Properties

Label 770.2.bv.a.3.5
Level $770$
Weight $2$
Character 770.3
Analytic conductor $6.148$
Analytic rank $0$
Dimension $768$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.bv (of order \(60\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(48\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 3.5
Character \(\chi\) \(=\) 770.3
Dual form 770.2.bv.a.257.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.933580 + 0.358368i) q^{2} +(-1.55619 + 1.01060i) q^{3} +(0.743145 - 0.669131i) q^{4} +(0.808226 - 2.08489i) q^{5} +(1.09066 - 1.50116i) q^{6} +(2.61764 - 0.384675i) q^{7} +(-0.453990 + 0.891007i) q^{8} +(0.180196 - 0.404728i) q^{9} +O(q^{10})\) \(q+(-0.933580 + 0.358368i) q^{2} +(-1.55619 + 1.01060i) q^{3} +(0.743145 - 0.669131i) q^{4} +(0.808226 - 2.08489i) q^{5} +(1.09066 - 1.50116i) q^{6} +(2.61764 - 0.384675i) q^{7} +(-0.453990 + 0.891007i) q^{8} +(0.180196 - 0.404728i) q^{9} +(-0.00738565 + 2.23606i) q^{10} +(1.05151 + 3.14553i) q^{11} +(-0.480249 + 1.79231i) q^{12} +(0.269983 - 1.70461i) q^{13} +(-2.30592 + 1.29720i) q^{14} +(0.849240 + 4.06127i) q^{15} +(0.104528 - 0.994522i) q^{16} +(-3.65329 - 1.40237i) q^{17} +(-0.0231864 + 0.442422i) q^{18} +(1.85643 - 2.06177i) q^{19} +(-0.794436 - 2.09018i) q^{20} +(-3.68478 + 3.24401i) q^{21} +(-2.10892 - 2.55977i) q^{22} +(0.520545 - 1.94270i) q^{23} +(-0.193957 - 1.84538i) q^{24} +(-3.69354 - 3.37013i) q^{25} +(0.358825 + 1.68814i) q^{26} +(-0.742213 - 4.68615i) q^{27} +(1.68789 - 2.03741i) q^{28} +(6.75599 + 2.19515i) q^{29} +(-2.24826 - 3.48718i) q^{30} +(4.86065 - 0.510875i) q^{31} +(0.258819 + 0.965926i) q^{32} +(-4.81521 - 3.83237i) q^{33} +3.91321 q^{34} +(1.31364 - 5.76839i) q^{35} +(-0.136904 - 0.421346i) q^{36} +(1.67913 - 2.58563i) q^{37} +(-0.994252 + 2.59012i) q^{38} +(1.30253 + 2.92553i) q^{39} +(1.49072 + 1.66666i) q^{40} +(-2.00363 + 0.651020i) q^{41} +(2.27749 - 4.34905i) q^{42} +(0.687996 + 0.687996i) q^{43} +(2.88619 + 1.63398i) q^{44} +(-0.698174 - 0.702801i) q^{45} +(0.210231 + 2.00021i) q^{46} +(3.96165 - 0.207621i) q^{47} +(0.842398 + 1.65330i) q^{48} +(6.70405 - 2.01388i) q^{49} +(4.65596 + 1.82264i) q^{50} +(7.10244 - 1.50967i) q^{51} +(-0.939967 - 1.44742i) q^{52} +(-5.08396 + 6.27817i) q^{53} +(2.37228 + 4.10891i) q^{54} +(7.40793 + 0.350012i) q^{55} +(-0.845635 + 2.50697i) q^{56} +(-0.805323 + 5.08461i) q^{57} +(-7.09393 + 0.371777i) q^{58} +(3.08976 + 3.43153i) q^{59} +(3.34863 + 2.44986i) q^{60} +(-0.102327 - 0.0107550i) q^{61} +(-4.35473 + 2.21885i) q^{62} +(0.316000 - 1.12875i) q^{63} +(-0.587785 - 0.809017i) q^{64} +(-3.33571 - 1.94059i) q^{65} +(5.86879 + 1.85221i) q^{66} +(-0.700150 - 2.61300i) q^{67} +(-3.65329 + 1.40237i) q^{68} +(1.15323 + 3.54927i) q^{69} +(0.840821 + 5.85602i) q^{70} +(11.5314 + 8.37805i) q^{71} +(0.278807 + 0.344299i) q^{72} +(12.0324 + 0.630590i) q^{73} +(-0.640994 + 3.01564i) q^{74} +(9.15369 + 1.51185i) q^{75} -2.77439i q^{76} +(3.96247 + 7.82936i) q^{77} +(-2.26443 - 2.26443i) q^{78} +(5.47501 - 12.2971i) q^{79} +(-1.98899 - 1.02173i) q^{80} +(6.78018 + 7.53015i) q^{81} +(1.63725 - 1.32582i) q^{82} +(6.31111 - 0.999581i) q^{83} +(-0.567660 + 4.87637i) q^{84} +(-5.87647 + 6.48329i) q^{85} +(-0.888855 - 0.395744i) q^{86} +(-12.7320 + 3.41153i) q^{87} +(-3.28006 - 0.491137i) q^{88} +(-4.69912 - 8.13911i) q^{89} +(0.903662 + 0.405918i) q^{90} +(0.0509992 - 4.56590i) q^{91} +(-0.913080 - 1.79202i) q^{92} +(-7.04779 + 5.70719i) q^{93} +(-3.62412 + 1.61356i) q^{94} +(-2.79816 - 5.53683i) q^{95} +(-1.37894 - 1.24160i) q^{96} +(-5.78741 - 0.916635i) q^{97} +(-5.53706 + 4.28263i) q^{98} +(1.46256 + 0.141237i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768 q + 24 q^{5} + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 768 q + 24 q^{5} + 4 q^{7} + 24 q^{10} + 12 q^{11} - 24 q^{15} - 96 q^{16} + 8 q^{22} + 8 q^{23} + 16 q^{25} - 24 q^{26} - 28 q^{28} - 16 q^{30} + 252 q^{33} - 40 q^{35} + 160 q^{36} - 8 q^{37} - 44 q^{42} + 80 q^{43} + 96 q^{45} - 8 q^{46} - 24 q^{47} + 64 q^{50} - 8 q^{51} + 40 q^{53} + 16 q^{56} + 64 q^{57} - 48 q^{58} - 164 q^{63} - 88 q^{65} + 32 q^{67} - 100 q^{70} + 32 q^{71} + 120 q^{73} - 336 q^{75} - 96 q^{77} - 36 q^{80} - 24 q^{81} + 48 q^{82} - 112 q^{85} - 24 q^{87} + 4 q^{88} - 12 q^{91} - 16 q^{92} - 88 q^{93} - 44 q^{95} + 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{4}{5}\right)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.933580 + 0.358368i −0.660141 + 0.253404i
\(3\) −1.55619 + 1.01060i −0.898465 + 0.583470i −0.909148 0.416473i \(-0.863266\pi\)
0.0106831 + 0.999943i \(0.496599\pi\)
\(4\) 0.743145 0.669131i 0.371572 0.334565i
\(5\) 0.808226 2.08489i 0.361450 0.932392i
\(6\) 1.09066 1.50116i 0.445260 0.612847i
\(7\) 2.61764 0.384675i 0.989374 0.145393i
\(8\) −0.453990 + 0.891007i −0.160510 + 0.315018i
\(9\) 0.180196 0.404728i 0.0600654 0.134909i
\(10\) −0.00738565 + 2.23606i −0.00233555 + 0.707103i
\(11\) 1.05151 + 3.14553i 0.317042 + 0.948411i
\(12\) −0.480249 + 1.79231i −0.138636 + 0.517397i
\(13\) 0.269983 1.70461i 0.0748798 0.472773i −0.921544 0.388274i \(-0.873071\pi\)
0.996424 0.0844982i \(-0.0269287\pi\)
\(14\) −2.30592 + 1.29720i −0.616283 + 0.346692i
\(15\) 0.849240 + 4.06127i 0.219273 + 1.04862i
\(16\) 0.104528 0.994522i 0.0261321 0.248630i
\(17\) −3.65329 1.40237i −0.886054 0.340124i −0.127580 0.991828i \(-0.540721\pi\)
−0.758473 + 0.651704i \(0.774054\pi\)
\(18\) −0.0231864 + 0.442422i −0.00546508 + 0.104280i
\(19\) 1.85643 2.06177i 0.425894 0.473003i −0.491561 0.870843i \(-0.663573\pi\)
0.917455 + 0.397840i \(0.130240\pi\)
\(20\) −0.794436 2.09018i −0.177641 0.467380i
\(21\) −3.68478 + 3.24401i −0.804085 + 0.707901i
\(22\) −2.10892 2.55977i −0.449624 0.545746i
\(23\) 0.520545 1.94270i 0.108541 0.405081i −0.890182 0.455606i \(-0.849423\pi\)
0.998723 + 0.0505248i \(0.0160894\pi\)
\(24\) −0.193957 1.84538i −0.0395913 0.376686i
