Properties

Label 378.2.u.b.211.1
Level 378
Weight 2
Character 378.211
Analytic conductor 3.018
Analytic rank 0
Dimension 12
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 378.u (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.01834519640\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{9})\)
Coefficient field: 12.0.1952986685049.1
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 211.1
Root \(0.500000 - 2.22827i\)
Character \(\chi\) = 378.211
Dual form 378.2.u.b.43.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.766044 - 0.642788i) q^{2} +(-1.67071 + 0.456871i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-1.78124 + 0.648319i) q^{5} +(-0.986166 + 1.42389i) q^{6} +(0.173648 + 0.984808i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(2.58254 - 1.52660i) q^{9} +O(q^{10})\) \(q+(0.766044 - 0.642788i) q^{2} +(-1.67071 + 0.456871i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-1.78124 + 0.648319i) q^{5} +(-0.986166 + 1.42389i) q^{6} +(0.173648 + 0.984808i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(2.58254 - 1.52660i) q^{9} +(-0.947779 + 1.64160i) q^{10} +(4.90067 + 1.78370i) q^{11} +(0.159815 + 1.72466i) q^{12} +(4.25805 + 3.57293i) q^{13} +(0.766044 + 0.642788i) q^{14} +(2.67974 - 1.89695i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(2.07824 - 3.59961i) q^{17} +(0.997061 - 2.82946i) q^{18} +(1.35633 + 2.34922i) q^{19} +(0.329160 + 1.86676i) q^{20} +(-0.740046 - 1.56599i) q^{21} +(4.90067 - 1.78370i) q^{22} +(0.529358 - 3.00214i) q^{23} +(1.23102 + 1.21844i) q^{24} +(-1.07772 + 0.904313i) q^{25} +5.55849 q^{26} +(-3.61721 + 3.73039i) q^{27} +1.00000 q^{28} +(-3.78733 + 3.17795i) q^{29} +(0.833463 - 3.17565i) q^{30} +(-1.79730 + 10.1930i) q^{31} +(-0.939693 + 0.342020i) q^{32} +(-9.00252 - 0.741067i) q^{33} +(-0.721763 - 4.09332i) q^{34} +(-0.947779 - 1.64160i) q^{35} +(-1.05495 - 2.80839i) q^{36} +(5.29467 - 9.17063i) q^{37} +(2.54906 + 0.927781i) q^{38} +(-8.74633 - 4.02394i) q^{39} +(1.45208 + 1.21844i) q^{40} +(-0.771960 - 0.647752i) q^{41} +(-1.57351 - 0.723928i) q^{42} +(8.48794 + 3.08936i) q^{43} +(2.60759 - 4.51648i) q^{44} +(-3.61040 + 4.39355i) q^{45} +(-1.52423 - 2.64004i) q^{46} +(-1.04196 - 5.90923i) q^{47} +(1.72621 + 0.142098i) q^{48} +(-0.939693 + 0.342020i) q^{49} +(-0.244299 + 1.38549i) q^{50} +(-1.82757 + 6.96338i) q^{51} +(4.25805 - 3.57293i) q^{52} -1.27451 q^{53} +(-0.373098 + 5.18274i) q^{54} -9.88569 q^{55} +(0.766044 - 0.642788i) q^{56} +(-3.33932 - 3.30521i) q^{57} +(-0.858518 + 4.86890i) q^{58} +(-3.28812 + 1.19678i) q^{59} +(-1.40280 - 2.96843i) q^{60} +(-2.40588 - 13.6444i) q^{61} +(5.17513 + 8.96359i) q^{62} +(1.95186 + 2.27821i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-9.90102 - 3.60367i) q^{65} +(-7.37268 + 5.21902i) q^{66} +(6.83683 + 5.73678i) q^{67} +(-3.18404 - 2.67173i) q^{68} +(0.487187 + 5.25755i) q^{69} +(-1.78124 - 0.648319i) q^{70} +(-1.93862 + 3.35779i) q^{71} +(-2.61334 - 1.47324i) q^{72} +(5.00701 + 8.67239i) q^{73} +(-1.83882 - 10.4285i) q^{74} +(1.38740 - 2.00322i) q^{75} +(2.54906 - 0.927781i) q^{76} +(-0.905608 + 5.13596i) q^{77} +(-9.28662 + 2.53951i) q^{78} +(-7.44513 + 6.24720i) q^{79} +1.89556 q^{80} +(4.33900 - 7.88499i) q^{81} -1.00772 q^{82} +(2.87989 - 2.41651i) q^{83} +(-1.67071 + 0.456871i) q^{84} +(-1.36814 + 7.75913i) q^{85} +(8.48794 - 3.08936i) q^{86} +(4.87562 - 7.03975i) q^{87} +(-0.905608 - 5.13596i) q^{88} +(-6.98840 - 12.1043i) q^{89} +(0.0583890 + 5.68637i) q^{90} +(-2.77925 + 4.81379i) q^{91} +(-2.86461 - 1.04263i) q^{92} +(-1.65412 - 17.8507i) q^{93} +(-4.59657 - 3.85698i) q^{94} +(-3.93899 - 3.30521i) q^{95} +(1.41369 - 1.00073i) q^{96} +(-1.06598 - 0.387987i) q^{97} +(-0.500000 + 0.866025i) q^{98} +(15.3792 - 2.87488i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q + 3q^{3} - 6q^{6} - 6q^{8} + 9q^{9} + O(q^{10}) \) \( 12q + 3q^{3} - 6q^{6} - 6q^{8} + 9q^{9} + 3q^{11} - 6q^{12} + 12q^{13} + 9q^{15} - 9q^{18} + 12q^{19} - 9q^{20} + 3q^{21} + 3q^{22} + 12q^{23} + 3q^{24} - 24q^{25} - 18q^{26} + 18q^{27} + 12q^{28} - 3q^{29} + 21q^{31} - 27q^{33} + 9q^{34} + 15q^{37} + 15q^{38} - 48q^{39} + 9q^{40} + 12q^{41} + 3q^{42} + 21q^{43} + 12q^{44} - 9q^{45} - 6q^{46} + 12q^{47} + 3q^{48} + 21q^{50} - 9q^{51} + 12q^{52} - 42q^{53} - 27q^{54} - 12q^{55} + 33q^{57} - 3q^{58} + 18q^{59} - 18q^{60} + 9q^{62} + 9q^{63} - 6q^{64} - 36q^{65} - 9q^{66} - 33q^{67} - 18q^{68} + 9q^{69} + 24q^{71} - 18q^{72} + 9q^{73} - 36q^{74} - 33q^{75} + 15q^{76} + 3q^{77} - 21q^{78} + 9q^{81} - 24q^{82} + 15q^{83} + 3q^{84} - 24q^{85} + 21q^{86} + 3q^{88} - 51q^{89} + 9q^{91} - 6q^{92} - 30q^{93} - 15q^{94} - 45q^{95} + 3q^{96} + 48q^{97} - 6q^{98} + 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(325\)
\(\chi(n)\) \(e\left(\frac{7}{9}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.766044 0.642788i 0.541675 0.454519i
\(3\) −1.67071 + 0.456871i −0.964584 + 0.263775i
\(4\) 0.173648 0.984808i 0.0868241 0.492404i
\(5\) −1.78124 + 0.648319i −0.796595 + 0.289937i −0.708075 0.706137i \(-0.750436\pi\)
−0.0885205 + 0.996074i \(0.528214\pi\)
\(6\) −0.986166 + 1.42389i −0.402601 + 0.581303i
\(7\) 0.173648 + 0.984808i 0.0656328 + 0.372222i
\(8\) −0.500000 0.866025i −0.176777 0.306186i
\(9\) 2.58254 1.52660i 0.860846 0.508866i
\(10\) −0.947779 + 1.64160i −0.299714 + 0.519120i
\(11\) 4.90067 + 1.78370i 1.47761 + 0.537805i 0.950155 0.311778i \(-0.100925\pi\)
0.527454 + 0.849584i \(0.323147\pi\)
\(12\) 0.159815 + 1.72466i 0.0461345 + 0.497867i
\(13\) 4.25805 + 3.57293i 1.18097 + 0.990952i 0.999972 + 0.00746894i \(0.00237746\pi\)
0.180999 + 0.983483i \(0.442067\pi\)
\(14\) 0.766044 + 0.642788i 0.204734 + 0.171792i
\(15\) 2.67974 1.89695i 0.691905 0.489790i
\(16\) −0.939693 0.342020i −0.234923 0.0855050i
\(17\) 2.07824 3.59961i 0.504046 0.873033i −0.495943 0.868355i \(-0.665178\pi\)
0.999989 0.00467830i \(-0.00148915\pi\)
\(18\) 0.997061 2.82946i 0.235010 0.666911i
\(19\) 1.35633 + 2.34922i 0.311162 + 0.538949i 0.978614 0.205704i \(-0.0659483\pi\)
−0.667452 + 0.744653i \(0.732615\pi\)
\(20\) 0.329160 + 1.86676i 0.0736024 + 0.417420i
\(21\) −0.740046 1.56599i −0.161491 0.341728i
\(22\) 4.90067 1.78370i 1.04483 0.380286i
\(23\) 0.529358 3.00214i 0.110379 0.625989i −0.878556 0.477639i \(-0.841493\pi\)
