Properties

Label 546.2.bi.f.17.8
Level $546$
Weight $2$
Character 546.17
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.bi (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 17.8
Character \(\chi\) \(=\) 546.17
Dual form 546.2.bi.f.257.8

$q$-expansion

\(f(q)\) \(=\) \(q+1.00000 q^{2} +(0.243110 + 1.71490i) q^{3} +1.00000 q^{4} +(-2.60318 + 1.50295i) q^{5} +(0.243110 + 1.71490i) q^{6} +(-2.60776 - 0.446759i) q^{7} +1.00000 q^{8} +(-2.88179 + 0.833822i) q^{9} +O(q^{10})\) \(q+1.00000 q^{2} +(0.243110 + 1.71490i) q^{3} +1.00000 q^{4} +(-2.60318 + 1.50295i) q^{5} +(0.243110 + 1.71490i) q^{6} +(-2.60776 - 0.446759i) q^{7} +1.00000 q^{8} +(-2.88179 + 0.833822i) q^{9} +(-2.60318 + 1.50295i) q^{10} +(2.01609 + 3.49197i) q^{11} +(0.243110 + 1.71490i) q^{12} +(0.138085 - 3.60291i) q^{13} +(-2.60776 - 0.446759i) q^{14} +(-3.21027 - 4.09883i) q^{15} +1.00000 q^{16} -3.34332 q^{17} +(-2.88179 + 0.833822i) q^{18} +(-2.56879 + 4.44927i) q^{19} +(-2.60318 + 1.50295i) q^{20} +(0.132177 - 4.58067i) q^{21} +(2.01609 + 3.49197i) q^{22} +2.48119i q^{23} +(0.243110 + 1.71490i) q^{24} +(2.01770 - 3.49476i) q^{25} +(0.138085 - 3.60291i) q^{26} +(-2.13052 - 4.73929i) q^{27} +(-2.60776 - 0.446759i) q^{28} +(3.74921 + 2.16461i) q^{29} +(-3.21027 - 4.09883i) q^{30} +(-2.95768 + 5.12285i) q^{31} +1.00000 q^{32} +(-5.49826 + 4.30633i) q^{33} -3.34332 q^{34} +(7.45993 - 2.75633i) q^{35} +(-2.88179 + 0.833822i) q^{36} -2.57002i q^{37} +(-2.56879 + 4.44927i) q^{38} +(6.21221 - 0.639101i) q^{39} +(-2.60318 + 1.50295i) q^{40} +(6.29653 + 3.63530i) q^{41} +(0.132177 - 4.58067i) q^{42} +(-2.23692 - 3.87445i) q^{43} +(2.01609 + 3.49197i) q^{44} +(6.24865 - 6.50178i) q^{45} +2.48119i q^{46} +(5.77285 - 3.33296i) q^{47} +(0.243110 + 1.71490i) q^{48} +(6.60081 + 2.33008i) q^{49} +(2.01770 - 3.49476i) q^{50} +(-0.812795 - 5.73348i) q^{51} +(0.138085 - 3.60291i) q^{52} +(8.50304 + 4.90923i) q^{53} +(-2.13052 - 4.73929i) q^{54} +(-10.4965 - 6.06015i) q^{55} +(-2.60776 - 0.446759i) q^{56} +(-8.25457 - 3.32356i) q^{57} +(3.74921 + 2.16461i) q^{58} +3.18073i q^{59} +(-3.21027 - 4.09883i) q^{60} +(-5.77255 - 3.33278i) q^{61} +(-2.95768 + 5.12285i) q^{62} +(7.88754 - 0.886937i) q^{63} +1.00000 q^{64} +(5.05552 + 9.58655i) q^{65} +(-5.49826 + 4.30633i) q^{66} +(7.04993 - 4.07028i) q^{67} -3.34332 q^{68} +(-4.25500 + 0.603202i) q^{69} +(7.45993 - 2.75633i) q^{70} +(0.436496 + 0.756034i) q^{71} +(-2.88179 + 0.833822i) q^{72} +(-6.78690 + 11.7553i) q^{73} -2.57002i q^{74} +(6.48371 + 2.61056i) 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} +(-2.60318 + 1.50295i) q^{80} +(7.60948 - 4.80581i) q^{81} +(6.29653 + 3.63530i) q^{82} +12.6597i q^{83} +(0.132177 - 4.58067i) q^{84} +(8.70327 - 5.02484i) q^{85} +(-2.23692 - 3.87445i) q^{86} +(-2.80062 + 6.95578i) q^{87} +(2.01609 + 3.49197i) q^{88} +3.63877i q^{89} +(6.24865 - 6.50178i) q^{90} +(-1.96972 + 9.33382i) q^{91} +2.48119i q^{92} +(-9.50424 - 3.82672i) q^{93} +(5.77285 - 3.33296i) q^{94} -15.4430i q^{95} +(0.243110 + 1.71490i) q^{96} +(1.10676 + 1.91696i) q^{97} +(6.60081 + 2.33008i) q^{98} +(-8.72163 - 8.38208i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q + 34q^{2} + 6q^{3} + 34q^{4} + 9q^{5} + 6q^{6} + 4q^{7} + 34q^{8} + 4q^{9} + O(q^{10}) \) \( 34q + 34q^{2} + 6q^{3} + 34q^{4} + 9q^{5} + 6q^{6} + 4q^{7} + 34q^{8} + 4q^{9} + 9q^{10} + 9q^{11} + 6q^{12} + 8q^{13} + 4q^{14} - 17q^{15} + 34q^{16} + 12q^{17} + 4q^{18} - 5q^{19} + 9q^{20} - 7q^{21} + 9q^{22} + 6q^{24} + 16q^{25} + 8q^{26} - 18q^{27} + 4q^{28} + 27q^{29} - 17q^{30} - q^{31} + 34q^{32} + 12q^{34} - 3q^{35} + 4q^{36} - 5q^{38} - 10q^{39} + 9q^{40} - 3q^{41} - 7q^{42} - 3q^{43} + 9q^{44} + 9q^{45} - 27q^{47} + 6q^{48} - 2q^{49} + 16q^{50} - 36q^{51} + 8q^{52} - 21q^{53} - 18q^{54} - 57q^{55} + 4q^{56} - 17q^{57} + 27q^{58} - 17q^{60} - 51q^{61} - q^{62} - 24q^{63} + 34q^{64} - 21q^{65} - 21q^{67} + 12q^{68} + 30q^{69} - 3q^{70} - 15q^{71} + 4q^{72} - 19q^{73} - 54q^{75} - 5q^{76} + 9q^{77} - 10q^{78} - 9q^{79} + 9q^{80} + 28q^{81} - 3q^{82} - 7q^{84} - 42q^{85} - 3q^{86} - 81q^{87} + 9q^{88} + 9q^{90} - 72q^{91} - 17q^{93} - 27q^{94} + 6q^{96} + 19q^{97} - 2q^{98} - 27q^{99} + O(q^{100}) \)

Character values

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00000 0.707107
\(3\) 0.243110 + 1.71490i 0.140360 + 0.990101i
\(4\) 1.00000 0.500000
\(5\) −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
\(7\) −2.60776 0.446759i −0.985640 0.168859i
\(8\) 1.00000 0.353553
\(9\) −2.88179 + 0.833822i −0.960598 + 0.277941i
\(10\) −2.60318 + 1.50295i −0.823198 + 0.475274i
\(11\) 2.01609 + 3.49197i 0.607873 + 1.05287i 0.991590 + 0.129417i \(0.0413105\pi\)
−0.383717 + 0.923451i \(0.625356\pi\)
\(12\) 0.243110 + 1.71490i 0.0701799 + 0.495050i
\(13\) 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
\(16\) 1.00000 0.250000
\(17\) −3.34332 −0.810874 −0.405437 0.914123i \(-0.632881\pi\)
−0.405437 + 0.914123i \(0.632881\pi\)
\(18\) −2.88179 + 0.833822i −0.679246 + 0.196534i
\(19\) −2.56879 + 4.44927i −0.589320 + 1.02073i 0.405001 + 0.914316i \(0.367271\pi\)
−0.994322 + 0.106417i \(0.966062\pi\)
\(20\) −2.60318 + 1.50295i −0.582089 + 0.336069i
\(21\) 0.132177 4.58067i 0.0288433 0.999584i
\(22\) 2.01609 + 3.49197i 0.429831 + 0.744490i
\(23\) 2.48119i 0.517363i 0.965963 + 0.258682i \(0.0832881\pi\)
−0.965963 + 0.258682i \(0.916712\pi\)
\(24\) 0.243110 + 1.71490i 0.0496247 + 0.350053i
\(25\) 2.01770 3.49476i 0.403541 0.698953i
\(26\) 0.138085 3.60291i 0.0270806 0.706588i
\(27\) −2.13052 4.73929i −0.410018 0.912077i
\(28\) −2.60776 0.446759i −0.492820 0.0844295i
\(29\) 3.74921 + 2.16461i 0.696211 + 0.401958i 0.805935 0.592005i \(-0.201663\pi\)
