Properties

Label 546.2.bi.e.17.3
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 17.3
Character \(\chi\) \(=\) 546.17
Dual form 546.2.bi.e.257.3

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000 q^{2} +(-1.36360 - 1.06799i) q^{3} +1.00000 q^{4} +(2.60318 - 1.50295i) q^{5} +(1.36360 + 1.06799i) q^{6} +(-2.60776 - 0.446759i) q^{7} -1.00000 q^{8} +(0.718787 + 2.91262i) q^{9} +O(q^{10})\) \(q-1.00000 q^{2} +(-1.36360 - 1.06799i) q^{3} +1.00000 q^{4} +(2.60318 - 1.50295i) q^{5} +(1.36360 + 1.06799i) q^{6} +(-2.60776 - 0.446759i) q^{7} -1.00000 q^{8} +(0.718787 + 2.91262i) q^{9} +(-2.60318 + 1.50295i) q^{10} +(-2.01609 - 3.49197i) q^{11} +(-1.36360 - 1.06799i) q^{12} +(0.138085 - 3.60291i) q^{13} +(2.60776 + 0.446759i) q^{14} +(-5.15482 - 0.730764i) q^{15} +1.00000 q^{16} +3.34332 q^{17} +(-0.718787 - 2.91262i) q^{18} +(-2.56879 + 4.44927i) q^{19} +(2.60318 - 1.50295i) q^{20} +(3.07879 + 3.39426i) q^{21} +(2.01609 + 3.49197i) q^{22} -2.48119i q^{23} +(1.36360 + 1.06799i) 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} +(5.15482 + 0.730764i) q^{30} +(-2.95768 + 5.12285i) q^{31} -1.00000 q^{32} +(-0.980263 + 6.91480i) q^{33} -3.34332 q^{34} +(-7.45993 + 2.75633i) q^{35} +(0.718787 + 2.91262i) q^{36} -2.57002i q^{37} +(2.56879 - 4.44927i) q^{38} +(-4.03617 + 4.76543i) q^{39} +(-2.60318 + 1.50295i) q^{40} +(-6.29653 - 3.63530i) q^{41} +(-3.07879 - 3.39426i) 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} +(-1.36360 - 1.06799i) q^{48} +(6.60081 + 2.33008i) q^{49} +(-2.01770 + 3.49476i) q^{50} +(-4.55894 - 3.57064i) 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} +(-5.15482 - 0.730764i) q^{60} +(-5.77255 - 3.33278i) q^{61} +(2.95768 - 5.12285i) q^{62} +(-0.573184 - 7.91653i) q^{63} +1.00000 q^{64} +(-5.05552 - 9.58655i) q^{65} +(0.980263 - 6.91480i) q^{66} +(7.04993 - 4.07028i) q^{67} +3.34332 q^{68} +(-2.64989 + 3.38334i) q^{69} +(7.45993 - 2.75633i) q^{70} +(-0.436496 - 0.756034i) q^{71} +(-0.718787 - 2.91262i) 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} +(4.03617 - 4.76543i) q^{78} +(8.50477 + 14.7307i) q^{79} +(2.60318 - 1.50295i) q^{80} +(-7.96669 + 4.18710i) q^{81} +(6.29653 + 3.63530i) q^{82} -12.6597i q^{83} +(3.07879 + 3.39426i) 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} +(1.36360 + 1.06799i) q^{96} +(1.10676 + 1.91696i) q^{97} +(-6.60081 - 2.33008i) q^{98} +(8.72163 - 8.38208i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 34q^{2} + 3q^{3} + 34q^{4} - 9q^{5} - 3q^{6} + 4q^{7} - 34q^{8} - 11q^{9} + O(q^{10}) \) \( 34q - 34q^{2} + 3q^{3} + 34q^{4} - 9q^{5} - 3q^{6} + 4q^{7} - 34q^{8} - 11q^{9} + 9q^{10} - 9q^{11} + 3q^{12} + 8q^{13} - 4q^{14} - 4q^{15} + 34q^{16} - 12q^{17} + 11q^{18} - 5q^{19} - 9q^{20} + 4q^{21} + 9q^{22} - 3q^{24} + 16q^{25} - 8q^{26} + 18q^{27} + 4q^{28} - 27q^{29} + 4q^{30} - q^{31} - 34q^{32} + 21q^{33} + 12q^{34} + 3q^{35} - 11q^{36} + 5q^{38} + 7q^{39} + 9q^{40} + 3q^{41} - 4q^{42} - 3q^{43} - 9q^{44} + 9q^{45} + 27q^{47} + 3q^{48} - 2q^{49} - 16q^{50} + 24q^{51} + 8q^{52} + 21q^{53} - 18q^{54} - 57q^{55} - 4q^{56} + 17q^{57} + 27q^{58} - 4q^{60} - 51q^{61} + q^{62} + 3q^{63} + 34q^{64} + 21q^{65} - 21q^{66} - 21q^{67} - 12q^{68} + 42q^{69} - 3q^{70} + 15q^{71} + 11q^{72} - 19q^{73} + 54q^{75} - 5q^{76} - 9q^{77} - 7q^{78} - 9q^{79} - 9q^{80} - 23q^{81} - 3q^{82} + 4q^{84} - 42q^{85} + 3q^{86} + 81q^{87} + 9q^{88} - 9q^{90} - 72q^{91} + 17q^{93} - 27q^{94} - 3q^{96} + 19q^{97} + 2q^{98} + 27q^{99} + O(q^{100}) \)

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
\(3\) −1.36360 1.06799i −0.787272 0.616605i
\(4\) 1.00000 0.500000
\(5\) 2.60318 1.50295i 1.16418 0.672139i 0.211876 0.977296i \(-0.432043\pi\)
0.952302 + 0.305158i \(0.0987092\pi\)
\(6\) 1.36360 + 1.06799i 0.556686 + 0.436006i
\(7\) −2.60776 0.446759i −0.985640 0.168859i
\(8\) −1.00000 −0.353553
\(9\) 0.718787 + 2.91262i 0.239596 + 0.970873i
\(10\) −2.60318 + 1.50295i −0.823198 + 0.475274i
\(11\) −2.01609 3.49197i −0.607873 1.05287i −0.991590 0.129417i \(-0.958689\pi\)