0.988935 0.148350i \(-0.0473963\pi\)
\(24\) 1.23102 + 1.21844i 0.251280 + 0.248713i
\(25\) −1.07772 + 0.904313i −0.215544 + 0.180863i
\(26\) 5.55849 1.09011
\(27\) −3.61721 + 3.73039i −0.696133 + 0.717913i
\(28\) 1.00000 0.188982
\(29\) −3.78733 + 3.17795i −0.703290 + 0.590130i −0.922708 0.385501i \(-0.874029\pi\)
0.219418 + 0.975631i \(0.429584\pi\)
\(30\) 0.833463 3.17565i 0.152169 0.579792i
\(31\) −1.79730 + 10.1930i −0.322805 + 1.83072i 0.201864 + 0.979414i \(0.435300\pi\)
−0.524669 + 0.851306i \(0.675811\pi\)
\(32\) −0.939693 + 0.342020i −0.166116 + 0.0604612i
\(33\) −9.00252 0.741067i −1.56714 0.129003i
\(34\) −0.721763 4.09332i −0.123781 0.701999i
\(35\) −0.947779 1.64160i −0.160204 0.277481i
\(36\) −1.05495 2.80839i −0.175825 0.468066i
\(37\) 5.29467 9.17063i 0.870438 1.50764i 0.00889327 0.999960i \(-0.497169\pi\)
0.861545 0.507682i \(-0.169498\pi\)
\(38\) 2.54906 + 0.927781i 0.413512 + 0.150506i
\(39\) −8.74633 4.02394i −1.40053 0.644347i
\(40\) 1.45208 + 1.21844i 0.229594 + 0.192652i
\(41\) −0.771960 0.647752i −0.120560 0.101162i 0.580514 0.814250i \(-0.302851\pi\)
−0.701074 + 0.713088i \(0.747296\pi\)
\(42\) −1.57351 0.723928i −0.242798 0.111704i
\(43\) 8.48794 + 3.08936i 1.29440 + 0.471122i 0.895168 0.445728i \(-0.147055\pi\)
0.399230 + 0.916851i \(0.369277\pi\)
\(44\) 2.60759 4.51648i 0.393109 0.680886i
\(45\) −3.61040 + 4.39355i −0.538207 + 0.654951i
\(46\) −1.52423 2.64004i −0.224735 0.389252i
\(47\) −1.04196 5.90923i −0.151985 0.861950i −0.961491 0.274838i \(-0.911376\pi\)
0.809505 0.587112i \(-0.199735\pi\)
\(48\) 1.72621 + 0.142098i 0.249157 + 0.0205101i
\(49\) −0.939693 + 0.342020i −0.134242 + 0.0488600i
\(50\) −0.244299 + 1.38549i −0.0345491 + 0.195938i
\(51\) −1.82757 + 6.96338i −0.255911 + 0.975069i
\(52\) 4.25805 3.57293i 0.590485 0.495476i
\(53\) −1.27451 −0.175068 −0.0875339 0.996162i \(-0.527899\pi\)
−0.0875339 + 0.996162i \(0.527899\pi\)
\(54\) −0.373098 + 5.18274i −0.0507723 + 0.705282i
\(55\) −9.88569 −1.33299
\(56\) 0.766044 0.642788i 0.102367 0.0858961i
\(57\) −3.33932 3.30521i −0.442304 0.437785i
\(58\) −0.858518 + 4.86890i −0.112729 + 0.639318i
\(59\) −3.28812 + 1.19678i −0.428077 + 0.155807i −0.547068 0.837088i \(-0.684256\pi\)
0.118991 + 0.992895i \(0.462034\pi\)
\(60\) −1.40280 2.96843i −0.181101 0.383223i
\(61\) −2.40588 13.6444i −0.308042 1.74699i −0.608831 0.793300i \(-0.708361\pi\)
0.300789 0.953691i \(-0.402750\pi\)
\(62\) 5.17513 + 8.96359i 0.657242 + 1.13838i
\(63\) 1.95186 + 2.27821i 0.245911 + 0.287028i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) −9.90102 3.60367i −1.22807 0.446981i
\(66\) −7.37268 + 5.21902i −0.907514 + 0.642417i
\(67\) 6.83683 + 5.73678i 0.835251 + 0.700859i 0.956490 0.291764i \(-0.0942423\pi\)
−0.121239 + 0.992623i \(0.538687\pi\)
\(68\) −3.18404 2.67173i −0.386122 0.323995i
\(69\) 0.487187 + 5.25755i 0.0586504 + 0.632935i
\(70\) −1.78124 0.648319i −0.212899 0.0774889i
\(71\) −1.93862 + 3.35779i −0.230072 + 0.398496i −0.957829 0.287339i \(-0.907229\pi\)
0.727757 + 0.685835i \(0.240563\pi\)
\(72\) −2.61334 1.47324i −0.307985 0.173624i
\(73\) 5.00701 + 8.67239i 0.586026 + 1.01503i 0.994747 + 0.102367i \(0.0326416\pi\)
−0.408721 + 0.912659i \(0.634025\pi\)
\(74\) −1.83882 10.4285i −0.213758 1.21228i
\(75\) 1.38740 2.00322i 0.160203 0.231312i
\(76\) 2.54906 0.927781i 0.292397 0.106424i
\(77\) −0.905608 + 5.13596i −0.103204 + 0.585297i
\(78\) −9.28662 + 2.53951i −1.05150 + 0.287543i
\(79\) −7.44513 + 6.24720i −0.837642 + 0.702865i −0.957032 0.289982i \(-0.906351\pi\)
0.119390 + 0.992847i \(0.461906\pi\)
\(80\) 1.89556 0.211930
\(81\) 4.33900 7.88499i 0.482111 0.876110i
\(82\) −1.00772 −0.111284
\(83\) 2.87989 2.41651i 0.316109 0.265247i −0.470903 0.882185i \(-0.656072\pi\)
0.787011 + 0.616938i \(0.211627\pi\)
\(84\) −1.67071 + 0.456871i −0.182289 + 0.0498487i
\(85\) −1.36814 + 7.75913i −0.148396 + 0.841596i
\(86\) 8.48794 3.08936i 0.915278 0.333134i
\(87\) 4.87562 7.03975i 0.522721 0.754740i
\(88\) −0.905608 5.13596i −0.0965381 0.547495i
\(89\) −6.98840 12.1043i −0.740768 1.28305i −0.952146 0.305644i \(-0.901128\pi\)
0.211377 0.977405i \(-0.432205\pi\)
\(90\) 0.0583890 + 5.68637i 0.00615474 + 0.599396i
\(91\) −2.77925 + 4.81379i −0.291344 + 0.504623i
\(92\) −2.86461 1.04263i −0.298656 0.108702i
\(93\) −1.65412 17.8507i −0.171524 1.85103i
\(94\) −4.59657 3.85698i −0.474100 0.397817i
\(95\) −3.93899 3.30521i −0.404132 0.339107i
\(96\) 1.41369 1.00073i 0.144285 0.102137i
\(97\) −1.06598 0.387987i −0.108234 0.0393941i 0.287335 0.957830i \(-0.407231\pi\)
−0.395570 + 0.918436i \(0.629453\pi\)
\(98\) −0.500000 + 0.866025i −0.0505076 + 0.0874818i
\(99\) 15.3792 2.87488i 1.54566 0.288937i
\(100\) 0.703431 + 1.21838i 0.0703431 + 0.121838i
\(101\) −0.646320 3.66546i −0.0643112 0.364727i −0.999931 0.0117185i \(-0.996270\pi\)
0.935620 0.353008i \(-0.114841\pi\)
\(102\) 3.07598 + 6.50900i 0.304567 + 0.644487i
\(103\) −0.291324 + 0.106033i −0.0287050 + 0.0104478i −0.356333 0.934359i \(-0.615973\pi\)
0.327628 + 0.944807i \(0.393751\pi\)
\(104\) 0.965222 5.47405i 0.0946478 0.536774i
\(105\) 2.33346 + 2.30963i 0.227723 + 0.225396i
\(106\) −0.976334 + 0.819241i −0.0948299 + 0.0795718i
\(107\) 11.8843 1.14890 0.574448 0.818541i \(-0.305217\pi\)
0.574448 + 0.818541i \(0.305217\pi\)
\(108\) 3.04559 + 4.21003i 0.293062 + 0.405111i
\(109\) −13.2862 −1.27259 −0.636296 0.771445i \(-0.719534\pi\)
−0.636296 + 0.771445i \(0.719534\pi\)
\(110\) −7.57288 + 6.35440i −0.722045 + 0.605868i
\(111\) −4.65605 + 17.7404i −0.441933 + 1.68385i
\(112\) 0.173648 0.984808i 0.0164082 0.0930556i
\(113\) −12.0671 + 4.39206i −1.13517 + 0.413170i −0.840168 0.542325i \(-0.817544\pi\)
−0.295006 + 0.955495i \(0.595322\pi\)
\(114\) −4.68261 0.385462i −0.438567 0.0361018i
\(115\) 1.00343 + 5.69073i 0.0935702 + 0.530663i
\(116\) 2.47201 + 4.28164i 0.229520 + 0.397540i
\(117\) 16.4510 + 2.72690i 1.52090 + 0.252102i
\(118\) −1.74957 + 3.03035i −0.161061 + 0.278966i
\(119\) 3.90580 + 1.42160i 0.358045 + 0.130318i
\(120\) −2.98268 1.37225i −0.272280 0.125268i
\(121\) 12.4085 + 10.4120i 1.12805 + 0.946544i
\(122\) −10.6135 8.90577i −0.960900 0.806291i
\(123\) 1.58566 + 0.729518i 0.142974 + 0.0657784i
\(124\) 9.72606 + 3.54000i 0.873426 + 0.317901i
\(125\) 6.07229 10.5175i 0.543122 0.940715i