−0.109724 + 0.993962i \(0.534997\pi\)
\(30\) −3.21027 4.09883i −0.586113 0.748340i
\(31\) −2.95768 + 5.12285i −0.531215 + 0.920091i 0.468121 + 0.883664i \(0.344931\pi\)
−0.999336 + 0.0364270i \(0.988402\pi\)
\(32\) 1.00000 0.176777
\(33\) −5.49826 + 4.30633i −0.957124 + 0.749636i
\(34\) −3.34332 −0.573375
\(35\) 7.45993 2.75633i 1.26096 0.465905i
\(36\) −2.88179 + 0.833822i −0.480299 + 0.138970i
\(37\) 2.57002i 0.422509i −0.977431 0.211255i \(-0.932245\pi\)
0.977431 0.211255i \(-0.0677549\pi\)
\(38\) −2.56879 + 4.44927i −0.416712 + 0.721767i
\(39\) 6.21221 0.639101i 0.994750 0.102338i
\(40\) −2.60318 + 1.50295i −0.411599 + 0.237637i
\(41\) 6.29653 + 3.63530i 0.983352 + 0.567739i 0.903281 0.429050i \(-0.141152\pi\)
0.0800717 + 0.996789i \(0.474485\pi\)
\(42\) 0.132177 4.58067i 0.0203953 0.706813i
\(43\) −2.23692 3.87445i −0.341127 0.590849i 0.643516 0.765433i \(-0.277475\pi\)
−0.984642 + 0.174584i \(0.944142\pi\)
\(44\) 2.01609 + 3.49197i 0.303937 + 0.526434i
\(45\) 6.24865 6.50178i 0.931493 0.969227i
\(46\) 2.48119i 0.365831i
\(47\) 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
\(49\) 6.60081 + 2.33008i 0.942973 + 0.332869i
\(50\) 2.01770 3.49476i 0.285346 0.494234i
\(51\) −0.812795 5.73348i −0.113814 0.802847i
\(52\) 0.138085 3.60291i 0.0191489 0.499633i
\(53\) 8.50304 + 4.90923i 1.16798 + 0.674335i 0.953204 0.302327i \(-0.0977636\pi\)
0.214779 + 0.976663i \(0.431097\pi\)
\(54\) −2.13052 4.73929i −0.289927 0.644936i
\(55\) −10.4965 6.06015i −1.41535 0.817150i
\(56\) −2.60776 0.446759i −0.348476 0.0597007i
\(57\) −8.25457 3.32356i −1.09335 0.440217i
\(58\) 3.74921 + 2.16461i 0.492295 + 0.284227i
\(59\) 3.18073i 0.414096i 0.978331 + 0.207048i \(0.0663856\pi\)
−0.978331 + 0.207048i \(0.933614\pi\)
\(60\) −3.21027 4.09883i −0.414444 0.529156i
\(61\) −5.77255 3.33278i −0.739099 0.426719i 0.0826424 0.996579i \(-0.473664\pi\)
−0.821742 + 0.569860i \(0.806997\pi\)
\(62\) −2.95768 + 5.12285i −0.375626 + 0.650603i
\(63\) 7.88754 0.886937i 0.993737 0.111744i
\(64\) 1.00000 0.125000
\(65\) 5.05552 + 9.58655i 0.627060 + 1.18907i
\(66\) −5.49826 + 4.30633i −0.676789 + 0.530073i
\(67\) 7.04993 4.07028i 0.861286 0.497264i −0.00315695 0.999995i \(-0.501005\pi\)
0.864443 + 0.502732i \(0.167672\pi\)
\(68\) −3.34332 −0.405437
\(69\) −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 0.890764 0.454466i \(-0.150170\pi\)
−0.838961 + 0.544191i \(0.816837\pi\)
\(72\) −2.88179 + 0.833822i −0.339623 + 0.0982668i
\(73\) −6.78690 + 11.7553i −0.794347 + 1.37585i 0.128906 + 0.991657i \(0.458853\pi\)
−0.923253 + 0.384192i \(0.874480\pi\)
\(74\) 2.57002i 0.298759i
\(75\) 6.48371 + 2.61056i 0.748674 + 0.301441i
\(76\) −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 \(0.427169\pi\)
\(80\) −2.60318 + 1.50295i −0.291045 + 0.168035i
\(81\) 7.60948 4.80581i 0.845498 0.533978i
\(82\) 6.29653 + 3.63530i 0.695335 + 0.401452i
\(83\) 12.6597i 1.38958i 0.719211 + 0.694792i \(0.244504\pi\)
−0.719211 + 0.694792i \(0.755496\pi\)
\(84\) 0.132177 4.58067i 0.0144216 0.499792i
\(85\) 8.70327 5.02484i 0.944002 0.545020i
\(86\) −2.23692 3.87445i −0.241213 0.417793i
\(87\) −2.80062 + 6.95578i −0.300258 + 0.745738i
\(88\) 2.01609 + 3.49197i 0.214916 + 0.372245i
\(89\) 3.63877i 0.385709i 0.981227 + 0.192855i \(0.0617746\pi\)
−0.981227 + 0.192855i \(0.938225\pi\)
\(90\) 6.24865 6.50178i 0.658665 0.685347i
\(91\) −1.96972 + 9.33382i −0.206483 + 0.978450i
\(92\) 2.48119i 0.258682i
\(93\) −9.50424 3.82672i −0.985544 0.396812i
\(94\) 5.77285 3.33296i 0.595424 0.343768i
\(95\) 15.4430i 1.58442i
\(96\) 0.243110 + 1.71490i 0.0248123 + 0.175027i
\(97\) 1.10676 + 1.91696i 0.112374 + 0.194638i 0.916727 0.399514i \(-0.130821\pi\)
−0.804353 + 0.594152i \(0.797488\pi\)
\(98\) 6.60081 + 2.33008i 0.666783 + 0.235374i
\(99\) −8.72163 8.38208i −0.876557 0.842430i
\(100\) 2.01770 3.49476i 0.201770 0.349476i
\(101\) −6.53158 11.3130i −0.649917 1.12569i −0.983142 0.182842i \(-0.941470\pi\)
0.333226 0.942847i \(-0.391863\pi\)
\(102\) −0.812795 5.73348i −0.0804787 0.567699i
\(103\) 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
\(105\) 6.54043 + 12.1230i 0.638280 + 1.18308i
\(106\) 8.50304 + 4.90923i 0.825889 + 0.476827i
\(107\) 2.02353i 0.195622i −0.995205 0.0978109i \(-0.968816\pi\)
0.995205 0.0978109i \(-0.0311840\pi\)
\(108\) −2.13052 4.73929i −0.205009 0.456039i
\(109\) −11.9872 6.92083i −1.14817 0.662895i −0.199728 0.979851i \(-0.564006\pi\)
−0.948440 + 0.316956i \(0.897339\pi\)
\(110\) −10.4965 6.06015i −1.00080 0.577813i
\(111\) 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 −0.947302 0.320342i \(-0.896202\pi\)
−0.196227 + 0.980559i \(0.562869\pi\)
\(114\) −8.25457 3.32356i −0.773112 0.311280i
\(115\) −3.72910 6.45898i −0.347740 0.602303i
\(116\) 3.74921 + 2.16461i 0.348105 + 0.200979i
\(117\) 2.60625 + 10.4980i 0.240948 + 0.970538i
\(118\) 3.18073i 0.292810i
\(119\) 8.71857 + 1.49366i 0.799230 + 0.136924i
\(120\) −3.21027 4.09883i −0.293056 0.374170i
\(121\) −2.62922 + 4.55395i −0.239020 + 0.413995i
\(122\) −5.77255 3.33278i −0.522622 0.301736i
\(123\) −4.70344 + 11.6817i −0.424095 + 1.05331i
\(124\) −2.95768 + 5.12285i −0.265607 + 0.460046i
\(125\) 2.89947i 0.259336i
\(126\) 7.88754 0.886937i 0.702678 0.0790146i
\(127\) 8.26677 14.3185i 0.733558 1.27056i −0.221796 0.975093i \(-0.571192\pi\)
0.955353 0.295466i \(-0.0954748\pi\)
\(128\) 1.00000 0.0883883
\(129\) 6.10050 4.77802i 0.537119 0.420681i
\(130\) 5.05552 + 9.58655i 0.443398 + 0.840796i
\(131\) 4.18649 + 7.25122i 0.365776 + 0.633542i 0.988900 0.148581i \(-0.0474705\pi\)
−0.623125 + 0.782122i \(0.714137\pi\)
\(132\) −5.49826 + 4.30633i −0.478562 + 0.374818i
\(133\) 8.68653 10.4550i 0.753218 0.906563i
