Properties

Label 41.2.g.a.20.1
Level 41
Weight 2
Character 41.20
Analytic conductor 0.327
Analytic rank 0
Dimension 24
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 41 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 41.g (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.327386648287\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(3\) over \(\Q(\zeta_{20})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 20.1
Character \(\chi\) = 41.20
Dual form 41.2.g.a.39.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.29671 - 0.746246i) q^{2} +(-1.67347 + 1.67347i) q^{3} +(3.09996 + 2.25225i) q^{4} +(-1.68856 + 2.32411i) q^{5} +(5.09230 - 2.59466i) q^{6} +(-1.86997 - 0.952797i) q^{7} +(-2.60008 - 3.57870i) q^{8} -2.60102i q^{9} +O(q^{10})\) \(q+(-2.29671 - 0.746246i) q^{2} +(-1.67347 + 1.67347i) q^{3} +(3.09996 + 2.25225i) q^{4} +(-1.68856 + 2.32411i) q^{5} +(5.09230 - 2.59466i) q^{6} +(-1.86997 - 0.952797i) q^{7} +(-2.60008 - 3.57870i) q^{8} -2.60102i q^{9} +(5.61249 - 4.07771i) q^{10} +(0.0609104 - 0.384573i) q^{11} +(-8.95677 + 1.41861i) q^{12} +(1.56991 + 3.08112i) q^{13} +(3.58375 + 3.58375i) q^{14} +(-1.06357 - 6.71509i) q^{15} +(0.932875 + 2.87109i) q^{16} +(5.05100 + 0.800000i) q^{17} +(-1.94100 + 5.97379i) q^{18} +(-2.92520 + 5.74102i) q^{19} +(-10.4689 + 3.40156i) q^{20} +(4.72382 - 1.53486i) q^{21} +(-0.426880 + 0.837799i) q^{22} +(0.410662 - 1.26389i) q^{23} +(10.3400 + 1.63770i) q^{24} +(-1.00514 - 3.09351i) q^{25} +(-1.30635 - 8.24798i) q^{26} +(-0.667682 - 0.667682i) q^{27} +(-3.65089 - 7.16527i) q^{28} +(0.589758 - 0.0934085i) q^{29} +(-2.56841 + 16.2163i) q^{30} +(-0.996546 + 0.724033i) q^{31} +1.55681i q^{32} +(0.541641 + 0.745505i) q^{33} +(-11.0037 - 5.60665i) q^{34} +(5.37196 - 2.73715i) q^{35} +(5.85815 - 8.06305i) q^{36} +(-2.07936 - 1.51074i) q^{37} +(11.0025 - 11.0025i) q^{38} +(-7.78337 - 2.52897i) q^{39} +12.7077 q^{40} +(1.91012 + 6.11158i) q^{41} -11.9946 q^{42} +(9.42697 + 3.06301i) q^{43} +(1.05497 - 1.05497i) q^{44} +(6.04504 + 4.39198i) q^{45} +(-1.88634 + 2.59633i) q^{46} +(-1.97205 + 1.00481i) q^{47} +(-6.36584 - 3.24356i) q^{48} +(-1.52553 - 2.09972i) q^{49} +7.85497i q^{50} +(-9.79148 + 7.11393i) q^{51} +(-2.07280 + 13.0872i) q^{52} +(-5.34140 + 0.845995i) q^{53} +(1.03522 + 2.03173i) q^{54} +(0.790938 + 0.790938i) q^{55} +(1.45229 + 9.16940i) q^{56} +(-4.71221 - 14.5027i) q^{57} +(-1.42421 - 0.225572i) q^{58} +(2.04191 - 6.28435i) q^{59} +(11.8271 - 23.2119i) q^{60} +(6.08019 - 1.97557i) q^{61} +(2.82908 - 0.919225i) q^{62} +(-2.47824 + 4.86383i) q^{63} +(3.02751 - 9.31772i) q^{64} +(-9.81174 - 1.55403i) q^{65} +(-0.687662 - 2.11640i) q^{66} +(0.874252 + 5.51981i) q^{67} +(13.8561 + 13.8561i) q^{68} +(1.42785 + 2.80231i) q^{69} +(-14.3804 + 2.27763i) q^{70} +(-1.09545 + 6.91639i) q^{71} +(-9.30827 + 6.76285i) q^{72} -14.4984i q^{73} +(3.64830 + 5.02146i) q^{74} +(6.85898 + 3.49482i) q^{75} +(-21.9982 + 11.2086i) q^{76} +(-0.480321 + 0.661105i) q^{77} +(15.9889 + 11.6166i) q^{78} +(4.23136 - 4.23136i) q^{79} +(-8.24794 - 2.67992i) q^{80} +10.0378 q^{81} +(0.173757 - 15.4619i) q^{82} +15.4232 q^{83} +(18.1005 + 5.88122i) q^{84} +(-10.3882 + 10.3882i) q^{85} +(-19.3653 - 14.0697i) q^{86} +(-0.830627 + 1.14326i) q^{87} +(-1.53464 + 0.781940i) q^{88} +(0.298137 + 0.151908i) q^{89} +(-10.6062 - 14.5982i) q^{90} -7.25741i q^{91} +(4.11963 - 2.99308i) q^{92} +(0.456043 - 2.87934i) q^{93} +(5.27906 - 0.836122i) q^{94} +(-8.40337 - 16.4925i) q^{95} +(-2.60527 - 2.60527i) q^{96} +(2.25597 + 14.2436i) q^{97} +(1.93680 + 5.96087i) q^{98} +(-1.00028 - 0.158429i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 10q^{2} - 6q^{3} - 10q^{5} - 2q^{6} - 8q^{7} - 10q^{8} + O(q^{10}) \) \( 24q - 10q^{2} - 6q^{3} - 10q^{5} - 2q^{6} - 8q^{7} - 10q^{8} + 6q^{10} - 16q^{11} + 2q^{12} + 14q^{14} + 8q^{15} - 20q^{16} + 8q^{17} + 16q^{19} + 20q^{20} - 10q^{21} + 6q^{22} + 12q^{23} + 68q^{24} - 8q^{25} - 28q^{26} - 6q^{27} + 18q^{28} + 40q^{29} - 36q^{30} - 12q^{31} + 10q^{33} - 16q^{34} - 36q^{35} - 40q^{36} + 46q^{38} - 50q^{39} - 44q^{40} - 4q^{41} - 40q^{42} - 48q^{44} + 16q^{45} + 70q^{46} - 12q^{47} - 50q^{48} - 30q^{49} - 24q^{51} + 20q^{52} - 26q^{53} + 68q^{54} + 20q^{55} + 106q^{56} + 10q^{57} - 20q^{58} + 6q^{59} + 76q^{60} + 30q^{61} - 10q^{62} + 92q^{63} + 70q^{64} + 68q^{65} + 34q^{66} - 22q^{67} - 20q^{68} - 38q^{69} - 20q^{70} + 4q^{71} - 74q^{72} + 10q^{74} + 4q^{75} - 128q^{76} - 20q^{77} - 10q^{78} - 2q^{79} - 70q^{80} + 28q^{81} - 90q^{82} + 80q^{83} - 30q^{84} - 56q^{85} - 46q^{86} - 10q^{87} + 10q^{88} - 72q^{89} - 70q^{90} - 6q^{93} - 18q^{94} - 40q^{95} + 66q^{96} - 22q^{97} + 6q^{98} + 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/41\mathbb{Z}\right)^\times\).

