Properties

Label 43.2.g.a.14.1
Level $43$
Weight $2$
Character 43.14
Analytic conductor $0.343$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.343356728692\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(3\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 14.1
Character \(\chi\) \(=\) 43.14
Dual form 43.2.g.a.40.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.05399 + 0.989151i) q^{2} +(-0.239882 - 3.20100i) q^{3} +(1.99349 - 2.49975i) q^{4} +(-0.131558 + 0.0405802i) q^{5} +(3.65898 + 6.33755i) q^{6} +(0.934721 - 1.61898i) q^{7} +(-0.607386 + 2.66113i) q^{8} +(-7.22235 + 1.08859i) q^{9} +O(q^{10})\) \(q+(-2.05399 + 0.989151i) q^{2} +(-0.239882 - 3.20100i) q^{3} +(1.99349 - 2.49975i) q^{4} +(-0.131558 + 0.0405802i) q^{5} +(3.65898 + 6.33755i) q^{6} +(0.934721 - 1.61898i) q^{7} +(-0.607386 + 2.66113i) q^{8} +(-7.22235 + 1.08859i) q^{9} +(0.230079 - 0.213482i) q^{10} +(1.63643 + 2.05201i) q^{11} +(-8.47991 - 5.78150i) q^{12} +(1.27950 + 1.18720i) q^{13} +(-0.318491 + 4.24996i) q^{14} +(0.161455 + 0.411382i) q^{15} +(0.0382407 + 0.167543i) q^{16} +(1.45431 + 0.448596i) q^{17} +(13.7579 - 9.37996i) q^{18} +(4.83787 + 0.729192i) q^{19} +(-0.160818 + 0.409758i) q^{20} +(-5.40659 - 2.60368i) q^{21} +(-5.39096 - 2.59615i) q^{22} +(1.59785 - 4.07127i) q^{23} +(8.66398 + 1.30588i) q^{24} +(-4.11553 + 2.80592i) q^{25} +(-3.80240 - 1.17288i) q^{26} +(3.07424 + 13.4691i) q^{27} +(-2.18371 - 5.56400i) q^{28} +(-0.00236255 + 0.0315260i) q^{29} +(-0.738546 - 0.685271i) q^{30} +(-2.33987 - 1.59530i) q^{31} +(-3.64799 - 4.57443i) q^{32} +(6.17594 - 5.73044i) q^{33} +(-3.43088 + 0.517122i) q^{34} +(-0.0572711 + 0.250921i) q^{35} +(-11.6764 + 20.2242i) q^{36} +(-0.00465496 - 0.00806262i) q^{37} +(-10.6582 + 3.28763i) q^{38} +(3.49330 - 4.38045i) q^{39} +(-0.0280829 - 0.374740i) q^{40} +(7.49687 - 3.61030i) q^{41} +13.6805 q^{42} +(-5.74000 + 3.17056i) q^{43} +8.39173 q^{44} +(0.905981 - 0.436297i) q^{45} +(0.745115 + 9.94287i) q^{46} +(-3.50782 + 4.39867i) q^{47} +(0.527133 - 0.162599i) q^{48} +(1.75259 + 3.03558i) q^{49} +(5.67779 - 9.83423i) q^{50} +(1.08709 - 4.76286i) q^{51} +(5.51837 - 0.831760i) q^{52} +(-5.67072 + 5.26166i) q^{53} +(-19.6374 - 24.6246i) q^{54} +(-0.298556 - 0.203552i) q^{55} +(3.74059 + 3.47076i) q^{56} +(1.17362 - 15.6609i) q^{57} +(-0.0263313 - 0.0670912i) q^{58} +(0.483369 + 2.11778i) q^{59} +(1.35021 + 0.416485i) q^{60} +(-10.0335 + 6.84074i) q^{61} +(6.38407 + 0.962243i) q^{62} +(-4.98847 + 12.7104i) q^{63} +(11.7081 + 5.63831i) q^{64} +(-0.216505 - 0.104263i) q^{65} +(-7.01708 + 17.8792i) q^{66} +(7.65319 + 1.15353i) q^{67} +(4.02053 - 2.74115i) q^{68} +(-13.4154 - 4.13811i) q^{69} +(-0.130564 - 0.572040i) q^{70} +(-4.78843 - 12.2007i) q^{71} +(1.48986 - 19.8808i) q^{72} +(-3.48792 - 3.23631i) q^{73} +(0.0175364 + 0.0119561i) q^{74} +(9.96899 + 12.5007i) q^{75} +(11.4670 - 10.6399i) q^{76} +(4.85178 - 0.731289i) q^{77} +(-2.84227 + 12.4528i) q^{78} +(6.00370 - 10.3987i) q^{79} +(-0.0118298 - 0.0204898i) q^{80} +(21.4388 - 6.61301i) q^{81} +(-11.8274 + 14.8311i) q^{82} +(0.321498 + 4.29009i) q^{83} +(-17.2865 + 8.32474i) q^{84} -0.209530 q^{85} +(8.65375 - 12.1900i) q^{86} +0.101482 q^{87} +(-6.45462 + 3.10838i) q^{88} +(0.574898 + 7.67148i) q^{89} +(-1.42931 + 1.79230i) q^{90} +(3.11803 - 0.961785i) q^{91} +(-6.99186 - 12.1103i) q^{92} +(-4.54525 + 7.87260i) q^{93} +(2.85409 - 12.5046i) q^{94} +(-0.666050 + 0.100391i) q^{95} +(-13.7677 + 12.7745i) q^{96} +(1.00469 + 1.25984i) q^{97} +(-6.60246 - 4.50148i) q^{98} +(-14.0527 - 13.0390i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} + O(q^{10}) \) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} - 7q^{10} - 4q^{11} + 2q^{12} + 18q^{14} - 3q^{15} - 10q^{16} - 10q^{17} + 11q^{18} + 10q^{19} - 3q^{20} - 21q^{21} - 3q^{22} + 4q^{23} + 31q^{24} - 2q^{25} - 15q^{26} - 4q^{27} + 20q^{28} + 9q^{29} + 88q^{30} + 40q^{31} + 48q^{32} - 11q^{33} - 42q^{34} + 11q^{35} - 47q^{36} - 19q^{37} - 21q^{38} - q^{39} - 97q^{40} - 28q^{41} + 2q^{42} - 8q^{43} + 14q^{44} - 46q^{45} - 61q^{46} - 30q^{47} - 97q^{48} + 6q^{49} - 3q^{50} + 57q^{51} - 8q^{52} - 24q^{53} + 6q^{54} + 14q^{55} + 39q^{56} + 52q^{57} + 64q^{58} - q^{59} + 111q^{60} - 14q^{61} + 33q^{62} + 47q^{63} + 48q^{64} + 38q^{65} + 79q^{66} + 66q^{67} + 66q^{68} - 7q^{69} + 47q^{70} - 33q^{71} + 26q^{72} + 29q^{73} - 40q^{74} - 55q^{75} - 39q^{76} - 27q^{77} - 126q^{78} - 17q^{79} + 8q^{80} + 38q^{81} - 54q^{82} - 23q^{83} - 155q^{84} - 56q^{85} - 45q^{86} - 86q^{87} - 17q^{88} - 19q^{89} - 127q^{90} - 13q^{91} - 18q^{92} - 30q^{93} + 44q^{94} + q^{95} - 36q^{96} - 31q^{97} - 5q^{98} - 31q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{10}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.05399 + 0.989151i −1.45239 + 0.699435i −0.983009 0.183559i \(-0.941238\pi\)
−0.469383 + 0.882994i \(0.655524\pi\)
\(3\) −0.239882 3.20100i −0.138496 1.84810i −0.444148 0.895954i \(-0.646493\pi\)
0.305652 0.952143i \(-0.401126\pi\)
\(4\) 1.99349 2.49975i 0.996743 1.24988i
\(5\) −0.131558 + 0.0405802i −0.0588344 + 0.0181480i −0.324033 0.946046i \(-0.605039\pi\)
0.265198 + 0.964194i \(0.414563\pi\)
\(6\) 3.65898 + 6.33755i 1.49377 + 2.58729i
\(7\) 0.934721 1.61898i 0.353291 0.611919i −0.633533 0.773716i \(-0.718396\pi\)
0.986824 + 0.161797i \(0.0517291\pi\)
\(8\) −0.607386 + 2.66113i −0.214743 + 0.940852i
\(9\) −7.22235 + 1.08859i −2.40745 + 0.362865i
\(10\) 0.230079 0.213482i 0.0727573 0.0675089i
\(11\) 1.63643 + 2.05201i 0.493401 + 0.618706i 0.964727 0.263254i \(-0.0847957\pi\)
−0.471325 + 0.881959i \(0.656224\pi\)
\(12\) −8.47991 5.78150i −2.44794 1.66898i
\(13\) 1.27950 + 1.18720i 0.354869 + 0.329270i 0.837382 0.546619i \(-0.184085\pi\)
−0.482513 + 0.875889i \(0.660276\pi\)
\(14\) −0.318491 + 4.24996i −0.0851202 + 1.13585i
\(15\) 0.161455 + 0.411382i 0.0416876 + 0.106218i
\(16\) 0.0382407 + 0.167543i 0.00956018 + 0.0418859i
\(17\) 1.45431 + 0.448596i 0.352723 + 0.108801i 0.466053 0.884757i \(-0.345676\pi\)
−0.113330 + 0.993557i \(0.536152\pi\)
\(18\) 13.7579 9.37996i 3.24276 2.21088i
\(19\) 4.83787 + 0.729192i 1.10988 + 0.167288i 0.678300 0.734785i \(-0.262717\pi\)
0.431584 + 0.902073i \(0.357955\pi\)
\(20\) −0.160818 + 0.409758i −0.0359600 + 0.0916247i
\(21\) −5.40659 2.60368i −1.17981 0.568169i
\(22\) −5.39096 2.59615i −1.14936 0.553501i
\(23\) 1.59785 4.07127i 0.333176 0.848918i −0.661881 0.749609i \(-0.730242\pi\)