\(25\) −3.69354 3.37013i −0.738708 0.674025i
\(26\) 0.358825 + 1.68814i 0.0703714 + 0.331071i
\(27\) −0.742213 4.68615i −0.142839 0.901850i
\(28\) 1.68789 2.03741i 0.318981 0.385034i
\(29\) 6.75599 + 2.19515i 1.25456 + 0.407630i 0.859551 0.511050i \(-0.170743\pi\)
0.395004 + 0.918679i \(0.370743\pi\)
\(30\) −2.24826 3.48718i −0.410475 0.636670i
\(31\) 4.86065 0.510875i 0.872999 0.0917559i 0.342577 0.939490i \(-0.388700\pi\)
0.530422 + 0.847734i \(0.322034\pi\)
\(32\) 0.258819 + 0.965926i 0.0457532 + 0.170753i
\(33\) −4.81521 3.83237i −0.838221 0.667130i
\(34\) 3.91321 0.671109
\(35\) 1.31364 5.76839i 0.222045 0.975036i
\(36\) −0.136904 0.421346i −0.0228173 0.0702243i
\(37\) 1.67913 2.58563i 0.276047 0.425075i −0.673269 0.739397i \(-0.735111\pi\)
0.949316 + 0.314322i \(0.101777\pi\)
\(38\) −0.994252 + 2.59012i −0.161289 + 0.420172i
\(39\) 1.30253 + 2.92553i 0.208572 + 0.468460i
\(40\) 1.49072 + 1.66666i 0.235704 + 0.263521i
\(41\) −2.00363 + 0.651020i −0.312915 + 0.101672i −0.461264 0.887263i \(-0.652604\pi\)
0.148349 + 0.988935i \(0.452604\pi\)
\(42\) 2.27749 4.34905i 0.351424 0.671073i
\(43\) 0.687996 + 0.687996i 0.104918 + 0.104918i 0.757617 0.652699i \(-0.226363\pi\)
−0.652699 + 0.757617i \(0.726363\pi\)
\(44\) 2.88619 + 1.63398i 0.435110 + 0.246332i
\(45\) −0.698174 0.702801i −0.104078 0.104767i
\(46\) 0.210231 + 2.00021i 0.0309969 + 0.294915i
\(47\) 3.96165 0.207621i 0.577867 0.0302847i 0.238836 0.971060i \(-0.423234\pi\)
0.339031 + 0.940775i \(0.389901\pi\)
\(48\) 0.842398 + 1.65330i 0.121590 + 0.238633i
\(49\) 6.70405 2.01388i 0.957722 0.287697i
\(50\) 4.65596 + 1.82264i 0.658453 + 0.257760i
\(51\) 7.10244 1.50967i 0.994541 0.211396i
\(52\) −0.939967 1.44742i −0.130350 0.200721i
\(53\) −5.08396 + 6.27817i −0.698336 + 0.862373i −0.995723 0.0923840i \(-0.970551\pi\)
0.297388 + 0.954757i \(0.403885\pi\)
\(54\) 2.37228 + 4.10891i 0.322827 + 0.559152i
\(55\) 7.40793 + 0.350012i 0.998886 + 0.0471956i
\(56\) −0.845635 + 2.50697i −0.113003 + 0.335008i
\(57\) −0.805323 + 5.08461i −0.106668 + 0.673473i
\(58\) −7.09393 + 0.371777i −0.931479 + 0.0488167i
\(59\) 3.08976 + 3.43153i 0.402253 + 0.446747i 0.909906 0.414815i \(-0.136154\pi\)
−0.507653 + 0.861561i \(0.669487\pi\)
\(60\) 3.34863 + 2.44986i 0.432306 + 0.316276i
\(61\) −0.102327 0.0107550i −0.0131017 0.00137704i 0.0979754 0.995189i \(-0.468763\pi\)
−0.111077 + 0.993812i \(0.535430\pi\)
\(62\) −4.35473 + 2.21885i −0.553051 + 0.281794i
\(63\) 0.316000 1.12875i 0.0398123 0.142209i
\(64\) −0.587785 0.809017i −0.0734732 0.101127i
\(65\) −3.33571 1.94059i −0.413744 0.240701i
\(66\) 5.86879 + 1.85221i 0.722398 + 0.227991i
\(67\) −0.700150 2.61300i −0.0855370 0.319228i 0.909878 0.414875i \(-0.136175\pi\)
−0.995415 + 0.0956468i \(0.969508\pi\)
\(68\) −3.65329 + 1.40237i −0.443027 + 0.170062i
\(69\) 1.15323 + 3.54927i 0.138832 + 0.427281i
\(70\) 0.840821 + 5.85602i 0.100497 + 0.699929i
\(71\) 11.5314 + 8.37805i 1.36852 + 0.994292i 0.997851 + 0.0655287i \(0.0208734\pi\)
0.370674 + 0.928763i \(0.379127\pi\)
\(72\) 0.278807 + 0.344299i 0.0328578 + 0.0405760i
\(73\) 12.0324 + 0.630590i 1.40828 + 0.0738049i 0.741252 0.671226i \(-0.234232\pi\)
0.667030 + 0.745031i \(0.267565\pi\)
\(74\) −0.640994 + 3.01564i −0.0745140 + 0.350561i
\(75\) 9.15369 + 1.51185i 1.05698 + 0.174574i
\(76\) 2.77439i 0.318244i
\(77\) 3.96247 + 7.82936i 0.451566 + 0.892238i
\(78\) −2.26443 2.26443i −0.256397 0.256397i
\(79\) 5.47501 12.2971i 0.615987 1.38353i −0.288687 0.957423i \(-0.593219\pi\)
0.904674 0.426105i \(-0.140115\pi\)
\(80\) −1.98899 1.02173i −0.222376 0.114233i
\(81\) 6.78018 + 7.53015i 0.753353 + 0.836683i
\(82\) 1.63725 1.32582i 0.180804 0.146412i
\(83\) 6.31111 0.999581i 0.692734 0.109718i 0.199867 0.979823i \(-0.435949\pi\)
0.492867 + 0.870105i \(0.335949\pi\)
\(84\) −0.567660 + 4.87637i −0.0619368 + 0.532055i
\(85\) −5.87647 + 6.48329i −0.637393 + 0.703211i
\(86\) −0.888855 0.395744i −0.0958477 0.0426741i
\(87\) −12.7320 + 3.41153i −1.36501 + 0.365754i
\(88\) −3.28006 0.491137i −0.349655 0.0523554i
\(89\) −4.69912 8.13911i −0.498105 0.862744i 0.501892 0.864930i \(-0.332637\pi\)
−0.999998 + 0.00218630i \(0.999304\pi\)
\(90\) 0.903662 + 0.405918i 0.0952544 + 0.0427875i
\(91\) 0.0509992 4.56590i 0.00534617 0.478636i
\(92\) −0.913080 1.79202i −0.0951951 0.186831i
\(93\) −7.04779 + 5.70719i −0.730822 + 0.591808i
\(94\) −3.62412 + 1.61356i −0.373799 + 0.166426i
\(95\) −2.79816 5.53683i −0.287085 0.568067i
\(96\) −1.37894 1.24160i −0.140737 0.126720i
\(97\) −5.78741 0.916635i −0.587622 0.0930702i −0.144458 0.989511i \(-0.546144\pi\)
−0.443164 + 0.896441i \(0.646144\pi\)
\(98\) −5.53706 + 4.28263i −0.559328 + 0.432611i
\(99\) 1.46256 + 0.141237i 0.146993 + 0.0141949i
\(100\) −4.99989 0.0330295i −0.499989 0.00330295i
\(101\) 16.4458 1.72852i 1.63642 0.171994i 0.758790 0.651336i \(-0.225791\pi\)
0.877629 + 0.479341i \(0.159124\pi\)
\(102\) −6.08968 + 3.95469i −0.602968 + 0.391572i
\(103\) 5.35959 8.25304i 0.528096 0.813196i −0.469468 0.882949i \(-0.655554\pi\)
0.997564 + 0.0697529i \(0.0222211\pi\)
\(104\) 1.39625 + 1.01443i 0.136913 + 0.0994732i
\(105\) 3.78527 + 10.3043i 0.369405 + 1.00559i
\(106\) 2.49639 7.68310i 0.242471 0.746249i
\(107\) −0.810729 15.4696i −0.0783761 1.49550i −0.701100 0.713063i \(-0.747307\pi\)
0.622724 0.782442i \(-0.286026\pi\)
\(108\) −3.68722 2.98585i −0.354803 0.287313i
\(109\) −1.74617 1.00815i −0.167253 0.0965633i 0.414037 0.910260i \(-0.364118\pi\)
−0.581290 + 0.813697i \(0.697452\pi\)
\(110\) −7.04134 + 2.32800i −0.671365 + 0.221966i
\(111\) 5.72065i 0.542980i
\(112\) −0.108950 2.64351i −0.0102948 0.249788i
\(113\) −1.95365 + 3.83425i −0.183784 + 0.360696i −0.964455 0.264245i \(-0.914877\pi\)
0.780672 + 0.624941i \(0.214877\pi\)
\(114\) −1.07033 5.03549i −0.100245 0.471617i
\(115\) −3.62960 2.65542i −0.338462 0.247619i
