Properties

Label 770.2.n.h.141.2
Level $770$
Weight $2$
Character 770.141
Analytic conductor $6.148$
Analytic rank $0$
Dimension $12$
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: \(12\)
Relative dimension: \(3\) over \(\Q(\zeta_{5})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
Defining polynomial: \(x^{12} - 3 x^{11} + 7 x^{10} - 9 x^{9} + 55 x^{8} - 32 x^{7} + 287 x^{6} - 302 x^{5} + 1175 x^{4} - 1639 x^{3} + 1692 x^{2} - 988 x + 361\)
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 \(0.609000 + 0.442464i\) of defining polynomial
Character \(\chi\) \(=\) 770.141
Dual form 770.2.n.h.71.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.309017 - 0.951057i) q^{2} +(0.200017 - 0.145321i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.309017 - 0.951057i) q^{5} +(-0.0763997 - 0.235134i) q^{6} +(-0.809017 - 0.587785i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(-0.908162 + 2.79504i) q^{9} +O(q^{10})\) \(q+(0.309017 - 0.951057i) q^{2} +(0.200017 - 0.145321i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.309017 - 0.951057i) q^{5} +(-0.0763997 - 0.235134i) q^{6} +(-0.809017 - 0.587785i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(-0.908162 + 2.79504i) q^{9} -1.00000 q^{10} +(-3.26734 - 0.569637i) q^{11} -0.247235 q^{12} +(0.875876 - 2.69567i) q^{13} +(-0.809017 + 0.587785i) q^{14} +(-0.200017 - 0.145321i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-1.78163 - 5.48331i) q^{17} +(2.37760 + 1.72743i) q^{18} +(-2.96862 + 2.15683i) q^{19} +(-0.309017 + 0.951057i) q^{20} -0.247235 q^{21} +(-1.55142 + 2.93140i) q^{22} -7.17432 q^{23} +(-0.0763997 + 0.235134i) q^{24} +(-0.809017 + 0.587785i) q^{25} +(-2.29307 - 1.66601i) q^{26} +(0.453728 + 1.39643i) q^{27} +(0.309017 + 0.951057i) q^{28} +(-1.14498 - 0.831879i) q^{29} +(-0.200017 + 0.145321i) q^{30} +(-0.110144 + 0.338990i) q^{31} +1.00000 q^{32} +(-0.736304 + 0.360876i) q^{33} -5.76549 q^{34} +(-0.309017 + 0.951057i) q^{35} +(2.37760 - 1.72743i) q^{36} +(-2.38460 - 1.73251i) q^{37} +(1.13391 + 3.48982i) q^{38} +(-0.216547 - 0.666462i) q^{39} +(0.809017 + 0.587785i) q^{40} +(-1.80069 + 1.30828i) q^{41} +(-0.0763997 + 0.235134i) q^{42} +9.64018 q^{43} +(2.30851 + 2.38134i) q^{44} +2.93888 q^{45} +(-2.21699 + 6.82318i) q^{46} +(-2.53720 + 1.84338i) q^{47} +(0.200017 + 0.145321i) q^{48} +(0.309017 + 0.951057i) q^{49} +(0.309017 + 0.951057i) q^{50} +(-1.15320 - 0.837846i) q^{51} +(-2.29307 + 1.66601i) q^{52} +(0.270126 - 0.831363i) q^{53} +1.46830 q^{54} +(0.467907 + 3.28345i) q^{55} +1.00000 q^{56} +(-0.280342 + 0.862804i) q^{57} +(-1.14498 + 0.831879i) q^{58} +(8.49158 + 6.16949i) q^{59} +(0.0763997 + 0.235134i) q^{60} +(-2.84337 - 8.75101i) q^{61} +(0.288362 + 0.209507i) q^{62} +(2.37760 - 1.72743i) q^{63} +(0.309017 - 0.951057i) q^{64} -2.83439 q^{65} +(0.115683 + 0.811783i) q^{66} -13.5466 q^{67} +(-1.78163 + 5.48331i) q^{68} +(-1.43499 + 1.04258i) q^{69} +(0.809017 + 0.587785i) q^{70} +(-3.86699 - 11.9014i) q^{71} +(-0.908162 - 2.79504i) q^{72} +(5.82359 + 4.23109i) q^{73} +(-2.38460 + 1.73251i) q^{74} +(-0.0763997 + 0.235134i) q^{75} +3.66941 q^{76} +(2.30851 + 2.38134i) q^{77} -0.700760 q^{78} +(1.89893 - 5.84432i) q^{79} +(0.809017 - 0.587785i) q^{80} +(-6.83912 - 4.96891i) q^{81} +(0.687804 + 2.11684i) q^{82} +(0.952443 + 2.93132i) q^{83} +(0.200017 + 0.145321i) q^{84} +(-4.66438 + 3.38887i) q^{85} +(2.97898 - 9.16835i) q^{86} -0.349905 q^{87} +(2.97816 - 1.45965i) q^{88} -5.75443 q^{89} +(0.908162 - 2.79504i) q^{90} +(-2.29307 + 1.66601i) q^{91} +(5.80414 + 4.21696i) q^{92} +(0.0272315 + 0.0838100i) q^{93} +(0.969124 + 2.98266i) q^{94} +(2.96862 + 2.15683i) q^{95} +(0.200017 - 0.145321i) q^{96} +(3.87129 - 11.9146i) q^{97} +1.00000 q^{98} +(4.55943 - 8.61501i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 3q^{2} - 3q^{4} + 3q^{5} + 5q^{6} - 3q^{7} - 3q^{8} - 3q^{9} + O(q^{10}) \) \( 12q - 3q^{2} - 3q^{4} + 3q^{5} + 5q^{6} - 3q^{7} - 3q^{8} - 3q^{9} - 12q^{10} - q^{11} - 10q^{12} - 3q^{14} - 3q^{16} - 8q^{18} - q^{19} + 3q^{20} - 10q^{21} - q^{22} - 4q^{23} + 5q^{24} - 3q^{25} + 3q^{27} - 3q^{28} + 22q^{29} + 6q^{31} + 12q^{32} - 29q^{33} - 30q^{34} + 3q^{35} - 8q^{36} - 10q^{37} + 14q^{38} + 20q^{39} + 3q^{40} + 16q^{41} + 5q^{42} + 30q^{43} + 14q^{44} - 22q^{45} - 4q^{46} + 34q^{47} - 3q^{49} - 3q^{50} + 37q^{51} - 26q^{53} - 52q^{54} + 11q^{55} + 12q^{56} - 19q^{57} + 22q^{58} + q^{59} - 5q^{60} + 40q^{61} - 4q^{62} - 8q^{63} - 3q^{64} + 16q^{66} - 58q^{67} + 14q^{69} + 3q^{70} - 14q^{71} - 3q^{72} + 32q^{73} - 10q^{74} + 5q^{75} - 26q^{76} + 14q^{77} - 60q^{78} + 16q^{79} + 3q^{80} - 46q^{81} + q^{82} + 35q^{83} - 15q^{85} + 5q^{86} - q^{88} - 58q^{89} + 3q^{90} + 6q^{92} + 46q^{93} - 16q^{94} + q^{95} + 57q^{97} + 12q^{98} + 69q^{99} + O(q^{100}) \)

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
\(3\) 0.200017 0.145321i 0.115480 0.0839011i −0.528546 0.848904i \(-0.677263\pi\)
0.644026 + 0.765003i \(0.277263\pi\)
\(4\) −0.809017 0.587785i −0.404508 0.293893i
\(5\) −0.309017 0.951057i −0.138197 0.425325i
\(6\) −0.0763997 0.235134i −0.0311901 0.0959931i
\(7\) −0.809017 0.587785i −0.305780 0.222162i
\(8\) −0.809017 + 0.587785i −0.286031 + 0.207813i
\(9\) −0.908162 + 2.79504i −0.302721 + 0.931679i
\(10\) −1.00000 −0.316228
\(11\) −3.26734 0.569637i −0.985140 0.171752i
\(12\) −0.247235 −0.0713705
\(13\) 0.875876 2.69567i 0.242924 0.747644i −0.753047 0.657967i \(-0.771417\pi\)
0.995971 0.0896767i \(-0.0285834\pi\)
\(14\) −0.809017 + 0.587785i −0.216219 + 0.157092i
\(15\) −0.200017 0.145321i −0.0516442 0.0375217i
\(16\) 0.309017 + 0.951057i 0.0772542 + 0.237764i
\(17\) −1.78163 5.48331i −0.432110 1.32990i −0.896020 0.444015i \(-0.853554\pi\)
0.463910 0.885882i \(-0.346446\pi\)
\(18\) 2.37760 + 1.72743i 0.560406 + 0.407159i
\(19\) −2.96862 + 2.15683i −0.681047 + 0.494810i −0.873705 0.486456i \(-0.838289\pi\)
0.192658 + 0.981266i \(0.438289\pi\)
\(20\) −0.309017 + 0.951057i −0.0690983 + 0.212663i
\(21\) −0.247235 −0.0539510
\(22\) −1.55142 + 2.93140i −0.330764 + 0.624976i
\(23\) −7.17432 −1.49595 −0.747974 0.663728i \(-0.768973\pi\)
−0.747974 + 0.663728i \(0.768973\pi\)
