Properties

Label 546.2.bn.e.101.15
Level $546$
Weight $2$
Character 546.101
Analytic conductor $4.360$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bn (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(34\)
Relative dimension: \(17\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 101.15
Character \(\chi\) \(=\) 546.101
Dual form 546.2.bn.e.173.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 + 0.866025i) q^{2} +(1.60671 - 0.646913i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-2.60318 + 1.50295i) q^{5} +(-0.243110 + 1.71490i) q^{6} +(-0.916975 - 2.48177i) q^{7} +1.00000 q^{8} +(2.16301 - 2.07880i) q^{9} +O(q^{10})\) \(q+(-0.500000 + 0.866025i) q^{2} +(1.60671 - 0.646913i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-2.60318 + 1.50295i) q^{5} +(-0.243110 + 1.71490i) q^{6} +(-0.916975 - 2.48177i) q^{7} +1.00000 q^{8} +(2.16301 - 2.07880i) q^{9} -3.00590i q^{10} -4.03218 q^{11} +(-1.36360 - 1.06799i) q^{12} +(-0.138085 - 3.60291i) q^{13} +(2.60776 + 0.446759i) q^{14} +(-3.21027 + 4.09883i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-1.67166 - 2.89540i) q^{17} +(0.718787 + 2.91262i) q^{18} -5.13758 q^{19} +(2.60318 + 1.50295i) q^{20} +(-3.07879 - 3.39426i) q^{21} +(2.01609 - 3.49197i) q^{22} +(2.14877 + 1.24059i) q^{23} +(1.60671 - 0.646913i) q^{24} +(2.01770 - 3.49476i) q^{25} +(3.18925 + 1.68187i) q^{26} +(2.13052 - 4.73929i) q^{27} +(-1.69078 + 2.03501i) q^{28} +(3.74921 - 2.16461i) q^{29} +(-1.94455 - 4.82959i) q^{30} +(2.95768 - 5.12285i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(-6.47852 + 2.60847i) q^{33} +3.34332 q^{34} +(6.11701 + 5.08232i) q^{35} +(-2.88179 - 0.833822i) q^{36} +(-2.22571 - 1.28501i) q^{37} +(2.56879 - 4.44927i) q^{38} +(-2.55263 - 5.69948i) q^{39} +(-2.60318 + 1.50295i) q^{40} +(-6.29653 + 3.63530i) q^{41} +(4.47892 - 0.969182i) q^{42} +(-2.23692 + 3.87445i) q^{43} +(2.01609 + 3.49197i) q^{44} +(-2.50638 + 8.66237i) q^{45} +(-2.14877 + 1.24059i) q^{46} +(5.77285 - 3.33296i) q^{47} +(-0.243110 + 1.71490i) q^{48} +(-5.31832 + 4.55143i) q^{49} +(2.01770 + 3.49476i) q^{50} +(-4.55894 - 3.57064i) q^{51} +(-3.05117 + 1.92104i) q^{52} +(-8.50304 - 4.90923i) q^{53} +(3.03909 + 4.21473i) q^{54} +(10.4965 - 6.06015i) q^{55} +(-0.916975 - 2.48177i) q^{56} +(-8.25457 + 3.32356i) q^{57} +4.32922i q^{58} +(2.75459 - 1.59037i) q^{59} +(5.15482 + 0.730764i) q^{60} +6.66557i q^{61} +(2.95768 + 5.12285i) q^{62} +(-7.14251 - 3.46187i) q^{63} +1.00000 q^{64} +(5.77444 + 9.17149i) q^{65} +(0.980263 - 6.91480i) q^{66} -8.14055i q^{67} +(-1.67166 + 2.89540i) q^{68} +(4.25500 + 0.603202i) q^{69} +(-7.45993 + 2.75633i) q^{70} +(0.436496 - 0.756034i) q^{71} +(2.16301 - 2.07880i) q^{72} +(6.78690 - 11.7553i) q^{73} +(2.22571 - 1.28501i) q^{74} +(0.981048 - 6.92034i) q^{75} +(2.56879 + 4.44927i) q^{76} +(3.69740 + 10.0069i) q^{77} +(6.21221 + 0.639101i) q^{78} +(8.50477 + 14.7307i) q^{79} -3.00590i q^{80} +(0.357208 - 8.99291i) q^{81} -7.27060i q^{82} +12.6597i q^{83} +(-1.40012 + 4.36345i) q^{84} +(8.70327 + 5.02484i) q^{85} +(-2.23692 - 3.87445i) q^{86} +(4.62357 - 5.90330i) q^{87} -4.03218 q^{88} +(-3.15127 - 1.81939i) q^{89} +(-6.24865 - 6.50178i) q^{90} +(-8.81495 + 3.64647i) q^{91} -2.48119i q^{92} +(1.43808 - 10.1443i) q^{93} +6.66591i q^{94} +(13.3740 - 7.72151i) q^{95} +(-1.36360 - 1.06799i) q^{96} +(-1.10676 + 1.91696i) q^{97} +(-1.28250 - 6.88151i) q^{98} +(-8.72163 + 8.38208i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 17q^{2} + 3q^{3} - 17q^{4} + 9q^{5} - 6q^{6} + 5q^{7} + 34q^{8} + 7q^{9} + O(q^{10}) \) \( 34q - 17q^{2} + 3q^{3} - 17q^{4} + 9q^{5} - 6q^{6} + 5q^{7} + 34q^{8} + 7q^{9} - 18q^{11} + 3q^{12} - 8q^{13} - 4q^{14} - 17q^{15} - 17q^{16} + 6q^{17} - 11q^{18} - 10q^{19} - 9q^{20} - 4q^{21} + 9q^{22} + 6q^{23} + 3q^{24} + 16q^{25} + 13q^{26} + 18q^{27} - q^{28} + 27q^{29} + 13q^{30} + q^{31} - 17q^{32} + 21q^{33} - 12q^{34} - 3q^{35} + 4q^{36} + 6q^{37} + 5q^{38} + 20q^{39} + 9q^{40} + 3q^{41} + 20q^{42} - 3q^{43} + 9q^{44} - 6q^{46} - 27q^{47} - 6q^{48} - 5q^{49} + 16q^{50} + 24q^{51} - 5q^{52} + 21q^{53} - 18q^{54} + 57q^{55} + 5q^{56} - 17q^{57} - 6q^{59} + 4q^{60} + q^{62} - 21q^{63} + 34q^{64} + 33q^{65} - 21q^{66} + 6q^{68} - 30q^{69} + 3q^{70} - 15q^{71} + 7q^{72} + 19q^{73} - 6q^{74} - 63q^{75} + 5q^{76} - 9q^{77} - 10q^{78} - 9q^{79} - 5q^{81} - 16q^{84} - 42q^{85} - 3q^{86} - 75q^{87} - 18q^{88} - 18q^{89} - 9q^{90} - 27q^{91} + 25q^{93} - 3q^{95} + 3q^{96} - 19q^{97} + 7q^{98} - 27q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 + 0.866025i −0.353553 + 0.612372i
\(3\) 1.60671 0.646913i 0.927632 0.373495i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) −2.60318 + 1.50295i −1.16418 + 0.672139i −0.952302 0.305158i \(-0.901291\pi\)
−0.211876 + 0.977296i \(0.567957\pi\)
\(6\) −0.243110 + 1.71490i −0.0992493 + 0.700107i
\(7\) −0.916975 2.48177i −0.346584 0.938019i
\(8\) 1.00000 0.353553
\(9\) 2.16301 2.07880i 0.721003 0.692932i
\(10\) 3.00590i 0.950548i
\(11\) −4.03218 −1.21575 −0.607873 0.794034i \(-0.707977\pi\)
−0.607873 + 0.794034i \(0.707977\pi\)
\(12\) −1.36360 1.06799i −0.393636 0.308303i
\(13\) −0.138085 3.60291i −0.0382978 0.999266i
\(14\) 2.60776 + 0.446759i 0.696953 + 0.119401i
\(15\) −3.21027 + 4.09883i −0.828889 + 1.05831i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −1.67166 2.89540i −0.405437 0.702238i 0.588935 0.808180i \(-0.299547\pi\)
−0.994372 + 0.105943i \(0.966214\pi\)
\(18\) 0.718787 + 2.91262i 0.169420 + 0.686511i
\(19\) −5.13758 −1.17864 −0.589320 0.807899i \(-0.700604\pi\)
−0.589320 + 0.807899i \(0.700604\pi\)
\(20\) 2.60318 + 1.50295i 0.582089 + 0.336069i
\(21\) −3.07879 3.39426i −0.671848 0.740689i
\(22\) 2.01609 3.49197i 0.429831 0.744490i
\(23\) 2.14877 + 1.24059i 0.448050 + 0.258682i 0.707006 0.707207i \(-0.250045\pi\)
−0.258956 + 0.965889i \(0.583379\pi\)
\(24\) 1.60671 0.646913i 0.327967 0.132050i
\(25\) 2.01770 3.49476i 0.403541 0.698953i
\(26\) 3.18925 + 1.68187i 0.625463 + 0.329842i
\(27\) 2.13052 4.73929i 0.410018 0.912077i