\(126\) 2.95962 + 0.490582i 0.263664 + 0.0437045i
\(127\) −2.61394 4.52747i −0.231949 0.401748i 0.726432 0.687238i \(-0.241177\pi\)
−0.958382 + 0.285490i \(0.907844\pi\)
\(128\) 0.173648 + 0.984808i 0.0153485 + 0.0870455i
\(129\) −15.5923 1.28352i −1.37283 0.113008i
\(130\) −9.90102 + 3.60367i −0.868376 + 0.316063i
\(131\) −0.968590 + 5.49315i −0.0846261 + 0.479939i 0.912810 + 0.408383i \(0.133907\pi\)
−0.997437 + 0.0715553i \(0.977204\pi\)
\(132\) −2.29308 + 8.73707i −0.199587 + 0.760464i
\(133\) −2.07801 + 1.74366i −0.180186 + 0.151194i
\(134\) 8.92484 0.770989
\(135\) 4.02465 8.98983i 0.346386 0.773721i
\(136\) −4.15647 −0.356414
\(137\) 13.3511 11.2029i 1.14066 0.957129i 0.141202 0.989981i \(-0.454903\pi\)
0.999460 + 0.0328513i \(0.0104588\pi\)
\(138\) 3.75270 + 3.71436i 0.319451 + 0.316187i
\(139\) 0.393760 2.23312i 0.0333983 0.189411i −0.963544 0.267549i \(-0.913786\pi\)
0.996943 + 0.0781378i \(0.0248974\pi\)
\(140\) −1.78124 + 0.648319i −0.150542 + 0.0547929i
\(141\) 4.44057 + 9.39657i 0.373963 + 0.791334i
\(142\) 0.673275 + 3.81833i 0.0565000 + 0.320427i
\(143\) 14.4943 + 25.1048i 1.21207 + 2.09937i
\(144\) −2.94892 + 0.551252i −0.245743 + 0.0459377i
\(145\) 4.68583 8.11609i 0.389137 0.674005i
\(146\) 9.41009 + 3.42499i 0.778785 + 0.283455i
\(147\) 1.41369 1.00073i 0.116600 0.0825392i
\(148\) −8.11190 6.80669i −0.666794 0.559507i
\(149\) 0.422702 + 0.354689i 0.0346291 + 0.0290573i 0.659938 0.751320i \(-0.270583\pi\)
−0.625309 + 0.780377i \(0.715027\pi\)
\(150\) −0.224837 2.42636i −0.0183579 0.198111i
\(151\) −14.4242 5.24999i −1.17383 0.427238i −0.319809 0.947482i \(-0.603619\pi\)
−0.854018 + 0.520244i \(0.825841\pi\)
\(152\) 1.35633 2.34922i 0.110013 0.190547i
\(153\) −0.128032 12.4688i −0.0103508 1.00804i
\(154\) 2.60759 + 4.51648i 0.210126 + 0.363949i
\(155\) −3.40689 19.3215i −0.273648 1.55194i
\(156\) −5.48160 + 7.91471i −0.438879 + 0.633684i
\(157\) 10.8571 3.95167i 0.866493 0.315378i 0.129747 0.991547i \(-0.458584\pi\)
0.736746 + 0.676170i \(0.236361\pi\)
\(158\) −1.68767 + 9.57127i −0.134264 + 0.761449i
\(159\) 2.12934 0.582288i 0.168868 0.0461785i
\(160\) 1.45208 1.21844i 0.114797 0.0963262i
\(161\) 3.04845 0.240252
\(162\) −1.74451 8.82931i −0.137061 0.693696i
\(163\) −7.32769 −0.573949 −0.286974 0.957938i \(-0.592649\pi\)
−0.286974 + 0.957938i \(0.592649\pi\)
\(164\) −0.771960 + 0.647752i −0.0602800 + 0.0505809i
\(165\) 16.5161 4.51648i 1.28578 0.351608i
\(166\) 0.652817 3.70231i 0.0506685 0.287355i
\(167\) 1.08894 0.396342i 0.0842647 0.0306698i −0.299544 0.954083i \(-0.596834\pi\)
0.383809 + 0.923413i \(0.374612\pi\)
\(168\) −0.986166 + 1.42389i −0.0760844 + 0.109856i
\(169\) 3.10775 + 17.6249i 0.239058 + 1.35576i
\(170\) 3.93941 + 6.82327i 0.302139 + 0.523321i
\(171\) 7.08908 + 3.99640i 0.542116 + 0.305612i
\(172\) 4.51634 7.82252i 0.344367 0.596462i
\(173\) −16.9085 6.15418i −1.28553 0.467894i −0.393271 0.919422i \(-0.628657\pi\)
−0.892257 + 0.451528i \(0.850879\pi\)
\(174\) −0.790125 8.52675i −0.0598992 0.646411i
\(175\) −1.07772 0.904313i −0.0814678 0.0683596i
\(176\) −3.99506 3.35226i −0.301139 0.252686i
\(177\) 4.94672 3.50172i 0.371818 0.263205i
\(178\) −13.1339 4.78034i −0.984426 0.358302i
\(179\) 1.47375 2.55260i 0.110153 0.190790i −0.805679 0.592353i \(-0.798199\pi\)
0.915832 + 0.401562i \(0.131533\pi\)
\(180\) 3.69986 + 4.31848i 0.275771 + 0.321881i
\(181\) −6.81730 11.8079i −0.506726 0.877675i −0.999970 0.00778391i \(-0.997522\pi\)
0.493244 0.869891i \(-0.335811\pi\)
\(182\) 0.965222 + 5.47405i 0.0715470 + 0.405763i
\(183\) 10.2533 + 21.6967i 0.757944 + 1.60387i
\(184\) −2.86461 + 1.04263i −0.211182 + 0.0768639i
\(185\) −3.48559 + 19.7677i −0.256265 + 1.45335i
\(186\) −12.7413 12.6112i −0.934241 0.924697i
\(187\) 16.6054 13.9336i 1.21430 1.01892i
\(188\) −6.00039 −0.437624
\(189\) −4.30184 2.91448i −0.312912 0.211997i
\(190\) −5.14199 −0.373039
\(191\) −3.88381 + 3.25890i −0.281022 + 0.235806i −0.772393 0.635145i \(-0.780940\pi\)
0.491371 + 0.870950i \(0.336496\pi\)
\(192\) 0.439693 1.67531i 0.0317321 0.120905i
\(193\) 2.97118 16.8504i 0.213870 1.21292i −0.668986 0.743275i \(-0.733272\pi\)
0.882856 0.469643i \(-0.155617\pi\)
\(194\) −1.06598 + 0.387987i −0.0765332 + 0.0278558i
\(195\) 18.1881 + 1.49721i 1.30248 + 0.107217i
\(196\) 0.173648 + 0.984808i 0.0124034 + 0.0703434i
\(197\) −0.276694 0.479248i −0.0197136 0.0341450i 0.856000 0.516975i \(-0.172942\pi\)
−0.875714 + 0.482830i \(0.839609\pi\)
\(198\) 9.93318 12.0878i 0.705920 0.859044i
\(199\) 2.08088 3.60419i 0.147510 0.255495i −0.782797 0.622278i \(-0.786208\pi\)
0.930307 + 0.366783i \(0.119541\pi\)
\(200\) 1.32202 + 0.481175i 0.0934807 + 0.0340242i
\(201\) −14.0433 6.46094i −0.990539 0.455720i
\(202\) −2.85122 2.39246i −0.200611 0.168333i
\(203\) −3.78733 3.17795i −0.265819 0.223048i
\(204\) 6.54024 + 3.00898i 0.457908 + 0.210671i
\(205\) 1.79500 + 0.653326i 0.125368 + 0.0456302i
\(206\) −0.155010 + 0.268486i −0.0108001 + 0.0187063i
\(207\) −3.21597 8.56126i −0.223525 0.595048i
\(208\) −2.77925 4.81379i −0.192706 0.333777i
\(209\) 2.45660 + 13.9321i 0.169926 + 0.963701i
\(210\) 3.27213 + 0.269355i 0.225799 + 0.0185872i
\(211\) 0.710096 0.258454i 0.0488850 0.0177927i −0.317462 0.948271i \(-0.602831\pi\)
0.366347 + 0.930478i \(0.380608\pi\)
\(212\) −0.221317 + 1.25515i −0.0152001 + 0.0862041i
\(213\) 1.70479 6.49558i 0.116810 0.445070i
\(214\) 9.10388 7.63906i 0.622328 0.522195i
\(215\) −17.1220 −1.16771
\(216\) 5.03922 + 1.26740i 0.342875 + 0.0862359i
\(217\) −10.3503 −0.702622
\(218\) −10.1779 + 8.54023i −0.689331 + 0.578418i
\(219\) −12.3274 12.2015i −0.833009 0.824500i
\(220\) −1.71663 + 9.73550i −0.115735 + 0.656367i
\(221\) 21.7104 7.90193i 1.46040 0.531541i
\(222\) 7.83659 + 16.5828i 0.525958 + 1.11297i
\(223\) −2.98689 16.9395i −0.200017 1.13435i −0.905091 0.425219i \(-0.860197\pi\)
0.705074 0.709134i \(-0.250914\pi\)
\(224\) −0.500000 0.866025i −0.0334077 0.0578638i
\(225\) −1.40273 + 3.98066i −0.0935151 + 0.265378i
\(226\) −6.42076 + 11.1211i −0.427102 + 0.739763i
\(227\) 4.72912 + 1.72126i 0.313883 + 0.114244i 0.494158 0.869372i \(-0.335476\pi\)
−0.180275 + 0.983616i \(0.557699\pi\)
\(228\) −3.83486 + 2.71464i −0.253970 + 0.179782i
\(229\) 20.7207 + 17.3867i 1.36926 + 1.14894i 0.973000 + 0.230806i \(0.0741364\pi\)
0.396260 + 0.918138i \(0.370308\pi\)