\(24\) −0.0763997 + 0.235134i −0.0155950 + 0.0479966i
\(25\) −0.809017 + 0.587785i −0.161803 + 0.117557i
\(26\) −2.29307 1.66601i −0.449708 0.326732i
\(27\) 0.453728 + 1.39643i 0.0873201 + 0.268744i
\(28\) 0.309017 + 0.951057i 0.0583987 + 0.179733i
\(29\) −1.14498 0.831879i −0.212618 0.154476i 0.476379 0.879240i \(-0.341949\pi\)
−0.688997 + 0.724764i \(0.741949\pi\)
\(30\) −0.200017 + 0.145321i −0.0365179 + 0.0265318i
\(31\) −0.110144 + 0.338990i −0.0197825 + 0.0608843i −0.960460 0.278416i \(-0.910190\pi\)
0.940678 + 0.339301i \(0.110190\pi\)
\(32\) 1.00000 0.176777
\(33\) −0.736304 + 0.360876i −0.128174 + 0.0628204i
\(34\) −5.76549 −0.988773
\(35\) −0.309017 + 0.951057i −0.0522334 + 0.160758i
\(36\) 2.37760 1.72743i 0.396267 0.287905i
\(37\) −2.38460 1.73251i −0.392025 0.284823i 0.374260 0.927324i \(-0.377897\pi\)
−0.766285 + 0.642501i \(0.777897\pi\)
\(38\) 1.13391 + 3.48982i 0.183945 + 0.566123i
\(39\) −0.216547 0.666462i −0.0346752 0.106719i
\(40\) 0.809017 + 0.587785i 0.127917 + 0.0929370i
\(41\) −1.80069 + 1.30828i −0.281221 + 0.204319i −0.719450 0.694544i \(-0.755606\pi\)
0.438229 + 0.898863i \(0.355606\pi\)
\(42\) −0.0763997 + 0.235134i −0.0117887 + 0.0362820i
\(43\) 9.64018 1.47011 0.735057 0.678006i \(-0.237156\pi\)
0.735057 + 0.678006i \(0.237156\pi\)
\(44\) 2.30851 + 2.38134i 0.348021 + 0.359001i
\(45\) 2.93888 0.438102
\(46\) −2.21699 + 6.82318i −0.326877 + 1.00602i
\(47\) −2.53720 + 1.84338i −0.370089 + 0.268885i −0.757248 0.653128i \(-0.773456\pi\)
0.387159 + 0.922013i \(0.373456\pi\)
\(48\) 0.200017 + 0.145321i 0.0288700 + 0.0209753i
\(49\) 0.309017 + 0.951057i 0.0441453 + 0.135865i
\(50\) 0.309017 + 0.951057i 0.0437016 + 0.134500i
\(51\) −1.15320 0.837846i −0.161480 0.117322i
\(52\) −2.29307 + 1.66601i −0.317992 + 0.231035i
\(53\) 0.270126 0.831363i 0.0371047 0.114196i −0.930789 0.365558i \(-0.880878\pi\)
0.967893 + 0.251361i \(0.0808783\pi\)
\(54\) 1.46830 0.199810
\(55\) 0.467907 + 3.28345i 0.0630926 + 0.442741i
\(56\) 1.00000 0.133631
\(57\) −0.280342 + 0.862804i −0.0371322 + 0.114281i
\(58\) −1.14498 + 0.831879i −0.150344 + 0.109231i
\(59\) 8.49158 + 6.16949i 1.10551 + 0.803200i 0.981951 0.189137i \(-0.0605692\pi\)
0.123559 + 0.992337i \(0.460569\pi\)
\(60\) 0.0763997 + 0.235134i 0.00986316 + 0.0303557i
\(61\) −2.84337 8.75101i −0.364057 1.12045i −0.950570 0.310512i \(-0.899500\pi\)
0.586513 0.809940i \(-0.300500\pi\)
\(62\) 0.288362 + 0.209507i 0.0366220 + 0.0266074i
\(63\) 2.37760 1.72743i 0.299549 0.217635i
\(64\) 0.309017 0.951057i 0.0386271 0.118882i
\(65\) −2.83439 −0.351563
\(66\) 0.115683 + 0.811783i 0.0142396 + 0.0999236i
\(67\) −13.5466 −1.65498 −0.827492 0.561478i \(-0.810233\pi\)
−0.827492 + 0.561478i \(0.810233\pi\)
\(68\) −1.78163 + 5.48331i −0.216055 + 0.664948i
\(69\) −1.43499 + 1.04258i −0.172752 + 0.125512i
\(70\) 0.809017 + 0.587785i 0.0966960 + 0.0702538i
\(71\) −3.86699 11.9014i −0.458928 1.41243i −0.866461 0.499244i \(-0.833611\pi\)
0.407534 0.913190i \(-0.366389\pi\)
\(72\) −0.908162 2.79504i −0.107028 0.329398i
\(73\) 5.82359 + 4.23109i 0.681600 + 0.495211i 0.873888 0.486127i \(-0.161591\pi\)
−0.192288 + 0.981339i \(0.561591\pi\)
\(74\) −2.38460 + 1.73251i −0.277204 + 0.201400i
\(75\) −0.0763997 + 0.235134i −0.00882188 + 0.0271510i
\(76\) 3.66941 0.420910
\(77\) 2.30851 + 2.38134i 0.263079 + 0.271379i
\(78\) −0.700760 −0.0793455
\(79\) 1.89893 5.84432i 0.213647 0.657537i −0.785600 0.618735i \(-0.787646\pi\)
0.999247 0.0388027i \(-0.0123544\pi\)
\(80\) 0.809017 0.587785i 0.0904508 0.0657164i
\(81\) −6.83912 4.96891i −0.759902 0.552101i
\(82\) 0.687804 + 2.11684i 0.0759552 + 0.233766i
\(83\) 0.952443 + 2.93132i 0.104544 + 0.321754i 0.989623 0.143687i \(-0.0458958\pi\)
−0.885079 + 0.465441i \(0.845896\pi\)
\(84\) 0.200017 + 0.145321i 0.0218236 + 0.0158558i
\(85\) −4.66438 + 3.38887i −0.505923 + 0.367574i
\(86\) 2.97898 9.16835i 0.321232 0.988649i
\(87\) −0.349905 −0.0375138
\(88\) 2.97816 1.45965i 0.317473 0.155599i
\(89\) −5.75443 −0.609968 −0.304984 0.952357i \(-0.598651\pi\)
−0.304984 + 0.952357i \(0.598651\pi\)
\(90\) 0.908162 2.79504i 0.0957287 0.294623i
\(91\) −2.29307 + 1.66601i −0.240379 + 0.174646i
\(92\) 5.80414 + 4.21696i 0.605124 + 0.439648i
\(93\) 0.0272315 + 0.0838100i 0.00282378 + 0.00869069i
\(94\) 0.969124 + 2.98266i 0.0999575 + 0.307638i
\(95\) 2.96862 + 2.15683i 0.304574 + 0.221286i
\(96\) 0.200017 0.145321i 0.0204142 0.0148318i
\(97\) 3.87129 11.9146i 0.393070 1.20975i −0.537384 0.843337i \(-0.680588\pi\)
0.930454 0.366408i \(-0.119412\pi\)
\(98\) 1.00000 0.101015
\(99\) 4.55943 8.61501i 0.458240 0.865841i
\(100\) 1.00000 0.100000
\(101\) −1.82358 + 5.61241i −0.181453 + 0.558455i −0.999869 0.0161707i \(-0.994852\pi\)
0.818416 + 0.574626i \(0.194852\pi\)
\(102\) −1.15320 + 0.837846i −0.114183 + 0.0829591i
\(103\) 9.68158 + 7.03408i 0.953955 + 0.693089i 0.951739 0.306909i \(-0.0992947\pi\)
0.00221586 + 0.999998i \(0.499295\pi\)
\(104\) 0.875876 + 2.69567i 0.0858867 + 0.264332i
\(105\) 0.0763997 + 0.235134i 0.00745585 + 0.0229467i
\(106\) −0.707199 0.513810i −0.0686893 0.0499057i
\(107\) 5.08787 3.69655i 0.491863 0.357359i −0.314037 0.949411i \(-0.601682\pi\)
0.805900 + 0.592051i \(0.201682\pi\)
\(108\) 0.453728 1.39643i 0.0436600 0.134372i
\(109\) −3.42125 −0.327696 −0.163848 0.986486i \(-0.552391\pi\)
−0.163848 + 0.986486i \(0.552391\pi\)
\(110\) 3.26734 + 0.569637i 0.311529 + 0.0543127i
\(111\) −0.728730 −0.0691680
\(112\) 0.309017 0.951057i 0.0291994 0.0898664i
\(113\) 13.6095 9.88788i 1.28027 0.930174i 0.280713 0.959792i \(-0.409429\pi\)
0.999561 + 0.0296178i \(0.00942903\pi\)
\(114\) 0.733945 + 0.533242i 0.0687402 + 0.0499427i
\(115\) 2.21699 + 6.82318i 0.206735 + 0.636265i
\(116\) 0.437344 + 1.34601i 0.0406064 + 0.124974i
\(117\) 6.73905 + 4.89621i 0.623026 + 0.452655i
\(118\) 8.49158 6.16949i 0.781713 0.567948i
\(119\) −1.78163 + 5.48331i −0.163322 + 0.502654i
\(120\) 0.247235 0.0225693
\(121\) 10.3510 + 3.72240i 0.941003 + 0.338400i
\(122\) −9.20135 −0.833051
\(123\) −0.170049 + 0.523357i −0.0153328 + 0.0471895i
\(124\) 0.288362 0.209507i 0.0258957 0.0188143i
\(125\) 0.809017 + 0.587785i 0.0723607 + 0.0525731i