\(28\) −1.69078 + 2.03501i −0.319528 + 0.384580i
\(29\) 3.74921 2.16461i 0.696211 0.401958i −0.109724 0.993962i \(-0.534997\pi\)
0.805935 + 0.592005i \(0.201663\pi\)
\(30\) −1.94455 4.82959i −0.355025 0.881758i
\(31\) 2.95768 5.12285i 0.531215 0.920091i −0.468121 0.883664i \(-0.655069\pi\)
0.999336 0.0364270i \(-0.0115977\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) −6.47852 + 2.60847i −1.12777 + 0.454076i
\(34\) 3.34332 0.573375
\(35\) 6.11701 + 5.08232i 1.03396 + 0.859069i
\(36\) −2.88179 0.833822i −0.480299 0.138970i
\(37\) −2.22571 1.28501i −0.365904 0.211255i 0.305764 0.952107i \(-0.401088\pi\)
−0.671667 + 0.740853i \(0.734422\pi\)
\(38\) 2.56879 4.44927i 0.416712 0.721767i
\(39\) −2.55263 5.69948i −0.408747 0.912648i
\(40\) −2.60318 + 1.50295i −0.411599 + 0.237637i
\(41\) −6.29653 + 3.63530i −0.983352 + 0.567739i −0.903281 0.429050i \(-0.858848\pi\)
−0.0800717 + 0.996789i \(0.525515\pi\)
\(42\) 4.47892 0.969182i 0.691112 0.149548i
\(43\) −2.23692 + 3.87445i −0.341127 + 0.590849i −0.984642 0.174584i \(-0.944142\pi\)
0.643516 + 0.765433i \(0.277475\pi\)
\(44\) 2.01609 + 3.49197i 0.303937 + 0.526434i
\(45\) −2.50638 + 8.66237i −0.373629 + 1.29131i
\(46\) −2.14877 + 1.24059i −0.316819 + 0.182916i
\(47\) 5.77285 3.33296i 0.842057 0.486162i −0.0159060 0.999873i \(-0.505063\pi\)
0.857963 + 0.513712i \(0.171730\pi\)
\(48\) −0.243110 + 1.71490i −0.0350899 + 0.247525i
\(49\) −5.31832 + 4.55143i −0.759759 + 0.650204i
\(50\) 2.01770 + 3.49476i 0.285346 + 0.494234i
\(51\) −4.55894 3.57064i −0.638379 0.499990i
\(52\) −3.05117 + 1.92104i −0.423121 + 0.266400i
\(53\) −8.50304 4.90923i −1.16798 0.674335i −0.214779 0.976663i \(-0.568903\pi\)
−0.953204 + 0.302327i \(0.902236\pi\)
\(54\) 3.03909 + 4.21473i 0.413568 + 0.573552i
\(55\) 10.4965 6.06015i 1.41535 0.817150i
\(56\) −0.916975 2.48177i −0.122536 0.331640i
\(57\) −8.25457 + 3.32356i −1.09335 + 0.440217i
\(58\) 4.32922i 0.568454i
\(59\) 2.75459 1.59037i 0.358618 0.207048i −0.309857 0.950783i \(-0.600281\pi\)
0.668474 + 0.743735i \(0.266948\pi\)
\(60\) 5.15482 + 0.730764i 0.665485 + 0.0943412i
\(61\) 6.66557i 0.853438i 0.904384 + 0.426719i \(0.140331\pi\)
−0.904384 + 0.426719i \(0.859669\pi\)
\(62\) 2.95768 + 5.12285i 0.375626 + 0.650603i
\(63\) −7.14251 3.46187i −0.899872 0.436155i
\(64\) 1.00000 0.125000
\(65\) 5.77444 + 9.17149i 0.716231 + 1.13758i
\(66\) 0.980263 6.91480i 0.120662 0.851153i
\(67\) 8.14055i 0.994527i −0.867600 0.497264i \(-0.834338\pi\)
0.867600 0.497264i \(-0.165662\pi\)
\(68\) −1.67166 + 2.89540i −0.202719 + 0.351119i
\(69\) 4.25500 + 0.603202i 0.512242 + 0.0726170i
\(70\) −7.45993 + 2.75633i −0.891632 + 0.329444i
\(71\) 0.436496 0.756034i 0.0518026 0.0897247i −0.838961 0.544191i \(-0.816837\pi\)
0.890764 + 0.454466i \(0.150170\pi\)
\(72\) 2.16301 2.07880i 0.254913 0.244989i
\(73\) 6.78690 11.7553i 0.794347 1.37585i −0.128906 0.991657i \(-0.541147\pi\)
0.923253 0.384192i \(-0.125520\pi\)
\(74\) 2.22571 1.28501i 0.258733 0.149380i
\(75\) 0.981048 6.92034i 0.113282 0.799092i
\(76\) 2.56879 + 4.44927i 0.294660 + 0.510366i
\(77\) 3.69740 + 10.0069i 0.421358 + 1.14039i
\(78\) 6.21221 + 0.639101i 0.703394 + 0.0723640i
\(79\) 8.50477 + 14.7307i 0.956862 + 1.65733i 0.730049 + 0.683395i \(0.239497\pi\)
0.226813 + 0.973938i \(0.427169\pi\)
\(80\) 3.00590i 0.336069i
\(81\) 0.357208 8.99291i 0.0396897 0.999212i
\(82\) 7.27060i 0.802904i
\(83\) 12.6597i 1.38958i 0.719211 + 0.694792i \(0.244504\pi\)
−0.719211 + 0.694792i \(0.755496\pi\)
\(84\) −1.40012 + 4.36345i −0.152766 + 0.476091i
\(85\) 8.70327 + 5.02484i 0.944002 + 0.545020i
\(86\) −2.23692 3.87445i −0.241213 0.417793i
\(87\) 4.62357 5.90330i 0.495698 0.632900i
\(88\) −4.03218 −0.429831
\(89\) −3.15127 1.81939i −0.334034 0.192855i 0.323597 0.946195i \(-0.395108\pi\)
−0.657631 + 0.753341i \(0.728441\pi\)
\(90\) −6.24865 6.50178i −0.658665 0.685347i
\(91\) −8.81495 + 3.64647i −0.924057 + 0.382254i
\(92\) 2.48119i 0.258682i
\(93\) 1.43808 10.1443i 0.149122 1.05191i
\(94\) 6.66591i 0.687537i
\(95\) 13.3740 7.72151i 1.37215 0.792210i
\(96\) −1.36360 1.06799i −0.139171 0.109001i
\(97\) −1.10676 + 1.91696i −0.112374 + 0.194638i −0.916727 0.399514i \(-0.869179\pi\)
0.804353 + 0.594152i \(0.202512\pi\)
\(98\) −1.28250 6.88151i −0.129552 0.695138i
\(99\) −8.72163 + 8.38208i −0.876557 + 0.842430i
\(100\) −4.03541 −0.403541
\(101\) −13.0632 −1.29983 −0.649917 0.760005i \(-0.725196\pi\)
−0.649917 + 0.760005i \(0.725196\pi\)
\(102\) 5.37173 2.16284i 0.531881 0.214153i
\(103\) 14.8587 8.57869i 1.46407 0.845283i 0.464878 0.885375i \(-0.346098\pi\)
0.999196 + 0.0400914i \(0.0127649\pi\)
\(104\) −0.138085 3.60291i −0.0135403 0.353294i
\(105\) 13.1161 + 4.20862i 1.28000 + 0.410719i
\(106\) 8.50304 4.90923i 0.825889 0.476827i
\(107\) −1.75243 1.01176i −0.169413 0.0978109i 0.412896 0.910778i \(-0.364517\pi\)
−0.582309 + 0.812967i \(0.697851\pi\)
\(108\) −5.16961 + 0.524564i −0.497446 + 0.0504762i
\(109\) 11.9872 + 6.92083i 1.14817 + 0.662895i 0.948440 0.316956i \(-0.102661\pi\)
0.199728 + 0.979851i \(0.435994\pi\)
\(110\) 12.1203i 1.15563i
\(111\) −4.40734 0.624799i −0.418327 0.0593033i
\(112\) 2.60776 + 0.446759i 0.246410 + 0.0422148i
\(113\) −12.1559 7.01820i −1.14353 0.660217i −0.196227 0.980559i \(-0.562869\pi\)
−0.947302 + 0.320342i \(0.896202\pi\)
\(114\) 1.24900 8.81045i 0.116979 0.825174i
\(115\) −7.45819 −0.695480
\(116\) −3.74921 2.16461i −0.348105 0.200979i
\(117\) −7.78839 7.50607i −0.720037 0.693936i
\(118\) 3.18073i 0.292810i
\(119\) −5.65283 + 6.80368i −0.518194 + 0.623692i
\(120\) −3.21027 + 4.09883i −0.293056 + 0.374170i
\(121\) 5.25845 0.478041
\(122\) −5.77255 3.33278i −0.522622 0.301736i
\(123\) −7.76494 + 9.91416i −0.700141 + 0.893930i
\(124\) −5.91536 −0.531215
\(125\) 2.89947i 0.259336i
\(126\) 6.56932 4.45466i 0.585242 0.396852i
\(127\) 8.26677 + 14.3185i 0.733558 + 1.27056i 0.955353 + 0.295466i \(0.0954748\pi\)
−0.221796 + 0.975093i \(0.571192\pi\)
\(128\) −0.500000 + 0.866025i −0.0441942 + 0.0765466i
\(129\) −1.08763 + 7.67220i −0.0957609 + 0.675499i