0.995057 0.0993088i \(-0.0316632\pi\)
\(24\) 8.66398 + 1.30588i 1.76853 + 0.266562i
\(25\) −4.11553 + 2.80592i −0.823107 + 0.561185i
\(26\) −3.80240 1.17288i −0.745711 0.230022i
\(27\) 3.07424 + 13.4691i 0.591637 + 2.59213i
\(28\) −2.18371 5.56400i −0.412682 1.05150i
\(29\) −0.00236255 + 0.0315260i −0.000438715 + 0.00585424i −0.997419 0.0718027i \(-0.977125\pi\)
0.996980 + 0.0776569i \(0.0247439\pi\)
\(30\) −0.738546 0.685271i −0.134840 0.125113i
\(31\) −2.33987 1.59530i −0.420253 0.286524i 0.334672 0.942335i \(-0.391374\pi\)
−0.754925 + 0.655811i \(0.772327\pi\)
\(32\) −3.64799 4.57443i −0.644879 0.808653i
\(33\) 6.17594 5.73044i 1.07509 0.997541i
\(34\) −3.43088 + 0.517122i −0.588391 + 0.0886856i
\(35\) −0.0572711 + 0.250921i −0.00968058 + 0.0424134i
\(36\) −11.6764 + 20.2242i −1.94607 + 3.37070i
\(37\) −0.00465496 0.00806262i −0.000765270 0.00132549i 0.865643 0.500663i \(-0.166910\pi\)
−0.866408 + 0.499337i \(0.833577\pi\)
\(38\) −10.6582 + 3.28763i −1.72899 + 0.533324i
\(39\) 3.49330 4.38045i 0.559375 0.701434i
\(40\) −0.0280829 0.374740i −0.00444030 0.0592516i
\(41\) 7.49687 3.61030i 1.17081 0.563834i 0.255592 0.966785i \(-0.417730\pi\)
0.915222 + 0.402951i \(0.132015\pi\)
\(42\) 13.6805 2.11095
\(43\) −5.74000 + 3.17056i −0.875341 + 0.483506i
\(44\) 8.39173 1.26510
\(45\) 0.905981 0.436297i 0.135056 0.0650394i
\(46\) 0.745115 + 9.94287i 0.109861 + 1.46600i
\(47\) −3.50782 + 4.39867i −0.511668 + 0.641611i −0.968817 0.247779i \(-0.920299\pi\)
0.457149 + 0.889390i \(0.348871\pi\)
\(48\) 0.527133 0.162599i 0.0760851 0.0234691i
\(49\) 1.75259 + 3.03558i 0.250370 + 0.433654i
\(50\) 5.67779 9.83423i 0.802961 1.39077i
\(51\) 1.08709 4.76286i 0.152223 0.666934i
\(52\) 5.51837 0.831760i 0.765260 0.115344i
\(53\) −5.67072 + 5.26166i −0.778934 + 0.722745i −0.965700 0.259659i \(-0.916390\pi\)
0.186766 + 0.982404i \(0.440199\pi\)
\(54\) −19.6374 24.6246i −2.67232 3.35098i
\(55\) −0.298556 0.203552i −0.0402572 0.0274469i
\(56\) 3.74059 + 3.47076i 0.499858 + 0.463800i
\(57\) 1.17362 15.6609i 0.155450 2.07434i
\(58\) −0.0263313 0.0670912i −0.00345747 0.00880950i
\(59\) 0.483369 + 2.11778i 0.0629293 + 0.275711i 0.996597 0.0824294i \(-0.0262679\pi\)
−0.933668 + 0.358141i \(0.883411\pi\)
\(60\) 1.35021 + 0.416485i 0.174312 + 0.0537680i
\(61\) −10.0335 + 6.84074i −1.28466 + 0.875867i −0.996652 0.0817604i \(-0.973946\pi\)
−0.288009 + 0.957628i \(0.592993\pi\)
\(62\) 6.38407 + 0.962243i 0.810777 + 0.122205i
\(63\) −4.98847 + 12.7104i −0.628488 + 1.60136i
\(64\) 11.7081 + 5.63831i 1.46351 + 0.704789i
\(65\) −0.216505 0.104263i −0.0268541 0.0129322i
\(66\) −7.01708 + 17.8792i −0.863742 + 2.20078i
\(67\) 7.65319 + 1.15353i 0.934985 + 0.140926i 0.598826 0.800879i \(-0.295634\pi\)
0.336159 + 0.941805i \(0.390872\pi\)
\(68\) 4.02053 2.74115i 0.487561 0.332414i
\(69\) −13.4154 4.13811i −1.61503 0.498169i
\(70\) −0.130564 0.572040i −0.0156054 0.0683718i
\(71\) −4.78843 12.2007i −0.568283 1.44796i −0.869273 0.494333i \(-0.835412\pi\)
0.300990 0.953627i \(-0.402683\pi\)
\(72\) 1.48986 19.8808i 0.175582 2.34298i
\(73\) −3.48792 3.23631i −0.408230 0.378782i 0.449159 0.893452i \(-0.351724\pi\)
−0.857388 + 0.514670i \(0.827914\pi\)
\(74\) 0.0175364 + 0.0119561i 0.00203857 + 0.00138987i
\(75\) 9.96899 + 12.5007i 1.15112 + 1.44346i
\(76\) 11.4670 10.6399i 1.31536 1.22047i
\(77\) 4.85178 0.731289i 0.552912 0.0833381i
\(78\) −2.84227 + 12.4528i −0.321824 + 1.41000i
\(79\) 6.00370 10.3987i 0.675469 1.16995i −0.300862 0.953668i \(-0.597274\pi\)
0.976331 0.216279i \(-0.0693922\pi\)
\(80\) −0.0118298 0.0204898i −0.00132261 0.00229083i
\(81\) 21.4388 6.61301i 2.38209 0.734779i
\(82\) −11.8274 + 14.8311i −1.30612 + 1.63782i
\(83\) 0.321498 + 4.29009i 0.0352890 + 0.470899i 0.986654 + 0.162832i \(0.0520629\pi\)
−0.951365 + 0.308067i \(0.900318\pi\)
\(84\) −17.2865 + 8.32474i −1.88611 + 0.908304i
\(85\) −0.209530 −0.0227267
\(86\) 8.65375 12.1900i 0.933157 1.31448i
\(87\) 0.101482 0.0108800
\(88\) −6.45462 + 3.10838i −0.688065 + 0.331355i
\(89\) 0.574898 + 7.67148i 0.0609390 + 0.813175i 0.941020 + 0.338351i \(0.109869\pi\)
−0.880081 + 0.474824i \(0.842512\pi\)
\(90\) −1.42931 + 1.79230i −0.150663 + 0.188925i
\(91\) 3.11803 0.961785i 0.326859 0.100822i
\(92\) −6.99186 12.1103i −0.728952 1.26258i
\(93\) −4.54525 + 7.87260i −0.471321 + 0.816351i
\(94\) 2.85409 12.5046i 0.294377 1.28975i
\(95\) −0.666050 + 0.100391i −0.0683353 + 0.0102999i
\(96\) −13.7677 + 12.7745i −1.40516 + 1.30379i
\(97\) 1.00469 + 1.25984i 0.102011 + 0.127918i 0.830216 0.557441i \(-0.188217\pi\)
−0.728206 + 0.685359i \(0.759645\pi\)
\(98\) −6.60246 4.50148i −0.666949 0.454718i
\(99\) −14.0527 13.0390i −1.41235 1.31046i
\(100\) −1.19015 + 15.8814i −0.119015 + 1.58814i
\(101\) 5.50384 + 14.0235i 0.547652 + 1.39539i 0.890060 + 0.455843i \(0.150662\pi\)
−0.342408 + 0.939551i \(0.611242\pi\)
\(102\) 2.47831 + 10.8582i 0.245389 + 1.07512i
\(103\) −14.0591 4.33665i −1.38528 0.427303i −0.489580 0.871958i \(-0.662850\pi\)
−0.895702 + 0.444655i \(0.853326\pi\)
\(104\) −3.93644 + 2.68382i −0.386000 + 0.263170i
\(105\) 0.816936 + 0.123133i 0.0797248 + 0.0120166i
\(106\) 6.44305 16.4166i 0.625804 1.59452i
\(107\) −3.08455 1.48544i −0.298194 0.143603i 0.278804 0.960348i \(-0.410062\pi\)
−0.576999 + 0.816745i \(0.695776\pi\)
\(108\) 39.7979 + 19.1657i 3.82956 + 1.84422i
\(109\) 0.984049 2.50732i 0.0942548 0.240157i −0.875969 0.482367i \(-0.839777\pi\)
0.970224 + 0.242210i \(0.0778723\pi\)
\(110\) 0.814575 + 0.122777i 0.0776667 + 0.0117064i
\(111\) −0.0246918 + 0.0168346i −0.00234364 + 0.00159787i
\(112\) 0.306995 + 0.0946953i 0.0290083 + 0.00894787i
\(113\) −1.06288 4.65678i −0.0999873 0.438073i −0.999998 0.00220423i \(-0.999298\pi\)
0.900010 0.435869i \(-0.143559\pi\)
\(114\) 13.0804 + 33.3283i 1.22509 + 3.12148i
\(115\) −0.0449973 + 0.600448i −0.00419602 + 0.0559920i
\(116\) 0.0740976 + 0.0687525i 0.00687979 + 0.00638351i
\(117\) −10.5334 7.18152i −0.973809 0.663932i
\(118\) −3.08764 3.87178i −0.284240 0.356426i
\(119\) 2.08565 1.93520i 0.191191 0.177399i
\(120\) −1.19281 + 0.179787i −0.108888 + 0.0164122i
\(121\) 0.914860 4.00826i 0.0831691 0.364388i
\(122\) 13.8423 23.9755i 1.25322 2.17064i
\(123\) −13.3549 23.1314i −1.20417 2.08569i
\(124\) −8.65235 + 2.66890i −0.777004 + 0.239674i
\(125\) 0.856758 1.07434i 0.0766307 0.0960919i
\(126\) −2.32623 31.0414i −0.207237 2.76539i