\(230\) 4.42660 + 3.71436i 0.291881 + 0.244918i
\(231\) −0.833463 8.99443i −0.0548378 0.591790i
\(232\) 4.64585 + 1.69095i 0.305015 + 0.111016i
\(233\) −11.5197 + 19.9528i −0.754682 + 1.30715i 0.190850 + 0.981619i \(0.438876\pi\)
−0.945532 + 0.325529i \(0.894458\pi\)
\(234\) 14.3550 8.48558i 0.938417 0.554720i
\(235\) 5.68705 + 9.85025i 0.370982 + 0.642560i
\(236\) 0.607620 + 3.44599i 0.0395527 + 0.224315i
\(237\) 9.58447 13.8387i 0.622579 0.898922i
\(238\) 3.90580 1.42160i 0.253176 0.0921484i
\(239\) −5.07323 + 28.7717i −0.328160 + 1.86109i 0.158306 + 0.987390i \(0.449397\pi\)
−0.486467 + 0.873699i \(0.661714\pi\)
\(240\) −3.16693 + 0.866025i −0.204424 + 0.0559017i
\(241\) 6.13594 5.14866i 0.395251 0.331655i −0.423404 0.905941i \(-0.639165\pi\)
0.818654 + 0.574286i \(0.194720\pi\)
\(242\) 16.1982 1.04126
\(243\) −3.64679 + 15.1559i −0.233941 + 0.972251i
\(244\) −13.8549 −0.886971
\(245\) 1.45208 1.21844i 0.0927701 0.0778433i
\(246\) 1.68361 0.460399i 0.107343 0.0293540i
\(247\) −2.61831 + 14.8492i −0.166599 + 0.944830i
\(248\) 9.72606 3.54000i 0.617606 0.224790i
\(249\) −3.70742 + 5.35303i −0.234948 + 0.339234i
\(250\) −2.10888 11.9601i −0.133377 0.756421i
\(251\) −7.78091 13.4769i −0.491126 0.850656i 0.508821 0.860872i \(-0.330081\pi\)
−0.999948 + 0.0102162i \(0.996748\pi\)
\(252\) 2.58254 1.52660i 0.162685 0.0961666i
\(253\) 7.94913 13.7683i 0.499757 0.865605i
\(254\) −4.91259 1.78804i −0.308243 0.112191i
\(255\) −1.25915 13.5883i −0.0788511 0.850933i
\(256\) 0.766044 + 0.642788i 0.0478778 + 0.0401742i
\(257\) −8.60939 7.22413i −0.537039 0.450629i 0.333485 0.942755i \(-0.391775\pi\)
−0.870524 + 0.492126i \(0.836220\pi\)
\(258\) −12.7694 + 9.03931i −0.794990 + 0.562763i
\(259\) 9.95072 + 3.62177i 0.618308 + 0.225046i
\(260\) −5.26822 + 9.12483i −0.326721 + 0.565898i
\(261\) −4.92948 + 13.9889i −0.305127 + 0.865891i
\(262\) 2.78895 + 4.83059i 0.172302 + 0.298435i
\(263\) −3.12500 17.7228i −0.192696 1.09283i −0.915662 0.401949i \(-0.868333\pi\)
0.722966 0.690883i \(-0.242778\pi\)
\(264\) 3.85948 + 8.16694i 0.237534 + 0.502641i
\(265\) 2.27022 0.826291i 0.139458 0.0507587i
\(266\) −0.471047 + 2.67144i −0.0288817 + 0.163796i
\(267\) 17.2057 + 17.0299i 1.05297 + 1.04221i
\(268\) 6.83683 5.73678i 0.417626 0.350429i
\(269\) 14.3946 0.877656 0.438828 0.898571i \(-0.355394\pi\)
0.438828 + 0.898571i \(0.355394\pi\)
\(270\) −2.69549 9.47360i −0.164042 0.576545i
\(271\) 0.498093 0.0302570 0.0151285 0.999886i \(-0.495184\pi\)
0.0151285 + 0.999886i \(0.495184\pi\)
\(272\) −3.18404 + 2.67173i −0.193061 + 0.161997i
\(273\) 2.44403 9.31221i 0.147919 0.563600i
\(274\) 3.02645 17.1639i 0.182835 1.03691i
\(275\) −6.89457 + 2.50942i −0.415758 + 0.151324i
\(276\) 5.26228 + 0.433178i 0.316752 + 0.0260743i
\(277\) −0.358695 2.03426i −0.0215519 0.122227i 0.972134 0.234427i \(-0.0753214\pi\)
−0.993686 + 0.112200i \(0.964210\pi\)
\(278\) −1.13379 1.96378i −0.0680000 0.117780i
\(279\) 10.9190 + 29.0676i 0.653705 + 1.74023i
\(280\) −0.947779 + 1.64160i −0.0566406 + 0.0981044i
\(281\) 3.98743 + 1.45130i 0.237870 + 0.0865776i 0.458205 0.888847i \(-0.348493\pi\)
−0.220335 + 0.975424i \(0.570715\pi\)
\(282\) 9.44167 + 4.34385i 0.562243 + 0.258673i
\(283\) −15.4012 12.9231i −0.915503 0.768199i 0.0576546 0.998337i \(-0.481638\pi\)
−0.973158 + 0.230138i \(0.926082\pi\)
\(284\) 2.97014 + 2.49224i 0.176245 + 0.147887i
\(285\) 8.09096 + 3.72243i 0.479267 + 0.220497i
\(286\) 27.2403 + 9.91467i 1.61076 + 0.586267i
\(287\) 0.503861 0.872713i 0.0297420 0.0515146i
\(288\) −1.90466 + 2.31781i −0.112233 + 0.136578i
\(289\) −0.138122 0.239235i −0.00812485 0.0140727i
\(290\) −1.62737 9.22928i −0.0955625 0.541962i
\(291\) 1.95821 + 0.161195i 0.114792 + 0.00944944i
\(292\) 9.41009 3.42499i 0.550684 0.200433i
\(293\) −4.25843 + 24.1508i −0.248780 + 1.41090i 0.562766 + 0.826616i \(0.309737\pi\)
−0.811547 + 0.584287i \(0.801374\pi\)
\(294\) 0.439693 1.67531i 0.0256434 0.0977062i
\(295\) 5.08105 4.26350i 0.295830 0.248231i
\(296\) −10.5893 −0.615492
\(297\) −24.3807 + 11.8294i −1.41471 + 0.686411i
\(298\) 0.551799 0.0319648
\(299\) 12.9805 10.8919i 0.750680 0.629895i
\(300\) −1.73187 1.71418i −0.0999895 0.0989681i
\(301\) −1.56851 + 8.89545i −0.0904073 + 0.512725i
\(302\) −14.4242 + 5.24999i −0.830021 + 0.302103i
\(303\) 2.75446 + 5.82863i 0.158239 + 0.334846i
\(304\) −0.471047 2.67144i −0.0270164 0.153218i
\(305\) 13.1314 + 22.7443i 0.751902 + 1.30233i
\(306\) −8.11284 9.46932i −0.463780 0.541325i
\(307\) 3.13404 5.42832i 0.178869 0.309811i −0.762624 0.646842i \(-0.776089\pi\)
0.941494 + 0.337031i \(0.109423\pi\)
\(308\) 4.90067 + 1.78370i 0.279242 + 0.101636i
\(309\) 0.438274 0.310248i 0.0249325 0.0176494i
\(310\) −15.0294 12.6112i −0.853614 0.716267i
\(311\) −2.68637 2.25413i −0.152330 0.127820i 0.563437 0.826159i \(-0.309479\pi\)
−0.715768 + 0.698339i \(0.753923\pi\)
\(312\) 0.888328 + 9.58652i 0.0502917 + 0.542730i
\(313\) −29.6417 10.7887i −1.67545 0.609813i −0.682773 0.730630i \(-0.739226\pi\)
−0.992675 + 0.120817i \(0.961449\pi\)
\(314\) 5.77695 10.0060i 0.326012 0.564670i
\(315\) −4.95374 2.79262i −0.279112 0.157346i
\(316\) 4.85946 + 8.41683i 0.273366 + 0.473484i
\(317\) 5.25323 + 29.7925i 0.295051 + 1.67332i 0.666996 + 0.745061i \(0.267580\pi\)
−0.371945 + 0.928255i \(0.621309\pi\)
\(318\) 1.25688 1.81477i 0.0704825 0.101767i
\(319\) −24.2290 + 8.81863i −1.35656 + 0.493748i
\(320\) 0.329160 1.86676i 0.0184006 0.104355i
\(321\) −19.8552 + 5.42958i −1.10821 + 0.303049i
\(322\) 2.33525 1.95951i 0.130138 0.109199i
\(323\) 11.2751 0.627361
\(324\) −7.01174 5.64230i −0.389541 0.313461i
\(325\) −7.82002 −0.433777
\(326\) −5.61333 + 4.71015i −0.310894 + 0.260871i
\(327\) 22.1975 6.07010i 1.22752 0.335677i
\(328\) −0.174989 + 0.992413i −0.00966216 + 0.0547968i
\(329\) 5.63853 2.05226i 0.310862 0.113145i
\(330\) 9.74893 14.0762i 0.536661 0.774868i
\(331\) −3.79018 21.4952i −0.208327 1.18148i −0.892118 0.451803i \(-0.850781\pi\)
0.683791 0.729678i \(-0.260330\pi\)
\(332\) −1.87971 3.25576i −0.103163 0.178683i
\(333\) −0.326184 31.7663i −0.0178748 1.74078i
\(334\) 0.579413 1.00357i 0.0317041 0.0549130i
\(335\) −15.8973 5.78614i −0.868562 0.316131i
\(336\) 0.159815 + 1.72466i 0.00871860 + 0.0940880i
\(337\) −5.59205 4.69228i −0.304618 0.255605i 0.477645 0.878553i \(-0.341490\pi\)
