Properties

Label 770.2.n.e.71.2
Level $770$
Weight $2$
Character 770.71
Analytic conductor $6.148$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.n (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(2\) over \(\Q(\zeta_{5})\)
Coefficient field: 8.0.682515625.5
Defining polynomial: \(x^{8} - 3 x^{7} + 5 x^{6} + 2 x^{5} + 19 x^{4} + 28 x^{3} + 100 x^{2} + 88 x + 121\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 71.2
Root \(-1.20316 - 0.874145i\) of defining polynomial
Character \(\chi\) \(=\) 770.71
Dual form 770.2.n.e.141.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.309017 - 0.951057i) q^{2} +(0.743592 + 0.540251i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.309017 + 0.951057i) q^{5} +(0.284027 - 0.874145i) q^{6} +(0.809017 - 0.587785i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-0.665993 - 2.04972i) q^{9} +O(q^{10})\) \(q+(-0.309017 - 0.951057i) q^{2} +(0.743592 + 0.540251i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.309017 + 0.951057i) q^{5} +(0.284027 - 0.874145i) q^{6} +(0.809017 - 0.587785i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-0.665993 - 2.04972i) q^{9} +1.00000 q^{10} +(3.14565 + 1.05113i) q^{11} -0.919131 q^{12} +(1.15055 + 3.54102i) q^{13} +(-0.809017 - 0.587785i) q^{14} +(-0.743592 + 0.540251i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-0.406956 + 1.25248i) q^{17} +(-1.74359 + 1.26679i) q^{18} +(2.19034 + 1.59138i) q^{19} +(-0.309017 - 0.951057i) q^{20} +0.919131 q^{21} +(0.0276194 - 3.31651i) q^{22} -2.00000 q^{23} +(0.284027 + 0.874145i) q^{24} +(-0.809017 - 0.587785i) q^{25} +(3.01217 - 2.18847i) q^{26} +(1.46422 - 4.50639i) q^{27} +(-0.309017 + 0.951057i) q^{28} +(2.38662 - 1.73398i) q^{29} +(0.743592 + 0.540251i) q^{30} +(2.38197 + 7.33094i) q^{31} -1.00000 q^{32} +(1.77121 + 2.48105i) q^{33} +1.31694 q^{34} +(0.309017 + 0.951057i) q^{35} +(1.74359 + 1.26679i) q^{36} +(6.51153 - 4.73091i) q^{37} +(0.836636 - 2.57490i) q^{38} +(-1.05750 + 3.25466i) q^{39} +(-0.809017 + 0.587785i) q^{40} +(-2.62492 - 1.90711i) q^{41} +(-0.284027 - 0.874145i) q^{42} +6.48064 q^{43} +(-3.16272 + 0.998590i) q^{44} +2.15520 q^{45} +(0.618034 + 1.90211i) q^{46} +(7.58121 + 5.50807i) q^{47} +(0.743592 - 0.540251i) q^{48} +(0.309017 - 0.951057i) q^{49} +(-0.309017 + 0.951057i) q^{50} +(-0.979265 + 0.711477i) q^{51} +(-3.01217 - 2.18847i) q^{52} +(4.10522 + 12.6346i) q^{53} -4.73830 q^{54} +(-1.97174 + 2.66688i) q^{55} +1.00000 q^{56} +(0.768978 + 2.36667i) q^{57} +(-2.38662 - 1.73398i) q^{58} +(2.29684 - 1.66875i) q^{59} +(0.284027 - 0.874145i) q^{60} +(0.446995 - 1.37571i) q^{61} +(6.23607 - 4.53077i) q^{62} +(-1.74359 - 1.26679i) q^{63} +(0.309017 + 0.951057i) q^{64} -3.72325 q^{65} +(1.81229 - 2.45121i) q^{66} -6.70741 q^{67} +(-0.406956 - 1.25248i) q^{68} +(-1.48718 - 1.08050i) q^{69} +(0.809017 - 0.587785i) q^{70} +(2.48253 - 7.64046i) q^{71} +(0.665993 - 2.04972i) q^{72} +(1.07656 - 0.782169i) q^{73} +(-6.51153 - 4.73091i) q^{74} +(-0.284027 - 0.874145i) q^{75} -2.70741 q^{76} +(3.16272 - 0.998590i) q^{77} +3.42216 q^{78} +(-2.38662 - 7.34525i) q^{79} +(0.809017 + 0.587785i) q^{80} +(-1.70741 + 1.24051i) q^{81} +(-1.00263 + 3.08578i) q^{82} +(0.0881490 - 0.271295i) q^{83} +(-0.743592 + 0.540251i) q^{84} +(-1.06542 - 0.774076i) q^{85} +(-2.00263 - 6.16346i) q^{86} +2.71145 q^{87} +(1.92705 + 2.69935i) q^{88} -8.14015 q^{89} +(-0.665993 - 2.04972i) q^{90} +(3.01217 + 2.18847i) q^{91} +(1.61803 - 1.17557i) q^{92} +(-2.18934 + 6.73809i) q^{93} +(2.89577 - 8.91225i) q^{94} +(-2.19034 + 1.59138i) q^{95} +(-0.743592 - 0.540251i) q^{96} +(4.57295 + 14.0741i) q^{97} -1.00000 q^{98} +(0.0595253 - 7.14774i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q + 2q^{2} - q^{3} - 2q^{4} + 2q^{5} + q^{6} + 2q^{7} + 2q^{8} - 13q^{9} + O(q^{10}) \) \( 8q + 2q^{2} - q^{3} - 2q^{4} + 2q^{5} + q^{6} + 2q^{7} + 2q^{8} - 13q^{9} + 8q^{10} + 8q^{11} + 4q^{12} + 8q^{13} - 2q^{14} + q^{15} - 2q^{16} - 9q^{17} - 7q^{18} - 9q^{19} + 2q^{20} - 4q^{21} - 8q^{22} - 16q^{23} + q^{24} - 2q^{25} + 7q^{26} - 22q^{27} + 2q^{28} - q^{30} + 28q^{31} - 8q^{32} - q^{33} + 4q^{34} - 2q^{35} + 7q^{36} + 4q^{37} - 6q^{38} - 13q^{39} - 2q^{40} + 8q^{41} - q^{42} - 14q^{43} - 7q^{44} - 12q^{45} - 4q^{46} - q^{48} - 2q^{49} + 2q^{50} + 4q^{51} - 7q^{52} + 10q^{53} - 28q^{54} + 7q^{55} + 8q^{56} - 17q^{57} + 31q^{59} + q^{60} + 28q^{61} + 32q^{62} - 7q^{63} - 2q^{64} + 2q^{65} + 36q^{66} - 26q^{67} - 9q^{68} + 2q^{69} + 2q^{70} + 34q^{71} + 13q^{72} - 24q^{73} - 4q^{74} - q^{75} + 6q^{76} + 7q^{77} - 2q^{78} + 2q^{80} + 14q^{81} - 3q^{82} - 21q^{83} + q^{84} - 11q^{85} - 11q^{86} - 52q^{87} + 2q^{88} - 14q^{89} - 13q^{90} + 7q^{91} + 4q^{92} + 14q^{93} + 5q^{94} + 9q^{95} + q^{96} + 50q^{97} - 8q^{98} - 18q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{2}{5}\right)\) \(1\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.309017 0.951057i −0.218508 0.672499i
\(3\) 0.743592 + 0.540251i 0.429313 + 0.311914i 0.781374 0.624063i \(-0.214519\pi\)
−0.352061 + 0.935977i \(0.614519\pi\)
\(4\) −0.809017 + 0.587785i −0.404508 + 0.293893i
\(5\) −0.309017 + 0.951057i −0.138197 + 0.425325i
\(6\) 0.284027 0.874145i 0.115954 0.356868i
\(7\) 0.809017 0.587785i 0.305780 0.222162i
\(8\) 0.809017 + 0.587785i 0.286031 + 0.207813i
\(9\) −0.665993 2.04972i −0.221998 0.683239i
\(10\) 1.00000 0.316228
\(11\) 3.14565 + 1.05113i 0.948450 + 0.316926i
\(12\) −0.919131 −0.265330
\(13\) 1.15055 + 3.54102i 0.319105 + 0.982103i 0.974032 + 0.226411i \(0.0726993\pi\)
−0.654927 + 0.755692i \(0.727301\pi\)
\(14\) −0.809017 0.587785i −0.216219 0.157092i
\(15\) −0.743592 + 0.540251i −0.191995 + 0.139492i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) −0.406956 + 1.25248i −0.0987013 + 0.303771i −0.988201 0.153165i \(-0.951053\pi\)
0.889499 + 0.456937i \(0.151053\pi\)
\(18\) −1.74359 + 1.26679i −0.410969 + 0.298586i
\(19\) 2.19034 + 1.59138i 0.502499 + 0.365087i 0.809971 0.586470i \(-0.199483\pi\)
−0.307472 + 0.951557i \(0.599483\pi\)
\(20\) −0.309017 0.951057i −0.0690983 0.212663i
\(21\) 0.919131 0.200571
\(22\) 0.0276194 3.31651i 0.00588847 0.707082i