\(134\) 7.04993 4.07028i 0.609021 0.351618i
\(135\) 12.6690 + 9.13518i 1.09038 + 0.786231i
\(136\) −3.34332 −0.286687
\(137\) −20.8869 −1.78449 −0.892244 0.451553i \(-0.850870\pi\)
−0.892244 + 0.451553i \(0.850870\pi\)
\(138\) −4.25500 + 0.603202i −0.362210 + 0.0513480i
\(139\) 12.4500 7.18799i 1.05599 0.609677i 0.131671 0.991293i \(-0.457966\pi\)
0.924321 + 0.381616i \(0.124632\pi\)
\(140\) 7.45993 2.75633i 0.630479 0.232952i
\(141\) 7.11914 + 9.08961i 0.599540 + 0.765483i
\(142\) 0.436496 + 0.756034i 0.0366300 + 0.0634450i
\(143\) 12.8596 6.78159i 1.07538 0.567105i
\(144\) −2.88179 + 0.833822i −0.240150 + 0.0694851i
\(145\) −13.0132 −1.08068
\(146\) −6.78690 + 11.7553i −0.561688 + 0.972872i
\(147\) −2.39114 + 11.8862i −0.197218 + 0.980360i
\(148\) 2.57002i 0.211255i
\(149\) −4.93899 + 8.55458i −0.404618 + 0.700818i −0.994277 0.106834i \(-0.965929\pi\)
0.589659 + 0.807652i \(0.299262\pi\)
\(150\) 6.48371 + 2.61056i 0.529393 + 0.213151i
\(151\) −4.74145 2.73748i −0.385854 0.222773i 0.294508 0.955649i \(-0.404844\pi\)
−0.680362 + 0.732876i \(0.738178\pi\)
\(152\) −2.56879 + 4.44927i −0.208356 + 0.360884i
\(153\) 9.63476 2.78773i 0.778925 0.225375i
\(154\) −3.69740 10.0069i −0.297945 0.806380i
\(155\) 17.7809i 1.42820i
\(156\) 6.21221 0.639101i 0.497375 0.0511691i
\(157\) −7.68837 4.43888i −0.613598 0.354261i 0.160774 0.986991i \(-0.448601\pi\)
−0.774372 + 0.632730i \(0.781934\pi\)
\(158\) 8.50477 + 14.7307i 0.676603 + 1.17191i
\(159\) −6.35169 + 15.7754i −0.503722 + 1.25107i
\(160\) −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
\(163\) 4.75335 + 2.74435i 0.372311 + 0.214954i 0.674468 0.738304i \(-0.264373\pi\)
−0.302157 + 0.953258i \(0.597707\pi\)
\(164\) 6.29653 + 3.63530i 0.491676 + 0.283869i
\(165\) 7.84078 19.4738i 0.610404 1.51603i
\(166\) 12.6597i 0.982584i
\(167\) 3.01387 + 1.74006i 0.233221 + 0.134650i 0.612057 0.790814i \(-0.290342\pi\)
−0.378836 + 0.925464i \(0.623676\pi\)
\(168\) 0.132177 4.58067i 0.0101976 0.353406i
\(169\) −12.9619 0.995011i −0.997067 0.0765393i
\(170\) 8.70327 5.02484i 0.667510 0.385387i
\(171\) 3.69282 14.9638i 0.282397 1.14431i
\(172\) −2.23692 3.87445i −0.170563 0.295424i
\(173\) 5.87790 10.1808i 0.446888 0.774033i −0.551293 0.834311i \(-0.685866\pi\)
0.998182 + 0.0602784i \(0.0191989\pi\)
\(174\) −2.80062 + 6.95578i −0.212315 + 0.527316i
\(175\) −6.82300 + 8.21208i −0.515770 + 0.620775i
\(176\) 2.01609 + 3.49197i 0.151968 + 0.263217i
\(177\) −5.45465 + 0.773268i −0.409997 + 0.0581224i
\(178\) 3.63877i 0.272738i
\(179\) −9.26309 + 5.34805i −0.692356 + 0.399732i −0.804494 0.593961i \(-0.797563\pi\)
0.112138 + 0.993693i \(0.464230\pi\)
\(180\) 6.24865 6.50178i 0.465747 0.484614i
\(181\) 15.8900i 1.18110i −0.807002 0.590549i \(-0.798911\pi\)
0.807002 0.590549i \(-0.201089\pi\)
\(182\) −1.96972 + 9.33382i −0.146006 + 0.691869i
\(183\) 4.31204 10.7096i 0.318755 0.791677i
\(184\) 2.48119i 0.182916i
\(185\) 3.86261 + 6.69024i 0.283985 + 0.491876i
\(186\) −9.50424 3.82672i −0.696885 0.280589i
\(187\) −6.74043 11.6748i −0.492909 0.853743i
\(188\) 5.77285 3.33296i 0.421028 0.243081i
\(189\) 3.43855 + 13.3108i 0.250118 + 0.968215i
\(190\) 15.4430i 1.12035i
\(191\) −14.9297 8.61966i −1.08027 0.623697i −0.149304 0.988791i \(-0.547703\pi\)
−0.930970 + 0.365095i \(0.881037\pi\)
\(192\) 0.243110 + 1.71490i 0.0175450 + 0.123763i
\(193\) 10.8338 6.25490i 0.779834 0.450237i −0.0565375 0.998400i \(-0.518006\pi\)
0.836371 + 0.548163i \(0.184673\pi\)
\(194\) 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 −0.990783 0.135461i \(-0.956748\pi\)
0.612704 + 0.790313i \(0.290082\pi\)
\(198\) −8.72163 8.38208i −0.619819 0.595688i
\(199\) 7.58421i 0.537630i 0.963192 + 0.268815i \(0.0866320\pi\)
−0.963192 + 0.268815i \(0.913368\pi\)
\(200\) 2.01770 3.49476i 0.142673 0.247117i
\(201\) 8.69405 + 11.1004i 0.613231 + 0.782964i
\(202\) −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
\(205\) −21.8547 −1.52640
\(206\) 14.8587 8.57869i 1.03526 0.597706i
\(207\) −2.06887 7.15027i −0.143796 0.496978i
\(208\) 0.138085 3.60291i 0.00957444 0.249817i
\(209\) −20.7156 −1.43293
\(210\) 6.54043 + 12.1230i 0.451332 + 0.836564i
\(211\) 5.81722 10.0757i 0.400474 0.693641i −0.593309 0.804975i \(-0.702179\pi\)
0.993783 + 0.111334i \(0.0355123\pi\)
\(212\) 8.50304 + 4.90923i 0.583991 + 0.337168i
\(213\) −1.19041 + 0.932349i −0.0815655 + 0.0638835i
\(214\) 2.02353i 0.138325i
\(215\) 11.6462 + 6.72394i 0.794264 + 0.458569i
\(216\) −2.13052 4.73929i −0.144963 0.322468i
\(217\) 10.0016 12.0378i 0.678953 0.817178i
\(218\) −11.9872 6.92083i −0.811877 0.468738i
\(219\) −21.8091 8.78107i −1.47372 0.593369i
\(220\) −10.4965 6.06015i −0.707673 0.408575i
\(221\) −0.461661 + 12.0457i −0.0310547 + 0.810280i
\(222\) 4.40734 0.624799i 0.295802 0.0419337i
\(223\) −0.696107 + 1.20569i −0.0466148 + 0.0807391i −0.888391 0.459087i \(-0.848177\pi\)
0.841777 + 0.539826i \(0.181510\pi\)
\(224\) −2.60776 0.446759i −0.174238 0.0298504i
\(225\) −2.90060 + 11.7536i −0.193373 + 0.783573i
\(226\) −12.1559 + 7.01820i −0.808597 + 0.466844i
\(227\) 7.24063i 0.480577i 0.970701 + 0.240289i \(0.0772421\pi\)
−0.970701 + 0.240289i \(0.922758\pi\)
\(228\) −8.25457 3.32356i −0.546673 0.220108i
\(229\) 12.0113 + 20.8043i 0.793732 + 1.37478i 0.923641 + 0.383258i \(0.125198\pi\)
−0.129909 + 0.991526i \(0.541469\pi\)
\(230\) −3.72910 6.45898i −0.245889 0.425893i
\(231\) 16.2620 8.77348i 1.06996 0.577252i
\(232\) 3.74921 + 2.16461i 0.246148 + 0.142113i
\(233\) 3.29311 1.90128i 0.215739 0.124557i −0.388237 0.921560i \(-0.626916\pi\)
0.603976 + 0.797003i \(0.293582\pi\)
\(234\) 2.60625 + 10.4980i 0.170376 + 0.686274i
\(235\) −10.0185 + 17.3526i −0.653536 + 1.13196i
