Properties

Label 770.2.n.e.141.2
Level $770$
Weight $2$
Character 770.141
Analytic conductor $6.148$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 141.2
Root \(-1.20316 + 0.874145i\) of defining polynomial
Character \(\chi\) \(=\) 770.141
Dual form 770.2.n.e.71.2

$q$-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 \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{3}{5}\right)\) \(1\) \(1\)

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 −0.352061 0.935977i \(-0.614519\pi\)
0.781374 + 0.624063i \(0.214519\pi\)
\(4\) −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 −0.654927 0.755692i \(-0.727301\pi\)
0.974032 0.226411i \(-0.0726993\pi\)
\(14\) −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 0.889499 0.456937i \(-0.151053\pi\)
−0.988201 + 0.153165i \(0.951053\pi\)
\(18\) −1.74359 1.26679i −0.410969 0.298586i
\(19\) 2.19034 1.59138i 0.502499 0.365087i −0.307472 0.951557i \(-0.599483\pi\)
0.809971 + 0.586470i \(0.199483\pi\)
\(20\) −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 0.786899 0.617082i \(-0.211685\pi\)
−0.343715 + 0.939074i \(0.611685\pi\)
\(30\) 0.743592 0.540251i 0.135761 0.0986360i
\(31\) 2.38197 7.33094i 0.427814 1.31668i −0.472460 0.881352i \(-0.656634\pi\)
0.900274 0.435323i \(-0.143366\pi\)
\(32\) −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 0.976000 0.217770i \(-0.0698781\pi\)
0.0944894 + 0.995526i \(0.469878\pi\)
\(38\) 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 −0.773579 0.633700i \(-0.781535\pi\)
0.363636 + 0.931541i \(0.381535\pi\)
\(42\) −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 0.123831 0.992303i \(-0.460482\pi\)
0.982002 + 0.188868i \(0.0604819\pi\)
\(48\) 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 −0.107316 0.994225i \(-0.534226\pi\)
0.671211 0.741266i \(-0.265774\pi\)
\(54\) −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 0.727172 0.686455i \(-0.240834\pi\)
−0.428149 + 0.903708i \(0.640834\pi\)
\(60\) 0.284027 + 0.874145i 0.0366677 + 0.112852i
\(61\) 0.446995 + 1.37571i 0.0572318 + 0.176141i 0.975586 0.219618i \(-0.0704813\pi\)
−0.918354 + 0.395760i \(0.870481\pi\)
\(62\) 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 0.983348 + 0.181733i \(0.0581706\pi\)
−0.688725 + 0.725022i \(0.741829\pi\)
\(72\) 0.665993 + 2.04972i 0.0784880 + 0.241561i
\(73\) 1.07656 + 0.782169i 0.126002 + 0.0915459i 0.649001 0.760787i \(-0.275187\pi\)
−0.522999 + 0.852333i \(0.675187\pi\)
\(74\) −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 0.722347 + 0.691530i \(0.243063\pi\)
−0.990863 + 0.134875i \(0.956937\pi\)
\(80\) 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 0.955778 0.294090i \(-0.0950165\pi\)
−0.946102 + 0.323868i \(0.895017\pi\)
\(84\) −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 −0.395532 0.918452i \(-0.629440\pi\)
0.859845 0.510555i \(-0.170560\pi\)
\(98\) −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 0.461014 + 0.887393i \(0.347486\pi\)
−0.894565 + 0.446938i \(0.852514\pi\)
\(102\) 0.979265 0.711477i 0.0969616 0.0704468i
\(103\) −9.51618 6.91391i −0.937658 0.681248i 0.0101981 0.999948i \(-0.496754\pi\)
−0.947856 + 0.318700i \(0.896754\pi\)
\(104\) −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 −0.607545 + 0.794285i \(0.707846\pi\)
−0.943152 + 0.332362i \(0.892154\pi\)
\(108\) 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 −0.923046 0.384689i \(-0.874309\pi\)
0.0806243 + 0.996745i \(0.474309\pi\)
\(114\) 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 0.999769 0.0215082i \(-0.00684681\pi\)
−0.821472 + 0.570249i \(0.806847\pi\)
\(128\) 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 0.905374 0.424614i \(-0.139590\pi\)
−0.982045 + 0.188645i \(0.939590\pi\)
\(138\) −0.568054 1.74829i −0.0483560 0.148824i
\(139\) 1.02563 + 0.745164i 0.0869928 + 0.0632040i 0.630432 0.776245i \(-0.282878\pi\)
−0.543439 + 0.839449i \(0.682878\pi\)