\(23\) −2.00000 −0.417029 −0.208514 0.978019i \(-0.566863\pi\)
−0.208514 + 0.978019i \(0.566863\pi\)
\(24\) 0.284027 + 0.874145i 0.0579768 + 0.178434i
\(25\) −0.809017 0.587785i −0.161803 0.117557i
\(26\) 3.01217 2.18847i 0.590736 0.429195i
\(27\) 1.46422 4.50639i 0.281788 0.867256i
\(28\) −0.309017 + 0.951057i −0.0583987 + 0.179733i
\(29\) 2.38662 1.73398i 0.443184 0.321992i −0.343715 0.939074i \(-0.611685\pi\)
0.786899 + 0.617082i \(0.211685\pi\)
\(30\) 0.743592 + 0.540251i 0.135761 + 0.0986360i
\(31\) 2.38197 + 7.33094i 0.427814 + 1.31668i 0.900274 + 0.435323i \(0.143366\pi\)
−0.472460 + 0.881352i \(0.656634\pi\)
\(32\) −1.00000 −0.176777
\(33\) 1.77121 + 2.48105i 0.308328 + 0.431896i
\(34\) 1.31694 0.225853
\(35\) 0.309017 + 0.951057i 0.0522334 + 0.160758i
\(36\) 1.74359 + 1.26679i 0.290599 + 0.211132i
\(37\) 6.51153 4.73091i 1.07049 0.777756i 0.0944894 0.995526i \(-0.469878\pi\)
0.976000 + 0.217770i \(0.0698781\pi\)
\(38\) 0.836636 2.57490i 0.135720 0.417704i
\(39\) −1.05750 + 3.25466i −0.169336 + 0.521163i
\(40\) −0.809017 + 0.587785i −0.127917 + 0.0929370i
\(41\) −2.62492 1.90711i −0.409943 0.297841i 0.363636 0.931541i \(-0.381535\pi\)
−0.773579 + 0.633700i \(0.781535\pi\)
\(42\) −0.284027 0.874145i −0.0438263 0.134884i
\(43\) 6.48064 0.988289 0.494145 0.869380i \(-0.335481\pi\)
0.494145 + 0.869380i \(0.335481\pi\)
\(44\) −3.16272 + 0.998590i −0.476798 + 0.150543i
\(45\) 2.15520 0.321278
\(46\) 0.618034 + 1.90211i 0.0911241 + 0.280451i
\(47\) 7.58121 + 5.50807i 1.10583 + 0.803435i 0.982002 0.188868i \(-0.0604819\pi\)
0.123831 + 0.992303i \(0.460482\pi\)
\(48\) 0.743592 0.540251i 0.107328 0.0779786i
\(49\) 0.309017 0.951057i 0.0441453 0.135865i
\(50\) −0.309017 + 0.951057i −0.0437016 + 0.134500i
\(51\) −0.979265 + 0.711477i −0.137124 + 0.0996268i
\(52\) −3.01217 2.18847i −0.417713 0.303487i
\(53\) 4.10522 + 12.6346i 0.563895 + 1.73549i 0.671211 + 0.741266i \(0.265774\pi\)
−0.107316 + 0.994225i \(0.534226\pi\)
\(54\) −4.73830 −0.644801
\(55\) −1.97174 + 2.66688i −0.265869 + 0.359602i
\(56\) 1.00000 0.133631
\(57\) 0.768978 + 2.36667i 0.101854 + 0.313473i
\(58\) −2.38662 1.73398i −0.313378 0.227683i
\(59\) 2.29684 1.66875i 0.299023 0.217253i −0.428149 0.903708i \(-0.640834\pi\)
0.727172 + 0.686455i \(0.240834\pi\)
\(60\) 0.284027 0.874145i 0.0366677 0.112852i
\(61\) 0.446995 1.37571i 0.0572318 0.176141i −0.918354 0.395760i \(-0.870481\pi\)
0.975586 + 0.219618i \(0.0704813\pi\)
\(62\) 6.23607 4.53077i 0.791981 0.575408i
\(63\) −1.74359 1.26679i −0.219672 0.159601i
\(64\) 0.309017 + 0.951057i 0.0386271 + 0.118882i
\(65\) −3.72325 −0.461813
\(66\) 1.81229 2.45121i 0.223077 0.301723i
\(67\) −6.70741 −0.819441 −0.409720 0.912211i \(-0.634374\pi\)
−0.409720 + 0.912211i \(0.634374\pi\)
\(68\) −0.406956 1.25248i −0.0493507 0.151886i
\(69\) −1.48718 1.08050i −0.179036 0.130077i
\(70\) 0.809017 0.587785i 0.0966960 0.0702538i
\(71\) 2.48253 7.64046i 0.294623 0.906755i −0.688725 0.725022i \(-0.741829\pi\)
0.983348 0.181733i \(-0.0581706\pi\)
\(72\) 0.665993 2.04972i 0.0784880 0.241561i
\(73\) 1.07656 0.782169i 0.126002 0.0915459i −0.522999 0.852333i \(-0.675187\pi\)
0.649001 + 0.760787i \(0.275187\pi\)
\(74\) −6.51153 4.73091i −0.756950 0.549957i
\(75\) −0.284027 0.874145i −0.0327966 0.100938i
\(76\) −2.70741 −0.310561
\(77\) 3.16272 0.998590i 0.360426 0.113800i
\(78\) 3.42216 0.387483
\(79\) −2.38662 7.34525i −0.268515 0.826405i −0.990863 0.134875i \(-0.956937\pi\)
0.722347 0.691530i \(-0.243063\pi\)
\(80\) 0.809017 + 0.587785i 0.0904508 + 0.0657164i
\(81\) −1.70741 + 1.24051i −0.189712 + 0.137834i
\(82\) −1.00263 + 3.08578i −0.110722 + 0.340767i
\(83\) 0.0881490 0.271295i 0.00967561 0.0297785i −0.946102 0.323868i \(-0.895017\pi\)
0.955778 + 0.294090i \(0.0950165\pi\)
\(84\) −0.743592 + 0.540251i −0.0811326 + 0.0589463i
\(85\) −1.06542 0.774076i −0.115562 0.0839604i
\(86\) −2.00263 6.16346i −0.215949 0.664623i
\(87\) 2.71145 0.290698
\(88\) 1.92705 + 2.69935i 0.205424 + 0.287751i
\(89\) −8.14015 −0.862854 −0.431427 0.902148i \(-0.641990\pi\)
−0.431427 + 0.902148i \(0.641990\pi\)
\(90\) −0.665993 2.04972i −0.0702018 0.216059i
\(91\) 3.01217 + 2.18847i 0.315762 + 0.229414i
\(92\) 1.61803 1.17557i 0.168692 0.122562i
\(93\) −2.18934 + 6.73809i −0.227024 + 0.698707i
\(94\) 2.89577 8.91225i 0.298675 0.919228i
\(95\) −2.19034 + 1.59138i −0.224724 + 0.163272i
\(96\) −0.743592 0.540251i −0.0758926 0.0551392i
\(97\) 4.57295 + 14.0741i 0.464313 + 1.42901i 0.859845 + 0.510555i \(0.170560\pi\)
−0.395532 + 0.918452i \(0.629440\pi\)
\(98\) −1.00000 −0.101015
\(99\) 0.0595253 7.14774i 0.00598252 0.718375i
\(100\) 1.00000 0.100000
\(101\) −4.35713 13.4099i −0.433550 1.33433i −0.894565 0.446938i \(-0.852514\pi\)
0.461014 0.887393i \(-0.347486\pi\)
\(102\) 0.979265 + 0.711477i 0.0969616 + 0.0704468i
\(103\) −9.51618 + 6.91391i −0.937658 + 0.681248i −0.947856 0.318700i \(-0.896754\pi\)
0.0101981 + 0.999948i \(0.496754\pi\)
\(104\) −1.15055 + 3.54102i −0.112821 + 0.347226i
\(105\) −0.284027 + 0.874145i −0.0277182 + 0.0853078i
\(106\) 10.7476 7.80859i 1.04390 0.758437i
\(107\) −16.0405 11.6541i −1.55070 1.12665i −0.943152 0.332362i \(-0.892154\pi\)
−0.607545 0.794285i \(-0.707846\pi\)
\(108\) 1.46422 + 4.50639i 0.140894 + 0.433628i
\(109\) −0.995533 −0.0953548 −0.0476774 0.998863i \(-0.515182\pi\)
−0.0476774 + 0.998863i \(0.515182\pi\)
\(110\) 3.14565 + 1.05113i 0.299926 + 0.100221i
\(111\) 7.39781 0.702169
\(112\) −0.309017 0.951057i −0.0291994 0.0898664i
\(113\) −8.95507 6.50624i −0.842422 0.612055i 0.0806243 0.996745i \(-0.474309\pi\)
−0.923046 + 0.384689i \(0.874309\pi\)
\(114\) 2.01321 1.46268i 0.188554 0.136993i
\(115\) 0.618034 1.90211i 0.0576320 0.177373i
\(116\) −0.911606 + 2.80564i −0.0846405 + 0.260497i
\(117\) 6.49184 4.71659i 0.600170 0.436049i
\(118\) −2.29684 1.66875i −0.211441 0.153621i
\(119\) 0.406956 + 1.25248i 0.0373056 + 0.114815i
\(120\) −0.919131 −0.0839048
\(121\) 8.79027 + 6.61295i 0.799115 + 0.601178i
\(122\) −1.44651 −0.130960
\(123\) −0.921548 2.83623i −0.0830931 0.255734i
\(124\) −6.23607 4.53077i −0.560015 0.406875i
\(125\) 0.809017 0.587785i 0.0723607 0.0525731i