\(236\) 3.18073i 0.207048i
\(237\) −23.1941 + 18.1661i −1.50662 + 1.18001i
\(238\) 8.71857 + 1.49366i 0.565141 + 0.0968195i
\(239\) 8.77151 0.567382 0.283691 0.958916i \(-0.408441\pi\)
0.283691 + 0.958916i \(0.408441\pi\)
\(240\) −3.21027 4.09883i −0.207222 0.264578i
\(241\) 5.66694 0.365040 0.182520 0.983202i \(-0.441575\pi\)
0.182520 + 0.983202i \(0.441575\pi\)
\(242\) −2.62922 + 4.55395i −0.169013 + 0.292739i
\(243\) 10.0914 + 11.8812i 0.647366 + 0.762179i
\(244\) −5.77255 3.33278i −0.369550 0.213360i
\(245\) −20.6851 + 3.85505i −1.32152 + 0.246290i
\(246\) −4.70344 + 11.6817i −0.299881 + 0.744799i
\(247\) 15.6756 + 9.86948i 0.997414 + 0.627980i
\(248\) −2.95768 + 5.12285i −0.187813 + 0.325301i
\(249\) −21.7102 + 3.07771i −1.37583 + 0.195042i
\(250\) 2.89947i 0.183378i
\(251\) −4.10301 7.10662i −0.258980 0.448566i 0.706989 0.707224i \(-0.250053\pi\)
−0.965969 + 0.258658i \(0.916720\pi\)
\(252\) 7.88754 0.886937i 0.496869 0.0558718i
\(253\) −8.66423 + 5.00229i −0.544715 + 0.314491i
\(254\) 8.26677 14.3185i 0.518703 0.898421i
\(255\) 10.7330 + 13.7037i 0.672125 + 0.858158i
\(256\) 1.00000 0.0625000
\(257\) 27.0624 1.68810 0.844052 0.536261i \(-0.180164\pi\)
0.844052 + 0.536261i \(0.180164\pi\)
\(258\) 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
\(261\) −12.6094 3.11178i −0.780499 0.192615i
\(262\) 4.18649 + 7.25122i 0.258642 + 0.447982i
\(263\) 12.6627 7.31080i 0.780814 0.450803i −0.0559046 0.998436i \(-0.517804\pi\)
0.836719 + 0.547633i \(0.184471\pi\)
\(264\) −5.49826 + 4.30633i −0.338394 + 0.265036i
\(265\) −29.5133 −1.81299
\(266\) 8.68653 10.4550i 0.532606 0.641037i
\(267\) −6.24015 + 0.884623i −0.381891 + 0.0541380i
\(268\) 7.04993 4.07028i 0.430643 0.248632i
\(269\) −28.7012 −1.74994 −0.874970 0.484177i \(-0.839119\pi\)
−0.874970 + 0.484177i \(0.839119\pi\)
\(270\) 12.6690 + 9.13518i 0.771013 + 0.555949i
\(271\) 7.22007 0.438588 0.219294 0.975659i \(-0.429625\pi\)
0.219294 + 0.975659i \(0.429625\pi\)
\(272\) −3.34332 −0.202719
\(273\) −16.4855 1.10874i −0.997746 0.0671040i
\(274\) −20.8869 −1.26182
\(275\) 16.2715 0.981207
\(276\) −4.25500 + 0.603202i −0.256121 + 0.0363085i
\(277\) 20.2042 1.21395 0.606976 0.794720i \(-0.292382\pi\)
0.606976 + 0.794720i \(0.292382\pi\)
\(278\) 12.4500 7.18799i 0.746699 0.431107i
\(279\) 4.25188 17.2292i 0.254554 1.03148i
\(280\) 7.45993 2.75633i 0.445816 0.164722i
\(281\) −5.71978 −0.341214 −0.170607 0.985339i \(-0.554573\pi\)
−0.170607 + 0.985339i \(0.554573\pi\)
\(282\) 7.11914 + 9.08961i 0.423939 + 0.541278i
\(283\) −2.40181 + 1.38668i −0.142773 + 0.0824298i −0.569685 0.821863i \(-0.692935\pi\)
0.426912 + 0.904293i \(0.359601\pi\)
\(284\) 0.436496 + 0.756034i 0.0259013 + 0.0448624i
\(285\) 26.4833 3.75435i 1.56874 0.222389i
\(286\) 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
\(289\) −5.82221 −0.342483
\(290\) −13.0132 −0.764160
\(291\) −3.01834 + 2.36402i −0.176938 + 0.138581i
\(292\) −6.78690 + 11.7553i −0.397173 + 0.687925i
\(293\) 11.4769 6.62619i 0.670488 0.387106i −0.125774 0.992059i \(-0.540141\pi\)
0.796261 + 0.604953i \(0.206808\pi\)
\(294\) −2.39114 + 11.8862i −0.139454 + 0.693219i
\(295\) −4.78047 8.28002i −0.278330 0.482082i
\(296\) 2.57002i 0.149380i
\(297\) 12.2541 16.9945i 0.711057 0.986123i
\(298\) −4.93899 + 8.55458i −0.286108 + 0.495553i
\(299\) 8.93949 + 0.342614i 0.516984 + 0.0198139i
\(300\) 6.48371 + 2.61056i 0.374337 + 0.150720i
\(301\) 4.10239 + 11.1030i 0.236458 + 0.639966i
\(302\) −4.74145 2.73748i −0.272840 0.157524i
\(303\) 17.8129 13.9514i 1.02332 0.801484i
\(304\) −2.56879 + 4.44927i −0.147330 + 0.255183i
\(305\) 20.0360 1.14726
\(306\) 9.63476 2.78773i 0.550783 0.159364i
\(307\) −20.2861 −1.15779 −0.578894 0.815403i \(-0.696516\pi\)
−0.578894 + 0.815403i \(0.696516\pi\)
\(308\) −3.69740 10.0069i −0.210679 0.570197i
\(309\) 18.3239 + 23.3957i 1.04241 + 1.33094i
\(310\) 17.7809i 1.00989i
\(311\) −8.05505 + 13.9518i −0.456760 + 0.791131i −0.998788 0.0492293i \(-0.984323\pi\)
0.542028 + 0.840361i \(0.317657\pi\)
\(312\) 6.21221 0.639101i 0.351697 0.0361820i
\(313\) −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
\(315\) −19.1997 + 14.1634i −1.08178 + 0.798018i
\(316\) 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 \(0.570274\pi\)
\(318\) −6.35169 + 15.7754i −0.356185 + 0.884640i
\(319\) 17.4562i 0.977357i
\(320\) −2.60318 + 1.50295i −0.145522 + 0.0840173i
\(321\) 3.47016 0.491940i 0.193685 0.0274574i
\(322\) 1.10849 6.47034i 0.0617739 0.360578i
\(323\) 8.58828 14.8753i 0.477865 0.827686i
\(324\) 7.60948 4.80581i 0.422749 0.266989i
\(325\) −12.3127 7.75217i −0.682985 0.430013i
\(326\) 4.75335 + 2.74435i 0.263264 + 0.151995i
\(327\) 8.95434 22.2395i 0.495176 1.22985i
\(328\) 6.29653 + 3.63530i 0.347668 + 0.200726i
\(329\) −16.5432 + 6.11247i −0.912058 + 0.336992i
\(330\) 7.84078 19.4738i 0.431620 1.07200i
\(331\) −11.7438 6.78028i −0.645497 0.372678i 0.141232 0.989977i \(-0.454894\pi\)
−0.786729 + 0.617299i \(0.788227\pi\)
\(332\) 12.6597i 0.694792i
\(333\) 2.14294 + 7.40628i 0.117432 + 0.405862i
\(334\) 3.01387 + 1.74006i 0.164912 + 0.0952119i
\(335\) −12.2348 + 21.1913i −0.668460 + 1.15781i
\(336\) 0.132177 4.58067i 0.00721082 0.249896i
\(337\) 9.84727 0.536415 0.268208 0.963361i \(-0.413569\pi\)
0.268208 + 0.963361i \(0.413569\pi\)
\(338\) −12.9619 0.995011i −0.705033 0.0541215i
\(339\) −14.9908 19.1400i −0.814186 1.03954i
\(340\) 8.70327 5.02484i 0.472001 0.272510i
\(341\) −23.8518 −1.29165
\(342\) 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
\(345\) 10.1700 7.96529i 0.547532 0.428837i
\(346\) 5.87790 10.1808i 0.315998 0.547324i
\(347\) 27.2395i 1.46229i 0.682221 + 0.731146i \(0.261014\pi\)
