Properties

Label 114.2.i.d.25.1
Level $114$
Weight $2$
Character 114.25
Analytic conductor $0.910$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 114 = 2 \cdot 3 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 114.i (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.910294583043\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{18})\)
Defining polynomial: \(x^{6} - x^{3} + 1\)
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 25.1
Root \(-0.766044 + 0.642788i\) of defining polynomial
Character \(\chi\) \(=\) 114.25
Dual form 114.2.i.d.73.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.766044 + 0.642788i) q^{2} +(0.939693 + 0.342020i) q^{3} +(0.173648 - 0.984808i) q^{4} +(0.386659 + 2.19285i) q^{5} +(-0.939693 + 0.342020i) q^{6} +(0.326352 - 0.565258i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.766044 + 0.642788i) q^{9} +O(q^{10})\) \(q+(-0.766044 + 0.642788i) q^{2} +(0.939693 + 0.342020i) q^{3} +(0.173648 - 0.984808i) q^{4} +(0.386659 + 2.19285i) q^{5} +(-0.939693 + 0.342020i) q^{6} +(0.326352 - 0.565258i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.766044 + 0.642788i) q^{9} +(-1.70574 - 1.43128i) q^{10} +(0.766044 + 1.32683i) q^{11} +(0.500000 - 0.866025i) q^{12} +(0.439693 - 0.160035i) q^{13} +(0.113341 + 0.642788i) q^{14} +(-0.386659 + 2.19285i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(-1.61334 + 1.35375i) q^{17} -1.00000 q^{18} +(-2.23396 - 3.74292i) q^{19} +2.22668 q^{20} +(0.500000 - 0.419550i) q^{21} +(-1.43969 - 0.524005i) q^{22} +(1.02481 - 5.81201i) q^{23} +(0.173648 + 0.984808i) q^{24} +(0.0393628 - 0.0143269i) q^{25} +(-0.233956 + 0.405223i) q^{26} +(0.500000 + 0.866025i) q^{27} +(-0.500000 - 0.419550i) q^{28} +(-6.38326 - 5.35619i) q^{29} +(-1.11334 - 1.92836i) q^{30} +(4.31908 - 7.48086i) q^{31} +(0.939693 - 0.342020i) q^{32} +(0.266044 + 1.50881i) q^{33} +(0.365715 - 2.07407i) q^{34} +(1.36571 + 0.497079i) q^{35} +(0.766044 - 0.642788i) q^{36} -4.67499 q^{37} +(4.11721 + 1.43128i) q^{38} +0.467911 q^{39} +(-1.70574 + 1.43128i) q^{40} +(-3.26604 - 1.18874i) q^{41} +(-0.113341 + 0.642788i) q^{42} +(1.78699 + 10.1345i) q^{43} +(1.43969 - 0.524005i) q^{44} +(-1.11334 + 1.92836i) q^{45} +(2.95084 + 5.11100i) q^{46} +(-3.55303 - 2.98135i) q^{47} +(-0.766044 - 0.642788i) q^{48} +(3.28699 + 5.69323i) q^{49} +(-0.0209445 + 0.0362770i) q^{50} +(-1.97906 + 0.720317i) q^{51} +(-0.0812519 - 0.460802i) q^{52} +(-2.07532 + 11.7697i) q^{53} +(-0.939693 - 0.342020i) q^{54} +(-2.61334 + 2.19285i) q^{55} +0.652704 q^{56} +(-0.819078 - 4.28125i) q^{57} +8.33275 q^{58} +(10.9042 - 9.14971i) q^{59} +(2.09240 + 0.761570i) q^{60} +(-1.58378 + 8.98205i) q^{61} +(1.50000 + 8.50692i) q^{62} +(0.613341 - 0.223238i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(0.520945 + 0.902302i) q^{65} +(-1.17365 - 0.984808i) q^{66} +(0.190722 + 0.160035i) q^{67} +(1.05303 + 1.82391i) q^{68} +(2.95084 - 5.11100i) q^{69} +(-1.36571 + 0.497079i) q^{70} +(-0.772441 - 4.38073i) q^{71} +(-0.173648 + 0.984808i) q^{72} +(8.54323 + 3.10948i) q^{73} +(3.58125 - 3.00503i) q^{74} +0.0418891 q^{75} +(-4.07398 + 1.55007i) q^{76} +1.00000 q^{77} +(-0.358441 + 0.300767i) q^{78} +(-11.3302 - 4.12386i) q^{79} +(0.386659 - 2.19285i) q^{80} +(0.173648 + 0.984808i) q^{81} +(3.26604 - 1.18874i) q^{82} +(-1.85457 + 3.21221i) q^{83} +(-0.326352 - 0.565258i) q^{84} +(-3.59240 - 3.01438i) q^{85} +(-7.88326 - 6.61484i) q^{86} +(-4.16637 - 7.21637i) q^{87} +(-0.766044 + 1.32683i) q^{88} +(-15.7554 + 5.73448i) q^{89} +(-0.386659 - 2.19285i) q^{90} +(0.0530334 - 0.300767i) q^{91} +(-5.54576 - 2.01849i) q^{92} +(6.61721 - 5.55250i) q^{93} +4.63816 q^{94} +(7.34389 - 6.34597i) q^{95} +1.00000 q^{96} +(1.89053 - 1.58634i) q^{97} +(-6.17752 - 2.24843i) q^{98} +(-0.266044 + 1.50881i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q + 9q^{5} + 3q^{7} + 3q^{8} + O(q^{10}) \) \( 6q + 9q^{5} + 3q^{7} + 3q^{8} + 3q^{12} - 3q^{13} - 6q^{14} - 9q^{15} - 3q^{17} - 6q^{18} - 18q^{19} + 3q^{21} - 3q^{22} - 21q^{23} + 9q^{25} - 6q^{26} + 3q^{27} - 3q^{28} - 3q^{29} + 9q^{31} - 3q^{33} + 12q^{34} + 18q^{35} - 18q^{37} - 6q^{38} + 12q^{39} - 15q^{41} + 6q^{42} + 3q^{43} + 3q^{44} + 6q^{46} - 9q^{47} + 12q^{49} + 3q^{50} - 15q^{51} - 3q^{52} + 12q^{53} - 9q^{55} + 6q^{56} + 12q^{57} + 12q^{58} + 27q^{59} + 9q^{60} + 3q^{61} + 9q^{62} - 3q^{63} - 3q^{64} - 6q^{66} + 21q^{67} - 6q^{68} + 6q^{69} - 18q^{70} + 39q^{71} + 36q^{73} + 24q^{74} - 6q^{75} - 9q^{76} + 6q^{77} + 6q^{78} - 45q^{79} + 9q^{80} + 15q^{82} - 27q^{83} - 3q^{84} - 18q^{85} - 12q^{86} - 6q^{87} - 30q^{89} - 9q^{90} - 12q^{91} - 3q^{92} + 9q^{93} - 6q^{94} + 6q^{96} - 6q^{97} - 12q^{98} + 3q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.766044 + 0.642788i −0.541675 + 0.454519i
\(3\) 0.939693 + 0.342020i 0.542532 + 0.197465i
\(4\) 0.173648 0.984808i 0.0868241 0.492404i
\(5\) 0.386659 + 2.19285i 0.172919 + 0.980674i 0.940518 + 0.339743i \(0.110340\pi\)
−0.767599 + 0.640930i \(0.778549\pi\)
\(6\) −0.939693 + 0.342020i −0.383628 + 0.139629i
\(7\) 0.326352 0.565258i 0.123349 0.213647i −0.797737 0.603005i \(-0.793970\pi\)
0.921087 + 0.389358i \(0.127303\pi\)
\(8\) 0.500000 + 0.866025i 0.176777 + 0.306186i
\(9\) 0.766044 + 0.642788i 0.255348 + 0.214263i
\(10\) −1.70574 1.43128i −0.539401 0.452612i
\(11\) 0.766044 + 1.32683i 0.230971 + 0.400054i 0.958094 0.286453i \(-0.0924764\pi\)
−0.727123 + 0.686507i \(0.759143\pi\)
\(12\) 0.500000 0.866025i 0.144338 0.250000i
\(13\) 0.439693 0.160035i 0.121949 0.0443857i −0.280325 0.959905i \(-0.590442\pi\)
0.402274 + 0.915519i \(0.368220\pi\)
\(14\) 0.113341 + 0.642788i 0.0302916 + 0.171792i
\(15\) −0.386659 + 2.19285i −0.0998350 + 0.566192i
\(16\) −0.939693 0.342020i −0.234923 0.0855050i
\(17\) −1.61334 + 1.35375i −0.391293 + 0.328333i −0.817116 0.576473i \(-0.804429\pi\)
0.425824 + 0.904806i \(0.359984\pi\)
\(18\) −1.00000 −0.235702
\(19\) −2.23396 3.74292i −0.512505 0.858685i
\(20\) 2.22668 0.497901
\(21\) 0.500000 0.419550i 0.109109 0.0915533i
\(22\) −1.43969 0.524005i −0.306943 0.111718i
\(23\) 1.02481 5.81201i 0.213689 1.21189i −0.669479 0.742831i \(-0.733483\pi\)
0.883168 0.469058i \(-0.155406\pi\)
\(24\) 0.173648 + 0.984808i 0.0354458 + 0.201023i
\(25\) 0.0393628 0.0143269i 0.00787257 0.00286538i
\(26\) −0.233956 + 0.405223i −0.0458825 + 0.0794708i