\(n\) \(6\)
\(\chi(n)\) \(e\left(\frac{17}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.29671 0.746246i −1.62402 0.527676i −0.651133 0.758963i \(-0.725706\pi\)
−0.972885 + 0.231288i \(0.925706\pi\)
\(3\) −1.67347 + 1.67347i −0.966180 + 0.966180i −0.999447 0.0332667i \(-0.989409\pi\)
0.0332667 + 0.999447i \(0.489409\pi\)
\(4\) 3.09996 + 2.25225i 1.54998 + 1.12613i
\(5\) −1.68856 + 2.32411i −0.755148 + 1.03937i 0.242455 + 0.970163i \(0.422047\pi\)
−0.997602 + 0.0692088i \(0.977953\pi\)
\(6\) 5.09230 2.59466i 2.07892 1.05926i
\(7\) −1.86997 0.952797i −0.706782 0.360123i 0.0633646 0.997990i \(-0.479817\pi\)
−0.770146 + 0.637867i \(0.779817\pi\)
\(8\) −2.60008 3.57870i −0.919266 1.26526i
\(9\) 2.60102i 0.867007i
\(10\) 5.61249 4.07771i 1.77483 1.28949i
\(11\) 0.0609104 0.384573i 0.0183652 0.115953i −0.976803 0.214141i \(-0.931305\pi\)
0.995168 + 0.0981881i \(0.0313047\pi\)
\(12\) −8.95677 + 1.41861i −2.58560 + 0.409518i
\(13\) 1.56991 + 3.08112i 0.435415 + 0.854549i 0.999583 + 0.0288893i \(0.00919702\pi\)
−0.564168 + 0.825660i \(0.690803\pi\)
\(14\) 3.58375 + 3.58375i 0.957799 + 0.957799i
\(15\) −1.06357 6.71509i −0.274611 1.73383i
\(16\) 0.932875 + 2.87109i 0.233219 + 0.717774i
\(17\) 5.05100 + 0.800000i 1.22505 + 0.194028i 0.735243 0.677804i \(-0.237068\pi\)
0.489804 + 0.871832i \(0.337068\pi\)
\(18\) −1.94100 + 5.97379i −0.457498 + 1.40804i
\(19\) −2.92520 + 5.74102i −0.671086 + 1.31708i 0.264638 + 0.964348i \(0.414748\pi\)
−0.935724 + 0.352733i \(0.885252\pi\)
\(20\) −10.4689 + 3.40156i −2.34092 + 0.760613i
\(21\) 4.72382 1.53486i 1.03082 0.334934i
\(22\) −0.426880 + 0.837799i −0.0910111 + 0.178619i
\(23\) 0.410662 1.26389i 0.0856289 0.263539i −0.899069 0.437806i \(-0.855756\pi\)
0.984698 + 0.174267i \(0.0557557\pi\)
\(24\) 10.3400 + 1.63770i 2.11065 + 0.334294i
\(25\) −1.00514 3.09351i −0.201028 0.618701i
\(26\) −1.30635 8.24798i −0.256197 1.61756i
\(27\) −0.667682 0.667682i −0.128495 0.128495i
\(28\) −3.65089 7.16527i −0.689953 1.35411i
\(29\) 0.589758 0.0934085i 0.109515 0.0173455i −0.101436 0.994842i \(-0.532344\pi\)
0.210952 + 0.977497i \(0.432344\pi\)
\(30\) −2.56841 + 16.2163i −0.468925 + 2.96068i
\(31\) −0.996546 + 0.724033i −0.178985 + 0.130040i −0.673670 0.739032i \(-0.735283\pi\)
0.494685 + 0.869072i \(0.335283\pi\)
\(32\) 1.55681i 0.275207i
\(33\) 0.541641 + 0.745505i 0.0942876 + 0.129776i
\(34\) −11.0037 5.60665i −1.88712 0.961533i
\(35\) 5.37196 2.73715i 0.908027 0.462663i
\(36\) 5.85815 8.06305i 0.976358 1.34384i
\(37\) −2.07936 1.51074i −0.341845 0.248365i 0.403595 0.914938i \(-0.367761\pi\)
−0.745440 + 0.666573i \(0.767761\pi\)
\(38\) 11.0025 11.0025i 1.78485 1.78485i
\(39\) −7.78337 2.52897i −1.24634 0.404959i
\(40\) 12.7077 2.00926
\(41\) 1.91012 + 6.11158i 0.298310 + 0.954469i
\(42\) −11.9946 −1.85081
\(43\) 9.42697 + 3.06301i 1.43760 + 0.467104i 0.921148 0.389212i \(-0.127253\pi\)
0.516452 + 0.856316i \(0.327253\pi\)
\(44\) 1.05497 1.05497i 0.159043 0.159043i
\(45\) 6.04504 + 4.39198i 0.901142 + 0.654718i
\(46\) −1.88634 + 2.59633i −0.278126 + 0.382808i
\(47\) −1.97205 + 1.00481i −0.287653 + 0.146567i −0.591863 0.806038i \(-0.701607\pi\)
0.304210 + 0.952605i \(0.401607\pi\)
\(48\) −6.36584 3.24356i −0.918830 0.468167i
\(49\) −1.52553 2.09972i −0.217934 0.299960i
\(50\) 7.85497i 1.11086i
\(51\) −9.79148 + 7.11393i −1.37108 + 0.996149i
\(52\) −2.07280 + 13.0872i −0.287446 + 1.81486i
\(53\) −5.34140 + 0.845995i −0.733698 + 0.116206i −0.512093 0.858930i \(-0.671130\pi\)
−0.221605 + 0.975136i \(0.571130\pi\)
\(54\) 1.03522 + 2.03173i 0.140875 + 0.276483i
\(55\) 0.790938 + 0.790938i 0.106650 + 0.106650i
\(56\) 1.45229 + 9.16940i 0.194070 + 1.22531i
\(57\) −4.71221 14.5027i −0.624147 1.92093i
\(58\) −1.42421 0.225572i −0.187008 0.0296191i
\(59\) 2.04191 6.28435i 0.265834 0.818153i −0.725666 0.688047i \(-0.758468\pi\)
0.991500 0.130106i \(-0.0415317\pi\)
\(60\) 11.8271 23.2119i 1.52687 2.99664i
\(61\) 6.08019 1.97557i 0.778489 0.252946i 0.107294 0.994227i \(-0.465781\pi\)
0.671195 + 0.741281i \(0.265781\pi\)
\(62\) 2.82908 0.919225i 0.359294 0.116742i
\(63\) −2.47824 + 4.86383i −0.312229 + 0.612785i
\(64\) 3.02751 9.31772i 0.378439 1.16472i
\(65\) −9.81174 1.55403i −1.21700 0.192753i
\(66\) −0.687662 2.11640i −0.0846453 0.260511i
\(67\) 0.874252 + 5.51981i 0.106807 + 0.674352i 0.981757 + 0.190139i \(0.0608940\pi\)
−0.874950 + 0.484213i \(0.839106\pi\)
\(68\) 13.8561 + 13.8561i 1.68030 + 1.68030i
\(69\) 1.42785 + 2.80231i 0.171893 + 0.337359i
\(70\) −14.3804 + 2.27763i −1.71879 + 0.272229i
\(71\) −1.09545 + 6.91639i −0.130006 + 0.820824i 0.833379 + 0.552702i \(0.186403\pi\)
−0.963385 + 0.268123i \(0.913597\pi\)
\(72\) −9.30827 + 6.76285i −1.09699 + 0.797010i
\(73\) 14.4984i 1.69692i −0.529263 0.848458i \(-0.677532\pi\)
0.529263 0.848458i \(-0.322468\pi\)
\(74\) 3.64830 + 5.02146i 0.424106 + 0.583732i
\(75\) 6.85898 + 3.49482i 0.792006 + 0.403547i
\(76\) −21.9982 + 11.2086i −2.52337 + 1.28572i
\(77\) −0.480321 + 0.661105i −0.0547376 + 0.0753399i
\(78\) 15.9889 + 11.6166i 1.81039 + 1.31532i
\(79\) 4.23136 4.23136i 0.476066 0.476066i −0.427805 0.903871i \(-0.640713\pi\)
0.903871 + 0.427805i \(0.140713\pi\)
\(80\) −8.24794 2.67992i −0.922148 0.299624i
\(81\) 10.0378 1.11531
\(82\) 0.173757 15.4619i 0.0191882 1.70749i
\(83\) 15.4232 1.69292 0.846458 0.532456i \(-0.178731\pi\)
0.846458 + 0.532456i \(0.178731\pi\)
\(84\) 18.1005 + 5.88122i 1.97493 + 0.641694i
\(85\) −10.3882 + 10.3882i −1.12676 + 1.12676i
\(86\) −19.3653 14.0697i −2.08821 1.51717i
\(87\) −0.830627 + 1.14326i −0.0890526 + 0.122570i
\(88\) −1.53464 + 0.781940i −0.163594 + 0.0833551i
\(89\) 0.298137 + 0.151908i 0.0316024 + 0.0161022i 0.469720 0.882815i \(-0.344355\pi\)
−0.438118 + 0.898918i \(0.644355\pi\)
\(90\) −10.6062 14.5982i −1.11799 1.53879i
\(91\) 7.25741i 0.760783i
\(92\) 4.11963 2.99308i 0.429501 0.312050i
\(93\) 0.456043 2.87934i 0.0472895 0.298574i
\(94\) 5.27906 0.836122i 0.544494 0.0862394i
\(95\) −8.40337 16.4925i −0.862167 1.69210i
\(96\) −2.60527 2.60527i −0.265900 0.265900i
\(97\) 2.25597 + 14.2436i 0.229059 + 1.44622i 0.787315 + 0.616551i \(0.211470\pi\)
−0.558257 + 0.829668i \(0.688530\pi\)
\(98\) 1.93680 + 5.96087i 0.195647 + 0.602139i
\(99\) −1.00028 0.158429i −0.100532 0.0159227i
\(100\) 3.85146 11.8536i 0.385146 1.18536i
\(101\) −5.20975 + 10.2247i −0.518389 + 1.01740i 0.472323 + 0.881425i \(0.343415\pi\)