\(126\) −0.665993 + 2.04972i −0.0593314 + 0.182603i
\(127\) 2.00930 6.18399i 0.178297 0.548741i −0.821472 0.570249i \(-0.806847\pi\)
0.999769 + 0.0215082i \(0.00684681\pi\)
\(128\) 0.809017 0.587785i 0.0715077 0.0519534i
\(129\) 4.81896 + 3.50118i 0.424286 + 0.308262i
\(130\) 1.15055 + 3.54102i 0.100910 + 0.310568i
\(131\) −21.7622 −1.90137 −0.950684 0.310160i \(-0.899617\pi\)
−0.950684 + 0.310160i \(0.899617\pi\)
\(132\) −2.89127 0.966122i −0.251652 0.0840901i
\(133\) 2.70741 0.234762
\(134\) 2.07270 + 6.37913i 0.179054 + 0.551073i
\(135\) 3.83337 + 2.78510i 0.329924 + 0.239704i
\(136\) −1.06542 + 0.774076i −0.0913594 + 0.0663765i
\(137\) −0.897411 + 2.76195i −0.0766710 + 0.235969i −0.982045 0.188645i \(-0.939590\pi\)
0.905374 + 0.424614i \(0.139590\pi\)
\(138\) −0.568054 + 1.74829i −0.0483560 + 0.148824i
\(139\) 1.02563 0.745164i 0.0869928 0.0632040i −0.543439 0.839449i \(-0.682878\pi\)
0.630432 + 0.776245i \(0.282878\pi\)
\(140\) −0.809017 0.587785i −0.0683744 0.0496769i
\(141\) 2.66159 + 8.19152i 0.224146 + 0.689851i
\(142\) −8.03365 −0.674169
\(143\) −0.102834 + 12.3482i −0.00859941 + 1.03261i
\(144\) −2.15520 −0.179600
\(145\) 0.911606 + 2.80564i 0.0757048 + 0.232995i
\(146\) −1.07656 0.782169i −0.0890970 0.0647328i
\(147\) 0.743592 0.540251i 0.0613305 0.0445592i
\(148\) −2.48718 + 7.65477i −0.204445 + 0.629218i
\(149\) 1.80926 5.56833i 0.148220 0.456176i −0.849191 0.528087i \(-0.822910\pi\)
0.997411 + 0.0719107i \(0.0229097\pi\)
\(150\) −0.743592 + 0.540251i −0.0607141 + 0.0441113i
\(151\) −8.27161 6.00967i −0.673134 0.489060i 0.197939 0.980214i \(-0.436575\pi\)
−0.871073 + 0.491154i \(0.836575\pi\)
\(152\) 0.836636 + 2.57490i 0.0678602 + 0.208852i
\(153\) 2.83826 0.229460
\(154\) −1.92705 2.69935i −0.155286 0.217520i
\(155\) −7.70820 −0.619138
\(156\) −1.05750 3.25466i −0.0846681 0.260582i
\(157\) −0.954670 0.693609i −0.0761910 0.0553560i 0.549038 0.835798i \(-0.314994\pi\)
−0.625229 + 0.780442i \(0.714994\pi\)
\(158\) −6.24824 + 4.53961i −0.497084 + 0.361152i
\(159\) −3.77323 + 11.6128i −0.299237 + 0.920956i
\(160\) 0.309017 0.951057i 0.0244299 0.0751876i
\(161\) −1.61803 + 1.17557i −0.127519 + 0.0926479i
\(162\) 1.70741 + 1.24051i 0.134147 + 0.0974635i
\(163\) 4.19701 + 12.9171i 0.328735 + 1.01174i 0.969726 + 0.244195i \(0.0785237\pi\)
−0.640991 + 0.767549i \(0.721476\pi\)
\(164\) 3.24458 0.253359
\(165\) −2.90696 + 0.917835i −0.226306 + 0.0714534i
\(166\) −0.285256 −0.0221402
\(167\) −3.70820 11.4127i −0.286949 0.883140i −0.985808 0.167879i \(-0.946308\pi\)
0.698858 0.715260i \(-0.253692\pi\)
\(168\) 0.743592 + 0.540251i 0.0573694 + 0.0416813i
\(169\) −0.697867 + 0.507030i −0.0536821 + 0.0390023i
\(170\) −0.406956 + 1.25248i −0.0312121 + 0.0960610i
\(171\) 1.80312 5.54943i 0.137888 0.424375i
\(172\) −5.24295 + 3.80923i −0.399771 + 0.290451i
\(173\) 10.0918 + 7.33210i 0.767263 + 0.557449i 0.901129 0.433550i \(-0.142739\pi\)
−0.133867 + 0.990999i \(0.542739\pi\)
\(174\) −0.837885 2.57875i −0.0635199 0.195494i
\(175\) −1.00000 −0.0755929
\(176\) 1.97174 2.66688i 0.148626 0.201024i
\(177\) 2.60946 0.196139
\(178\) 2.51544 + 7.74174i 0.188541 + 0.580268i
\(179\) −9.89390 7.18834i −0.739505 0.537281i 0.153051 0.988218i \(-0.451090\pi\)
−0.892556 + 0.450937i \(0.851090\pi\)
\(180\) −1.74359 + 1.26679i −0.129960 + 0.0944213i
\(181\) 6.48064 19.9454i 0.481703 1.48253i −0.354998 0.934867i \(-0.615518\pi\)
0.836700 0.547661i \(-0.184482\pi\)
\(182\) 1.15055 3.54102i 0.0852843 0.262478i
\(183\) 1.07561 0.781477i 0.0795114 0.0577684i
\(184\) −1.61803 1.17557i −0.119283 0.0866642i
\(185\) 2.48718 + 7.65477i 0.182861 + 0.562790i
\(186\) 7.08485 0.519486
\(187\) −2.59666 + 3.51211i −0.189886 + 0.256831i
\(188\) −9.37090 −0.683443
\(189\) −1.46422 4.50639i −0.106506 0.327792i
\(190\) 2.19034 + 1.59138i 0.158904 + 0.115451i
\(191\) −5.45789 + 3.96539i −0.394919 + 0.286925i −0.767468 0.641087i \(-0.778484\pi\)
0.372549 + 0.928012i \(0.378484\pi\)
\(192\) −0.284027 + 0.874145i −0.0204979 + 0.0630860i
\(193\) −6.17025 + 18.9901i −0.444144 + 1.36694i 0.439276 + 0.898352i \(0.355235\pi\)
−0.883420 + 0.468583i \(0.844765\pi\)
\(194\) 11.9721 8.69827i 0.859549 0.624499i
\(195\) −2.76858 2.01149i −0.198262 0.144046i
\(196\) 0.309017 + 0.951057i 0.0220726 + 0.0679326i
\(197\) −21.1717 −1.50842 −0.754212 0.656631i \(-0.771981\pi\)
−0.754212 + 0.656631i \(0.771981\pi\)
\(198\) −6.81630 + 2.15216i −0.484413 + 0.152947i
\(199\) 8.27872 0.586863 0.293431 0.955980i \(-0.405203\pi\)
0.293431 + 0.955980i \(0.405203\pi\)
\(200\) −0.309017 0.951057i −0.0218508 0.0672499i
\(201\) −4.98758 3.62369i −0.351797 0.255595i
\(202\) −11.4071 + 8.28775i −0.802601 + 0.583124i
\(203\) 0.911606 2.80564i 0.0639822 0.196917i
\(204\) 0.374046 1.15119i 0.0261884 0.0805997i
\(205\) 2.62492 1.90711i 0.183332 0.133199i
\(206\) 9.51618 + 6.91391i 0.663024 + 0.481715i
\(207\) 1.33199 + 4.09943i 0.0925794 + 0.284930i
\(208\) 3.72325 0.258161
\(209\) 5.21732 + 7.30825i 0.360890 + 0.505522i
\(210\) 0.919131 0.0634260
\(211\) −4.81794 14.8281i −0.331681 1.02081i −0.968334 0.249658i \(-0.919682\pi\)
0.636653 0.771150i \(-0.280318\pi\)
\(212\) −10.7476 7.80859i −0.738148 0.536296i
\(213\) 5.97376 4.34019i 0.409315 0.297385i
\(214\) −6.12694 + 18.8568i −0.418829 + 1.28902i
\(215\) −2.00263 + 6.16346i −0.136578 + 0.420344i
\(216\) 3.83337 2.78510i 0.260828 0.189502i
\(217\) 6.23607 + 4.53077i 0.423332 + 0.307569i
\(218\) 0.307637 + 0.946808i 0.0208358 + 0.0641259i
\(219\) 1.22309 0.0826489
\(220\) 0.0276194 3.31651i 0.00186210 0.223599i
\(221\) −4.90329 −0.329831
\(222\) −2.28605 7.03573i −0.153429 0.472207i
\(223\) 13.4550 + 9.77564i 0.901014 + 0.654625i 0.938726 0.344663i \(-0.112007\pi\)
−0.0377119 + 0.999289i \(0.512007\pi\)
\(224\) −0.809017 + 0.587785i −0.0540547 + 0.0392731i
\(225\) −0.665993 + 2.04972i −0.0443995 + 0.136648i
\(226\) −3.42053 + 10.5273i −0.227530 + 0.700266i
\(227\) 0.968522 0.703672i 0.0642831 0.0467044i −0.555180 0.831730i \(-0.687351\pi\)
0.619463 + 0.785026i \(0.287351\pi\)
\(228\) −2.01321 1.46268i −0.133328 0.0968686i
\(229\) 4.59240 + 14.1340i 0.303475 + 0.933999i 0.980242 + 0.197802i \(0.0633803\pi\)