\(27\) 0.500000 + 0.866025i 0.0962250 + 0.166667i
\(28\) −0.500000 0.419550i −0.0944911 0.0792875i
\(29\) −6.38326 5.35619i −1.18534 0.994619i −0.999928 0.0119582i \(-0.996193\pi\)
−0.185412 0.982661i \(-0.559362\pi\)
\(30\) −1.11334 1.92836i −0.203267 0.352069i
\(31\) 4.31908 7.48086i 0.775729 1.34360i −0.158654 0.987334i \(-0.550716\pi\)
0.934384 0.356268i \(-0.115951\pi\)
\(32\) 0.939693 0.342020i 0.166116 0.0604612i
\(33\) 0.266044 + 1.50881i 0.0463124 + 0.262651i
\(34\) 0.365715 2.07407i 0.0627195 0.355700i
\(35\) 1.36571 + 0.497079i 0.230848 + 0.0840218i
\(36\) 0.766044 0.642788i 0.127674 0.107131i
\(37\) −4.67499 −0.768564 −0.384282 0.923216i \(-0.625551\pi\)
−0.384282 + 0.923216i \(0.625551\pi\)
\(38\) 4.11721 + 1.43128i 0.667900 + 0.232185i
\(39\) 0.467911 0.0749257
\(40\) −1.70574 + 1.43128i −0.269701 + 0.226306i
\(41\) −3.26604 1.18874i −0.510070 0.185650i 0.0741475 0.997247i \(-0.476376\pi\)
−0.584218 + 0.811597i \(0.698599\pi\)
\(42\) −0.113341 + 0.642788i −0.0174889 + 0.0991843i
\(43\) 1.78699 + 10.1345i 0.272513 + 1.54550i 0.746752 + 0.665103i \(0.231612\pi\)
−0.474238 + 0.880396i \(0.657277\pi\)
\(44\) 1.43969 0.524005i 0.217042 0.0789968i
\(45\) −1.11334 + 1.92836i −0.165967 + 0.287463i
\(46\) 2.95084 + 5.11100i 0.435077 + 0.753576i
\(47\) −3.55303 2.98135i −0.518263 0.434874i 0.345763 0.938322i \(-0.387620\pi\)
−0.864026 + 0.503448i \(0.832065\pi\)
\(48\) −0.766044 0.642788i −0.110569 0.0927784i
\(49\) 3.28699 + 5.69323i 0.469570 + 0.813319i
\(50\) −0.0209445 + 0.0362770i −0.00296200 + 0.00513034i
\(51\) −1.97906 + 0.720317i −0.277123 + 0.100865i
\(52\) −0.0812519 0.460802i −0.0112676 0.0639018i
\(53\) −2.07532 + 11.7697i −0.285067 + 1.61670i 0.419977 + 0.907535i \(0.362038\pi\)
−0.705045 + 0.709163i \(0.749073\pi\)
\(54\) −0.939693 0.342020i −0.127876 0.0465430i
\(55\) −2.61334 + 2.19285i −0.352383 + 0.295684i
\(56\) 0.652704 0.0872212
\(57\) −0.819078 4.28125i −0.108490 0.567066i
\(58\) 8.33275 1.09414
\(59\) 10.9042 9.14971i 1.41961 1.19119i 0.468055 0.883699i \(-0.344955\pi\)
0.951551 0.307492i \(-0.0994896\pi\)
\(60\) 2.09240 + 0.761570i 0.270127 + 0.0983183i
\(61\) −1.58378 + 8.98205i −0.202782 + 1.15003i 0.698110 + 0.715991i \(0.254025\pi\)
−0.900892 + 0.434043i \(0.857086\pi\)
\(62\) 1.50000 + 8.50692i 0.190500 + 1.08038i
\(63\) 0.613341 0.223238i 0.0772737 0.0281253i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 0.520945 + 0.902302i 0.0646152 + 0.111917i
\(66\) −1.17365 0.984808i −0.144466 0.121221i
\(67\) 0.190722 + 0.160035i 0.0233004 + 0.0195514i 0.654363 0.756180i \(-0.272937\pi\)
−0.631063 + 0.775732i \(0.717381\pi\)
\(68\) 1.05303 + 1.82391i 0.127699 + 0.221181i
\(69\) 2.95084 5.11100i 0.355239 0.615292i
\(70\) −1.36571 + 0.497079i −0.163234 + 0.0594124i
\(71\) −0.772441 4.38073i −0.0916719 0.519897i −0.995716 0.0924590i \(-0.970527\pi\)
0.904045 0.427438i \(-0.140584\pi\)
\(72\) −0.173648 + 0.984808i −0.0204646 + 0.116061i
\(73\) 8.54323 + 3.10948i 0.999910 + 0.363937i 0.789550 0.613687i \(-0.210314\pi\)
0.210360 + 0.977624i \(0.432536\pi\)
\(74\) 3.58125 3.00503i 0.416312 0.349327i
\(75\) 0.0418891 0.00483693
\(76\) −4.07398 + 1.55007i −0.467317 + 0.177805i
\(77\) 1.00000 0.113961
\(78\) −0.358441 + 0.300767i −0.0405854 + 0.0340552i
\(79\) −11.3302 4.12386i −1.27475 0.463971i −0.386057 0.922475i \(-0.626163\pi\)
−0.888692 + 0.458504i \(0.848385\pi\)
\(80\) 0.386659 2.19285i 0.0432298 0.245168i
\(81\) 0.173648 + 0.984808i 0.0192942 + 0.109423i
\(82\) 3.26604 1.18874i 0.360674 0.131275i
\(83\) −1.85457 + 3.21221i −0.203566 + 0.352586i −0.949675 0.313238i \(-0.898586\pi\)
0.746109 + 0.665824i \(0.231920\pi\)
\(84\) −0.326352 0.565258i −0.0356079 0.0616747i
\(85\) −3.59240 3.01438i −0.389650 0.326955i
\(86\) −7.88326 6.61484i −0.850073 0.713296i
\(87\) −4.16637 7.21637i −0.446682 0.773676i
\(88\) −0.766044 + 1.32683i −0.0816606 + 0.141440i
\(89\) −15.7554 + 5.73448i −1.67007 + 0.607854i −0.991896 0.127051i \(-0.959449\pi\)
−0.678169 + 0.734906i \(0.737226\pi\)
\(90\) −0.386659 2.19285i −0.0407575 0.231147i
\(91\) 0.0530334 0.300767i 0.00555941 0.0315290i
\(92\) −5.54576 2.01849i −0.578185 0.210442i
\(93\) 6.61721 5.55250i 0.686173 0.575767i
\(94\) 4.63816 0.478389
\(95\) 7.34389 6.34597i 0.753468 0.651083i
\(96\) 1.00000 0.102062
\(97\) 1.89053 1.58634i 0.191954 0.161069i −0.541746 0.840543i \(-0.682236\pi\)
0.733700 + 0.679474i \(0.237792\pi\)
\(98\) −6.17752 2.24843i −0.624024 0.227126i
\(99\) −0.266044 + 1.50881i −0.0267385 + 0.151641i
\(100\) −0.00727396 0.0412527i −0.000727396 0.00412527i
\(101\) 5.39306 1.96291i 0.536629 0.195317i −0.0594668 0.998230i \(-0.518940\pi\)
0.596096 + 0.802913i \(0.296718\pi\)
\(102\) 1.05303 1.82391i 0.104266 0.180594i
\(103\) 6.90420 + 11.9584i 0.680291 + 1.17830i 0.974892 + 0.222678i \(0.0714800\pi\)
−0.294601 + 0.955620i \(0.595187\pi\)
\(104\) 0.358441 + 0.300767i 0.0351480 + 0.0294927i
\(105\) 1.11334 + 0.934204i 0.108651 + 0.0911690i
\(106\) −5.97565 10.3501i −0.580407 1.00529i
\(107\) −0.956767 + 1.65717i −0.0924941 + 0.160205i −0.908560 0.417754i \(-0.862817\pi\)
0.816066 + 0.577959i \(0.196151\pi\)
\(108\) 0.939693 0.342020i 0.0904220 0.0329109i
\(109\) −2.05169 11.6357i −0.196516 1.11450i −0.910243 0.414074i \(-0.864105\pi\)
0.713727 0.700424i \(-0.247006\pi\)
\(110\) 0.592396 3.35965i 0.0564828 0.320330i
\(111\) −4.39306 1.59894i −0.416970 0.151765i
\(112\) −0.500000 + 0.419550i −0.0472456 + 0.0396437i
\(113\) 5.39693 0.507700 0.253850 0.967244i \(-0.418303\pi\)
0.253850 + 0.967244i \(0.418303\pi\)
\(114\) 3.37939 + 2.75314i 0.316508 + 0.257855i
\(115\) 13.1411 1.22542
\(116\) −6.38326 + 5.35619i −0.592670 + 0.497310i
\(117\) 0.439693 + 0.160035i 0.0406496 + 0.0147952i
\(118\) −2.47178 + 14.0182i −0.227546 + 1.29048i
\(119\) 0.238703 + 1.35375i 0.0218819 + 0.124098i
\(120\) −2.09240 + 0.761570i −0.191009 + 0.0695215i
\(121\) 4.32635 7.49346i 0.393305 0.681224i
\(122\) −4.56031 7.89868i −0.412871 0.715113i
\(123\) −2.66250 2.23411i −0.240070 0.201443i
\(124\) −6.61721 5.55250i −0.594243 0.498629i
\(125\) 5.61334 + 9.72259i 0.502072 + 0.869615i
\(126\) −0.326352 + 0.565258i −0.0290737 + 0.0503572i
\(127\) −9.09152 + 3.30904i −0.806742 + 0.293630i −0.712277 0.701898i \(-0.752336\pi\)
−0.0944646 + 0.995528i \(0.530114\pi\)