−0.682221 + 0.731146i \(0.738986\pi\)
\(348\) −2.80062 + 6.95578i −0.150129 + 0.372869i
\(349\) −6.39541 + 11.0772i −0.342339 + 0.592948i −0.984867 0.173314i \(-0.944552\pi\)
0.642528 + 0.766262i \(0.277886\pi\)
\(350\) −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
\(353\) −6.71764 + 3.87843i −0.357544 + 0.206428i −0.668003 0.744159i \(-0.732851\pi\)
0.310459 + 0.950587i \(0.399517\pi\)
\(354\) −5.45465 + 0.773268i −0.289911 + 0.0410987i
\(355\) −2.27256 1.31206i −0.120615 0.0696370i
\(356\) 3.63877i 0.192855i
\(357\) −0.441909 + 15.3146i −0.0233883 + 0.810537i
\(358\) −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 \(0.822408\pi\)
\(360\) 6.24865 6.50178i 0.329333 0.342674i
\(361\) −3.69734 6.40399i −0.194597 0.337052i
\(362\) 15.8900i 0.835162i
\(363\) −8.44878 3.40176i −0.443446 0.178546i
\(364\) −1.96972 + 9.33382i −0.103242 + 0.489225i
\(365\) 40.8014i 2.13564i
\(366\) 4.31204 10.7096i 0.225394 0.559800i
\(367\) 18.2652 10.5454i 0.953437 0.550467i 0.0592901 0.998241i \(-0.481116\pi\)
0.894147 + 0.447774i \(0.147783\pi\)
\(368\) 2.48119i 0.129341i
\(369\) −21.1765 5.22601i −1.10240 0.272055i
\(370\) 3.86261 + 6.69024i 0.200808 + 0.347809i
\(371\) −19.9806 16.6009i −1.03734 0.861877i
\(372\) −9.50424 3.82672i −0.492772 0.198406i
\(373\) −11.0125 + 19.0742i −0.570206 + 0.987625i 0.426339 + 0.904564i \(0.359803\pi\)
−0.996544 + 0.0830618i \(0.973530\pi\)
\(374\) −6.74043 11.6748i −0.348539 0.603688i
\(375\) 4.97231 0.704890i 0.256769 0.0364004i
\(376\) 5.77285 3.33296i 0.297712 0.171884i
\(377\) 8.31659 13.2092i 0.428326 0.680306i
\(378\) 3.43855 + 13.3108i 0.176860 + 0.684632i
\(379\) 6.24288 + 3.60433i 0.320675 + 0.185142i 0.651694 0.758482i \(-0.274059\pi\)
−0.331018 + 0.943624i \(0.607392\pi\)
\(380\) 15.4430i 0.792210i
\(381\) 26.5645 + 10.6958i 1.36094 + 0.547960i
\(382\) −14.9297 8.61966i −0.763869 0.441020i
\(383\) 28.3175 + 16.3491i 1.44696 + 0.835402i 0.998299 0.0583003i \(-0.0185681\pi\)
0.448660 + 0.893703i \(0.351901\pi\)
\(384\) 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
\(387\) 9.67694 + 9.30019i 0.491906 + 0.472755i
\(388\) 1.10676 + 1.91696i 0.0561872 + 0.0973190i
\(389\) −24.6307 14.2206i −1.24883 0.721012i −0.277953 0.960595i \(-0.589656\pi\)
−0.970876 + 0.239583i \(0.922989\pi\)
\(390\) −15.2110 + 11.0003i −0.770238 + 0.557023i
\(391\) 8.29541i 0.419517i
\(392\) 6.60081 + 2.33008i 0.333391 + 0.117687i
\(393\) −11.4174 + 8.94228i −0.575930 + 0.451078i
\(394\) −5.30659 + 9.19128i −0.267342 + 0.463050i
\(395\) −44.2789 25.5645i −2.22792 1.28629i
\(396\) −8.72163 8.38208i −0.438278 0.421215i
\(397\) 10.0412 17.3918i 0.503952 0.872871i −0.496037 0.868301i \(-0.665212\pi\)
0.999990 0.00456967i \(-0.00145458\pi\)
\(398\) 7.58421i 0.380162i
\(399\) 20.0411 + 12.3549i 1.00331 + 0.618517i
\(400\) 2.01770 3.49476i 0.100885 0.174738i
\(401\) −5.32156 −0.265746 −0.132873 0.991133i \(-0.542420\pi\)
−0.132873 + 0.991133i \(0.542420\pi\)
\(402\) 8.69405 + 11.1004i 0.433620 + 0.553639i
\(403\) 18.0487 + 11.3636i 0.899072 + 0.566063i
\(404\) −6.53158 11.3130i −0.324958 0.562844i
\(405\) −12.5860 + 23.9470i −0.625403 + 1.18994i
\(406\) −8.80998 7.31977i −0.437232 0.363274i
\(407\) 8.97444 5.18139i 0.444846 0.256832i
\(408\) −0.812795 5.73348i −0.0402394 0.283849i
\(409\) 17.5007 0.865356 0.432678 0.901548i \(-0.357569\pi\)
0.432678 + 0.901548i \(0.357569\pi\)
\(410\) −21.8547 −1.07933
\(411\) −5.07782 35.8191i −0.250470 1.76682i
\(412\) 14.8587 8.57869i 0.732037 0.422642i
\(413\) 1.42102 8.29458i 0.0699239 0.408150i
\(414\) −2.06887 7.15027i −0.101679 0.351417i
\(415\) −19.0269 32.9555i −0.933993 1.61772i
\(416\) 0.138085 3.60291i 0.00677015 0.176647i
\(417\) 15.3534 + 19.6030i 0.751861 + 0.959964i
\(418\) −20.7156 −1.01323
\(419\) 11.9702 20.7329i 0.584780 1.01287i −0.410122 0.912030i \(-0.634514\pi\)
0.994903 0.100839i \(-0.0321526\pi\)
\(420\) 6.54043 + 12.1230i 0.319140 + 0.591540i
\(421\) 18.4384i 0.898634i 0.893372 + 0.449317i \(0.148333\pi\)
−0.893372 + 0.449317i \(0.851667\pi\)
\(422\) 5.81722 10.0757i 0.283178 0.490478i
\(423\) −13.8571 + 14.4184i −0.673754 + 0.701048i
\(424\) 8.50304 + 4.90923i 0.412944 + 0.238414i
\(425\) −6.74583 + 11.6841i −0.327221 + 0.566763i
\(426\) −1.19041 + 0.932349i −0.0576755 + 0.0451725i
\(427\) 13.5645 + 11.2700i 0.656431 + 0.545395i
\(428\) 2.02353i 0.0978109i
\(429\) 14.7561 + 20.4043i 0.712430 + 0.985131i
\(430\) 11.6462 + 6.72394i 0.561630 + 0.324257i
\(431\) 7.38913 + 12.7984i 0.355922 + 0.616475i 0.987275 0.159020i \(-0.0508335\pi\)
−0.631353 + 0.775495i \(0.717500\pi\)
\(432\) −2.13052 4.73929i −0.102505 0.228019i
\(433\) 24.1602 13.9489i 1.16107 0.670342i 0.209507 0.977807i \(-0.432814\pi\)
0.951559 + 0.307465i \(0.0994807\pi\)
\(434\) 10.0016 12.0378i 0.480092 0.577832i
\(435\) −3.16363 22.3163i −0.151685 1.06999i
\(436\) −11.9872 6.92083i −0.574084 0.331447i
\(437\) −11.0395 6.37365i −0.528090 0.304893i
\(438\) −21.8091 8.78107i −1.04208 0.419576i
\(439\) 6.20525i 0.296160i 0.988975 + 0.148080i \(0.0473094\pi\)
−0.988975 + 0.148080i \(0.952691\pi\)
\(440\) −10.4965 6.06015i −0.500400 0.288906i
\(441\) −20.9651 1.21091i −0.998336 0.0576626i
\(442\) −0.461661 + 12.0457i −0.0219590 + 0.572954i
\(443\) −5.47785 + 3.16264i −0.260261 + 0.150261i −0.624453 0.781062i \(-0.714678\pi\)
0.364193 + 0.931324i \(0.381345\pi\)
\(444\) 4.40734 0.624799i 0.209163 0.0296516i
\(445\) −5.46888 9.47239i −0.259250 0.449034i
\(446\) −0.696107 + 1.20569i −0.0329616 + 0.0570912i
\(447\) −15.8710 6.39019i −0.750672 0.302245i
\(448\) −2.60776 0.446759i −0.123205 0.0211074i
\(449\) 17.8544 + 30.9247i 0.842600 + 1.45943i 0.887689 + 0.460444i \(0.152310\pi\)