−0.676767 + 0.736197i \(0.736620\pi\)
\(230\) −2.00000 −0.131876
\(231\) 2.89127 + 0.966122i 0.190231 + 0.0635661i
\(232\) 2.95002 0.193678
\(233\) 1.95669 + 6.02208i 0.128187 + 0.394519i 0.994468 0.105037i \(-0.0334962\pi\)
−0.866281 + 0.499557i \(0.833496\pi\)
\(234\) −6.49184 4.71659i −0.424385 0.308333i
\(235\) −7.58121 + 5.50807i −0.494544 + 0.359307i
\(236\) −0.877316 + 2.70010i −0.0571084 + 0.175762i
\(237\) 2.19361 6.75124i 0.142490 0.438540i
\(238\) 1.06542 0.774076i 0.0690612 0.0501759i
\(239\) −9.45789 6.87156i −0.611780 0.444484i 0.238261 0.971201i \(-0.423423\pi\)
−0.850041 + 0.526717i \(0.823423\pi\)
\(240\) 0.284027 + 0.874145i 0.0183339 + 0.0564258i
\(241\) −10.3945 −0.669566 −0.334783 0.942295i \(-0.608663\pi\)
−0.334783 + 0.942295i \(0.608663\pi\)
\(242\) 3.57295 10.4036i 0.229678 0.668766i
\(243\) −16.1547 −1.03633
\(244\) 0.446995 + 1.37571i 0.0286159 + 0.0880707i
\(245\) 0.809017 + 0.587785i 0.0516862 + 0.0375522i
\(246\) −2.41264 + 1.75289i −0.153824 + 0.111760i
\(247\) −3.11501 + 9.58701i −0.198203 + 0.610007i
\(248\) −2.38197 + 7.33094i −0.151255 + 0.465515i
\(249\) 0.212114 0.154110i 0.0134422 0.00976633i
\(250\) −0.809017 0.587785i −0.0511667 0.0371748i
\(251\) −6.90329 21.2461i −0.435732 1.34104i −0.892335 0.451374i \(-0.850934\pi\)
0.456603 0.889671i \(-0.349066\pi\)
\(252\) 2.15520 0.135765
\(253\) −6.29131 2.10225i −0.395531 0.132167i
\(254\) −6.50223 −0.407986
\(255\) −0.374046 1.15119i −0.0234237 0.0720906i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) 4.27323 3.10469i 0.266557 0.193665i −0.446476 0.894796i \(-0.647321\pi\)
0.713033 + 0.701131i \(0.247321\pi\)
\(258\) 1.84068 5.66503i 0.114596 0.352689i
\(259\) 2.48718 7.65477i 0.154546 0.475644i
\(260\) 3.01217 2.18847i 0.186807 0.135723i
\(261\) −5.14363 3.73707i −0.318383 0.231319i
\(262\) 6.72488 + 20.6970i 0.415464 + 1.27867i
\(263\) −25.3847 −1.56529 −0.782645 0.622469i \(-0.786130\pi\)
−0.782645 + 0.622469i \(0.786130\pi\)
\(264\) −0.0253858 + 3.04831i −0.00156239 + 0.187610i
\(265\) −13.2848 −0.816077
\(266\) −0.836636 2.57490i −0.0512975 0.157877i
\(267\) −6.05295 4.39773i −0.370435 0.269137i
\(268\) 5.42641 3.94252i 0.331471 0.240828i
\(269\) −4.75213 + 14.6256i −0.289743 + 0.891736i 0.695194 + 0.718822i \(0.255318\pi\)
−0.984937 + 0.172914i \(0.944682\pi\)
\(270\) 1.46422 4.50639i 0.0891093 0.274250i
\(271\) 8.35505 6.07030i 0.507533 0.368745i −0.304354 0.952559i \(-0.598440\pi\)
0.811887 + 0.583814i \(0.198440\pi\)
\(272\) 1.06542 + 0.774076i 0.0646009 + 0.0469353i
\(273\) 1.05750 + 3.25466i 0.0640031 + 0.196981i
\(274\) 2.90408 0.175442
\(275\) −1.92705 2.69935i −0.116206 0.162777i
\(276\) 1.83826 0.110650
\(277\) 7.03365 + 21.6473i 0.422611 + 1.30066i 0.905263 + 0.424851i \(0.139674\pi\)
−0.482652 + 0.875812i \(0.660326\pi\)
\(278\) −1.02563 0.745164i −0.0615132 0.0446920i
\(279\) 13.4400 9.76471i 0.804630 0.584598i
\(280\) −0.309017 + 0.951057i −0.0184673 + 0.0568365i
\(281\) 0.951432 2.92821i 0.0567577 0.174682i −0.918659 0.395052i \(-0.870726\pi\)
0.975416 + 0.220370i \(0.0707265\pi\)
\(282\) 6.96813 5.06264i 0.414946 0.301476i
\(283\) −8.88231 6.45338i −0.527999 0.383613i 0.291610 0.956537i \(-0.405809\pi\)
−0.819609 + 0.572924i \(0.805809\pi\)
\(284\) 2.48253 + 7.64046i 0.147311 + 0.453378i
\(285\) −2.48847 −0.147404
\(286\) 11.7756 3.71800i 0.696307 0.219850i
\(287\) −3.24458 −0.191521
\(288\) 0.665993 + 2.04972i 0.0392440 + 0.120781i
\(289\) 12.3502 + 8.97294i 0.726482 + 0.527820i
\(290\) 2.38662 1.73398i 0.140147 0.101823i
\(291\) −4.20314 + 12.9359i −0.246392 + 0.758318i
\(292\) −0.411210 + 1.26558i −0.0240643 + 0.0740622i
\(293\) 6.51361 4.73241i 0.380529 0.276470i −0.381034 0.924561i \(-0.624432\pi\)
0.761563 + 0.648090i \(0.224432\pi\)
\(294\) −0.743592 0.540251i −0.0433672 0.0315081i
\(295\) 0.877316 + 2.70010i 0.0510793 + 0.157206i
\(296\) 8.04870 0.467821
\(297\) 9.34270 12.6365i 0.542118 0.733243i
\(298\) −5.85489 −0.339165
\(299\) −2.30110 7.08205i −0.133076 0.409565i
\(300\) 0.743592 + 0.540251i 0.0429313 + 0.0311914i
\(301\) 5.24295 3.80923i 0.302199 0.219560i
\(302\) −3.15947 + 9.72386i −0.181807 + 0.559545i
\(303\) 4.00477 12.3254i 0.230068 0.708076i
\(304\) 2.19034 1.59138i 0.125625 0.0912717i
\(305\) 1.17025 + 0.850235i 0.0670082 + 0.0486843i
\(306\) −0.877071 2.69935i −0.0501388 0.154311i
\(307\) 27.5963 1.57501 0.787503 0.616311i \(-0.211373\pi\)
0.787503 + 0.616311i \(0.211373\pi\)
\(308\) −1.97174 + 2.66688i −0.112350 + 0.151960i
\(309\) −10.8114 −0.615040
\(310\) 2.38197 + 7.33094i 0.135287 + 0.416369i
\(311\) −24.0982 17.5084i −1.36648 0.992808i −0.998003 0.0631724i \(-0.979878\pi\)
−0.368480 0.929636i \(-0.620122\pi\)
\(312\) −2.76858 + 2.01149i −0.156740 + 0.113878i
\(313\) 9.55335 29.4022i 0.539987 1.66191i −0.192632 0.981271i \(-0.561702\pi\)
0.732619 0.680639i \(-0.238298\pi\)
\(314\) −0.364652 + 1.12228i −0.0205785 + 0.0633341i
\(315\) 1.74359 1.26679i 0.0982403 0.0713758i
\(316\) 6.24824 + 4.53961i 0.351491 + 0.255373i
\(317\) −0.717505 2.20825i −0.0402991 0.124028i 0.928883 0.370373i \(-0.120770\pi\)
−0.969182 + 0.246345i \(0.920770\pi\)
\(318\) 12.2104 0.684727
\(319\) 9.33010 2.94586i 0.522385 0.164937i
\(320\) −1.00000 −0.0559017
\(321\) −5.63146 17.3318i −0.314317 0.967369i
\(322\) 1.61803 + 1.17557i 0.0901695 + 0.0655120i
\(323\) −2.88454 + 2.09574i −0.160500 + 0.116610i
\(324\) 0.652173 2.00718i 0.0362319 0.111510i
\(325\) 1.15055 3.54102i 0.0638209 0.196421i
\(326\) 10.9879 7.98319i 0.608565 0.442148i
\(327\) −0.740271 0.537838i −0.0409371 0.0297425i
\(328\) −1.00263 3.08578i −0.0553609 0.170383i
\(329\) 9.37090 0.516634
\(330\) 1.77121 + 2.48105i 0.0975020 + 0.136577i
\(331\) −9.95686 −0.547279 −0.273639 0.961832i \(-0.588227\pi\)
−0.273639 + 0.961832i \(0.588227\pi\)
\(332\) 0.0881490 + 0.271295i 0.00483781 + 0.0148892i
\(333\) −14.0337 10.1960i −0.769039 0.558740i
\(334\) −9.70820 + 7.05342i −0.531209 + 0.385946i
\(335\) 2.07270 6.37913i 0.113244 0.348529i
\(336\) 0.284027 0.874145i 0.0154949 0.0476885i
\(337\) 16.8018 12.2072i 0.915254 0.664971i −0.0270839 0.999633i \(-0.508622\pi\)