\(127\) 0.876275 0.421992i 0.0777568 0.0374457i −0.394601 0.918852i \(-0.629117\pi\)
0.472358 + 0.881407i \(0.343403\pi\)
\(128\) −17.9236 −1.58424
\(129\) 11.5259 + 17.6132i 1.01480 + 1.55075i
\(130\) 0.547831 0.0480479
\(131\) −1.04438 + 0.502948i −0.0912480 + 0.0439427i −0.478951 0.877842i \(-0.658983\pi\)
0.387703 + 0.921784i \(0.373269\pi\)
\(132\) −2.01302 26.8619i −0.175211 2.33803i
\(133\) 5.70261 7.15085i 0.494479 0.620057i
\(134\) −16.8606 + 5.20081i −1.45653 + 0.449281i
\(135\) −0.951019 1.64721i −0.0818507 0.141770i
\(136\) −2.07710 + 3.59765i −0.178110 + 0.308496i
\(137\) −4.77567 + 20.9236i −0.408013 + 1.78762i 0.185334 + 0.982675i \(0.440663\pi\)
−0.593348 + 0.804946i \(0.702194\pi\)
\(138\) 31.6484 4.77022i 2.69409 0.406068i
\(139\) 9.11951 8.46167i 0.773507 0.717709i −0.191051 0.981580i \(-0.561190\pi\)
0.964558 + 0.263871i \(0.0849993\pi\)
\(140\) 0.513072 + 0.643372i 0.0433625 + 0.0543748i
\(141\) 14.9216 + 10.1734i 1.25662 + 0.856751i
\(142\) 21.9038 + 20.3237i 1.83812 + 1.70553i
\(143\) −0.342348 + 4.56831i −0.0286285 + 0.382021i
\(144\) −0.458575 1.16843i −0.0382145 0.0973691i
\(145\) −0.000968521 0.00424337i −8.04313e−5 0.000352392i
\(146\) 10.3654 + 3.19729i 0.857843 + 0.264609i
\(147\) 9.29647 6.33822i 0.766760 0.522768i
\(148\) −0.0294342 0.00443649i −0.00241947 0.000364677i
\(149\) −1.44582 + 3.68388i −0.118446 + 0.301795i −0.977785 0.209611i \(-0.932780\pi\)
0.859339 + 0.511407i \(0.170875\pi\)
\(150\) −32.8413 15.8156i −2.68148 1.29133i
\(151\) 6.51587 + 3.13788i 0.530254 + 0.255357i 0.679800 0.733398i \(-0.262067\pi\)
−0.149545 + 0.988755i \(0.547781\pi\)
\(152\) −4.87893 + 12.4313i −0.395733 + 1.00831i
\(153\) −10.9919 1.65676i −0.888642 0.133941i
\(154\) −9.24217 + 6.30120i −0.744755 + 0.507766i
\(155\) 0.372566 + 0.114921i 0.0299252 + 0.00923070i
\(156\) −3.98622 17.4648i −0.319153 1.39830i
\(157\) 0.923271 + 2.35245i 0.0736850 + 0.187746i 0.962971 0.269605i \(-0.0868933\pi\)
−0.889286 + 0.457352i \(0.848798\pi\)
\(158\) −2.04566 + 27.2975i −0.162744 + 2.17167i
\(159\) 18.2029 + 16.8898i 1.44358 + 1.33945i
\(160\) 0.665552 + 0.453766i 0.0526165 + 0.0358733i
\(161\) −5.09777 6.39240i −0.401760 0.503792i
\(162\) −37.4940 + 34.7893i −2.94580 + 2.73331i
\(163\) −13.4563 + 2.02821i −1.05398 + 0.158862i −0.653103 0.757269i \(-0.726533\pi\)
−0.400878 + 0.916131i \(0.631295\pi\)
\(164\) 5.92004 25.9374i 0.462278 2.02537i
\(165\) −0.579951 + 1.00450i −0.0451491 + 0.0782006i
\(166\) −4.90390 8.49381i −0.380617 0.659248i
\(167\) −4.58897 + 1.41551i −0.355105 + 0.109535i −0.467175 0.884165i \(-0.654728\pi\)
0.112070 + 0.993700i \(0.464252\pi\)
\(168\) 10.2126 12.8062i 0.787920 0.988020i
\(169\) −0.743822 9.92561i −0.0572171 0.763509i
\(170\) 0.430374 0.207257i 0.0330081 0.0158959i
\(171\) −35.7346 −2.73269
\(172\) −3.51699 + 20.6690i −0.268168 + 1.57600i
\(173\) 15.9540 1.21296 0.606482 0.795098i \(-0.292580\pi\)
0.606482 + 0.795098i \(0.292580\pi\)
\(174\) −0.208442 + 0.100381i −0.0158020 + 0.00760983i
\(175\) 0.695870 + 9.28574i 0.0526028 + 0.701936i
\(176\) −0.281223 + 0.352643i −0.0211980 + 0.0265815i
\(177\) 6.66306 2.05528i 0.500826 0.154484i
\(178\) −8.76908 15.1885i −0.657270 1.13843i
\(179\) 7.96740 13.7999i 0.595512 1.03146i −0.397963 0.917402i \(-0.630283\pi\)
0.993474 0.114055i \(-0.0363840\pi\)
\(180\) 0.715425 3.13448i 0.0533246 0.233630i
\(181\) −20.5685 + 3.10020i −1.52884 + 0.230436i −0.858965 0.512034i \(-0.828892\pi\)
−0.669879 + 0.742470i \(0.733654\pi\)
\(182\) −5.45306 + 5.05970i −0.404208 + 0.375050i
\(183\) 24.3041 + 30.4763i 1.79661 + 2.25287i
\(184\) 9.86366 + 6.72493i 0.727159 + 0.495768i
\(185\) 0.000939579 0 0.000871802i 6.90792e−5 0 6.40961e-5i
\(186\) 1.54872 20.6662i 0.113558 1.51532i
\(187\) 1.45935 + 3.71837i 0.106718 + 0.271914i
\(188\) 4.00279 + 17.5374i 0.291933 + 1.27904i
\(189\) 24.6798 + 7.61272i 1.79519 + 0.553744i
\(190\) 1.26876 0.865026i 0.0920455 0.0627556i
\(191\) −19.6912 2.96797i −1.42481 0.214755i −0.609041 0.793139i \(-0.708446\pi\)
−0.815765 + 0.578384i \(0.803684\pi\)
\(192\) 15.2397 38.8300i 1.09983 2.80232i
\(193\) 6.72820 + 3.24013i 0.484307 + 0.233230i 0.660072 0.751202i \(-0.270526\pi\)
−0.175765 + 0.984432i \(0.556240\pi\)
\(194\) −3.30980 1.59392i −0.237630 0.114437i
\(195\) −0.281810 + 0.718041i −0.0201809 + 0.0514200i
\(196\) 11.0820 + 1.67034i 0.791569 + 0.119310i
\(197\) 21.9961 14.9967i 1.56716 1.06847i 0.604910 0.796294i \(-0.293209\pi\)
0.962247 0.272176i \(-0.0877434\pi\)
\(198\) 41.7616 + 12.8817i 2.96786 + 0.915465i
\(199\) −1.93619 8.48301i −0.137253 0.601345i −0.996032 0.0889982i \(-0.971633\pi\)
0.858779 0.512347i \(-0.171224\pi\)
\(200\) −4.96721 12.6563i −0.351235 0.894932i
\(201\) 1.85660 24.7745i 0.130954 1.74746i
\(202\) −25.1762 23.3601i −1.77139 1.64361i
\(203\) 0.0488318 + 0.0332930i 0.00342732 + 0.00233671i
\(204\) −9.73888 12.2122i −0.681858 0.855023i
\(205\) −0.839764 + 0.779187i −0.0586517 + 0.0544208i
\(206\) 33.1668 4.99910i 2.31084 0.348304i
\(207\) −7.10831 + 31.1435i −0.494061 + 2.16462i
\(208\) −0.149979 + 0.259771i −0.0103992 + 0.0180119i
\(209\) 6.42051 + 11.1206i 0.444116 + 0.769231i
\(210\) −1.79978 + 0.555158i −0.124196 + 0.0383095i
\(211\) −7.72675 + 9.68904i −0.531932 + 0.667021i −0.973095 0.230406i \(-0.925995\pi\)
0.441163 + 0.897427i \(0.354566\pi\)
\(212\) 1.84835 + 24.6645i 0.126945 + 1.69396i
\(213\) −37.9059 + 18.2545i −2.59727 + 1.25078i
\(214\) 7.80496 0.533536
\(215\) 0.626479 0.650042i 0.0427255 0.0443325i
\(216\) −37.7103 −2.56586
\(217\) −4.76989 + 2.29706i −0.323801 + 0.155934i
\(218\) 0.458884 + 6.12338i 0.0310796 + 0.414728i
\(219\) −9.52274 + 11.9411i −0.643487 + 0.806907i
\(220\) −1.10400 + 0.340538i −0.0744314 + 0.0229591i
\(221\) 1.32822 + 2.30054i 0.0893455 + 0.154751i
\(222\) 0.0340648 0.0590020i 0.00228628 0.00395996i
\(223\) 5.71596 25.0433i 0.382769 1.67702i −0.305994 0.952033i \(-0.598989\pi\)
0.688763 0.724987i \(-0.258154\pi\)
\(224\) −10.8158 + 1.63022i −0.722660 + 0.108923i
\(225\) 26.6693 24.7455i 1.77795 1.64970i
\(226\) 6.78940 + 8.51364i 0.451624 + 0.566319i
\(227\) 0.859865 + 0.586246i 0.0570713 + 0.0389105i 0.591520 0.806291i \(-0.298528\pi\)
−0.534448 + 0.845201i \(0.679481\pi\)
\(228\) −36.8089 34.1536i −2.43773 2.26188i
\(229\) 0.562088 7.50054i 0.0371438 0.495650i −0.947346 0.320210i \(-0.896246\pi\)
0.984490 0.175439i \(-0.0561346\pi\)
\(230\) −0.501509 1.27782i −0.0330685 0.0842573i