\(140\) −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 0.997411 0.0719107i \(-0.0229097\pi\)
−0.849191 + 0.528087i \(0.822910\pi\)
\(150\) −0.743592 0.540251i −0.0607141 0.0441113i
\(151\) −8.27161 + 6.00967i −0.673134 + 0.489060i −0.871073 0.491154i \(-0.836575\pi\)
0.197939 + 0.980214i \(0.436575\pi\)
\(152\) 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 −0.625229 0.780442i \(-0.714994\pi\)
0.549038 + 0.835798i \(0.314994\pi\)
\(158\) −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 −0.640991 0.767549i \(-0.721476\pi\)
0.969726 0.244195i \(-0.0785237\pi\)
\(164\) 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 0.698858 + 0.715260i \(0.253692\pi\)
−0.985808 + 0.167879i \(0.946308\pi\)
\(168\) 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 −0.133867 0.990999i \(-0.542739\pi\)
0.901129 + 0.433550i \(0.142739\pi\)
\(174\) −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 −0.892556 0.450937i \(-0.851090\pi\)
0.153051 + 0.988218i \(0.451090\pi\)
\(180\) −1.74359 1.26679i −0.129960 0.0944213i
\(181\) 6.48064 + 19.9454i 0.481703 + 1.48253i 0.836700 + 0.547661i \(0.184482\pi\)
−0.354998 + 0.934867i \(0.615518\pi\)
\(182\) 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 0.372549 0.928012i \(-0.378484\pi\)
−0.767468 + 0.641087i \(0.778484\pi\)
\(192\) −0.284027 0.874145i −0.0204979 0.0630860i
\(193\) −6.17025 18.9901i −0.444144 1.36694i −0.883420 0.468583i \(-0.844765\pi\)
0.439276 0.898352i \(-0.355235\pi\)
\(194\) 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 0.636653 + 0.771150i \(0.280318\pi\)
−0.968334 + 0.249658i \(0.919682\pi\)
\(212\) −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 −0.0377119 0.999289i \(-0.512007\pi\)
0.938726 + 0.344663i \(0.112007\pi\)
\(224\) −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 0.619463 0.785026i \(-0.287351\pi\)
−0.555180 + 0.831730i \(0.687351\pi\)
\(228\) −2.01321 + 1.46268i −0.133328 + 0.0968686i
\(229\) 4.59240 14.1340i 0.303475 0.933999i −0.676767 0.736197i \(-0.736620\pi\)
0.980242 0.197802i \(-0.0633803\pi\)
\(230\) −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 −0.866281 0.499557i \(-0.833496\pi\)
0.994468 + 0.105037i \(0.0334962\pi\)
\(234\) −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 −0.850041 0.526717i \(-0.823423\pi\)
0.238261 + 0.971201i \(0.423423\pi\)
\(240\) 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 0.456603 + 0.889671i \(0.349066\pi\)
−0.892335 + 0.451374i \(0.850934\pi\)
\(252\) 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 0.713033 0.701131i \(-0.247321\pi\)
−0.446476 + 0.894796i \(0.647321\pi\)
\(258\) 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 −0.984937 0.172914i \(-0.944682\pi\)
0.695194 0.718822i \(-0.255318\pi\)
\(270\) 1.46422 + 4.50639i 0.0891093 + 0.274250i
\(271\) 8.35505 + 6.07030i 0.507533 + 0.368745i 0.811887 0.583814i \(-0.198440\pi\)
−0.304354 + 0.952559i \(0.598440\pi\)
\(272\) 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 −0.482652 0.875812i \(-0.660326\pi\)
0.905263 0.424851i \(-0.139674\pi\)
\(278\) −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 0.975416 0.220370i \(-0.0707265\pi\)
−0.918659 + 0.395052i \(0.870726\pi\)
\(282\) 6.96813 + 5.06264i 0.414946 + 0.301476i
\(283\) −8.88231 + 6.45338i −0.527999 + 0.383613i −0.819609 0.572924i \(-0.805809\pi\)
0.291610 + 0.956537i \(0.405809\pi\)
\(284\) 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 0.761563 0.648090i \(-0.224432\pi\)
−0.381034 + 0.924561i \(0.624432\pi\)
\(294\) −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 −0.368480 + 0.929636i \(0.620122\pi\)
−0.998003 + 0.0631724i \(0.979878\pi\)
\(312\) −2.76858 2.01149i −0.156740 0.113878i
\(313\) 9.55335 + 29.4022i 0.539987 + 1.66191i 0.732619 + 0.680639i \(0.238298\pi\)
−0.192632 + 0.981271i \(0.561702\pi\)
\(314\) −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 −0.969182 0.246345i \(-0.920770\pi\)