−0.990713 + 0.135971i \(0.956585\pi\)
\(102\) 27.7969 9.03177i 2.75231 0.894279i
\(103\) −12.4376 + 4.04121i −1.22551 + 0.398192i −0.849085 0.528256i \(-0.822846\pi\)
−0.376423 + 0.926448i \(0.622846\pi\)
\(104\) 6.94452 13.6294i 0.680966 1.33647i
\(105\) −4.40928 + 13.5704i −0.430302 + 1.32433i
\(106\) 12.8990 + 2.04300i 1.25286 + 0.198433i
\(107\) −2.13126 6.55935i −0.206037 0.634116i −0.999669 0.0257185i \(-0.991813\pi\)
0.793632 0.608397i \(-0.208187\pi\)
\(108\) −0.565998 3.57357i −0.0544632 0.343867i
\(109\) −5.79514 5.79514i −0.555074 0.555074i 0.372827 0.927901i \(-0.378389\pi\)
−0.927901 + 0.372827i \(0.878389\pi\)
\(110\) −1.22632 2.40679i −0.116925 0.229478i
\(111\) 6.00794 0.951565i 0.570249 0.0903185i
\(112\) 0.991122 6.25770i 0.0936522 0.591297i
\(113\) −2.92382 + 2.12428i −0.275049 + 0.199835i −0.716755 0.697325i \(-0.754374\pi\)
0.441706 + 0.897160i \(0.354374\pi\)
\(114\) 36.8249i 3.44897i
\(115\) 2.24398 + 3.08857i 0.209252 + 0.288011i
\(116\) 2.03860 + 1.03872i 0.189280 + 0.0964428i
\(117\) 8.01406 4.08337i 0.740900 0.377507i
\(118\) −9.37935 + 12.9096i −0.863439 + 1.18842i
\(119\) −8.68297 6.30855i −0.795967 0.578304i
\(120\) −21.2659 + 21.2659i −1.94130 + 1.94130i
\(121\) 10.3174 + 3.35234i 0.937949 + 0.304758i
\(122\) −15.4387 −1.39775
\(123\) −13.4241 7.03103i −1.21041 0.633967i
\(124\) −4.71995 −0.423864
\(125\) −4.77387 1.55112i −0.426988 0.138737i
\(126\) 9.32142 9.32142i 0.830418 0.830418i
\(127\) 8.27813 + 6.01442i 0.734566 + 0.533693i 0.891004 0.453995i \(-0.150001\pi\)
−0.156439 + 0.987688i \(0.550001\pi\)
\(128\) −12.0765 + 16.6219i −1.06742 + 1.46918i
\(129\) −20.9016 + 10.6499i −1.84029 + 0.937673i
\(130\) 21.3750 + 10.8911i 1.87471 + 0.955214i
\(131\) 6.10182 + 8.39844i 0.533119 + 0.733775i 0.987602 0.156981i \(-0.0501760\pi\)
−0.454483 + 0.890755i \(0.650176\pi\)
\(132\) 3.53094i 0.307329i
\(133\) 10.9401 7.94842i 0.948623 0.689215i
\(134\) 2.11124 13.3298i 0.182383 1.15152i
\(135\) 2.67919 0.424341i 0.230588 0.0365215i
\(136\) −10.2700 20.1561i −0.880648 1.72837i
\(137\) 2.71426 + 2.71426i 0.231895 + 0.231895i 0.813483 0.581588i \(-0.197569\pi\)
−0.581588 + 0.813483i \(0.697569\pi\)
\(138\) −1.18814 7.50162i −0.101141 0.638581i
\(139\) 2.09647 + 6.45229i 0.177821 + 0.547276i 0.999751 0.0223122i \(-0.00710280\pi\)
−0.821930 + 0.569588i \(0.807103\pi\)
\(140\) 22.8176 + 3.61395i 1.92844 + 0.305434i
\(141\) 1.61865 4.98170i 0.136315 0.419534i
\(142\) 7.67726 15.0675i 0.644261 1.26443i
\(143\) 1.28054 0.416073i 0.107084 0.0347938i
\(144\) 7.46778 2.42643i 0.622315 0.202202i
\(145\) −0.778751 + 1.52839i −0.0646718 + 0.126926i
\(146\) −10.8194 + 33.2987i −0.895421 + 2.75582i
\(147\) 6.06676 + 0.960881i 0.500378 + 0.0792521i
\(148\) −3.04336 9.36648i −0.250162 0.769920i
\(149\) −1.99565 12.6001i −0.163490 1.03224i −0.923856 0.382741i \(-0.874980\pi\)
0.760365 0.649496i \(-0.225020\pi\)
\(150\) −13.1451 13.1451i −1.07329 1.07329i
\(151\) 1.21997 + 2.39432i 0.0992794 + 0.194847i 0.935304 0.353845i \(-0.115126\pi\)
−0.836025 + 0.548692i \(0.815126\pi\)
\(152\) 28.1511 4.45870i 2.28336 0.361648i
\(153\) 2.08081 13.1377i 0.168224 1.06212i
\(154\) 1.59650 1.15993i 0.128650 0.0934697i
\(155\) 3.53865i 0.284231i
\(156\) −18.4322 25.3698i −1.47576 2.03121i
\(157\) 9.25397 + 4.71513i 0.738547 + 0.376308i 0.782438 0.622728i \(-0.213976\pi\)
−0.0438917 + 0.999036i \(0.513976\pi\)
\(158\) −12.8759 + 6.56057i −1.02435 + 0.521931i
\(159\) 7.52294 10.3544i 0.596608 0.821160i
\(160\) −3.61818 2.62876i −0.286042 0.207822i
\(161\) −1.97215 + 1.97215i −0.155427 + 0.155427i
\(162\) −23.0538 7.49064i −1.81128 0.588520i
\(163\) 3.48663 0.273094 0.136547 0.990634i \(-0.456399\pi\)
0.136547 + 0.990634i \(0.456399\pi\)
\(164\) −7.84353 + 23.2477i −0.612477 + 1.81534i
\(165\) −2.64723 −0.206086
\(166\) −35.4226 11.5095i −2.74933 0.893310i
\(167\) 13.8248 13.8248i 1.06980 1.06980i 0.0724237 0.997374i \(-0.476927\pi\)
0.997374 0.0724237i \(-0.0230734\pi\)
\(168\) −17.7751 12.9144i −1.37138 0.996365i
\(169\) 0.612517 0.843057i 0.0471167 0.0648505i
\(170\) 31.6108 16.1065i 2.42444 1.23531i
\(171\) 14.9325 + 7.60850i 1.14192 + 0.581836i
\(172\) 22.3245 + 30.7271i 1.70223 + 2.34292i
\(173\) 12.0871i 0.918962i −0.888187 0.459481i \(-0.848035\pi\)
0.888187 0.459481i \(-0.151965\pi\)
\(174\) 2.76086 2.00588i 0.209300 0.152066i
\(175\) −1.06790 + 6.74246i −0.0807257 + 0.509682i
\(176\) 1.16097 0.183879i 0.0875113 0.0138604i
\(177\) 7.09961 + 13.9338i 0.533639 + 1.04733i
\(178\) −0.571372 0.571372i −0.0428262 0.0428262i
\(179\) 0.311865 + 1.96904i 0.0233099 + 0.147173i 0.996598 0.0824133i \(-0.0262628\pi\)
−0.973288 + 0.229586i \(0.926263\pi\)
\(180\) 8.84753 + 27.2299i 0.659456 + 2.02960i
\(181\) −16.0347 2.53965i −1.19185 0.188771i −0.471174 0.882040i \(-0.656170\pi\)
−0.720678 + 0.693269i \(0.756170\pi\)
\(182\) −5.41581 + 16.6682i −0.401447 + 1.23553i
\(183\) −6.86897 + 13.4811i −0.507769 + 0.996552i
\(184\) −5.59083 + 1.81657i −0.412161 + 0.133919i
\(185\) 7.02226 2.28167i 0.516287 0.167752i
\(186\) −3.19610 + 6.27269i −0.234349 + 0.459936i
\(187\) 0.615317 1.89375i 0.0449964 0.138485i
\(188\) −8.37636 1.32668i −0.610909 0.0967584i
\(189\) 0.612379 + 1.88471i 0.0445440 + 0.137092i
\(190\) 6.99260 + 44.1495i 0.507297 + 3.20294i
\(191\) 3.91166 + 3.91166i 0.283038 + 0.283038i 0.834319 0.551282i \(-0.185861\pi\)
−0.551282 + 0.834319i \(0.685861\pi\)
\(192\) 10.5265 + 20.6594i 0.759684 + 1.49096i
\(193\) −8.30947 + 1.31609i −0.598129 + 0.0947343i −0.448155 0.893956i \(-0.647919\pi\)
−0.149974 + 0.988690i \(0.547919\pi\)
\(194\) 5.44794 34.3969i 0.391139 2.46956i
\(195\) 19.0203 13.8191i 1.36207 0.989603i
\(196\) 9.94492i 0.710352i
\(197\) −15.4090 21.2087i −1.09785 1.51106i −0.838206 0.545354i \(-0.816395\pi\)
−0.259643 0.965705i \(-0.583605\pi\)
\(198\) 2.17913 + 1.11032i 0.154864 + 0.0789072i
\(199\) 10.0682 5.13001i 0.713716 0.363657i −0.0591296 0.998250i \(-0.518833\pi\)
0.772846 + 0.634594i \(0.218833\pi\)
\(200\) −8.45729 + 11.6405i −0.598020 + 0.823105i
\(201\) −10.7003 7.77422i −0.754740 0.548351i
\(202\) 19.5954 19.5954i 1.37873 1.37873i
\(203\) −1.19183 0.387249i −0.0836500 0.0271795i
\(204\) −46.3755 −3.24694
\(205\) −17.4293 5.88047i −1.21732 0.410710i
\(206\) 31.5812 2.20036
\(207\) −3.28740 1.06814i −0.228490 0.0742409i
\(208\) −7.38166 + 7.38166i −0.511826 + 0.511826i
\(209\) 2.02967 + 1.47464i 0.140395 + 0.102003i