\(231\) −3.50471 15.3551i −0.230593 1.01029i
\(232\) −0.0824599 0.0254355i −0.00541376 0.00166992i
\(233\) −2.55369 + 1.74108i −0.167298 + 0.114062i −0.644075 0.764963i \(-0.722757\pi\)
0.476777 + 0.879024i \(0.341805\pi\)
\(234\) 28.7390 + 4.33171i 1.87873 + 0.283173i
\(235\) 0.282982 0.721026i 0.0184597 0.0470346i
\(236\) 6.25752 + 3.01346i 0.407330 + 0.196160i
\(237\) −34.7264 16.7234i −2.25573 1.08630i
\(238\) −2.36970 + 6.03790i −0.153605 + 0.391379i
\(239\) −10.7246 1.61647i −0.693716 0.104561i −0.207286 0.978280i \(-0.566463\pi\)
−0.486430 + 0.873719i \(0.661701\pi\)
\(240\) −0.0627501 + 0.0427823i −0.00405050 + 0.00276159i
\(241\) 7.72480 + 2.38279i 0.497598 + 0.153489i 0.533388 0.845871i \(-0.320919\pi\)
−0.0357899 + 0.999359i \(0.511395\pi\)
\(242\) 2.08566 + 9.13788i 0.134071 + 0.587405i
\(243\) −11.1689 28.4579i −0.716485 1.82557i
\(244\) −2.90153 + 38.7183i −0.185752 + 2.47868i
\(245\) −0.353752 0.328233i −0.0226004 0.0209701i
\(246\) 50.3114 + 34.3017i 3.20774 + 2.18700i
\(247\) 5.32435 + 6.67652i 0.338780 + 0.424817i
\(248\) 5.66650 5.25774i 0.359823 0.333867i
\(249\) 13.6555 2.05823i 0.865380 0.130435i
\(250\) −0.697090 + 3.05415i −0.0440878 + 0.193161i
\(251\) −3.79160 + 6.56724i −0.239324 + 0.414521i −0.960520 0.278210i \(-0.910259\pi\)
0.721197 + 0.692730i \(0.243592\pi\)
\(252\) 21.8284 + 37.8080i 1.37506 + 2.38168i
\(253\) 10.9691 3.38351i 0.689619 0.212719i
\(254\) −1.38245 + 1.73354i −0.0867425 + 0.108772i
\(255\) 0.0502625 + 0.670706i 0.00314756 + 0.0420012i
\(256\) 13.3988 6.45252i 0.837425 0.403282i
\(257\) −2.35428 −0.146856 −0.0734280 0.997301i \(-0.523394\pi\)
−0.0734280 + 0.997301i \(0.523394\pi\)
\(258\) −41.0961 24.7765i −2.55853 1.54251i
\(259\) −0.0174044 −0.00108145
\(260\) −0.692231 + 0.333361i −0.0429303 + 0.0206742i
\(261\) −0.0172559 0.230264i −0.00106811 0.0142530i
\(262\) 1.64766 2.06610i 0.101793 0.127644i
\(263\) −18.0426 + 5.56540i −1.11255 + 0.343177i −0.795939 0.605377i \(-0.793022\pi\)
−0.316614 + 0.948554i \(0.602546\pi\)
\(264\) 11.4983 + 19.9156i 0.707669 + 1.22572i
\(265\) 0.532508 0.922332i 0.0327117 0.0566584i
\(266\) −4.63985 + 20.3285i −0.284488 + 1.24642i
\(267\) 24.4185 3.68049i 1.49439 0.225242i
\(268\) 18.1401 16.8315i 1.10808 1.02815i
\(269\) −7.19083 9.01702i −0.438433 0.549777i 0.512697 0.858570i \(-0.328647\pi\)
−0.951129 + 0.308793i \(0.900075\pi\)
\(270\) 3.58273 + 2.44266i 0.218038 + 0.148656i
\(271\) 14.1633 + 13.1416i 0.860357 + 0.798294i 0.980920 0.194411i \(-0.0622796\pi\)
−0.120563 + 0.992706i \(0.538470\pi\)
\(272\) −0.0195454 + 0.260815i −0.00118511 + 0.0158142i
\(273\) −3.82663 9.75010i −0.231598 0.590103i
\(274\) −10.8874 47.7007i −0.657731 2.88171i
\(275\) −12.4926 3.85345i −0.753330 0.232371i
\(276\) −37.0877 + 25.2860i −2.23242 + 1.52204i
\(277\) −7.21713 1.08781i −0.433635 0.0653600i −0.0714024 0.997448i \(-0.522747\pi\)
−0.362233 + 0.932088i \(0.617986\pi\)
\(278\) −10.3615 + 26.4008i −0.621444 + 1.58341i
\(279\) 18.6360 + 8.97463i 1.11571 + 0.537297i
\(280\) −0.632948 0.304812i −0.0378259 0.0182160i
\(281\) 3.84059 9.78566i 0.229110 0.583764i −0.769374 0.638798i \(-0.779432\pi\)
0.998484 + 0.0550349i \(0.0175270\pi\)
\(282\) −40.7118 6.13632i −2.42435 0.365412i
\(283\) 20.0722 13.6850i 1.19317 0.813487i 0.206854 0.978372i \(-0.433678\pi\)
0.986313 + 0.164885i \(0.0527252\pi\)
\(284\) −40.0445 12.3521i −2.37620 0.732962i
\(285\) 0.481124 + 2.10794i 0.0284993 + 0.124864i
\(286\) −3.81557 9.72191i −0.225619 0.574869i
\(287\) 1.16246 15.5119i 0.0686178 0.915641i
\(288\) 31.3267 + 29.0670i 1.84595 + 1.71279i
\(289\) −12.1323 8.27164i −0.713663 0.486567i
\(290\) 0.00618666 + 0.00775783i 0.000363293 + 0.000455556i
\(291\) 3.79175 3.51823i 0.222276 0.206242i
\(292\) −15.0431 + 2.26738i −0.880331 + 0.132688i
\(293\) 2.90395 12.7230i 0.169651 0.743288i −0.816488 0.577363i \(-0.804082\pi\)
0.986138 0.165925i \(-0.0530610\pi\)
\(294\) −12.8254 + 22.2143i −0.747994 + 1.29556i
\(295\) −0.149531 0.258995i −0.00870603 0.0150793i
\(296\) 0.0242831 0.00749033i 0.00141142 0.000435367i
\(297\) −22.6081 + 28.3496i −1.31185 + 1.64501i
\(298\) −0.674216 8.99679i −0.0390563 0.521170i
\(299\) 6.87786 3.31220i 0.397757 0.191550i
\(300\) 51.1218 2.95152
\(301\) −0.232207 + 12.2566i −0.0133842 + 0.706456i
\(302\) −16.4874 −0.948743
\(303\) 43.5691 20.9818i 2.50298 1.20537i
\(304\) 0.0628323 + 0.838438i 0.00360368 + 0.0480877i
\(305\) 1.04239 1.30711i 0.0596870 0.0748452i
\(306\) 24.2161 7.46967i 1.38434 0.427012i
\(307\) 10.4712 + 18.1367i 0.597625 + 1.03512i 0.993171 + 0.116671i \(0.0372222\pi\)
−0.395546 + 0.918446i \(0.629444\pi\)
\(308\) 7.84392 13.5861i 0.446949 0.774138i
\(309\) −10.5091 + 46.0434i −0.597842 + 2.61932i
\(310\) −0.878922 + 0.132476i −0.0499194 + 0.00752414i
\(311\) −12.1661 + 11.2884i −0.689873 + 0.640109i −0.945103 0.326771i \(-0.894039\pi\)
0.255230 + 0.966880i \(0.417849\pi\)
\(312\) 9.53519 + 11.9567i 0.539824 + 0.676917i
\(313\) −9.26269 6.31519i −0.523558 0.356956i 0.272520 0.962150i \(-0.412143\pi\)
−0.796078 + 0.605194i \(0.793095\pi\)
\(314\) −4.22332 3.91867i −0.238336 0.221143i
\(315\) 0.140481 1.87459i 0.00791519 0.105621i
\(316\) −14.0259 35.7375i −0.789020 2.01039i
\(317\) −2.77593 12.1622i −0.155912 0.683095i −0.991099 0.133128i \(-0.957498\pi\)
0.835187 0.549966i \(-0.185359\pi\)
\(318\) −54.0951 16.6861i −3.03350 0.935712i
\(319\) −0.0685580 + 0.0467421i −0.00383851 + 0.00261705i
\(320\) −1.76909 0.266648i −0.0988952 0.0149061i
\(321\) −4.01496 + 10.2300i −0.224093 + 0.570981i
\(322\) 16.7938 + 8.08748i 0.935883 + 0.450698i
\(323\) 6.70867 + 3.23072i 0.373280 + 0.179762i
\(324\) 26.2072 66.7748i 1.45595 3.70971i
\(325\) −8.59700 1.29579i −0.476876 0.0718775i
\(326\) 25.6330 17.4763i 1.41968 0.967921i
\(327\) −8.26197 2.54848i −0.456888 0.140931i
\(328\) 5.05399 + 22.1430i 0.279060 + 1.22264i
\(329\) 3.84254 + 9.79063i 0.211846 + 0.539775i
\(330\) 0.197609 2.63690i 0.0108780 0.145157i
\(331\) −3.11477 2.89008i −0.171203 0.158853i 0.589918 0.807463i \(-0.299160\pi\)
−0.761121 + 0.648610i \(0.775351\pi\)
\(332\) 11.3651 + 7.74858i 0.623740 + 0.425259i
\(333\) 0.0423967 + 0.0531637i 0.00232332 + 0.00291335i
\(334\) 8.02555 7.44662i 0.439139 0.407461i
\(335\) −1.05365 + 0.158812i −0.0575668 + 0.00867681i
\(336\) 0.229477 1.00540i 0.0125190 0.0548493i
\(337\) −4.80721 + 8.32633i −0.261865 + 0.453564i −0.966738 0.255770i \(-0.917671\pi\)
0.704872 + 0.709334i \(0.251004\pi\)