\(130\) −10.8300 + 0.415068i −0.949850 + 0.0364038i
\(131\) −4.18649 7.25122i −0.365776 0.633542i 0.623125 0.782122i \(-0.285863\pi\)
−0.988900 + 0.148581i \(0.952530\pi\)
\(132\) 5.49826 + 4.30633i 0.478562 + 0.374818i
\(133\) 4.71103 + 12.7503i 0.408498 + 1.10559i
\(134\) 7.04993 + 4.07028i 0.609021 + 0.351618i
\(135\) 1.57678 + 15.5393i 0.135708 + 1.33741i
\(136\) −1.67166 2.89540i −0.143344 0.248279i
\(137\) 10.4435 + 18.0886i 0.892244 + 1.54541i 0.837178 + 0.546930i \(0.184204\pi\)
0.0550662 + 0.998483i \(0.482463\pi\)
\(138\) −2.64989 + 3.38334i −0.225573 + 0.288009i
\(139\) −12.4500 7.18799i −1.05599 0.609677i −0.131671 0.991293i \(-0.542034\pi\)
−0.924321 + 0.381616i \(0.875368\pi\)
\(140\) 1.34291 7.83865i 0.113497 0.662487i
\(141\) 7.11914 9.08961i 0.599540 0.765483i
\(142\) 0.436496 + 0.756034i 0.0366300 + 0.0634450i
\(143\) 0.556781 + 14.5276i 0.0465604 + 1.21486i
\(144\) 0.718787 + 2.91262i 0.0598989 + 0.242718i
\(145\) −6.50658 + 11.2697i −0.540342 + 0.935901i
\(146\) 6.78690 + 11.7553i 0.561688 + 0.972872i
\(147\) −5.60059 + 10.7533i −0.461929 + 0.886917i
\(148\) 2.57002i 0.211255i
\(149\) 9.87797 0.809235 0.404618 0.914486i \(-0.367405\pi\)
0.404618 + 0.914486i \(0.367405\pi\)
\(150\) 5.50266 + 4.30978i 0.449291 + 0.351892i
\(151\) 4.74145 + 2.73748i 0.385854 + 0.222773i 0.680362 0.732876i \(-0.261822\pi\)
−0.294508 + 0.955649i \(0.595156\pi\)
\(152\) −5.13758 −0.416712
\(153\) −9.63476 2.78773i −0.778925 0.225375i
\(154\) −10.5149 1.80141i −0.847318 0.145162i
\(155\) 17.7809i 1.42820i
\(156\) −3.65958 + 5.06038i −0.293001 + 0.405155i
\(157\) −7.68837 4.43888i −0.613598 0.354261i 0.160774 0.986991i \(-0.448601\pi\)
−0.774372 + 0.632730i \(0.781934\pi\)
\(158\) −17.0095 −1.35321
\(159\) −16.8377 2.38697i −1.33532 0.189299i
\(160\) 2.60318 + 1.50295i 0.205800 + 0.118818i
\(161\) 1.10849 6.47034i 0.0873615 0.509934i
\(162\) 7.60948 + 4.80581i 0.597857 + 0.377580i
\(163\) 5.48870i 0.429908i 0.976624 + 0.214954i \(0.0689601\pi\)
−0.976624 + 0.214954i \(0.931040\pi\)
\(164\) 6.29653 + 3.63530i 0.491676 + 0.283869i
\(165\) 12.9444 16.5272i 1.00772 1.28664i
\(166\) −10.9636 6.32986i −0.850943 0.491292i
\(167\) −3.01387 + 1.74006i −0.233221 + 0.134650i −0.612057 0.790814i \(-0.709658\pi\)
0.378836 + 0.925464i \(0.376324\pi\)
\(168\) −3.07879 3.39426i −0.237534 0.261873i
\(169\) −12.9619 + 0.995011i −0.997067 + 0.0765393i
\(170\) −8.70327 + 5.02484i −0.667510 + 0.385387i
\(171\) −11.1126 + 10.6800i −0.849803 + 0.816718i
\(172\) 4.47383 0.341127
\(173\) 11.7558 0.893776 0.446888 0.894590i \(-0.352532\pi\)
0.446888 + 0.894590i \(0.352532\pi\)
\(174\) 2.80062 + 6.95578i 0.212315 + 0.527316i
\(175\) −10.5234 1.80285i −0.795492 0.136283i
\(176\) 2.01609 3.49197i 0.151968 0.263217i
\(177\) 3.39700 4.33723i 0.255334 0.326006i
\(178\) 3.15127 1.81939i 0.236198 0.136369i
\(179\) 10.6961i 0.799464i 0.916632 + 0.399732i \(0.130897\pi\)
−0.916632 + 0.399732i \(0.869103\pi\)
\(180\) 8.75503 2.16060i 0.652561 0.161041i
\(181\) 15.8900i 1.18110i −0.807002 0.590549i \(-0.798911\pi\)
0.807002 0.590549i \(-0.201089\pi\)
\(182\) 1.24954 9.45720i 0.0926221 0.701014i
\(183\) 4.31204 + 10.7096i 0.318755 + 0.791677i
\(184\) 2.14877 + 1.24059i 0.158410 + 0.0914578i
\(185\) 7.72522 0.567969
\(186\) 8.06616 + 6.31756i 0.591439 + 0.463226i
\(187\) 6.74043 + 11.6748i 0.492909 + 0.853743i
\(188\) −5.77285 3.33296i −0.421028 0.243081i
\(189\) −13.7154 0.941634i −0.997652 0.0684938i
\(190\) 15.4430i 1.12035i
\(191\) 17.2393i 1.24739i −0.781666 0.623697i \(-0.785630\pi\)
0.781666 0.623697i \(-0.214370\pi\)
\(192\) 1.60671 0.646913i 0.115954 0.0466869i
\(193\) 12.5098i 0.900475i −0.892909 0.450237i \(-0.851339\pi\)
0.892909 0.450237i \(-0.148661\pi\)
\(194\) −1.10676 1.91696i −0.0794606 0.137630i
\(195\) 15.2110 + 11.0003i 1.08928 + 0.787749i
\(196\) 6.60081 + 2.33008i 0.471487 + 0.166434i
\(197\) −5.30659 9.19128i −0.378079 0.654852i 0.612704 0.790313i \(-0.290082\pi\)
−0.990783 + 0.135461i \(0.956748\pi\)
\(198\) −2.89828 11.7442i −0.205971 0.834623i
\(199\) 6.56812 3.79210i 0.465601 0.268815i −0.248795 0.968556i \(-0.580035\pi\)
0.714397 + 0.699741i \(0.246701\pi\)
\(200\) 2.01770 3.49476i 0.142673 0.247117i
\(201\) −5.26623 13.0795i −0.371451 0.922555i
\(202\) 6.53158 11.3130i 0.459560 0.795982i
\(203\) −8.80998 7.31977i −0.618339 0.513747i
\(204\) −0.812795 + 5.73348i −0.0569071 + 0.401424i
\(205\) 10.9273 18.9267i 0.763198 1.32190i
\(206\) 17.1574i 1.19541i
\(207\) 7.22675 1.78345i 0.502294 0.123958i
\(208\) 3.18925 + 1.68187i 0.221135 + 0.116617i
\(209\) 20.7156 1.43293
\(210\) −10.2028 + 9.25453i −0.704060 + 0.638623i
\(211\) 5.81722 + 10.0757i 0.400474 + 0.693641i 0.993783 0.111334i \(-0.0355123\pi\)
−0.593309 + 0.804975i \(0.702179\pi\)
\(212\) 9.81847i 0.674335i
\(213\) 0.212233 1.49710i 0.0145420 0.102580i
\(214\) 1.75243 1.01176i 0.119793 0.0691627i
\(215\) 13.4479i 0.917137i
\(216\) 2.13052 4.73929i 0.144963 0.322468i
\(217\) −15.4258 2.64274i −1.04717 0.179401i
\(218\) −11.9872 + 6.92083i −0.811877 + 0.468738i
\(219\) 3.29993 23.2778i 0.222989 1.57297i
\(220\) −10.4965 6.06015i −0.707673 0.408575i
\(221\) −10.2010 + 6.42265i −0.686195 + 0.432034i
\(222\) 2.74476 3.50447i 0.184216 0.235205i
\(223\) 0.696107 + 1.20569i 0.0466148 + 0.0807391i 0.888391 0.459087i \(-0.151823\pi\)
−0.841777 + 0.539826i \(0.818490\pi\)
\(224\) −1.69078 + 2.03501i −0.112970 + 0.135970i
\(225\) −2.90060 11.7536i −0.193373 0.783573i
\(226\) 12.1559 7.01820i 0.808597 0.466844i
\(227\) 6.27057 3.62031i 0.416192 0.240289i −0.277255 0.960796i \(-0.589425\pi\)
0.693447 + 0.720508i \(0.256091\pi\)
\(228\) 7.00558 + 5.48689i 0.463956 + 0.363378i
\(229\) −12.0113 20.8043i −0.793732 1.37478i −0.923641 0.383258i \(-0.874802\pi\)
0.129909 0.991526i \(-0.458531\pi\)
\(230\) 3.72910 6.45898i 0.245889 0.425893i
\(231\) 12.4142 + 13.6863i 0.816797 + 0.900491i
\(232\) 3.74921 2.16461i 0.246148 0.142113i
\(233\) −3.29311 + 1.90128i −0.215739 + 0.124557i −0.603976 0.797003i \(-0.706418\pi\)