0.942338 + 0.334662i \(0.108622\pi\)
\(338\) 0.697867 + 0.507030i 0.0379590 + 0.0275788i
\(339\) −3.14392 9.67598i −0.170754 0.525527i
\(340\) 1.31694 0.0714210
\(341\) −0.212896 + 25.5643i −0.0115290 + 1.38439i
\(342\) −5.83501 −0.315521
\(343\) −0.309017 0.951057i −0.0166853 0.0513522i
\(344\) 5.24295 + 3.80923i 0.282681 + 0.205380i
\(345\) 1.48718 1.08050i 0.0800673 0.0581723i
\(346\) 3.85471 11.8636i 0.207231 0.637790i
\(347\) −4.87029 + 14.9892i −0.261451 + 0.804662i 0.731039 + 0.682335i \(0.239036\pi\)
−0.992490 + 0.122327i \(0.960964\pi\)
\(348\) −2.19361 + 1.59375i −0.117590 + 0.0854341i
\(349\) 18.8463 + 13.6926i 1.00882 + 0.732949i 0.963961 0.266044i \(-0.0857166\pi\)
0.0448574 + 0.998993i \(0.485717\pi\)
\(350\) 0.309017 + 0.951057i 0.0165177 + 0.0508361i
\(351\) 17.6419 0.941655
\(352\) −3.14565 1.05113i −0.167664 0.0560252i
\(353\) 27.1303 1.44400 0.721999 0.691894i \(-0.243224\pi\)
0.721999 + 0.691894i \(0.243224\pi\)
\(354\) −0.806368 2.48174i −0.0428580 0.131903i
\(355\) 6.49936 + 4.72206i 0.344950 + 0.250621i
\(356\) 6.58552 4.78466i 0.349032 0.253586i
\(357\) −0.374046 + 1.15119i −0.0197966 + 0.0609277i
\(358\) −3.77913 + 11.6310i −0.199733 + 0.614716i
\(359\) 25.9401 18.8466i 1.36907 0.994685i 0.371258 0.928530i \(-0.378927\pi\)
0.997809 0.0661555i \(-0.0210733\pi\)
\(360\) 1.74359 + 1.26679i 0.0918954 + 0.0667659i
\(361\) −3.60620 11.0988i −0.189800 0.584145i
\(362\) −20.9718 −1.10225
\(363\) 2.96372 + 9.66630i 0.155555 + 0.507349i
\(364\) −3.72325 −0.195151
\(365\) 0.411210 + 1.26558i 0.0215237 + 0.0662433i
\(366\) −1.07561 0.781477i −0.0562231 0.0408484i
\(367\) 9.38760 6.82049i 0.490029 0.356027i −0.315167 0.949036i \(-0.602060\pi\)
0.805195 + 0.593010i \(0.202060\pi\)
\(368\) −0.618034 + 1.90211i −0.0322172 + 0.0991545i
\(369\) −2.16087 + 6.65046i −0.112490 + 0.346209i
\(370\) 6.51153 4.73091i 0.338519 0.245948i
\(371\) 10.7476 + 7.80859i 0.557988 + 0.405402i
\(372\) −2.18934 6.73809i −0.113512 0.349354i
\(373\) 17.7252 0.917777 0.458889 0.888494i \(-0.348248\pi\)
0.458889 + 0.888494i \(0.348248\pi\)
\(374\) 4.14263 + 1.38427i 0.214210 + 0.0715787i
\(375\) 0.919131 0.0474637
\(376\) 2.89577 + 8.91225i 0.149338 + 0.459614i
\(377\) 8.88598 + 6.45604i 0.457651 + 0.332503i
\(378\) −3.83337 + 2.78510i −0.197167 + 0.143250i
\(379\) −3.72490 + 11.4641i −0.191335 + 0.588869i 0.808665 + 0.588270i \(0.200191\pi\)
−1.00000 0.000599140i \(0.999809\pi\)
\(380\) 0.836636 2.57490i 0.0429185 0.132090i
\(381\) 4.83501 3.51284i 0.247705 0.179968i
\(382\) 5.45789 + 3.96539i 0.279250 + 0.202887i
\(383\) 2.08753 + 6.42475i 0.106668 + 0.328289i 0.990118 0.140235i \(-0.0447858\pi\)
−0.883451 + 0.468524i \(0.844786\pi\)
\(384\) 0.919131 0.0469042
\(385\) −0.0276194 + 3.31651i −0.00140761 + 0.169025i
\(386\) 19.9673 1.01631
\(387\) −4.31606 13.2835i −0.219398 0.675237i
\(388\) −11.9721 8.69827i −0.607793 0.441588i
\(389\) 19.5330 14.1916i 0.990363 0.719541i 0.0303624 0.999539i \(-0.490334\pi\)
0.960001 + 0.279998i \(0.0903339\pi\)
\(390\) −1.05750 + 3.25466i −0.0535488 + 0.164806i
\(391\) 0.813912 2.50496i 0.0411613 0.126681i
\(392\) 0.809017 0.587785i 0.0408615 0.0296876i
\(393\) −16.1822 11.7570i −0.816283 0.593064i
\(394\) 6.54242 + 20.1355i 0.329603 + 1.01441i
\(395\) 7.72325 0.388599
\(396\) 4.15318 + 5.81763i 0.208705 + 0.292347i
\(397\) 10.5163 0.527798 0.263899 0.964550i \(-0.414991\pi\)
0.263899 + 0.964550i \(0.414991\pi\)
\(398\) −2.55826 7.87353i −0.128234 0.394664i
\(399\) 2.01321 + 1.46268i 0.100787 + 0.0732258i
\(400\) −0.809017 + 0.587785i −0.0404508 + 0.0293893i
\(401\) −11.4953 + 35.3790i −0.574049 + 1.76674i 0.0653443 + 0.997863i \(0.479185\pi\)
−0.639394 + 0.768880i \(0.720815\pi\)
\(402\) −1.90509 + 5.86325i −0.0950171 + 0.292432i
\(403\) −23.2185 + 16.8692i −1.15659 + 0.840315i
\(404\) 11.4071 + 8.28775i 0.567525 + 0.412331i
\(405\) −0.652173 2.00718i −0.0324068 0.0997377i
\(406\) −2.95002 −0.146407
\(407\) 25.4558 8.03735i 1.26180 0.398397i
\(408\) −1.21044 −0.0599256
\(409\) −8.15520 25.0991i −0.403249 1.24107i −0.922349 0.386358i \(-0.873733\pi\)
0.519100 0.854713i \(-0.326267\pi\)
\(410\) −2.62492 1.90711i −0.129635 0.0941857i
\(411\) −2.15945 + 1.56893i −0.106518 + 0.0773898i
\(412\) 3.63486 11.1869i 0.179077 0.551141i
\(413\) 0.877316 2.70010i 0.0431699 0.132863i
\(414\) 3.48718 2.53359i 0.171386 0.124519i
\(415\) 0.230777 + 0.167669i 0.0113284 + 0.00823057i
\(416\) −1.15055 3.54102i −0.0564103 0.173613i
\(417\) 1.16523 0.0570614
\(418\) 5.33831 7.22034i 0.261105 0.353158i
\(419\) 13.0447 0.637273 0.318637 0.947877i \(-0.396775\pi\)
0.318637 + 0.947877i \(0.396775\pi\)
\(420\) −0.284027 0.874145i −0.0138591 0.0426539i
\(421\) 10.8821 + 7.90632i 0.530362 + 0.385331i 0.820493 0.571656i \(-0.193699\pi\)
−0.290131 + 0.956987i \(0.593699\pi\)
\(422\) −12.6135 + 9.16427i −0.614017 + 0.446110i
\(423\) 6.24095 19.2077i 0.303445 0.933909i
\(424\) −4.10522 + 12.6346i −0.199367 + 0.613589i
\(425\) 1.06542 0.774076i 0.0516807 0.0375482i
\(426\) −5.97376 4.34019i −0.289430 0.210283i
\(427\) −0.446995 1.37571i −0.0216316 0.0665752i
\(428\) 19.8272 0.958383
\(429\) −6.74760 + 9.12647i −0.325777 + 0.440630i
\(430\) 6.48064 0.312524
\(431\) −10.1188 31.1424i −0.487405 1.50008i −0.828467 0.560038i \(-0.810787\pi\)
0.341062 0.940041i \(-0.389213\pi\)
\(432\) −3.83337 2.78510i −0.184433 0.133998i
\(433\) −7.28467 + 5.29262i −0.350079 + 0.254347i −0.748902 0.662681i \(-0.769419\pi\)
0.398823 + 0.917028i \(0.369419\pi\)
\(434\) 2.38197 7.33094i 0.114338 0.351896i
\(435\) −0.837885 + 2.57875i −0.0401735 + 0.123641i
\(436\) 0.805403 0.585160i 0.0385718 0.0280241i
\(437\) −4.38069 3.18275i −0.209557 0.152252i
\(438\) −0.377956 1.16323i −0.0180594 0.0555813i
\(439\) −3.88952 −0.185637 −0.0928184 0.995683i \(-0.529588\pi\)
−0.0928184 + 0.995683i \(0.529588\pi\)
\(440\) −3.16272 + 0.998590i −0.150777 + 0.0476059i
\(441\) −2.15520 −0.102629
\(442\) 1.51520 + 4.66331i 0.0720707 + 0.221811i
\(443\) −4.55782 3.31145i −0.216548 0.157332i 0.474223 0.880405i \(-0.342729\pi\)
−0.690772 + 0.723073i \(0.742729\pi\)
\(444\) −5.98495 + 4.34832i −0.284033 + 0.206362i