\(338\) 11.3457 + 19.6514i 0.617126 + 1.06889i
\(339\) −14.6514 + 4.51935i −0.795753 + 0.245457i
\(340\) −0.417696 + 0.523774i −0.0226527 + 0.0284056i
\(341\) −0.555455 7.41204i −0.0300796 0.401384i
\(342\) 73.3986 35.3469i 3.96894 1.91134i
\(343\) 19.6388 1.06040
\(344\) −4.95088 17.2006i −0.266934 0.927396i
\(345\) 1.93283 0.104060
\(346\) −32.7695 + 15.7809i −1.76170 + 0.848389i
\(347\) 0.746266 + 9.95823i 0.0400617 + 0.534586i 0.980744 + 0.195297i \(0.0625672\pi\)
−0.940682 + 0.339288i \(0.889814\pi\)
\(348\) 0.202302 0.253679i 0.0108445 0.0135986i
\(349\) −0.602110 + 0.185726i −0.0322302 + 0.00994170i −0.310828 0.950466i \(-0.600606\pi\)
0.278598 + 0.960408i \(0.410130\pi\)
\(350\) −10.6143 18.3845i −0.567359 0.982694i
\(351\) −12.0571 + 20.8834i −0.643558 + 1.11467i
\(352\) 3.41713 14.9714i 0.182134 0.797980i
\(353\) 17.3796 2.61956i 0.925024 0.139425i 0.330778 0.943708i \(-0.392689\pi\)
0.594246 + 0.804284i \(0.297451\pi\)
\(354\) −11.6529 + 10.8123i −0.619344 + 0.574667i
\(355\) 1.12506 + 1.41078i 0.0597122 + 0.0748767i
\(356\) 20.3228 + 13.8559i 1.07711 + 0.734360i
\(357\) −6.69487 6.21193i −0.354330 0.328770i
\(358\) −2.71476 + 36.2260i −0.143480 + 1.91460i
\(359\) −9.26838 23.6154i −0.489166 1.24638i −0.936077 0.351796i \(-0.885571\pi\)
0.446910 0.894579i \(-0.352524\pi\)
\(360\) 0.610765 + 2.67593i 0.0321901 + 0.141034i
\(361\) 4.71739 + 1.45512i 0.248284 + 0.0765854i
\(362\) 39.1810 26.7131i 2.05931 1.40401i
\(363\) −13.0499 1.96696i −0.684942 0.103238i
\(364\) 3.81153 9.71162i 0.199778 0.509027i
\(365\) 0.590192 + 0.284222i 0.0308921 + 0.0148768i
\(366\) −80.0660 38.5578i −4.18512 2.01545i
\(367\) −6.30459 + 16.0638i −0.329097 + 0.838526i 0.666562 + 0.745450i \(0.267765\pi\)
−0.995659 + 0.0930762i \(0.970330\pi\)
\(368\) 0.743217 + 0.112022i 0.0387429 + 0.00583955i
\(369\) −50.2148 + 34.2359i −2.61408 + 1.78225i
\(370\) −0.00279223 0.000861289i −0.000145161 4.47763e-5i
\(371\) 3.21801 + 14.0990i 0.167071 + 0.731984i
\(372\) 10.6187 + 27.0559i 0.550553 + 1.40279i
\(373\) −1.92562 + 25.6956i −0.0997047 + 1.33047i 0.693034 + 0.720905i \(0.256274\pi\)
−0.792738 + 0.609562i \(0.791345\pi\)
\(374\) −6.67552 6.19398i −0.345183 0.320283i
\(375\) −3.64448 2.48476i −0.188200 0.128313i
\(376\) −9.57483 12.0065i −0.493784 0.619185i
\(377\) −0.0404506 + 0.0375327i −0.00208331 + 0.00193303i
\(378\) −58.2223 + 8.77561i −2.99463 + 0.451369i
\(379\) −4.68141 + 20.5106i −0.240468 + 1.05356i 0.700124 + 0.714021i \(0.253128\pi\)
−0.940592 + 0.339538i \(0.889729\pi\)
\(380\) −1.07681 + 1.86509i −0.0552392 + 0.0956770i
\(381\) −1.56100 2.70373i −0.0799723 0.138516i
\(382\) 43.3814 13.3814i 2.21958 0.684651i
\(383\) 15.1051 18.9412i 0.771835 0.967851i −0.228148 0.973626i \(-0.573267\pi\)
0.999983 + 0.00577548i \(0.00183840\pi\)
\(384\) 4.29954 + 57.3734i 0.219410 + 2.92782i
\(385\) −0.608614 + 0.293093i −0.0310178 + 0.0149374i
\(386\) −17.0247 −0.866532
\(387\) 38.0048 29.1474i 1.93189 1.48165i
\(388\) 5.15213 0.261560
\(389\) 27.2994 13.1467i 1.38414 0.666565i 0.414259 0.910159i \(-0.364041\pi\)
0.969877 + 0.243594i \(0.0783265\pi\)
\(390\) −0.131414 1.75360i −0.00665443 0.0887972i
\(391\) 4.15013 5.20410i 0.209881 0.263183i
\(392\) −9.14257 + 2.82011i −0.461770 + 0.142437i
\(393\) 1.86046 + 3.22241i 0.0938479 + 0.162549i
\(394\) −30.3459 + 52.5606i −1.52880 + 2.64796i
\(395\) −0.367852 + 1.61166i −0.0185086 + 0.0810916i
\(396\) −60.6080 + 9.13518i −3.04567 + 0.459060i
\(397\) −1.24872 + 1.15864i −0.0626714 + 0.0581506i −0.710887 0.703307i \(-0.751706\pi\)
0.648215 + 0.761457i \(0.275516\pi\)
\(398\) 12.3679 + 15.5089i 0.619947 + 0.777389i
\(399\) −24.2578 16.5387i −1.21441 0.827970i
\(400\) −0.627495 0.582230i −0.0313747 0.0291115i
\(401\) −0.000639389 0.00853205i −3.19295e−5 0.000426070i −0.997220 0.0745171i \(-0.976258\pi\)
0.997188 + 0.0749431i \(0.0238775\pi\)
\(402\) 20.6923 + 52.7232i 1.03204 + 2.62959i
\(403\) −1.09992 4.81907i −0.0547910 0.240055i
\(404\) 46.0272 + 14.1975i 2.28994 + 0.706353i
\(405\) −2.55209 + 1.73998i −0.126814 + 0.0864605i
\(406\) −0.133232 0.0200815i −0.00661220 0.000996628i
\(407\) 0.00892712 0.0227459i 0.000442501 0.00112747i
\(408\) 12.0143 + 5.78579i 0.594797 + 0.286439i
\(409\) 27.0944 + 13.0480i 1.33973 + 0.645182i 0.960022 0.279923i \(-0.0903090\pi\)
0.379711 + 0.925105i \(0.376023\pi\)
\(410\) 0.954136 2.43110i 0.0471214 0.120063i
\(411\) 68.1219 + 10.2677i 3.36021 + 0.506470i
\(412\) −38.8672 + 26.4992i −1.91485 + 1.30552i
\(413\) 3.88047 + 1.19697i 0.190945 + 0.0588989i
\(414\) −16.2052 70.9998i −0.796444 3.48945i
\(415\) −0.216388 0.551349i −0.0106221 0.0270646i
\(416\) 0.763175 10.1839i 0.0374177 0.499305i
\(417\) −29.2734 27.1617i −1.43352 1.33012i
\(418\) −24.1877 16.4909i −1.18306 0.806595i
\(419\) 6.19225 + 7.76484i 0.302511 + 0.379337i 0.909732 0.415196i \(-0.136287\pi\)
−0.607221 + 0.794533i \(0.707716\pi\)
\(420\) 1.93635 1.79667i 0.0944844 0.0876687i
\(421\) 10.9358 1.64831i 0.532980 0.0803338i 0.122962 0.992411i \(-0.460761\pi\)
0.410018 + 0.912078i \(0.365522\pi\)
\(422\) 6.28677 27.5441i 0.306035 1.34083i
\(423\) 20.5463 35.5873i 0.998997 1.73031i
\(424\) −10.5577 18.2864i −0.512725 0.888066i
\(425\) −7.24400 + 2.23448i −0.351386 + 0.108388i
\(426\) 59.8019 74.9892i 2.89741 3.63324i
\(427\) 1.69651 + 22.6383i 0.0820997 + 1.09554i
\(428\) −9.86224 + 4.74940i −0.476709 + 0.229571i
\(429\) 14.7053 0.709978
\(430\) −0.643794 + 1.95486i −0.0310465 + 0.0942719i
\(431\) −24.7776 −1.19350 −0.596748 0.802429i \(-0.703541\pi\)
−0.596748 + 0.802429i \(0.703541\pi\)
\(432\) −2.13910 + 1.03014i −0.102918 + 0.0495625i
\(433\) −0.472647 6.30704i −0.0227140 0.303097i −0.996978 0.0776864i \(-0.975247\pi\)
0.974264 0.225411i \(-0.0723723\pi\)
\(434\) 7.52518 9.43628i 0.361220 0.452956i
\(435\) −0.0133507 + 0.00411814i −0.000640116 + 0.000197450i
\(436\) −4.30599 7.45818i −0.206219 0.357182i
\(437\) 10.6989 18.5311i 0.511800 0.886464i
\(438\) 7.74805 33.9464i 0.370216 1.62202i
\(439\) −39.1946 + 5.90764i −1.87066 + 0.281956i −0.983690 0.179874i \(-0.942431\pi\)
−0.886968 + 0.461831i \(0.847193\pi\)
\(440\) 0.723017 0.670861i 0.0344685 0.0319821i
\(441\) −15.9624 20.0162i −0.760112 0.953150i
\(442\) −5.00372 3.41148i −0.238003 0.162268i
\(443\) 3.82446 + 3.54858i 0.181705 + 0.168598i 0.765781 0.643101i \(-0.222352\pi\)
−0.584076 + 0.811699i \(0.698543\pi\)