0.383717 0.923451i \(-0.374644\pi\)
\(12\) −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
\(15\) −5.15482 0.730764i −1.33097 0.188682i
\(16\) 1.00000 0.250000
\(17\) 3.34332 0.810874 0.405437 0.914123i \(-0.367119\pi\)
0.405437 + 0.914123i \(0.367119\pi\)
\(18\) −0.718787 2.91262i −0.169420 0.686511i
\(19\) −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
\(21\) 3.07879 + 3.39426i 0.671848 + 0.740689i
\(22\) 2.01609 + 3.49197i 0.429831 + 0.744490i
\(23\) 2.48119i 0.517363i −0.965963 0.258682i \(-0.916712\pi\)
0.965963 0.258682i \(-0.0832881\pi\)
\(24\) 1.36360 + 1.06799i 0.278343 + 0.218003i
\(25\) 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 0.109724 0.993962i \(-0.465003\pi\)
−0.805935 + 0.592005i \(0.798337\pi\)
\(30\) 5.15482 + 0.730764i 0.941138 + 0.133419i
\(31\) −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
\(33\) −0.980263 + 6.91480i −0.170642 + 1.20371i
\(34\) −3.34332 −0.573375
\(35\) −7.45993 + 2.75633i −1.26096 + 0.465905i
\(36\) 0.718787 + 2.91262i 0.119798 + 0.485436i
\(37\) 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
\(39\) −4.03617 + 4.76543i −0.646304 + 0.763080i
\(40\) −2.60318 + 1.50295i −0.411599 + 0.237637i
\(41\) −6.29653 3.63530i −0.983352 0.567739i −0.0800717 0.996789i \(-0.525515\pi\)
−0.903281 + 0.429050i \(0.858848\pi\)
\(42\) −3.07879 3.39426i −0.475068 0.523746i
\(43\) −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 −0.857963 0.513712i \(-0.828270\pi\)
0.0159060 + 0.999873i \(0.494937\pi\)
\(48\) −1.36360 1.06799i −0.196818 0.154151i
\(49\) 6.60081 + 2.33008i 0.942973 + 0.332869i
\(50\) −2.01770 + 3.49476i −0.285346 + 0.494234i
\(51\) −4.55894 3.57064i −0.638379 0.499990i
\(52\) 0.138085 3.60291i 0.0191489 0.499633i
\(53\) −8.50304 4.90923i −1.16798 0.674335i −0.214779 0.976663i \(-0.568903\pi\)
−0.953204 + 0.302327i \(0.902236\pi\)
\(54\) −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 \(-0.933614\pi\)
0.978331 0.207048i \(-0.0663856\pi\)
\(60\) −5.15482 0.730764i −0.665485 0.0943412i
\(61\) −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
\(63\) −0.573184 7.91653i −0.0722144 0.997389i
\(64\) 1.00000 0.125000
\(65\) −5.05552 9.58655i −0.627060 1.18907i
\(66\) 0.980263 6.91480i 0.120662 0.851153i
\(67\) 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
\(69\) −2.64989 + 3.38334i −0.319009 + 0.407306i
\(70\) 7.45993 2.75633i 0.891632 0.329444i
\(71\) −0.436496 0.756034i −0.0518026 0.0897247i 0.838961 0.544191i \(-0.183163\pi\)
−0.890764 + 0.454466i \(0.849830\pi\)
\(72\) −0.718787 2.91262i −0.0847098 0.343255i
\(73\) −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
\(78\) 4.03617 4.76543i 0.457006 0.539579i
\(79\) 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
\(81\) −7.96669 + 4.18710i −0.885188 + 0.465234i
\(82\) 6.29653 + 3.63530i 0.695335 + 0.401452i
\(83\) 12.6597i 1.38958i −0.719211 0.694792i \(-0.755496\pi\)
0.719211 0.694792i \(-0.244504\pi\)
\(84\) 3.07879 + 3.39426i 0.335924 + 0.370345i
\(85\) 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 \(-0.938225\pi\)
0.981227 0.192855i \(-0.0617746\pi\)
\(90\) −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
\(96\) 1.36360 + 1.06799i 0.139171 + 0.109001i
\(97\) 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 \(0.0585296\pi\)
−0.333226 + 0.942847i \(0.608137\pi\)
\(102\) 4.55894 + 3.57064i 0.451402 + 0.353546i
\(103\) 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
\(107\) 2.02353i 0.195622i 0.995205 + 0.0978109i \(0.0311840\pi\)
−0.995205 + 0.0978109i \(0.968816\pi\)
\(108\) 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
\(111\) −2.74476 + 3.50447i −0.260521 + 0.332630i
\(112\) −2.60776 0.446759i −0.246410 0.0422148i
\(113\) 12.1559 7.01820i 1.14353 0.660217i 0.196227 0.980559i \(-0.437131\pi\)
0.947302 + 0.320342i \(0.103798\pi\)
\(114\) −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
\(117\) 10.5931 2.18753i 0.979336 0.202238i
\(118\) 3.18073i 0.292810i