\(116\) 6.48952 2.88932i 0.602537 0.268267i
\(117\) −0.641251 0.416433i −0.0592837 0.0384993i
\(118\) −4.11429 2.09634i −0.378751 0.192983i
\(119\) −10.1025 2.26556i −0.926090 0.207684i
\(120\) −4.00417 1.08710i −0.365529 0.0992383i
\(121\) −8.78866 + 6.61510i −0.798969 + 0.601373i
\(122\) 0.0993849 0.0266301i 0.00899789 0.00241098i
\(123\) 2.46011 3.03798i 0.221820 0.273925i
\(124\) 3.27033 3.63207i 0.293684 0.326169i
\(125\) −10.0116 + 4.97681i −0.895461 + 0.445139i
\(126\) 0.109495 + 1.16702i 0.00975460 + 0.103966i
\(127\) −2.15455 + 0.341247i −0.191185 + 0.0302807i −0.251293 0.967911i \(-0.580856\pi\)
0.0601075 + 0.998192i \(0.480856\pi\)
\(128\) 0.838671 + 0.544639i 0.0741287 + 0.0481397i
\(129\) −1.76594 0.375362i −0.155482 0.0330488i
\(130\) 3.80960 + 0.616287i 0.334124 + 0.0540519i
\(131\) 3.23637 1.86852i 0.282763 0.163253i −0.351910 0.936034i \(-0.614468\pi\)
0.634674 + 0.772780i \(0.281135\pi\)
\(132\) −6.14276 + 0.374000i −0.534658 + 0.0325525i
\(133\) 4.06635 6.11109i 0.352597 0.529899i
\(134\) 1.59006 + 2.18853i 0.137360 + 0.189060i
\(135\) −10.3700 2.24003i −0.892506 0.192791i
\(136\) 2.90808 2.61845i 0.249366 0.224530i
\(137\) 2.11811 5.51786i 0.180962 0.471423i −0.812853 0.582469i \(-0.802087\pi\)
0.993815 + 0.111046i \(0.0354201\pi\)
\(138\) −2.34857 2.90025i −0.199924 0.246885i
\(139\) 2.70239 8.31712i 0.229214 0.705449i −0.768622 0.639703i \(-0.779057\pi\)
0.997836 0.0657457i \(-0.0209426\pi\)
\(140\) −2.88359 5.16575i −0.243707 0.436585i
\(141\) −5.95525 + 4.32674i −0.501523 + 0.364378i
\(142\) −13.7679 3.68910i −1.15538 0.309582i
\(143\) 5.64577 0.943171i 0.472123 0.0788719i
\(144\) −0.383675 0.221515i −0.0319729 0.0184596i
\(145\) 10.0370 12.3113i 0.833529 1.02240i
\(146\) −11.4592 + 3.72331i −0.948367 + 0.308143i
\(147\) −8.39753 + 9.90908i −0.692617 + 0.817287i
\(148\) −0.482289 3.04505i −0.0396439 0.250302i
\(149\) −13.1396 1.38103i −1.07644 0.113138i −0.450320 0.892867i \(-0.648690\pi\)
−0.626117 + 0.779729i \(0.715357\pi\)
\(150\) −9.08751 + 1.86895i −0.741992 + 0.152599i
\(151\) −1.83875 0.390839i −0.149636 0.0318061i 0.132485 0.991185i \(-0.457704\pi\)
−0.282120 + 0.959379i \(0.591038\pi\)
\(152\) 0.994252 + 2.59012i 0.0806445 + 0.210086i
\(153\) −1.22589 + 1.22589i −0.0991071 + 0.0991071i
\(154\) −6.50508 5.88931i −0.524194 0.474574i
\(155\) 2.86339 10.5468i 0.229993 0.847142i
\(156\) 2.92553 + 1.30253i 0.234230 + 0.104286i
\(157\) 7.55327 + 11.6310i 0.602817 + 0.928256i 0.999945 + 0.0104933i \(0.00334018\pi\)
−0.397128 + 0.917763i \(0.629993\pi\)
\(158\) −0.704485 + 13.4424i −0.0560458 + 1.06942i
\(159\) 1.56688 14.9079i 0.124262 1.18227i
\(160\) 2.22303 + 0.241077i 0.175746 + 0.0190588i
\(161\) 0.615290 5.28552i 0.0484917 0.416558i
\(162\) −9.02840 4.60020i −0.709338 0.361426i
\(163\) 6.43336 + 16.7595i 0.503900 + 1.31270i 0.915859 + 0.401501i \(0.131511\pi\)
−0.411959 + 0.911202i \(0.635155\pi\)
\(164\) −1.05337 + 1.82449i −0.0822545 + 0.142469i
\(165\) −11.8819 + 6.94177i −0.925001 + 0.540416i
\(166\) −5.53371 + 3.19489i −0.429499 + 0.247971i
\(167\) −24.0466 3.80860i −1.86078 0.294718i −0.877882 0.478877i \(-0.841044\pi\)
−0.982896 + 0.184159i \(0.941044\pi\)
\(168\) −1.21758 4.75591i −0.0939381 0.366927i
\(169\) 9.53094 + 3.09679i 0.733150 + 0.238215i
\(170\) 3.16275 8.15861i 0.242572 0.625737i
\(171\) −0.499935 1.12287i −0.0382310 0.0858681i
\(172\) 0.971639 + 0.0509215i 0.0740868 + 0.00388272i
\(173\) 0.261984 + 4.99896i 0.0199183 + 0.380064i 0.990341 + 0.138652i \(0.0442770\pi\)
−0.970423 + 0.241412i \(0.922390\pi\)
\(174\) 10.6638 7.74768i 0.808418 0.587350i
\(175\) −10.9648 7.40096i −0.828858 0.559460i
\(176\) 3.23821 0.716952i 0.244089 0.0540423i
\(177\) −8.27615 2.21759i −0.622073 0.166684i
\(178\) 7.30380 + 5.91450i 0.547443 + 0.443311i
\(179\) −5.22223 + 24.5686i −0.390327 + 1.83635i 0.142076 + 0.989856i \(0.454622\pi\)
−0.532404 + 0.846491i \(0.678711\pi\)
\(180\) −0.989110 0.0551136i −0.0737239 0.00410792i
\(181\) −7.32503 + 10.0820i −0.544465 + 0.749392i −0.989248 0.146247i \(-0.953281\pi\)
0.444783 + 0.895638i \(0.353281\pi\)
\(182\) 1.58866 + 4.28091i 0.117759 + 0.317322i
\(183\) 0.170109 0.0866750i 0.0125748 0.00640720i
\(184\) 1.49464 + 1.34578i 0.110186 + 0.0992119i
\(185\) −4.03364 5.59057i −0.296559 0.411027i
\(186\) 4.53441 7.85383i 0.332479 0.575870i
\(187\) 0.569711 12.9661i 0.0416614 0.948177i
\(188\) 2.80516 2.80516i 0.204587 0.204587i
\(189\) −3.74549 11.9811i −0.272444 0.871499i
\(190\) 4.59653 + 4.16631i 0.333467 + 0.302256i
\(191\) −7.87873 + 1.67468i −0.570085 + 0.121175i −0.483930 0.875106i \(-0.660791\pi\)
−0.0861546 + 0.996282i \(0.527458\pi\)
\(192\) 1.73230 + 0.664966i 0.125018 + 0.0479898i
\(193\) −8.84518 3.39535i −0.636690 0.244402i 0.0185445 0.999828i \(-0.494097\pi\)
−0.655234 + 0.755426i \(0.727430\pi\)
\(194\) 5.73150 1.21827i 0.411498 0.0874666i
\(195\) 7.15215 0.351144i 0.512176 0.0251460i
\(196\) 3.63453 5.98249i 0.259610 0.427321i
\(197\) −12.7709 + 12.7709i −0.909888 + 0.909888i −0.996263 0.0863745i \(-0.972472\pi\)
0.0863745 + 0.996263i \(0.472472\pi\)
\(198\) −1.41603 + 0.392278i −0.100633 + 0.0278780i
\(199\) 11.1994 19.3980i 0.793908 1.37509i −0.129623 0.991563i \(-0.541377\pi\)
0.923530 0.383525i \(-0.125290\pi\)
\(200\) 4.67964 1.76096i 0.330900 0.124519i
\(201\) 3.73026 + 3.35874i 0.263112 + 0.236907i
\(202\) −14.7340 + 7.50736i −1.03668 + 0.528216i
\(203\) 18.5291 + 3.14726i 1.30049 + 0.220894i
\(204\) 4.26798 5.87436i 0.298818 0.411288i
\(205\) −0.262082 + 4.70353i −0.0183046 + 0.328508i
\(206\) −2.04598 + 9.62558i −0.142550 + 0.670646i
\(207\) −0.692464 0.560746i −0.0481296 0.0389746i
\(208\) −1.66705 0.446684i −0.115589 0.0309720i
\(209\) 8.43741 + 3.67147i 0.583628 + 0.253961i
\(210\) −7.22657 8.26334i −0.498681 0.570224i
\(211\) −3.92271 + 2.85002i −0.270051 + 0.196203i −0.714566 0.699568i \(-0.753376\pi\)