\(126\) −0.908162 2.79504i −0.0809055 0.249002i
\(127\) 0.0543127 + 0.167157i 0.00481947 + 0.0148328i 0.953437 0.301591i \(-0.0975178\pi\)
−0.948618 + 0.316424i \(0.897518\pi\)
\(128\) −0.809017 0.587785i −0.0715077 0.0519534i
\(129\) 1.92820 1.40092i 0.169769 0.123344i
\(130\) −0.875876 + 2.69567i −0.0768194 + 0.236426i
\(131\) −11.4391 −0.999438 −0.499719 0.866187i \(-0.666563\pi\)
−0.499719 + 0.866187i \(0.666563\pi\)
\(132\) 0.807800 + 0.140834i 0.0703100 + 0.0122580i
\(133\) 3.66941 0.318178
\(134\) −4.18614 + 12.8836i −0.361627 + 1.11297i
\(135\) 1.18788 0.863043i 0.102236 0.0742789i
\(136\) 4.66438 + 3.38887i 0.399967 + 0.290593i
\(137\) −3.07577 9.46626i −0.262781 0.808757i −0.992196 0.124686i \(-0.960208\pi\)
0.729415 0.684071i \(-0.239792\pi\)
\(138\) 0.548116 + 1.68693i 0.0466587 + 0.143601i
\(139\) 0.507435 + 0.368673i 0.0430401 + 0.0312705i 0.609097 0.793095i \(-0.291532\pi\)
−0.566057 + 0.824366i \(0.691532\pi\)
\(140\) 0.809017 0.587785i 0.0683744 0.0496769i
\(141\) −0.239601 + 0.737416i −0.0201780 + 0.0621017i
\(142\) −12.5139 −1.05014
\(143\) −4.39734 + 8.30873i −0.367724 + 0.694811i
\(144\) −2.93888 −0.244906
\(145\) −0.437344 + 1.34601i −0.0363195 + 0.111780i
\(146\) 5.82359 4.23109i 0.481964 0.350167i
\(147\) 0.200017 + 0.145321i 0.0164971 + 0.0119859i
\(148\) 0.910835 + 2.80326i 0.0748701 + 0.230427i
\(149\) −4.64498 14.2958i −0.380532 1.17116i −0.939670 0.342082i \(-0.888868\pi\)
0.559139 0.829074i \(-0.311132\pi\)
\(150\) 0.200017 + 0.145321i 0.0163313 + 0.0118654i
\(151\) −0.417831 + 0.303572i −0.0340026 + 0.0247043i −0.604657 0.796486i \(-0.706690\pi\)
0.570654 + 0.821191i \(0.306690\pi\)
\(152\) 1.13391 3.48982i 0.0919723 0.283062i
\(153\) 16.9441 1.36985
\(154\) 2.97816 1.45965i 0.239987 0.117622i
\(155\) 0.356435 0.0286295
\(156\) −0.216547 + 0.666462i −0.0173376 + 0.0533597i
\(157\) 18.4280 13.3887i 1.47071 1.06853i 0.490304 0.871552i \(-0.336886\pi\)
0.980407 0.196982i \(-0.0631141\pi\)
\(158\) −4.97148 3.61199i −0.395509 0.287354i
\(159\) −0.0667845 0.205542i −0.00529636 0.0163005i
\(160\) −0.309017 0.951057i −0.0244299 0.0751876i
\(161\) 5.80414 + 4.21696i 0.457431 + 0.332343i
\(162\) −6.83912 + 4.96891i −0.537332 + 0.390394i
\(163\) 1.15063 3.54129i 0.0901246 0.277375i −0.895828 0.444401i \(-0.853416\pi\)
0.985952 + 0.167026i \(0.0534164\pi\)
\(164\) 2.22578 0.173804
\(165\) 0.570744 + 0.588750i 0.0444323 + 0.0458341i
\(166\) 3.08217 0.239223
\(167\) 4.81526 14.8199i 0.372616 1.14680i −0.572456 0.819935i \(-0.694009\pi\)
0.945073 0.326860i \(-0.105991\pi\)
\(168\) 0.200017 0.145321i 0.0154316 0.0112117i
\(169\) 4.01775 + 2.91907i 0.309058 + 0.224544i
\(170\) 1.78163 + 5.48331i 0.136645 + 0.420550i
\(171\) −3.33242 10.2561i −0.254837 0.784307i
\(172\) −7.79907 5.66635i −0.594673 0.432055i
\(173\) −4.77281 + 3.46765i −0.362870 + 0.263641i −0.754248 0.656589i \(-0.771998\pi\)
0.391378 + 0.920230i \(0.371998\pi\)
\(174\) −0.108127 + 0.332780i −0.00819706 + 0.0252280i
\(175\) 1.00000 0.0755929
\(176\) −0.467907 3.28345i −0.0352698 0.247500i
\(177\) 2.59502 0.195053
\(178\) −1.77822 + 5.47279i −0.133283 + 0.410203i
\(179\) −13.2131 + 9.59989i −0.987595 + 0.717529i −0.959393 0.282073i \(-0.908978\pi\)
−0.0282016 + 0.999602i \(0.508978\pi\)
\(180\) −2.37760 1.72743i −0.177216 0.128755i
\(181\) −1.07727 3.31548i −0.0800725 0.246438i 0.903004 0.429631i \(-0.141356\pi\)
−0.983077 + 0.183194i \(0.941356\pi\)
\(182\) 0.875876 + 2.69567i 0.0649242 + 0.199816i
\(183\) −1.84043 1.33715i −0.136048 0.0988449i
\(184\) 5.80414 4.21696i 0.427887 0.310878i
\(185\) −0.910835 + 2.80326i −0.0669659 + 0.206100i
\(186\) 0.0881230 0.00646149
\(187\) 2.69771 + 18.9307i 0.197276 + 1.38435i
\(188\) 3.13615 0.228727
\(189\) 0.453728 1.39643i 0.0330039 0.101576i
\(190\) 2.96862 2.15683i 0.215366 0.156473i
\(191\) −21.0104 15.2649i −1.52026 1.10453i −0.961359 0.275298i \(-0.911223\pi\)
−0.558900 0.829235i \(-0.688777\pi\)
\(192\) −0.0763997 0.235134i −0.00551367 0.0169693i
\(193\) −0.209360 0.644343i −0.0150700 0.0463808i 0.943239 0.332116i \(-0.107762\pi\)
−0.958309 + 0.285735i \(0.907762\pi\)
\(194\) −10.1352 7.36363i −0.727663 0.528678i
\(195\) −0.566927 + 0.411896i −0.0405985 + 0.0294965i
\(196\) 0.309017 0.951057i 0.0220726 0.0679326i
\(197\) 5.80812 0.413811 0.206906 0.978361i \(-0.433661\pi\)
0.206906 + 0.978361i \(0.433661\pi\)
\(198\) −6.78442 6.99846i −0.482148 0.497359i
\(199\) 10.9475 0.776046 0.388023 0.921650i \(-0.373158\pi\)
0.388023 + 0.921650i \(0.373158\pi\)
\(200\) 0.309017 0.951057i 0.0218508 0.0672499i
\(201\) −2.70955 + 1.96861i −0.191117 + 0.138855i
\(202\) 4.77420 + 3.46866i 0.335911 + 0.244054i
\(203\) 0.437344 + 1.34601i 0.0306956 + 0.0944712i
\(204\) 0.440482 + 1.35566i 0.0308399 + 0.0949154i
\(205\) 1.80069 + 1.30828i 0.125766 + 0.0913742i
\(206\) 9.68158 7.03408i 0.674548 0.490088i
\(207\) 6.51544 20.0525i 0.452855 1.39374i
\(208\) 2.83439 0.196530
\(209\) 10.9281 5.35605i 0.755912 0.370486i
\(210\) 0.247235 0.0170608
\(211\) −1.98632 + 6.11326i −0.136744 + 0.420854i −0.995857 0.0909311i \(-0.971016\pi\)
0.859113 + 0.511785i \(0.171016\pi\)
\(212\) −0.707199 + 0.513810i −0.0485706 + 0.0352886i
\(213\) −2.50298 1.81852i −0.171502 0.124603i
\(214\) −1.94339 5.98115i −0.132848 0.408863i
\(215\) −2.97898 9.16835i −0.203165 0.625277i
\(216\) −1.18788 0.863043i −0.0808247 0.0587226i
\(217\) 0.288362 0.209507i 0.0195753 0.0142223i
\(218\) −1.05722 + 3.25380i −0.0716042 + 0.220375i
\(219\) 1.77968 0.120260
\(220\) 1.55142 2.93140i 0.104597 0.197635i
\(221\) −16.3417 −1.09926
\(222\) −0.225190 + 0.693063i −0.0151138 + 0.0465154i
\(223\) −18.7731 + 13.6394i −1.25714 + 0.913365i −0.998614 0.0526396i \(-0.983237\pi\)
−0.258525 + 0.966004i \(0.583237\pi\)
\(224\) −0.809017 0.587785i −0.0540547 0.0392731i
\(225\) −0.908162 2.79504i −0.0605442 0.186336i
\(226\) −5.19837 15.9989i −0.345790 1.06423i
\(227\) 20.6878 + 15.0306i 1.37310 + 0.997614i 0.997488 + 0.0708363i \(0.0225668\pi\)
0.375610 + 0.926778i \(0.377433\pi\)
\(228\) 0.733945 0.533242i 0.0486067 0.0353148i
\(229\) 1.24380 3.82801i 0.0821923 0.252962i −0.901512 0.432753i \(-0.857542\pi\)
0.983705 + 0.179791i \(0.0575422\pi\)