\(210\) 20.2537 27.8768i 1.39764 1.92368i
\(211\) −4.73888 + 2.41458i −0.326238 + 0.166226i −0.609437 0.792835i \(-0.708604\pi\)
0.283199 + 0.959061i \(0.408604\pi\)
\(212\) −18.4635 9.40763i −1.26808 0.646119i
\(213\) −9.74118 13.4076i −0.667455 0.918673i
\(214\) 16.6554i 1.13854i
\(215\) −23.0368 + 16.7372i −1.57110 + 1.14147i
\(216\) −0.653408 + 4.12546i −0.0444588 + 0.280702i
\(217\) 2.55337 0.404414i 0.173334 0.0274534i
\(218\) 8.98516 + 17.6344i 0.608552 + 1.19435i
\(219\) 24.2628 + 24.2628i 1.63953 + 1.63953i
\(220\) 0.670483 + 4.23326i 0.0452040 + 0.285407i
\(221\) 5.46472 + 16.8187i 0.367597 + 1.13135i
\(222\) −14.5086 2.29794i −0.973754 0.154227i
\(223\) 2.16692 6.66908i 0.145107 0.446595i −0.851917 0.523676i \(-0.824560\pi\)
0.997025 + 0.0770815i \(0.0245602\pi\)
\(224\) 1.48332 2.91118i 0.0991085 0.194511i
\(225\) −8.04627 + 2.61439i −0.536418 + 0.174293i
\(226\) 8.30039 2.69696i 0.552134 0.179399i
\(227\) −9.20507 + 18.0660i −0.610962 + 1.19908i 0.353643 + 0.935380i \(0.384943\pi\)
−0.964605 + 0.263699i \(0.915057\pi\)
\(228\) 18.0560 55.5707i 1.19579 3.68026i
\(229\) 0.332243 + 0.0526221i 0.0219552 + 0.00347736i 0.167402 0.985889i \(-0.446462\pi\)
−0.145447 + 0.989366i \(0.546462\pi\)
\(230\) −2.84893 8.76812i −0.187853 0.578153i
\(231\) −0.302537 1.91014i −0.0199055 0.125678i
\(232\) −1.86770 1.86770i −0.122620 0.122620i
\(233\) 5.88436 + 11.5487i 0.385497 + 0.756581i 0.999464 0.0327513i \(-0.0104269\pi\)
−0.613966 + 0.789332i \(0.710427\pi\)
\(234\) −21.4532 + 3.39785i −1.40244 + 0.222124i
\(235\) 0.994645 6.27994i 0.0648835 0.409658i
\(236\) 20.4838 14.8823i 1.33338 0.968757i
\(237\) 14.1621i 0.919930i
\(238\) 15.2345 + 20.9685i 0.987508 + 1.35919i
\(239\) −10.5772 5.38936i −0.684183 0.348609i 0.0771047 0.997023i \(-0.475432\pi\)
−0.761288 + 0.648414i \(0.775432\pi\)
\(240\) 18.2875 9.31794i 1.18045 0.601470i
\(241\) 15.9932 22.0128i 1.03021 1.41797i 0.125428 0.992103i \(-0.459970\pi\)
0.904787 0.425865i \(-0.140030\pi\)
\(242\) −21.1945 15.3987i −1.36243 0.989865i
\(243\) −14.7949 + 14.7949i −0.949091 + 0.949091i
\(244\) 23.2978 + 7.56992i 1.49149 + 0.484615i
\(245\) 7.45593 0.476342
\(246\) 25.5844 + 26.1659i 1.63120 + 1.66828i
\(247\) −22.2811 −1.41771
\(248\) 5.18219 + 1.68380i 0.329070 + 0.106921i
\(249\) −25.8103 + 25.8103i −1.63566 + 1.63566i
\(250\) 9.80667 + 7.12496i 0.620228 + 0.450622i
\(251\) −0.796453 + 1.09622i −0.0502716 + 0.0691930i −0.833413 0.552651i \(-0.813616\pi\)
0.783141 + 0.621844i \(0.213616\pi\)
\(252\) −18.6370 + 9.49603i −1.17402 + 0.598193i
\(253\) −0.461044 0.234914i −0.0289856 0.0147689i
\(254\) −14.5242 19.9909i −0.911331 1.25434i
\(255\) 34.7687i 2.17730i
\(256\) 24.2879 17.6462i 1.51800 1.10289i
\(257\) −0.826496 + 5.21829i −0.0515554 + 0.325508i 0.948409 + 0.317050i \(0.102692\pi\)
−0.999964 + 0.00845795i \(0.997308\pi\)
\(258\) 55.9525 8.86200i 3.48345 0.551724i
\(259\) 2.44891 + 4.80625i 0.152168 + 0.298646i
\(260\) −26.9159 26.9159i −1.66925 1.66925i
\(261\) −0.242957 1.53397i −0.0150387 0.0949505i
\(262\) −7.74681 23.8422i −0.478599 1.47298i
\(263\) −2.33090 0.369179i −0.143730 0.0227645i 0.0841550 0.996453i \(-0.473181\pi\)
−0.227885 + 0.973688i \(0.573181\pi\)
\(264\) 1.25963 3.87674i 0.0775248 0.238597i
\(265\) 7.05310 13.8425i 0.433269 0.850338i
\(266\) −31.0576 + 10.0912i −1.90426 + 0.618733i
\(267\) −0.753138 + 0.244709i −0.0460913 + 0.0149760i
\(268\) −9.72186 + 19.0802i −0.593857 + 1.16551i
\(269\) −5.22162 + 16.0705i −0.318368 + 0.979835i 0.655978 + 0.754780i \(0.272256\pi\)
−0.974346 + 0.225055i \(0.927744\pi\)
\(270\) −6.46997 1.02474i −0.393750 0.0623639i
\(271\) 6.54109 + 20.1314i 0.397343 + 1.22290i 0.927122 + 0.374760i \(0.122275\pi\)
−0.529779 + 0.848136i \(0.677725\pi\)
\(272\) 2.41508 + 15.2482i 0.146436 + 0.924558i
\(273\) 12.1451 + 12.1451i 0.735053 + 0.735053i
\(274\) −4.20836 8.25937i −0.254236 0.498967i
\(275\) −1.25090 + 0.198124i −0.0754323 + 0.0119473i
\(276\) −1.88524 + 11.9029i −0.113478 + 0.716472i
\(277\) −9.22338 + 6.70118i −0.554179 + 0.402635i −0.829324 0.558768i \(-0.811274\pi\)
0.275145 + 0.961403i \(0.411274\pi\)
\(278\) 16.3835i 0.982618i
\(279\) 1.88322 + 2.59204i 0.112746 + 0.155181i
\(280\) −23.7629 12.1078i −1.42011 0.723581i
\(281\) 24.0979 12.2785i 1.43756 0.732474i 0.450494 0.892779i \(-0.351248\pi\)
0.987068 + 0.160305i \(0.0512477\pi\)
\(282\) −7.43514 + 10.2336i −0.442756 + 0.609402i
\(283\) −9.07709 6.59489i −0.539577 0.392026i 0.284351 0.958720i \(-0.408222\pi\)
−0.823928 + 0.566695i \(0.808222\pi\)
\(284\) −18.9733 + 18.9733i −1.12586 + 1.12586i
\(285\) 41.6626 + 13.5370i 2.46788 + 0.801863i
\(286\) −3.25152 −0.192267
\(287\) 2.25123 13.2484i 0.132886 0.782030i
\(288\) 4.04928 0.238606
\(289\) 8.70462 + 2.82830i 0.512037 + 0.166371i
\(290\) 2.92912 2.92912i 0.172004 0.172004i
\(291\) −27.6116 20.0610i −1.61862 1.17600i
\(292\) 32.6541 44.9446i 1.91094 2.63018i
\(293\) 19.3154 9.84170i 1.12842 0.574958i 0.212837 0.977088i \(-0.431730\pi\)
0.915583 + 0.402129i \(0.131730\pi\)
\(294\) −13.2165 6.73416i −0.770804 0.392744i
\(295\) 11.1576 + 15.3571i 0.649621 + 0.894127i
\(296\) 11.3695i 0.660837i
\(297\) −0.297441 + 0.216104i −0.0172593 + 0.0125396i
\(298\) −4.81931 + 30.4279i −0.279175 + 1.76264i
\(299\) 4.53889 0.718890i 0.262491 0.0415745i
\(300\) 13.3913 + 26.2819i 0.773148 + 1.51739i
\(301\) −14.7097 14.7097i −0.847854 0.847854i
\(302\) −1.01516 6.40945i −0.0584157 0.368822i
\(303\) −8.39239 25.8291i −0.482130 1.48385i
\(304\) −19.2119 3.04286i −1.10188 0.174520i
\(305\) −5.67534 + 17.4669i −0.324969 + 1.00015i
\(306\) −14.5830 + 28.6208i −0.833656 + 1.63614i
\(307\) −16.4573 + 5.34729i −0.939267 + 0.305186i −0.738347 0.674421i \(-0.764393\pi\)
−0.200920 + 0.979608i \(0.564393\pi\)
\(308\) −2.97795 + 0.967594i −0.169684 + 0.0551338i
\(309\) 14.0511 27.5767i 0.799337 1.56879i
\(310\) −2.64071 + 8.12726i −0.149982 + 0.461597i
\(311\) −11.9416 1.89137i −0.677148 0.107250i −0.191618 0.981470i \(-0.561373\pi\)
−0.485530 + 0.874220i \(0.661373\pi\)
\(312\) 11.1869 + 34.4299i 0.633336 + 1.94921i
\(313\) −3.39130 21.4118i −0.191688 1.21027i −0.876447 0.481499i \(-0.840093\pi\)
0.684759 0.728770i \(-0.259907\pi\)
\(314\) −17.7350 17.7350i −1.00085 1.00085i
\(315\) −7.11938 13.9726i −0.401132 0.787265i
\(316\) 22.6471 3.58695i 1.27400 0.201782i