0.444515 + 0.895771i \(0.353376\pi\)
\(212\) 0.422796 + 8.06742i 0.0290377 + 0.554073i
\(213\) −26.4119 1.38419i −1.80971 0.0948429i
\(214\) 6.30070 + 14.1516i 0.430707 + 0.967383i
\(215\) 1.99045 0.878340i 0.135748 0.0599023i
\(216\) 4.51235 + 1.46615i 0.307026 + 0.0997589i
\(217\) 12.5269 3.20706i 0.850382 0.217709i
\(218\) 1.99148 + 0.315419i 0.134880 + 0.0213629i
\(219\) −19.3619 + 11.1786i −1.30836 + 0.755379i
\(220\) 5.73937 4.69677i 0.386948 0.316656i
\(221\) −3.37681 + 5.84881i −0.227149 + 0.393434i
\(222\) −2.05010 5.34069i −0.137594 0.358443i
\(223\) 22.5547 + 11.4922i 1.51038 + 0.769575i 0.996115 0.0880598i \(-0.0280667\pi\)
0.514260 + 0.857634i \(0.328067\pi\)
\(224\) 1.04906 + 2.42888i 0.0700934 + 0.162287i
\(225\) −2.02955 + 0.887594i −0.135303 + 0.0591729i
\(226\) 0.449815 4.27971i 0.0299213 0.284682i
\(227\) −0.436443 + 8.32782i −0.0289677 + 0.552737i 0.945142 + 0.326660i \(0.105923\pi\)
−0.974110 + 0.226077i \(0.927410\pi\)
\(228\) 2.80380 + 4.31747i 0.185686 + 0.285931i
\(229\) −3.92484 1.74745i −0.259361 0.115475i 0.272937 0.962032i \(-0.412005\pi\)
−0.532298 + 0.846557i \(0.678672\pi\)
\(230\) 4.34014 + 1.17832i 0.286180 + 0.0776958i
\(231\) −14.0787 8.17947i −0.926310 0.538169i
\(232\) −5.02305 + 5.02305i −0.329779 + 0.329779i
\(233\) −2.30419 6.00262i −0.150953 0.393245i 0.837164 0.546952i \(-0.184212\pi\)
−0.988116 + 0.153707i \(0.950879\pi\)
\(234\) 0.747896 + 0.158970i 0.0488915 + 0.0103922i
\(235\) 2.76904 8.42742i 0.180632 0.549744i
\(236\) 4.59228 + 0.482668i 0.298932 + 0.0314190i
\(237\) 3.90728 + 24.6696i 0.253805 + 1.60246i
\(238\) 10.2434 1.50531i 0.663978 0.0975748i
\(239\) −25.5293 + 8.29498i −1.65135 + 0.536557i −0.979033 0.203702i \(-0.934703\pi\)
−0.672321 + 0.740260i \(0.734703\pi\)
\(240\) 4.12779 0.420069i 0.266448 0.0271153i
\(241\) −20.9497 12.0953i −1.34949 0.779128i −0.361312 0.932445i \(-0.617671\pi\)
−0.988177 + 0.153317i \(0.951005\pi\)
\(242\) 5.83428 9.32530i 0.375042 0.599453i
\(243\) −4.41250 1.18233i −0.283062 0.0758463i
\(244\) −0.0832405 + 0.0604777i −0.00532892 + 0.00387169i
\(245\) 1.21967 15.6049i 0.0779220 0.996959i
\(246\) −1.20799 + 3.71782i −0.0770188 + 0.237040i
\(247\) −3.01331 3.72112i −0.191732 0.236769i
\(248\) −1.75150 + 4.56281i −0.111220 + 0.289738i
\(249\) −8.81109 + 7.93354i −0.558380 + 0.502768i
\(250\) 7.56307 8.23408i 0.478330 0.520769i
\(251\) 14.2304 + 19.5865i 0.898217 + 1.23629i 0.971033 + 0.238945i \(0.0768015\pi\)
−0.0728158 + 0.997345i \(0.523199\pi\)
\(252\) −0.520445 1.05027i −0.0327850 0.0661607i
\(253\) 6.65817 0.405380i 0.418595 0.0254860i
\(254\) 1.88915 1.09070i 0.118536 0.0684367i
\(255\) 2.59288 16.0280i 0.162372 1.00371i
\(256\) −0.978148 0.207912i −0.0611342 0.0129945i
\(257\) −7.96688 5.17375i −0.496960 0.322730i 0.271705 0.962380i \(-0.412412\pi\)
−0.768666 + 0.639651i \(0.779079\pi\)
\(258\) 1.78316 0.282425i 0.111015 0.0175830i
\(259\) 3.40072 7.41416i 0.211311 0.460694i
\(260\) −3.77743 + 0.789885i −0.234266 + 0.0489866i
\(261\) 2.10584 2.33878i 0.130348 0.144767i
\(262\) −2.35180 + 2.90423i −0.145294 + 0.179424i
\(263\) −0.684492 + 0.183409i −0.0422076 + 0.0113095i −0.279861 0.960041i \(-0.590288\pi\)
0.237653 + 0.971350i \(0.423622\pi\)
\(264\) 5.60073 2.55053i 0.344701 0.156974i
\(265\) 8.98031 + 15.6737i 0.551656 + 0.962827i
\(266\) −1.60624 + 7.16245i −0.0984849 + 0.439158i
\(267\) 15.5381 + 7.91705i 0.950915 + 0.484516i
\(268\) −2.26875 1.47334i −0.138586 0.0899987i
\(269\) −28.5296 + 12.7022i −1.73948 + 0.774467i −0.745301 + 0.666728i \(0.767694\pi\)
−0.994179 + 0.107739i \(0.965639\pi\)
\(270\) 10.4840 1.62502i 0.638034 0.0988955i
\(271\) −2.46081 11.5772i −0.149484 0.703265i −0.987500 0.157620i \(-0.949618\pi\)
0.838016 0.545645i \(-0.183715\pi\)
\(272\) −1.77656 + 3.48669i −0.107720 + 0.211412i
\(273\) 4.53493 + 7.15693i 0.274466 + 0.433157i
\(274\) 5.91043i 0.357062i
\(275\) 6.71702 15.1618i 0.405052 0.914294i
\(276\) 3.23194 + 1.86596i 0.194540 + 0.112318i
\(277\) 2.88486 + 2.33611i 0.173334 + 0.140363i 0.712062 0.702117i \(-0.247761\pi\)
−0.538728 + 0.842480i \(0.681095\pi\)
\(278\) 0.457685 + 8.73315i 0.0274501 + 0.523779i
\(279\) 0.669106 2.05930i 0.0400584 0.123287i
\(280\) 4.54330 + 3.78926i 0.271514 + 0.226451i
\(281\) −16.1699 11.7481i −0.964617 0.700835i −0.0103988 0.999946i \(-0.503310\pi\)
−0.954218 + 0.299110i \(0.903310\pi\)
\(282\) 4.00914 6.17353i 0.238741 0.367629i
\(283\) 8.23530 5.34807i 0.489538 0.317909i −0.276158 0.961112i \(-0.589061\pi\)
0.765696 + 0.643203i \(0.222395\pi\)
\(284\) 14.1755 1.48991i 0.841162 0.0884096i
\(285\) 9.94998 + 5.78852i 0.589386 + 0.342883i
\(286\) −4.93278 + 2.90379i −0.291681 + 0.171705i
\(287\) −4.99435 + 2.47488i −0.294807 + 0.146088i
\(288\) 0.437575 + 0.0693051i 0.0257844 + 0.00408384i
\(289\) −1.25355 1.12870i −0.0737379 0.0663939i
\(290\) −4.95838 + 15.0906i −0.291166 + 0.886148i
\(291\) 9.93264 4.42230i 0.582262 0.259240i
\(292\) 9.36374 7.58261i 0.547971 0.443738i
\(293\) 4.32147 + 8.48136i 0.252463 + 0.495487i 0.982103 0.188345i \(-0.0603123\pi\)
−0.729640 + 0.683832i \(0.760312\pi\)
\(294\) 4.28868 12.2603i 0.250121 0.715037i
\(295\) 9.65159 3.66837i 0.561937 0.213581i
\(296\) 1.54151 + 2.66997i 0.0895982 + 0.155189i
\(297\) 13.9600 7.26218i 0.810039 0.421394i
\(298\) 12.7618 3.41951i 0.739270 0.198087i
\(299\) −3.17100 1.41182i −0.183384 0.0816476i
\(300\) 7.81414 5.00149i 0.451150 0.288761i
\(301\) 2.06558 + 1.53627i 0.119058 + 0.0885490i
\(302\) 1.85669 0.294071i 0.106840 0.0169219i
\(303\) −23.8459 + 19.3100i −1.36991 + 1.10933i
\(304\) −1.85643 2.06177i −0.106473 0.118251i
\(305\) −0.105127 + 0.204649i −0.00601953 + 0.0117181i
\(306\) 0.705145 1.58378i 0.0403105 0.0905388i
\(307\) −13.7936 13.7936i −0.787241 0.787241i 0.193800 0.981041i \(-0.437919\pi\)
−0.981041 + 0.193800i \(0.937919\pi\)
\(308\) 8.18355 + 3.16693i 0.466301 + 0.180453i