\(230\) 7.17432 0.473060
\(231\) 0.807800 + 0.140834i 0.0531493 + 0.00926620i
\(232\) 1.41528 0.0929174
\(233\) −1.13632 + 3.49724i −0.0744428 + 0.229111i −0.981354 0.192211i \(-0.938434\pi\)
0.906911 + 0.421323i \(0.138434\pi\)
\(234\) 6.73905 4.89621i 0.440546 0.320075i
\(235\) 2.53720 + 1.84338i 0.165509 + 0.120249i
\(236\) −3.24350 9.98245i −0.211134 0.649802i
\(237\) −0.469482 1.44492i −0.0304962 0.0938575i
\(238\) 4.66438 + 3.38887i 0.302347 + 0.219668i
\(239\) 0.885417 0.643293i 0.0572728 0.0416112i −0.558780 0.829316i \(-0.688731\pi\)
0.616053 + 0.787704i \(0.288731\pi\)
\(240\) 0.0763997 0.235134i 0.00493158 0.0151778i
\(241\) 6.24902 0.402535 0.201267 0.979536i \(-0.435494\pi\)
0.201267 + 0.979536i \(0.435494\pi\)
\(242\) 6.73885 8.69413i 0.433190 0.558880i
\(243\) −6.49491 −0.416649
\(244\) −2.84337 + 8.75101i −0.182028 + 0.560226i
\(245\) 0.809017 0.587785i 0.0516862 0.0375522i
\(246\) 0.445194 + 0.323452i 0.0283845 + 0.0206226i
\(247\) 3.21395 + 9.89152i 0.204499 + 0.629382i
\(248\) −0.110144 0.338990i −0.00699418 0.0215259i
\(249\) 0.616486 + 0.447904i 0.0390682 + 0.0283847i
\(250\) 0.809017 0.587785i 0.0511667 0.0371748i
\(251\) −5.96142 + 18.3474i −0.376281 + 1.15808i 0.566329 + 0.824179i \(0.308363\pi\)
−0.942610 + 0.333896i \(0.891637\pi\)
\(252\) −2.93888 −0.185132
\(253\) 23.4409 + 4.08675i 1.47372 + 0.256932i
\(254\) 0.175760 0.0110281
\(255\) −0.440482 + 1.35566i −0.0275840 + 0.0848949i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) −20.4409 14.8512i −1.27507 0.926391i −0.275675 0.961251i \(-0.588901\pi\)
−0.999392 + 0.0348601i \(0.988901\pi\)
\(258\) −0.736507 2.26673i −0.0458529 0.141121i
\(259\) 0.910835 + 2.80326i 0.0565965 + 0.174186i
\(260\) 2.29307 + 1.66601i 0.142210 + 0.103322i
\(261\) 3.36496 2.44479i 0.208286 0.151329i
\(262\) −3.53487 + 10.8792i −0.218385 + 0.672121i
\(263\) 2.99352 0.184589 0.0922943 0.995732i \(-0.470580\pi\)
0.0922943 + 0.995732i \(0.470580\pi\)
\(264\) 0.383565 0.724743i 0.0236068 0.0446049i
\(265\) −0.874146 −0.0536984
\(266\) 1.13391 3.48982i 0.0695245 0.213975i
\(267\) −1.15098 + 0.836239i −0.0704390 + 0.0511770i
\(268\) 10.9594 + 7.96250i 0.669455 + 0.486387i
\(269\) −6.95328 21.4000i −0.423949 1.30478i −0.903997 0.427539i \(-0.859381\pi\)
0.480048 0.877242i \(-0.340619\pi\)
\(270\) −0.453728 1.39643i −0.0276130 0.0849842i
\(271\) 11.0258 + 8.01071i 0.669770 + 0.486616i 0.869948 0.493143i \(-0.164152\pi\)
−0.200178 + 0.979759i \(0.564152\pi\)
\(272\) 4.66438 3.38887i 0.282819 0.205480i
\(273\) −0.216547 + 0.666462i −0.0131060 + 0.0403361i
\(274\) −9.95341 −0.601307
\(275\) 2.97816 1.45965i 0.179590 0.0880201i
\(276\) 1.77374 0.106767
\(277\) −7.27627 + 22.3941i −0.437189 + 1.34553i 0.453638 + 0.891186i \(0.350126\pi\)
−0.890827 + 0.454343i \(0.849874\pi\)
\(278\) 0.507435 0.368673i 0.0304339 0.0221115i
\(279\) −0.847459 0.615715i −0.0507361 0.0368619i
\(280\) −0.309017 0.951057i −0.0184673 0.0568365i
\(281\) −5.92808 18.2448i −0.353640 1.08839i −0.956794 0.290767i \(-0.906090\pi\)
0.603154 0.797625i \(-0.293910\pi\)
\(282\) 0.627284 + 0.455748i 0.0373542 + 0.0271394i
\(283\) −13.9735 + 10.1523i −0.830639 + 0.603494i −0.919740 0.392528i \(-0.871601\pi\)
0.0891012 + 0.996023i \(0.471601\pi\)
\(284\) −3.86699 + 11.9014i −0.229464 + 0.706217i
\(285\) 0.907206 0.0537382
\(286\) 6.54322 + 6.74965i 0.386909 + 0.399115i
\(287\) 2.22578 0.131384
\(288\) −0.908162 + 2.79504i −0.0535140 + 0.164699i
\(289\) −13.1391 + 9.54614i −0.772890 + 0.561538i
\(290\) 1.14498 + 0.831879i 0.0672357 + 0.0488496i
\(291\) −0.957117 2.94570i −0.0561072 0.172680i
\(292\) −2.22441 6.84604i −0.130174 0.400634i
\(293\) 26.6424 + 19.3568i 1.55646 + 1.13084i 0.938835 + 0.344366i \(0.111906\pi\)
0.617628 + 0.786470i \(0.288094\pi\)
\(294\) 0.200017 0.145321i 0.0116652 0.00847529i
\(295\) 3.24350 9.98245i 0.188844 0.581201i
\(296\) 2.94752 0.171321
\(297\) −0.687026 4.82108i −0.0398653 0.279747i
\(298\) −15.0315 −0.870750
\(299\) −6.28381 + 19.3396i −0.363402 + 1.11844i
\(300\) 0.200017 0.145321i 0.0115480 0.00839011i
\(301\) −7.79907 5.66635i −0.449531 0.326603i
\(302\) 0.159597 + 0.491190i 0.00918379 + 0.0282648i
\(303\) 0.450853 + 1.38758i 0.0259008 + 0.0797145i
\(304\) −2.96862 2.15683i −0.170262 0.123702i
\(305\) −7.44405 + 5.40842i −0.426245 + 0.309685i
\(306\) 5.23600 16.1147i 0.299322 0.921219i
\(307\) −7.97195 −0.454983 −0.227492 0.973780i \(-0.573052\pi\)
−0.227492 + 0.973780i \(0.573052\pi\)
\(308\) −0.467907 3.28345i −0.0266615 0.187092i
\(309\) 2.95868 0.168313
\(310\) 0.110144 0.338990i 0.00625578 0.0192533i
\(311\) 3.24283 2.35606i 0.183884 0.133600i −0.492035 0.870575i \(-0.663747\pi\)
0.675919 + 0.736976i \(0.263747\pi\)
\(312\) 0.566927 + 0.411896i 0.0320959 + 0.0233190i
\(313\) 1.62932 + 5.01454i 0.0920949 + 0.283439i 0.986486 0.163847i \(-0.0523905\pi\)
−0.894391 + 0.447286i \(0.852390\pi\)
\(314\) −7.03885 21.6634i −0.397225 1.22253i
\(315\) −2.37760 1.72743i −0.133963 0.0973295i
\(316\) −4.97148 + 3.61199i −0.279667 + 0.203190i
\(317\) −1.43995 + 4.43172i −0.0808758 + 0.248910i −0.983316 0.181905i \(-0.941774\pi\)
0.902440 + 0.430815i \(0.141774\pi\)
\(318\) −0.216119 −0.0121194
\(319\) 3.26718 + 3.37025i 0.182927 + 0.188698i
\(320\) −1.00000 −0.0559017
\(321\) 0.480474 1.47875i 0.0268174 0.0825356i
\(322\) 5.80414 4.21696i 0.323452 0.235002i
\(323\) 17.1155 + 12.4352i 0.952333 + 0.691911i
\(324\) 2.61231 + 8.03986i 0.145128 + 0.446659i
\(325\) 0.875876 + 2.69567i 0.0485848 + 0.149529i
\(326\) −3.01240 2.18864i −0.166841 0.121217i
\(327\) −0.684308 + 0.497179i −0.0378423 + 0.0274940i
\(328\) 0.687804 2.11684i 0.0379776 0.116883i
\(329\) 3.13615 0.172902
\(330\) 0.736304 0.360876i 0.0405322 0.0198656i
\(331\) −25.0199 −1.37522 −0.687608 0.726082i \(-0.741339\pi\)
−0.687608 + 0.726082i \(0.741339\pi\)
\(332\) 0.952443 2.93132i 0.0522721 0.160877i
\(333\) 7.00803 5.09163i 0.384038 0.279020i
\(334\) −12.6065 9.15918i −0.689798 0.501168i
\(335\) 4.18614 + 12.8836i 0.228713 + 0.703906i
\(336\) −0.0763997 0.235134i −0.00416795 0.0128276i
\(337\) −12.8931 9.36738i −0.702332 0.510274i 0.178359 0.983965i \(-0.442921\pi\)
−0.880691 + 0.473692i \(0.842921\pi\)