\(128\) −0.173648 0.984808i −0.0153485 0.0870455i
\(129\) −1.78699 + 10.1345i −0.157336 + 0.892295i
\(130\) −0.979055 0.356347i −0.0858688 0.0312537i
\(131\) −1.45677 + 1.22237i −0.127278 + 0.106799i −0.704205 0.709997i \(-0.748696\pi\)
0.576927 + 0.816796i \(0.304252\pi\)
\(132\) 1.53209 0.133351
\(133\) −2.84477 + 0.0412527i −0.246673 + 0.00357706i
\(134\) −0.248970 −0.0215078
\(135\) −1.70574 + 1.43128i −0.146806 + 0.123185i
\(136\) −1.97906 0.720317i −0.169703 0.0617667i
\(137\) −0.308811 + 1.75135i −0.0263835 + 0.149628i −0.995154 0.0983323i \(-0.968649\pi\)
0.968770 + 0.247960i \(0.0797603\pi\)
\(138\) 1.02481 + 5.81201i 0.0872380 + 0.494752i
\(139\) 0.705737 0.256867i 0.0598598 0.0217872i −0.311917 0.950109i \(-0.600971\pi\)
0.371777 + 0.928322i \(0.378749\pi\)
\(140\) 0.726682 1.25865i 0.0614158 0.106375i
\(141\) −2.31908 4.01676i −0.195302 0.338272i
\(142\) 3.40760 + 2.85932i 0.285960 + 0.239949i
\(143\) 0.549163 + 0.460802i 0.0459233 + 0.0385342i
\(144\) −0.500000 0.866025i −0.0416667 0.0721688i
\(145\) 9.27719 16.0686i 0.770429 1.33442i
\(146\) −8.54323 + 3.10948i −0.707043 + 0.257343i
\(147\) 1.14156 + 6.47410i 0.0941542 + 0.533975i
\(148\) −0.811804 + 4.60397i −0.0667299 + 0.378444i
\(149\) 5.61721 + 2.04450i 0.460180 + 0.167492i 0.561699 0.827342i \(-0.310148\pi\)
−0.101519 + 0.994834i \(0.532370\pi\)
\(150\) −0.0320889 + 0.0269258i −0.00262005 + 0.00219848i
\(151\) −16.5749 −1.34885 −0.674424 0.738345i \(-0.735608\pi\)
−0.674424 + 0.738345i \(0.735608\pi\)
\(152\) 2.12449 3.80612i 0.172319 0.308717i
\(153\) −2.10607 −0.170265
\(154\) −0.766044 + 0.642788i −0.0617296 + 0.0517973i
\(155\) 18.0744 + 6.57856i 1.45177 + 0.528403i
\(156\) 0.0812519 0.460802i 0.00650536 0.0368937i
\(157\) −2.90033 16.4486i −0.231472 1.31274i −0.849919 0.526914i \(-0.823349\pi\)
0.618447 0.785826i \(-0.287762\pi\)
\(158\) 11.3302 4.12386i 0.901384 0.328077i
\(159\) −5.97565 + 10.3501i −0.473900 + 0.820819i
\(160\) 1.11334 + 1.92836i 0.0880173 + 0.152450i
\(161\) −2.95084 2.47605i −0.232559 0.195140i
\(162\) −0.766044 0.642788i −0.0601861 0.0505022i
\(163\) 7.92855 + 13.7326i 0.621012 + 1.07562i 0.989298 + 0.145911i \(0.0466115\pi\)
−0.368286 + 0.929713i \(0.620055\pi\)
\(164\) −1.73783 + 3.01000i −0.135701 + 0.235042i
\(165\) −3.20574 + 1.16679i −0.249566 + 0.0908347i
\(166\) −0.644086 3.65279i −0.0499907 0.283512i
\(167\) −0.393056 + 2.22913i −0.0304156 + 0.172495i −0.996232 0.0867333i \(-0.972357\pi\)
0.965816 + 0.259229i \(0.0834683\pi\)
\(168\) 0.613341 + 0.223238i 0.0473203 + 0.0172232i
\(169\) −9.79086 + 8.21551i −0.753143 + 0.631962i
\(170\) 4.68954 0.359671
\(171\) 0.694593 4.30320i 0.0531168 0.329074i
\(172\) 10.2909 0.784671
\(173\) 7.16637 6.01330i 0.544849 0.457183i −0.328343 0.944559i \(-0.606490\pi\)
0.873192 + 0.487376i \(0.162046\pi\)
\(174\) 7.83022 + 2.84997i 0.593608 + 0.216056i
\(175\) 0.00474774 0.0269258i 0.000358895 0.00203540i
\(176\) −0.266044 1.50881i −0.0200539 0.113731i
\(177\) 13.3760 4.86846i 1.00540 0.365936i
\(178\) 8.38326 14.5202i 0.628352 1.08834i
\(179\) 7.88919 + 13.6645i 0.589665 + 1.02133i 0.994276 + 0.106841i \(0.0340737\pi\)
−0.404611 + 0.914489i \(0.632593\pi\)
\(180\) 1.70574 + 1.43128i 0.127138 + 0.106682i
\(181\) 5.36437 + 4.50124i 0.398731 + 0.334575i 0.820003 0.572360i \(-0.193972\pi\)
−0.421272 + 0.906934i \(0.638416\pi\)
\(182\) 0.152704 + 0.264490i 0.0113191 + 0.0196053i
\(183\) −4.56031 + 7.89868i −0.337108 + 0.583888i
\(184\) 5.54576 2.01849i 0.408839 0.148805i
\(185\) −1.80763 10.2516i −0.132900 0.753711i
\(186\) −1.50000 + 8.50692i −0.109985 + 0.623758i
\(187\) −3.03209 1.10359i −0.221728 0.0807025i
\(188\) −3.55303 + 2.98135i −0.259132 + 0.217437i
\(189\) 0.652704 0.0474772
\(190\) −1.54664 + 9.58186i −0.112205 + 0.695141i
\(191\) 4.39187 0.317785 0.158892 0.987296i \(-0.449208\pi\)
0.158892 + 0.987296i \(0.449208\pi\)
\(192\) −0.766044 + 0.642788i −0.0552845 + 0.0463892i
\(193\) −4.56418 1.66122i −0.328537 0.119578i 0.172485 0.985012i \(-0.444820\pi\)
−0.501022 + 0.865434i \(0.667042\pi\)
\(194\) −0.428548 + 2.43042i −0.0307680 + 0.174494i
\(195\) 0.180922 + 1.02606i 0.0129561 + 0.0734777i
\(196\) 6.17752 2.24843i 0.441251 0.160602i
\(197\) −10.1420 + 17.5665i −0.722589 + 1.25156i 0.237369 + 0.971420i \(0.423715\pi\)
−0.959959 + 0.280142i \(0.909618\pi\)
\(198\) −0.766044 1.32683i −0.0544404 0.0942936i
\(199\) −17.2062 14.4377i −1.21972 1.02346i −0.998840 0.0481609i \(-0.984664\pi\)
−0.220876 0.975302i \(-0.570892\pi\)
\(200\) 0.0320889 + 0.0269258i 0.00226903 + 0.00190394i
\(201\) 0.124485 + 0.215615i 0.00878051 + 0.0152083i
\(202\) −2.86959 + 4.97027i −0.201903 + 0.349707i
\(203\) −5.11081 + 1.86018i −0.358709 + 0.130559i
\(204\) 0.365715 + 2.07407i 0.0256051 + 0.145214i
\(205\) 1.34389 7.62159i 0.0938615 0.532315i
\(206\) −12.9757 4.72275i −0.904057 0.329050i
\(207\) 4.52094 3.79352i 0.314227 0.263668i
\(208\) −0.467911 −0.0324438
\(209\) 3.25490 5.83132i 0.225146 0.403361i
\(210\) −1.45336 −0.100292
\(211\) −7.62836 + 6.40095i −0.525158 + 0.440660i −0.866425 0.499307i \(-0.833588\pi\)
0.341268 + 0.939966i \(0.389144\pi\)
\(212\) 11.2306 + 4.08759i 0.771317 + 0.280737i
\(213\) 0.772441 4.38073i 0.0529268 0.300163i
\(214\) −0.332282 1.88446i −0.0227143 0.128819i
\(215\) −21.5326 + 7.83721i −1.46851 + 0.534493i
\(216\) −0.500000 + 0.866025i −0.0340207 + 0.0589256i
\(217\) −2.81908 4.88279i −0.191371 0.331465i
\(218\) 9.05097 + 7.59467i 0.613009 + 0.514376i
\(219\) 6.96451 + 5.84392i 0.470618 + 0.394895i
\(220\) 1.70574 + 2.95442i 0.115001 + 0.199187i
\(221\) −0.492726 + 0.853427i −0.0331443 + 0.0574077i
\(222\) 4.39306 1.59894i 0.294843 0.107314i
\(223\) 0.333626 + 1.89209i 0.0223412 + 0.126703i 0.993939 0.109937i \(-0.0350648\pi\)
−0.971597 + 0.236640i \(0.923954\pi\)
\(224\) 0.113341 0.642788i 0.00757290 0.0429481i
\(225\) 0.0393628 + 0.0143269i 0.00262419 + 0.000955127i
\(226\) −4.13429 + 3.46908i −0.275009 + 0.230760i
\(227\) 0.901674 0.0598462 0.0299231 0.999552i \(-0.490474\pi\)
0.0299231 + 0.999552i \(0.490474\pi\)
\(228\) −4.35844 + 0.0632028i −0.288645 + 0.00418571i
\(229\) −0.354103 −0.0233998 −0.0116999 0.999932i \(-0.503724\pi\)
−0.0116999 + 0.999932i \(0.503724\pi\)
\(230\) −10.0667 + 8.44697i −0.663779 + 0.556977i
\(231\) 0.939693 + 0.342020i 0.0618272 + 0.0225033i
