2568 + 8.04924i −0.873426 + 0.302296i −0.726761 0.686890i \(-0.758975\pi\)
−0.146665 + 0.989186i \(0.546854\pi\)
\(710\) 7.25349 + 6.91619i 0.272219 + 0.259560i
\(711\) −0.816821 0.581656i −0.0306332 0.0218138i
\(712\) 13.0162 22.5447i 0.487801 0.844897i
\(713\) −38.2640 + 13.7368i −1.43300 + 0.514449i
\(714\) −40.5838 26.9576i −1.51881 1.00886i
\(715\) −2.92729 6.40987i −0.109474 0.239715i
\(716\) −7.29156 + 30.0562i −0.272499 + 1.12325i
\(717\) 2.64670 13.7324i 0.0988429 0.512845i
\(718\) −21.7099 1.03417i −0.810206 0.0385949i
\(719\) −5.75398 29.8545i −0.214587 1.11338i −0.916168 0.400794i \(-0.868734\pi\)
0.701581 0.712590i \(-0.252478\pi\)
\(720\) −0.604584 4.20497i −0.0225315 0.156710i
\(721\) 0.523862 + 0.190231i 0.0195097 + 0.00708456i
\(722\) −9.66663 + 6.21236i −0.359755 + 0.231200i
\(723\) −3.39766 + 4.32048i −0.126360 + 0.160680i
\(724\) −23.2562 + 2.22070i −0.864309 + 0.0825315i
\(725\) −14.4741 + 1.38211i −0.537555 + 0.0513302i
\(726\) −15.3856 + 19.5644i −0.571012 + 0.726101i
\(727\) −5.46322 + 3.51100i −0.202619 + 0.130216i −0.638016 0.770023i \(-0.720245\pi\)
0.435396 + 0.900239i \(0.356608\pi\)
\(728\) 66.5178 11.7797i 2.46531 0.436586i
\(729\) 0.142315 + 0.989821i 0.00527092 + 0.0366601i
\(730\) 8.98967 + 46.6428i 0.332723 + 1.72633i
\(731\) −74.2565 3.53728i −2.74648 0.130831i
\(732\) 0.0303239 0.157335i 0.00112080 0.00581528i
\(733\) 5.26516 21.7033i 0.194473 0.801629i −0.788069 0.615587i \(-0.788919\pi\)
0.982542 0.186042i \(-0.0595659\pi\)
\(734\) 34.2934 + 75.0920i 1.26579 + 2.77170i
\(735\) −8.17794 6.20465i −0.301648 0.228862i
\(736\) −7.79850 3.01872i −0.287457 0.111271i
\(737\) 1.26193 2.18572i 0.0464836 0.0805120i
\(738\) 23.6016 + 16.8066i 0.868786 + 0.618660i
\(739\) 24.6368 + 23.4911i 0.906278 + 0.864134i 0.991216 0.132252i \(-0.0422209\pi\)
−0.0849384 + 0.996386i \(0.527069\pi\)
\(740\) 13.6617 4.72837i 0.502215 0.173818i
\(741\) 18.5721 + 11.9356i 0.682265 + 0.438465i
\(742\) 30.8044 + 12.8762i 1.13087 + 0.472699i
\(743\) 1.67437 0.240737i 0.0614265 0.00883180i −0.111533 0.993761i \(-0.535576\pi\)
0.172960 + 0.984929i \(0.444667\pi\)
\(744\) −26.7692 + 25.5244i −0.981408 + 0.935770i
\(745\) −8.68112 + 16.8390i −0.318052 + 0.616934i
\(746\) 22.9230 + 57.2588i 0.839269 + 2.09639i
\(747\) −5.94611 8.35014i −0.217557 0.305516i
\(748\) −21.7422 9.92933i −0.794973 0.363052i
\(749\) 15.4180 + 3.21417i 0.563362 + 0.117443i
\(750\) −15.0008 23.3418i −0.547753 0.852321i
\(751\) 1.98349 + 2.08023i 0.0723787 + 0.0759086i 0.758928 0.651175i \(-0.225724\pi\)
−0.686549 + 0.727084i \(0.740875\pi\)
\(752\) −16.1079 20.4829i −0.587395 0.746933i
\(753\) −0.658385 0.227869i −0.0239929 0.00830402i
\(754\) −32.9809 63.9740i −1.20109 2.32980i
\(755\) 7.13548 8.23478i 0.259687 0.299694i
\(756\) 9.62829 + 2.98603i 0.350177 + 0.108601i
\(757\) −27.4180 + 12.5214i −0.996524 + 0.455097i −0.845812 0.533481i \(-0.820884\pi\)
−0.150711 + 0.988578i \(0.548156\pi\)
\(758\) 38.6383 + 22.3079i 1.40341 + 0.810258i
\(759\) 3.33713 + 2.09094i 0.121130 + 0.0758964i
\(760\) −12.0697 20.9053i −0.437814 0.758316i
\(761\) 3.67239 38.4590i 0.133124 1.39414i −0.644114 0.764930i \(-0.722774\pi\)
0.777238 0.629207i \(-0.216620\pi\)
\(762\) −3.79369 12.9201i −0.137431 0.468046i
\(763\) −0.967884 + 0.268364i −0.0350398 + 0.00971541i
\(764\) −12.6753 + 19.7231i −0.458575 + 0.713556i
\(765\) −11.0009 + 2.12026i −0.397739 + 0.0766580i
\(766\) 69.5894 54.7257i 2.51437 1.97732i
\(767\) 13.4453 + 55.4223i 0.485482 + 2.00118i
\(768\) −29.6495 + 1.41238i −1.06989 + 0.0509649i
\(769\) 3.35009 23.3004i 0.120807 0.840234i −0.835838 0.548977i \(-0.815017\pi\)
0.956645 0.291257i \(-0.0940734\pi\)
\(770\) −6.77187 3.62182i −0.244041 0.130521i
\(771\) −7.27084 + 15.9209i −0.261853 + 0.573378i
\(772\) −5.17975 4.07340i −0.186423 0.146605i
\(773\) 21.1540 + 10.9057i 0.760857 +