\(338\) 4.01775 2.91907i 0.218537 0.158776i
\(339\) 1.28522 3.95549i 0.0698034 0.214833i
\(340\) 5.76549 0.312678
\(341\) 0.552980 1.04485i 0.0299456 0.0565819i
\(342\) −10.7839 −0.583129
\(343\) 0.309017 0.951057i 0.0166853 0.0513522i
\(344\) −7.79907 + 5.66635i −0.420498 + 0.305509i
\(345\) 1.43499 + 1.04258i 0.0772570 + 0.0561305i
\(346\) 1.82305 + 5.61078i 0.0980079 + 0.301637i
\(347\) −3.84030 11.8192i −0.206158 0.634490i −0.999664 0.0259268i \(-0.991746\pi\)
0.793506 0.608563i \(-0.208254\pi\)
\(348\) 0.283079 + 0.205669i 0.0151746 + 0.0110250i
\(349\) 13.1165 9.52968i 0.702109 0.510112i −0.178510 0.983938i \(-0.557128\pi\)
0.880618 + 0.473826i \(0.157128\pi\)
\(350\) 0.309017 0.951057i 0.0165177 0.0508361i
\(351\) 4.16173 0.222137
\(352\) −3.26734 0.569637i −0.174150 0.0303617i
\(353\) −21.8320 −1.16200 −0.580999 0.813904i \(-0.697338\pi\)
−0.580999 + 0.813904i \(0.697338\pi\)
\(354\) 0.801904 2.46801i 0.0426207 0.131173i
\(355\) −10.1239 + 7.35546i −0.537322 + 0.390387i
\(356\) 4.65543 + 3.38237i 0.246737 + 0.179265i
\(357\) 0.440482 + 1.35566i 0.0233128 + 0.0717493i
\(358\) 5.04696 + 15.5329i 0.266740 + 0.820942i
\(359\) 14.7326 + 10.7039i 0.777559 + 0.564930i 0.904246 0.427013i \(-0.140434\pi\)
−0.126686 + 0.991943i \(0.540434\pi\)
\(360\) −2.37760 + 1.72743i −0.125311 + 0.0910434i
\(361\) −1.71054 + 5.26449i −0.0900282 + 0.277078i
\(362\) −3.48610 −0.183226
\(363\) 2.61132 0.759678i 0.137059 0.0398728i
\(364\) 2.83439 0.148563
\(365\) 2.22441 6.84604i 0.116431 0.358338i
\(366\) −1.84043 + 1.33715i −0.0962007 + 0.0698939i
\(367\) 4.27045 + 3.10266i 0.222916 + 0.161958i 0.693638 0.720324i \(-0.256007\pi\)
−0.470722 + 0.882281i \(0.656007\pi\)
\(368\) −2.21699 6.82318i −0.115568 0.355683i
\(369\) −2.02137 6.22113i −0.105228 0.323859i
\(370\) 2.38460 + 1.73251i 0.123969 + 0.0900689i
\(371\) −0.707199 + 0.513810i −0.0367160 + 0.0266757i
\(372\) 0.0272315 0.0838100i 0.00141189 0.00434535i
\(373\) 18.5799 0.962031 0.481016 0.876712i \(-0.340268\pi\)
0.481016 + 0.876712i \(0.340268\pi\)
\(374\) 18.8378 + 3.28423i 0.974080 + 0.169824i
\(375\) 0.247235 0.0127671
\(376\) 0.969124 2.98266i 0.0499788 0.153819i
\(377\) −3.24533 + 2.35787i −0.167143 + 0.121437i
\(378\) −1.18788 0.863043i −0.0610978 0.0443901i
\(379\) 7.05813 + 21.7227i 0.362552 + 1.11582i 0.951500 + 0.307648i \(0.0995421\pi\)
−0.588948 + 0.808171i \(0.700458\pi\)
\(380\) −1.13391 3.48982i −0.0581684 0.179024i
\(381\) 0.0351549 + 0.0255416i 0.00180104 + 0.00130853i
\(382\) −21.0104 + 15.2649i −1.07499 + 0.781023i
\(383\) −6.94469 + 21.3735i −0.354857 + 1.09214i 0.601235 + 0.799072i \(0.294675\pi\)
−0.956092 + 0.293065i \(0.905325\pi\)
\(384\) −0.247235 −0.0126166
\(385\) 1.55142 2.93140i 0.0790677 0.149398i
\(386\) −0.677502 −0.0344840
\(387\) −8.75485 + 26.9446i −0.445034 + 1.36967i
\(388\) −10.1352 + 7.36363i −0.514535 + 0.373832i
\(389\) −29.3267 21.3071i −1.48692 1.08031i −0.975243 0.221134i \(-0.929024\pi\)
−0.511678 0.859178i \(-0.670976\pi\)
\(390\) 0.216547 + 0.666462i 0.0109653 + 0.0337476i
\(391\) 12.7820 + 39.3390i 0.646414 + 1.98946i
\(392\) −0.809017 0.587785i −0.0408615 0.0296876i
\(393\) −2.28801 + 1.66234i −0.115415 + 0.0838539i
\(394\) 1.79481 5.52385i 0.0904211 0.278288i
\(395\) −6.14508 −0.309193
\(396\) −8.75243 + 4.28973i −0.439826 + 0.215567i
\(397\) −8.02992 −0.403010 −0.201505 0.979487i \(-0.564583\pi\)
−0.201505 + 0.979487i \(0.564583\pi\)
\(398\) 3.38296 10.4117i 0.169572 0.521890i
\(399\) 0.733945 0.533242i 0.0367432 0.0266955i
\(400\) −0.809017 0.587785i −0.0404508 0.0293893i
\(401\) 0.207790 + 0.639511i 0.0103765 + 0.0319356i 0.956111 0.293006i \(-0.0946555\pi\)
−0.945734 + 0.324941i \(0.894655\pi\)
\(402\) 1.03496 + 3.18527i 0.0516190 + 0.158867i
\(403\) 0.817331 + 0.593825i 0.0407141 + 0.0295806i
\(404\) 4.77420 3.46866i 0.237525 0.172572i
\(405\) −2.61231 + 8.03986i −0.129807 + 0.399504i
\(406\) 1.41528 0.0702390
\(407\) 6.80439 + 7.01906i 0.337281 + 0.347922i
\(408\) 1.42543 0.0705692
\(409\) −6.71756 + 20.6745i −0.332162 + 1.02229i 0.635941 + 0.771738i \(0.280612\pi\)
−0.968103 + 0.250552i \(0.919388\pi\)
\(410\) 1.80069 1.30828i 0.0889299 0.0646113i
\(411\) −1.99085 1.44644i −0.0982015 0.0713475i
\(412\) −3.69804 11.3814i −0.182189 0.560721i
\(413\) −3.24350 9.98245i −0.159602 0.491204i
\(414\) −17.0577 12.3931i −0.838338 0.609088i
\(415\) 2.49353 1.81165i 0.122402 0.0889306i
\(416\) 0.875876 2.69567i 0.0429433 0.132166i
\(417\) 0.155072 0.00759389
\(418\) −1.71694 12.0483i −0.0839784 0.589304i
\(419\) −7.38003 −0.360538 −0.180269 0.983617i \(-0.557697\pi\)
−0.180269 + 0.983617i \(0.557697\pi\)
\(420\) 0.0763997 0.235134i 0.00372792 0.0114734i
\(421\) −23.8253 + 17.3101i −1.16118 + 0.843643i −0.989926 0.141585i \(-0.954780\pi\)
−0.171249 + 0.985228i \(0.554780\pi\)
\(422\) 5.20025 + 3.77820i 0.253144 + 0.183920i
\(423\) −2.84813 8.76566i −0.138481 0.426201i
\(424\) 0.270126 + 0.831363i 0.0131185 + 0.0403745i
\(425\) 4.66438 + 3.38887i 0.226256 + 0.164384i
\(426\) −2.50298 + 1.81852i −0.121270 + 0.0881078i
\(427\) −2.84337 + 8.75101i −0.137601 + 0.423491i
\(428\) −6.28895 −0.303988
\(429\) 0.327891 + 2.30091i 0.0158307 + 0.111089i
\(430\) −9.64018 −0.464891
\(431\) −6.07841 + 18.7074i −0.292787 + 0.901105i 0.691169 + 0.722693i \(0.257096\pi\)
−0.983956 + 0.178412i \(0.942904\pi\)
\(432\) −1.18788 + 0.863043i −0.0571517 + 0.0415232i
\(433\) 13.7941 + 10.0220i 0.662901 + 0.481626i 0.867641 0.497191i \(-0.165635\pi\)
−0.204741 + 0.978816i \(0.565635\pi\)
\(434\) −0.110144 0.338990i −0.00528710 0.0162720i
\(435\) 0.108127 + 0.332780i 0.00518428 + 0.0159556i
\(436\) 2.76785 + 2.01096i 0.132556 + 0.0963075i
\(437\) 21.2978 15.4738i 1.01881 0.740210i
\(438\) 0.549952 1.69258i 0.0262777 0.0808746i
\(439\) 29.9589 1.42986 0.714929 0.699197i \(-0.246459\pi\)
0.714929 + 0.699197i \(0.246459\pi\)
\(440\) −2.30851 2.38134i −0.110054 0.113526i
\(441\) −2.93888 −0.139946
\(442\) −5.04985 + 15.5418i −0.240197 + 0.739250i
\(443\) −33.4087 + 24.2728i −1.58730 + 1.15324i −0.679621 + 0.733563i \(0.737856\pi\)
−0.907675 + 0.419675i \(0.862144\pi\)
\(444\) 0.589555 + 0.428337i 0.0279790 + 0.0203280i