\(232\) 1.44697 8.20616i 0.0949980 0.538760i
\(233\) −2.90033 16.4486i −0.190007 1.07758i −0.919352 0.393437i \(-0.871286\pi\)
0.729345 0.684146i \(-0.239825\pi\)
\(234\) −0.439693 + 0.160035i −0.0287436 + 0.0104618i
\(235\) 5.16385 8.94405i 0.336852 0.583445i
\(236\) −7.11721 12.3274i −0.463291 0.802444i
\(237\) −9.23648 7.75033i −0.599974 0.503438i
\(238\) −1.05303 0.883600i −0.0682580 0.0572753i
\(239\) −5.02734 8.70761i −0.325192 0.563248i 0.656359 0.754448i \(-0.272095\pi\)
−0.981551 + 0.191200i \(0.938762\pi\)
\(240\) 1.11334 1.92836i 0.0718658 0.124475i
\(241\) 21.7062 7.90041i 1.39822 0.508910i 0.470570 0.882363i \(-0.344048\pi\)
0.927649 + 0.373452i \(0.121826\pi\)
\(242\) 1.50253 + 8.52125i 0.0965860 + 0.547767i
\(243\) −0.173648 + 0.984808i −0.0111395 + 0.0631754i
\(244\) 8.57057 + 3.11943i 0.548675 + 0.199701i
\(245\) −11.2135 + 9.40923i −0.716403 + 0.601133i
\(246\) 3.47565 0.221599
\(247\) −1.58125 1.28822i −0.100613 0.0819676i
\(248\) 8.63816 0.548523
\(249\) −2.84137 + 2.38419i −0.180064 + 0.151092i
\(250\) −10.5496 3.83975i −0.667217 0.242847i
\(251\) 2.11200 11.9777i 0.133308 0.756027i −0.842715 0.538360i \(-0.819044\pi\)
0.976023 0.217667i \(-0.0698448\pi\)
\(252\) −0.113341 0.642788i −0.00713980 0.0404918i
\(253\) 8.49660 3.09251i 0.534176 0.194424i
\(254\) 4.83750 8.37879i 0.303532 0.525732i
\(255\) −2.34477 4.06126i −0.146835 0.254326i
\(256\) 0.766044 + 0.642788i 0.0478778 + 0.0401742i
\(257\) −3.02300 2.53660i −0.188570 0.158229i 0.543615 0.839334i \(-0.317055\pi\)
−0.732185 + 0.681106i \(0.761499\pi\)
\(258\) −5.14543 8.91215i −0.320340 0.554846i
\(259\) −1.52569 + 2.64258i −0.0948019 + 0.164202i
\(260\) 0.979055 0.356347i 0.0607184 0.0220997i
\(261\) −1.44697 8.20616i −0.0895650 0.507948i
\(262\) 0.330222 1.87278i 0.0204012 0.115701i
\(263\) −8.52229 3.10186i −0.525507 0.191269i 0.0656242 0.997844i \(-0.479096\pi\)
−0.591131 + 0.806576i \(0.701318\pi\)
\(264\) −1.17365 + 0.984808i −0.0722331 + 0.0606107i
\(265\) −26.6117 −1.63475
\(266\) 2.15270 1.86018i 0.131991 0.114055i
\(267\) −16.7665 −1.02609
\(268\) 0.190722 0.160035i 0.0116502 0.00977570i
\(269\) 26.3234 + 9.58094i 1.60497 + 0.584160i 0.980436 0.196840i \(-0.0630678\pi\)
0.624531 + 0.781000i \(0.285290\pi\)
\(270\) 0.386659 2.19285i 0.0235313 0.133453i
\(271\) −2.92350 16.5800i −0.177590 1.00716i −0.935112 0.354352i \(-0.884701\pi\)
0.757522 0.652809i \(-0.226410\pi\)
\(272\) 1.97906 0.720317i 0.119998 0.0436757i
\(273\) 0.152704 0.264490i 0.00924205 0.0160077i
\(274\) −0.889185 1.54011i −0.0537177 0.0930417i
\(275\) 0.0491630 + 0.0412527i 0.00296464 + 0.00248763i
\(276\) −4.52094 3.79352i −0.272129 0.228343i
\(277\) 9.57532 + 16.5849i 0.575325 + 0.996493i 0.996006 + 0.0892840i \(0.0284579\pi\)
−0.420681 + 0.907209i \(0.638209\pi\)
\(278\) −0.375515 + 0.650411i −0.0225219 + 0.0390090i
\(279\) 8.11721 2.95442i 0.485965 0.176877i
\(280\) 0.252374 + 1.43128i 0.0150822 + 0.0855355i
\(281\) −0.687319 + 3.89798i −0.0410020 + 0.232534i −0.998421 0.0561668i \(-0.982112\pi\)
0.957419 + 0.288701i \(0.0932232\pi\)
\(282\) 4.35844 + 1.58634i 0.259541 + 0.0944653i
\(283\) −5.03802 + 4.22740i −0.299479 + 0.251293i −0.780127 0.625621i \(-0.784846\pi\)
0.480648 + 0.876913i \(0.340401\pi\)
\(284\) −4.44831 −0.263959
\(285\) 9.07145 3.45150i 0.537346 0.204449i
\(286\) −0.716881 −0.0423901
\(287\) −1.73783 + 1.45821i −0.102581 + 0.0860754i
\(288\) 0.939693 + 0.342020i 0.0553719 + 0.0201537i
\(289\) −2.18180 + 12.3736i −0.128341 + 0.727859i
\(290\) 3.22193 + 18.2725i 0.189198 + 1.07300i
\(291\) 2.31908 0.844075i 0.135947 0.0494806i
\(292\) 4.54576 7.87349i 0.266020 0.460761i
\(293\) −10.8478 18.7889i −0.633733 1.09766i −0.986782 0.162053i \(-0.948188\pi\)
0.353049 0.935605i \(-0.385145\pi\)
\(294\) −5.03596 4.22567i −0.293703 0.246446i
\(295\) 24.2802 + 20.3735i 1.41365 + 1.18619i
\(296\) −2.33750 4.04866i −0.135864 0.235324i
\(297\) −0.766044 + 1.32683i −0.0444504 + 0.0769904i
\(298\) −5.61721 + 2.04450i −0.325396 + 0.118435i
\(299\) −0.479522 2.71951i −0.0277315 0.157273i
\(300\) 0.00727396 0.0412527i 0.000419962 0.00238172i
\(301\) 6.31180 + 2.29731i 0.363806 + 0.132415i
\(302\) 12.6971 10.6541i 0.730637 0.613077i
\(303\) 5.73917 0.329707
\(304\) 0.819078 + 4.28125i 0.0469773 + 0.245547i
\(305\) −20.3087 −1.16287
\(306\) 1.61334 1.35375i 0.0922286 0.0773889i
\(307\) −16.7271 6.08818i −0.954669 0.347471i −0.182727 0.983164i \(-0.558492\pi\)
−0.771942 + 0.635693i \(0.780715\pi\)
\(308\) 0.173648 0.984808i 0.00989452 0.0561146i
\(309\) 2.39780 + 13.5986i 0.136406 + 0.773598i
\(310\) −18.0744 + 6.57856i −1.02656 + 0.373637i
\(311\) 0.812681 1.40761i 0.0460829 0.0798180i −0.842064 0.539378i \(-0.818659\pi\)
0.888147 + 0.459560i \(0.151993\pi\)
\(312\) 0.233956 + 0.405223i 0.0132451 + 0.0229412i
\(313\) 23.0371 + 19.3305i 1.30214 + 1.09262i 0.989772 + 0.142660i \(0.0455654\pi\)
0.312364 + 0.949962i \(0.398879\pi\)
\(314\) 12.7947 + 10.7361i 0.722048 + 0.605871i
\(315\) 0.726682 + 1.25865i 0.0409439 + 0.0709169i
\(316\) −6.02869 + 10.4420i −0.339140 + 0.587408i
\(317\) 10.6493 3.87603i 0.598124 0.217699i −0.0251747 0.999683i \(-0.508014\pi\)
0.623299 + 0.781984i \(0.285792\pi\)
\(318\) −2.07532 11.7697i −0.116378 0.660014i
\(319\) 2.21688 12.5726i 0.124122 0.703928i
\(320\) −2.09240 0.761570i −0.116969 0.0425731i
\(321\) −1.46585 + 1.23000i −0.0818159 + 0.0686517i
\(322\) 3.85204 0.214666
\(323\) 8.67112 + 3.01438i 0.482474 + 0.167724i
\(324\) 1.00000 0.0555556
\(325\) 0.0150147 0.0125989i 0.000832868 0.000698859i
\(326\) −14.9008 5.42345i −0.825279 0.300377i
\(327\) 2.05169 11.6357i 0.113459 0.643456i
\(328\) −0.603541 3.42285i −0.0333250 0.188995i
\(329\) −2.84477 + 1.03541i −0.156837 + 0.0570841i
\(330\) 1.70574 2.95442i 0.0938977 0.162636i
\(331\) 16.0621 + 27.8204i 0.882854 + 1.52915i 0.848154 + 0.529750i \(0.177714\pi\)
0.0347000 + 0.999398i \(0.488952\pi\)
\(332\) 2.84137 + 2.38419i 0.155940 + 0.130849i
\(333\) −3.58125 3.00503i −0.196251 0.164674i
\(334\) −1.13176 1.96026i −0.0619271 0.107261i
\(335\) −0.277189 + 0.480105i −0.0151444 + 0.0262309i
\(336\) −0.613341 + 0.223238i −0.0334605 + 0.0121786i
\(337\) 5.26739 + 29.8728i 0.286933 + 1.62728i 0.698298 + 0.715807i \(0.253941\pi\)
−0.411365 + 0.911471i \(0.634948\pi\)
\(338\) 2.21941 12.5869i 0.120720 0.684636i