\(445\) 2.51544 7.74174i 0.119244 0.366994i
\(446\) 5.13936 15.8173i 0.243356 0.748972i
\(447\) 4.35365 3.16312i 0.205921 0.149610i
\(448\) 0.809017 + 0.587785i 0.0382225 + 0.0277702i
\(449\) −1.73932 5.35307i −0.0820835 0.252627i 0.901589 0.432593i \(-0.142401\pi\)
−0.983673 + 0.179966i \(0.942401\pi\)
\(450\) 2.15520 0.101597
\(451\) −6.25247 8.75824i −0.294417 0.412409i
\(452\) 11.0691 0.520645
\(453\) −2.90397 8.93750i −0.136440 0.419920i
\(454\) −0.968522 0.703672i −0.0454550 0.0330250i
\(455\) −3.01217 + 2.18847i −0.141213 + 0.102597i
\(456\) −0.768978 + 2.36667i −0.0360107 + 0.110830i
\(457\) −0.357748 + 1.10103i −0.0167347 + 0.0515042i −0.959075 0.283152i \(-0.908620\pi\)
0.942340 + 0.334656i \(0.108620\pi\)
\(458\) 12.0231 8.73527i 0.561801 0.408172i
\(459\) 5.04830 + 3.66781i 0.235635 + 0.171199i
\(460\) 0.618034 + 1.90211i 0.0288160 + 0.0886865i
\(461\) −10.3088 −0.480129 −0.240065 0.970757i \(-0.577169\pi\)
−0.240065 + 0.970757i \(0.577169\pi\)
\(462\) 0.0253858 3.04831i 0.00118106 0.141820i
\(463\) −29.4740 −1.36977 −0.684887 0.728649i \(-0.740149\pi\)
−0.684887 + 0.728649i \(0.740149\pi\)
\(464\) −0.911606 2.80564i −0.0423203 0.130248i
\(465\) −5.73176 4.16437i −0.265804 0.193118i
\(466\) 5.12268 3.72185i 0.237304 0.172411i
\(467\) 6.36503 19.5895i 0.294538 0.906496i −0.688838 0.724916i \(-0.741879\pi\)
0.983376 0.181580i \(-0.0581212\pi\)
\(468\) −2.47966 + 7.63161i −0.114622 + 0.352771i
\(469\) −5.42641 + 3.94252i −0.250568 + 0.182049i
\(470\) 7.58121 + 5.50807i 0.349695 + 0.254069i
\(471\) −0.335163 1.03152i −0.0154435 0.0475301i
\(472\) 2.83905 0.130678
\(473\) 20.3859 + 6.81197i 0.937343 + 0.313215i
\(474\) −7.09868 −0.326053
\(475\) −0.836636 2.57490i −0.0383875 0.118145i
\(476\) −1.06542 0.774076i −0.0488337 0.0354797i
\(477\) 23.1632 16.8291i 1.06057 0.770550i
\(478\) −3.61259 + 11.1184i −0.165236 + 0.508544i
\(479\) 1.29332 3.98042i 0.0590931 0.181870i −0.917153 0.398536i \(-0.869518\pi\)
0.976246 + 0.216666i \(0.0695184\pi\)
\(480\) 0.743592 0.540251i 0.0339402 0.0246590i
\(481\) 24.2441 + 17.6144i 1.10544 + 0.803146i
\(482\) 3.21206 + 9.88571i 0.146305 + 0.450282i
\(483\) −1.83826 −0.0836438
\(484\) −10.9985 0.183200i −0.499931 0.00832727i
\(485\) −14.7984 −0.671960
\(486\) 4.99208 + 15.3640i 0.226445 + 0.696927i
\(487\) 6.52658 + 4.74184i 0.295748 + 0.214873i 0.725757 0.687951i \(-0.241490\pi\)
−0.430009 + 0.902824i \(0.641490\pi\)
\(488\) 1.17025 0.850235i 0.0529746 0.0384883i
\(489\) −3.85760 + 11.8725i −0.174447 + 0.536892i
\(490\) 0.309017 0.951057i 0.0139600 0.0429644i
\(491\) −19.0833 + 13.8648i −0.861217 + 0.625711i −0.928216 0.372043i \(-0.878658\pi\)
0.0669990 + 0.997753i \(0.478658\pi\)
\(492\) 2.41264 + 1.75289i 0.108770 + 0.0790263i
\(493\) 1.20053 + 3.69485i 0.0540691 + 0.166408i
\(494\) 10.0804 0.453538
\(495\) 6.77951 + 2.26538i 0.304716 + 0.101821i
\(496\) 7.70820 0.346109
\(497\) −2.48253 7.64046i −0.111357 0.342721i
\(498\) −0.212114 0.154110i −0.00950507 0.00690584i
\(499\) −5.84257 + 4.24487i −0.261549 + 0.190027i −0.710830 0.703364i \(-0.751680\pi\)
0.449281 + 0.893391i \(0.351680\pi\)
\(500\) −0.309017 + 0.951057i −0.0138197 + 0.0425325i
\(501\) 3.40832 10.4897i 0.152273 0.468647i
\(502\) −18.0730 + 13.1308i −0.806640 + 0.586058i
\(503\) −9.20884 6.69062i −0.410602 0.298320i 0.363243 0.931694i \(-0.381669\pi\)
−0.773846 + 0.633374i \(0.781669\pi\)
\(504\) −0.665993 2.04972i −0.0296657 0.0913016i
\(505\) 14.1000 0.627440
\(506\) −0.0552388 + 6.63302i −0.00245566 + 0.294874i
\(507\) −0.792852 −0.0352118
\(508\) 2.00930 + 6.18399i 0.0891483 + 0.274370i
\(509\) −9.82321 7.13698i −0.435406 0.316341i 0.348401 0.937346i \(-0.386725\pi\)
−0.783807 + 0.621005i \(0.786725\pi\)
\(510\) −0.979265 + 0.711477i −0.0433626 + 0.0315047i
\(511\) 0.411210 1.26558i 0.0181909 0.0559858i
\(512\) −0.309017 + 0.951057i −0.0136568 + 0.0420312i
\(513\) 10.3785 7.54042i 0.458222 0.332918i
\(514\) −4.27323 3.10469i −0.188484 0.136942i
\(515\) −3.63486 11.1869i −0.160171 0.492956i
\(516\) −5.95656 −0.262223
\(517\) 18.0582 + 25.2953i 0.794198 + 1.11249i
\(518\) −8.04870 −0.353640
\(519\) 3.54298 + 10.9042i 0.155520 + 0.478640i
\(520\) −3.01217 2.18847i −0.132093 0.0959709i
\(521\) −9.83480 + 7.14540i −0.430870 + 0.313046i −0.781997 0.623282i \(-0.785799\pi\)
0.351126 + 0.936328i \(0.385799\pi\)
\(522\) −1.96469 + 6.04670i −0.0859923 + 0.264657i
\(523\) −9.06035 + 27.8849i −0.396181 + 1.21932i 0.531856 + 0.846835i \(0.321495\pi\)
−0.928038 + 0.372486i \(0.878505\pi\)
\(524\) 17.6060 12.7915i 0.769120 0.558798i
\(525\) −0.743592 0.540251i −0.0324530 0.0235785i
\(526\) 7.84431 + 24.1423i 0.342028 + 1.05265i
\(527\) −10.1512 −0.442194
\(528\) 2.90696 0.917835i 0.126509 0.0399436i
\(529\) −19.0000 −0.826087
\(530\) 4.10522 + 12.6346i 0.178319 + 0.548810i
\(531\) −4.95015 3.59650i −0.214818 0.156075i
\(532\) −2.19034 + 1.59138i −0.0949634 + 0.0689949i
\(533\) 3.73304 11.4891i 0.161696 0.497649i
\(534\) −2.31202 + 7.11567i −0.100051 + 0.307925i
\(535\) 16.0405 11.6541i 0.693493 0.503852i
\(536\) −5.42641 3.94252i −0.234385 0.170291i
\(537\) −3.47352 10.6904i −0.149893 0.461324i
\(538\) 15.3782 0.663002
\(539\) 1.97174 2.66688i 0.0849289 0.114871i
\(540\) −4.73830 −0.203904
\(541\) 0.786881 + 2.42177i 0.0338307 + 0.104120i 0.966546 0.256494i \(-0.0825673\pi\)
−0.932715 + 0.360614i \(0.882567\pi\)
\(542\) −8.35505 6.07030i −0.358880 0.260742i
\(543\) 15.5945 11.3301i 0.669223 0.486219i
\(544\) 0.406956 1.25248i 0.0174481 0.0536997i
\(545\) 0.307637 0.946808i 0.0131777 0.0405568i
\(546\) 2.76858 2.01149i 0.118484 0.0860839i
\(547\) −25.9985 18.8890i −1.11162 0.807636i −0.128699 0.991684i \(-0.541080\pi\)
−0.982917 + 0.184048i \(0.941080\pi\)
\(548\) −0.897411 2.76195i −0.0383355 0.117984i
\(549\) −3.11751 −0.133052
\(550\) −1.97174 + 2.66688i −0.0840753 + 0.113716i
\(551\) 7.98692 0.340254
\(552\) −0.568054 1.74829i −0.0241780 0.0744122i
\(553\) −6.24824 4.53961i −0.265702 0.193044i
\(554\) 18.4143 13.3788i 0.782350 0.568411i
\(555\) −2.28605 + 7.03573i −0.0970373 + 0.298650i
\(556\) −0.391756 + 1.20570i −0.0166142 + 0.0511331i