\(317\) −3.09471 + 19.5392i −0.173816 + 1.09743i 0.734334 + 0.678788i \(0.237494\pi\)
−0.908150 + 0.418644i \(0.862506\pi\)
\(318\) −25.0050 + 18.1672i −1.40221 + 1.01876i
\(319\) 0.232495i 0.0130172i
\(320\) 16.5432 + 22.7698i 0.924795 + 1.27287i
\(321\) 14.5435 + 7.41028i 0.811739 + 0.413601i
\(322\) 6.00117 3.05775i 0.334432 0.170402i
\(323\) −19.3680 + 26.6577i −1.07766 + 1.48328i
\(324\) 31.1166 + 22.6075i 1.72870 + 1.25597i
\(325\) 7.95349 7.95349i 0.441180 0.441180i
\(326\) −8.00778 2.60189i −0.443510 0.144105i
\(327\) 19.3960 1.07260
\(328\) 16.9051 22.7263i 0.933426 1.25485i
\(329\) 4.64505 0.256090
\(330\) 6.07991 + 1.97548i 0.334688 + 0.108747i
\(331\) 20.3952 20.3952i 1.12102 1.12102i 0.129436 0.991588i \(-0.458683\pi\)
0.991588 0.129436i \(-0.0413166\pi\)
\(332\) 47.8112 + 34.7369i 2.62398 + 1.90643i
\(333\) −3.92948 + 5.40846i −0.215334 + 0.296382i
\(334\) −42.0683 + 21.4349i −2.30188 + 1.17287i
\(335\) −14.3049 7.28869i −0.781558 0.398224i
\(336\) 8.81347 + 12.1307i 0.480814 + 0.661784i
\(337\) 23.4367i 1.27668i 0.769754 + 0.638340i \(0.220379\pi\)
−0.769754 + 0.638340i \(0.779621\pi\)
\(338\) −2.03590 + 1.47917i −0.110738 + 0.0804561i
\(339\) 1.33801 8.44784i 0.0726706 0.458824i
\(340\) −55.5998 + 8.80615i −3.01532 + 0.477580i
\(341\) 0.217744 + 0.427346i 0.0117915 + 0.0231421i
\(342\) −28.6178 28.6178i −1.54748 1.54748i
\(343\) 3.15028 + 19.8901i 0.170099 + 1.07396i
\(344\) −13.5493 41.7004i −0.730528 2.24833i
\(345\) −8.92388 1.41340i −0.480446 0.0760951i
\(346\) −9.01992 + 27.7605i −0.484914 + 1.49241i
\(347\) 6.09771 11.9674i 0.327342 0.642445i −0.667418 0.744684i \(-0.732600\pi\)
0.994760 + 0.102238i \(0.0326004\pi\)
\(348\) −5.14982 + 1.67328i −0.276059 + 0.0896971i
\(349\) −10.5919 + 3.44151i −0.566970 + 0.184220i −0.578455 0.815714i \(-0.696344\pi\)
0.0114848 + 0.999934i \(0.496344\pi\)
\(350\) 7.48419 14.6885i 0.400047 0.785136i
\(351\) 1.00901 3.10541i 0.0538569 0.165755i
\(352\) 0.598706 + 0.0948257i 0.0319111 + 0.00505423i
\(353\) −4.34026 13.3579i −0.231009 0.710971i −0.997626 0.0688670i \(-0.978062\pi\)
0.766617 0.642104i \(-0.221938\pi\)
\(354\) −5.90772 37.2999i −0.313992 1.98247i
\(355\) −14.2247 14.2247i −0.754968 0.754968i
\(356\) 0.582075 + 1.14239i 0.0308499 + 0.0605464i
\(357\) 25.0879 3.97353i 1.32779 0.210302i
\(358\) 0.753123 4.75503i 0.0398038 0.251311i
\(359\) 23.2237 16.8730i 1.22570 0.890521i 0.229137 0.973394i \(-0.426409\pi\)
0.996560 + 0.0828726i \(0.0264095\pi\)
\(360\) 33.0529i 1.74204i
\(361\) −13.2346 18.2159i −0.696560 0.958733i
\(362\) 34.9319 + 17.7987i 1.83598 + 0.935479i
\(363\) −22.8760 + 11.6559i −1.20068 + 0.611776i
\(364\) 16.3455 22.4976i 0.856737 1.17920i
\(365\) 33.6959 + 24.4815i 1.76373 + 1.28142i
\(366\) 25.8362 25.8362i 1.35048 1.35048i
\(367\) −21.1292 6.86529i −1.10293 0.358365i −0.299703 0.954032i \(-0.596888\pi\)
−0.803231 + 0.595667i \(0.796888\pi\)
\(368\) 4.01184 0.209131
\(369\) 15.8963 4.96826i 0.827531 0.258637i
\(370\) −17.8308 −0.926978
\(371\) 10.7943 + 3.50729i 0.560413 + 0.182089i
\(372\) 7.89871 7.89871i 0.409529 0.409529i
\(373\) 14.0050 + 10.1752i 0.725149 + 0.526852i 0.888025 0.459795i \(-0.152077\pi\)
−0.162876 + 0.986647i \(0.552077\pi\)
\(374\) −2.82641 + 3.89022i −0.146150 + 0.201158i
\(375\) 10.5847 5.39318i 0.546592 0.278502i
\(376\) 8.72340 + 4.44479i 0.449875 + 0.229223i
\(377\) 1.21367 + 1.67047i 0.0625072 + 0.0860337i
\(378\) 4.78562i 0.246146i
\(379\) −2.13917 + 1.55420i −0.109882 + 0.0798339i −0.641369 0.767232i \(-0.721633\pi\)
0.531487 + 0.847066i \(0.321633\pi\)
\(380\) 11.0952 70.0526i 0.569174 3.59362i
\(381\) −23.9182 + 3.78827i −1.22537 + 0.194079i
\(382\) −6.06488 11.9030i −0.310306 0.609011i
\(383\) 20.4903 + 20.4903i 1.04701 + 1.04701i 0.998839 + 0.0481661i \(0.0153377\pi\)
0.0481661 + 0.998839i \(0.484662\pi\)
\(384\) −7.60656 48.0259i −0.388170 2.45081i
\(385\) −0.725426 2.23263i −0.0369711 0.113785i
\(386\) 20.0666 + 3.17823i 1.02136 + 0.161768i
\(387\) 7.96695 24.5197i 0.404983 1.24641i
\(388\) −25.0868 + 49.2356i −1.27359 + 2.49956i
\(389\) 20.1771 6.55595i 1.02302 0.332400i 0.250994 0.967989i \(-0.419243\pi\)
0.772028 + 0.635589i \(0.219243\pi\)
\(390\) −53.9965 + 17.5445i −2.73422 + 0.888402i
\(391\) 3.08536 6.05536i 0.156033 0.306233i
\(392\) −3.54775 + 10.9189i −0.179189 + 0.551486i
\(393\) −24.2658 3.84332i −1.22405 0.193870i
\(394\) 19.5632 + 60.2092i 0.985578 + 3.03330i
\(395\) 2.68922 + 16.9791i 0.135309 + 0.854309i
\(396\) −2.74401 2.74401i −0.137892 0.137892i
\(397\) 2.06513 + 4.05305i 0.103646 + 0.203417i 0.937006 0.349315i \(-0.113586\pi\)
−0.833359 + 0.552731i \(0.813586\pi\)
\(398\) −26.9520 + 4.26878i −1.35098 + 0.213974i
\(399\) −5.00643 + 31.6093i −0.250635 + 1.58245i
\(400\) 7.94408 5.77171i 0.397204 0.288586i
\(401\) 7.53484i 0.376272i −0.982143 0.188136i \(-0.939755\pi\)
0.982143 0.188136i \(-0.0602446\pi\)
\(402\) 18.7740 + 25.8402i 0.936361 + 1.28879i
\(403\) −3.79532 1.93381i −0.189058 0.0963301i
\(404\) −39.1786 + 19.9625i −1.94921 + 0.993171i
\(405\) −16.9494 + 23.3288i −0.842221 + 1.15922i
\(406\) 2.44830 + 1.77879i 0.121507 + 0.0882801i
\(407\) −0.707647 + 0.707647i −0.0350767 + 0.0350767i
\(408\) 50.9172 + 16.5440i 2.52078 + 0.819051i
\(409\) 1.03548 0.0512013 0.0256007 0.999672i \(-0.491850\pi\)
0.0256007 + 0.999672i \(0.491850\pi\)
\(410\) 35.6418 + 26.5123i 1.76022 + 1.30935i
\(411\) −9.08448 −0.448104
\(412\) −47.6577 15.4849i −2.34793 0.762887i
\(413\) −9.80602 + 9.80602i −0.482523 + 0.482523i
\(414\) 6.75310 + 4.90641i 0.331897 + 0.241137i
\(415\) −26.0430 + 35.8451i −1.27840 + 1.75957i
\(416\) −4.79671 + 2.44405i −0.235178 + 0.119829i
\(417\) −14.3061 7.28933i −0.700573 0.356960i
\(418\) −3.56111 4.90145i −0.174180 0.239738i
\(419\) 5.57406i 0.272310i 0.990688 + 0.136155i \(0.0434746\pi\)
−0.990688 + 0.136155i \(0.956525\pi\)
\(420\) −44.2324 + 32.1367i −2.15832 + 1.56811i
\(421\) 4.88611 30.8497i 0.238134 1.50352i −0.521546 0.853223i \(-0.674644\pi\)
0.759680 0.650297i \(-0.225356\pi\)
\(422\) 12.6857 2.00922i 0.617530 0.0978071i
\(423\) 2.61353 + 5.12934i 0.127074 + 0.249397i
\(424\) 16.9156 + 16.9156i 0.821495 + 0.821495i
\(425\) −2.60216 16.4294i −0.126223 0.796944i
\(426\) 12.3673 + 38.0627i 0.599198 + 1.84414i
\(427\) −13.2521 2.09893i −0.641314 0.101574i
\(428\) 8.16647 25.1338i 0.394741 1.21489i
\(429\) −1.44666 + 2.83924i −0.0698456 + 0.137080i
\(430\) 65.3989 21.2494i 3.15381 1.02474i