\(444\) −0.00714047 + 0.0952829i −0.000338872 + 0.00452193i
\(445\) −0.386942 0.985913i −0.0183428 0.0467367i
\(446\) 13.0310 + 57.0926i 0.617036 + 2.70341i
\(447\) 12.1389 + 3.74436i 0.574151 + 0.177102i
\(448\) 20.0721 13.6849i 0.948318 0.646553i
\(449\) −17.9937 2.71211i −0.849174 0.127992i −0.289983 0.957032i \(-0.593650\pi\)
−0.559190 + 0.829039i \(0.688888\pi\)
\(450\) −30.3015 + 77.2071i −1.42843 + 3.63958i
\(451\) 19.6765 + 9.47568i 0.926528 + 0.446193i
\(452\) −13.7596 6.62629i −0.647199 0.311674i
\(453\) 8.48130 21.6100i 0.398486 1.01533i
\(454\) −2.34604 0.353609i −0.110105 0.0165957i
\(455\) −0.371172 + 0.253061i −0.0174008 + 0.0118637i
\(456\) 40.9630 + 12.6354i 1.91827 + 0.591707i
\(457\) −3.71097 16.2588i −0.173592 0.760555i −0.984500 0.175383i \(-0.943884\pi\)
0.810909 0.585173i \(-0.198973\pi\)
\(458\) 6.26464 + 15.9620i 0.292728 + 0.745858i
\(459\) −1.57129 + 20.9674i −0.0733415 + 0.978674i
\(460\) 1.41127 + 1.30947i 0.0658008 + 0.0610542i
\(461\) −19.7084 13.4370i −0.917912 0.625822i 0.00946308 0.999955i \(-0.496988\pi\)
−0.927375 + 0.374134i \(0.877940\pi\)
\(462\) 22.3872 + 28.0726i 1.04155 + 1.30606i
\(463\) −21.0248 + 19.5082i −0.977105 + 0.906621i −0.995647 0.0932067i \(-0.970288\pi\)
0.0185413 + 0.999828i \(0.494098\pi\)
\(464\) −0.00537233 0.000809748i −0.000249404 3.75916e-5i
\(465\) 0.278491 1.22015i 0.0129147 0.0565831i
\(466\) 3.52307 6.10214i 0.163203 0.282676i
\(467\) −14.0267 24.2950i −0.649079 1.12424i −0.983343 0.181759i \(-0.941821\pi\)
0.334264 0.942480i \(-0.391512\pi\)
\(468\) −38.9501 + 12.0145i −1.80047 + 0.555372i
\(469\) 9.02115 11.3122i 0.416558 0.522347i
\(470\) 0.131961 + 1.76089i 0.00608690 + 0.0812240i
\(471\) 7.30873 3.51970i 0.336768 0.162179i
\(472\) −5.92928 −0.272917
\(473\) −15.8991 6.59016i −0.731042 0.303016i
\(474\) 87.8698 4.03599
\(475\) −21.9565 + 10.5737i −1.00743 + 0.485154i
\(476\) −0.679807 9.07140i −0.0311589 0.415787i
\(477\) 35.2281 44.1747i 1.61299 2.02262i
\(478\) 23.6272 7.28802i 1.08068 0.333346i
\(479\) 5.20755 + 9.01975i 0.237939 + 0.412123i 0.960123 0.279579i \(-0.0901948\pi\)
−0.722184 + 0.691701i \(0.756861\pi\)
\(480\) 1.29285 2.23928i 0.0590102 0.102209i
\(481\) 0.00361594 0.0158425i 0.000164873 0.000722355i
\(482\) −18.2236 + 2.74677i −0.830063 + 0.125112i
\(483\) −19.2392 + 17.8514i −0.875414 + 0.812265i
\(484\) −8.19591 10.2773i −0.372541 0.467152i
\(485\) −0.183299 0.124971i −0.00832320 0.00567466i
\(486\) 51.0900 + 47.4046i 2.31749 + 2.15032i
\(487\) 0.961288 12.8275i 0.0435601 0.581270i −0.932131 0.362121i \(-0.882053\pi\)
0.975691 0.219149i \(-0.0703281\pi\)
\(488\) −12.1099 30.8555i −0.548189 1.39676i
\(489\) 9.72023 + 42.5871i 0.439564 + 1.92586i
\(490\) 1.05128 + 0.324275i 0.0474918 + 0.0146493i
\(491\) −14.1743 + 9.66387i −0.639677 + 0.436124i −0.839240 0.543761i \(-0.817000\pi\)
0.199563 + 0.979885i \(0.436048\pi\)
\(492\) −84.4457 12.7281i −3.80711 0.573829i
\(493\) −0.0175783 + 0.0447889i −0.000791689 + 0.00201719i
\(494\) −17.5402 8.44694i −0.789173 0.380046i
\(495\) 2.37786 + 1.14512i 0.106877 + 0.0514692i
\(496\) 0.177803 0.453035i 0.00798360 0.0203419i
\(497\) −24.2286 3.65188i −1.08680 0.163809i
\(498\) −26.0123 + 17.7349i −1.16564 + 0.794720i
\(499\) 25.1909 + 7.77036i 1.12770 + 0.347849i 0.801822 0.597563i \(-0.203864\pi\)
0.325877 + 0.945412i \(0.394341\pi\)
\(500\) −0.977650 4.28337i −0.0437219 0.191558i
\(501\) 5.63185 + 14.3497i 0.251612 + 0.641098i
\(502\) 1.29192 17.2395i 0.0576614 0.769438i
\(503\) 9.48122 + 8.79729i 0.422747 + 0.392252i 0.862656 0.505790i \(-0.168799\pi\)
−0.439910 + 0.898042i \(0.644990\pi\)
\(504\) −30.7941 20.9951i −1.37168 0.935195i
\(505\) −1.29315 1.62156i −0.0575444 0.0721584i
\(506\) −19.1836 + 17.7998i −0.852814 + 0.791296i
\(507\) −31.5934 + 4.76194i −1.40311 + 0.211485i
\(508\) 0.691967 3.03171i 0.0307011 0.134510i
\(509\) −5.76803 + 9.99052i −0.255663 + 0.442822i −0.965075 0.261972i \(-0.915627\pi\)
0.709412 + 0.704794i \(0.248961\pi\)
\(510\) −0.766668 1.32791i −0.0339486 0.0588007i
\(511\) −8.49977 + 2.62183i −0.376008 + 0.115983i
\(512\) 1.21185 1.51961i 0.0535567 0.0671580i
\(513\) 5.05120 + 67.4035i 0.223016 + 2.97594i
\(514\) 4.83567 2.32874i 0.213292 0.102716i
\(515\) 2.02556 0.0892570
\(516\) 67.0052 + 6.29974i 2.94974 + 0.277331i
\(517\) −14.7664 −0.649426
\(518\) 0.0357484 0.0172155i 0.00157070 0.000756407i
\(519\) −3.82708 51.0688i −0.167990 2.24167i
\(520\) 0.408960 0.512819i 0.0179341 0.0224886i
\(521\) 9.00500 2.77767i 0.394516 0.121692i −0.0911485 0.995837i \(-0.529054\pi\)
0.485665 + 0.874145i \(0.338578\pi\)
\(522\) 0.263209 + 0.455892i 0.0115204 + 0.0199538i
\(523\) 3.57717 6.19584i 0.156419 0.270925i −0.777156 0.629308i \(-0.783338\pi\)
0.933575 + 0.358383i \(0.116672\pi\)
\(524\) −0.824716 + 3.61332i −0.0360279 + 0.157848i
\(525\) 29.5567 4.45496i 1.28996 0.194430i
\(526\) 31.5543 29.2781i 1.37583 1.27659i
\(527\) −2.68726 3.36972i −0.117059 0.146787i
\(528\) 1.19627 + 0.815603i 0.0520610 + 0.0354946i
\(529\) 2.83812 + 2.63339i 0.123397 + 0.114495i
\(530\) −0.181443 + 2.42119i −0.00788140 + 0.105170i
\(531\) −5.79647 14.7692i −0.251545 0.640927i
\(532\) −6.50728 28.5102i −0.282126 1.23608i
\(533\) 13.8784 + 4.28091i 0.601139 + 0.185427i
\(534\) −46.5148 + 31.7132i −2.01289 + 1.37237i
\(535\) 0.466076 + 0.0702496i 0.0201502 + 0.00303715i
\(536\) −7.71814 + 19.6655i −0.333373 + 0.849420i
\(537\) −46.0848 22.1933i −1.98871 0.957711i
\(538\) 23.6891 + 11.4081i 1.02131 + 0.491837i
\(539\) −3.36106 + 8.56385i −0.144771 + 0.368871i
\(540\) −6.01347 0.906385i −0.258779 0.0390046i
\(541\) −8.53507 + 5.81911i −0.366951 + 0.250183i −0.732731 0.680518i \(-0.761755\pi\)
0.365780 + 0.930701i \(0.380802\pi\)
\(542\) −42.0902 12.9831i −1.80793 0.557673i
\(543\) 14.8577 + 65.0961i 0.637607 + 2.79354i
\(544\) −3.25324 8.28913i −0.139482 0.355393i
\(545\) −0.0277119 + 0.369790i −0.00118705 + 0.0158401i
\(546\) 17.5042 + 16.2415i 0.749110 + 0.695073i
\(547\) −15.8508 10.8069i −0.677732 0.462070i 0.174897 0.984587i \(-0.444041\pi\)
−0.852629 + 0.522517i \(0.824993\pi\)
\(548\) 42.7836 + 53.6489i 1.82762 + 2.29177i
\(549\) 65.0188 60.3287i 2.77494 2.57476i
\(550\) 29.4713 4.44208i 1.25666 0.189411i
\(551\) −0.0344182 + 0.150796i −0.00146627 + 0.00642413i
\(552\) 19.1604 33.1867i 0.815520 1.41252i
\(553\) −11.2236 19.4398i −0.477275 0.826665i
\(554\) 15.8999 4.90448i 0.675524 0.208372i
\(555\) 0.00256525 0.00321672i 0.000108889 0.000136542i