−0.782263 + 0.622948i \(0.785935\pi\)
\(338\) 13.7098 + 11.5039i 0.745713 + 0.625727i
\(339\) 18.1540 12.8509i 0.985988 0.697967i
\(340\) 7.40368 + 2.69472i 0.401521 + 0.146142i
\(341\) −26.9893 + 46.7468i −1.46155 + 2.53148i
\(342\) 7.99939 1.49535i 0.432557 0.0808595i
\(343\) −0.500000 0.866025i −0.0269975 0.0467610i
\(344\) −1.56851 8.89545i −0.0845682 0.479610i
\(345\) −4.27637 9.04912i −0.230232 0.487188i
\(346\) −16.9085 + 6.15418i −0.909006 + 0.330851i
\(347\) −2.40536 + 13.6415i −0.129126 + 0.732312i 0.849645 + 0.527356i \(0.176816\pi\)
−0.978771 + 0.204957i \(0.934295\pi\)
\(348\) −6.08616 6.02399i −0.326252 0.322919i
\(349\) −1.42764 + 1.19793i −0.0764197 + 0.0641237i −0.680197 0.733029i \(-0.738106\pi\)
0.603778 + 0.797153i \(0.293661\pi\)
\(350\) −1.40686 −0.0751999
\(351\) −28.7307 + 2.96014i −1.53353 + 0.158000i
\(352\) −5.21519 −0.277970
\(353\) 8.01636 6.72652i 0.426668 0.358017i −0.404025 0.914748i \(-0.632389\pi\)
0.830693 + 0.556731i \(0.187945\pi\)
\(354\) 1.53855 5.86216i 0.0817729 0.311570i
\(355\) 1.27623 7.23787i 0.0677354 0.384146i
\(356\) −13.1339 + 4.78034i −0.696095 + 0.253358i
\(357\) −7.17495 0.590625i −0.379739 0.0312592i
\(358\) −0.511826 2.90271i −0.0270509 0.153413i
\(359\) −14.0935 24.4106i −0.743825 1.28834i −0.950742 0.309984i \(-0.899676\pi\)
0.206917 0.978359i \(-0.433657\pi\)
\(360\) 5.61012 + 0.929926i 0.295679 + 0.0490114i
\(361\) 5.82076 10.0819i 0.306356 0.530624i
\(362\) −12.8123 4.66331i −0.673401 0.245098i
\(363\) −25.4880 11.7263i −1.33777 0.615471i
\(364\) 4.25805 + 3.57293i 0.223183 + 0.187272i
\(365\) −14.5412 12.2015i −0.761119 0.638655i
\(366\) 21.8008 + 10.0300i 1.13955 + 0.524274i
\(367\) −3.14417 1.14438i −0.164124 0.0597363i 0.258651 0.965971i \(-0.416722\pi\)
−0.422776 + 0.906234i \(0.638944\pi\)
\(368\) −1.52423 + 2.64004i −0.0794558 + 0.137621i
\(369\) −2.98247 0.494371i −0.155261 0.0257359i
\(370\) 10.0363 + 17.3835i 0.521765 + 0.903723i
\(371\) −0.221317 1.25515i −0.0114902 0.0651642i
\(372\) −17.8667 1.47075i −0.926348 0.0762548i
\(373\) −14.8122 + 5.39119i −0.766945 + 0.279145i −0.695718 0.718315i \(-0.744914\pi\)
−0.0712272 + 0.997460i \(0.522692\pi\)
\(374\) 3.76413 21.3474i 0.194639 1.10385i
\(375\) −5.33988 + 20.3460i −0.275750 + 1.05066i
\(376\) −4.59657 + 3.85698i −0.237050 + 0.198908i
\(377\) −27.4812 −1.41536
\(378\) −5.16879 + 0.532543i −0.265854 + 0.0273911i
\(379\) −8.90527 −0.457433 −0.228716 0.973493i \(-0.573453\pi\)
−0.228716 + 0.973493i \(0.573453\pi\)
\(380\) −3.93899 + 3.30521i −0.202066 + 0.169553i
\(381\) 6.43560 + 6.36985i 0.329706 + 0.326337i
\(382\) −0.880388 + 4.99293i −0.0450445 + 0.255460i
\(383\) 5.35349 1.94851i 0.273551 0.0995643i −0.201602 0.979467i \(-0.564615\pi\)
0.475153 + 0.879903i \(0.342393\pi\)
\(384\) −0.740046 1.56599i −0.0377653 0.0799142i
\(385\) −1.71663 9.73550i −0.0874876 0.496167i
\(386\) −8.55517 14.8180i −0.435447 0.754216i
\(387\) 26.6366 4.97928i 1.35402 0.253111i
\(388\) −0.567199 + 0.982417i −0.0287951 + 0.0498747i
\(389\) −6.78624 2.46999i −0.344076 0.125233i 0.164201 0.986427i \(-0.447495\pi\)
−0.508277 + 0.861193i \(0.669717\pi\)
\(390\) 14.8953 10.5442i 0.754253 0.533925i
\(391\) −9.70640 8.14464i −0.490874 0.411892i
\(392\) 0.766044 + 0.642788i 0.0386911 + 0.0324657i
\(393\) −0.891428 9.61998i −0.0449666 0.485264i
\(394\) −0.520014 0.189270i −0.0261979 0.00953527i
\(395\) 9.21139 15.9546i 0.463475 0.802763i
\(396\) −0.160644 15.6447i −0.00807266 0.786178i
\(397\) 5.50881 + 9.54154i 0.276479 + 0.478876i 0.970507 0.241072i \(-0.0774989\pi\)
−0.694028 + 0.719948i \(0.744166\pi\)
\(398\) −0.722683 4.09854i −0.0362248 0.205441i
\(399\) 2.67513 3.86253i 0.133924 0.193368i
\(400\) 1.32202 0.481175i 0.0661008 0.0240587i
\(401\) 3.62789 20.5748i 0.181168 1.02746i −0.749612 0.661877i \(-0.769760\pi\)
0.930780 0.365579i \(-0.119129\pi\)
\(402\) −14.9108 + 4.07750i −0.743684 + 0.203367i
\(403\) −44.0719 + 36.9808i −2.19538 + 1.84214i
\(404\) −3.72201 −0.185177
\(405\) −2.61682 + 16.8581i −0.130031 + 0.837687i
\(406\) −4.94401 −0.245367
\(407\) 42.3051 35.4982i 2.09698 1.75958i
\(408\) 6.94425 1.89897i 0.343792 0.0940131i
\(409\) 2.99994 17.0135i 0.148337 0.841263i −0.816289 0.577643i \(-0.803972\pi\)
0.964627 0.263620i \(-0.0849164\pi\)
\(410\) 1.79500 0.653326i 0.0886486 0.0322655i
\(411\) −17.1875 + 24.8165i −0.847799 + 1.22411i
\(412\) 0.0538345 + 0.305310i 0.00265223 + 0.0150416i
\(413\) −1.74957 3.03035i −0.0860909 0.149114i
\(414\) −7.96665 4.49112i −0.391539 0.220726i
\(415\) −3.56310 + 6.17148i −0.174906 + 0.302946i
\(416\) −5.22327 1.90112i −0.256092 0.0932099i
\(417\) 0.362391 + 3.91080i 0.0177464 + 0.191513i
\(418\) 10.8372 + 9.09351i 0.530066 + 0.444778i
\(419\) 8.67727 + 7.28110i 0.423913 + 0.355705i 0.829649 0.558285i \(-0.188541\pi\)
−0.405737 + 0.913990i \(0.632985\pi\)
\(420\) 2.67974 1.89695i 0.130758 0.0925617i
\(421\) 11.0051 + 4.00554i 0.536358 + 0.195218i 0.595975 0.803003i \(-0.296766\pi\)
−0.0596172 + 0.998221i \(0.518988\pi\)
\(422\) 0.377834 0.654428i 0.0183927 0.0318571i
\(423\) −11.7119 13.6702i −0.569453 0.664666i
\(424\) 0.637257 + 1.10376i 0.0309479 + 0.0536034i
\(425\) 1.01542 + 5.75874i 0.0492552 + 0.279340i
\(426\) −2.86933 6.07172i −0.139020 0.294176i
\(427\) 13.0194 4.73866i 0.630051 0.229320i
\(428\) 2.06368 11.7037i 0.0997518 0.565721i
\(429\) −35.6854 35.3209i −1.72291 1.70531i
\(430\) −13.1162 + 11.0058i −0.632518 + 0.530746i
\(431\) −30.2845 −1.45875 −0.729376 0.684113i \(-0.760190\pi\)
−0.729376 + 0.684113i \(0.760190\pi\)
\(432\) 4.67493 2.26826i 0.224923 0.109132i
\(433\) −2.45937 −0.118190 −0.0590949 0.998252i \(-0.518821\pi\)
−0.0590949 + 0.998252i \(0.518821\pi\)
\(434\) −7.92876 + 6.65302i −0.380593 + 0.319355i
\(435\) −4.12065 + 15.7004i −0.197570 + 0.752779i
\(436\) −2.30713 + 13.0844i −0.110492 + 0.626629i
\(437\) 7.77068 2.82830i 0.371722 0.135296i
\(438\) −17.2863 1.42297i −0.825972 0.0679921i
\(439\) 0.684779 + 3.88358i 0.0326827 + 0.185353i 0.996779 0.0802011i \(-0.0255562\pi\)
−0.964096 + 0.265554i \(0.914445\pi\)
\(440\) 4.94284 + 8.56126i 0.235641 + 0.408142i
\(441\) −1.90466 + 2.31781i −0.0906983 + 0.110372i
\(442\) 11.5519 20.0084i 0.549466 0.951702i
\(443\) 28.8433 + 10.4981i 1.37039 + 0.498781i 0.919250 0.393673i \(-0.128796\pi\)