\(339\) 5.07145 + 1.84586i 0.275443 + 0.100253i
\(340\) −3.59240 + 3.01438i −0.194825 + 0.163478i
\(341\) 13.2344 0.716684
\(342\) 2.23396 + 3.74292i 0.120798 + 0.202394i
\(343\) 8.85978 0.478383
\(344\) −7.88326 + 6.61484i −0.425037 + 0.356648i
\(345\) 12.3486 + 4.49454i 0.664828 + 0.241978i
\(346\) −1.62449 + 9.21291i −0.0873329 + 0.495289i
\(347\) 0.747626 + 4.24000i 0.0401347 + 0.227615i 0.998277 0.0586772i \(-0.0186883\pi\)
−0.958142 + 0.286292i \(0.907577\pi\)
\(348\) −7.83022 + 2.84997i −0.419744 + 0.152774i
\(349\) 1.33022 2.30401i 0.0712052 0.123331i −0.828225 0.560396i \(-0.810649\pi\)
0.899430 + 0.437065i \(0.143982\pi\)
\(350\) 0.0136706 + 0.0236781i 0.000730723 + 0.00126565i
\(351\) 0.358441 + 0.300767i 0.0191321 + 0.0160538i
\(352\) 1.17365 + 0.984808i 0.0625557 + 0.0524904i
\(353\) −18.0963 31.3437i −0.963167 1.66825i −0.714461 0.699675i \(-0.753328\pi\)
−0.248706 0.968579i \(-0.580005\pi\)
\(354\) −7.11721 + 12.3274i −0.378276 + 0.655192i
\(355\) 9.30763 3.38770i 0.493998 0.179800i
\(356\) 2.91147 + 16.5118i 0.154308 + 0.875123i
\(357\) −0.238703 + 1.35375i −0.0126335 + 0.0716482i
\(358\) −14.8268 5.39652i −0.783622 0.285215i
\(359\) 1.43376 1.20307i 0.0756711 0.0634956i −0.604168 0.796857i \(-0.706494\pi\)
0.679839 + 0.733362i \(0.262050\pi\)
\(360\) −2.22668 −0.117356
\(361\) −9.01889 + 16.7230i −0.474678 + 0.880159i
\(362\) −7.00269 −0.368053
\(363\) 6.62836 5.56185i 0.347898 0.291921i
\(364\) −0.286989 0.104455i −0.0150423 0.00547495i
\(365\) −3.51532 + 19.9364i −0.184000 + 1.04352i
\(366\) −1.58378 8.98205i −0.0827854 0.469499i
\(367\) −3.32635 + 1.21069i −0.173634 + 0.0631977i −0.427374 0.904075i \(-0.640561\pi\)
0.253740 + 0.967272i \(0.418339\pi\)
\(368\) −2.95084 + 5.11100i −0.153823 + 0.266429i
\(369\) −1.73783 3.01000i −0.0904676 0.156694i
\(370\) 7.97431 + 6.69124i 0.414565 + 0.347861i
\(371\) 5.97565 + 5.01417i 0.310240 + 0.260323i
\(372\) −4.31908 7.48086i −0.223934 0.387865i
\(373\) −8.25924 + 14.3054i −0.427647 + 0.740707i −0.996664 0.0816196i \(-0.973991\pi\)
0.569016 + 0.822326i \(0.307324\pi\)
\(374\) 3.03209 1.10359i 0.156786 0.0570653i
\(375\) 1.94949 + 11.0561i 0.100671 + 0.570936i
\(376\) 0.805407 4.56769i 0.0415357 0.235561i
\(377\) −3.66385 1.33353i −0.188698 0.0686804i
\(378\) −0.500000 + 0.419550i −0.0257172 + 0.0215793i
\(379\) −3.56893 −0.183323 −0.0916617 0.995790i \(-0.529218\pi\)
−0.0916617 + 0.995790i \(0.529218\pi\)
\(380\) −4.97431 8.33429i −0.255177 0.427540i
\(381\) −9.67499 −0.495665
\(382\) −3.36437 + 2.82304i −0.172136 + 0.144439i
\(383\) 11.3366 + 4.12619i 0.579274 + 0.210839i 0.615005 0.788523i \(-0.289154\pi\)
−0.0357313 + 0.999361i \(0.511376\pi\)
\(384\) 0.173648 0.984808i 0.00886145 0.0502558i
\(385\) 0.386659 + 2.19285i 0.0197060 + 0.111758i
\(386\) 4.56418 1.66122i 0.232311 0.0845541i
\(387\) −5.14543 + 8.91215i −0.261557 + 0.453030i
\(388\) −1.23396 2.13727i −0.0626446 0.108504i
\(389\) 14.4743 + 12.1454i 0.733877 + 0.615796i 0.931185 0.364546i \(-0.118776\pi\)
−0.197309 + 0.980341i \(0.563220\pi\)
\(390\) −0.798133 0.669713i −0.0404151 0.0339123i
\(391\) 6.21466 + 10.7641i 0.314289 + 0.544364i
\(392\) −3.28699 + 5.69323i −0.166018 + 0.287552i
\(393\) −1.78699 + 0.650411i −0.0901417 + 0.0328089i
\(394\) −3.52229 19.9759i −0.177450 1.00637i
\(395\) 4.66209 26.4400i 0.234575 1.33034i
\(396\) 1.43969 + 0.524005i 0.0723473 + 0.0263323i
\(397\) 13.9743 11.7258i 0.701350 0.588503i −0.220807 0.975318i \(-0.570869\pi\)
0.922157 + 0.386815i \(0.126425\pi\)
\(398\) 22.4611 1.12587
\(399\) −2.68732 0.934204i −0.134534 0.0467687i
\(400\) −0.0418891 −0.00209445
\(401\) 25.9577 21.7811i 1.29627 1.08770i 0.305488 0.952196i \(-0.401180\pi\)
0.990777 0.135500i \(-0.0432642\pi\)
\(402\) −0.233956 0.0851529i −0.0116686 0.00424704i
\(403\) 0.701867 3.98048i 0.0349625 0.198282i
\(404\) −0.996596 5.65198i −0.0495825 0.281196i
\(405\) −2.09240 + 0.761570i −0.103972 + 0.0378427i
\(406\) 2.71941 4.71015i 0.134962 0.233761i
\(407\) −3.58125 6.20291i −0.177516 0.307467i
\(408\) −1.61334 1.35375i −0.0798723 0.0670208i
\(409\) −0.132474 0.111159i −0.00655043 0.00549647i 0.639507 0.768786i \(-0.279139\pi\)
−0.646057 + 0.763289i \(0.723583\pi\)
\(410\) 3.86959 + 6.70232i 0.191105 + 0.331004i
\(411\) −0.889185 + 1.54011i −0.0438603 + 0.0759682i
\(412\) 12.9757 4.72275i 0.639264 0.232673i
\(413\) −1.61334 9.14971i −0.0793873 0.450228i
\(414\) −1.02481 + 5.81201i −0.0503669 + 0.285645i
\(415\) −7.76099 2.82477i −0.380972 0.138663i
\(416\) 0.358441 0.300767i 0.0175740 0.0147463i
\(417\) 0.751030 0.0367781
\(418\) 1.25490 + 6.55926i 0.0613792 + 0.320824i
\(419\) −36.5800 −1.78705 −0.893524 0.449015i \(-0.851775\pi\)
−0.893524 + 0.449015i \(0.851775\pi\)
\(420\) 1.11334 0.934204i 0.0543255 0.0455845i
\(421\) −34.6400 12.6079i −1.68825 0.614472i −0.693845 0.720124i \(-0.744085\pi\)
−0.994403 + 0.105652i \(0.966307\pi\)
\(422\) 1.72921 9.80682i 0.0841765 0.477389i
\(423\) −0.805407 4.56769i −0.0391602 0.222089i
\(424\) −11.2306 + 4.08759i −0.545404 + 0.198511i
\(425\) −0.0441106 + 0.0764018i −0.00213968 + 0.00370603i
\(426\) 2.22416 + 3.85235i 0.107761 + 0.186647i
\(427\) 4.56031 + 3.82655i 0.220689 + 0.185180i
\(428\) 1.46585 + 1.23000i 0.0708546 + 0.0594541i
\(429\) 0.358441 + 0.620838i 0.0173057 + 0.0299743i
\(430\) 11.4572 19.8445i 0.552517 0.956987i
\(431\) 17.7763 6.47005i 0.856255 0.311651i 0.123667 0.992324i \(-0.460535\pi\)
0.732588 + 0.680673i \(0.238312\pi\)
\(432\) −0.173648 0.984808i −0.00835465 0.0473816i
\(433\) 3.86659 21.9285i 0.185817 1.05382i −0.739085 0.673612i \(-0.764742\pi\)
0.924902 0.380206i \(-0.124147\pi\)
\(434\) 5.29813 + 1.92836i 0.254319 + 0.0925644i
\(435\) 14.2135 11.9265i 0.681484 0.571833i
\(436\) −11.8152 −0.565846
\(437\) −24.0433 + 9.14798i −1.15015 + 0.437607i
\(438\) −9.09152 −0.434410
\(439\) 25.6156 21.4941i 1.22257 1.02586i 0.223880 0.974617i \(-0.428128\pi\)
0.998686 0.0512387i \(-0.0163169\pi\)
\(440\) −3.20574 1.16679i −0.152828 0.0556247i
\(441\) −1.14156 + 6.47410i −0.0543600 + 0.308291i
\(442\) −0.171122 0.970481i −0.00813944 0.0461611i
\(443\) −32.7904 + 11.9347i −1.55792 + 0.567037i −0.970259 0.242069i \(-0.922174\pi\)
−0.587662 + 0.809106i \(0.699952\pi\)
\(444\) −2.33750 + 4.04866i −0.110933 + 0.192141i
\(445\) −18.6668 32.3319i −0.884893 1.53268i