\(431\) 14.2216 4.62089i 0.685031 0.222580i 0.0542346 0.998528i \(-0.482728\pi\)
0.630797 + 0.775948i \(0.282728\pi\)
\(432\) 1.29411 2.53984i 0.0622631 0.122198i
\(433\) 5.42213 16.6876i 0.260571 0.801955i −0.732110 0.681187i \(-0.761464\pi\)
0.992681 0.120769i \(-0.0385359\pi\)
\(434\) −6.16613 0.976620i −0.295984 0.0468792i
\(435\) −1.25449 3.86093i −0.0601483 0.185117i
\(436\) −4.91258 31.0168i −0.235270 1.48544i
\(437\) 6.05474 + 6.05474i 0.289637 + 0.289637i
\(438\) −37.6185 73.8305i −1.79748 3.52776i
\(439\) −6.74843 + 1.06885i −0.322085 + 0.0510133i −0.315384 0.948964i \(-0.602133\pi\)
−0.00670154 + 0.999978i \(0.502133\pi\)
\(440\) 0.774029 4.88703i 0.0369004 0.232980i
\(441\) −5.46141 + 3.96795i −0.260067 + 0.188950i
\(442\) 42.7056i 2.03130i
\(443\) 4.96856 + 6.83863i 0.236063 + 0.324913i 0.910570 0.413356i \(-0.135643\pi\)
−0.674506 + 0.738269i \(0.735643\pi\)
\(444\) 20.7675 + 10.5816i 0.985583 + 0.502180i
\(445\) −0.856473 + 0.436395i −0.0406007 + 0.0206871i
\(446\) −9.95355 + 13.6999i −0.471314 + 0.648708i
\(447\) 24.4255 + 17.7462i 1.15529 + 0.839365i
\(448\) −14.5392 + 14.5392i −0.686915 + 0.686915i
\(449\) 2.96928 + 0.964777i 0.140129 + 0.0455307i 0.378242 0.925707i \(-0.376529\pi\)
−0.238113 + 0.971238i \(0.576529\pi\)
\(450\) 20.4309 0.963123
\(451\) 2.46670 0.362322i 0.116152 0.0170611i
\(452\) −13.8481 −0.651360
\(453\) −6.04840 1.96525i −0.284179 0.0923353i
\(454\) 34.6230 34.6230i 1.62494 1.62494i
\(455\) 16.8670 + 12.2546i 0.790736 + 0.574503i
\(456\) −39.6486 + 54.5717i −1.85672 + 2.55555i
\(457\) 9.87764 5.03291i 0.462057 0.235430i −0.207436 0.978249i \(-0.566512\pi\)
0.669492 + 0.742819i \(0.266512\pi\)
\(458\) −0.723796 0.368792i −0.0338208 0.0172325i
\(459\) −2.83832 3.90661i −0.132481 0.182345i
\(460\) 14.6284i 0.682055i
\(461\) −14.4831 + 10.5226i −0.674543 + 0.490084i −0.871543 0.490319i \(-0.836880\pi\)
0.197000 + 0.980404i \(0.436880\pi\)
\(462\) −0.730598 + 4.61281i −0.0339905 + 0.214607i
\(463\) −16.2174 + 2.56859i −0.753689 + 0.119373i −0.521445 0.853285i \(-0.674607\pi\)
−0.232244 + 0.972658i \(0.574607\pi\)
\(464\) 0.818355 + 1.60611i 0.0379912 + 0.0745619i
\(465\) 5.92184 + 5.92184i 0.274619 + 0.274619i
\(466\) −4.89649 30.9152i −0.226825 1.43212i
\(467\) −3.86982 11.9101i −0.179074 0.551132i 0.820722 0.571327i \(-0.193571\pi\)
−0.999796 + 0.0201950i \(0.993571\pi\)
\(468\) 34.0400 + 5.39141i 1.57350 + 0.249218i
\(469\) 3.62443 11.1549i 0.167361 0.515084i
\(470\) −6.97079 + 13.6809i −0.321539 + 0.631055i
\(471\) −23.3769 + 7.59561i −1.07715 + 0.349987i
\(472\) −27.7989 + 9.03242i −1.27955 + 0.415751i
\(473\) 1.75215 3.43879i 0.0805640 0.158116i
\(474\) 10.5684 32.5263i 0.485425 1.49398i
\(475\) 20.7001 + 3.27858i 0.949787 + 0.150432i
\(476\) −12.7084 39.1125i −0.582489 1.79272i
\(477\) 2.20045 + 13.8931i 0.100752 + 0.636121i
\(478\) 20.2710 + 20.2710i 0.927174 + 0.927174i
\(479\) −3.18557 6.25203i −0.145552 0.285663i 0.806708 0.590951i \(-0.201247\pi\)
−0.952260 + 0.305288i \(0.901247\pi\)
\(480\) 10.4541 1.65577i 0.477162 0.0755750i
\(481\) 1.39038 8.77850i 0.0633958 0.400265i
\(482\) −53.1587 + 38.6221i −2.42131 + 1.75919i
\(483\) 6.60069i 0.300342i
\(484\) 24.4333 + 33.6295i 1.11060 + 1.52862i
\(485\) −36.9130 18.8081i −1.67613 0.854032i
\(486\) 45.0201 22.9389i 2.04215 1.04053i
\(487\) 17.4933 24.0774i 0.792695 1.09105i −0.201072 0.979576i \(-0.564443\pi\)
0.993767 0.111475i \(-0.0355575\pi\)
\(488\) −22.8790 16.6225i −1.03568 0.752467i
\(489\) −5.83479 + 5.83479i −0.263858 + 0.263858i
\(490\) −17.1241 5.56396i −0.773588 0.251354i
\(491\) −31.3635 −1.41542 −0.707708 0.706505i \(-0.750271\pi\)
−0.707708 + 0.706505i \(0.750271\pi\)
\(492\) −25.7785 52.0303i −1.16218 2.34571i
\(493\) 3.05359 0.137527
\(494\) 51.1732 + 16.6272i 2.30239 + 0.748092i
\(495\) 2.05725 2.05725i 0.0924663 0.0924663i
\(496\) −3.00842 2.18575i −0.135082 0.0981429i
\(497\) 8.63837 11.8897i 0.387484 0.533326i
\(498\) 78.5396 40.0179i 3.51944 1.79325i
\(499\) 23.9083 + 12.1819i 1.07028 + 0.545335i 0.898127 0.439735i \(-0.144928\pi\)
0.172153 + 0.985070i \(0.444928\pi\)
\(500\) −11.3053 15.5604i −0.505587 0.695881i
\(501\) 46.2710i 2.06723i
\(502\) 2.64727 1.92336i 0.118154 0.0858436i
\(503\) 3.75693 23.7203i 0.167513 1.05764i −0.750437 0.660942i \(-0.770157\pi\)
0.917950 0.396695i \(-0.129843\pi\)
\(504\) 23.8498 3.77744i 1.06235 0.168260i
\(505\) −14.9663 29.3731i −0.665992 1.30708i
\(506\) 0.883580 + 0.883580i 0.0392799 + 0.0392799i
\(507\) 0.385803 + 2.43586i 0.0171341 + 0.108180i
\(508\) 12.1159 + 37.2889i 0.537555 + 1.65443i
\(509\) −14.6108 2.31412i −0.647612 0.102572i −0.176017 0.984387i \(-0.556321\pi\)
−0.471595 + 0.881815i \(0.656321\pi\)
\(510\) −25.9460 + 79.8537i −1.14891 + 3.53598i
\(511\) −13.8141 + 27.1116i −0.611099 + 1.19935i
\(512\) −29.8704 + 9.70548i −1.32010 + 0.428926i
\(513\) 5.78628 1.88008i 0.255470 0.0830074i
\(514\) 5.79235 11.3681i 0.255489 0.501426i
\(515\) 11.6094 35.7300i 0.511571 1.57445i
\(516\) −88.7805 14.0614i −3.90834 0.619020i
\(517\) 0.266305 + 0.819602i 0.0117121 + 0.0360460i
\(518\) −2.03778 12.8661i −0.0895351 0.565302i
\(519\) 20.2274 + 20.2274i 0.887883 + 0.887883i
\(520\) 19.9499 + 39.1539i 0.874860 + 1.71701i
\(521\) −16.0123 + 2.53611i −0.701513 + 0.111109i −0.496994 0.867754i \(-0.665563\pi\)
−0.204519 + 0.978863i \(0.565563\pi\)
\(522\) −0.586718 + 3.70439i −0.0256800 + 0.162137i
\(523\) 2.29692 1.66881i 0.100437 0.0729721i −0.536433 0.843943i \(-0.680229\pi\)
0.636870 + 0.770971i \(0.280229\pi\)
\(524\) 39.7776i 1.73769i
\(525\) −9.49621 13.0704i −0.414449 0.570440i
\(526\) 5.07791 + 2.58732i 0.221407 + 0.112813i
\(527\) −5.61278 + 2.85985i −0.244497 + 0.124577i
\(528\) −1.63513 + 2.25057i −0.0711600 + 0.0979433i
\(529\) 17.1786 + 12.4810i 0.746897 + 0.542652i
\(530\) −26.5288 + 26.5288i −1.15234 + 1.15234i
\(531\) −16.3457 5.31105i −0.709344 0.230480i
\(532\) 51.8155 2.24649
\(533\) −15.8318 + 15.4799i −0.685752 + 0.670511i
\(534\) 1.91235 0.0827555
\(535\) 18.8434 + 6.12258i 0.814670 + 0.264702i
\(536\) 17.4806 17.4806i 0.755048 0.755048i
\(537\) −3.81703 2.77323i −0.164717 0.119674i
\(538\) 23.9851 33.0126i 1.03407 1.42328i
\(539\) −0.900417 + 0.458785i −0.0387837 + 0.0197613i
\(540\) 9.26108 + 4.71876i 0.398534 + 0.203063i
\(541\) 15.1869 + 20.9030i 0.652938 + 0.898691i 0.999222 0.0394382i \(-0.0125568\pi\)
−0.346284 + 0.938130i \(0.612557\pi\)