\(556\) −2.97246 39.6647i −0.126060 1.68216i
\(557\) 6.42632 3.09475i 0.272292 0.131129i −0.292755 0.956187i \(-0.594572\pi\)
0.565047 + 0.825058i \(0.308858\pi\)
\(558\) −47.1555 −1.99625
\(559\) −11.1084 2.75780i −0.469835 0.116642i
\(560\) −0.0442303 −0.00186907
\(561\) 11.5524 5.56335i 0.487743 0.234885i
\(562\) 1.79095 + 23.8986i 0.0755468 + 1.00810i
\(563\) −21.1930 + 26.5751i −0.893177 + 1.12001i 0.0989904 + 0.995088i \(0.468439\pi\)
−0.992167 + 0.124920i \(0.960133\pi\)
\(564\) 55.1769 17.0198i 2.32336 0.716663i
\(565\) 0.328803 + 0.569503i 0.0138328 + 0.0239592i
\(566\) −27.6916 + 47.9632i −1.16396 + 2.01604i
\(567\) 9.33298 40.8905i 0.391948 1.71724i
\(568\) 35.3762 5.33210i 1.48435 0.223730i
\(569\) 6.97134 6.46846i 0.292254 0.271172i −0.520395 0.853926i \(-0.674215\pi\)
0.812649 + 0.582754i \(0.198025\pi\)
\(570\) −3.07330 3.85379i −0.128726 0.161418i
\(571\) 12.2755 + 8.36930i 0.513714 + 0.350244i 0.792265 0.610177i \(-0.208902\pi\)
−0.278551 + 0.960421i \(0.589854\pi\)
\(572\) 10.7372 + 9.96265i 0.448944 + 0.416560i
\(573\) −4.77691 + 63.7435i −0.199558 + 2.66292i
\(574\) 12.9560 + 33.0112i 0.540771 + 1.37786i
\(575\) 4.84764 + 21.2389i 0.202160 + 0.885723i
\(576\) −90.6976 27.9765i −3.77907 1.16569i
\(577\) −7.65292 + 5.21767i −0.318595 + 0.217215i −0.712049 0.702130i \(-0.752233\pi\)
0.393454 + 0.919344i \(0.371280\pi\)
\(578\) 33.1015 + 4.98925i 1.37684 + 0.207525i
\(579\) 8.75768 22.3142i 0.363957 0.927347i
\(580\) −0.0125381 0.00603803i −0.000520617 0.000250716i
\(581\) 7.24611 + 3.48954i 0.300619 + 0.144771i
\(582\) −4.30816 + 10.9770i −0.178579 + 0.455012i
\(583\) −20.0767 3.02608i −0.831493 0.125327i
\(584\) 10.7308 7.31611i 0.444042 0.302743i
\(585\) 1.67717 + 0.517339i 0.0693425 + 0.0213893i
\(586\) 6.62031 + 29.0055i 0.273482 + 1.19820i
\(587\) 16.5518 + 42.1732i 0.683165 + 1.74068i 0.671792 + 0.740740i \(0.265525\pi\)
0.0113730 + 0.999935i \(0.496380\pi\)
\(588\) 2.68839 35.8740i 0.110867 1.47942i
\(589\) −10.1567 9.42406i −0.418500 0.388311i
\(590\) 0.563321 + 0.384065i 0.0231915 + 0.0158117i
\(591\) −53.2808 66.8121i −2.19168 2.74828i
\(592\) 0.00117283 0.00108823i 4.82031e−5 4.47259e-5i
\(593\) 7.25881 1.09409i 0.298084 0.0449289i 0.00170222 0.999999i \(-0.499458\pi\)
0.296381 + 0.955070i \(0.404220\pi\)
\(594\) 18.3947 80.5926i 0.754745 3.30676i
\(595\) −0.195852 + 0.339226i −0.00802916 + 0.0139069i
\(596\) 6.32657 + 10.9579i 0.259147 + 0.448855i
\(597\) −26.6896 + 8.23267i −1.09233 + 0.336941i
\(598\) −10.8508 + 13.6065i −0.443722 + 0.556410i
\(599\) −3.07834 41.0776i −0.125778 1.67838i −0.601565 0.798824i \(-0.705456\pi\)
0.475787 0.879560i \(-0.342163\pi\)
\(600\) −39.3211 + 18.9360i −1.60528 + 0.773061i
\(601\) 43.4446 1.77214 0.886072 0.463548i \(-0.153424\pi\)
0.886072 + 0.463548i \(0.153424\pi\)
\(602\) −11.6466 25.4046i −0.474681 1.03541i
\(603\) −56.5297 −2.30207
\(604\) 20.8332 10.0328i 0.847692 0.408227i
\(605\) 0.0422992 + 0.564443i 0.00171971 + 0.0229479i
\(606\) −68.7364 + 86.1927i −2.79223 + 3.50134i
\(607\) 1.26796 0.391113i 0.0514648 0.0158748i −0.268916 0.963164i \(-0.586665\pi\)
0.320381 + 0.947289i \(0.396189\pi\)
\(608\) −14.3128 24.7906i −0.580463 1.00539i
\(609\) 0.0948569 0.164297i 0.00384380 0.00665765i
\(610\) −0.848126 + 3.71588i −0.0343396 + 0.150452i
\(611\) −9.71034 + 1.46360i −0.392838 + 0.0592108i
\(612\) −26.0537 + 24.1743i −1.05316 + 0.977188i
\(613\) −21.9817 27.5641i −0.887831 1.11330i −0.992913 0.118841i \(-0.962082\pi\)
0.105083 0.994463i \(-0.466489\pi\)
\(614\) −39.4478 26.8950i −1.59198 1.08540i
\(615\) 2.69562 + 2.50117i 0.108698 + 0.100857i
\(616\) −1.00085 + 13.3554i −0.0403254 + 0.538105i
\(617\) 10.7690 + 27.4390i 0.433545 + 1.10465i 0.966079 + 0.258246i \(0.0831445\pi\)
−0.532534 + 0.846408i \(0.678760\pi\)
\(618\) −23.9582 104.968i −0.963741 4.22242i
\(619\) 17.1620 + 5.29376i 0.689797 + 0.212774i 0.619785 0.784772i \(-0.287220\pi\)
0.0700125 + 0.997546i \(0.477696\pi\)
\(620\) 1.02998 0.702228i 0.0413650 0.0282022i
\(621\) 59.7485 + 9.00564i 2.39763 + 0.361384i
\(622\) 13.8230 35.2204i 0.554252 1.41221i
\(623\) 12.9574 + 6.23994i 0.519126 + 0.249998i
\(624\) 0.867503 + 0.417767i 0.0347279 + 0.0167241i
\(625\) 9.02979 23.0075i 0.361191 0.920301i
\(626\) 25.2722 + 3.80917i 1.01008 + 0.152245i
\(627\) 34.0570 23.2197i 1.36011 0.927304i
\(628\) 7.72108 + 2.38164i 0.308105 + 0.0950378i
\(629\) −0.00315290 0.0138138i −0.000125715 0.000550791i
\(630\) 1.56570 + 3.98934i 0.0623790 + 0.158939i
\(631\) 2.35526 31.4287i 0.0937613 1.25116i −0.729693 0.683775i \(-0.760337\pi\)
0.823454 0.567382i \(-0.192044\pi\)
\(632\) 24.0258 + 22.2927i 0.955694 + 0.886755i
\(633\) 32.8681 + 22.4091i 1.30639 + 0.890681i
\(634\) 17.7319 + 22.2352i 0.704226 + 0.883071i
\(635\) −0.0981562 + 0.0910757i −0.00389521 + 0.00361423i
\(636\) 78.5075 11.8331i 3.11303 0.469213i
\(637\) −1.36140 + 5.96469i −0.0539407 + 0.236330i
\(638\) 0.0945827 0.163822i 0.00374457 0.00648578i
\(639\) 47.8654 + 82.9053i 1.89353 + 3.27968i
\(640\) 2.35799 0.727343i 0.0932077 0.0287508i
\(641\) −20.9076 + 26.2173i −0.825801 + 1.03552i 0.172919 + 0.984936i \(0.444680\pi\)
−0.998720 + 0.0505853i \(0.983891\pi\)
\(642\) −1.87227 24.9837i −0.0738925 0.986027i
\(643\) 21.8751 10.5345i 0.862671 0.415440i 0.0504059 0.998729i \(-0.483949\pi\)
0.812265 + 0.583288i \(0.198234\pi\)
\(644\) −26.1418 −1.03013
\(645\) −2.23106 1.84942i −0.0878480 0.0728210i
\(646\) −16.9752 −0.667881
\(647\) 19.8693 9.56853i 0.781141 0.376178i −0.000425210 1.00000i \(-0.500135\pi\)
0.781566 + 0.623822i \(0.214421\pi\)
\(648\) 4.57643 + 61.0682i 0.179779 + 2.39899i
\(649\) −3.55472 + 4.45747i −0.139535 + 0.174971i
\(650\) 18.9399 5.84219i 0.742885 0.229150i
\(651\) 8.49708 + 14.7174i 0.333027 + 0.576820i
\(652\) −21.7550 + 37.6807i −0.851990 + 1.47569i
\(653\) 4.42019 19.3661i 0.172975 0.757854i −0.811788 0.583952i \(-0.801505\pi\)
0.984763 0.173901i \(-0.0556374\pi\)
\(654\) 19.4909 2.93777i 0.762153 0.114876i
\(655\) 0.116987 0.108548i 0.00457105 0.00424131i
\(656\) 0.891568 + 1.11799i 0.0348099 + 0.0436502i
\(657\) 28.7140 + 19.5769i 1.12024 + 0.763766i
\(658\) −17.5770 16.3090i −0.685221 0.635792i
\(659\) 2.26853 30.2714i 0.0883693 1.17921i −0.760044 0.649871i \(-0.774823\pi\)
0.848413 0.529334i \(-0.177558\pi\)
\(660\) 1.35489 + 3.45220i 0.0527390 + 0.134377i
\(661\) 6.07455 + 26.6143i 0.236273 + 1.03518i 0.944324 + 0.329017i \(0.106717\pi\)