\(119\) −8.71857 1.49366i −0.799230 0.136924i
\(120\) 5.15482 + 0.730764i 0.470569 + 0.0667093i
\(121\) −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
\(126\) 0.573184 + 7.91653i 0.0510633 + 0.705261i
\(127\) 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
\(129\) −1.08763 + 7.67220i −0.0957609 + 0.675499i
\(130\) 5.05552 + 9.58655i 0.443398 + 0.840796i
\(131\) −4.18649 7.25122i −0.365776 0.633542i 0.623125 0.782122i \(-0.285863\pi\)
−0.988900 + 0.148581i \(0.952530\pi\)
\(132\) −0.980263 + 6.91480i −0.0853210 + 0.601856i
\(133\) 8.68653 10.4550i 0.753218 0.906563i
\(134\) −7.04993 + 4.07028i −0.609021 + 0.351618i
\(135\) −1.57678 15.5393i −0.135708 1.33741i
\(136\) −3.34332 −0.286687
\(137\) 20.8869 1.78449 0.892244 0.451553i \(-0.149130\pi\)
0.892244 + 0.451553i \(0.149130\pi\)
\(138\) 2.64989 3.38334i 0.225573 0.288009i
\(139\) 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
\(141\) 11.4314 + 1.62055i 0.962698 + 0.136475i
\(142\) 0.436496 + 0.756034i 0.0366300 + 0.0634450i
\(143\) −12.8596 + 6.78159i −1.07538 + 0.567105i
\(144\) 0.718787 + 2.91262i 0.0598989 + 0.242718i
\(145\) −13.0132 −1.08068
\(146\) 6.78690 11.7553i 0.561688 0.972872i
\(147\) −6.51233 10.2269i −0.537128 0.843501i
\(148\) 2.57002i 0.211255i
\(149\) 4.93899 8.55458i 0.404618 0.700818i −0.589659 0.807652i \(-0.700738\pi\)
0.994277 + 0.106834i \(0.0340713\pi\)
\(150\) 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
\(153\) 2.40313 + 9.73782i 0.194282 + 0.787256i
\(154\) −3.69740 10.0069i −0.297945 0.806380i
\(155\) 17.7809i 1.42820i
\(156\) −4.03617 + 4.76543i −0.323152 + 0.381540i
\(157\) −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
\(162\) 7.96669 4.18710i 0.625922 0.328970i
\(163\) 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 0.378836 0.925464i \(-0.376324\pi\)
−0.612057 + 0.790814i \(0.709658\pi\)
\(168\) −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
\(171\) −14.8054 4.28382i −1.13220 0.327592i
\(172\) −2.23692 3.87445i −0.170563 0.295424i
\(173\) −5.87790 + 10.1808i −0.446888 + 0.774033i −0.998182 0.0602784i \(-0.980801\pi\)
0.551293 + 0.834311i \(0.314134\pi\)
\(174\) −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
\(177\) −3.39700 + 4.33723i −0.255334 + 0.326006i
\(178\) 3.63877i 0.272738i
\(179\) 9.26309 5.34805i 0.692356 0.399732i −0.112138 0.993693i \(-0.535770\pi\)
0.804494 + 0.593961i \(0.202437\pi\)
\(180\) 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
\(189\) −7.67320 + 11.4071i −0.558143 + 0.829745i
\(190\) 15.4430i 1.12035i
\(191\) 14.9297 + 8.61966i 1.08027 + 0.623697i 0.930970 0.365095i \(-0.118963\pi\)
0.149304 + 0.988791i \(0.452297\pi\)
\(192\) −1.36360 1.06799i −0.0984090 0.0770757i
\(193\) 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
\(195\) −3.34467 + 18.4714i −0.239517 + 1.32277i
\(196\) 6.60081 + 2.33008i 0.471487 + 0.166434i
\(197\) 5.30659 9.19128i 0.378079 0.654852i −0.612704 0.790313i \(-0.709918\pi\)
0.990783 + 0.135461i \(0.0432515\pi\)
\(198\) −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
\(201\) −13.9603 1.97905i −0.984682 0.139592i
\(202\) −6.53158 11.3130i −0.459560 0.795982i
\(203\) 8.80998 + 7.31977i 0.618339 + 0.513747i
\(204\) −4.55894 3.57064i −0.319190 0.249995i
\(205\) −21.8547 −1.52640
\(206\) −14.8587 + 8.57869i −1.03526 + 0.597706i
\(207\) 7.22675 1.78345i 0.502294 0.123958i
\(208\) 0.138085 3.60291i 0.00957444 0.249817i
\(209\) 20.7156 1.43293
\(210\) −13.1161 4.20862i −0.905094 0.290422i
\(211\) 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
\(213\) −0.212233 + 1.49710i −0.0145420 + 0.102580i
\(214\) 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
\(222\) 2.74476 3.50447i 0.184216 0.235205i
\(223\) −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
\(225\) 11.6292 + 3.36481i 0.775281 + 0.224321i
\(226\) −12.1559 + 7.01820i −0.808597 + 0.466844i
\(227\) 7.24063i 0.480577i −0.970701 0.240289i \(-0.922758\pi\)
0.970701 0.240289i \(-0.0772421\pi\)
\(228\) 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