0.388237 + 0.921560i \(0.373084\pi\)
\(234\) 10.3946 2.99191i 0.679519 0.195587i
\(235\) −10.0185 + 17.3526i −0.653536 + 1.13196i
\(236\) −2.75459 1.59037i −0.179309 0.103524i
\(237\) 23.1941 + 18.1661i 1.50662 + 1.18001i
\(238\) −3.06574 8.29734i −0.198722 0.537836i
\(239\) 8.77151 0.567382 0.283691 0.958916i \(-0.408441\pi\)
0.283691 + 0.958916i \(0.408441\pi\)
\(240\) −1.94455 4.82959i −0.125520 0.311749i
\(241\) 2.83347 + 4.90771i 0.182520 + 0.316133i 0.942738 0.333534i \(-0.108241\pi\)
−0.760218 + 0.649668i \(0.774908\pi\)
\(242\) −2.62922 + 4.55395i −0.169013 + 0.292739i
\(243\) −5.24370 14.6800i −0.336383 0.941725i
\(244\) 5.77255 3.33278i 0.369550 0.213360i
\(245\) 7.00398 19.8414i 0.447468 1.26762i
\(246\) −4.70344 11.6817i −0.299881 0.744799i
\(247\) 0.709420 + 18.5102i 0.0451393 + 1.17778i
\(248\) 2.95768 5.12285i 0.187813 0.325301i
\(249\) 8.18973 + 20.3404i 0.519003 + 1.28902i
\(250\) 2.51101 + 1.44973i 0.158810 + 0.0916892i
\(251\) 4.10301 7.10662i 0.258980 0.448566i −0.706989 0.707224i \(-0.749947\pi\)
0.965969 + 0.258658i \(0.0832804\pi\)
\(252\) 0.573184 + 7.91653i 0.0361072 + 0.498695i
\(253\) −8.66423 5.00229i −0.544715 0.314491i
\(254\) −16.5335 −1.03741
\(255\) 17.2342 + 2.44318i 1.07925 + 0.152998i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 13.5312 23.4367i 0.844052 1.46194i −0.0423895 0.999101i \(-0.513497\pi\)
0.886442 0.462840i \(-0.153170\pi\)
\(258\) −6.10050 4.77802i −0.379801 0.297466i
\(259\) −1.14818 + 6.70200i −0.0713445 + 0.416442i
\(260\) 5.05552 9.58655i 0.313530 0.594533i
\(261\) 3.60979 12.4759i 0.223441 0.772240i
\(262\) 8.37298 0.517285
\(263\) 14.6216i 0.901606i −0.892623 0.450803i \(-0.851138\pi\)
0.892623 0.450803i \(-0.148862\pi\)
\(264\) −6.47852 + 2.60847i −0.398725 + 0.160540i
\(265\) 29.5133 1.81299
\(266\) −13.3976 2.29526i −0.821457 0.140731i
\(267\) −6.24015 0.884623i −0.381891 0.0541380i
\(268\) −7.04993 + 4.07028i −0.430643 + 0.248632i
\(269\) −14.3506 24.8559i −0.874970 1.51549i −0.856795 0.515658i \(-0.827548\pi\)
−0.0181755 0.999835i \(-0.505786\pi\)
\(270\) −14.2458 6.40411i −0.866973 0.389742i
\(271\) 3.61004 6.25277i 0.219294 0.379828i −0.735298 0.677744i \(-0.762958\pi\)
0.954592 + 0.297915i \(0.0962913\pi\)
\(272\) 3.34332 0.202719
\(273\) −11.8041 + 11.5613i −0.714415 + 0.699722i
\(274\) −20.8869 −1.26182
\(275\) −8.13573 + 14.0915i −0.490603 + 0.849750i
\(276\) −1.60511 3.98654i −0.0966164 0.239961i
\(277\) −10.1021 17.4973i −0.606976 1.05131i −0.991736 0.128297i \(-0.959049\pi\)
0.384760 0.923017i \(-0.374284\pi\)
\(278\) 12.4500 7.18799i 0.746699 0.431107i
\(279\) −4.25188 17.2292i −0.254554 1.03148i
\(280\) 6.11701 + 5.08232i 0.365562 + 0.303727i
\(281\) −5.71978 −0.341214 −0.170607 0.985339i \(-0.554573\pi\)
−0.170607 + 0.985339i \(0.554573\pi\)
\(282\) 4.31226 + 10.7102i 0.256792 + 0.637781i
\(283\) 2.77337i 0.164860i −0.996597 0.0824298i \(-0.973732\pi\)
0.996597 0.0824298i \(-0.0262680\pi\)
\(284\) −0.872993 −0.0518026
\(285\) 16.4930 21.0580i 0.976962 1.24737i
\(286\) −12.8596 6.78159i −0.760405 0.401004i
\(287\) 14.7957 + 12.2930i 0.873364 + 0.725634i
\(288\) −2.88179 0.833822i −0.169811 0.0491334i
\(289\) 2.91110 5.04218i 0.171241 0.296599i
\(290\) −6.50658 11.2697i −0.382080 0.661782i
\(291\) −0.538129 + 3.79597i −0.0315457 + 0.222524i
\(292\) −13.5738 −0.794347
\(293\) −11.4769 6.62619i −0.670488 0.387106i 0.125774 0.992059i \(-0.459859\pi\)
−0.796261 + 0.604953i \(0.793192\pi\)
\(294\) −6.51233 10.2269i −0.379807 0.596445i
\(295\) −4.78047 + 8.28002i −0.278330 + 0.482082i
\(296\) −2.22571 1.28501i −0.129366 0.0746898i
\(297\) −8.59062 + 19.1097i −0.498479 + 1.10886i
\(298\) −4.93899 + 8.55458i −0.286108 + 0.495553i
\(299\) 4.17303 7.91313i 0.241333 0.457628i
\(300\) −6.48371 + 2.61056i −0.374337 + 0.150720i
\(301\) 11.6667 + 1.99873i 0.672456 + 0.115205i
\(302\) −4.74145 + 2.73748i −0.272840 + 0.157524i
\(303\) −20.9887 + 8.45073i −1.20577 + 0.485482i
\(304\) 2.56879 4.44927i 0.147330 0.255183i
\(305\) −10.0180 17.3517i −0.573629 0.993554i
\(306\) 7.23163 6.95008i 0.413405 0.397310i
\(307\) 20.2861 1.15779 0.578894 0.815403i \(-0.303484\pi\)
0.578894 + 0.815403i \(0.303484\pi\)
\(308\) 6.81754 8.20550i 0.388465 0.467552i
\(309\) 18.3239 23.3957i 1.04241 1.33094i
\(310\) −15.3988 8.89047i −0.874590 0.504945i
\(311\) 8.05505 13.9518i 0.456760 0.791131i −0.542028 0.840361i \(-0.682343\pi\)
0.998788 + 0.0492293i \(0.0156765\pi\)
\(312\) −2.55263 5.69948i −0.144514 0.322670i
\(313\) −23.6806 + 13.6720i −1.33851 + 0.772789i −0.986586 0.163240i \(-0.947805\pi\)
−0.351923 + 0.936029i \(0.614472\pi\)
\(314\) 7.68837 4.43888i 0.433880 0.250501i
\(315\) 23.7963 1.72293i 1.34077 0.0970761i
\(316\) 8.50477 14.7307i 0.478431 0.828667i
\(317\) 13.0955 + 22.6820i 0.735514 + 1.27395i 0.954497 + 0.298219i \(0.0963926\pi\)
−0.218983 + 0.975729i \(0.570274\pi\)
\(318\) 10.4860 13.3884i 0.588028 0.750786i
\(319\) −15.1175 + 8.72808i −0.846416 + 0.488679i
\(320\) −2.60318 + 1.50295i −0.145522 + 0.0840173i
\(321\) −3.47016 0.491940i −0.193685 0.0274574i
\(322\) 5.04923 + 4.19515i 0.281383 + 0.233787i
\(323\) 8.58828 + 14.8753i 0.477865 + 0.827686i
\(324\) −7.96669 + 4.18710i −0.442594 + 0.232617i
\(325\) −12.8699 6.78702i −0.713895 0.376476i
\(326\) −4.75335 2.74435i −0.263264 0.151995i
\(327\) 23.7371 + 3.36505i 1.31267 + 0.186088i
\(328\) −6.29653 + 3.63530i −0.347668 + 0.200726i
\(329\) −13.5652 11.2706i −0.747872 0.621369i
\(330\) 7.84078 + 19.4738i 0.431620 + 1.07200i
\(331\) 13.5606i 0.745356i −0.927961 0.372678i \(-0.878440\pi\)
0.927961 0.372678i \(-0.121560\pi\)
\(332\) 10.9636 6.32986i 0.601708 0.347396i
\(333\) −7.48550 + 1.84730i −0.410203 + 0.101231i
\(334\) 3.48012i 0.190424i
\(335\) 12.2348 + 21.1913i 0.668460 + 1.15781i
\(336\) 4.47892 0.969182i 0.244345 0.0528732i
\(337\) 9.84727 0.536415 0.268208 0.963361i \(-0.413569\pi\)
0.268208 + 0.963361i \(0.413569\pi\)
\(338\) 5.61923 11.7228i 0.305646 0.637637i
\(339\) −24.0711 3.41239i −1.30736 0.185336i
\(340\) 10.0497i 0.545020i