\(445\) 1.77822 + 5.47279i 0.0842955 + 0.259435i
\(446\) 7.17068 + 22.0691i 0.339542 + 1.04500i
\(447\) −3.00655 2.18439i −0.142205 0.103318i
\(448\) −0.809017 + 0.587785i −0.0382225 + 0.0277702i
\(449\) 10.4838 32.2658i 0.494761 1.52272i −0.322567 0.946547i \(-0.604546\pi\)
0.817328 0.576172i \(-0.195454\pi\)
\(450\) −2.93888 −0.138540
\(451\) 6.62872 3.24886i 0.312134 0.152983i
\(452\) −16.8223 −0.791253
\(453\) −0.0394580 + 0.121439i −0.00185390 + 0.00570571i
\(454\) 20.6878 15.0306i 0.970927 0.705420i
\(455\) 2.29307 + 1.66601i 0.107501 + 0.0781040i
\(456\) −0.280342 0.862804i −0.0131282 0.0404045i
\(457\) 6.17812 + 19.0143i 0.289000 + 0.889452i 0.985171 + 0.171575i \(0.0548857\pi\)
−0.696171 + 0.717876i \(0.745114\pi\)
\(458\) −3.25630 2.36584i −0.152157 0.110548i
\(459\) 6.84869 4.97586i 0.319669 0.232253i
\(460\) 2.21699 6.82318i 0.103367 0.318132i
\(461\) −17.4739 −0.813840 −0.406920 0.913464i \(-0.633397\pi\)
−0.406920 + 0.913464i \(0.633397\pi\)
\(462\) 0.383565 0.724743i 0.0178451 0.0337181i
\(463\) −41.7730 −1.94135 −0.970677 0.240386i \(-0.922726\pi\)
−0.970677 + 0.240386i \(0.922726\pi\)
\(464\) 0.437344 1.34601i 0.0203032 0.0624868i
\(465\) 0.0712930 0.0517974i 0.00330614 0.00240205i
\(466\) 2.97493 + 2.16141i 0.137811 + 0.100125i
\(467\) −4.24825 13.0748i −0.196586 0.605028i −0.999954 0.00954640i \(-0.996961\pi\)
0.803369 0.595482i \(-0.203039\pi\)
\(468\) −2.57409 7.92223i −0.118987 0.366205i
\(469\) 10.9594 + 7.96250i 0.506060 + 0.367674i
\(470\) 2.53720 1.84338i 0.117032 0.0850289i
\(471\) 1.74025 5.35593i 0.0801864 0.246788i
\(472\) −10.4962 −0.483125
\(473\) −31.4977 5.49140i −1.44827 0.252495i
\(474\) −1.51928 −0.0697827
\(475\) 1.13391 3.48982i 0.0520274 0.160124i
\(476\) 4.66438 3.38887i 0.213791 0.155329i
\(477\) 2.07837 + 1.51002i 0.0951620 + 0.0691393i
\(478\) −0.338199 1.04087i −0.0154689 0.0476083i
\(479\) −6.38541 19.6523i −0.291757 0.897935i −0.984292 0.176551i \(-0.943506\pi\)
0.692535 0.721385i \(-0.256494\pi\)
\(480\) −0.200017 0.145321i −0.00912949 0.00663296i
\(481\) −6.75888 + 4.91062i −0.308178 + 0.223905i
\(482\) 1.93105 5.94317i 0.0879571 0.270704i
\(483\) 1.77374 0.0807079
\(484\) −6.18619 9.09566i −0.281190 0.413439i
\(485\) −12.5278 −0.568856
\(486\) −2.00704 + 6.17703i −0.0910411 + 0.280196i
\(487\) 17.8833 12.9929i 0.810368 0.588767i −0.103570 0.994622i \(-0.533026\pi\)
0.913937 + 0.405856i \(0.133026\pi\)
\(488\) 7.44405 + 5.40842i 0.336976 + 0.244828i
\(489\) −0.284477 0.875529i −0.0128645 0.0395928i
\(490\) −0.309017 0.951057i −0.0139600 0.0429644i
\(491\) −8.65440 6.28779i −0.390568 0.283764i 0.375120 0.926976i \(-0.377601\pi\)
−0.765688 + 0.643212i \(0.777601\pi\)
\(492\) 0.445194 0.323452i 0.0200709 0.0145824i
\(493\) −2.52150 + 7.76039i −0.113563 + 0.349510i
\(494\) 10.4006 0.467943
\(495\) −9.60231 1.67409i −0.431592 0.0752448i
\(496\) −0.356435 −0.0160044
\(497\) −3.86699 + 11.9014i −0.173458 + 0.533850i
\(498\) 0.616486 0.447904i 0.0276254 0.0200710i
\(499\) −1.50322 1.09216i −0.0672935 0.0488916i 0.553630 0.832763i \(-0.313242\pi\)
−0.620923 + 0.783871i \(0.713242\pi\)
\(500\) −0.309017 0.951057i −0.0138197 0.0425325i
\(501\) −1.19050 3.66398i −0.0531876 0.163695i
\(502\) 15.6072 + 11.3393i 0.696583 + 0.506097i
\(503\) 10.9612 7.96375i 0.488734 0.355086i −0.315963 0.948771i \(-0.602328\pi\)
0.804697 + 0.593686i \(0.202328\pi\)
\(504\) −0.908162 + 2.79504i −0.0404528 + 0.124501i
\(505\) 5.90123 0.262601
\(506\) 11.1304 21.0308i 0.494806 0.934932i
\(507\) 1.22782 0.0545295
\(508\) 0.0543127 0.167157i 0.00240974 0.00741641i
\(509\) 5.15160 3.74285i 0.228341 0.165899i −0.467733 0.883870i \(-0.654929\pi\)
0.696073 + 0.717971i \(0.254929\pi\)
\(510\) 1.15320 + 0.837846i 0.0510644 + 0.0371004i
\(511\) −2.22441 6.84604i −0.0984023 0.302851i
\(512\) 0.309017 + 0.951057i 0.0136568 + 0.0420312i
\(513\) −4.35881 3.16686i −0.192446 0.139820i
\(514\) −20.4409 + 14.8512i −0.901609 + 0.655057i
\(515\) 3.69804 11.3814i 0.162955 0.501524i
\(516\) −2.38339 −0.104923
\(517\) 9.33995 4.57768i 0.410771 0.201326i
\(518\) 2.94752 0.129507
\(519\) −0.450722 + 1.38718i −0.0197845 + 0.0608904i
\(520\) 2.29307 1.66601i 0.100558 0.0730596i
\(521\) 19.5534 + 14.2064i 0.856650 + 0.622393i 0.926972 0.375131i \(-0.122402\pi\)
−0.0703212 + 0.997524i \(0.522402\pi\)
\(522\) −1.28530 3.95575i −0.0562561 0.173138i
\(523\) −9.45125 29.0879i −0.413274 1.27193i −0.913785 0.406197i \(-0.866855\pi\)
0.500511 0.865730i \(-0.333145\pi\)
\(524\) 9.25442 + 6.72373i 0.404281 + 0.293728i
\(525\) 0.200017 0.145321i 0.00872946 0.00634232i
\(526\) 0.925049 2.84701i 0.0403341 0.124136i
\(527\) 2.05502 0.0895181
\(528\) −0.570744 0.588750i −0.0248384 0.0256221i
\(529\) 28.4708 1.23786
\(530\) −0.270126 + 0.831363i −0.0117335 + 0.0361121i
\(531\) −24.9557 + 18.1314i −1.08298 + 0.786835i
\(532\) −2.96862 2.15683i −0.128706 0.0935103i
\(533\) 1.94951 + 5.99996i 0.0844424 + 0.259887i
\(534\) 0.439637 + 1.35306i 0.0190249 + 0.0585527i
\(535\) −5.08787 3.69655i −0.219968 0.159816i
\(536\) 10.9594 7.96250i 0.473376 0.343928i
\(537\) −1.24778 + 3.84028i −0.0538458 + 0.165720i
\(538\) −22.5013 −0.970100
\(539\) −0.467907 3.28345i −0.0201542 0.141428i
\(540\) −1.46830 −0.0631854
\(541\) 6.85751 21.1053i 0.294828 0.907386i −0.688452 0.725282i \(-0.741709\pi\)
0.983279 0.182104i \(-0.0582907\pi\)
\(542\) 11.0258 8.01071i 0.473599 0.344090i
\(543\) −0.697280 0.506604i −0.0299232 0.0217404i
\(544\) −1.78163 5.48331i −0.0763869 0.235095i
\(545\) 1.05722 + 3.25380i 0.0452865 + 0.139377i
\(546\) 0.566927 + 0.411896i 0.0242622 + 0.0176275i
\(547\) −13.9053 + 10.1028i −0.594549 + 0.431965i −0.843940 0.536438i \(-0.819770\pi\)
0.249391 + 0.968403i \(0.419770\pi\)
\(548\) −3.07577 + 9.46626i −0.131391 + 0.404378i
\(549\) 27.0416 1.15411
\(550\) −0.467907 3.28345i −0.0199516 0.140007i
\(551\) 5.19323 0.221239
\(552\) 0.548116 1.68693i 0.0233294 0.0718004i
\(553\) −4.97148 + 3.61199i −0.211409 + 0.153597i
\(554\) 19.0495 + 13.8403i 0.809337 + 0.588018i
\(555\) 0.225190 + 0.693063i 0.00955878 + 0.0294189i
\(556\) −0.193823 0.596526i −0.00821992 0.0252983i
\(557\) 4.87829 + 3.54428i 0.206700 + 0.150176i 0.686319 0.727300i \(-0.259225\pi\)