0.451138 + 0.892454i \(0.351018\pi\)
\(444\) 16.6624 + 7.66591i 0.790763 + 0.363808i
\(445\) 20.2954 + 17.0299i 0.962096 + 0.807294i
\(446\) −13.1766 11.0565i −0.623930 0.523539i
\(447\) −0.868260 0.399462i −0.0410673 0.0188939i
\(448\) −0.939693 0.342020i −0.0443963 0.0161589i
\(449\) 0.113719 0.196967i 0.00536673 0.00929545i −0.863330 0.504641i \(-0.831625\pi\)
0.868696 + 0.495345i \(0.164958\pi\)
\(450\) 1.48417 + 3.95102i 0.0699645 + 0.186253i
\(451\) −2.62773 4.55136i −0.123735 0.214315i
\(452\) 2.22991 + 12.6464i 0.104886 + 0.594838i
\(453\) 26.4972 + 2.18119i 1.24495 + 0.102481i
\(454\) 4.72912 1.72126i 0.221949 0.0807828i
\(455\) 1.82963 10.3764i 0.0857745 0.486452i
\(456\) −1.19273 + 4.54454i −0.0558548 + 0.212817i
\(457\) 5.57486 4.67786i 0.260781 0.218821i −0.503017 0.864276i \(-0.667777\pi\)
0.763798 + 0.645455i \(0.223332\pi\)
\(458\) 27.0489 1.26391
\(459\) 5.91052 + 20.7732i 0.275879 + 0.969608i
\(460\) 5.77852 0.269425
\(461\) −8.11642 + 6.81049i −0.378019 + 0.317196i −0.811924 0.583763i \(-0.801580\pi\)
0.433905 + 0.900959i \(0.357135\pi\)
\(462\) −6.41998 6.35440i −0.298685 0.295633i
\(463\) 2.36174 13.3941i 0.109759 0.622475i −0.879453 0.475986i \(-0.842091\pi\)
0.989212 0.146490i \(-0.0467975\pi\)
\(464\) 4.64585 1.69095i 0.215678 0.0785004i
\(465\) 14.5193 + 30.7240i 0.673318 + 1.42479i
\(466\) 4.00076 + 22.6894i 0.185332 + 1.05107i
\(467\) −13.4701 23.3310i −0.623323 1.07963i −0.988863 0.148832i \(-0.952449\pi\)
0.365539 0.930796i \(-0.380885\pi\)
\(468\) 5.54215 15.7276i 0.256186 0.727006i
\(469\) −4.46242 + 7.72914i −0.206055 + 0.356899i
\(470\) 10.6882 + 3.89017i 0.493008 + 0.179440i
\(471\) −16.3337 + 11.5624i −0.752617 + 0.532767i
\(472\) 2.68050 + 2.24921i 0.123380 + 0.103528i
\(473\) 36.0861 + 30.2798i 1.65924 + 1.39227i
\(474\) −1.55323 16.7619i −0.0713420 0.769898i
\(475\) −3.58617 1.30526i −0.164545 0.0598894i
\(476\) 2.07824 3.59961i 0.0952558 0.164988i
\(477\) −3.29148 + 1.94567i −0.150706 + 0.0890860i
\(478\) 14.6078 + 25.3014i 0.668145 + 1.15726i
\(479\) 5.36246 + 30.4120i 0.245017 + 1.38956i 0.820453 + 0.571714i \(0.193721\pi\)
−0.575436 + 0.817847i \(0.695167\pi\)
\(480\) −1.86934 + 2.69907i −0.0853231 + 0.123195i
\(481\) 55.3110 20.1315i 2.52196 0.917920i
\(482\) 1.39090 7.88821i 0.0633540 0.359298i
\(483\) −5.09308 + 1.39275i −0.231743 + 0.0633723i
\(484\) 12.4085 10.4120i 0.564024 0.473272i
\(485\) 2.15032 0.0976408
\(486\) 6.94842 + 13.9542i 0.315187 + 0.632975i
\(487\) −2.33261 −0.105701 −0.0528504 0.998602i \(-0.516831\pi\)
−0.0528504 + 0.998602i \(0.516831\pi\)
\(488\) −10.6135 + 8.90577i −0.480450 + 0.403145i
\(489\) 12.2424 3.34781i 0.553622 0.151393i
\(490\) 0.329160 1.86676i 0.0148699 0.0843316i
\(491\) −22.3025 + 8.11744i −1.00650 + 0.366335i −0.792087 0.610409i \(-0.791005\pi\)
−0.214410 + 0.976744i \(0.568783\pi\)
\(492\) 0.993782 1.43489i 0.0448032 0.0646899i
\(493\) 3.56841 + 20.2374i 0.160713 + 0.911448i
\(494\) 7.53912 + 13.0581i 0.339201 + 0.587514i
\(495\) −25.5302 + 15.0915i −1.14750 + 0.678311i
\(496\) 5.17513 8.96359i 0.232370 0.402477i
\(497\) −3.64341 1.32609i −0.163429 0.0594834i
\(498\) 0.600811 + 6.48374i 0.0269230 + 0.290543i
\(499\) 4.50898 + 3.78348i 0.201850 + 0.169372i 0.738109 0.674681i \(-0.235719\pi\)
−0.536260 + 0.844053i \(0.680163\pi\)
\(500\) −9.30328 7.80638i −0.416056 0.349112i
\(501\) −1.63822 + 1.15968i −0.0731905 + 0.0518105i
\(502\) −14.6233 5.32245i −0.652671 0.237553i
\(503\) 20.4763 35.4659i 0.912991 1.58135i 0.103176 0.994663i \(-0.467100\pi\)
0.809816 0.586684i \(-0.199567\pi\)
\(504\) 0.997061 2.82946i 0.0444126 0.126034i
\(505\) 3.52764 + 6.11005i 0.156978 + 0.271894i
\(506\) −2.76070 15.6567i −0.122728 0.696026i
\(507\) −13.2445 28.0263i −0.588207 1.24469i
\(508\) −4.91259 + 1.78804i −0.217961 + 0.0793313i
\(509\) 1.15295 6.53872i 0.0511037 0.289823i −0.948536 0.316670i \(-0.897435\pi\)
0.999640 + 0.0268462i \(0.00854644\pi\)
\(510\) −9.69897 9.59989i −0.429478 0.425090i
\(511\) −7.67118 + 6.43688i −0.339353 + 0.284751i
\(512\) 1.00000 0.0441942
\(513\) −13.6696 3.43802i −0.603529 0.151792i
\(514\) −11.2388 −0.495720
\(515\) 0.450175 0.377742i 0.0198371 0.0166453i
\(516\) −3.97160 + 15.1325i −0.174840 + 0.666173i
\(517\) 5.43400 30.8178i 0.238987 1.35536i
\(518\) 9.95072 3.62177i 0.437209 0.159131i
\(519\) 31.0608 + 2.55686i 1.36342 + 0.112234i
\(520\) 1.82963 + 10.3764i 0.0802347 + 0.455034i
\(521\) 8.26758 + 14.3199i 0.362209 + 0.627365i 0.988324 0.152366i \(-0.0486892\pi\)
−0.626115 + 0.779731i \(0.715356\pi\)
\(522\) 5.21569 + 13.8847i 0.228285 + 0.607718i
\(523\) 10.7884 18.6861i 0.471744 0.817084i −0.527734 0.849410i \(-0.676958\pi\)
0.999477 + 0.0323257i \(0.0102914\pi\)
\(524\) 5.24150 + 1.90775i 0.228976 + 0.0833405i
\(525\) 2.21371 + 1.01847i 0.0966141 + 0.0444495i
\(526\) −13.7859 11.5677i −0.601092 0.504376i
\(527\) 32.9557 + 27.6531i 1.43557 + 1.20459i
\(528\) 8.20614 + 3.77542i 0.357126 + 0.164304i
\(529\) 12.8803 + 4.68805i 0.560013 + 0.203828i
\(530\) 1.20796 2.09224i 0.0524703 0.0908812i
\(531\) −6.66470 + 8.11036i −0.289223 + 0.351960i
\(532\) 1.35633 + 2.34922i 0.0588042 + 0.101852i
\(533\) −0.972676 5.51632i −0.0421313 0.238938i
\(534\) 24.1269 + 1.98607i 1.04407 + 0.0859457i
\(535\) −21.1688 + 7.70479i −0.915205 + 0.333107i
\(536\) 1.54978 8.78925i 0.0669404 0.379638i
\(537\) −1.29599 + 4.93797i −0.0559261 + 0.213089i
\(538\) 11.0269 9.25269i 0.475405 0.398912i
\(539\) −5.21519 −0.224634
\(540\) −8.15438 5.52457i −0.350909 0.237740i
\(541\) −16.5181 −0.710168 −0.355084 0.934834i \(-0.615548\pi\)
−0.355084 + 0.934834i \(0.615548\pi\)
\(542\) 0.381561 0.320168i 0.0163895 0.0137524i
\(543\) 16.7844 + 16.6130i 0.720288 + 0.712930i
\(544\) −0.721763 + 4.09332i −0.0309454 + 0.175500i
\(545\) 23.6660 8.61372i 1.01374 0.368971i
\(546\) −4.11354 8.70455i −0.176043 0.372521i
\(547\) 3.76845 + 21.3720i 0.161127 + 0.913799i 0.952968 + 0.303071i \(0.0980120\pi\)
−0.791841 + 0.610728i \(0.790877\pi\)
\(548\) −8.71432 15.0936i −0.372257 0.644769i
\(549\) −27.0428 31.5645i −1.15416 1.34714i
\(550\) −3.66852 + 6.35407i −0.156426 + 0.270938i
\(551\) −12.6026 4.58696i −0.536888 0.195411i
\(552\) 4.30958 3.05069i 0.183428 0.129846i
\(553\) −7.44513 6.24720i −0.316599 0.265658i
\(554\) −1.58237 1.32777i −0.0672287 0.0564115i