0.928883 + 0.370373i \(0.120770\pi\)
\(318\) 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 0.942338 0.334662i \(-0.108622\pi\)
−0.0270839 + 0.999633i \(0.508622\pi\)
\(338\) 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 −0.992490 0.122327i \(-0.960964\pi\)
0.731039 0.682335i \(-0.239036\pi\)
\(348\) −2.19361 1.59375i −0.117590 0.0854341i
\(349\) 18.8463 13.6926i 1.00882 0.732949i 0.0448574 0.998993i \(-0.485717\pi\)
0.963961 + 0.266044i \(0.0857166\pi\)
\(350\) 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 0.997809 + 0.0661555i \(0.0210733\pi\)
0.371258 + 0.928530i \(0.378927\pi\)
\(360\) 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 0.805195 0.593010i \(-0.202060\pi\)
−0.315167 + 0.949036i \(0.602060\pi\)
\(368\) −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 −1.00000 0.000599140i \(-0.999809\pi\)
0.808665 0.588270i \(-0.200191\pi\)
\(380\) 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 −0.883451 0.468524i \(-0.844786\pi\)
0.990118 + 0.140235i \(0.0447858\pi\)
\(384\) 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 0.960001 0.279998i \(-0.0903339\pi\)
0.0303624 + 0.999539i \(0.490334\pi\)
\(390\) −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 −0.639394 0.768880i \(-0.720815\pi\)
0.0653443 0.997863i \(-0.479185\pi\)
\(402\) −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 0.519100 + 0.854713i \(0.326267\pi\)
−0.922349 + 0.386358i \(0.873733\pi\)
\(410\) −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 −0.290131 0.956987i \(-0.593699\pi\)
0.820493 + 0.571656i \(0.193699\pi\)
\(422\) −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 0.341062 + 0.940041i \(0.389213\pi\)
−0.828467 + 0.560038i \(0.810787\pi\)
\(432\) −3.83337 + 2.78510i −0.184433 + 0.133998i
\(433\) −7.28467 5.29262i −0.350079 0.254347i 0.398823 0.917028i \(-0.369419\pi\)
−0.748902 + 0.662681i \(0.769419\pi\)
\(434\) 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 −0.690772 0.723073i \(-0.742729\pi\)
0.474223 + 0.880405i \(0.342729\pi\)
\(444\) −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 −0.983673 0.179966i \(-0.942401\pi\)
0.901589 + 0.432593i \(0.142401\pi\)
\(450\) 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 0.942340 0.334656i \(-0.108620\pi\)
−0.959075 + 0.283152i \(0.908620\pi\)
\(458\) 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 0.983376 + 0.181580i \(0.0581212\pi\)
−0.688838 + 0.724916i \(0.741879\pi\)
\(468\) −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 0.976246 0.216666i \(-0.0695184\pi\)
−0.917153 + 0.398536i \(0.869518\pi\)
\(480\) 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 −0.430009 0.902824i \(-0.641490\pi\)
0.725757 + 0.687951i \(0.241490\pi\)
\(488\) 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 0.0669990 0.997753i \(-0.478658\pi\)
−0.928216 + 0.372043i \(0.878658\pi\)
\(492\) 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 0.449281 0.893391i \(-0.351680\pi\)
−0.710830 + 0.703364i \(0.751680\pi\)
\(500\) −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 −0.773846 0.633374i \(-0.781669\pi\)
0.363243 + 0.931694i \(0.381669\pi\)
\(504\) −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 −0.783807 0.621005i \(-0.786725\pi\)
0.348401 + 0.937346i \(0.386725\pi\)
\(510\) −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 0.351126 0.936328i \(-0.385799\pi\)
−0.781997 + 0.623282i \(0.785799\pi\)
\(522\) −1.96469 6.04670i −0.0859923 0.264657i
\(523\) −9.06035 27.8849i −0.396181 1.21932i −0.928038 0.372486i \(-0.878505\pi\)
0.531856 0.846835i \(-0.321495\pi\)
\(524\) 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 −0.932715 0.360614i \(-0.882567\pi\)
0.966546 + 0.256494i \(0.0825673\pi\)
\(542\) −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 −0.982917 0.184048i \(-0.941080\pi\)
−0.128699 + 0.991684i \(0.541080\pi\)