\(542\) 51.1173i 2.19567i
\(543\) 31.0837 22.5836i 1.33393 0.969157i
\(544\) −1.24544 + 7.86343i −0.0533980 + 0.337142i
\(545\) 23.2540 3.68307i 0.996091 0.157765i
\(546\) −18.8305 36.9569i −0.805870 1.58161i
\(547\) −31.0360 31.0360i −1.32700 1.32700i −0.907971 0.419032i \(-0.862369\pi\)
−0.419032 0.907971i \(-0.637631\pi\)
\(548\) 2.30090 + 14.5273i 0.0982894 + 0.620575i
\(549\) −5.13851 15.8147i −0.219306 0.674955i
\(550\) 3.02081 + 0.478450i 0.128808 + 0.0204012i
\(551\) −1.18890 + 3.65905i −0.0506488 + 0.155881i
\(552\) 6.31611 12.3961i 0.268832 0.527612i
\(553\) −11.9441 + 3.88089i −0.507917 + 0.165032i
\(554\) 26.1842 8.50775i 1.11246 0.361460i
\(555\) −7.93324 + 15.5699i −0.336747 + 0.660904i
\(556\) −8.03318 + 24.7236i −0.340683 + 1.04851i
\(557\) 36.1001 + 5.71769i 1.52961 + 0.242266i 0.863792 0.503849i \(-0.168083\pi\)
0.665817 + 0.746115i \(0.268083\pi\)
\(558\) −2.39092 7.35850i −0.101216 0.311510i
\(559\) 5.36199 + 33.8543i 0.226788 + 1.43188i
\(560\) 12.8700 + 12.8700i 0.543856 + 0.543856i
\(561\) 2.13942 + 4.19886i 0.0903265 + 0.177276i
\(562\) −64.5087 + 10.2172i −2.72114 + 0.430986i
\(563\) 1.70284 10.7513i 0.0717661 0.453113i −0.925470 0.378820i \(-0.876330\pi\)
0.997236 0.0742931i \(-0.0236700\pi\)
\(564\) 16.2378 11.7974i 0.683734 0.496762i
\(565\) 10.3822i 0.436784i
\(566\) 15.9260 + 21.9203i 0.669421 + 0.921379i
\(567\) −18.7703 9.56394i −0.788278 0.401648i
\(568\) 27.5999 14.0629i 1.15807 0.590065i
\(569\) 6.39245 8.79845i 0.267985 0.368850i −0.653723 0.756734i \(-0.726794\pi\)
0.921708 + 0.387884i \(0.126794\pi\)
\(570\) −85.5850 62.1811i −3.58476 2.60448i
\(571\) −3.44644 + 3.44644i −0.144229 + 0.144229i −0.775534 0.631305i \(-0.782519\pi\)
0.631305 + 0.775534i \(0.282519\pi\)
\(572\) 4.90672 + 1.59429i 0.205160 + 0.0666606i
\(573\) −13.0921 −0.546931
\(574\) −15.0570 + 28.7478i −0.628468 + 1.19991i
\(575\) −4.32262 −0.180266
\(576\) −24.2356 7.87462i −1.00982 0.328109i
\(577\) −27.6070 + 27.6070i −1.14930 + 1.14930i −0.162605 + 0.986691i \(0.551989\pi\)
−0.986691 + 0.162605i \(0.948011\pi\)
\(578\) −17.8814 12.9916i −0.743767 0.540379i
\(579\) 11.7032 16.1081i 0.486370 0.669430i
\(580\) −5.85640 + 2.98399i −0.243174 + 0.123903i
\(581\) −28.8409 14.6952i −1.19652 0.609658i
\(582\) 48.4453 + 66.6793i 2.00812 + 2.76395i
\(583\) 2.10569i 0.0872088i
\(584\) −51.8856 + 37.6971i −2.14704 + 1.55992i
\(585\) −4.04205 + 25.5205i −0.167118 + 1.05514i
\(586\) −51.7063 + 8.18947i −2.13597 + 0.338304i
\(587\) −2.56196 5.02813i −0.105743 0.207533i 0.832072 0.554668i \(-0.187155\pi\)
−0.937815 + 0.347135i \(0.887155\pi\)
\(588\) 16.6426 + 16.6426i 0.686327 + 0.686327i
\(589\) −1.24160 7.83913i −0.0511591 0.323006i
\(590\) −14.1656 43.5972i −0.583188 1.79487i
\(591\) 61.2788 + 9.70561i 2.52067 + 0.399236i
\(592\) 2.39771 7.37938i 0.0985451 0.303291i
\(593\) 2.04888 4.02116i 0.0841376 0.165129i −0.845104 0.534602i \(-0.820462\pi\)
0.929242 + 0.369473i \(0.120462\pi\)
\(594\) 0.844403 0.274363i 0.0346463 0.0112573i
\(595\) 29.3235 9.52777i 1.20214 0.390601i
\(596\) 22.1920 43.5543i 0.909022 1.78406i
\(597\) −8.26394 + 25.4338i −0.338221 + 1.04094i
\(598\) −10.9610 1.73605i −0.448228 0.0709924i
\(599\) 9.38078 + 28.8711i 0.383288 + 1.17964i 0.937715 + 0.347407i \(0.112938\pi\)
−0.554426 + 0.832233i \(0.687062\pi\)
\(600\) −5.32695 33.6330i −0.217472 1.37306i
\(601\) 10.5900 + 10.5900i 0.431977 + 0.431977i 0.889300 0.457324i \(-0.151192\pi\)
−0.457324 + 0.889300i \(0.651192\pi\)
\(602\) 22.8069 + 44.7610i 0.929539 + 1.82432i
\(603\) 14.3571 2.27395i 0.584668 0.0926023i
\(604\) −1.61076 + 10.1699i −0.0655410 + 0.413809i
\(605\) −25.2128 + 18.3182i −1.02505 + 0.744740i
\(606\) 65.5848i 2.66420i
\(607\) 11.3274 + 15.5908i 0.459764 + 0.632811i 0.974460 0.224562i \(-0.0720950\pi\)
−0.514696 + 0.857373i \(0.672095\pi\)
\(608\) −8.93766 4.55397i −0.362470 0.184688i
\(609\) 2.64254 1.34644i 0.107081 0.0545606i
\(610\) 26.0692 35.8812i 1.05551 1.45279i
\(611\) −6.19188 4.49867i −0.250497 0.181997i
\(612\) 36.0399 36.0399i 1.45683 1.45683i
\(613\) 11.6005 + 3.76925i 0.468542 + 0.152238i 0.533766 0.845632i \(-0.320776\pi\)
−0.0652243 + 0.997871i \(0.520776\pi\)
\(614\) 41.7880 1.68643
\(615\) 39.0083 19.3267i 1.57297 0.779327i
\(616\) 3.61477 0.145643
\(617\) −20.3958 6.62699i −0.821104 0.266793i −0.131810 0.991275i \(-0.542079\pi\)
−0.689293 + 0.724482i \(0.742079\pi\)
\(618\) −52.8502 + 52.8502i −2.12595 + 2.12595i
\(619\) −36.9222 26.8256i −1.48403 1.07821i −0.976230 0.216735i \(-0.930459\pi\)
−0.507799 0.861476i \(-0.669541\pi\)
\(620\) 7.96993 10.9697i 0.320080 0.440553i
\(621\) −1.11807 + 0.569683i −0.0448665 + 0.0228606i
\(622\) 26.0150 + 13.2553i 1.04311 + 0.531490i
\(623\) −0.412769 0.568127i −0.0165372 0.0227615i
\(624\) 24.7060i 0.989032i
\(625\) 24.8234 18.0353i 0.992937 0.721411i
\(626\) −8.18966 + 51.7075i −0.327325 + 2.06665i
\(627\) −5.86437 + 0.928824i −0.234200 + 0.0370937i
\(628\) 18.0672 + 35.4589i 0.720961 + 1.41497i
\(629\) −9.29426 9.29426i −0.370586 0.370586i
\(630\) 5.92417 + 37.4037i 0.236025 + 1.49020i
\(631\) 8.35237 + 25.7059i 0.332502 + 1.02334i 0.967939 + 0.251184i \(0.0808200\pi\)
−0.635437 + 0.772153i \(0.719180\pi\)
\(632\) −26.1447 4.14091i −1.03998 0.164716i
\(633\) 3.88965 11.9711i 0.154600 0.475809i
\(634\) 21.6887 42.5665i 0.861369 1.69053i
\(635\) −27.9563 + 9.08354i −1.10941 + 0.360469i
\(636\) 46.6416 15.1548i 1.84946 0.600926i
\(637\) 4.07454 7.99673i 0.161439 0.316842i
\(638\) −0.173498 + 0.533973i −0.00686886 + 0.0211402i
\(639\) 17.9897 + 2.84928i 0.711660 + 0.112716i
\(640\) −18.2391 56.1341i −0.720962 2.21889i
\(641\) 2.19761 + 13.8752i 0.0868005 + 0.548037i 0.992317 + 0.123725i \(0.0394840\pi\)
−0.905516 + 0.424312i \(0.860516\pi\)
\(642\) −27.8723 27.8723i −1.10003 1.10003i
\(643\) 9.30874 + 18.2694i 0.367101 + 0.720476i 0.998487 0.0549930i \(-0.0175137\pi\)
−0.631386 + 0.775469i \(0.717514\pi\)
\(644\) −10.5554 + 1.67181i −0.415940 + 0.0658784i
\(645\) 10.5422 66.5607i 0.415098 2.62082i
\(646\) 64.3759 46.7718i 2.53283 1.84021i
\(647\) 15.8806i 0.624333i 0.950027 + 0.312166i \(0.101055\pi\)
−0.950027 + 0.312166i \(0.898945\pi\)
\(648\) −26.0989 35.9221i −1.02526 1.41115i
\(649\) −2.29242 1.16805i −0.0899854 0.0458498i
\(650\) −24.2021 + 12.3316i −0.949285 + 0.483685i
\(651\) −3.59621 + 4.94976i −0.140947 + 0.193997i
\(652\) 10.8084 + 7.85277i 0.423290 + 0.307538i