−0.0450883 + 0.998983i \(0.514357\pi\)
\(450\) −2.90060 + 11.7536i −0.136735 + 0.554070i
\(451\) 29.3164i 1.38045i
\(452\) −12.1559 + 7.01820i −0.571764 + 0.330108i
\(453\) 3.54182 8.79665i 0.166409 0.413303i
\(454\) 7.24063i 0.339819i
\(455\) −8.90070 27.2580i −0.417271 1.27788i
\(456\) −8.25457 3.32356i −0.386556 0.155640i
\(457\) 2.30897i 0.108009i −0.998541 0.0540045i \(-0.982801\pi\)
0.998541 0.0540045i \(-0.0171985\pi\)
\(458\) 12.0113 + 20.8043i 0.561253 + 0.972119i
\(459\) 7.12301 + 15.8450i 0.332473 + 0.739580i
\(460\) −3.72910 6.45898i −0.173870 0.301152i
\(461\) 30.3853 17.5430i 1.41519 0.817058i 0.419315 0.907841i \(-0.362270\pi\)
0.995871 + 0.0907832i \(0.0289370\pi\)
\(462\) 16.2620 8.77348i 0.756578 0.408179i
\(463\) 34.0752i 1.58361i −0.610776 0.791804i \(-0.709142\pi\)
0.610776 0.791804i \(-0.290858\pi\)
\(464\) 3.74921 + 2.16461i 0.174053 + 0.100489i
\(465\) 30.4926 4.32273i 1.41406 0.200462i
\(466\) 3.29311 1.90128i 0.152550 0.0880751i
\(467\) −17.7900 30.8133i −0.823225 1.42587i −0.903268 0.429076i \(-0.858839\pi\)
0.0800430 0.996791i \(-0.474494\pi\)
\(468\) 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
\(471\) 5.74314 14.2640i 0.264630 0.657248i
\(472\) 3.18073i 0.146405i
\(473\) 9.01964 15.6225i 0.414724 0.718322i
\(474\) −23.1941 + 18.1661i −1.06534 + 0.834395i
\(475\) 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
\(478\) 8.77151 0.401199
\(479\) −6.44067 + 3.71852i −0.294282 + 0.169904i −0.639871 0.768482i \(-0.721012\pi\)
0.345590 + 0.938386i \(0.387679\pi\)
\(480\) −3.21027 4.09883i −0.146528 0.187085i
\(481\) −9.25955 0.354881i −0.422199 0.0161812i
\(482\) 5.66694 0.258122
\(483\) 11.3655 + 0.327955i 0.517148 + 0.0149225i
\(484\) −2.62922 + 4.55395i −0.119510 + 0.206998i
\(485\) −5.76219 3.32680i −0.261647 0.151062i
\(486\) 10.0914 + 11.8812i 0.457757 + 0.538942i
\(487\) 17.9702i 0.814309i −0.913359 0.407154i \(-0.866521\pi\)
0.913359 0.407154i \(-0.133479\pi\)
\(488\) −5.77255 3.33278i −0.261311 0.150868i
\(489\) −3.55071 + 8.81872i −0.160569 + 0.398796i
\(490\) −20.6851 + 3.85505i −0.934458 + 0.174154i
\(491\) −2.56980 1.48368i −0.115974 0.0669573i 0.440891 0.897561i \(-0.354662\pi\)
−0.556865 + 0.830603i \(0.687996\pi\)
\(492\) −4.70344 + 11.6817i −0.212048 + 0.526653i
\(493\) −12.5348 7.23698i −0.564540 0.325937i
\(494\) 15.6756 + 9.86948i 0.705278 + 0.444049i
\(495\) 35.3018 + 8.71191i 1.58670 + 0.391571i
\(496\) −2.95768 + 5.12285i −0.132804 + 0.230023i
\(497\) −0.800512 2.16656i −0.0359079 0.0971836i
\(498\) −21.7102 + 3.07771i −0.972857 + 0.137915i
\(499\) 14.4827 8.36158i 0.648334 0.374316i −0.139484 0.990224i \(-0.544544\pi\)
0.787818 + 0.615909i \(0.211211\pi\)
\(500\) 2.89947i 0.129668i
\(501\) −2.25133 + 5.59153i −0.100582 + 0.249811i
\(502\) −4.10301 7.10662i −0.183126 0.317184i
\(503\) 13.2712 + 22.9863i 0.591732 + 1.02491i 0.993999 + 0.109387i \(0.0348888\pi\)
−0.402268 + 0.915522i \(0.631778\pi\)
\(504\) 7.88754 0.886937i 0.351339 0.0395073i
\(505\) 34.0058 + 19.6333i 1.51324 + 0.873668i
\(506\) −8.66423 + 5.00229i −0.385172 + 0.222379i
\(507\) −1.44481 22.4703i −0.0641663 0.997939i
\(508\) 8.26677 14.3185i 0.366779 0.635279i
\(509\) 4.93479i 0.218731i −0.994002 0.109365i \(-0.965118\pi\)
0.994002 0.109365i \(-0.0348818\pi\)
\(510\) 10.7330 + 13.7037i 0.475264 + 0.606810i
\(511\) 22.9504 27.6228i 1.01526 1.22196i
\(512\) 1.00000 0.0441942
\(513\) 26.5592 + 2.69499i 1.17262 + 0.118987i
\(514\) 27.0624 1.19367
\(515\) −25.7866 + 44.6638i −1.13630 + 1.96812i
\(516\) 6.10050 4.77802i 0.268560 0.210340i
\(517\) 23.2772 + 13.4391i 1.02373 + 0.591050i
\(518\) −1.14818 + 6.70200i −0.0504482 + 0.294469i
\(519\) 18.8881 + 7.60497i 0.829096 + 0.333821i
\(520\) 5.05552 + 9.58655i 0.221699 + 0.420398i
\(521\) −3.36581 + 5.82976i −0.147459 + 0.255407i −0.930288 0.366831i \(-0.880443\pi\)
0.782829 + 0.622237i \(0.213776\pi\)
\(522\) −12.6094 3.11178i −0.551896 0.136199i
\(523\) 39.2355i 1.71565i 0.513942 + 0.857825i \(0.328185\pi\)
−0.513942 + 0.857825i \(0.671815\pi\)
\(524\) 4.18649 + 7.25122i 0.182888 + 0.316771i
\(525\) −15.7417 9.70436i −0.687023 0.423533i
\(526\) 12.6627 7.31080i 0.552119 0.318766i
\(527\) 9.88847 17.1273i 0.430749 0.746078i
\(528\) −5.49826 + 4.30633i −0.239281 + 0.187409i
\(529\) 16.8437 0.732335
\(530\) −29.5133 −1.28198
\(531\) −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
\(534\) −6.24015 + 0.884623i −0.270038 + 0.0382814i
\(535\) 3.04126 + 5.26761i 0.131485 + 0.227739i
\(536\) 7.04993 4.07028i 0.304510 0.175809i
\(537\) −11.4233 14.5851i −0.492954 0.629396i
\(538\) −28.7012 −1.23739
\(539\) 5.17126 + 27.7475i 0.222742 + 1.19517i
\(540\) 12.6690 + 9.13518i 0.545188 + 0.393116i
\(541\) 23.6391 13.6481i 1.01633 0.586776i 0.103288 0.994652i \(-0.467064\pi\)
0.913037 + 0.407876i \(0.133730\pi\)
\(542\) 7.22007 0.310129
\(543\) 27.2499 3.86303i 1.16941 0.165779i
\(544\) −3.34332 −0.143344
\(545\) 41.6066 1.78223
\(546\) −16.4855 1.10874i −0.705513 0.0474497i
\(547\) 31.5392 1.34852 0.674259 0.738495i \(-0.264463\pi\)
0.674259 + 0.738495i \(0.264463\pi\)
\(548\) −20.8869 −0.892244
\(549\) 19.4143 + 4.79112i 0.828580 + 0.204480i
\(550\) 16.2715 0.693818
\(551\) −19.2619 + 11.1208i −0.820583 + 0.473764i
\(552\) −4.25500 + 0.603202i −0.181105 + 0.0256740i
\(553\) −15.5973 42.2137i −0.663266 1.79511i
\(554\) 20.2042 0.858394
\(555\) −10.5341 + 8.25047i −0.447147 + 0.350213i
\(556\) 12.4500 7.18799i 0.527996 0.304839i
\(557\) 2.63266 + 4.55989i 0.111549 + 0.193209i 0.916395 0.400275i \(-0.131085\pi\)
−0.804846 + 0.593484i \(0.797752\pi\)
\(558\) 4.25188 17.2292i 0.179997 0.729369i
\(559\) −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
\(562\) −5.71978 −0.241275