\(309\) 18.2597i 1.03876i
\(310\) 1.10645 + 10.8725i 0.0628419 + 0.617514i
\(311\) −0.738549 + 3.47460i −0.0418793 + 0.197027i −0.994114 0.108341i \(-0.965446\pi\)
0.952234 + 0.305368i \(0.0987794\pi\)
\(312\) −3.19800 0.167600i −0.181051 0.00948849i
\(313\) −16.5187 20.3988i −0.933690 1.15301i −0.987995 0.154487i \(-0.950628\pi\)
0.0543051 0.998524i \(-0.482706\pi\)
\(314\) −11.2198 8.15164i −0.633168 0.460024i
\(315\) −2.09791 1.57111i −0.118204 0.0885219i
\(316\) −4.15962 12.8020i −0.233997 0.720169i
\(317\) 25.7020 9.86607i 1.44357 0.554134i 0.494492 0.869182i \(-0.335354\pi\)
0.949076 + 0.315049i \(0.102021\pi\)
\(318\) 3.87969 + 14.4792i 0.217562 + 0.811953i
\(319\) 0.199074 + 23.5594i 0.0111460 + 1.31907i
\(320\) −2.16178 + 0.571600i −0.120847 + 0.0319534i
\(321\) 16.8952 + 23.2543i 0.943000 + 1.29793i
\(322\) 1.31974 + 5.15496i 0.0735462 + 0.287275i
\(323\) −9.67344 + 4.92887i −0.538245 + 0.274249i
\(324\) 10.0773 + 1.05917i 0.559850 + 0.0588426i
\(325\) −6.74193 + 5.38616i −0.373975 + 0.298770i
\(326\) −12.0121 13.3408i −0.665290 0.738879i
\(327\) 3.73620 0.195806i 0.206612 0.0108281i
\(328\) 0.329567 2.08081i 0.0181973 0.114893i
\(329\) 10.2903 2.06742i 0.567323 0.113981i
\(330\) 8.60496 10.7388i 0.473687 0.591150i
\(331\) 7.81544 + 13.5367i 0.429575 + 0.744047i 0.996835 0.0794922i \(-0.0253299\pi\)
−0.567260 + 0.823539i \(0.691997\pi\)
\(332\) 4.02122 4.96579i 0.220693 0.272533i
\(333\) −0.743903 1.14551i −0.0407656 0.0627736i
\(334\) 23.8143 5.06188i 1.30306 0.276974i
\(335\) −6.01369 0.652154i −0.328563 0.0356310i
\(336\) 2.84107 + 4.00369i 0.154993 + 0.218419i
\(337\) −9.27371 18.2007i −0.505171 0.991454i −0.992955 0.118490i \(-0.962195\pi\)
0.487784 0.872964i \(-0.337805\pi\)
\(338\) −10.0077 + 0.524481i −0.544347 + 0.0285280i
\(339\) −0.834651 7.94117i −0.0453320 0.431305i
\(340\) −0.0289016 + 8.75015i −0.00156741 + 0.474543i
\(341\) 6.71799 + 14.7521i 0.363800 + 0.798872i
\(342\) 0.869130 + 0.869130i 0.0469972 + 0.0469972i
\(343\) 16.7741 7.85048i 0.905716 0.423886i
\(344\) −0.925352 + 0.300665i −0.0498916 + 0.0162108i
\(345\) 8.33190 + 0.464257i 0.448575 + 0.0249948i
\(346\) −2.03605 4.57304i −0.109459 0.245848i
\(347\) 1.72345 4.48975i 0.0925199 0.241023i −0.879510 0.475881i \(-0.842129\pi\)
0.972030 + 0.234858i \(0.0754626\pi\)
\(348\) −7.17896 + 11.0546i −0.384833 + 0.592590i
\(349\) −4.37694 13.4708i −0.234292 0.721078i −0.997214 0.0745873i \(-0.976236\pi\)
0.762922 0.646490i \(-0.223764\pi\)
\(350\) 12.8887 + 2.97997i 0.688932 + 0.159286i
\(351\) −8.18842 −0.437066
\(352\) −2.76619 + 1.82980i −0.147439 + 0.0975288i
\(353\) −0.730726 2.72711i −0.0388926 0.145149i 0.943749 0.330662i \(-0.107272\pi\)
−0.982642 + 0.185513i \(0.940605\pi\)
\(354\) 8.52116 0.895610i 0.452895 0.0476011i
\(355\) 26.7873 17.2703i 1.42172 0.916615i
\(356\) −8.93825 2.90421i −0.473726 0.153923i
\(357\) 18.0109 6.68390i 0.953237 0.353749i
\(358\) −3.92925 24.8083i −0.207667 1.31116i
\(359\) −6.54467 30.7903i −0.345415 1.62505i −0.717297 0.696768i \(-0.754621\pi\)
0.371882 0.928280i \(-0.378713\pi\)
\(360\) 0.943164 0.303012i 0.0497091 0.0159701i
\(361\) 1.18146 + 11.2408i 0.0621821 + 0.591624i
\(362\) 3.22542 12.0374i 0.169524 0.632674i
\(363\) 6.99158 19.1761i 0.366963 1.00649i
\(364\) −3.01728 3.42725i −0.158148 0.179637i
\(365\) 11.0396 24.5765i 0.577838 1.28639i
\(366\) −0.127749 + 0.141880i −0.00667756 + 0.00741618i
\(367\) 0.0740417 1.41280i 0.00386495 0.0737476i −0.996016 0.0891741i \(-0.971577\pi\)
0.999881 + 0.0154265i \(0.00491059\pi\)
\(368\) −1.87765 0.720761i −0.0978791 0.0375722i
\(369\) −0.0975616 + 0.928236i −0.00507885 + 0.0483221i
\(370\) 5.76921 + 3.77372i 0.299927 + 0.196186i
\(371\) −10.8929 + 18.3896i −0.565532 + 0.954743i
\(372\) −1.41868 + 8.95716i −0.0735549 + 0.464407i
\(373\) −9.95579 + 37.1555i −0.515491 + 1.92384i −0.169869 + 0.985467i \(0.554335\pi\)
−0.345622 + 0.938374i \(0.612332\pi\)
\(374\) 4.11477 + 12.3091i 0.212770 + 0.636488i
\(375\) 10.5503 17.8625i 0.544815 0.922417i
\(376\) −1.61356 + 3.62412i −0.0832130 + 0.186900i
\(377\) 5.56587 10.9236i 0.286657 0.562596i
\(378\) 7.79036 + 9.84308i 0.400693 + 0.506274i
\(379\) −9.97983 + 13.7361i −0.512630 + 0.705574i −0.984360 0.176169i \(-0.943630\pi\)
0.471730 + 0.881743i \(0.343630\pi\)
\(380\) −5.78430 2.24233i −0.296728 0.115029i
\(381\) 3.00801 2.70843i 0.154105 0.138757i
\(382\) 6.75528 4.38693i 0.345630 0.224455i
\(383\) −21.0293 + 8.07239i −1.07455 + 0.412480i −0.830348 0.557245i \(-0.811858\pi\)
−0.244199 + 0.969725i \(0.578525\pi\)
\(384\) −1.85554 −0.0946901
\(385\) 19.5259 1.93344i 0.995133 0.0985372i
\(386\) 9.47447 0.482238
\(387\) 0.402425 0.154476i 0.0204564 0.00785248i
\(388\) −4.91423 + 3.19134i −0.249482 + 0.162016i
\(389\) 17.7343 15.9681i 0.899166 0.809613i −0.0832089 0.996532i \(-0.526517\pi\)
0.982375 + 0.186919i \(0.0598502\pi\)
\(390\) −6.55127 + 2.89092i −0.331736 + 0.146388i
\(391\) −4.62608 + 6.36726i −0.233951 + 0.322006i
\(392\) −1.24920 + 6.88763i −0.0630940 + 0.347878i
\(393\) −3.14807 + 6.17844i −0.158799 + 0.311661i
\(394\) 7.34598 16.4993i 0.370085 0.831224i
\(395\) −21.2130 21.3536i −1.06734 1.07442i
\(396\) 1.18140 0.873683i 0.0593675 0.0439042i
\(397\) −7.67053 + 28.6268i −0.384973 + 1.43674i 0.453237 + 0.891390i \(0.350269\pi\)
−0.838210 + 0.545348i \(0.816398\pi\)
\(398\) −3.50396 + 22.1231i −0.175638 + 1.10893i
\(399\) −0.152124 + 13.6195i −0.00761572 + 0.681825i
\(400\) −3.73774 + 3.32103i −0.186887 + 0.166052i
\(401\) 1.88778 17.9611i 0.0942714 0.896932i −0.840531 0.541764i \(-0.817757\pi\)
0.934802 0.355169i \(-0.115577\pi\)
\(402\) −4.68616 1.79885i −0.233724 0.0897184i
\(403\) 0.441453 8.42342i 0.0219903 0.419601i
\(404\) 11.0650 12.2889i 0.550505 0.611397i
\(405\) 21.1795 8.04987i 1.05242 0.400001i
\(406\) −18.4263 + 3.70203i −0.914483 + 0.183729i
\(407\) 9.89878 + 2.56292i 0.490665 + 0.127039i