\(231\) 5.64554 17.5942i 0.371449 1.15761i
\(232\) 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 \(0.373084\pi\)
\(234\) −10.5931 + 2.18753i −0.692495 + 0.143004i
\(235\) −10.0185 + 17.3526i −0.653536 + 1.13196i
\(236\) 3.18073i 0.207048i
\(237\) 4.13519 29.1697i 0.268610 1.89478i
\(238\) 8.71857 + 1.49366i 0.565141 + 0.0968195i
\(239\) −8.77151 −0.567382 −0.283691 0.958916i \(-0.591559\pi\)
−0.283691 + 0.958916i \(0.591559\pi\)
\(240\) −5.15482 0.730764i −0.332742 0.0471706i
\(241\) 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
\(243\) 15.3351 + 2.79884i 0.983750 + 0.179546i
\(244\) −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
\(249\) −13.5205 + 17.2627i −0.856825 + 1.09398i
\(250\) 2.89947i 0.183378i
\(251\) 4.10301 + 7.10662i 0.258980 + 0.448566i 0.965969 0.258658i \(-0.0832804\pi\)
−0.706989 + 0.707224i \(0.749947\pi\)
\(252\) −0.573184 7.91653i −0.0361072 0.498695i
\(253\) −8.66423 + 5.00229i −0.544715 + 0.314491i
\(254\) −8.26677 + 14.3185i −0.518703 + 0.898421i
\(255\) −17.2342 2.44318i −1.07925 0.152998i
\(256\) 1.00000 0.0625000
\(257\) −27.0624 −1.68810 −0.844052 0.536261i \(-0.819836\pi\)
−0.844052 + 0.536261i \(0.819836\pi\)
\(258\) 1.08763 7.67220i 0.0677132 0.477650i
\(259\) −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
\(262\) 4.18649 + 7.25122i 0.258642 + 0.447982i
\(263\) −12.6627 + 7.31080i −0.780814 + 0.450803i −0.836719 0.547633i \(-0.815529\pi\)
0.0559046 + 0.998436i \(0.482196\pi\)
\(264\) 0.980263 6.91480i 0.0603310 0.425576i
\(265\) −29.5133 −1.81299
\(266\) −8.68653 + 10.4550i −0.532606 + 0.641037i
\(267\) −3.88618 + 4.96182i −0.237830 + 0.303658i
\(268\) 7.04993 4.07028i 0.430643 0.248632i
\(269\) 28.7012 1.74994 0.874970 0.484177i \(-0.160881\pi\)
0.874970 + 0.484177i \(0.160881\pi\)
\(270\) 1.57678 + 15.5393i 0.0959600 + 0.945691i
\(271\) 7.22007 0.438588 0.219294 0.975659i \(-0.429625\pi\)
0.219294 + 0.975659i \(0.429625\pi\)
\(272\) 3.34332 0.202719
\(273\) 12.6543 10.6239i 0.765876 0.642988i
\(274\) −20.8869 −1.26182
\(275\) −16.2715 −0.981207
\(276\) −2.64989 + 3.38334i −0.159505 + 0.203653i
\(277\) 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
\(279\) −17.0469 4.93235i −1.02057 0.295292i
\(280\) 7.45993 2.75633i 0.445816 0.164722i
\(281\) 5.71978 0.341214 0.170607 0.985339i \(-0.445427\pi\)
0.170607 + 0.985339i \(0.445427\pi\)
\(282\) −11.4314 1.62055i −0.680730 0.0965024i
\(283\) −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
\(285\) 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
\(288\) −0.718787 2.91262i −0.0423549 0.171628i
\(289\) −5.82221 −0.342483
\(290\) 13.0132 0.764160
\(291\) 0.538129 3.79597i 0.0315457 0.222524i
\(292\) −6.78690 + 11.7553i −0.397173 + 0.687925i
\(293\) −11.4769 + 6.62619i −0.670488 + 0.387106i −0.796261 0.604953i \(-0.793192\pi\)
0.125774 + 0.992059i \(0.459859\pi\)
\(294\) 6.51233 + 10.2269i 0.379807 + 0.596445i
\(295\) −4.78047 8.28002i −0.278330 0.482082i
\(296\) 2.57002i 0.149380i
\(297\) −20.8448 + 2.11513i −1.20954 + 0.122732i
\(298\) −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
\(303\) 3.17579 22.4021i 0.182444 1.28697i
\(304\) −2.56879 + 4.44927i −0.147330 + 0.255183i
\(305\) −20.0360 −1.14726
\(306\) −2.40313 9.73782i −0.137378 0.556674i
\(307\) −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
\(309\) −29.4233 4.17113i −1.67383 0.237288i
\(310\) 17.7809i 1.00989i
\(311\) 8.05505 13.9518i 0.456760 0.791131i −0.542028 0.840361i \(-0.682343\pi\)
0.998788 + 0.0492293i \(0.0156765\pi\)
\(312\) 4.03617 4.76543i 0.228503 0.269790i
\(313\) −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
\(315\) −13.3902 19.7467i −0.754454 1.11260i
\(316\) 8.50477 + 14.7307i 0.478431 + 0.828667i
\(317\) −13.0955 22.6820i −0.735514 1.27395i −0.954497 0.298219i \(-0.903607\pi\)
0.218983 0.975729i \(-0.429726\pi\)
\(318\) −6.35169 15.7754i −0.356185 0.884640i
\(319\) 17.4562i 0.977357i
\(320\) 2.60318 1.50295i 0.145522 0.0840173i
\(321\) 2.16111 2.75927i 0.120621 0.154008i