\(555\) −3.20791 34.6186i −0.136168 1.46948i
\(556\) −2.13082 0.775556i −0.0903670 0.0328909i
\(557\) 10.5893 18.3412i 0.448683 0.777142i −0.549617 0.835417i \(-0.685226\pi\)
0.998301 + 0.0582743i \(0.0185598\pi\)
\(558\) 27.0488 + 15.2485i 1.14507 + 0.645519i
\(559\) 25.1040 + 43.4814i 1.06179 + 1.83907i
\(560\) 0.329160 + 1.86676i 0.0139096 + 0.0788850i
\(561\) −21.3769 + 30.8654i −0.902533 + 1.30314i
\(562\) 3.98743 1.45130i 0.168199 0.0612196i
\(563\) −3.43969 + 19.5075i −0.144966 + 0.822141i 0.822429 + 0.568868i \(0.192618\pi\)
−0.967395 + 0.253273i \(0.918493\pi\)
\(564\) 10.0249 2.74141i 0.422125 0.115434i
\(565\) 18.6469 15.6466i 0.784482 0.658258i
\(566\) −20.1048 −0.845067
\(567\) 8.51866 + 2.90387i 0.357750 + 0.121951i
\(568\) 3.87724 0.162685
\(569\) 15.3941 12.9172i 0.645355 0.541517i −0.260302 0.965527i \(-0.583822\pi\)
0.905658 + 0.424010i \(0.139378\pi\)
\(570\) 8.59076 2.34922i 0.359828 0.0983982i
\(571\) −5.81283 + 32.9662i −0.243260 + 1.37959i 0.581241 + 0.813732i \(0.302567\pi\)
−0.824500 + 0.565862i \(0.808544\pi\)
\(572\) 27.2403 9.91467i 1.13898 0.414553i
\(573\) 4.99981 7.21907i 0.208870 0.301581i
\(574\) −0.174989 0.992413i −0.00730391 0.0414225i
\(575\) 2.14437 + 3.71417i 0.0894266 + 0.154891i
\(576\) 0.0308031 + 2.99984i 0.00128346 + 0.124993i
\(577\) 11.5217 19.9561i 0.479654 0.830784i −0.520074 0.854121i \(-0.674096\pi\)
0.999728 + 0.0233368i \(0.00742900\pi\)
\(578\) −0.259585 0.0944813i −0.0107973 0.00392991i
\(579\) 2.73448 + 29.5096i 0.113641 + 1.22638i
\(580\) −7.17911 6.02399i −0.298096 0.250132i
\(581\) 2.87989 + 2.41651i 0.119478 + 0.100254i
\(582\) 1.60369 1.13523i 0.0664751 0.0470568i
\(583\) −6.24597 2.27335i −0.258682 0.0941525i
\(584\) 5.00701 8.67239i 0.207191 0.358866i
\(585\) −31.0711 + 5.80824i −1.28463 + 0.240141i
\(586\) 12.2617 + 21.2378i 0.506525 + 0.877327i
\(587\) 2.43414 + 13.8047i 0.100468 + 0.569780i 0.992934 + 0.118666i \(0.0378619\pi\)
−0.892467 + 0.451113i \(0.851027\pi\)
\(588\) −0.740046 1.56599i −0.0305190 0.0645804i
\(589\) −26.3834 + 9.60278i −1.08711 + 0.395676i
\(590\) 1.15178 6.53207i 0.0474180 0.268921i
\(591\) 0.681229 + 0.674270i 0.0280220 + 0.0277358i
\(592\) −8.11190 + 6.80669i −0.333397 + 0.279753i
\(593\) 13.5978 0.558396 0.279198 0.960234i \(-0.409931\pi\)
0.279198 + 0.960234i \(0.409931\pi\)
\(594\) −11.0729 + 24.7334i −0.454326 + 1.01482i
\(595\) −7.87883 −0.323001
\(596\) 0.422702 0.354689i 0.0173146 0.0145286i
\(597\) −1.82990 + 6.97225i −0.0748927 + 0.285355i
\(598\) 2.94243 16.6874i 0.120325 0.682397i
\(599\) 17.7013 6.44274i 0.723255 0.263243i 0.0459478 0.998944i \(-0.485369\pi\)
0.677307 + 0.735701i \(0.263147\pi\)
\(600\) −2.42854 0.199912i −0.0991448 0.00816137i
\(601\) 4.95593 + 28.1065i 0.202157 + 1.14649i 0.901852 + 0.432046i \(0.142208\pi\)
−0.699695 + 0.714442i \(0.746681\pi\)
\(602\) 4.51634 + 7.82252i 0.184072 + 0.318822i
\(603\) 26.4141 + 4.37837i 1.07567 + 0.178301i
\(604\) −7.67497 + 13.2934i −0.312290 + 0.540902i
\(605\) −28.8529 10.5016i −1.17304 0.426950i
\(606\) 5.85661 + 2.69446i 0.237908 + 0.109455i
\(607\) −22.2377 18.6597i −0.902602 0.757373i 0.0680956 0.997679i \(-0.478308\pi\)
−0.970697 + 0.240306i \(0.922752\pi\)
\(608\) −2.07801 1.74366i −0.0842745 0.0707147i
\(609\) 7.77944 + 3.57911i 0.315239 + 0.145033i
\(610\) 24.6790 + 8.98241i 0.999222 + 0.363687i
\(611\) 16.6766 28.8847i 0.674662 1.16855i
\(612\) −12.3016 2.03909i −0.497261 0.0824253i
\(613\) 5.63203 + 9.75496i 0.227475 + 0.393999i 0.957059 0.289892i \(-0.0936195\pi\)
−0.729584 + 0.683891i \(0.760286\pi\)
\(614\) −1.08844 6.17286i −0.0439259 0.249116i
\(615\) −3.29740 0.271435i −0.132964 0.0109453i
\(616\) 4.90067 1.78370i 0.197454 0.0718673i
\(617\) 8.29844 47.0628i 0.334083 1.89468i −0.102024 0.994782i \(-0.532532\pi\)
0.436107 0.899895i \(-0.356357\pi\)
\(618\) 0.136314 0.519381i 0.00548334 0.0208926i
\(619\) 24.3805 20.4577i 0.979937 0.822265i −0.00414314 0.999991i \(-0.501319\pi\)
0.984080 + 0.177727i \(0.0568744\pi\)
\(620\) −19.6195 −0.787939
\(621\) 9.28434 + 12.8341i 0.372568 + 0.515014i
\(622\) −3.50681 −0.140610
\(623\) 10.7068 8.98411i 0.428961 0.359941i
\(624\) 6.84259 + 6.77269i 0.273923 + 0.271125i
\(625\) −2.77602 + 15.7436i −0.111041 + 0.629743i
\(626\) −29.6417 + 10.7887i −1.18472 + 0.431203i
\(627\) −10.4694 22.1541i −0.418108 0.884748i
\(628\) −2.00632 11.3784i −0.0800607 0.454047i
\(629\) −22.0071 38.1175i −0.877481 1.51984i
\(630\) −5.58985 + 1.04493i −0.222705 + 0.0416310i
\(631\) 18.3742 31.8251i 0.731467 1.26694i −0.224789 0.974407i \(-0.572169\pi\)
0.956256 0.292531i \(-0.0944974\pi\)
\(632\) 9.13280 + 3.32407i 0.363283 + 0.132224i
\(633\) −1.06828 + 0.756224i −0.0424605 + 0.0300572i
\(634\) 23.1745 + 19.4457i 0.920376 + 0.772287i
\(635\) 7.59129 + 6.36985i 0.301251 + 0.252780i
\(636\) −0.203686 2.19810i −0.00807667 0.0871605i
\(637\) −5.22327 1.90112i −0.206954 0.0753250i
\(638\) −12.8920 + 22.3295i −0.510398 + 0.884035i
\(639\) 0.119431 + 11.6311i 0.00472461 + 0.460119i
\(640\) −0.947779 1.64160i −0.0374642 0.0648900i
\(641\) −1.24036 7.03441i −0.0489911 0.277842i 0.950465 0.310833i \(-0.100608\pi\)
−0.999456 + 0.0329905i \(0.989497\pi\)
\(642\) −11.7199 + 16.9219i −0.462546 + 0.667856i
\(643\) 13.6591 4.97149i 0.538660 0.196056i −0.0583407 0.998297i \(-0.518581\pi\)
0.597001 + 0.802240i \(0.296359\pi\)
\(644\) 0.529358 3.00214i 0.0208596 0.118301i
\(645\) 28.6058 7.82252i 1.12635 0.308012i
\(646\) 8.63719 7.24747i 0.339826 0.285148i
\(647\) −41.2483 −1.62164 −0.810819 0.585297i \(-0.800978\pi\)
−0.810819 + 0.585297i \(0.800978\pi\)
\(648\) −8.99810 + 0.184809i −0.353479 + 0.00725997i
\(649\) −18.2487 −0.716324
\(650\) −5.99049 + 5.02661i −0.234966 + 0.197160i
\(651\) 17.2923 4.72873i 0.677738 0.185334i
\(652\) −1.27244 + 7.21636i −0.0498326 + 0.282615i
\(653\) 4.36264 1.58787i 0.170723 0.0621382i −0.255244 0.966877i \(-0.582156\pi\)
0.425968 + 0.904738i \(0.359934\pi\)
\(654\) 13.1024 18.9182i 0.512346 0.739761i
\(655\) −1.83602 10.4126i −0.0717392 0.406853i
\(656\) 0.503861 + 0.872713i 0.0196725 + 0.0340737i
\(657\) 26.1700 + 14.7531i 1.02099 + 0.575573i
\(658\) 3.00020 5.19649i 0.116960 0.202580i
\(659\) −8.54953 3.11177i −0.333042 0.121218i 0.170086 0.985429i \(-0.445595\pi\)
−0.503128 + 0.864212i \(0.667818\pi\)