\(548\) −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 0.480547 0.876969i \(-0.340438\pi\)
−0.685550 + 0.728025i \(0.740438\pi\)
\(558\) −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 −0.962110 0.272663i \(-0.912096\pi\)
0.938630 + 0.344925i \(0.112096\pi\)
\(564\) −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 0.0554205 0.998463i \(-0.482350\pi\)
0.966721 + 0.255834i \(0.0823501\pi\)
\(570\) 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 −0.999787 0.0206258i \(-0.993434\pi\)
0.796721 0.604347i \(-0.206566\pi\)
\(578\) 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 0.0638191 0.997961i \(-0.479672\pi\)
−0.929397 + 0.369083i \(0.879672\pi\)
\(588\) −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 0.988820 0.149112i \(-0.0476416\pi\)
−0.887618 + 0.460579i \(0.847642\pi\)
\(600\) 0.284027 + 0.874145i 0.0115954 + 0.0356868i
\(601\) 0.869598 + 0.631800i 0.0354717 + 0.0257717i 0.605380 0.795937i \(-0.293021\pi\)
−0.569908 + 0.821708i \(0.693021\pi\)
\(602\) −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 −0.998542 0.0539721i \(-0.982812\pi\)
0.839562 + 0.543264i \(0.182812\pi\)
\(608\) −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 −0.876407 0.481571i \(-0.840066\pi\)
0.187177 + 0.982326i \(0.440066\pi\)
\(614\) −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 −0.848081 0.529867i \(-0.822242\pi\)
0.241862 + 0.970311i \(0.422242\pi\)
\(620\) 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 0.0497620 0.998761i \(-0.484154\pi\)
−0.934501 + 0.355961i \(0.884154\pi\)
\(632\) 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 0.0665266 0.997785i \(-0.478808\pi\)
0.969507 + 0.245062i \(0.0788083\pi\)
\(642\) −14.7433 10.7117i −0.581874 0.422756i
\(643\) 0.503527 + 1.54970i 0.0198572 + 0.0611140i 0.960494 0.278300i \(-0.0897711\pi\)
−0.940637 + 0.339414i \(0.889771\pi\)
\(644\) 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 −0.446030 0.895018i \(-0.647163\pi\)
0.886924 0.461915i \(-0.152837\pi\)
\(648\) −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 0.965693 0.259685i \(-0.0836189\pi\)
0.0514401 + 0.998676i \(0.483619\pi\)
\(654\) −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 0.249395 + 0.968402i \(0.419768\pi\)
−0.770977 + 0.636863i \(0.780232\pi\)
\(674\) −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 0.995049 + 0.0993862i \(0.0316879\pi\)
−0.746594 + 0.665280i \(0.768312\pi\)
\(678\) −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 −0.546137 0.837696i \(-0.683902\pi\)
0.934219 0.356699i \(-0.116098\pi\)
\(692\) −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 0.0740526 0.997254i \(-0.476407\pi\)
0.971329 + 0.237740i \(0.0764067\pi\)
\(702\) −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 0.868800 0.495164i \(-0.164892\pi\)
−0.993924 + 0.110072i \(0.964892\pi\)
\(710\) 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 0.980462 + 0.196710i \(0.0630256\pi\)
0.490061 + 0.871688i \(0.336974\pi\)
\(720\) 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 0.990203 0.139637i \(-0.0445934\pi\)
0.173187 + 0.984889i \(0.444593\pi\)
\(734\) −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 0.633619 + 0.773645i \(0.281569\pi\)
−0.967346 + 0.253460i \(0.918431\pi\)
\(740\) −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 −0.978685 0.205367i \(-0.934161\pi\)
0.671061 0.741402i \(-0.265839\pi\)
\(744\) −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 0.108844 0.994059i \(-0.465285\pi\)
0.979041 + 0.203664i \(0.0652850\pi\)
\(752\) 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 −0.945007 0.327051i \(-0.893945\pi\)
0.956762 + 0.290871i \(0.0939451\pi\)
\(758\) 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 −0.964704 0.263337i \(-0.915177\pi\)
0.935248 + 0.353994i \(0.115177\pi\)
\(762\) −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 −0.451568 0.892237i \(-0.649135\pi\)
0.709026 + 0.705183i \(0.249135\pi\)