−0.479620 + 0.877477i \(0.659225\pi\)
\(558\) −0.847459 + 0.615715i −0.0358758 + 0.0260653i
\(559\) 8.44360 25.9867i 0.357126 1.09912i
\(560\) −1.00000 −0.0422577
\(561\) 3.29062 + 3.39443i 0.138930 + 0.143313i
\(562\) −19.1837 −0.809215
\(563\) 8.40482 25.8674i 0.354221 1.09018i −0.602239 0.798316i \(-0.705724\pi\)
0.956460 0.291864i \(-0.0942755\pi\)
\(564\) 0.627284 0.455748i 0.0264134 0.0191905i
\(565\) −13.6095 9.88788i −0.572556 0.415986i
\(566\) 5.33740 + 16.4268i 0.224348 + 0.690472i
\(567\) 2.61231 + 8.03986i 0.109707 + 0.337642i
\(568\) 10.1239 + 7.35546i 0.424790 + 0.308628i
\(569\) −25.7900 + 18.7376i −1.08117 + 0.785519i −0.977887 0.209132i \(-0.932936\pi\)
−0.103287 + 0.994652i \(0.532936\pi\)
\(570\) 0.280342 0.862804i 0.0117422 0.0361389i
\(571\) −26.4539 −1.10706 −0.553531 0.832829i \(-0.686720\pi\)
−0.553531 + 0.832829i \(0.686720\pi\)
\(572\) 8.44127 4.13722i 0.352947 0.172986i
\(573\) −6.42075 −0.268231
\(574\) 0.687804 2.11684i 0.0287084 0.0883553i
\(575\) 5.80414 4.21696i 0.242050 0.175859i
\(576\) 2.37760 + 1.72743i 0.0990667 + 0.0719761i
\(577\) −9.28678 28.5818i −0.386614 1.18987i −0.935303 0.353848i \(-0.884873\pi\)
0.548689 0.836026i \(-0.315127\pi\)
\(578\) 5.01870 + 15.4460i 0.208750 + 0.642468i
\(579\) −0.135512 0.0984552i −0.00563169 0.00409166i
\(580\) 1.14498 0.831879i 0.0475428 0.0345419i
\(581\) 0.952443 2.93132i 0.0395140 0.121612i
\(582\) −3.09730 −0.128387
\(583\) −1.35617 + 2.56247i −0.0561668 + 0.106127i
\(584\) −7.19836 −0.297870
\(585\) 2.57409 7.92223i 0.106425 0.327544i
\(586\) 26.6424 19.3568i 1.10059 0.799622i
\(587\) −21.6472 15.7276i −0.893475 0.649148i 0.0433068 0.999062i \(-0.486211\pi\)
−0.936782 + 0.349914i \(0.886211\pi\)
\(588\) −0.0763997 0.235134i −0.00315067 0.00969677i
\(589\) −0.404165 1.24389i −0.0166533 0.0512537i
\(590\) −8.49158 6.16949i −0.349593 0.253994i
\(591\) 1.16172 0.844041i 0.0477869 0.0347192i
\(592\) 0.910835 2.80326i 0.0374351 0.115213i
\(593\) −3.33504 −0.136954 −0.0684768 0.997653i \(-0.521814\pi\)
−0.0684768 + 0.997653i \(0.521814\pi\)
\(594\) −4.79742 0.836395i −0.196841 0.0343177i
\(595\) 5.76549 0.236362
\(596\) −4.64498 + 14.2958i −0.190266 + 0.585578i
\(597\) 2.18968 1.59090i 0.0896177 0.0651111i
\(598\) 16.4512 + 11.9525i 0.672741 + 0.488775i
\(599\) −1.02951 3.16849i −0.0420645 0.129461i 0.927819 0.373031i \(-0.121681\pi\)
−0.969883 + 0.243570i \(0.921681\pi\)
\(600\) −0.0763997 0.235134i −0.00311901 0.00959931i
\(601\) 33.6092 + 24.4185i 1.37095 + 0.996052i 0.997662 + 0.0683358i \(0.0217689\pi\)
0.373286 + 0.927716i \(0.378231\pi\)
\(602\) −7.79907 + 5.66635i −0.317866 + 0.230943i
\(603\) 12.3025 37.8633i 0.500998 1.54191i
\(604\) 0.516467 0.0210148
\(605\) 0.341565 10.9947i 0.0138866 0.446998i
\(606\) 1.45899 0.0592674
\(607\) 6.47935 19.9414i 0.262989 0.809396i −0.729161 0.684342i \(-0.760090\pi\)
0.992150 0.125054i \(-0.0399104\pi\)
\(608\) −2.96862 + 2.15683i −0.120393 + 0.0874709i
\(609\) 0.283079 + 0.205669i 0.0114710 + 0.00833414i
\(610\) 2.84337 + 8.75101i 0.115125 + 0.354318i
\(611\) 2.74688 + 8.45402i 0.111127 + 0.342013i
\(612\) −13.7080 9.95946i −0.554114 0.402587i
\(613\) 2.24252 1.62929i 0.0905746 0.0658063i −0.541576 0.840652i \(-0.682172\pi\)
0.632151 + 0.774845i \(0.282172\pi\)
\(614\) −2.46347 + 7.58177i −0.0994175 + 0.305976i
\(615\) 0.550290 0.0221898
\(616\) −3.26734 0.569637i −0.131645 0.0229513i
\(617\) 48.3567 1.94677 0.973384 0.229180i \(-0.0736043\pi\)
0.973384 + 0.229180i \(0.0736043\pi\)
\(618\) 0.914283 2.81387i 0.0367778 0.113191i
\(619\) −37.9263 + 27.5551i −1.52439 + 1.10753i −0.565128 + 0.825003i \(0.691173\pi\)
−0.959259 + 0.282528i \(0.908827\pi\)
\(620\) −0.288362 0.209507i −0.0115809 0.00841401i
\(621\) −3.25519 10.0184i −0.130626 0.402026i
\(622\) −1.23865 3.81218i −0.0496654 0.152854i
\(623\) 4.65543 + 3.38237i 0.186516 + 0.135512i
\(624\) 0.566927 0.411896i 0.0226952 0.0164891i
\(625\) 0.309017 0.951057i 0.0123607 0.0380423i
\(626\) 5.27260 0.210736
\(627\) 1.40746 2.65938i 0.0562085 0.106205i
\(628\) −22.7782 −0.908949
\(629\) −5.25141 + 16.1622i −0.209387 + 0.644428i
\(630\) −2.37760 + 1.72743i −0.0947258 + 0.0688224i
\(631\) 17.4598 + 12.6853i 0.695063 + 0.504993i 0.878321 0.478072i \(-0.158664\pi\)
−0.183258 + 0.983065i \(0.558664\pi\)
\(632\) 1.89893 + 5.84432i 0.0755356 + 0.232475i
\(633\) 0.491087 + 1.51141i 0.0195190 + 0.0600732i
\(634\) 3.76984 + 2.73895i 0.149720 + 0.108778i
\(635\) 0.142193 0.103309i 0.00564274 0.00409969i
\(636\) −0.0667845 + 0.205542i −0.00264818 + 0.00815026i
\(637\) 2.83439 0.112303
\(638\) 4.21492 2.06581i 0.166870 0.0817860i
\(639\) 36.7766 1.45486
\(640\) −0.309017 + 0.951057i −0.0122150 + 0.0375938i
\(641\) −18.5952 + 13.5102i −0.734466 + 0.533621i −0.890973 0.454056i \(-0.849977\pi\)
0.156507 + 0.987677i \(0.449977\pi\)
\(642\) −1.25790 0.913916i −0.0496452 0.0360694i
\(643\) −10.1692 31.2975i −0.401034 1.23425i −0.924162 0.382001i \(-0.875235\pi\)
0.523129 0.852254i \(-0.324765\pi\)
\(644\) −2.21699 6.82318i −0.0873615 0.268871i
\(645\) −1.92820 1.40092i −0.0759228 0.0551611i
\(646\) 17.1155 12.4352i 0.673401 0.489255i
\(647\) 6.15565 18.9451i 0.242004 0.744810i −0.754111 0.656747i \(-0.771932\pi\)
0.996115 0.0880637i \(-0.0280679\pi\)
\(648\) 8.45361 0.332089
\(649\) −24.2305 24.9950i −0.951131 0.981138i
\(650\) 2.83439 0.111174
\(651\) 0.0272315 0.0838100i 0.00106729 0.00328477i
\(652\) −3.01240 + 2.18864i −0.117975 + 0.0857136i
\(653\) −27.5761 20.0352i −1.07914 0.784039i −0.101604 0.994825i \(-0.532398\pi\)
−0.977532 + 0.210786i \(0.932398\pi\)
\(654\) 0.261382 + 0.804452i 0.0102209 + 0.0314566i
\(655\) 3.53487 + 10.8792i 0.138119 + 0.425087i
\(656\) −1.80069 1.30828i −0.0703052 0.0510798i
\(657\) −17.1148 + 12.4346i −0.667712 + 0.485121i
\(658\) 0.969124 2.98266i 0.0377804 0.116276i
\(659\) 7.54952 0.294088 0.147044 0.989130i \(-0.453024\pi\)
0.147044 + 0.989130i \(0.453024\pi\)
\(660\) −0.115683 0.811783i −0.00450295 0.0315986i
\(661\) 41.0094 1.59508 0.797541 0.603265i \(-0.206134\pi\)
0.797541 + 0.603265i \(0.206134\pi\)
\(662\) −7.73156 + 23.7953i −0.300496 + 0.924830i