\(408\) −1.87931 + 7.01370i −0.0930399 + 0.347230i
\(409\) −1.22800 11.6836i −0.0607206 0.577718i −0.982009 0.188837i \(-0.939528\pi\)
0.921288 0.388881i \(-0.127138\pi\)
\(410\) −1.44092 4.48504i −0.0711619 0.221500i
\(411\) 2.28018 + 10.7274i 0.112473 + 0.529143i
\(412\) −1.53941 9.71947i −0.0758414 0.478844i
\(413\) 9.40790 + 7.79394i 0.462932 + 0.383515i
\(414\) 0.847424 + 0.275345i 0.0416486 + 0.0135325i
\(415\) 3.01678 13.9659i 0.148088 0.685557i
\(416\) 1.71640 0.180401i 0.0841534 0.00884488i
\(417\) 4.19984 + 15.6740i 0.205667 + 0.767560i
\(418\) −9.19274 0.403914i −0.449631 0.0197561i
\(419\) −28.1072 −1.37313 −0.686563 0.727070i \(-0.740882\pi\)
−0.686563 + 0.727070i \(0.740882\pi\)
\(420\) 9.70790 + 5.12472i 0.473697 + 0.250061i
\(421\) 3.32754 + 10.2411i 0.162174 + 0.499121i 0.998817 0.0486277i \(-0.0154848\pi\)
−0.836643 + 0.547749i \(0.815485\pi\)
\(422\) 2.64081 4.06650i 0.128553 0.197954i
\(423\) 0.629845 1.64080i 0.0306241 0.0797786i
\(424\) −3.28582 7.38007i −0.159573 0.358408i
\(425\) 8.76744 + 17.4918i 0.425283 + 0.848475i
\(426\) 25.1536 8.17292i 1.21870 0.395979i
\(427\) −0.271993 + 0.0112099i −0.0131627 + 0.000542486i
\(428\) −10.9537 10.9537i −0.529466 0.529466i
\(429\) −7.83271 + 7.17336i −0.378167 + 0.346333i
\(430\) −1.54348 + 1.53332i −0.0744331 + 0.0739430i
\(431\) 3.91041 + 37.2050i 0.188358 + 1.79210i 0.525647 + 0.850703i \(0.323823\pi\)
−0.337289 + 0.941401i \(0.609510\pi\)
\(432\) −4.73806 + 0.248311i −0.227960 + 0.0119469i
\(433\) −1.54363 3.02954i −0.0741819 0.145590i 0.850937 0.525268i \(-0.176035\pi\)
−0.925119 + 0.379678i \(0.876035\pi\)
\(434\) −10.5456 + 7.48329i −0.506203 + 0.359209i
\(435\) −3.17766 + 29.3021i −0.152357 + 1.40493i
\(436\) −1.97224 + 0.419213i −0.0944532 + 0.0200766i
\(437\) −3.03905 4.67973i −0.145378 0.223862i
\(438\) 14.0698 17.3748i 0.672282 0.830200i
\(439\) 1.58493 + 2.74519i 0.0756448 + 0.131021i 0.901366 0.433057i \(-0.142565\pi\)
−0.825722 + 0.564078i \(0.809232\pi\)
\(440\) −3.67499 + 6.44162i −0.175199 + 0.307092i
\(441\) 0.392974 3.07621i 0.0187130 0.146486i
\(442\) 1.05650 6.67048i 0.0502526 0.317282i
\(443\) 10.9509 0.573914i 0.520294 0.0272675i 0.209618 0.977783i \(-0.432778\pi\)
0.310676 + 0.950516i \(0.399445\pi\)
\(444\) 3.82786 + 4.25127i 0.181662 + 0.201756i
\(445\) −20.7671 + 3.21891i −0.984455 + 0.152591i
\(446\) −25.1751 2.64601i −1.19207 0.125292i
\(447\) 21.8433 11.1297i 1.03315 0.526418i
\(448\) −1.84982 1.89161i −0.0873956 0.0893700i
\(449\) 1.47825 + 2.03464i 0.0697630 + 0.0960205i 0.842473 0.538739i \(-0.181099\pi\)
−0.772710 + 0.634760i \(0.781099\pi\)
\(450\) 1.57666 1.55596i 0.0743244 0.0733489i
\(451\) −4.15464 5.61792i −0.195634 0.264538i
\(452\) 1.11377 + 4.15665i 0.0523874 + 0.195512i
\(453\) 3.25643 1.25003i 0.153000 0.0587313i
\(454\) −2.57697 7.93110i −0.120943 0.372225i
\(455\) −9.47818 3.79660i −0.444344 0.177987i
\(456\) −4.16481 3.02591i −0.195035 0.141701i
\(457\) 14.8112 + 18.2903i 0.692837 + 0.855583i 0.995226 0.0976020i \(-0.0311172\pi\)
−0.302388 + 0.953185i \(0.597784\pi\)
\(458\) 4.29039 + 0.224850i 0.200477 + 0.0105065i
\(459\) −3.86018 + 18.1607i −0.180178 + 0.847670i
\(460\) −4.47414 + 0.455315i −0.208608 + 0.0212292i
\(461\) 18.7113i 0.871470i −0.900075 0.435735i \(-0.856488\pi\)
0.900075 0.435735i \(-0.143512\pi\)
\(462\) 16.0749 + 2.59084i 0.747870 + 0.120537i
\(463\) 20.8341 + 20.8341i 0.968241 + 0.968241i 0.999511 0.0312701i \(-0.00995519\pi\)
−0.0312701 + 0.999511i \(0.509955\pi\)
\(464\) 2.88932 6.48952i 0.134133 0.301268i
\(465\) 6.20266 + 19.3066i 0.287642 + 0.895321i
\(466\) 4.30229 + 4.77818i 0.199300 + 0.221345i
\(467\) −12.0761 + 9.77902i −0.558815 + 0.452519i −0.866647 0.498921i \(-0.833730\pi\)
0.307833 + 0.951440i \(0.400396\pi\)
\(468\) −0.755191 + 0.119610i −0.0349087 + 0.00552899i
\(469\) −2.83789 6.57055i −0.131042 0.303400i
\(470\) 0.434994 + 8.86001i 0.0200648 + 0.408682i
\(471\) −23.5086 10.4667i −1.08322 0.482280i
\(472\) −4.46024 + 1.19512i −0.205299 + 0.0550097i
\(473\) −1.44067 + 2.88754i −0.0662422 + 0.132769i
\(474\) −12.4885 21.6308i −0.573618 0.993535i
\(475\) −13.8052 + 1.35885i −0.633427 + 0.0623482i
\(476\) −9.02354 + 5.07622i −0.413593 + 0.232668i
\(477\) 1.62484 + 3.18892i 0.0743962 + 0.146011i
\(478\) 20.8610 16.8929i 0.954161 0.772664i
\(479\) 34.7301 15.4628i 1.58686 0.706514i 0.591825 0.806067i \(-0.298408\pi\)
0.995032 + 0.0995523i \(0.0317411\pi\)
\(480\) −3.70309 + 1.87144i −0.169022 + 0.0854190i
\(481\) −3.95414 3.56033i −0.180293 0.162337i
\(482\) 23.8928 + 3.78425i 1.08829 + 0.172368i
\(483\) 4.38404 + 8.84708i 0.199481 + 0.402556i
\(484\) −2.10488 + 10.7967i −0.0956763 + 0.490761i
\(485\) −6.58862 + 11.3253i −0.299174 + 0.514254i
\(486\) 4.54313 0.477502i 0.206081 0.0216600i
\(487\) −15.8996 + 10.3253i −0.720480 + 0.467885i −0.852076 0.523418i \(-0.824657\pi\)
0.131596 + 0.991303i \(0.457990\pi\)
\(488\) 0.0560384 0.0862915i 0.00253674 0.00390623i
\(489\) −26.9486 19.5793i −1.21866 0.885408i
\(490\) 4.45363 + 15.0055i 0.201194 + 0.677880i
\(491\) 5.97651 18.3938i 0.269716 0.830101i −0.720853 0.693088i \(-0.756250\pi\)
0.990569 0.137013i \(-0.0437502\pi\)
\(492\) −0.204589 3.90379i −0.00922358 0.175996i
\(493\) −21.6032 17.4939i −0.972959 0.787887i
\(494\) 4.14669 + 2.39410i 0.186569 + 0.107715i
\(495\) 1.47654 2.93512i 0.0663656 0.131924i
\(496\) 4.88743i 0.219452i
\(497\) 33.4078 + 17.4949i 1.49855 + 0.784752i
\(498\) 5.38273 10.5642i 0.241206 0.473394i
\(499\) 7.65189 + 35.9993i 0.342546 + 1.61155i 0.725798 + 0.687908i \(0.241471\pi\)
−0.383252 + 0.923644i \(0.625196\pi\)
\(500\) −4.10990 + 10.3975i −0.183800 + 0.464992i
\(501\) 41.2699 18.3745i 1.84380 0.820914i
\(502\) −20.3044 13.1859i −0.906232 0.588514i
\(503\) 7.72665 + 3.93692i 0.344514 + 0.175539i 0.617683 0.786427i \(-0.288072\pi\)
−0.273168 + 0.961966i \(0.588072\pi\)