\(653\) 22.9902 22.9902i 0.899676 0.899676i −0.0957311 0.995407i \(-0.530519\pi\)
0.995407 + 0.0957311i \(0.0305189\pi\)
\(654\) −44.5470 14.4742i −1.74193 0.565986i
\(655\) −29.8222 −1.16525
\(656\) −15.7650 + 11.1855i −0.615521 + 0.436720i
\(657\) −37.7108 −1.47124
\(658\) −10.6683 3.46635i −0.415895 0.135133i
\(659\) 1.46743 1.46743i 0.0571629 0.0571629i −0.677947 0.735110i \(-0.737130\pi\)
0.735110 + 0.677947i \(0.237130\pi\)
\(660\) −8.20628 5.96221i −0.319429 0.232079i
\(661\) −18.2310 + 25.0928i −0.709103 + 0.975997i 0.290713 + 0.956810i \(0.406108\pi\)
−0.999816 + 0.0191863i \(0.993892\pi\)
\(662\) −62.0618 + 31.6221i −2.41210 + 1.22903i
\(663\) −37.2906 19.0005i −1.44825 0.737919i
\(664\) −40.1015 55.1950i −1.55624 2.14198i
\(665\) 38.8472i 1.50643i
\(666\) 13.0609 9.48931i 0.506100 0.367703i
\(667\) 0.124133 0.783747i 0.00480646 0.0303468i
\(668\) 73.9934 11.7194i 2.86289 0.453437i
\(669\) 7.53425 + 14.7868i 0.291291 + 0.571691i
\(670\) 27.4149 + 27.4149i 1.05913 + 1.05913i
\(671\) −0.389406 2.45861i −0.0150329 0.0949137i
\(672\) 2.38948 + 7.35407i 0.0921763 + 0.283690i
\(673\) −1.93008 0.305695i −0.0743992 0.0117837i 0.119124 0.992879i \(-0.461991\pi\)
−0.193523 + 0.981096i \(0.561991\pi\)
\(674\) 17.4896 53.8274i 0.673673 2.07335i
\(675\) −1.39436 + 2.73659i −0.0536691 + 0.105332i
\(676\) 3.79755 1.23390i 0.146060 0.0474576i
\(677\) 17.1066 5.55828i 0.657461 0.213622i 0.0387601 0.999249i \(-0.487659\pi\)
0.618701 + 0.785626i \(0.287659\pi\)
\(678\) −9.37718 + 18.4038i −0.360129 + 0.706792i
\(679\) 9.35267 28.7846i 0.358923 1.10465i
\(680\) 64.1864 + 10.1661i 2.46144 + 0.389853i
\(681\) −14.8285 45.6373i −0.568228 1.74883i
\(682\) −0.181189 1.14398i −0.00693807 0.0438053i
\(683\) −11.2813 11.2813i −0.431666 0.431666i 0.457529 0.889195i \(-0.348735\pi\)
−0.889195 + 0.457529i \(0.848735\pi\)
\(684\) 29.1539 + 57.2178i 1.11473 + 2.18778i
\(685\) −10.8914 + 1.72503i −0.416140 + 0.0659101i
\(686\) 7.60761 48.0326i 0.290460 1.83389i
\(687\) −0.644061 + 0.467937i −0.0245724 + 0.0178529i
\(688\) 29.9231i 1.14081i
\(689\) −10.9921 15.1294i −0.418767 0.576383i
\(690\) 19.4408 + 9.90559i 0.740099 + 0.377099i
\(691\) 39.1797 19.9630i 1.49046 0.759430i 0.496387 0.868102i \(-0.334660\pi\)
0.994078 + 0.108672i \(0.0346598\pi\)
\(692\) 27.2231 37.4694i 1.03487 1.42437i
\(693\) 1.71955 + 1.24932i 0.0653202 + 0.0474579i
\(694\) −22.9353 + 22.9353i −0.870613 + 0.870613i
\(695\) −18.5358 6.02265i −0.703104 0.228452i
\(696\) 6.25108 0.236947
\(697\) 4.75874 + 32.3977i 0.180250 + 1.22715i
\(698\) 26.8947 1.01798
\(699\) −29.1738 9.47913i −1.10345 0.358534i
\(700\) −18.4961 + 18.4961i −0.699089 + 0.699089i
\(701\) −2.76681 2.01021i −0.104501 0.0759245i 0.534308 0.845290i \(-0.320572\pi\)
−0.638809 + 0.769366i \(0.720572\pi\)
\(702\) −4.63480 + 6.37926i −0.174929 + 0.240769i
\(703\) 14.7558 7.51844i 0.556524 0.283563i
\(704\) −3.39894 1.73185i −0.128102 0.0652714i
\(705\) 8.84479 + 12.1738i 0.333114 + 0.458492i
\(706\) 33.9182i 1.27653i
\(707\) 19.4841 14.1561i 0.732776 0.532393i
\(708\) −9.37385 + 59.1842i −0.352291 + 2.22428i
\(709\) −4.54201 + 0.719383i −0.170579 + 0.0270170i −0.241139 0.970490i \(-0.577521\pi\)
0.0705608 + 0.997507i \(0.477521\pi\)
\(710\) 22.0549 + 43.2851i 0.827704 + 1.62446i
\(711\) −11.0059 11.0059i −0.412752 0.412752i
\(712\) −0.231545 1.46191i −0.00867750 0.0547876i
\(713\) 0.505853 + 1.55686i 0.0189443 + 0.0583047i
\(714\) −60.5848 9.59570i −2.26733 0.359110i
\(715\) −1.19527 + 3.67868i −0.0447007 + 0.137575i
\(716\) −3.46800 + 6.80632i −0.129605 + 0.254364i
\(717\) 26.7196 8.68173i 0.997862 0.324225i
\(718\) −65.9294 + 21.4218i −2.46046 + 0.799453i
\(719\) −4.48920 + 8.81056i −0.167419 + 0.328578i −0.959439 0.281917i \(-0.909030\pi\)
0.792020 + 0.610496i \(0.209030\pi\)
\(720\) −6.97052 + 21.4531i −0.259776 + 0.799509i
\(721\) 27.1083 + 4.29353i 1.00957 + 0.159899i
\(722\) 16.8026 + 51.7130i 0.625327 + 1.92456i
\(723\) 10.0736 + 63.6020i 0.374640 + 2.36538i
\(724\) −43.9870 43.9870i −1.63477 1.63477i
\(725\) −0.881750 1.73053i −0.0327474 0.0642703i
\(726\) 61.2377 9.69909i 2.27274 0.359967i
\(727\) −1.74917 + 11.0438i −0.0648730 + 0.409592i 0.933787 + 0.357831i \(0.116483\pi\)
−0.998659 + 0.0517612i \(0.983517\pi\)
\(728\) −25.9721 + 18.8698i −0.962589 + 0.699362i
\(729\) 19.4043i 0.718678i
\(730\) −59.1205 81.3724i −2.18815 3.01173i
\(731\) 45.1652 + 23.0128i 1.67050 + 0.851160i
\(732\) −51.6563 + 26.3202i −1.90927 + 0.972823i
\(733\) −17.4839 + 24.0645i −0.645783 + 0.888844i −0.998907 0.0467321i \(-0.985119\pi\)
0.353124 + 0.935576i \(0.385119\pi\)
\(734\) 43.4044 + 31.5351i 1.60209 + 1.16398i
\(735\) −12.4773 + 12.4773i −0.460232 + 0.460232i
\(736\) 1.96763 + 0.639321i 0.0725277 + 0.0235657i
\(737\) 2.17602 0.0801549
\(738\) −40.2168 0.451945i −1.48040 0.0166363i
\(739\) 17.1524 0.630961 0.315481 0.948932i \(-0.397834\pi\)
0.315481 + 0.948932i \(0.397834\pi\)
\(740\) 26.9076 + 8.74281i 0.989143 + 0.321392i
\(741\) 37.2868 37.2868i 1.36976 1.36976i
\(742\) −22.1741 16.1104i −0.814037 0.591433i
\(743\) 28.5351 39.2752i 1.04685 1.44087i 0.155343 0.987861i \(-0.450352\pi\)
0.891508 0.453006i \(-0.149648\pi\)
\(744\) −11.4900 + 5.85447i −0.421246 + 0.214635i
\(745\) 32.6536 + 16.6379i 1.19634 + 0.609564i
\(746\) −24.5721 33.8206i −0.899649 1.23826i
\(747\) 40.1160i 1.46777i
\(748\) 6.17266 4.48470i 0.225695 0.163977i
\(749\) −2.26433 + 14.2964i −0.0827369 + 0.522380i
\(750\) −28.3346 + 4.48776i −1.03463 + 0.163870i
\(751\) −5.55343 10.8992i −0.202647 0.397718i 0.767208 0.641398i \(-0.221645\pi\)
−0.969856 + 0.243680i \(0.921645\pi\)
\(752\) −4.72458 4.72458i −0.172288 0.172288i
\(753\) −0.501657 3.16734i −0.0182814 0.115424i
\(754\) −1.54086 4.74229i −0.0561149 0.172704i
\(755\) −7.62463 1.20762i −0.277489 0.0439499i
\(756\) −2.34649 + 7.22175i −0.0853410 + 0.262653i
\(757\) 16.8826 33.1340i 0.613609 1.20427i −0.349948 0.936769i \(-0.613801\pi\)
0.963556 0.267505i \(-0.0861993\pi\)
\(758\) 6.07287 1.97320i 0.220577 0.0716697i
\(759\) 1.16467 0.378423i 0.0422747 0.0137359i
\(760\) −37.1724 + 72.9550i −1.34839 + 2.64636i
\(761\) −2.87532 + 8.84933i −0.104230 + 0.320788i −0.989549 0.144197i \(-0.953940\pi\)
0.885319 + 0.464985i \(0.153940\pi\)
\(762\) 57.7601 + 9.14830i 2.09243 + 0.331408i
\(763\) 5.31514 + 16.3583i 0.192421 + 0.592211i
\(764\) 3.31594 + 20.9360i 0.119966 + 0.757438i