\(557\) −4.83826 + 3.51520i −0.205004 + 0.148944i −0.685550 0.728025i \(-0.740438\pi\)
0.480547 + 0.876969i \(0.340438\pi\)
\(558\) −13.4400 9.76471i −0.568959 0.413373i
\(559\) 7.45630 + 22.9481i 0.315368 + 0.970602i
\(560\) 1.00000 0.0422577
\(561\) −3.82828 + 1.20873i −0.161630 + 0.0510327i
\(562\) −3.07890 −0.129876
\(563\) −0.557109 1.71460i −0.0234793 0.0722619i 0.938630 0.344925i \(-0.112096\pi\)
−0.962110 + 0.272663i \(0.912096\pi\)
\(564\) −6.96813 5.06264i −0.293411 0.213176i
\(565\) 8.95507 6.50624i 0.376742 0.273719i
\(566\) −3.39274 + 10.4418i −0.142608 + 0.438901i
\(567\) −0.652173 + 2.00718i −0.0273887 + 0.0842938i
\(568\) 6.49936 4.72206i 0.272707 0.198133i
\(569\) 24.3819 + 17.7145i 1.02214 + 0.742629i 0.966721 0.255834i \(-0.0823501\pi\)
0.0554205 + 0.998463i \(0.482350\pi\)
\(570\) 0.768978 + 2.36667i 0.0322090 + 0.0991290i
\(571\) −30.3322 −1.26936 −0.634681 0.772774i \(-0.718869\pi\)
−0.634681 + 0.772774i \(0.718869\pi\)
\(572\) −7.17490 10.0504i −0.299998 0.420226i
\(573\) −6.20075 −0.259040
\(574\) 1.00263 + 3.08578i 0.0418489 + 0.128798i
\(575\) 1.61803 + 1.17557i 0.0674767 + 0.0490247i
\(576\) 1.74359 1.26679i 0.0726497 0.0527831i
\(577\) −4.87781 + 15.0124i −0.203066 + 0.624973i 0.796721 + 0.604347i \(0.206566\pi\)
−0.999787 + 0.0206258i \(0.993434\pi\)
\(578\) 4.71735 14.5185i 0.196216 0.603891i
\(579\) −14.8476 + 10.7874i −0.617044 + 0.448308i
\(580\) −2.38662 1.73398i −0.0990988 0.0719995i
\(581\) −0.0881490 0.271295i −0.00365704 0.0112552i
\(582\) 13.6016 0.563806
\(583\) −0.366917 + 44.0591i −0.0151962 + 1.82474i
\(584\) 1.33071 0.0550650
\(585\) 2.47966 + 7.63161i 0.102521 + 0.315528i
\(586\) −6.51361 4.73241i −0.269075 0.195494i
\(587\) −20.9713 + 15.2365i −0.865577 + 0.628879i −0.929397 0.369083i \(-0.879672\pi\)
0.0638191 + 0.997961i \(0.479672\pi\)
\(588\) −0.284027 + 0.874145i −0.0117131 + 0.0360491i
\(589\) −6.44896 + 19.8479i −0.265725 + 0.817817i
\(590\) 2.29684 1.66875i 0.0945595 0.0687015i
\(591\) −15.7431 11.4381i −0.647586 0.470499i
\(592\) −2.48718 7.65477i −0.102223 0.314609i
\(593\) 2.58469 0.106140 0.0530702 0.998591i \(-0.483099\pi\)
0.0530702 + 0.998591i \(0.483099\pi\)
\(594\) −14.9051 4.98055i −0.611562 0.204354i
\(595\) −1.31694 −0.0539892
\(596\) 1.80926 + 5.56833i 0.0741102 + 0.228088i
\(597\) 6.15599 + 4.47259i 0.251948 + 0.183051i
\(598\) −6.02435 + 4.37695i −0.246354 + 0.178987i
\(599\) 2.47686 7.62299i 0.101202 0.311467i −0.887618 0.460579i \(-0.847642\pi\)
0.988820 + 0.149112i \(0.0476416\pi\)
\(600\) 0.284027 0.874145i 0.0115954 0.0356868i
\(601\) 0.869598 0.631800i 0.0354717 0.0257717i −0.569908 0.821708i \(-0.693021\pi\)
0.605380 + 0.795937i \(0.293021\pi\)
\(602\) −5.24295 3.80923i −0.213687 0.155253i
\(603\) 4.46709 + 13.7483i 0.181914 + 0.559874i
\(604\) 10.2243 0.416020
\(605\) −9.00563 + 6.31653i −0.366131 + 0.256803i
\(606\) −12.9597 −0.526452
\(607\) −3.91687 12.0549i −0.158981 0.489292i 0.839562 0.543264i \(-0.182812\pi\)
−0.998542 + 0.0539721i \(0.982812\pi\)
\(608\) −2.19034 1.59138i −0.0888301 0.0645389i
\(609\) 2.19361 1.59375i 0.0888897 0.0645821i
\(610\) 0.446995 1.37571i 0.0180983 0.0557008i
\(611\) −10.7817 + 33.1826i −0.436180 + 1.34242i
\(612\) −2.29620 + 1.66829i −0.0928185 + 0.0674366i
\(613\) −17.0645 12.3981i −0.689230 0.500755i 0.187177 0.982326i \(-0.440066\pi\)
−0.876407 + 0.481571i \(0.840066\pi\)
\(614\) −8.52774 26.2457i −0.344152 1.05919i
\(615\) 2.98219 0.120254
\(616\) 3.14565 + 1.05113i 0.126742 + 0.0423511i
\(617\) −15.4070 −0.620263 −0.310131 0.950694i \(-0.600373\pi\)
−0.310131 + 0.950694i \(0.600373\pi\)
\(618\) 3.34091 + 10.2823i 0.134391 + 0.413613i
\(619\) −15.0826 10.9581i −0.606219 0.440444i 0.241862 0.970311i \(-0.422242\pi\)
−0.848081 + 0.529867i \(0.822242\pi\)
\(620\) 6.23607 4.53077i 0.250447 0.181960i
\(621\) −2.92843 + 9.01279i −0.117514 + 0.361671i
\(622\) −9.20469 + 28.3291i −0.369074 + 1.13589i
\(623\) −6.58552 + 4.78466i −0.263843 + 0.191693i
\(624\) 2.76858 + 2.01149i 0.110832 + 0.0805242i
\(625\) 0.309017 + 0.951057i 0.0123607 + 0.0380423i
\(626\) −30.9153 −1.23562
\(627\) −0.0687299 + 8.25302i −0.00274481 + 0.329594i
\(628\) 1.18004 0.0470886
\(629\) 3.27547 + 10.0808i 0.130601 + 0.401950i
\(630\) −1.74359 1.26679i −0.0694664 0.0504703i
\(631\) −22.2244 + 16.1470i −0.884739 + 0.642800i −0.934501 0.355961i \(-0.884154\pi\)
0.0497620 + 0.998761i \(0.484154\pi\)
\(632\) 2.38662 7.34525i 0.0949345 0.292178i
\(633\) 4.42832 13.6290i 0.176010 0.541703i
\(634\) −1.87845 + 1.36477i −0.0746028 + 0.0542021i
\(635\) 5.26042 + 3.82192i 0.208753 + 0.151668i
\(636\) −3.77323 11.6128i −0.149618 0.460478i
\(637\) 3.72325 0.147521
\(638\) −5.68484 7.96313i −0.225065 0.315263i
\(639\) −17.3141 −0.684936
\(640\) 0.309017 + 0.951057i 0.0122150 + 0.0375938i
\(641\) 26.2303 + 19.0574i 1.03603 + 0.752723i 0.969507 0.245062i \(-0.0788083\pi\)
0.0665266 + 0.997785i \(0.478808\pi\)
\(642\) −14.7433 + 10.7117i −0.581874 + 0.422756i
\(643\) 0.503527 1.54970i 0.0198572 0.0611140i −0.940637 0.339414i \(-0.889771\pi\)
0.960494 + 0.278300i \(0.0897711\pi\)
\(644\) 0.618034 1.90211i 0.0243540 0.0749538i
\(645\) −4.81896 + 3.50118i −0.189746 + 0.137859i
\(646\) 2.88454 + 2.09574i 0.113491 + 0.0824559i
\(647\) 11.2147 + 34.5152i 0.440894 + 1.35693i 0.886924 + 0.461915i \(0.152837\pi\)
−0.446030 + 0.895018i \(0.647163\pi\)
\(648\) −2.11048 −0.0829074
\(649\) 8.97914 2.83505i 0.352462 0.111285i
\(650\) −3.72325 −0.146038
\(651\) 2.18934 + 6.73809i 0.0858069 + 0.264087i
\(652\) −10.9879 7.98319i −0.430320 0.312646i
\(653\) 25.9917 18.8841i 1.01713 0.738991i 0.0514401 0.998676i \(-0.483619\pi\)
0.965693 + 0.259685i \(0.0836189\pi\)
\(654\) −0.282758 + 0.870240i −0.0110567 + 0.0340291i
\(655\) 6.72488 20.6970i 0.262763 0.808700i
\(656\) −2.62492 + 1.90711i −0.102486 + 0.0744603i
\(657\) −2.32021 1.68573i −0.0905199 0.0657666i
\(658\) −2.89577 8.91225i −0.112889 0.347436i
\(659\) 24.7215 0.963012 0.481506 0.876443i \(-0.340090\pi\)
0.481506 + 0.876443i \(0.340090\pi\)
\(660\) 1.81229 2.45121i 0.0705432 0.0954132i
\(661\) −24.3370 −0.946598 −0.473299 0.880902i \(-0.656937\pi\)
−0.473299 + 0.880902i \(0.656937\pi\)