\(341\) −11.9259 + 20.6562i −0.645823 + 1.11860i
\(342\) −3.69282 14.9638i −0.199685 0.809150i
\(343\) 16.1723 + 9.02526i 0.873224 + 0.487318i
\(344\) −2.23692 + 3.87445i −0.120606 + 0.208897i
\(345\) −11.9831 + 4.82480i −0.645149 + 0.259758i
\(346\) −5.87790 + 10.1808i −0.315998 + 0.547324i
\(347\) −23.5901 + 13.6197i −1.26638 + 0.731146i −0.974302 0.225247i \(-0.927681\pi\)
−0.292081 + 0.956394i \(0.594348\pi\)
\(348\) −7.42419 1.05248i −0.397978 0.0564187i
\(349\) 6.39541 + 11.0772i 0.342339 + 0.592948i 0.984867 0.173314i \(-0.0554477\pi\)
−0.642528 + 0.766262i \(0.722114\pi\)
\(350\) 6.82300 8.21208i 0.364705 0.438954i
\(351\) −17.3694 7.02163i −0.927111 0.374787i
\(352\) 2.01609 + 3.49197i 0.107458 + 0.186122i
\(353\) 7.75686i 0.412856i −0.978462 0.206428i \(-0.933816\pi\)
0.978462 0.206428i \(-0.0661839\pi\)
\(354\) 2.05766 + 5.11050i 0.109363 + 0.271620i
\(355\) 2.62412i 0.139274i
\(356\) 3.63877i 0.192855i
\(357\) −4.68106 + 14.5884i −0.247748 + 0.772100i
\(358\) −9.26309 5.34805i −0.489570 0.282653i
\(359\) 0.650209 + 1.12619i 0.0343167 + 0.0594383i 0.882674 0.469986i \(-0.155741\pi\)
−0.848357 + 0.529425i \(0.822408\pi\)
\(360\) −2.50638 + 8.66237i −0.132098 + 0.456547i
\(361\) 7.39469 0.389194
\(362\) 13.7612 + 7.94502i 0.723272 + 0.417581i
\(363\) 8.44878 3.40176i 0.443446 0.178546i
\(364\) 7.56541 + 5.81073i 0.396535 + 0.304565i
\(365\) 40.8014i 2.13564i
\(366\) −11.4308 1.62047i −0.597498 0.0847032i
\(367\) 21.0909i 1.10093i 0.834857 + 0.550467i \(0.185550\pi\)
−0.834857 + 0.550467i \(0.814450\pi\)
\(368\) −2.14877 + 1.24059i −0.112012 + 0.0646704i
\(369\) −6.06238 + 20.9524i −0.315595 + 1.09074i
\(370\) −3.86261 + 6.69024i −0.200808 + 0.347809i
\(371\) −4.38649 + 25.6042i −0.227735 + 1.32930i
\(372\) −9.50424 + 3.82672i −0.492772 + 0.198406i
\(373\) 22.0250 1.14041 0.570206 0.821502i \(-0.306863\pi\)
0.570206 + 0.821502i \(0.306863\pi\)
\(374\) −13.4809 −0.697079
\(375\) −1.87570 4.65859i −0.0968608 0.240569i
\(376\) 5.77285 3.33296i 0.297712 0.171884i
\(377\) −8.31659 13.2092i −0.428326 0.680306i
\(378\) 7.67320 11.4071i 0.394667 0.586718i
\(379\) 6.24288 3.60433i 0.320675 0.185142i −0.331018 0.943624i \(-0.607392\pi\)
0.651694 + 0.758482i \(0.274059\pi\)
\(380\) −13.3740 7.72151i −0.686074 0.396105i
\(381\) 22.5451 + 17.6577i 1.15502 + 0.904631i
\(382\) 14.9297 + 8.61966i 0.763869 + 0.441020i
\(383\) 32.6983i 1.67080i −0.549639 0.835402i \(-0.685235\pi\)
0.549639 0.835402i \(-0.314765\pi\)
\(384\) −0.243110 + 1.71490i −0.0124062 + 0.0875134i
\(385\) −24.6649 20.4928i −1.25704 1.04441i
\(386\) 10.8338 + 6.25490i 0.551426 + 0.318366i
\(387\) 3.21573 + 13.0306i 0.163465 + 0.662381i
\(388\) 2.21352 0.112374
\(389\) 24.6307 + 14.2206i 1.24883 + 0.721012i 0.970876 0.239583i \(-0.0770108\pi\)
0.277953 + 0.960595i \(0.410344\pi\)
\(390\) −17.1320 + 7.67293i −0.867515 + 0.388534i
\(391\) 8.29541i 0.419517i
\(392\) −5.31832 + 4.55143i −0.268615 + 0.229882i
\(393\) −11.4174 8.94228i −0.575930 0.451078i
\(394\) 10.6132 0.534684
\(395\) −44.2789 25.5645i −2.22792 1.28629i
\(396\) 11.6199 + 3.36212i 0.583922 + 0.168953i
\(397\) 20.0824 1.00790 0.503952 0.863732i \(-0.331879\pi\)
0.503952 + 0.863732i \(0.331879\pi\)
\(398\) 7.58421i 0.380162i
\(399\) 15.8175 + 17.4383i 0.791867 + 0.873006i
\(400\) 2.01770 + 3.49476i 0.100885 + 0.174738i
\(401\) 2.66078 4.60861i 0.132873 0.230143i −0.791910 0.610638i \(-0.790913\pi\)
0.924783 + 0.380495i \(0.124246\pi\)
\(402\) 13.9603 + 1.97905i 0.696275 + 0.0987061i
\(403\) −18.8656 9.94885i −0.939761 0.495588i
\(404\) 6.53158 + 11.3130i 0.324958 + 0.562844i
\(405\) 12.5860 + 23.9470i 0.625403 + 1.18994i
\(406\) 10.7441 3.96978i 0.533221 0.197017i
\(407\) 8.97444 + 5.18139i 0.444846 + 0.256832i
\(408\) −4.55894 3.57064i −0.225701 0.176773i
\(409\) 8.75037 + 15.1561i 0.432678 + 0.749420i 0.997103 0.0760640i \(-0.0242353\pi\)
−0.564425 + 0.825484i \(0.690902\pi\)
\(410\) 10.9273 + 18.9267i 0.539663 + 0.934723i
\(411\) 28.4813 + 22.3070i 1.40488 + 1.10033i
\(412\) −14.8587 8.57869i −0.732037 0.422642i
\(413\) −6.47281 5.37793i −0.318506 0.264631i
\(414\) −2.06887 + 7.15027i −0.101679 + 0.351417i
\(415\) −19.0269 32.9555i −0.933993 1.61772i
\(416\) −3.05117 + 1.92104i −0.149596 + 0.0941866i
\(417\) −24.6534 3.49495i −1.20728 0.171148i
\(418\) −10.3578 + 17.9402i −0.506617 + 0.877486i
\(419\) −11.9702 20.7329i −0.584780 1.01287i −0.994903 0.100839i \(-0.967847\pi\)
0.410122 0.912030i \(-0.365486\pi\)
\(420\) −2.91326 13.4632i −0.142152 0.656935i
\(421\) 18.4384i 0.898634i −0.893372 0.449317i \(-0.851667\pi\)
0.893372 0.449317i \(-0.148333\pi\)
\(422\) −11.6344 −0.566355
\(423\) 5.55818 19.2098i 0.270248 0.934012i
\(424\) −8.50304 4.90923i −0.412944 0.238414i
\(425\) −13.4917 −0.654442
\(426\) 1.19041 + 0.932349i 0.0576755 + 0.0451725i
\(427\) 16.5424 6.11216i 0.800541 0.295788i
\(428\) 2.02353i 0.0978109i
\(429\) 10.2926 + 22.9813i 0.496933 + 1.10955i
\(430\) 11.6462 + 6.72394i 0.561630 + 0.324257i
\(431\) −14.7783 −0.711844 −0.355922 0.934516i \(-0.615833\pi\)
−0.355922 + 0.934516i \(0.615833\pi\)
\(432\) 3.03909 + 4.21473i 0.146218 + 0.202781i
\(433\) −24.1602 13.9489i −1.16107 0.670342i −0.209507 0.977807i \(-0.567186\pi\)
−0.951559 + 0.307465i \(0.900519\pi\)
\(434\) 10.0016 12.0378i 0.480092 0.577832i
\(435\) −3.16363 + 22.3163i −0.151685 + 1.06999i
\(436\) 13.8417i 0.662895i
\(437\) −11.0395 6.37365i −0.528090 0.304893i
\(438\) 18.5092 + 14.4967i 0.884403 + 0.692680i
\(439\) −5.37390 3.10262i −0.256482 0.148080i 0.366246 0.930518i \(-0.380643\pi\)
−0.622729 + 0.782438i \(0.713976\pi\)
\(440\) 10.4965 6.06015i 0.500400 0.288906i
\(441\) −2.04206 + 20.9005i −0.0972409 + 0.995261i
\(442\) −0.461661 12.0457i −0.0219590 0.572954i
\(443\) 5.47785 3.16264i 0.260261 0.150261i −0.364193 0.931324i \(-0.618655\pi\)
0.624453 + 0.781062i \(0.285322\pi\)
\(444\) 1.66258 + 4.12927i 0.0789026 + 0.195967i
\(445\) 10.9378 0.518500
\(446\) −1.39221 −0.0659232
\(447\) 15.8710 6.39019i 0.750672 0.302245i
\(448\) −0.916975 2.48177i −0.0433230 0.117252i