−0.708051 + 0.706161i \(0.750426\pi\)
\(662\) 9.25644 + 2.85523i 0.359762 + 0.110972i
\(663\) 7.04540 4.80347i 0.273621 0.186551i
\(664\) −11.6118 1.75019i −0.450624 0.0679207i
\(665\) −0.460040 + 1.17216i −0.0178396 + 0.0454545i
\(666\) −0.139669 0.0672612i −0.00541208 0.00260632i
\(667\) 0.124576 + 0.0599926i 0.00482360 + 0.00232292i
\(668\) −5.60962 + 14.2931i −0.217043 + 0.553016i
\(669\) −81.5345 12.2894i −3.15231 0.475134i
\(670\) 2.00709 1.36841i 0.0775408 0.0528664i
\(671\) −30.4564 9.39456i −1.17576 0.362673i
\(672\) 7.81283 + 34.2302i 0.301386 + 1.32046i
\(673\) −13.0634 33.2851i −0.503558 1.28304i −0.926297 0.376793i \(-0.877027\pi\)
0.422739 0.906251i \(-0.361069\pi\)
\(674\) 1.63798 21.8573i 0.0630925 0.841910i
\(675\) −50.4454 46.8065i −1.94165 1.80158i
\(676\) −26.2944 17.9272i −1.01132 0.689508i
\(677\) 21.3402 + 26.7597i 0.820169 + 1.02846i 0.999006 + 0.0445809i \(0.0141952\pi\)
−0.178837 + 0.983879i \(0.557233\pi\)
\(678\) 25.6235 23.7751i 0.984064 0.913078i
\(679\) 2.97877 0.448978i 0.114315 0.0172302i
\(680\) 0.127266 0.557587i 0.00488042 0.0213825i
\(681\) 1.67031 2.89306i 0.0640063 0.110862i
\(682\) 8.47252 + 14.6748i 0.324430 + 0.561929i
\(683\) −35.8880 + 11.0700i −1.37322 + 0.423581i −0.891609 0.452807i \(-0.850423\pi\)
−0.481606 + 0.876388i \(0.659947\pi\)
\(684\) −71.2364 + 89.3277i −2.72379 + 3.41553i
\(685\) −0.220806 2.94646i −0.00843658 0.112578i
\(686\) −40.3380 + 19.4258i −1.54011 + 0.741679i
\(687\) −24.1441 −0.921153
\(688\) −0.750708 0.840454i −0.0286205 0.0320420i
\(689\) −13.5023 −0.514397
\(690\) −3.97001 + 1.91186i −0.151136 + 0.0727831i
\(691\) −2.19499 29.2901i −0.0835013 1.11425i −0.868811 0.495144i \(-0.835115\pi\)
0.785309 0.619104i \(-0.212504\pi\)
\(692\) 31.8042 39.8812i 1.20901 1.51605i
\(693\) −34.2452 + 10.5632i −1.30087 + 0.401264i
\(694\) −11.3830 19.7160i −0.432093 0.748408i
\(695\) −0.856366 + 1.48327i −0.0324838 + 0.0562636i
\(696\) −0.0616384 + 0.270056i −0.00233640 + 0.0102364i
\(697\) 12.5224 1.88744i 0.474318 0.0714920i
\(698\) 1.05302 0.977057i 0.0398573 0.0369822i
\(699\) 6.18577 + 7.75671i 0.233967 + 0.293386i
\(700\) 24.5993 + 16.7715i 0.929765 + 0.633903i
\(701\) −12.2960 11.4090i −0.464414 0.430913i 0.412939 0.910759i \(-0.364502\pi\)
−0.877353 + 0.479846i \(0.840693\pi\)
\(702\) 4.10824 54.8207i 0.155056 2.06907i
\(703\) −0.0166409 0.0424003i −0.000627623 0.00159916i
\(704\) 7.58951 + 33.2518i 0.286040 + 1.25322i
\(705\) −2.37589 0.732864i −0.0894810 0.0276012i
\(706\) −33.1065 + 22.5716i −1.24598 + 0.849494i
\(707\) 27.8485 + 4.19748i 1.04735 + 0.157862i
\(708\) 8.14502 20.7532i 0.306109 0.779952i
\(709\) 29.2238 + 14.0735i 1.09752 + 0.528540i 0.892879 0.450296i \(-0.148682\pi\)
0.204645 + 0.978836i \(0.434396\pi\)
\(710\) −3.70635 1.78488i −0.139097 0.0669855i
\(711\) −32.0409 + 81.6388i −1.20163 + 3.06169i
\(712\) −20.7640 3.12967i −0.778163 0.117289i
\(713\) −10.2337 + 6.97719i −0.383253 + 0.261298i
\(714\) 19.8958 + 6.13703i 0.744580 + 0.229673i
\(715\) −0.140344 0.614889i −0.00524859 0.0229956i
\(716\) −18.6136 47.4266i −0.695621 1.77241i
\(717\) −2.60169 + 34.7172i −0.0971620 + 1.29654i
\(718\) 42.3964 + 39.3381i 1.58222 + 1.46809i
\(719\) 33.2805 + 22.6902i 1.24115 + 0.846203i 0.992483 0.122386i \(-0.0390545\pi\)
0.248669 + 0.968589i \(0.420007\pi\)
\(720\) 0.107744 + 0.135107i 0.00401539 + 0.00503513i
\(721\) −20.1623 + 18.7079i −0.750883 + 0.696718i
\(722\) −11.1288 + 1.67740i −0.414172 + 0.0624263i
\(723\) 5.77425 25.2987i 0.214747 0.940867i
\(724\) −33.2533 + 57.5964i −1.23585 + 2.14055i
\(725\) −0.0787365 0.136376i −0.00292420 0.00506486i
\(726\) 28.7500 8.86821i 1.06701 0.329130i
\(727\) 6.45140 8.08980i 0.239269 0.300034i −0.647669 0.761921i \(-0.724256\pi\)
0.886939 + 0.461888i \(0.152828\pi\)
\(728\) 0.665589 + 8.88167i 0.0246684 + 0.329176i
\(729\) −27.7731 + 13.3748i −1.02863 + 0.495364i
\(730\) −1.49339 −0.0552728
\(731\) −9.77005 + 2.03605i −0.361358 + 0.0753059i
\(732\) 124.633 4.60657
\(733\) −38.8093 + 18.6896i −1.43346 + 0.690316i −0.979637 0.200779i \(-0.935653\pi\)
−0.453819 + 0.891094i \(0.649939\pi\)
\(734\) −2.93997 39.2312i −0.108516 1.44805i
\(735\) −0.965816 + 1.21109i −0.0356247 + 0.0446719i
\(736\) −24.4527 + 7.54265i −0.901338 + 0.278026i
\(737\) 10.1568 + 17.5921i 0.374131 + 0.648014i
\(738\) 69.2765 119.990i 2.55010 4.41691i
\(739\) 2.09648 9.18528i 0.0771202 0.337886i −0.921618 0.388097i \(-0.873132\pi\)
0.998739 + 0.0502115i \(0.0159896\pi\)
\(740\) 0.00405233 0.000610790i 0.000148966 2.24531e-5i
\(741\) 20.0943 18.6448i 0.738183 0.684934i
\(742\) −20.5558 25.7762i −0.754627 0.946272i
\(743\) 16.4413 + 11.2095i 0.603173 + 0.411236i 0.826039 0.563613i \(-0.190589\pi\)
−0.222867 + 0.974849i \(0.571541\pi\)
\(744\) −18.1893 16.8772i −0.666853 0.618749i
\(745\) 0.0407158 0.543314i 0.00149171 0.0199055i
\(746\) −21.4616 54.6833i −0.785765 2.00210i
\(747\) −6.99214 30.6346i −0.255829 1.12086i
\(748\) 12.2042 + 3.76450i 0.446230 + 0.137644i
\(749\) −5.28810 + 3.60536i −0.193223 + 0.131737i
\(750\) 9.94354 + 1.49875i 0.363087 + 0.0547265i
\(751\) 4.69599 11.9652i 0.171359 0.436616i −0.819233 0.573460i \(-0.805601\pi\)
0.990593 + 0.136844i \(0.0436960\pi\)
\(752\) −0.871109 0.419504i −0.0317661 0.0152977i
\(753\) 21.9313 + 10.5615i 0.799220 + 0.384884i
\(754\) 0.0459598 0.117104i 0.00167376 0.00426466i
\(755\) −0.984549 0.148397i −0.0358314 0.00540072i
\(756\) 68.2289 46.5177i 2.48146 1.69183i
\(757\) 41.0571 + 12.6644i 1.49224 + 0.460297i 0.930276 0.366862i \(-0.119568\pi\)
0.561969 + 0.827158i \(0.310044\pi\)
\(758\) −10.6725 46.7593i −0.387643 1.69837i
\(759\) −13.4619 34.3003i −0.488635 1.24502i
\(760\) 0.137396 1.83342i 0.00498388 0.0665052i
\(761\) 23.0525 + 21.3896i 0.835652 + 0.775371i 0.976695 0.214632i \(-0.0688552\pi\)
−0.141043 + 0.990003i \(0.545046\pi\)
\(762\) 5.88067 + 4.00937i 0.213034 + 0.145244i
\(763\) −3.13950 3.93680i −0.113657 0.142522i
\(764\) −46.6734 + 43.3066i −1.68858 + 1.56678i
\(765\) 1.51330 0.228093i 0.0547135 0.00824673i
\(766\) −12.2901 + 53.8464i −0.444059 + 1.94555i
\(767\) −1.89576 + 3.28355i −0.0684519 + 0.118562i
\(768\) −23.8686 41.3417i −0.861285 1.49179i
\(769\) 12.8329 3.95844i 0.462767 0.142745i −0.0545998 0.998508i \(-0.517388\pi\)
0.517367 + 0.855763i \(0.326912\pi\)
\(770\) 0.960175 1.20402i 0.0346023 0.0433899i
\(771\) 0.564748 + 7.53604i 0.0203389 + 0.271404i