\(662\) 3.07684 + 9.46954i 0.119585 + 0.368044i
\(663\) −3.64605 2.64901i −0.141601 0.102879i
\(664\) 0.230777 0.167669i 0.00895589 0.00650683i
\(665\) −0.836636 + 2.57490i −0.0324434 + 0.0998504i
\(666\) −5.36038 + 16.4975i −0.207710 + 0.639267i
\(667\) −4.77323 + 3.46796i −0.184820 + 0.134280i
\(668\) 9.70820 + 7.05342i 0.375622 + 0.272905i
\(669\) 4.72374 + 14.5382i 0.182630 + 0.562079i
\(670\) −6.70741 −0.259130
\(671\) 2.85213 3.85765i 0.110105 0.148923i
\(672\) −0.919131 −0.0354562
\(673\) −13.5310 41.6442i −0.521582 1.60526i −0.770977 0.636863i \(-0.780232\pi\)
0.249395 0.968402i \(-0.419768\pi\)
\(674\) −16.8018 12.2072i −0.647183 0.470206i
\(675\) −3.83337 + 2.78510i −0.147546 + 0.107199i
\(676\) 0.266561 0.820392i 0.0102524 0.0315535i
\(677\) 6.46461 19.8960i 0.248455 0.764666i −0.746594 0.665280i \(-0.768312\pi\)
0.995049 0.0993862i \(-0.0316879\pi\)
\(678\) −8.23088 + 5.98008i −0.316105 + 0.229664i
\(679\) 11.9721 + 8.69827i 0.459448 + 0.333809i
\(680\) −0.406956 1.25248i −0.0156060 0.0480305i
\(681\) 1.10035 0.0421653
\(682\) 24.3789 7.69734i 0.933517 0.294746i
\(683\) −6.79955 −0.260178 −0.130089 0.991502i \(-0.541526\pi\)
−0.130089 + 0.991502i \(0.541526\pi\)
\(684\) 1.80312 + 5.54943i 0.0689439 + 0.212188i
\(685\) −2.34945 1.70698i −0.0897679 0.0652202i
\(686\) −0.809017 + 0.587785i −0.0308884 + 0.0224417i
\(687\) −4.22102 + 12.9910i −0.161042 + 0.495636i
\(688\) 2.00263 6.16346i 0.0763495 0.234980i
\(689\) −40.0160 + 29.0734i −1.52449 + 1.10761i
\(690\) −1.48718 1.08050i −0.0566162 0.0411340i
\(691\) 10.2015 + 31.3969i 0.388083 + 1.19440i 0.934219 + 0.356699i \(0.116098\pi\)
−0.546137 + 0.837696i \(0.683902\pi\)
\(692\) −12.4741 −0.474194
\(693\) −4.15318 5.81763i −0.157766 0.220993i
\(694\) 15.7606 0.598263
\(695\) 0.391756 + 1.20570i 0.0148602 + 0.0457348i
\(696\) 2.19361 + 1.59375i 0.0831487 + 0.0604110i
\(697\) 3.45685 2.51155i 0.130938 0.0951317i
\(698\) 7.19864 22.1551i 0.272472 0.838584i
\(699\) −1.79846 + 5.53508i −0.0680238 + 0.209356i
\(700\) 0.809017 0.587785i 0.0305780 0.0222162i
\(701\) 27.6779 + 20.1092i 1.04538 + 0.759514i 0.971329 0.237740i \(-0.0764067\pi\)
0.0740526 + 0.997254i \(0.476407\pi\)
\(702\) −5.45165 16.7784i −0.205759 0.633261i
\(703\) 21.7911 0.821869
\(704\) −0.0276194 + 3.31651i −0.00104095 + 0.124996i
\(705\) −8.61308 −0.324387
\(706\) −8.38371 25.8024i −0.315525 0.971086i
\(707\) −11.4071 8.28775i −0.429008 0.311693i
\(708\) −2.11110 + 1.53380i −0.0793399 + 0.0576438i
\(709\) −3.33168 + 10.2539i −0.125124 + 0.385092i −0.993924 0.110072i \(-0.964892\pi\)
0.868800 + 0.495164i \(0.164892\pi\)
\(710\) 2.48253 7.64046i 0.0931679 0.286741i
\(711\) −13.4662 + 9.78377i −0.505022 + 0.366920i
\(712\) −6.58552 4.78466i −0.246803 0.179313i
\(713\) −4.76393 14.6619i −0.178411 0.549092i
\(714\) 1.21044 0.0452995
\(715\) −11.7121 3.91361i −0.438006 0.146361i
\(716\) 12.2295 0.457039
\(717\) −3.32044 10.2193i −0.124004 0.381646i
\(718\) −25.9401 18.8466i −0.968077 0.703349i
\(719\) 39.4309 28.6482i 1.47052 1.06840i 0.490061 0.871688i \(-0.336974\pi\)
0.980462 0.196710i \(-0.0630256\pi\)
\(720\) 0.665993 2.04972i 0.0248201 0.0763884i
\(721\) −3.63486 + 11.1869i −0.135369 + 0.416624i
\(722\) −9.44116 + 6.85941i −0.351364 + 0.255281i
\(723\) −7.72924 5.61562i −0.287453 0.208847i
\(724\) 6.48064 + 19.9454i 0.240851 + 0.741264i
\(725\) −2.95002 −0.109561
\(726\) 8.27736 5.80572i 0.307201 0.215470i
\(727\) 11.9416 0.442891 0.221446 0.975173i \(-0.428922\pi\)
0.221446 + 0.975173i \(0.428922\pi\)
\(728\) 1.15055 + 3.54102i 0.0426422 + 0.131239i
\(729\) −6.89028 5.00608i −0.255196 0.185410i
\(730\) 1.07656 0.782169i 0.0398454 0.0289494i
\(731\) −2.63734 + 8.11689i −0.0975454 + 0.300214i
\(732\) −0.410847 + 1.26446i −0.0151853 + 0.0467356i
\(733\) 31.4976 22.8843i 1.16339 0.845252i 0.173187 0.984889i \(-0.444593\pi\)
0.990203 + 0.139637i \(0.0445934\pi\)
\(734\) −9.38760 6.82049i −0.346503 0.251749i
\(735\) 0.284027 + 0.874145i 0.0104765 + 0.0322433i
\(736\) 2.00000 0.0737210
\(737\) −21.0992 7.05033i −0.777199 0.259702i
\(738\) 6.99271 0.257405
\(739\) −9.07222 27.9214i −0.333727 1.02711i −0.967346 0.253460i \(-0.918431\pi\)
0.633619 0.773645i \(-0.281569\pi\)
\(740\) −6.51153 4.73091i −0.239369 0.173912i
\(741\) −7.49569 + 5.44594i −0.275361 + 0.200062i
\(742\) 4.10522 12.6346i 0.150707 0.463829i
\(743\) −8.38522 + 25.8070i −0.307624 + 0.946769i 0.671061 + 0.741402i \(0.265839\pi\)
−0.978685 + 0.205367i \(0.934161\pi\)
\(744\) −5.73176 + 4.16437i −0.210137 + 0.152673i
\(745\) 4.73671 + 3.44142i 0.173540 + 0.126084i
\(746\) −5.47739 16.8577i −0.200542 0.617204i
\(747\) −0.614784 −0.0224938
\(748\) 0.0363730 4.36764i 0.00132993 0.159697i
\(749\) −19.8272 −0.724470
\(750\) −0.284027 0.874145i −0.0103712 0.0319193i
\(751\) 29.8128 + 21.6603i 1.08789 + 0.790395i 0.979041 0.203664i \(-0.0652850\pi\)
0.108844 + 0.994059i \(0.465285\pi\)
\(752\) 7.58121 5.50807i 0.276458 0.200859i
\(753\) 6.34503 19.5280i 0.231226 0.711639i
\(754\) 3.39414 10.4461i 0.123607 0.380424i
\(755\) 8.27161 6.00967i 0.301035 0.218714i
\(756\) 3.83337 + 2.78510i 0.139418 + 0.101293i
\(757\) 0.323438 + 0.995438i 0.0117555 + 0.0361798i 0.956762 0.290871i \(-0.0939451\pi\)
−0.945007 + 0.327051i \(0.893945\pi\)
\(758\) 12.0540 0.437822
\(759\) −3.54242 4.96211i −0.128582 0.180113i
\(760\) −2.70741 −0.0982082
\(761\) −0.812589 2.50089i −0.0294563 0.0906573i 0.935248 0.353994i \(-0.115177\pi\)
−0.964704 + 0.263337i \(0.915177\pi\)
\(762\) −4.83501 3.51284i −0.175154 0.127257i
\(763\) −0.805403 + 0.585160i −0.0291575 + 0.0211842i
\(764\) 2.08473 6.41613i 0.0754228 0.232128i
\(765\) −0.877071 + 2.69935i −0.0317106 + 0.0975951i
\(766\) 5.46522 3.97071i 0.197466 0.143468i
\(767\) 8.55172 + 6.21319i 0.308785 + 0.224345i
\(768\) −0.284027 0.874145i −0.0102489 0.0315430i
\(769\) −31.0270 −1.11886 −0.559431 0.828877i \(-0.688980\pi\)
−0.559431 + 0.828877i \(0.688980\pi\)
\(770\) 3.16272 0.998590i 0.113977 0.0359867i
\(771\) 4.85485 0.174843
\(772\) −6.17025 18.9901i −0.222072 0.683468i
\(773\) 7.15807 + 5.20064i 0.257458 + 0.187054i 0.709026 0.705183i \(-0.249135\pi\)
−0.451568