\(449\) 17.8544 30.9247i 0.842600 1.45943i −0.0450883 0.998983i \(-0.514357\pi\)
0.887689 0.460444i \(-0.152310\pi\)
\(450\) 11.6292 + 3.36481i 0.548206 + 0.158619i
\(451\) 25.3887 14.6582i 1.19551 0.690227i
\(452\) 14.0364i 0.660217i
\(453\) 9.38903 + 1.33102i 0.441135 + 0.0625367i
\(454\) 7.24063i 0.339819i
\(455\) 17.4665 22.7408i 0.818840 1.06611i
\(456\) −8.25457 + 3.32356i −0.386556 + 0.155640i
\(457\) −1.99963 1.15448i −0.0935385 0.0540045i 0.452501 0.891764i \(-0.350532\pi\)
−0.546040 + 0.837759i \(0.683865\pi\)
\(458\) 24.0227 1.12251
\(459\) −17.2837 + 1.75378i −0.806732 + 0.0818596i
\(460\) 3.72910 + 6.45898i 0.173870 + 0.301152i
\(461\) −30.3853 17.5430i −1.41519 0.817058i −0.419315 0.907841i \(-0.637730\pi\)
−0.995871 + 0.0907832i \(0.971063\pi\)
\(462\) −18.0598 + 3.90791i −0.840217 + 0.181812i
\(463\) 34.0752i 1.58361i 0.610776 + 0.791804i \(0.290858\pi\)
−0.610776 + 0.791804i \(0.709142\pi\)
\(464\) 4.32922i 0.200979i
\(465\) 11.5027 + 28.5688i 0.533426 + 1.32484i
\(466\) 3.80256i 0.176150i
\(467\) 17.7900 + 30.8133i 0.823225 + 1.42587i 0.903268 + 0.429076i \(0.141161\pi\)
−0.0800430 + 0.996791i \(0.525506\pi\)
\(468\) −2.60625 + 10.4980i −0.120474 + 0.485269i
\(469\) −20.2029 + 7.46468i −0.932885 + 0.344687i
\(470\) −10.0185 17.3526i −0.462120 0.800415i
\(471\) −15.2245 2.15827i −0.701509 0.0994480i
\(472\) 2.75459 1.59037i 0.126790 0.0732025i
\(473\) 9.01964 15.6225i 0.414724 0.718322i
\(474\) −27.3293 + 11.0037i −1.25528 + 0.505416i
\(475\) −10.3661 + 17.9546i −0.475629 + 0.823814i
\(476\) 8.71857 + 1.49366i 0.399615 + 0.0684618i
\(477\) −28.5975 + 7.05739i −1.30939 + 0.323136i
\(478\) −4.38575 + 7.59635i −0.200600 + 0.347449i
\(479\) 7.43704i 0.339807i −0.985461 0.169904i \(-0.945654\pi\)
0.985461 0.169904i \(-0.0543456\pi\)
\(480\) 5.15482 + 0.730764i 0.235284 + 0.0333547i
\(481\) −4.32244 + 8.19645i −0.197086 + 0.373726i
\(482\) −5.66694 −0.258122
\(483\) −2.40472 11.1130i −0.109419 0.505660i
\(484\) −2.62922 4.55395i −0.119510 0.206998i
\(485\) 6.65360i 0.302124i
\(486\) 15.3351 + 2.79884i 0.695616 + 0.126958i
\(487\) 15.5627 8.98512i 0.705212 0.407154i −0.104074 0.994570i \(-0.533188\pi\)
0.809286 + 0.587415i \(0.199854\pi\)
\(488\) 6.66557i 0.301736i
\(489\) 3.55071 + 8.81872i 0.160569 + 0.398796i
\(490\) 13.6811 + 15.9863i 0.618050 + 0.722187i
\(491\) −2.56980 + 1.48368i −0.115974 + 0.0669573i −0.556865 0.830603i \(-0.687996\pi\)
0.440891 + 0.897561i \(0.354662\pi\)
\(492\) 12.4684 + 1.76756i 0.562118 + 0.0796876i
\(493\) −12.5348 7.23698i −0.564540 0.325937i
\(494\) −16.3850 8.64073i −0.737197 0.388765i
\(495\) 10.1062 34.9282i 0.454238 1.56991i
\(496\) 2.95768 + 5.12285i 0.132804 + 0.230023i
\(497\) −2.27655 0.390018i −0.102117 0.0174947i
\(498\) −21.7102 3.07771i −0.972857 0.137915i
\(499\) −14.4827 + 8.36158i −0.648334 + 0.374316i −0.787818 0.615909i \(-0.788789\pi\)
0.139484 + 0.990224i \(0.455456\pi\)
\(500\) −2.51101 + 1.44973i −0.112296 + 0.0648341i
\(501\) −3.71674 + 4.74548i −0.166052 + 0.212012i
\(502\) 4.10301 + 7.10662i 0.183126 + 0.317184i
\(503\) −13.2712 + 22.9863i −0.591732 + 1.02491i 0.402268 + 0.915522i \(0.368222\pi\)
−0.993999 + 0.109387i \(0.965111\pi\)
\(504\) −7.14251 3.46187i −0.318153 0.154204i
\(505\) 34.0058 19.6333i 1.51324 0.873668i
\(506\) 8.66423 5.00229i 0.385172 0.222379i
\(507\) −20.1822 + 9.98389i −0.896324 + 0.443400i
\(508\) 8.26677 14.3185i 0.366779 0.635279i
\(509\) 4.27365 + 2.46739i 0.189426 + 0.109365i 0.591714 0.806148i \(-0.298451\pi\)
−0.402288 + 0.915513i \(0.631785\pi\)
\(510\) −10.7330 + 13.7037i −0.475264 + 0.606810i
\(511\) −35.3972 6.06422i −1.56588 0.268265i
\(512\) 1.00000 0.0441942
\(513\) −10.9457 + 24.3485i −0.483264 + 1.07501i
\(514\) 13.5312 + 23.4367i 0.596835 + 1.03375i
\(515\) −25.7866 + 44.6638i −1.13630 + 1.96812i
\(516\) 7.18813 2.89418i 0.316440 0.127409i
\(517\) −23.2772 + 13.4391i −1.02373 + 0.591050i
\(518\) −5.23001 4.34535i −0.229794 0.190924i
\(519\) 18.8881 7.60497i 0.829096 0.333821i
\(520\) 5.77444 + 9.17149i 0.253226 + 0.402196i
\(521\) 3.36581 5.82976i 0.147459 0.255407i −0.782829 0.622237i \(-0.786224\pi\)
0.930288 + 0.366831i \(0.119557\pi\)
\(522\) 8.99956 + 9.36413i 0.393900 + 0.409857i
\(523\) −33.9790 19.6178i −1.48580 0.857825i −0.485927 0.873999i \(-0.661518\pi\)
−0.999869 + 0.0161746i \(0.994851\pi\)
\(524\) −4.18649 + 7.25122i −0.182888 + 0.316771i
\(525\) −18.0742 + 3.91104i −0.788825 + 0.170692i
\(526\) 12.6627 + 7.31080i 0.552119 + 0.318766i
\(527\) −19.7769 −0.861497
\(528\) 0.980263 6.91480i 0.0426605 0.300928i
\(529\) −8.42185 14.5871i −0.366168 0.634221i
\(530\) −14.7566 + 25.5593i −0.640988 + 1.11022i
\(531\) 2.65216 9.16622i 0.115094 0.397780i
\(532\) 8.68653 10.4550i 0.376609 0.453282i
\(533\) 13.9671 + 22.1838i 0.604982 + 0.960888i
\(534\) 3.88618 4.96182i 0.168171 0.214719i
\(535\) 6.08251 0.262970
\(536\) 8.14055i 0.351618i
\(537\) 6.91944 + 17.1855i 0.298596 + 0.741608i
\(538\) 28.7012 1.23739
\(539\) 21.4444 18.3522i 0.923675 0.790484i
\(540\) 12.6690 9.13518i 0.545188 0.393116i
\(541\) −23.6391 + 13.6481i −1.01633 + 0.586776i −0.913037 0.407876i \(-0.866270\pi\)
−0.103288 + 0.994652i \(0.532936\pi\)
\(542\) 3.61004 + 6.25277i 0.155064 + 0.268579i
\(543\) −10.2795 25.5306i −0.441134 1.09562i
\(544\) −1.67166 + 2.89540i −0.0716718 + 0.124139i
\(545\) −41.6066 −1.78223
\(546\) −4.11034 16.0033i −0.175906 0.684877i
\(547\) 31.5392 1.34852 0.674259 0.738495i \(-0.264463\pi\)
0.674259 + 0.738495i \(0.264463\pi\)
\(548\) 10.4435 18.0886i 0.446122 0.772706i
\(549\) 13.8564 + 14.4177i 0.591375 + 0.615331i
\(550\) −8.13573 14.0915i −0.346909 0.600864i
\(551\) −19.2619 + 11.1208i −0.820583 + 0.473764i
\(552\) 4.25500 + 0.603202i 0.181105 + 0.0256740i
\(553\) 28.7595 34.6145i 1.22298 1.47196i
\(554\) 20.2042 0.858394
\(555\) 12.4122 4.99754i 0.526867 0.212134i
\(556\) 14.3760i 0.609677i
\(557\) −5.26531 −0.223098 −0.111549 0.993759i \(-0.535581\pi\)
−0.111549 + 0.993759i \(0.535581\pi\)
\(558\) 17.0469 + 4.93235i 0.721651 + 0.208803i