\(660\) −1.57988 17.0495i −0.0614966 0.663650i
\(661\) 11.3995 + 9.56531i 0.443389 + 0.372047i 0.836976 0.547240i \(-0.184322\pi\)
−0.393587 + 0.919287i \(0.628766\pi\)
\(662\) −16.7203 14.0300i −0.649852 0.545290i
\(663\) −32.6616 + 23.1207i −1.26847 + 0.897933i
\(664\) −3.53270 1.28580i −0.137096 0.0498987i
\(665\) 2.57099 4.45309i 0.0996988 0.172683i
\(666\) −20.6689 24.1247i −0.800902 0.934815i
\(667\) 7.53579 + 13.0524i 0.291787 + 0.505390i
\(668\) −0.201228 1.14122i −0.00778574 0.0441551i
\(669\) 12.7294 + 26.9363i 0.492147 + 1.04142i
\(670\) −15.8973 + 5.78614i −0.614166 + 0.223538i
\(671\) 12.5471 71.1583i 0.484376 2.74703i
\(672\) 1.23102 + 1.21844i 0.0474875 + 0.0470024i
\(673\) −22.6443 + 19.0008i −0.872872 + 0.732427i −0.964701 0.263348i \(-0.915173\pi\)
0.0918288 + 0.995775i \(0.470729\pi\)
\(674\) −7.29990 −0.281182
\(675\) 0.524898 7.29140i 0.0202033 0.280646i
\(676\) 17.8968 0.688339
\(677\) −30.6658 + 25.7316i −1.17858 + 0.988947i −0.178594 + 0.983923i \(0.557155\pi\)
−0.999987 + 0.00502400i \(0.998401\pi\)
\(678\) 5.64632 21.5135i 0.216846 0.826222i
\(679\) 0.196986 1.11716i 0.00755963 0.0428728i
\(680\) 7.40368 2.69472i 0.283918 0.103338i
\(681\) −8.68739 0.715126i −0.332901 0.0274037i
\(682\) 9.37328 + 53.1585i 0.358921 + 2.03554i
\(683\) 14.1375 + 24.4869i 0.540958 + 0.936966i 0.998849 + 0.0479581i \(0.0152714\pi\)
−0.457892 + 0.889008i \(0.651395\pi\)
\(684\) 5.16669 6.28742i 0.197553 0.240405i
\(685\) −16.5185 + 28.6109i −0.631139 + 1.09317i
\(686\) −0.939693 0.342020i −0.0358776 0.0130584i
\(687\) −42.5617 19.5814i −1.62383 0.747078i
\(688\) −6.91943 5.80609i −0.263801 0.221355i
\(689\) −5.42694 4.55375i −0.206750 0.173484i
\(690\) −9.09255 4.18323i −0.346147 0.159253i
\(691\) 19.6082 + 7.13681i 0.745932 + 0.271497i 0.686893 0.726759i \(-0.258974\pi\)
0.0590392 + 0.998256i \(0.481196\pi\)
\(692\) −8.99682 + 15.5829i −0.342008 + 0.592375i
\(693\) 5.50177 + 14.6463i 0.208995 + 0.556367i
\(694\) 6.92596 + 11.9961i 0.262906 + 0.455366i
\(695\) 0.746395 + 4.23302i 0.0283124 + 0.160567i
\(696\) −8.53441 0.702533i −0.323496 0.0266294i
\(697\) −3.93597 + 1.43258i −0.149085 + 0.0542626i
\(698\) −0.323619 + 1.83533i −0.0122492 + 0.0694684i
\(699\) 10.1303 38.5983i 0.383162 1.45992i
\(700\) −1.07772 + 0.904313i −0.0407339 + 0.0341798i
\(701\) 19.6530 0.742285 0.371143 0.928576i \(-0.378966\pi\)
0.371143 + 0.928576i \(0.378966\pi\)
\(702\) −20.1062 + 20.7353i −0.758861 + 0.782604i
\(703\) 28.7252 1.08339
\(704\) −3.99506 + 3.35226i −0.150570 + 0.126343i
\(705\) −14.0017 13.8587i −0.527334 0.521947i
\(706\) 1.81716 10.3056i 0.0683897 0.387857i
\(707\) 3.49754 1.27300i 0.131539 0.0478761i
\(708\) −2.58953 5.47964i −0.0973204 0.205937i
\(709\) 3.79902 + 21.5453i 0.142675 + 0.809151i 0.969204 + 0.246257i \(0.0792008\pi\)
−0.826529 + 0.562894i \(0.809688\pi\)
\(710\) −3.67476 6.36488i −0.137911 0.238870i
\(711\) −9.69036 + 27.4993i −0.363417 + 1.03131i
\(712\) −6.98840 + 12.1043i −0.261901 + 0.453626i
\(713\) 29.6494 + 10.7915i 1.11038 + 0.404145i
\(714\) −5.87598 + 4.15952i −0.219903 + 0.155666i
\(715\) −42.0938 35.3209i −1.57422 1.32093i
\(716\) −2.25791 1.89461i −0.0843820 0.0708049i
\(717\) −4.66908 50.3870i −0.174370 1.88174i
\(718\) −26.4871 9.64050i −0.988488 0.359780i
\(719\) −8.48735 + 14.7005i −0.316525 + 0.548237i −0.979760 0.200174i \(-0.935849\pi\)
0.663236 + 0.748411i \(0.269183\pi\)
\(720\) 4.89535 2.89375i 0.182439 0.107844i
\(721\) −0.155010 0.268486i −0.00577288 0.00999892i
\(722\) −2.02153 11.4647i −0.0752335 0.426671i
\(723\) −7.89909 + 11.4053i −0.293770 + 0.424166i
\(724\) −12.8123 + 4.66331i −0.476167 + 0.173310i
\(725\) 1.20782 6.84987i 0.0448572 0.254398i
\(726\) −27.0624 + 7.40048i −1.00438 + 0.274657i
\(727\) −0.247457 + 0.207641i −0.00917769 + 0.00770100i −0.647365 0.762180i \(-0.724129\pi\)
0.638187 + 0.769881i \(0.279685\pi\)
\(728\) 5.55849 0.206011
\(729\) −0.831566 26.9872i −0.0307988 0.999526i
\(730\) −18.9821 −0.702560
\(731\) 28.7604 24.1328i 1.06374 0.892585i
\(732\) 23.1475 6.32991i 0.855558 0.233960i
\(733\) −1.89800 + 10.7641i −0.0701043 + 0.397581i 0.929483 + 0.368864i \(0.120253\pi\)
−0.999588 + 0.0287171i \(0.990858\pi\)
\(734\) −3.14417 + 1.14438i −0.116053 + 0.0422400i
\(735\) −1.86934 + 2.69907i −0.0689515 + 0.0995569i
\(736\) 0.529358 + 3.00214i 0.0195124 + 0.110660i
\(737\) 23.2724 + 40.3089i 0.857248 + 1.48480i
\(738\) −2.60248 + 1.53839i −0.0957987 + 0.0566288i
\(739\) 11.1476 19.3083i 0.410073 0.710267i −0.584825 0.811160i \(-0.698837\pi\)
0.994897 + 0.100893i \(0.0321700\pi\)
\(740\) 18.8622 + 6.86526i 0.693387 + 0.252372i
\(741\) −2.40972 26.0049i −0.0885234 0.955313i
\(742\) −0.976334 0.819241i −0.0358423 0.0300753i
\(743\) −18.6297 15.6321i −0.683456 0.573487i 0.233558 0.972343i \(-0.424963\pi\)
−0.917014 + 0.398855i \(0.869408\pi\)
\(744\) −14.6321 + 10.3579i −0.536439 + 0.379738i
\(745\) −0.982887 0.357742i −0.0360102 0.0131066i
\(746\) −7.88139 + 13.6510i −0.288558 + 0.499798i
\(747\) 3.74838 10.6372i 0.137146 0.389193i
\(748\) −10.8384 18.7726i −0.396291 0.686395i
\(749\) 2.06368 + 11.7037i 0.0754053 + 0.427645i
\(750\) 8.98754 + 19.0183i 0.328179 + 0.694451i
\(751\) 26.1975 9.53510i 0.955960 0.347941i 0.183511 0.983018i \(-0.441254\pi\)
0.772449 + 0.635077i \(0.219032\pi\)
\(752\) −1.04196 + 5.90923i −0.0379963 + 0.215488i
\(753\) 19.1568 + 18.9612i 0.698114 + 0.690983i
\(754\) −21.0518 + 17.6646i −0.766663 + 0.643307i
\(755\) 29.0967 1.05894
\(756\) −3.61721 + 3.73039i −0.131557 + 0.135673i
\(757\) 53.7890 1.95499 0.977497 0.210949i \(-0.0676555\pi\)
0.977497 + 0.210949i \(0.0676555\pi\)
\(758\) −6.82183 + 5.72420i −0.247780 + 0.207912i
\(759\) −6.99034 + 26.6345i −0.253733 + 0.966772i
\(760\) −0.892897 + 5.06387i −0.0323888 + 0.183686i
\(761\) 37.6927 13.7190i 1.36636 0.497314i 0.448344 0.893861i \(-0.352014\pi\)
0.918014 + 0.396547i \(0.129792\pi\)
\(762\) 9.02441 + 0.742869i 0.326920 + 0.0269113i
\(763\) −2.30713 13.0844i −0.0835238 0.473687i
\(764\) 2.53497 + 4.39071i 0.0917122 + 0.158850i
\(765\) 8.31178 + 22.1269i 0.300513 + 0.799998i
\(766\) 2.84853 4.93380i 0.102922 0.178266i
\(767\) −18.2770 6.65228i −0.659944 0.240200i
\(768\) −1.57351 0.723928i −0.0567791 0.0261225i
\(769\) 20.0635 + 16.8353i 0.723509 + 0.607096i 0.928354 0.371698i