\(563\) 42.1634 1.77698 0.888489 0.458898i \(-0.151756\pi\)
0.888489 + 0.458898i \(0.151756\pi\)
\(564\) 7.11914 + 9.08961i 0.299770 + 0.382742i
\(565\) 21.0960 36.5393i 0.887514 1.53722i
\(566\) −2.40181 + 1.38668i −0.100955 + 0.0582866i
\(567\) −21.9907 + 9.13277i −0.923524 + 0.383540i
\(568\) 0.436496 + 0.756034i 0.0183150 + 0.0317225i
\(569\) 4.97346i 0.208498i 0.994551 + 0.104249i \(0.0332439\pi\)
−0.994551 + 0.104249i \(0.966756\pi\)
\(570\) 26.4833 3.75435i 1.10926 0.157253i
\(571\) 8.28254 14.3458i 0.346613 0.600352i −0.639032 0.769180i \(-0.720665\pi\)
0.985646 + 0.168828i \(0.0539983\pi\)
\(572\) 12.8596 6.78159i 0.537688 0.283553i
\(573\) 11.1523 27.6985i 0.465895 1.15712i
\(574\) −14.7957 12.2930i −0.617561 0.513101i
\(575\) 8.67117 + 5.00630i 0.361613 + 0.208777i
\(576\) −2.88179 + 0.833822i −0.120075 + 0.0347426i
\(577\) 0.888204 1.53841i 0.0369764 0.0640450i −0.846945 0.531681i \(-0.821561\pi\)
0.883921 + 0.467636i \(0.154894\pi\)
\(578\) −5.82221 −0.242172
\(579\) 13.3604 + 17.0583i 0.555238 + 0.708919i
\(580\) −13.0132 −0.540342
\(581\) 5.65584 33.0135i 0.234644 1.36963i
\(582\) −3.01834 + 2.36402i −0.125114 + 0.0979917i
\(583\) 39.5898i 1.63964i
\(584\) −6.78690 + 11.7553i −0.280844 + 0.486436i
\(585\) −22.5624 23.4111i −0.932842 0.967929i
\(586\) 11.4769 6.62619i 0.474106 0.273725i
\(587\) −25.1460 14.5180i −1.03789 0.599224i −0.118652 0.992936i \(-0.537857\pi\)
−0.919234 + 0.393712i \(0.871191\pi\)
\(588\) −2.39114 + 11.8862i −0.0986090 + 0.490180i
\(589\) −15.1953 26.3190i −0.626112 1.08446i
\(590\) −4.78047 8.28002i −0.196809 0.340883i
\(591\) −17.0523 6.86580i −0.701436 0.282421i
\(592\) 2.57002i 0.105627i
\(593\) 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
\(595\) −24.9409 + 9.21529i −1.02248 + 0.377790i
\(596\) −4.93899 + 8.55458i −0.202309 + 0.350409i
\(597\) −13.0062 + 1.84380i −0.532308 + 0.0754616i
\(598\) 8.93949 + 0.342614i 0.365563 + 0.0140105i
\(599\) 37.6285 + 21.7248i 1.53746 + 0.887653i 0.998987 + 0.0450101i \(0.0143320\pi\)
0.538473 + 0.842643i \(0.319001\pi\)
\(600\) 6.48371 + 2.61056i 0.264696 + 0.106575i
\(601\) 13.6314 + 7.87007i 0.556035 + 0.321027i 0.751553 0.659673i \(-0.229305\pi\)
−0.195518 + 0.980700i \(0.562639\pi\)
\(602\) 4.10239 + 11.1030i 0.167201 + 0.452525i
\(603\) −16.9226 + 17.6081i −0.689140 + 0.717057i
\(604\) −4.74145 2.73748i −0.192927 0.111386i
\(605\) 15.8063i 0.642619i
\(606\) 17.8129 13.9514i 0.723599 0.566735i
\(607\) −8.61491 4.97382i −0.349669 0.201881i 0.314871 0.949135i \(-0.398039\pi\)
−0.664539 + 0.747253i \(0.731372\pi\)
\(608\) −2.56879 + 4.44927i −0.104178 + 0.180442i
\(609\) 10.4109 16.8878i 0.421871 0.684328i
\(610\) 20.0360 0.811234
\(611\) −11.2112 21.2593i −0.453556 0.860058i
\(612\) 9.63476 2.78773i 0.389462 0.112687i
\(613\) −34.4802 + 19.9071i −1.39264 + 0.804041i −0.993607 0.112895i \(-0.963988\pi\)
−0.399034 + 0.916936i \(0.630654\pi\)
\(614\) −20.2861 −0.818680
\(615\) −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 0.791066 0.611731i \(-0.209527\pi\)
−0.925308 + 0.379217i \(0.876193\pi\)
\(618\) 18.3239 + 23.3957i 0.737097 + 0.941114i
\(619\) 1.64337 2.84640i 0.0660526 0.114406i −0.831108 0.556111i \(-0.812293\pi\)
0.897160 + 0.441705i \(0.145626\pi\)
\(620\) 17.7809i 0.714100i
\(621\) 11.7591 5.28622i 0.471875 0.212129i
\(622\) −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
\(626\) −23.6806 + 13.6720i −0.946469 + 0.546444i
\(627\) −5.03618 35.5253i −0.201126 1.41874i
\(628\) −7.68837 4.43888i −0.306799 0.177131i
\(629\) 8.59241i 0.342602i
\(630\) −19.1997 + 14.1634i −0.764934 + 0.564284i
\(631\) −25.0289 + 14.4504i −0.996383 + 0.575262i −0.907176 0.420751i \(-0.861767\pi\)
−0.0892070 + 0.996013i \(0.528433\pi\)
\(632\) 8.50477 + 14.7307i 0.338302 + 0.585956i
\(633\) 18.6931 + 7.52646i 0.742985 + 0.299150i
\(634\) 13.0955 + 22.6820i 0.520087 + 0.900817i
\(635\) 49.6981i 1.97221i
\(636\) −6.35169 + 15.7754i −0.251861 + 0.625535i
\(637\) 9.30653 23.4604i 0.368738 0.929533i
\(638\) 17.4562i 0.691096i
\(639\) −1.88829 1.81477i −0.0746996 0.0717914i
\(640\) −2.60318 + 1.50295i −0.102900 + 0.0594092i
\(641\) 17.0406i 0.673065i 0.941672 + 0.336533i \(0.109254\pi\)
−0.941672 + 0.336533i \(0.890746\pi\)
\(642\) 3.47016 0.491940i 0.136956 0.0194153i
\(643\) 21.5514 + 37.3282i 0.849906 + 1.47208i 0.881291 + 0.472573i \(0.156675\pi\)
−0.0313853 + 0.999507i \(0.509992\pi\)
\(644\) 1.10849 6.47034i 0.0436808 0.254967i
\(645\) −8.69960 + 21.6068i −0.342546 + 0.850766i
\(646\) 8.58828 14.8753i 0.337901 0.585263i
\(647\) −4.56938 7.91441i −0.179641 0.311147i 0.762117 0.647440i \(-0.224160\pi\)
−0.941758 + 0.336292i \(0.890827\pi\)
\(648\) 7.60948 4.80581i 0.298929 0.188790i
\(649\) −11.1070 + 6.41264i −0.435988 + 0.251718i
\(650\) −12.3127 7.75217i −0.482944 0.304065i
\(651\) 23.0751 + 14.2253i 0.904386 + 0.557532i
\(652\) 4.75335 + 2.74435i 0.186156 + 0.107477i
\(653\) 14.5764i 0.570420i 0.958465 + 0.285210i \(0.0920633\pi\)
−0.958465 + 0.285210i \(0.907937\pi\)
\(654\) 8.95434 22.2395i 0.350142 0.869632i
\(655\) −21.7964 12.5842i −0.851656 0.491704i
\(656\) 6.29653 + 3.63530i 0.245838 + 0.141935i
\(657\) 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 0.0267913 0.999641i \(-0.491471\pi\)
0.879110 + 0.476619i \(0.158138\pi\)
\(660\) 7.84078 19.4738i 0.305202 0.758015i
\(661\) −12.5892 21.8051i −0.489663 0.848122i 0.510266 0.860017i \(-0.329547\pi\)
−0.999929 + 0.0118949i \(0.996214\pi\)
\(662\) −11.7438 6.78028i −0.456435 0.263523i
\(663\) −20.7694 + 2.13672i −0.806617 + 0.0829834i
\(664\) 12.6597i 0.491292i
\(665\) −6.89931 + 40.2717i −0.267544 + 1.56167i
\(666\) 2.14294 + 7.40628i 0.0830373 + 0.286987i