\(559\) 14.2682 + 7.52440i 0.603480 + 0.318248i
\(560\) −7.45993 + 2.75633i −0.315239 + 0.116476i
\(561\) 18.3824 + 14.3974i 0.776107 + 0.607861i
\(562\) 2.85989 4.95348i 0.120637 0.208950i
\(563\) 21.0817 + 36.5146i 0.888489 + 1.53891i 0.841662 + 0.540005i \(0.181577\pi\)
0.0468266 + 0.998903i \(0.485089\pi\)
\(564\) −11.4314 1.62055i −0.481349 0.0682375i
\(565\) 42.1920 1.77503
\(566\) 2.40181 + 1.38668i 0.100955 + 0.0582866i
\(567\) −22.6458 + 7.35976i −0.951036 + 0.309081i
\(568\) 0.436496 0.756034i 0.0183150 0.0317225i
\(569\) 4.30714 + 2.48673i 0.180565 + 0.104249i 0.587558 0.809182i \(-0.300089\pi\)
−0.406993 + 0.913431i \(0.633423\pi\)
\(570\) 9.99028 + 24.8124i 0.418447 + 1.03928i
\(571\) 8.28254 14.3458i 0.346613 0.600352i −0.639032 0.769180i \(-0.720665\pi\)
0.985646 + 0.168828i \(0.0539983\pi\)
\(572\) 12.3028 7.74596i 0.514408 0.323875i
\(573\) −11.1523 27.6985i −0.465895 1.15712i
\(574\) −18.0439 + 6.66696i −0.753139 + 0.278273i
\(575\) 8.67117 5.00630i 0.361613 0.208777i
\(576\) 2.16301 2.07880i 0.0901253 0.0866165i
\(577\) −0.888204 + 1.53841i −0.0369764 + 0.0640450i −0.883921 0.467636i \(-0.845106\pi\)
0.846945 + 0.531681i \(0.178439\pi\)
\(578\) 2.91110 + 5.04218i 0.121086 + 0.209727i
\(579\) −8.09274 20.0996i −0.336323 0.835309i
\(580\) 13.0132 0.540342
\(581\) 31.4184 11.6086i 1.30346 0.481607i
\(582\) −3.01834 2.36402i −0.125114 0.0979917i
\(583\) 34.2858 + 19.7949i 1.41997 + 0.819821i
\(584\) 6.78690 11.7553i 0.280844 0.486436i
\(585\) 31.5558 + 7.83411i 1.30467 + 0.323901i
\(586\) 11.4769 6.62619i 0.474106 0.273725i
\(587\) 25.1460 14.5180i 1.03789 0.599224i 0.118652 0.992936i \(-0.462143\pi\)
0.919234 + 0.393712i \(0.128809\pi\)
\(588\) 12.1129 0.526395i 0.499529 0.0217082i
\(589\) −15.1953 + 26.3190i −0.626112 + 1.08446i
\(590\) −4.78047 8.28002i −0.196809 0.340883i
\(591\) −14.4721 11.3348i −0.595302 0.466251i
\(592\) 2.22571 1.28501i 0.0914759 0.0528136i
\(593\) 32.7140 18.8874i 1.34340 0.775614i 0.356097 0.934449i \(-0.384107\pi\)
0.987305 + 0.158835i \(0.0507738\pi\)
\(594\) −12.2541 16.9945i −0.502794 0.697294i
\(595\) 4.48978 26.2071i 0.184063 1.07439i
\(596\) −4.93899 8.55458i −0.202309 0.350409i
\(597\) 8.09987 10.3418i 0.331506 0.423261i
\(598\) 4.76646 + 7.57052i 0.194915 + 0.309581i
\(599\) −37.6285 21.7248i −1.53746 0.887653i −0.998987 0.0450101i \(-0.985668\pi\)
−0.538473 0.842643i \(-0.680999\pi\)
\(600\) 0.981048 6.92034i 0.0400511 0.282522i
\(601\) −13.6314 + 7.87007i −0.556035 + 0.321027i −0.751553 0.659673i \(-0.770695\pi\)
0.195518 + 0.980700i \(0.437361\pi\)
\(602\) −7.56429 + 9.10428i −0.308297 + 0.371063i
\(603\) −16.9226 17.6081i −0.689140 0.717057i
\(604\) 5.47496i 0.222773i
\(605\) −13.6887 + 7.90317i −0.556524 + 0.321310i
\(606\) 3.17579 22.4021i 0.129008 0.910022i
\(607\) 9.94765i 0.403762i 0.979410 + 0.201881i \(0.0647055\pi\)
−0.979410 + 0.201881i \(0.935294\pi\)
\(608\) 2.56879 + 4.44927i 0.104178 + 0.180442i
\(609\) −18.8903 6.06143i −0.765473 0.245622i
\(610\) 20.0360 0.811234
\(611\) −12.8055 20.3388i −0.518054 0.822820i
\(612\) 2.40313 + 9.73782i 0.0971410 + 0.393628i
\(613\) 39.8143i 1.60808i 0.594573 + 0.804041i \(0.297321\pi\)
−0.594573 + 0.804041i \(0.702679\pi\)
\(614\) −10.1430 + 17.5683i −0.409340 + 0.708998i
\(615\) 5.31309 37.4787i 0.214245 1.51129i
\(616\) 3.69740 + 10.0069i 0.148973 + 0.403190i
\(617\) −3.33450 + 5.77553i −0.134242 + 0.232514i −0.925308 0.379217i \(-0.876193\pi\)
0.791066 + 0.611731i \(0.209527\pi\)
\(618\) 11.0993 + 27.5669i 0.446480 + 1.10890i
\(619\) −1.64337 + 2.84640i −0.0660526 + 0.114406i −0.897160 0.441705i \(-0.854374\pi\)
0.831108 + 0.556111i \(0.187707\pi\)
\(620\) 15.3988 8.89047i 0.618429 0.357050i
\(621\) 10.4575 7.54055i 0.419646 0.302592i
\(622\) 8.05505 + 13.9518i 0.322978 + 0.559414i
\(623\) −1.62566 + 9.48904i −0.0651305 + 0.380170i
\(624\) 6.21221 + 0.639101i 0.248687 + 0.0255845i
\(625\) 14.4463 + 25.0217i 0.577851 + 1.00087i
\(626\) 27.3441i 1.09289i
\(627\) 33.2839 13.4012i 1.32923 0.535192i
\(628\) 8.87776i 0.354261i
\(629\) 8.59241i 0.342602i
\(630\) −10.4060 + 21.4696i −0.414586 + 0.855371i
\(631\) −25.0289 14.4504i −0.996383 0.575262i −0.0892070 0.996013i \(-0.528433\pi\)
−0.907176 + 0.420751i \(0.861767\pi\)
\(632\) 8.50477 + 14.7307i 0.338302 + 0.585956i
\(633\) 15.8647 + 12.4255i 0.630564 + 0.493868i
\(634\) −26.1909 −1.04017
\(635\) −43.0398 24.8491i −1.70798 0.986105i
\(636\) 6.35169 + 15.7754i 0.251861 + 0.625535i
\(637\) 17.1328 + 18.5329i 0.678825 + 0.734301i
\(638\) 17.4562i 0.691096i
\(639\) −0.627496 2.54269i −0.0248233 0.100587i
\(640\) 3.00590i 0.118818i
\(641\) −14.7576 + 8.52032i −0.582891 + 0.336533i −0.762282 0.647245i \(-0.775921\pi\)
0.179390 + 0.983778i \(0.442588\pi\)
\(642\) 2.16111 2.75927i 0.0852922 0.108900i
\(643\) −21.5514 + 37.3282i −0.849906 + 1.47208i 0.0313853 + 0.999507i \(0.490008\pi\)
−0.881291 + 0.472573i \(0.843325\pi\)
\(644\) −6.15772 + 2.27519i −0.242648 + 0.0896549i
\(645\) −8.69960 21.6068i −0.342546 0.850766i
\(646\) −17.1766 −0.675803
\(647\) −9.13877 −0.359282 −0.179641 0.983732i \(-0.557494\pi\)
−0.179641 + 0.983732i \(0.557494\pi\)
\(648\) 0.357208 8.99291i 0.0140324 0.353275i
\(649\) −11.1070 + 6.41264i −0.435988 + 0.251718i
\(650\) 12.3127 7.75217i 0.482944 0.304065i
\(651\) −26.4944 + 5.73306i −1.03840 + 0.224696i
\(652\) 4.75335 2.74435i 0.186156 0.107477i
\(653\) 12.6236 + 7.28821i 0.493998 + 0.285210i 0.726231 0.687450i \(-0.241270\pi\)
−0.232234 + 0.972660i \(0.574603\pi\)
\(654\) −14.7828 + 18.8744i −0.578052 + 0.738048i
\(655\) 21.7964 + 12.5842i 0.851656 + 0.491704i
\(656\) 7.27060i 0.283869i
\(657\) −9.75667 39.5353i −0.380644 1.54242i
\(658\) 16.5432 6.11247i 0.644922 0.238289i
\(659\) 23.2554 + 13.4265i 0.905901 + 0.523022i 0.879110 0.476619i \(-0.158138\pi\)
0.0267913 + 0.999641i \(0.491471\pi\)
\(660\) −20.7852 2.94657i −0.809061 0.114695i
\(661\) −25.1784 −0.979327 −0.489663 0.871912i \(-0.662880\pi\)
−0.489663 + 0.871912i \(0.662880\pi\)
\(662\) 11.7438 + 6.78028i 0.456435 + 0.263523i