\(446\) −1.47178 1.23497i −0.0696909 0.0584776i
\(447\) 4.57919 + 3.84240i 0.216588 + 0.181739i
\(448\) 0.326352 + 0.565258i 0.0154187 + 0.0267059i
\(449\) 4.09152 7.08672i 0.193091 0.334443i −0.753182 0.657812i \(-0.771482\pi\)
0.946273 + 0.323369i \(0.104815\pi\)
\(450\) −0.0393628 + 0.0143269i −0.00185558 + 0.000675377i
\(451\) −0.924678 5.24411i −0.0435414 0.246935i
\(452\) 0.937166 5.31493i 0.0440806 0.249994i
\(453\) −15.5753 5.66895i −0.731792 0.266351i
\(454\) −0.690722 + 0.579585i −0.0324172 + 0.0272013i
\(455\) 0.680045 0.0318810
\(456\) 3.29813 2.84997i 0.154449 0.133462i
\(457\) −41.0259 −1.91911 −0.959556 0.281519i \(-0.909162\pi\)
−0.959556 + 0.281519i \(0.909162\pi\)
\(458\) 0.271259 0.227613i 0.0126751 0.0106357i
\(459\) −1.97906 0.720317i −0.0923744 0.0336215i
\(460\) 2.28194 12.9415i 0.106396 0.603401i
\(461\) −0.802719 4.55245i −0.0373863 0.212029i 0.960392 0.278653i \(-0.0898880\pi\)
−0.997778 + 0.0666248i \(0.978777\pi\)
\(462\) −0.939693 + 0.342020i −0.0437185 + 0.0159122i
\(463\) −2.75624 + 4.77396i −0.128094 + 0.221865i −0.922938 0.384949i \(-0.874219\pi\)
0.794844 + 0.606813i \(0.207552\pi\)
\(464\) 4.16637 + 7.21637i 0.193419 + 0.335012i
\(465\) 14.7344 + 12.3636i 0.683292 + 0.573350i
\(466\) 12.7947 + 10.7361i 0.592704 + 0.497338i
\(467\) −5.58466 9.67291i −0.258427 0.447609i 0.707394 0.706820i \(-0.249871\pi\)
−0.965821 + 0.259211i \(0.916537\pi\)
\(468\) 0.233956 0.405223i 0.0108146 0.0187314i
\(469\) 0.152704 0.0555796i 0.00705120 0.00256643i
\(470\) 1.79339 + 10.1708i 0.0827227 + 0.469144i
\(471\) 2.90033 16.4486i 0.133640 0.757911i
\(472\) 13.3760 + 4.86846i 0.615679 + 0.224089i
\(473\) −12.0778 + 10.1345i −0.555340 + 0.465986i
\(474\) 12.0574 0.553813
\(475\) −0.141559 0.115326i −0.00649519 0.00529153i
\(476\) 1.37464 0.0630064
\(477\) −9.15523 + 7.68215i −0.419189 + 0.351741i
\(478\) 9.44831 + 3.43890i 0.432156 + 0.157292i
\(479\) 1.50459 8.53293i 0.0687463 0.389879i −0.930948 0.365152i \(-0.881017\pi\)
0.999694 0.0247276i \(-0.00787184\pi\)
\(480\) 0.386659 + 2.19285i 0.0176485 + 0.100090i
\(481\) −2.05556 + 0.748163i −0.0937255 + 0.0341133i
\(482\) −11.5496 + 20.0045i −0.526071 + 0.911182i
\(483\) −1.92602 3.33597i −0.0876370 0.151792i
\(484\) −6.62836 5.56185i −0.301289 0.252811i
\(485\) 4.20961 + 3.53228i 0.191148 + 0.160393i
\(486\) −0.500000 0.866025i −0.0226805 0.0392837i
\(487\) 0.0471036 0.0815859i 0.00213447 0.00369701i −0.864956 0.501847i \(-0.832654\pi\)
0.867091 + 0.498150i \(0.165987\pi\)
\(488\) −8.57057 + 3.11943i −0.387972 + 0.141210i
\(489\) 2.75356 + 15.6162i 0.124520 + 0.706189i
\(490\) 2.54189 14.4158i 0.114831 0.651238i
\(491\) 26.3075 + 9.57516i 1.18724 + 0.432121i 0.858754 0.512388i \(-0.171239\pi\)
0.328488 + 0.944508i \(0.393461\pi\)
\(492\) −2.66250 + 2.23411i −0.120035 + 0.100721i
\(493\) 17.5493 0.790382
\(494\) 2.03936 0.0295733i 0.0917553 0.00133056i
\(495\) −3.41147 −0.153334
\(496\) −6.61721 + 5.55250i −0.297122 + 0.249315i
\(497\) −2.72833 0.993031i −0.122382 0.0445435i
\(498\) 0.644086 3.65279i 0.0288622 0.163685i
\(499\) −6.42144 36.4178i −0.287463 1.63028i −0.696353 0.717700i \(-0.745195\pi\)
0.408890 0.912584i \(-0.365916\pi\)
\(500\) 10.5496 3.83975i 0.471794 0.171719i
\(501\) −1.13176 + 1.96026i −0.0505633 + 0.0875781i
\(502\) 6.08125 + 10.5330i 0.271420 + 0.470112i
\(503\) −17.3084 14.5235i −0.771743 0.647570i 0.169411 0.985545i \(-0.445813\pi\)
−0.941155 + 0.337976i \(0.890258\pi\)
\(504\) 0.500000 + 0.419550i 0.0222718 + 0.0186882i
\(505\) 6.38965 + 11.0672i 0.284336 + 0.492484i
\(506\) −4.52094 + 7.83051i −0.200980 + 0.348108i
\(507\) −12.0103 + 4.37138i −0.533395 + 0.194140i
\(508\) 1.68004 + 9.52801i 0.0745399 + 0.422737i
\(509\) −7.71869 + 43.7749i −0.342125 + 1.94029i −0.00174780 + 0.999998i \(0.500556\pi\)
−0.340377 + 0.940289i \(0.610555\pi\)
\(510\) 4.40673 + 1.60392i 0.195133 + 0.0710226i
\(511\) 4.54576 3.81435i 0.201093 0.168737i
\(512\) −1.00000 −0.0441942
\(513\) 2.12449 3.80612i 0.0937983 0.168044i
\(514\) 3.94625 0.174062
\(515\) −23.5535 + 19.7637i −1.03789 + 0.870894i
\(516\) 9.67024 + 3.51968i 0.425709 + 0.154945i
\(517\) 1.23396 6.99811i 0.0542693 0.307777i
\(518\) −0.529867 3.00503i −0.0232810 0.132033i
\(519\) 8.79086 3.19961i 0.385876 0.140447i
\(520\) −0.520945 + 0.902302i −0.0228449 + 0.0395686i
\(521\) 12.1322 + 21.0136i 0.531522 + 0.920624i 0.999323 + 0.0367899i \(0.0117132\pi\)
−0.467801 + 0.883834i \(0.654953\pi\)
\(522\) 6.38326 + 5.35619i 0.279388 + 0.234434i
\(523\) −18.5462 15.5621i −0.810970 0.680485i 0.139869 0.990170i \(-0.455332\pi\)
−0.950839 + 0.309685i \(0.899776\pi\)
\(524\) 0.950837 + 1.64690i 0.0415375 + 0.0719451i
\(525\) 0.0136706 0.0236781i 0.000596633 0.00103340i
\(526\) 8.52229 3.10186i 0.371589 0.135247i
\(527\) 3.15910 + 17.9161i 0.137613 + 0.780440i
\(528\) 0.266044 1.50881i 0.0115781 0.0656627i
\(529\) −11.1163 4.04601i −0.483319 0.175914i
\(530\) 20.3858 17.1057i 0.885502 0.743024i
\(531\) 14.2344 0.617721
\(532\) −0.453363 + 2.80872i −0.0196558 + 0.121773i
\(533\) −1.62630 −0.0704427
\(534\) 12.8439 10.7773i 0.555810 0.466380i
\(535\) −4.00387 1.45729i −0.173102 0.0630041i
\(536\) −0.0432332 + 0.245188i −0.00186739 + 0.0105905i
\(537\) 2.73989 + 15.5387i 0.118235 + 0.670543i
\(538\) −26.3234 + 9.58094i −1.13488 + 0.413064i
\(539\) −5.03596 + 8.72254i −0.216914 + 0.375706i
\(540\) 1.11334 + 1.92836i 0.0479106 + 0.0829835i
\(541\) 26.2219 + 22.0028i 1.12737 + 0.945975i 0.998953 0.0457455i \(-0.0145663\pi\)
0.128416 + 0.991720i \(0.459011\pi\)
\(542\) 12.8969 + 10.8218i 0.553970 + 0.464836i
\(543\) 3.50134 + 6.06451i 0.150257 + 0.260253i
\(544\) −1.05303 + 1.82391i −0.0451484 + 0.0781994i
\(545\) 24.7221 8.99811i 1.05898 0.385437i
\(546\) 0.0530334 + 0.300767i 0.00226962 + 0.0128717i
\(547\) 4.39218 24.9093i 0.187796 1.06504i −0.734514 0.678593i \(-0.762590\pi\)
0.922310 0.386451i \(-0.126299\pi\)
\(548\) 1.67112 + 0.608239i 0.0713868 + 0.0259827i
\(549\) −6.98680 + 5.86262i −0.298189 + 0.250210i
\(550\) −0.0641778 −0.00273655
\(551\) −5.78787 + 35.8575i −0.246571 + 1.52758i
\(552\) 5.90167 0.251192
\(553\) −6.02869 + 5.05867i −0.256366 + 0.215116i
\(554\) −17.9957 6.54991i −0.764565 0.278279i
\(555\) 1.80763 10.2516i 0.0767296 0.435155i
\(556\) −0.130415 0.739620i −0.00553083 0.0313669i