\(322\) 1.10849 6.47034i 0.0617739 0.360578i
\(323\) −8.58828 + 14.8753i −0.477865 + 0.827686i
\(324\) −7.96669 + 4.18710i −0.442594 + 0.232617i
\(325\) −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
\(333\) 7.48550 1.84730i 0.410203 0.101231i
\(334\) 3.01387 + 1.74006i 0.164912 + 0.0952119i
\(335\) 12.2348 21.1913i 0.668460 1.15781i
\(336\) 3.07879 + 3.39426i 0.167962 + 0.185172i
\(337\) 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
\(339\) −24.0711 3.41239i −1.30736 0.185336i
\(340\) 8.70327 5.02484i 0.472001 0.272510i
\(341\) 23.8518 1.29165
\(342\) 14.8054 + 4.28382i 0.800587 + 0.231643i
\(343\) −16.1723 9.02526i −0.873224 0.487318i
\(344\) 2.23692 + 3.87445i 0.120606 + 0.208897i
\(345\) −1.81316 + 12.7901i −0.0976174 + 0.688595i
\(346\) 5.87790 10.1808i 0.315998 0.547324i
\(347\) 27.2395i 1.46229i −0.682221 0.731146i \(-0.738986\pi\)
0.682221 0.731146i \(-0.261014\pi\)
\(348\) 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
\(351\) −16.7810 8.33048i −0.895705 0.444648i
\(352\) 2.01609 + 3.49197i 0.107458 + 0.186122i
\(353\) 6.71764 3.87843i 0.357544 0.206428i −0.310459 0.950587i \(-0.600483\pi\)
0.668003 + 0.744159i \(0.267149\pi\)
\(354\) 3.39700 4.33723i 0.180548 0.230521i
\(355\) −2.27256 1.31206i −0.120615 0.0696370i
\(356\) 3.63877i 0.192855i
\(357\) 10.2934 + 11.3481i 0.544784 + 0.600606i
\(358\) −9.26309 + 5.34805i −0.489570 + 0.282653i
\(359\) −0.650209 1.12619i −0.0343167 0.0594383i 0.848357 0.529425i \(-0.177592\pi\)
−0.882674 + 0.469986i \(0.844259\pi\)
\(360\) −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
\(369\) 6.06238 20.9524i 0.315595 1.09074i
\(370\) 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
\(375\) 3.09661 3.95370i 0.159908 0.204168i
\(376\) 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 0.651694 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 −0.448660 0.893703i \(-0.648099\pi\)
−0.998299 + 0.0583003i \(0.981432\pi\)
\(384\) 1.36360 + 1.06799i 0.0695857 + 0.0545007i
\(385\) 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 0.970876 0.239583i \(-0.0770108\pi\)
0.277953 + 0.960595i \(0.410344\pi\)
\(390\) 3.34467 18.4714i 0.169364 0.935338i
\(391\) 8.29541i 0.419517i
\(392\) −6.60081 2.33008i −0.333391 0.117687i
\(393\) −2.03556 + 14.3589i −0.102680 + 0.724309i
\(394\) −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
\(399\) −23.0108 + 4.97924i −1.15198 + 0.249274i
\(400\) 2.01770 3.49476i 0.100885 0.174738i
\(401\) 5.32156 0.265746 0.132873 0.991133i \(-0.457580\pi\)
0.132873 + 0.991133i \(0.457580\pi\)
\(402\) 13.9603 + 1.97905i 0.696275 + 0.0987061i
\(403\) 18.0487 + 11.3636i 0.899072 + 0.566063i
\(404\) 6.53158 + 11.3130i 0.324958 + 0.562844i
\(405\) −14.4457 + 22.8733i −0.717815 + 1.13658i
\(406\) −8.80998 7.31977i −0.437232 0.363274i
\(407\) −8.97444 + 5.18139i −0.444846 + 0.256832i
\(408\) 4.55894 + 3.57064i 0.225701 + 0.176773i
\(409\) 17.5007 0.865356 0.432678 0.901548i \(-0.357569\pi\)
0.432678 + 0.901548i \(0.357569\pi\)
\(410\) 21.8547 1.07933
\(411\) −28.4813 22.3070i −1.40488 1.10033i
\(412\) 14.8587 8.57869i 0.732037 0.422642i
\(413\) −1.42102 + 8.29458i −0.0699239 + 0.408150i
\(414\) −7.22675 + 1.78345i −0.355176 + 0.0876515i
\(415\) −19.0269 32.9555i −0.933993 1.61772i
\(416\) −0.138085 + 3.60291i −0.00677015 + 0.176647i
\(417\) −24.6534 3.49495i −1.20728 0.171148i
\(418\) −20.7156 −1.01323
\(419\) −11.9702 + 20.7329i −0.584780 + 1.01287i 0.410122 + 0.912030i \(0.365486\pi\)
−0.994903 + 0.100839i \(0.967847\pi\)
\(420\) 13.1161 + 4.20862i 0.639998 + 0.205360i
\(421\) 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
\(426\) 0.212233 1.49710i 0.0102827 0.0725347i
\(427\) 13.5645 + 11.2700i 0.656431 + 0.545395i
\(428\) 2.02353i 0.0978109i
\(429\) 24.7780 + 4.48662i 1.19629 + 0.216616i
\(430\) 11.6462 + 6.72394i 0.561630 + 0.324257i
\(431\) −7.38913 12.7984i −0.355922 0.616475i 0.631353 0.775495i \(-0.282500\pi\)
−0.987275 + 0.159020i \(0.949166\pi\)