\(663\) −12.2352 + 16.9185i −0.475174 + 0.657059i
\(664\) 12.6597i 0.491292i
\(665\) −31.4266 26.1108i −1.21867 1.01253i
\(666\) 2.14294 7.40628i 0.0830373 0.286987i
\(667\) 10.7416 0.415916
\(668\) 3.01387 + 1.74006i 0.116610 + 0.0673250i
\(669\) 1.89842 + 1.48687i 0.0733970 + 0.0574858i
\(670\) −24.4697 −0.945345
\(671\) 26.8767i 1.03757i
\(672\) −1.40012 + 4.36345i −0.0540109 + 0.168324i
\(673\) −9.27973 16.0730i −0.357707 0.619567i 0.629870 0.776700i \(-0.283108\pi\)
−0.987577 + 0.157133i \(0.949775\pi\)
\(674\) −4.92364 + 8.52799i −0.189651 + 0.328486i
\(675\) −12.2640 17.0081i −0.472040 0.654644i
\(676\) 7.34264 + 10.7278i 0.282409 + 0.412608i
\(677\) 9.29724 + 16.1033i 0.357322 + 0.618900i 0.987512 0.157541i \(-0.0503566\pi\)
−0.630191 + 0.776441i \(0.717023\pi\)
\(678\) 14.9908 19.1400i 0.575717 0.735066i
\(679\) 5.77232 + 0.988909i 0.221521 + 0.0379509i
\(680\) 8.70327 + 5.02484i 0.333755 + 0.192694i
\(681\) 7.73293 9.87329i 0.296326 0.378345i
\(682\) −11.9259 20.6562i −0.456666 0.790968i
\(683\) 16.5963 + 28.7457i 0.635041 + 1.09992i 0.986506 + 0.163723i \(0.0523503\pi\)
−0.351465 + 0.936201i \(0.614316\pi\)
\(684\) 14.8054 + 4.28382i 0.566100 + 0.163796i
\(685\) −54.3724 31.3919i −2.07746 1.19942i
\(686\) −15.9023 + 9.49303i −0.607152 + 0.362446i
\(687\) −32.7572 25.6560i −1.24977 0.978839i
\(688\) −2.23692 3.87445i −0.0852816 0.147712i
\(689\) −16.5134 + 31.3136i −0.629109 + 1.19295i
\(690\) 1.81316 12.7901i 0.0690259 0.486910i
\(691\) −10.3366 + 17.9036i −0.393224 + 0.681084i −0.992873 0.119179i \(-0.961974\pi\)
0.599648 + 0.800264i \(0.295307\pi\)
\(692\) −5.87790 10.1808i −0.223444 0.387016i
\(693\) 28.7999 + 13.9589i 1.09402 + 0.530254i
\(694\) 27.2395i 1.03400i
\(695\) 43.2127 1.63915
\(696\) 4.62357 5.90330i 0.175256 0.223764i
\(697\) 21.0513 + 12.1540i 0.797375 + 0.460365i
\(698\) −12.7908 −0.484140
\(699\) −4.06110 + 5.18515i −0.153605 + 0.196121i
\(700\) 3.70037 + 10.0149i 0.139861 + 0.378529i
\(701\) 5.92119i 0.223640i −0.993728 0.111820i \(-0.964332\pi\)
0.993728 0.111820i \(-0.0356681\pi\)
\(702\) 14.7656 11.5315i 0.557292 0.435230i
\(703\) 11.4347 + 6.60184i 0.431269 + 0.248993i
\(704\) −4.03218 −0.151968
\(705\) −4.87121 + 34.3616i −0.183460 + 1.29413i
\(706\) 6.71764 + 3.87843i 0.252822 + 0.145967i
\(707\) 11.9786 + 32.4197i 0.450501 + 1.21927i
\(708\) −5.45465 0.773268i −0.204998 0.0290612i
\(709\) 38.9620i 1.46325i −0.681709 0.731624i \(-0.738763\pi\)
0.681709 0.731624i \(-0.261237\pi\)
\(710\) −2.27256 1.31206i −0.0852876 0.0492408i
\(711\) 49.0180 + 14.1829i 1.83832 + 0.531901i
\(712\) −3.15127 1.81939i −0.118099 0.0681844i
\(713\) 12.7108 7.33856i 0.476022 0.274831i
\(714\) −10.2934 11.3481i −0.385221 0.424692i
\(715\) −23.2836 36.9810i −0.870756 1.38301i
\(716\) 9.26309 5.34805i 0.346178 0.199866i
\(717\) 14.0932 5.67440i 0.526321 0.211914i
\(718\) −1.30042 −0.0485311
\(719\) 24.4731 0.912694 0.456347 0.889802i \(-0.349158\pi\)
0.456347 + 0.889802i \(0.349158\pi\)
\(720\) −6.24865 6.50178i −0.232873 0.242307i
\(721\) −34.9154 29.0094i −1.30032 1.08037i
\(722\) −3.69734 + 6.40399i −0.137601 + 0.238332i
\(723\) 7.72741 + 6.05224i 0.287386 + 0.225085i
\(724\) −13.7612 + 7.94502i −0.511430 + 0.295274i
\(725\) 17.4701i 0.648825i
\(726\) −1.27838 + 9.01773i −0.0474452 + 0.334679i
\(727\) 49.5341i 1.83712i 0.395283 + 0.918560i \(0.370647\pi\)
−0.395283 + 0.918560i \(0.629353\pi\)
\(728\) −8.81495 + 3.64647i −0.326704 + 0.135147i
\(729\) −17.9218 20.1943i −0.663770 0.747937i
\(730\) −35.3351 20.4007i −1.30781 0.755064i
\(731\) 14.9575 0.553222
\(732\) 7.11877 9.08914i 0.263117 0.335944i
\(733\) 17.0909 + 29.6023i 0.631266 + 1.09338i 0.987293 + 0.158909i \(0.0507977\pi\)
−0.356027 + 0.934476i \(0.615869\pi\)
\(734\) −18.2652 10.5454i −0.674182 0.389239i
\(735\) −1.58229 36.4102i −0.0583636 1.34301i
\(736\) 2.48119i 0.0914578i
\(737\) 32.8242i 1.20909i
\(738\) −15.1141 15.7264i −0.556358 0.578896i
\(739\) 6.24211i 0.229620i −0.993387 0.114810i \(-0.963374\pi\)
0.993387 0.114810i \(-0.0366259\pi\)
\(740\) −3.86261 6.69024i −0.141992 0.245938i
\(741\) 13.1143 + 29.2815i 0.481766 + 1.07568i
\(742\) −19.9806 16.6009i −0.733512 0.609439i
\(743\) 3.45608 + 5.98611i 0.126791 + 0.219609i 0.922432 0.386160i \(-0.126199\pi\)
−0.795640 + 0.605769i \(0.792865\pi\)
\(744\) 1.43808 10.1443i 0.0527227 0.371907i
\(745\) −25.7142 + 14.8461i −0.942094 + 0.543918i
\(746\) −11.0125 + 19.0742i −0.403196 + 0.698357i
\(747\) 26.3170 + 27.3831i 0.962888 + 1.00189i
\(748\) 6.74043 11.6748i 0.246455 0.426872i
\(749\) −0.904029 + 5.27687i −0.0330325 + 0.192813i
\(750\) 4.97231 + 0.704890i 0.181563 + 0.0257389i
\(751\) −20.5847 + 35.6538i −0.751147 + 1.30103i 0.196120 + 0.980580i \(0.437166\pi\)
−0.947267 + 0.320445i \(0.896167\pi\)
\(752\) 6.66591i 0.243081i
\(753\) 1.99497 14.0725i 0.0727006 0.512832i
\(754\) 15.5978 0.597798i 0.568037 0.0217705i
\(755\) −16.4572 −0.598937
\(756\) 6.04224 + 12.3487i 0.219754 + 0.449119i
\(757\) 2.12231 + 3.67595i 0.0771367 + 0.133605i 0.902013 0.431708i \(-0.142089\pi\)
−0.824877 + 0.565313i \(0.808756\pi\)
\(758\) 7.20866i 0.261830i
\(759\) −17.1569 2.43222i −0.622756 0.0882839i
\(760\) 13.3740 7.72151i 0.485128 0.280089i
\(761\) 44.7288i 1.62142i 0.585448 + 0.810710i \(0.300918\pi\)
−0.585448 + 0.810710i \(0.699082\pi\)
\(762\) −26.5645 + 10.6958i −0.962332 + 0.387467i
\(763\) 6.18389 36.0957i 0.223872 1.30675i
\(764\) −14.9297 + 8.61966i −0.540137 + 0.311848i
\(765\) 29.2709 7.22357i 1.05829 0.261169i
\(766\) 28.3175 + 16.3491i 1.02315 + 0.590719i
\(767\) −6.11031 9.70494i −0.220630 0.350425i
\(768\) −1.36360 1.06799i −0.0492045 0.0385378i
\(769\) −6.20113 10.7407i −0.223618 0.387318i 0.732286 0.680998i \(-0.238454\pi\)
−0.955904 + 0.293679i \(0.905120\pi\)
\(770\) 30.0797 11.1140i 1.08400 0.400521i
\(771\) 6.57914 46.4094i 0.236942 1.67139i
\(772\) −10.8338 + 6.25490i −0.389917 + 0.225119i
\(773\) 10.3101 5.95256i 0.370830 0.214099i −0.302991 0.952993i \(-0.597985\pi\)
0.673821 + 0.738895i \(0.264652\pi\)
\(774\) −12.8927 3.73038i −0.463417 0.134086i