\(667\) −5.37080 + 9.30250i −0.207958 + 0.360194i
\(668\) 3.01387 + 1.74006i 0.116610 + 0.0673250i
\(669\) −2.23688 0.900641i −0.0864827 0.0348208i
\(670\) −12.2348 + 21.1913i −0.472673 + 0.818693i
\(671\) 26.8767i 1.03757i
\(672\) 0.132177 4.58067i 0.00509882 0.176703i
\(673\) −9.27973 + 16.0730i −0.357707 + 0.619567i −0.987577 0.157133i \(-0.949775\pi\)
0.629870 + 0.776700i \(0.283108\pi\)
\(674\) 9.84727 0.379303
\(675\) −20.8615 2.11683i −0.802958 0.0814767i
\(676\) −12.9619 0.995011i −0.498533 0.0382697i
\(677\) −9.29724 16.1033i −0.357322 0.618900i 0.630191 0.776441i \(-0.282977\pi\)
−0.987512 + 0.157541i \(0.949643\pi\)
\(678\) −14.9908 19.1400i −0.575717 0.735066i
\(679\) −2.02974 5.49343i −0.0778942 0.210818i
\(680\) 8.70327 5.02484i 0.333755 0.192694i
\(681\) −12.4170 + 1.76027i −0.475820 + 0.0674537i
\(682\) −23.8518 −0.913331
\(683\) −33.1927 −1.27008 −0.635041 0.772478i \(-0.719017\pi\)
−0.635041 + 0.772478i \(0.719017\pi\)
\(684\) 3.69282 14.9638i 0.141199 0.572155i
\(685\) 54.3724 31.3919i 2.07746 1.19942i
\(686\) −16.1723 9.02526i −0.617463 0.344586i
\(687\) −32.7572 + 25.6560i −1.24977 + 0.978839i
\(688\) −2.23692 3.87445i −0.0852816 0.147712i
\(689\) 18.8617 29.9578i 0.718572 1.14130i
\(690\) 10.1700 7.96529i 0.387164 0.303233i
\(691\) −20.6733 −0.786449 −0.393224 0.919443i \(-0.628640\pi\)
−0.393224 + 0.919443i \(0.628640\pi\)
\(692\) 5.87790 10.1808i 0.223444 0.387016i
\(693\) 18.9991 + 25.7549i 0.721718 + 0.978348i
\(694\) 27.2395i 1.03400i
\(695\) −21.6063 + 37.4233i −0.819575 + 1.41955i
\(696\) −2.80062 + 6.95578i −0.106157 + 0.263658i
\(697\) −21.0513 12.1540i −0.797375 0.460365i
\(698\) −6.39541 + 11.0772i −0.242070 + 0.419277i
\(699\) 4.06110 + 5.18515i 0.153605 + 0.196121i
\(700\) −6.82300 + 8.21208i −0.257885 + 0.310387i
\(701\) 5.92119i 0.223640i 0.993728 + 0.111820i \(0.0356681\pi\)
−0.993728 + 0.111820i \(0.964332\pi\)
\(702\) −17.3694 + 7.02163i −0.655566 + 0.265014i
\(703\) 11.4347 + 6.60184i 0.431269 + 0.248993i
\(704\) 2.01609 + 3.49197i 0.0759842 + 0.131608i
\(705\) −32.1936 12.9622i −1.21248 0.488185i
\(706\) −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
\(709\) −33.7421 19.4810i −1.26721 0.731624i −0.292750 0.956189i \(-0.594570\pi\)
−0.974459 + 0.224565i \(0.927904\pi\)
\(710\) −2.27256 1.31206i −0.0852876 0.0492408i
\(711\) −36.7918 35.3594i −1.37980 1.32608i
\(712\) 3.63877i 0.136369i
\(713\) −12.7108 7.33856i −0.476022 0.274831i
\(714\) −0.441909 + 15.3146i −0.0165380 + 0.573136i
\(715\) −23.2836 + 36.9810i −0.870756 + 1.38301i
\(716\) −9.26309 + 5.34805i −0.346178 + 0.199866i
\(717\) 2.13244 + 15.0423i 0.0796375 + 0.561765i
\(718\) 0.650209 + 1.12619i 0.0242656 + 0.0420292i
\(719\) 12.2366 21.1944i 0.456347 0.790416i −0.542418 0.840109i \(-0.682491\pi\)
0.998765 + 0.0496928i \(0.0158242\pi\)
\(720\) 6.24865 6.50178i 0.232873 0.242307i
\(721\) −42.5806 + 15.7329i −1.58578 + 0.585923i
\(722\) −3.69734 6.40399i −0.137601 0.238332i
\(723\) 1.37769 + 9.71826i 0.0512368 + 0.361426i
\(724\) 15.8900i 0.590549i
\(725\) 15.1296 8.73507i 0.561899 0.324412i
\(726\) −8.44878 3.40176i −0.313564 0.126251i
\(727\) 49.5341i 1.83712i 0.395283 + 0.918560i \(0.370647\pi\)
−0.395283 + 0.918560i \(0.629353\pi\)
\(728\) −1.96972 + 9.33382i −0.0730028 + 0.345934i
\(729\) −17.9218 + 20.1943i −0.663770 + 0.747937i
\(730\) 40.8014i 1.51013i
\(731\) 7.47873 + 12.9535i 0.276611 + 0.479104i
\(732\) 4.31204 10.7096i 0.159378 0.395838i
\(733\) −17.0909 29.6023i −0.631266 1.09338i −0.987293 0.158909i \(-0.949202\pi\)
0.356027 0.934476i \(-0.384131\pi\)
\(734\) 18.2652 10.5454i 0.674182 0.389239i
\(735\) −11.6398 34.5358i −0.429341 1.27387i
\(736\) 2.48119i 0.0914578i
\(737\) 28.4265 + 16.4121i 1.04711 + 0.604547i
\(738\) −21.1765 5.22601i −0.779517 0.192372i
\(739\) 5.40583 3.12105i 0.198857 0.114810i −0.397265 0.917704i \(-0.630041\pi\)
0.596122 + 0.802894i \(0.296707\pi\)
\(740\) 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 −0.795640 0.605769i \(-0.792865\pi\)
0.922432 + 0.386160i \(0.126199\pi\)
\(744\) −9.50424 3.82672i −0.348442 0.140294i
\(745\) 29.6922i 1.08784i
\(746\) −11.0125 + 19.0742i −0.403196 + 0.698357i
\(747\) −10.5559 36.4827i −0.386222 1.33483i
\(748\) −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
\(751\) 41.1695 1.50229 0.751147 0.660135i \(-0.229501\pi\)
0.751147 + 0.660135i \(0.229501\pi\)
\(752\) 5.77285 3.33296i 0.210514 0.121540i
\(753\) 11.1897 8.76396i 0.407775 0.319376i
\(754\) 8.31659 13.2092i 0.302872 0.481049i
\(755\) 16.4572 0.598937
\(756\) 3.43855 + 13.3108i 0.125059 + 0.484108i
\(757\) 2.12231 3.67595i 0.0771367 0.133605i −0.824877 0.565313i \(-0.808756\pi\)
0.902013 + 0.431708i \(0.142089\pi\)
\(758\) 6.24288 + 3.60433i 0.226752 + 0.130915i
\(759\) −10.6848 13.6422i −0.387834 0.495181i
\(760\) 15.4430i 0.560177i
\(761\) −38.7363 22.3644i −1.40419 0.810710i −0.409371 0.912368i \(-0.634252\pi\)
−0.994819 + 0.101658i \(0.967585\pi\)
\(762\) 26.5645 + 10.6958i 0.962332 + 0.387467i
\(763\) 28.1678 + 23.4032i 1.01974 + 0.847254i
\(764\) −14.9297 8.61966i −0.540137 0.311848i
\(765\) −20.8912 + 21.7375i −0.755324 + 0.785922i
\(766\) 28.3175 + 16.3491i 1.02315 + 0.590719i
\(767\) 11.4599 + 0.439210i 0.413792 + 0.0158590i
\(768\) 0.243110 + 1.71490i 0.00877248 + 0.0618813i
\(769\) 6.20113 10.7407i 0.223618 0.387318i −0.732286 0.680998i \(-0.761546\pi\)
0.955904 + 0.293679i \(0.0948798\pi\)
\(770\) 24.6649 + 20.4928i 0.888861 + 0.738510i
\(771\) 6.57914 + 46.4094i 0.236942 + 1.67139i
\(772\) 10.8338 6.25490i 0.389917 0.225119i
\(773\) 11.9051i 0.428197i 0.976812 + 0.214099i \(0.0686814\pi\)
−0.976812 + 0.214099i \(0.931319\pi\)
\(774\) 9.67694 + 9.30019i 0.347830