\(432\) 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
\(435\) 17.7447 + 13.8980i 0.850793 + 0.666356i
\(436\) −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
\(441\) −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 \(0.285322\pi\)
\(444\) −2.74476 + 3.50447i −0.130261 + 0.166315i
\(445\) −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 \(-0.847690\pi\)
0.0450883 0.998983i \(-0.485643\pi\)
\(450\) −11.6292 3.36481i −0.548206 0.158619i
\(451\) 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 −0.995871 0.0907832i \(-0.971063\pi\)
−0.419315 + 0.907841i \(0.637730\pi\)
\(462\) −5.64554 + 17.5942i −0.262654 + 0.818555i
\(463\) 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
\(465\) 18.9899 24.2460i 0.880636 1.12438i
\(466\) 3.29311 1.90128i 0.152550 0.0880751i
\(467\) 17.7900 + 30.8133i 0.823225 + 1.42587i 0.903268 + 0.429076i \(0.141161\pi\)
−0.0800430 + 0.996791i \(0.525506\pi\)
\(468\) 10.5931 2.18753i 0.489668 0.101119i
\(469\) −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
\(474\) −4.13519 + 29.1697i −0.189936 + 1.33981i
\(475\) 10.3661 + 17.9546i 0.475629 + 0.823814i
\(476\) −8.71857 1.49366i −0.399615 0.0684618i
\(477\) 8.18685 28.2948i 0.374850 1.29553i
\(478\) 8.77151 0.401199
\(479\) 6.44067 3.71852i 0.294282 0.169904i −0.345590 0.938386i \(-0.612321\pi\)
0.639871 + 0.768482i \(0.278988\pi\)
\(480\) 5.15482 + 0.730764i 0.235284 + 0.0333547i
\(481\) −9.25955 0.354881i −0.422199 0.0161812i
\(482\) −5.66694 −0.258122
\(483\) 8.42181 7.63907i 0.383205 0.347590i
\(484\) −2.62922 + 4.55395i −0.119510 + 0.206998i
\(485\) 5.76219 + 3.32680i 0.261647 + 0.151062i
\(486\) −15.3351 2.79884i −0.695616 0.126958i
\(487\) 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 0.556865 0.830603i \(-0.312004\pi\)
−0.440891 + 0.897561i \(0.645338\pi\)
\(492\) 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
\(495\) 10.1062 34.9282i 0.454238 1.56991i
\(496\) −2.95768 + 5.12285i −0.132804 + 0.230023i
\(497\) 0.800512 + 2.16656i 0.0359079 + 0.0971836i
\(498\) 13.5205 17.2627i 0.605867 0.773562i
\(499\) 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 \(-0.965111\pi\)
0.402268 0.915522i \(-0.368222\pi\)
\(504\) 0.573184 + 7.91653i 0.0255316 + 0.352630i
\(505\) 34.0058 + 19.6333i 1.51324 + 0.873668i
\(506\) 8.66423 5.00229i 0.385172 0.222379i
\(507\) 16.6121 + 15.2000i 0.737768 + 0.675054i
\(508\) 8.26677 14.3185i 0.366779 0.635279i
\(509\) 4.93479i 0.218731i 0.994002 + 0.109365i \(0.0348818\pi\)
−0.994002 + 0.109365i \(0.965118\pi\)
\(510\) 17.2342 + 2.44318i 0.763144 + 0.108186i
\(511\) 22.9504 27.6228i 1.01526 1.22196i
\(512\) −1.00000 −0.0441942
\(513\) 15.6135 + 21.6535i 0.689355 + 0.956025i
\(514\) 27.0624 1.19367
\(515\) 25.7866 44.6638i 1.13630 1.96812i
\(516\) −1.08763 + 7.67220i −0.0478804 + 0.337750i
\(517\) 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 −0.782829 0.622237i \(-0.786224\pi\)
0.930288 + 0.366831i \(0.119557\pi\)
\(522\) −3.60979 + 12.4759i −0.157996 + 0.546056i
\(523\) 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
\(525\) 18.0742 3.91104i 0.788825 0.170692i
\(526\) 12.6627 7.31080i 0.552119 0.318766i
\(527\) −9.88847 + 17.1273i −0.430749 + 0.746078i
\(528\) −0.980263 + 6.91480i −0.0426605 + 0.300928i
\(529\) 16.8437 0.732335
\(530\) 29.5133 1.28198
\(531\) 9.26426 2.28627i 0.402035 0.0992156i
\(532\) 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
\(535\) 3.04126 + 5.26761i 0.131485 + 0.227739i
\(536\) −7.04993 + 4.07028i −0.304510 + 0.175809i
\(537\) −18.3428 2.60033i −0.791549 0.112213i
\(538\) −28.7012 −1.23739
\(539\) −5.17126 27.7475i −0.222742 1.19517i
\(540\) −1.57678 15.5393i −0.0678539 0.668705i
\(541\) 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
\(543\) −16.9704 + 21.6676i −0.728271 + 0.929846i
\(544\) −3.34332 −0.143344
\(545\) −41.6066 −1.78223
\(546\) −12.6543 + 10.6239i −0.541556 + 0.454661i
\(547\) 31.5392 1.34852 0.674259 0.738495i \(-0.264463\pi\)
0.674259 + 0.738495i \(0.264463\pi\)
\(548\) 20.8869 0.892244