\(504\) 0.862260 + 0.793999i 0.0384081 + 0.0353675i
\(505\) 9.68814 35.6847i 0.431116 1.58795i
\(506\) −6.07066 + 2.76453i −0.269874 + 0.122898i
\(507\) −17.9615 + 4.81278i −0.797700 + 0.213743i
\(508\) −1.37280 + 1.69527i −0.0609082 + 0.0752154i
\(509\) −12.7088 + 14.1146i −0.563308 + 0.625617i −0.955757 0.294157i \(-0.904961\pi\)
0.392449 + 0.919774i \(0.371628\pi\)
\(510\) 3.32325 + 15.8926i 0.147156 + 0.703736i
\(511\) 31.7389 2.97789i 1.40405 0.131734i
\(512\) 0.987688 0.156434i 0.0436501 0.00691349i
\(513\) −11.0396 7.16922i −0.487412 0.316529i
\(514\) 9.29183 + 1.97504i 0.409845 + 0.0871153i
\(515\) −12.8749 17.8445i −0.567338 0.786322i
\(516\) −1.56351 + 0.902695i −0.0688298 + 0.0397389i
\(517\) 4.81879 + 12.2432i 0.211930 + 0.538454i
\(518\) −0.517850 + 8.14043i −0.0227530 + 0.357670i
\(519\) −5.45964 7.51455i −0.239652 0.329852i
\(520\) 3.24346 2.09113i 0.142235 0.0917021i
\(521\) 4.66806 4.20314i 0.204511 0.184143i −0.560510 0.828148i \(-0.689395\pi\)
0.765022 + 0.644005i \(0.222728\pi\)
\(522\) −1.12783 + 2.93810i −0.0493638 + 0.128597i
\(523\) −0.0146199 0.0180541i −0.000639285 0.000789451i 0.776826 0.629715i \(-0.216828\pi\)
−0.777466 + 0.628926i \(0.783495\pi\)
\(524\) 1.15481 3.55414i 0.0504481 0.155263i
\(525\) 24.5426 + 0.436293i 1.07113 + 0.0190414i
\(526\) 0.573300 0.416527i 0.0249971 0.0181614i
\(527\) −18.4738 4.95005i −0.804732 0.215627i
\(528\) −4.31470 + 4.38824i −0.187773 + 0.190974i
\(529\) 16.4155 + 9.47748i 0.713716 + 0.412064i
\(530\) −14.0008 11.4144i −0.608155 0.495809i
\(531\) 1.94560 0.632163i 0.0844317 0.0274335i
\(532\) −1.06724 7.26234i −0.0462706 0.314863i
\(533\) 0.568785 + 3.59117i 0.0246368 + 0.155551i
\(534\) −17.3433 1.82285i −0.750517 0.0788825i
\(535\) −32.9077 10.8127i −1.42273 0.467472i
\(536\) 2.64606 + 0.562437i 0.114292 + 0.0242936i
\(537\) −16.7023 43.5110i −0.720757 1.87764i
\(538\) 22.0826 22.0826i 0.952049 0.952049i
\(539\) 13.3841 + 18.9701i 0.576493 + 0.817102i
\(540\) −9.20527 + 5.27421i −0.396132 + 0.226966i
\(541\) −24.5660 10.9375i −1.05618 0.470240i −0.196195 0.980565i \(-0.562859\pi\)
−0.859982 + 0.510325i \(0.829525\pi\)
\(542\) 6.44626 + 9.92637i 0.276891 + 0.426374i
\(543\) 1.21021 23.0922i 0.0519351 0.990981i
\(544\) 0.409042 3.89177i 0.0175375 0.166858i
\(545\) −3.51318 + 2.82576i −0.150488 + 0.121042i
\(546\) −6.79853 5.05639i −0.290950 0.216394i
\(547\) −16.0739 8.19007i −0.687271 0.350182i 0.0752326 0.997166i \(-0.476030\pi\)
−0.762504 + 0.646984i \(0.776030\pi\)
\(548\) −2.11811 5.51786i −0.0904811 0.235711i
\(549\) −0.0227918 + 0.0394766i −0.000972732 + 0.00168482i
\(550\) −0.837359 + 16.5620i −0.0357051 + 0.706205i
\(551\) 17.0679 9.85417i 0.727118 0.419802i
\(552\) −3.68597 0.583801i −0.156885 0.0248482i
\(553\) 9.60122 34.2954i 0.408285 1.45839i
\(554\) −3.53044 1.14711i −0.149994 0.0487360i
\(555\) 11.9269 + 4.62358i 0.506270 + 0.196260i
\(556\) −3.55697 7.98908i −0.150849 0.338812i
\(557\) 40.0167 + 2.09719i 1.69556 + 0.0888607i 0.875440 0.483327i \(-0.160572\pi\)
0.820123 + 0.572187i \(0.193905\pi\)
\(558\) 0.113322 + 2.16231i 0.00479729 + 0.0915377i
\(559\) 1.35851 0.987014i 0.0574588 0.0417462i
\(560\) −5.59948 1.90940i −0.236621 0.0806870i
\(561\) 12.2170 + 20.7535i 0.515802 + 0.876212i
\(562\) 19.3061 + 5.17305i 0.814378 + 0.218212i
\(563\) 24.4963 + 19.8367i 1.03240 + 0.836018i 0.986637 0.162934i \(-0.0520959\pi\)
0.0457595 + 0.998952i \(0.485429\pi\)
\(564\) −1.53046 + 7.20024i −0.0644439 + 0.303185i
\(565\) 6.41501 + 7.17209i 0.269881 + 0.301732i
\(566\) −5.77174 + 7.94412i −0.242604 + 0.333916i
\(567\) 20.6447 + 17.1030i 0.866996 + 0.718260i
\(568\) −12.7000 + 6.47099i −0.532882 + 0.271517i
\(569\) 28.9289 + 26.0477i 1.21276 + 1.09198i 0.993205 + 0.116376i \(0.0371278\pi\)
0.219557 + 0.975600i \(0.429539\pi\)
\(570\) −11.3635 1.83830i −0.475966 0.0769979i
\(571\) 1.18106 2.04565i 0.0494256 0.0856077i −0.840254 0.542193i \(-0.817594\pi\)
0.889680 + 0.456585i \(0.150928\pi\)
\(572\) 3.56452 4.47867i 0.149040 0.187263i
\(573\) 10.5684 10.5684i 0.441499 0.441499i
\(574\) 3.77571 4.10031i 0.157595 0.171144i
\(575\) −8.46980 + 5.42114i −0.353215 + 0.226077i
\(576\) −0.433348 + 0.0921110i −0.0180562 + 0.00383796i
\(577\) −30.5614 11.7314i −1.27229 0.488386i −0.373852 0.927488i \(-0.621963\pi\)
−0.898437 + 0.439102i \(0.855297\pi\)
\(578\) 1.57477 + 0.604499i 0.0655020 + 0.0251438i
\(579\) 17.1961 3.65514i 0.714645 0.151902i
\(580\) −0.778921 15.8652i −0.0323429 0.658765i
\(581\) 16.1357 5.04426i 0.669421 0.209271i
\(582\) −7.68811 + 7.68811i −0.318682 + 0.318682i
\(583\) −25.0940 9.39017i −1.03929 0.388901i
\(584\) −6.02444 + 10.4346i −0.249293 + 0.431788i
\(585\) −1.38649 + 1.00037i −0.0573245 + 0.0413601i
\(586\) −7.07389 6.36936i −0.292220 0.263116i
\(587\) −15.9219 + 8.11261i −0.657167 + 0.334843i −0.750576 0.660785i \(-0.770224\pi\)
0.0934086 + 0.995628i \(0.470224\pi\)
\(588\) 0.389886 + 12.9829i 0.0160786 + 0.535407i
\(589\) 7.97015 10.9700i 0.328404 0.452010i
\(590\) −7.69591 + 6.88354i −0.316836 + 0.283391i
\(591\) 6.96764 32.7801i 0.286610 1.34840i
\(592\) −2.39595 1.94020i −0.0984729 0.0797418i
\(593\) −6.82813 1.82959i −0.280398 0.0751324i 0.115879 0.993263i \(-0.463031\pi\)
−0.396277 + 0.918131i \(0.629698\pi\)
\(594\) −10.4302 + 11.7826i −0.427957 + 0.483447i
\(595\) −12.8885 + 19.2314i −0.528378 + 0.788412i
\(596\) −10.6887 + 7.76580i −0.437827 + 0.318100i
\(597\) 2.17519 + 41.5051i 0.0890246 + 1.69869i
\(598\) 3.46633 + 0.181663i 0.141749 + 0.00742875i
\(599\) 8.10344 + 18.2006i 0.331097 + 0.743657i 1.00000 0.000306878i \(9.76822e-5\pi\)
−0.668903 + 0.743350i \(0.733236\pi\)
\(600\) −5.50276 + 7.46963i −0.224649 + 0.304946i
\(601\) −12.8111 4.16257i −0.522575 0.169795i 0.0358389 0.999358i \(-0.488590\pi\)
−0.558413 + 0.829563i \(0.688590\pi\)
\(602\) −2.47893 0.693993i −0.101034 0.0282851i