\(557\) 10.2369 3.72594i 0.433753 0.157873i −0.115910 0.993260i \(-0.536978\pi\)
0.549663 + 0.835386i \(0.314756\pi\)
\(558\) −4.31908 + 7.48086i −0.182841 + 0.316690i
\(559\) 2.40760 + 4.17009i 0.101831 + 0.176376i
\(560\) −1.11334 0.934204i −0.0470472 0.0394773i
\(561\) −2.47178 2.07407i −0.104359 0.0875673i
\(562\) −1.97906 3.42782i −0.0834814 0.144594i
\(563\) −8.64337 + 14.9708i −0.364275 + 0.630942i −0.988659 0.150175i \(-0.952016\pi\)
0.624385 + 0.781117i \(0.285350\pi\)
\(564\) −4.35844 + 1.58634i −0.183523 + 0.0667971i
\(565\) 2.08677 + 11.8347i 0.0877911 + 0.497888i
\(566\) 1.14203 6.47675i 0.0480029 0.272238i
\(567\) 0.613341 + 0.223238i 0.0257579 + 0.00937511i
\(568\) 3.40760 2.85932i 0.142980 0.119974i
\(569\) 6.47834 0.271586 0.135793 0.990737i \(-0.456642\pi\)
0.135793 + 0.990737i \(0.456642\pi\)
\(570\) −4.73055 + 8.47502i −0.198141 + 0.354980i
\(571\) 38.5476 1.61317 0.806583 0.591121i \(-0.201314\pi\)
0.806583 + 0.591121i \(0.201314\pi\)
\(572\) 0.549163 0.460802i 0.0229617 0.0192671i
\(573\) 4.12701 + 1.50211i 0.172408 + 0.0627515i
\(574\) 0.393933 2.23411i 0.0164425 0.0932498i
\(575\) −0.0429285 0.243460i −0.00179024 0.0101530i
\(576\) −0.939693 + 0.342020i −0.0391539 + 0.0142508i
\(577\) 5.72756 9.92042i 0.238441 0.412993i −0.721826 0.692075i \(-0.756697\pi\)
0.960267 + 0.279082i \(0.0900302\pi\)
\(578\) −6.28224 10.8812i −0.261307 0.452597i
\(579\) −3.72075 3.12208i −0.154629 0.129749i
\(580\) −14.2135 11.9265i −0.590183 0.495222i
\(581\) 1.21048 + 2.09662i 0.0502194 + 0.0869825i
\(582\) −1.23396 + 2.13727i −0.0511491 + 0.0885928i
\(583\) −17.2062 + 6.26255i −0.712608 + 0.259368i
\(584\) 1.57873 + 8.95340i 0.0653281 + 0.370494i
\(585\) −0.180922 + 1.02606i −0.00748021 + 0.0424224i
\(586\) 20.3871 + 7.42031i 0.842184 + 0.306530i
\(587\) 32.7467 27.4778i 1.35160 1.13413i 0.373124 0.927781i \(-0.378286\pi\)
0.978479 0.206348i \(-0.0661580\pi\)
\(588\) 6.57398 0.271106
\(589\) −37.6489 + 0.545955i −1.55130 + 0.0224957i
\(590\) −31.6955 −1.30488
\(591\) −15.5385 + 13.0383i −0.639168 + 0.536326i
\(592\) 4.39306 + 1.59894i 0.180553 + 0.0657161i
\(593\) 5.68092 32.2181i 0.233288 1.32304i −0.612903 0.790158i \(-0.709998\pi\)
0.846190 0.532881i \(-0.178891\pi\)
\(594\) −0.266044 1.50881i −0.0109159 0.0619073i
\(595\) −2.87629 + 1.04688i −0.117916 + 0.0429180i
\(596\) 2.98886 5.17685i 0.122428 0.212052i
\(597\) −11.2306 19.4519i −0.459636 0.796113i
\(598\) 2.11540 + 1.77503i 0.0865051 + 0.0725864i
\(599\) 7.05896 + 5.92317i 0.288421 + 0.242014i 0.775506 0.631341i \(-0.217495\pi\)
−0.487084 + 0.873355i \(0.661939\pi\)
\(600\) 0.0209445 + 0.0362770i 0.000855057 + 0.00148100i
\(601\) −4.83884 + 8.38112i −0.197380 + 0.341873i −0.947678 0.319227i \(-0.896577\pi\)
0.750298 + 0.661100i \(0.229910\pi\)
\(602\) −6.31180 + 2.29731i −0.257250 + 0.0936313i
\(603\) 0.0432332 + 0.245188i 0.00176059 + 0.00998482i
\(604\) −2.87820 + 16.3231i −0.117112 + 0.664178i
\(605\) 18.1049 + 6.58964i 0.736068 + 0.267907i
\(606\) −4.39646 + 3.68907i −0.178594 + 0.149858i
\(607\) 36.4766 1.48054 0.740269 0.672310i \(-0.234698\pi\)
0.740269 + 0.672310i \(0.234698\pi\)
\(608\) −3.37939 2.75314i −0.137052 0.111654i
\(609\) −5.43882 −0.220392
\(610\) 15.5574 13.0542i 0.629900 0.528548i
\(611\) −2.03936 0.742267i −0.0825038 0.0300289i
\(612\) −0.365715 + 2.07407i −0.0147831 + 0.0838393i
\(613\) −2.02987 11.5119i −0.0819856 0.464963i −0.997966 0.0637414i \(-0.979697\pi\)
0.915981 0.401222i \(-0.131414\pi\)
\(614\) 16.7271 6.08818i 0.675053 0.245699i
\(615\) 3.86959 6.70232i 0.156037 0.270264i
\(616\) 0.500000 + 0.866025i 0.0201456 + 0.0348932i
\(617\) 13.6459 + 11.4503i 0.549363 + 0.460970i 0.874725 0.484619i \(-0.161042\pi\)
−0.325362 + 0.945589i \(0.605486\pi\)
\(618\) −10.5778 8.87587i −0.425503 0.357040i
\(619\) −13.9932 24.2369i −0.562434 0.974164i −0.997283 0.0736609i \(-0.976532\pi\)
0.434849 0.900503i \(-0.356802\pi\)
\(620\) 9.61721 16.6575i 0.386236 0.668981i
\(621\) 5.54576 2.01849i 0.222544 0.0809993i
\(622\) 0.282241 + 1.60067i 0.0113168 + 0.0641810i
\(623\) −1.90033 + 10.7773i −0.0761351 + 0.431784i
\(624\) −0.439693 0.160035i −0.0176018 0.00640653i
\(625\) −18.9893 + 15.9339i −0.759573 + 0.637357i
\(626\) −30.0729 −1.20195
\(627\) 5.05303 4.36640i 0.201799 0.174377i
\(628\) −16.7023 −0.666496
\(629\) 7.54236 6.32879i 0.300733 0.252345i
\(630\) −1.36571 0.497079i −0.0544114 0.0198041i
\(631\) −0.653170 + 3.70431i −0.0260023 + 0.147466i −0.995045 0.0994276i \(-0.968299\pi\)
0.969042 + 0.246894i \(0.0794099\pi\)
\(632\) −2.09374 11.8742i −0.0832845 0.472330i
\(633\) −9.35756 + 3.40587i −0.371930 + 0.135371i
\(634\) −5.66637 + 9.81445i −0.225040 + 0.389782i
\(635\) −10.7716 18.6569i −0.427456 0.740376i
\(636\) 9.15523 + 7.68215i 0.363028 + 0.304617i
\(637\) 2.35638 + 1.97724i 0.0933632 + 0.0783410i
\(638\) 6.38326 + 11.0561i 0.252716 + 0.437716i
\(639\) 2.22416 3.85235i 0.0879862 0.152397i
\(640\) 2.09240 0.761570i 0.0827092 0.0301037i
\(641\) 2.91329 + 16.5221i 0.115068 + 0.652582i 0.986717 + 0.162451i \(0.0519400\pi\)
−0.871649 + 0.490131i \(0.836949\pi\)
\(642\) 0.332282 1.88446i 0.0131141 0.0743738i
\(643\) 20.8396 + 7.58500i 0.821834 + 0.299123i 0.718503 0.695524i \(-0.244828\pi\)
0.103331 + 0.994647i \(0.467050\pi\)
\(644\) −2.95084 + 2.47605i −0.116279 + 0.0975699i
\(645\) −22.9145 −0.902256
\(646\) −8.58007 + 3.26454i −0.337578 + 0.128442i
\(647\) 16.6759 0.655598 0.327799 0.944747i \(-0.393693\pi\)
0.327799 + 0.944747i \(0.393693\pi\)
\(648\) −0.766044 + 0.642788i −0.0300931 + 0.0252511i
\(649\) 20.4932 + 7.45891i 0.804428 + 0.292788i
\(650\) −0.00340357 + 0.0193026i −0.000133499 + 0.000757110i
\(651\) −0.979055 5.55250i −0.0383722 0.217620i
\(652\) 14.9008 5.42345i 0.583560 0.212399i
\(653\) 13.4033 23.2152i 0.524513 0.908482i −0.475080 0.879943i \(-0.657581\pi\)
0.999593 0.0285398i \(-0.00908575\pi\)
\(654\) 5.90760 + 10.2323i 0.231006 + 0.400113i
\(655\) −3.24376 2.72183i −0.126744 0.106351i
\(656\) 2.66250 + 2.23411i 0.103953 + 0.0872272i
\(657\) 4.54576 + 7.87349i 0.177347 + 0.307174i
\(658\) 1.51367 2.62175i 0.0590090 0.102207i
\(659\) 16.6116 6.04612i 0.647096 0.235524i 0.00244038 0.999997i \(-0.499223\pi\)
0.644655 + 0.764474i \(0.277001\pi\)
\(660\) 0.592396 + 3.35965i 0.0230590 + 0.130774i
\(661\) 1.50593 8.54055i 0.0585739 0.332189i −0.941413 0.337255i \(-0.890502\pi\)