\(663\) −3.26861 + 2.37478i −0.126942 + 0.0922290i
\(664\) −2.49353 1.81165i −0.0967676 0.0703058i
\(665\) −1.13391 3.48982i −0.0439712 0.135329i
\(666\) −2.67683 8.23843i −0.103725 0.319233i
\(667\) 8.21447 + 5.96816i 0.318065 + 0.231088i
\(668\) −12.6065 + 9.15918i −0.487761 + 0.354379i
\(669\) −1.77284 + 5.45624i −0.0685420 + 0.210951i
\(670\) 13.5466 0.523352
\(671\) 4.30538 + 30.2122i 0.166207 + 1.16633i
\(672\) −0.247235 −0.00953728
\(673\) 14.9484 46.0065i 0.576220 1.77342i −0.0557690 0.998444i \(-0.517761\pi\)
0.631989 0.774978i \(-0.282239\pi\)
\(674\) −12.8931 + 9.36738i −0.496624 + 0.360818i
\(675\) −1.18788 0.863043i −0.0457214 0.0332185i
\(676\) −1.53465 4.72315i −0.0590248 0.181660i
\(677\) 1.66363 + 5.12013i 0.0639386 + 0.196783i 0.977923 0.208967i \(-0.0670103\pi\)
−0.913984 + 0.405750i \(0.867010\pi\)
\(678\) −3.36474 2.44463i −0.129222 0.0938854i
\(679\) −10.1352 + 7.36363i −0.388952 + 0.282590i
\(680\) 1.78163 5.48331i 0.0683225 0.210275i
\(681\) 6.32217 0.242266
\(682\) −0.822833 0.848793i −0.0315079 0.0325019i
\(683\) 12.5734 0.481106 0.240553 0.970636i \(-0.422671\pi\)
0.240553 + 0.970636i \(0.422671\pi\)
\(684\) −3.33242 + 10.2561i −0.127418 + 0.392153i
\(685\) −8.05248 + 5.85047i −0.307669 + 0.223535i
\(686\) −0.809017 0.587785i −0.0308884 0.0224417i
\(687\) −0.307509 0.946417i −0.0117322 0.0361080i
\(688\) 2.97898 + 9.16835i 0.113572 + 0.349540i
\(689\) −2.00448 1.45634i −0.0763646 0.0554822i
\(690\) 1.43499 1.04258i 0.0546290 0.0396903i
\(691\) −8.04764 + 24.7681i −0.306147 + 0.942223i 0.673100 + 0.739551i \(0.264962\pi\)
−0.979247 + 0.202671i \(0.935038\pi\)
\(692\) 5.89952 0.224266
\(693\) −8.75243 + 4.28973i −0.332477 + 0.162953i
\(694\) −12.4275 −0.471741
\(695\) 0.193823 0.596526i 0.00735212 0.0226275i
\(696\) 0.283079 0.205669i 0.0107301 0.00779587i
\(697\) 10.3819 + 7.54287i 0.393242 + 0.285707i
\(698\) −5.01005 15.4193i −0.189633 0.583631i
\(699\) 0.280938 + 0.864638i 0.0106260 + 0.0327036i
\(700\) −0.809017 0.587785i −0.0305780 0.0222162i
\(701\) 37.3401 27.1292i 1.41032 1.02465i 0.417040 0.908888i \(-0.363067\pi\)
0.993276 0.115767i \(-0.0369326\pi\)
\(702\) 1.28604 3.95804i 0.0485386 0.149386i
\(703\) 10.8157 0.407921
\(704\) −1.55142 + 2.93140i −0.0584714 + 0.110481i
\(705\) 0.775365 0.0292019
\(706\) −6.74645 + 20.7634i −0.253906 + 0.781442i
\(707\) 4.77420 3.46866i 0.179552 0.130452i
\(708\) −2.09941 1.52531i −0.0789008 0.0573248i
\(709\) 13.7553 + 42.3346i 0.516593 + 1.58991i 0.780365 + 0.625324i \(0.215033\pi\)
−0.263772 + 0.964585i \(0.584967\pi\)
\(710\) 3.86699 + 11.9014i 0.145126 + 0.446651i
\(711\) 14.6105 + 10.6152i 0.547938 + 0.398100i
\(712\) 4.65543 3.38237i 0.174470 0.126760i
\(713\) 0.790211 2.43202i 0.0295936 0.0910798i
\(714\) 1.42543 0.0533453
\(715\) 9.26093 + 1.61457i 0.346339 + 0.0603817i
\(716\) 16.3323 0.610367
\(717\) 0.0836145 0.257339i 0.00312264 0.00961050i
\(718\) 14.7326 10.7039i 0.549817 0.399466i
\(719\) −19.5788 14.2248i −0.730167 0.530497i 0.159449 0.987206i \(-0.449028\pi\)
−0.889616 + 0.456709i \(0.849028\pi\)
\(720\) 0.908162 + 2.79504i 0.0338452 + 0.104165i
\(721\) −3.69804 11.3814i −0.137722 0.423865i
\(722\) 4.47824 + 3.25363i 0.166663 + 0.121088i
\(723\) 1.24991 0.908114i 0.0464847 0.0337731i
\(724\) −1.07727 + 3.31548i −0.0400362 + 0.123219i
\(725\) 1.41528 0.0525620
\(726\) 0.0844466 2.71827i 0.00313411 0.100884i
\(727\) −5.25083 −0.194742 −0.0973712 0.995248i \(-0.531043\pi\)
−0.0973712 + 0.995248i \(0.531043\pi\)
\(728\) 0.875876 2.69567i 0.0324621 0.0999081i
\(729\) 19.2183 13.9629i 0.711787 0.517144i
\(730\) −5.82359 4.23109i −0.215541 0.156600i
\(731\) −17.1753 52.8600i −0.635250 1.95510i
\(732\) 0.702981 + 2.16355i 0.0259829 + 0.0799672i
\(733\) 38.5130 + 27.9814i 1.42251 + 1.03352i 0.991351 + 0.131240i \(0.0418958\pi\)
0.431161 + 0.902275i \(0.358104\pi\)
\(734\) 4.27045 3.10266i 0.157625 0.114521i
\(735\) 0.0763997 0.235134i 0.00281805 0.00867305i
\(736\) −7.17432 −0.264449
\(737\) 44.2614 + 7.71665i 1.63039 + 0.284247i
\(738\) −6.54129 −0.240788
\(739\) 8.40875 25.8795i 0.309321 0.951991i −0.668709 0.743524i \(-0.733153\pi\)
0.978029 0.208467i \(-0.0668473\pi\)
\(740\) 2.38460 1.73251i 0.0876595 0.0636884i
\(741\) 2.08029 + 1.51142i 0.0764213 + 0.0555233i
\(742\) 0.270126 + 0.831363i 0.00991664 + 0.0305203i
\(743\) −1.63727 5.03901i −0.0600658 0.184863i 0.916521 0.399986i \(-0.130985\pi\)
−0.976587 + 0.215122i \(0.930985\pi\)
\(744\) −0.0712930 0.0517974i −0.00261373 0.00189899i
\(745\) −12.1607 + 8.83528i −0.445534 + 0.323699i
\(746\) 5.74151 17.6705i 0.210212 0.646965i
\(747\) −9.05811 −0.331419
\(748\) 8.94470 16.9009i 0.327051 0.617960i
\(749\) −6.28895 −0.229793
\(750\) 0.0763997 0.235134i 0.00278972 0.00858588i
\(751\) 16.2309 11.7924i 0.592273 0.430311i −0.250855 0.968025i \(-0.580712\pi\)
0.843128 + 0.537713i \(0.180712\pi\)
\(752\) −2.53720 1.84338i −0.0925222 0.0672213i
\(753\) 1.47387 + 4.53610i 0.0537108 + 0.165305i
\(754\) 1.23961 + 3.81511i 0.0451438 + 0.138938i
\(755\) 0.417831 + 0.303572i 0.0152064 + 0.0110481i
\(756\) −1.18788 + 0.863043i −0.0432026 + 0.0313886i
\(757\) −1.34999 + 4.15484i −0.0490662 + 0.151010i −0.972588 0.232537i \(-0.925297\pi\)
0.923522 + 0.383547i \(0.125297\pi\)
\(758\) 22.8406 0.829607
\(759\) 5.28248 2.58904i 0.191742 0.0939761i
\(760\) −3.66941 −0.133104
\(761\) 0.668820 2.05842i 0.0242447 0.0746176i −0.938202 0.346088i \(-0.887510\pi\)
0.962447 + 0.271470i \(0.0875099\pi\)
\(762\) 0.0351549 0.0255416i 0.00127353 0.000925273i
\(763\) 2.76785 + 2.01096i 0.100203 + 0.0728016i
\(764\) 8.02526 + 24.6992i 0.290344 + 0.893586i
\(765\) −5.23600 16.1147i −0.189308 0.582630i
\(766\) 18.1814 + 13.2096i 0.656922 + 0.477282i
\(767\) 24.0685 17.4868i 0.869062 0.631411i
\(768\) −0.0763997 + 0.235134i −0.00275684 + 0.00848467i
\(769\) −32.7883 −1.18237 −0.591187 0.806534i \(-0.701341\pi\)
−0.591187 + 0.806534i \(0.701341\pi\)
\(770\) −2.30851 2.38134i −0.0831929 0.0858176i
\(771\) −6.24671 −0.224970
\(772\) −0.209360 + 0.644343i −0.00753502 + 0.0231904i
\(773\) 5.90457 4.28992i 0.212373 0.154298i −0.476514 0.879167i \(-0.658100\pi\)
0.688887 + 0.724869i \(0.258100\pi\)
\(774\)