\(549\) 5.55789 19.2088i 0.237205 0.819811i
\(550\) 16.2715 0.693818
\(551\) 19.2619 11.1208i 0.820583 0.473764i
\(552\) 2.64989 3.38334i 0.112787 0.144004i
\(553\) −15.5973 42.2137i −0.663266 1.79511i
\(554\) −20.2042 −0.858394
\(555\) −1.87808 + 13.2480i −0.0797200 + 0.562347i
\(556\) 12.4500 7.18799i 0.527996 0.304839i
\(557\) −2.63266 4.55989i −0.111549 0.193209i 0.804846 0.593484i \(-0.202248\pi\)
−0.916395 + 0.400275i \(0.868915\pi\)
\(558\) 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
\(561\) −3.27733 + 23.1184i −0.138369 + 0.976059i
\(562\) −5.71978 −0.241275
\(563\) −42.1634 −1.77698 −0.888489 0.458898i \(-0.848244\pi\)
−0.888489 + 0.458898i \(0.848244\pi\)
\(564\) 11.4314 + 1.62055i 0.481349 + 0.0682375i
\(565\) 21.0960 36.5393i 0.887514 1.53722i
\(566\) 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
\(569\) 4.97346i 0.208498i −0.994551 0.104249i \(-0.966756\pi\)
0.994551 0.104249i \(-0.0332439\pi\)
\(570\) −16.4930 + 21.0580i −0.690816 + 0.882024i
\(571\) 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
\(576\) 0.718787 + 2.91262i 0.0299495 + 0.121359i
\(577\) 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
\(579\) −21.4531 3.04126i −0.891560 0.126390i
\(580\) −13.0132 −0.540342
\(581\) −5.65584 + 33.0135i −0.234644 + 1.36963i
\(582\) −0.538129 + 3.79597i −0.0223062 + 0.157348i
\(583\) 39.5898i 1.63964i
\(584\) 6.78690 11.7553i 0.280844 0.486436i
\(585\) 24.2881 21.6155i 1.00419 0.893690i
\(586\) 11.4769 6.62619i 0.474106 0.273725i
\(587\) 25.1460 + 14.5180i 1.03789 + 0.599224i 0.919234 0.393712i \(-0.128809\pi\)
0.118652 + 0.992936i \(0.462143\pi\)
\(588\) −6.51233 10.2269i −0.268564 0.421750i
\(589\) −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 −0.987305 0.158835i \(-0.949226\pi\)
−0.356097 + 0.934449i \(0.615893\pi\)
\(594\) 20.8448 2.11513i 0.855271 0.0867849i
\(595\) −24.9409 + 9.21529i −1.02248 + 0.377790i
\(596\) 4.93899 8.55458i 0.202309 0.350409i
\(597\) 8.09987 10.3418i 0.331506 0.423261i
\(598\) 8.93949 + 0.342614i 0.365563 + 0.0140105i
\(599\) −37.6285 21.7248i −1.53746 0.887653i −0.998987 0.0450101i \(-0.985668\pi\)
−0.538473 0.842643i \(-0.680999\pi\)
\(600\) 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
\(606\) −3.17579 + 22.4021i −0.129008 + 0.910022i
\(607\) −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
\(609\) −4.19580 19.3902i −0.170022 0.785730i
\(610\) 20.0360 0.811234
\(611\) 11.2112 + 21.2593i 0.453556 + 0.860058i
\(612\) 2.40313 + 9.73782i 0.0971410 + 0.393628i
\(613\) −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
\(615\) 29.8009 + 23.3406i 1.20169 + 0.941184i
\(616\) −3.69740 10.0069i −0.148973 0.403190i
\(617\) 3.33450 + 5.77553i 0.134242 + 0.232514i 0.925308 0.379217i \(-0.123807\pi\)
−0.791066 + 0.611731i \(0.790473\pi\)
\(618\) 29.4233 + 4.17113i 1.18358 + 0.167788i
\(619\) 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
\(624\) −4.03617 + 4.76543i −0.161576 + 0.190770i
\(625\) 14.4463 + 25.0217i 0.577851 + 1.00087i
\(626\) 23.6806 13.6720i 0.946469 0.546444i
\(627\) −28.2477 22.1241i −1.12811 0.883552i
\(628\) −7.68837 4.43888i −0.306799 0.177131i
\(629\) 8.59241i 0.342602i
\(630\) 13.3902 + 19.7467i 0.533480 + 0.786727i
\(631\) −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 \(-0.890746\pi\)
0.941672 0.336533i \(-0.109254\pi\)
\(642\) −2.16111 + 2.75927i −0.0852922 + 0.108900i
\(643\) 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 0.941758 0.336292i \(-0.109173\pi\)
−0.762117 + 0.647440i \(0.775840\pi\)
\(648\) 7.96669 4.18710i 0.312961 0.164485i
\(649\) −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
\(653\) 14.5764i 0.570420i −0.958465 0.285210i \(-0.907937\pi\)
0.958465 0.285210i \(-0.0920633\pi\)
\(654\) −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
\(657\) −39.1169 11.3181i −1.52610 0.441562i
\(658\) −16.5432 + 6.11247i −0.644922 + 0.238289i
\(659\) −23.2554 + 13.4265i −0.905901 + 0.523022i −0.879110 0.476619i \(-0.841862\pi\)