0.999987 + 0.00506615i \(0.00161261\pi\)
\(662\) −30.1869 10.9871i −1.17325 0.427027i
\(663\) −0.754900 + 0.633436i −0.0293179 + 0.0246006i
\(664\) −3.70914 −0.143943
\(665\) −1.19042 6.22221i −0.0461624 0.241287i
\(666\) 4.67499 0.181152
\(667\) −37.6719 + 31.6105i −1.45866 + 1.22396i
\(668\) 2.12701 + 0.774169i 0.0822965 + 0.0299535i
\(669\) −0.333626 + 1.89209i −0.0128987 + 0.0731523i
\(670\) −0.0962667 0.545955i −0.00371911 0.0210921i
\(671\) −13.1309 + 4.77925i −0.506912 + 0.184501i
\(672\) 0.326352 0.565258i 0.0125893 0.0218053i
\(673\) −1.08243 1.87483i −0.0417248 0.0722694i 0.844409 0.535699i \(-0.179952\pi\)
−0.886134 + 0.463430i \(0.846619\pi\)
\(674\) −23.2369 19.4981i −0.895054 0.751039i
\(675\) 0.0320889 + 0.0269258i 0.00123510 + 0.00103637i
\(676\) 6.39053 + 11.0687i 0.245790 + 0.425720i
\(677\) −6.37686 + 11.0450i −0.245083 + 0.424496i −0.962155 0.272503i \(-0.912148\pi\)
0.717072 + 0.696999i \(0.245482\pi\)
\(678\) −5.07145 + 1.84586i −0.194768 + 0.0708897i
\(679\) −0.279715 1.58634i −0.0107345 0.0608782i
\(680\) 0.814330 4.61830i 0.0312281 0.177104i
\(681\) 0.847296 + 0.308391i 0.0324685 + 0.0118176i
\(682\) −10.1382 + 8.50692i −0.388210 + 0.325747i
\(683\) −25.2608 −0.966579 −0.483289 0.875461i \(-0.660558\pi\)
−0.483289 + 0.875461i \(0.660558\pi\)
\(684\) −4.11721 1.43128i −0.157426 0.0547265i
\(685\) −3.95987 −0.151299
\(686\) −6.78699 + 5.69496i −0.259128 + 0.217435i
\(687\) −0.332748 0.121111i −0.0126951 0.00462065i
\(688\) 1.78699 10.1345i 0.0681283 0.386375i
\(689\) 0.971066 + 5.50719i 0.0369947 + 0.209807i
\(690\) −12.3486 + 4.49454i −0.470105 + 0.171104i
\(691\) −7.64796 + 13.2466i −0.290942 + 0.503926i −0.974033 0.226407i \(-0.927302\pi\)
0.683091 + 0.730333i \(0.260635\pi\)
\(692\) −4.67752 8.10170i −0.177813 0.307980i
\(693\) 0.766044 + 0.642788i 0.0290996 + 0.0244175i
\(694\) −3.29813 2.76746i −0.125195 0.105051i
\(695\) 0.836152 + 1.44826i 0.0317171 + 0.0549355i
\(696\) 4.16637 7.21637i 0.157926 0.273536i
\(697\) 6.87851 2.50357i 0.260542 0.0948296i
\(698\) 0.461981 + 2.62003i 0.0174863 + 0.0991695i
\(699\) 2.90033 16.4486i 0.109701 0.622143i
\(700\) −0.0256923 0.00935122i −0.000971077 0.000353443i
\(701\) 30.5369 25.6235i 1.15336 0.967786i 0.153570 0.988138i \(-0.450923\pi\)
0.999793 + 0.0203518i \(0.00647861\pi\)
\(702\) −0.467911 −0.0176602
\(703\) 10.4437 + 17.4981i 0.393893 + 0.659954i
\(704\) −1.53209 −0.0577428
\(705\) 7.91147 6.63852i 0.297963 0.250021i
\(706\) 34.0099 + 12.3786i 1.27998 + 0.465874i
\(707\) 0.650482 3.68907i 0.0244639 0.138742i
\(708\) −2.47178 14.0182i −0.0928952 0.526835i
\(709\) −22.4351 + 8.16571i −0.842568 + 0.306670i −0.727006 0.686631i \(-0.759089\pi\)
−0.115562 + 0.993300i \(0.536867\pi\)
\(710\) −4.95249 + 8.57796i −0.185863 + 0.321925i
\(711\) −6.02869 10.4420i −0.226093 0.391605i
\(712\) −12.8439 10.7773i −0.481345 0.403897i
\(713\) −39.0526 32.7690i −1.46253 1.22721i
\(714\) −0.687319 1.19047i −0.0257223 0.0445523i
\(715\) −0.798133 + 1.38241i −0.0298485 + 0.0516991i
\(716\) 14.8268 5.39652i 0.554104 0.201677i
\(717\) −1.74598 9.90193i −0.0652047 0.369794i
\(718\) −0.325008 + 1.84321i −0.0121292 + 0.0687880i
\(719\) 34.3050 + 12.4860i 1.27936 + 0.465649i 0.890221 0.455530i \(-0.150550\pi\)
0.389140 + 0.921179i \(0.372772\pi\)
\(720\) 1.70574 1.43128i 0.0635691 0.0533408i
\(721\) 9.01279 0.335654
\(722\) −3.84049 18.6078i −0.142928 0.692511i
\(723\) 23.0993 0.859071
\(724\) 5.36437 4.50124i 0.199365 0.167287i
\(725\) −0.328001 0.119382i −0.0121816 0.00443375i
\(726\) −1.50253 + 8.52125i −0.0557640 + 0.316253i
\(727\) 5.59580 + 31.7354i 0.207537 + 1.17700i 0.893398 + 0.449267i \(0.148315\pi\)
−0.685861 + 0.727733i \(0.740574\pi\)
\(728\) 0.286989 0.104455i 0.0106365 0.00387138i
\(729\) −0.500000 + 0.866025i −0.0185185 + 0.0320750i
\(730\) −10.1220 17.5317i −0.374631 0.648879i
\(731\) −16.6027 13.9313i −0.614072 0.515267i
\(732\) 6.98680 + 5.86262i 0.258239 + 0.216689i
\(733\) 3.48767 + 6.04083i 0.128820 + 0.223123i 0.923220 0.384272i \(-0.125548\pi\)
−0.794400 + 0.607396i \(0.792214\pi\)
\(734\) 1.76991 3.06558i 0.0653287 0.113153i
\(735\) −13.7554 + 5.00654i −0.507374 + 0.184669i
\(736\) −1.02481 5.81201i −0.0377752 0.214234i
\(737\) −0.0662372 + 0.375650i −0.00243988 + 0.0138372i
\(738\) 3.26604 + 1.18874i 0.120225 + 0.0437582i
\(739\) 18.6682 15.6645i 0.686720 0.576227i −0.231241 0.972896i \(-0.574279\pi\)
0.917961 + 0.396670i \(0.129834\pi\)
\(740\) −10.4097 −0.382669
\(741\) −1.04529 1.75135i −0.0383998 0.0643376i
\(742\) −7.80066 −0.286371
\(743\) −29.1536 + 24.4628i −1.06954 + 0.897453i −0.995011 0.0997653i \(-0.968191\pi\)
−0.0745322 + 0.997219i \(0.523746\pi\)
\(744\) 8.11721 + 2.95442i 0.297591 + 0.108314i
\(745\) −2.31134 + 13.1082i −0.0846808 + 0.480249i
\(746\) −2.86840 16.2675i −0.105020 0.595596i
\(747\) −3.48545 + 1.26860i −0.127526 + 0.0464157i
\(748\) −1.61334 + 2.79439i −0.0589896 + 0.102173i
\(749\) 0.624485 + 1.08164i 0.0228182 + 0.0395223i
\(750\) −8.60014 7.21637i −0.314033 0.263505i
\(751\) −2.24897 1.88711i −0.0820661 0.0688616i 0.600832 0.799376i \(-0.294836\pi\)
−0.682898 + 0.730514i \(0.739281\pi\)
\(752\) 2.31908 + 4.01676i 0.0845681 + 0.146476i
\(753\) 6.08125 10.5330i 0.221613 0.383845i
\(754\) 3.66385 1.33353i 0.133429 0.0485644i
\(755\) −6.40884 36.3463i −0.233242 1.32278i
\(756\) 0.113341 0.642788i 0.00412216 0.0233780i
\(757\) −10.6800 3.88722i −0.388173 0.141283i 0.140559 0.990072i \(-0.455110\pi\)
−0.528732 + 0.848789i \(0.677332\pi\)
\(758\) 2.73396 2.29406i 0.0993017 0.0833241i
\(759\) 9.04189 0.328200
\(760\) 9.16772 + 3.18701i 0.332548 + 0.115605i
\(761\) 10.4976 0.380538 0.190269 0.981732i \(-0.439064\pi\)
0.190269 + 0.981732i \(0.439064\pi\)
\(762\) 7.41147 6.21897i 0.268489 0.225289i
\(763\) −7.24675 2.63760i −0.262350 0.0954876i
\(764\) 0.762641 4.32515i 0.0275914 0.156478i
\(765\) −0.814330 4.61830i −0.0294422 0.166975i
\(766\) −11.3366 + 4.12619i −0.409609 + 0.149085i
\(767\) 3.33022 5.76811i 0.120247 0.208275i
\(768\) 0.500000 + 0.866025i 0.0180422 + 0.0312500i
\(769\) 5.93036 + 4.97616i 0.213854 + 0.179445i 0.743422 0.668823i \(-0.233201\pi\)
−0.529568 + 0.848268i \(0.677646\pi\)
\(770\) −1.70574 1.43128i −0.0614705 0.0515799i
\(771\) −1.97313 3.41755i −0.0710604 0.123080i
\(772\) −2.42855 + 4.20637i