−0.0267913 + 0.999641i \(0.508529\pi\)
\(660\) 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
\(663\) −13.4942 + 15.9324i −0.524071 + 0.618762i
\(664\) 12.6597i 0.491292i
\(665\) 6.89931 40.2717i 0.267544 1.56167i
\(666\) −7.48550 + 1.84730i −0.290057 + 0.0715814i
\(667\) −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
\(672\) −3.07879 3.39426i −0.118767 0.130937i
\(673\) −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
\(675\) −12.2640 17.0081i −0.472040 0.654644i
\(676\) −12.9619 0.995011i −0.498533 0.0382697i
\(677\) 9.29724 + 16.1033i 0.357322 + 0.618900i 0.987512 0.157541i \(-0.0503566\pi\)
−0.630191 + 0.776441i \(0.717023\pi\)
\(678\) 24.0711 + 3.41239i 0.924445 + 0.131052i
\(679\) −2.02974 5.49343i −0.0778942 0.210818i
\(680\) −8.70327 + 5.02484i −0.333755 + 0.192694i
\(681\) −7.73293 + 9.87329i −0.296326 + 0.378345i
\(682\) −23.8518 −0.913331
\(683\) 33.1927 1.27008 0.635041 0.772478i \(-0.280983\pi\)
0.635041 + 0.772478i \(0.280983\pi\)
\(684\) −14.8054 4.28382i −0.566100 0.163796i
\(685\) 54.3724 31.3919i 2.07746 1.19942i
\(686\) 16.1723 + 9.02526i 0.617463 + 0.344586i
\(687\) 5.84016 41.1966i 0.222816 1.57175i
\(688\) −2.23692 3.87445i −0.0852816 0.147712i
\(689\) −18.8617 + 29.9578i −0.718572 + 1.14130i
\(690\) 1.81316 12.7901i 0.0690259 0.486910i
\(691\) −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
\(693\) −26.4887 + 17.9620i −1.00622 + 0.682319i
\(694\) 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
\(699\) 6.52103 + 0.924441i 0.246648 + 0.0349656i
\(700\) −6.82300 + 8.21208i −0.257885 + 0.310387i
\(701\) 5.92119i 0.223640i −0.993728 0.111820i \(-0.964332\pi\)
0.993728 0.111820i \(-0.0356681\pi\)
\(702\) 16.7810 + 8.33048i 0.633359 + 0.314414i
\(703\) 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
\(708\) −3.39700 + 4.33723i −0.127667 + 0.163003i
\(709\) −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
\(714\) −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
\(717\) 11.9608 + 9.36790i 0.446684 + 0.349851i
\(718\) 0.650209 + 1.12619i 0.0242656 + 0.0420292i
\(719\) −12.2366 + 21.1944i −0.456347 + 0.790416i −0.998765 0.0496928i \(-0.984176\pi\)
0.542418 + 0.840109i \(0.317509\pi\)
\(720\) 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
\(723\) −7.72741 6.05224i −0.287386 0.225085i
\(724\) 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
\(735\) −32.3233 16.8348i −1.19226 0.620960i
\(736\) 2.48119i 0.0914578i
\(737\) −28.4265 16.4121i −1.04711 0.604547i
\(738\) −6.06238 + 20.9524i −0.223159 + 0.771268i
\(739\) 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
\(741\) −10.8347 30.1994i −0.398021 1.10940i
\(742\) −19.9806 16.6009i −0.733512 0.609439i
\(743\) −3.45608 + 5.98611i −0.126791 + 0.219609i −0.922432 0.386160i \(-0.873801\pi\)
0.795640 + 0.605769i \(0.207135\pi\)
\(744\) −9.50424 + 3.82672i −0.348442 + 0.140294i
\(745\) 29.6922i 1.08784i
\(746\) 11.0125 19.0742i 0.403196 0.698357i
\(747\) 36.8729 9.09964i 1.34911 0.332938i
\(748\) −6.74043 11.6748i −0.246455 0.426872i
\(749\) 0.904029 5.27687i 0.0330325 0.192813i
\(750\) −3.09661 + 3.95370i −0.113072 + 0.144369i
\(751\) 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
\(753\) 1.99497 14.0725i 0.0727006 0.512832i
\(754\) 8.31659 13.2092i 0.302872 0.481049i
\(755\) −16.4572 −0.598937
\(756\) −7.67320 + 11.4071i −0.279072 + 0.414872i
\(757\) 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
\(759\) 17.1569 + 2.43222i 0.622756 + 0.0882839i
\(760\) 15.4430i 0.560177i
\(761\) 38.7363 + 22.3644i 1.40419 + 0.810710i 0.994819 0.101658i \(-0.0324148\pi\)
0.409371 + 0.912368i \(0.365748\pi\)
\(762\) 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
\(768\) −1.36360 1.06799i −0.0492045 0.0385378i
\(769\) 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
\(771\) 36.9021 + 28.9024i 1.32900 + 1.04089i
\(772\) 10.8338 6.25490i 0.389917 0.225119i
\(773\) 11.9051i 0.428197i −0.976812 0.214099i \(-0.931319\pi\)
0.976812 0.214099i \(-0.0686814\pi\)
\(774\) −9.67694 +