\(603\) −1.18372 0.187482i −0.0482046 0.00763487i
\(604\) −1.62798 + 0.939917i −0.0662417 + 0.0382447i
\(605\) 6.68854 + 23.6699i 0.271928 + 0.962318i
\(606\) 15.3420 26.5731i 0.623225 1.07946i
\(607\) 14.9166 + 38.8590i 0.605445 + 1.57724i 0.802375 + 0.596821i \(0.203570\pi\)
−0.196930 + 0.980418i \(0.563097\pi\)
\(608\) 2.47200 + 1.25955i 0.100253 + 0.0510813i
\(609\) −32.0154 + 13.8278i −1.29733 + 0.560332i
\(610\) 0.0248046 0.228730i 0.00100431 0.00926100i
\(611\) 0.715666 6.80911i 0.0289528 0.275467i
\(612\) −0.0907331 + 1.73129i −0.00366767 + 0.0699832i
\(613\) −15.2201 23.4369i −0.614734 0.946608i −0.999719 0.0236850i \(-0.992460\pi\)
0.384985 0.922923i \(-0.374207\pi\)
\(614\) 17.8206 + 7.93424i 0.719181 + 0.320200i
\(615\) −4.34553 7.58443i −0.175229 0.305834i
\(616\) −8.77493 0.0238628i −0.353552 0.000961461i
\(617\) −23.5013 + 23.5013i −0.946126 + 0.946126i −0.998621 0.0524947i \(-0.983283\pi\)
0.0524947 + 0.998621i \(0.483283\pi\)
\(618\) −6.54368 17.0469i −0.263226 0.685726i
\(619\) 47.1681 + 10.0259i 1.89585 + 0.402975i 0.999208 0.0397860i \(-0.0126676\pi\)
0.896640 + 0.442761i \(0.146001\pi\)
\(620\) −4.92930 9.75380i −0.197965 0.391722i
\(621\) −9.49013 0.997453i −0.380826 0.0400264i
\(622\) −0.555690 3.50849i −0.0222812 0.140678i
\(623\) −15.4315 19.4976i −0.618250 0.781155i
\(624\) 3.04566 0.989593i 0.121924 0.0396154i
\(625\) 2.28451 + 24.8954i 0.0913802 + 0.995816i
\(626\) 22.7318 + 13.1242i 0.908545 + 0.524549i
\(627\) −16.8406 + 2.81335i −0.672548 + 0.112354i
\(628\) 13.3958 + 3.58941i 0.534552 + 0.143233i
\(629\) −9.76035 + 7.09131i −0.389171 + 0.282749i
\(630\) 2.52161 + 0.714931i 0.100463 + 0.0284835i
\(631\) 1.24986 3.84667i 0.0497561 0.153133i −0.923091 0.384581i \(-0.874346\pi\)
0.972847 + 0.231447i \(0.0743461\pi\)
\(632\) 8.47117 + 10.4610i 0.336965 + 0.416117i
\(633\) 3.22425 8.39945i 0.128152 0.333848i
\(634\) −20.4592 + 18.4215i −0.812538 + 0.731613i
\(635\) −1.02990 + 4.76780i −0.0408703 + 0.189204i
\(636\) −8.81088 12.1271i −0.349374 0.480872i
\(637\) −1.62289 11.9715i −0.0643011 0.474327i
\(638\) −8.62877 21.9232i −0.341616 0.867948i
\(639\) 5.46874 3.15738i 0.216340 0.124904i
\(640\) 1.81335 1.30835i 0.0716789 0.0517169i
\(641\) −41.3107 8.78085i −1.63167 0.346823i −0.701138 0.713026i \(-0.747324\pi\)
−0.930535 + 0.366203i \(0.880658\pi\)
\(642\) −24.1067 15.6550i −0.951414 0.617855i
\(643\) −14.5862 + 2.31022i −0.575222 + 0.0911062i −0.437266 0.899332i \(-0.644053\pi\)
−0.137956 + 0.990438i \(0.544053\pi\)
\(644\) −3.07946 4.33962i −0.121348 0.171005i
\(645\) −2.20986 + 3.37841i −0.0870133 + 0.133025i
\(646\) 7.26459 8.06814i 0.285821 0.317437i
\(647\) 7.98759 9.86385i 0.314024 0.387788i −0.595557 0.803313i \(-0.703069\pi\)
0.909582 + 0.415525i \(0.136402\pi\)
\(648\) −9.78755 + 2.62257i −0.384491 + 0.103024i
\(649\) −7.54504 + 13.3272i −0.296169 + 0.523139i
\(650\) 4.36391 7.44450i 0.171167 0.291997i
\(651\) −16.2532 + 17.6505i −0.637011 + 0.691776i
\(652\) 15.9952 + 8.14996i 0.626420 + 0.319177i
\(653\) −17.2314 11.1902i −0.674316 0.437906i 0.161532 0.986868i \(-0.448357\pi\)
−0.835847 + 0.548962i \(0.815023\pi\)
\(654\) −3.41787 + 1.52174i −0.133649 + 0.0595046i
\(655\) −1.27994 8.25767i −0.0500115 0.322654i
\(656\) 0.438017 + 2.06071i 0.0171017 + 0.0804571i
\(657\) 2.42341 4.75620i 0.0945460 0.185557i
\(658\) −8.86593 + 5.61782i −0.345630 + 0.219006i
\(659\) 20.1243i 0.783931i −0.919980 0.391966i \(-0.871795\pi\)
0.919980 0.391966i \(-0.128205\pi\)
\(660\) −4.18499 + 13.1093i −0.162900 + 0.510277i
\(661\) −12.8238 7.40380i −0.498786 0.287974i 0.229426 0.973326i \(-0.426315\pi\)
−0.728212 + 0.685352i \(0.759648\pi\)
\(662\) −12.1475 9.83683i −0.472125 0.382319i
\(663\) −0.655854 12.5144i −0.0254713 0.486021i
\(664\) −1.97455 + 6.07704i −0.0766274 + 0.235835i
\(665\) −9.45444 13.4170i −0.366627 0.520290i
\(666\) 1.10501 + 0.802835i 0.0428182 + 0.0311092i
\(667\) 7.78132 11.9822i 0.301294 0.463952i
\(668\) −20.4185 + 13.2599i −0.790016 + 0.513043i
\(669\) −46.7134 + 4.90977i −1.80604 + 0.189823i
\(670\) 5.84798 1.54628i 0.225927 0.0597379i
\(671\) −0.0737678 0.333182i −0.00284778 0.0128623i
\(672\) −4.08716 2.71961i −0.157666 0.104911i
\(673\) 22.0992 + 3.50017i 0.851863 + 0.134922i 0.567072 0.823668i \(-0.308076\pi\)
0.284790 + 0.958590i \(0.408076\pi\)
\(674\) 15.1803 + 13.6684i 0.584723 + 0.526487i
\(675\) −13.0515 + 19.8098i −0.502353 + 0.762481i
\(676\) 9.15503 4.07608i 0.352117 0.156772i
\(677\) −13.7958 + 11.1716i −0.530216 + 0.429360i −0.856679 0.515850i \(-0.827476\pi\)
0.326464 + 0.945210i \(0.394143\pi\)
\(678\) 3.62507 + 7.11461i 0.139220 + 0.273235i
\(679\) −15.5019 0.173150i −0.594910 0.00664490i
\(680\) −3.10879 8.17933i −0.119217 0.313663i
\(681\) −7.73691 13.4007i −0.296479 0.513517i
\(682\) −11.5585 11.3648i −0.442597 0.435180i
\(683\) −17.8393 + 4.78002i −0.682601 + 0.182902i −0.583425 0.812167i \(-0.698288\pi\)
−0.0991768 + 0.995070i \(0.531621\pi\)
\(684\) −1.12287 0.499935i −0.0429341 0.0191155i
\(685\) −9.79223 8.87571i −0.374142 0.339123i
\(686\) −12.8466 + 13.3403i −0.490485 + 0.509337i
\(687\) 7.87377 1.24708i 0.300403 0.0475792i
\(688\) 0.756142 0.612312i 0.0288276 0.0233442i
\(689\) 9.32922 + 10.3611i 0.355415 + 0.394728i
\(690\) −7.94488 + 2.55247i −0.302456 + 0.0971707i
\(691\) 10.6449 23.9089i 0.404951 0.909536i −0.589832 0.807526i \(-0.700806\pi\)
0.994783 0.102010i \(-0.0325273\pi\)
\(692\) 3.53965 + 3.53965i 0.134557 + 0.134557i
\(693\) 3.88278 0.192901i 0.147495 0.00732772i
\(694\) 4.80918i 0.182554i
\(695\) −15.1561 12.3563i −0.574905 0.468701i
\(696\) 2.74051 12.8931i 0.103879 0.488712i
\(697\) 8.23283 + 0.431464i 0.311840 + 0.0163429i
\(698\) 8.91375 + 11.0076i 0.337390 + 0.416642i
\(699\) 9.65200 + 7.01259i 0.365072 + 0.265240i
\(700\) −13.1006 + 1.83687i −0.495156 + 0.0694272i
\(701\) −12.7765 39.3220i −0.482562 1.48517i −0.835482 0.549518i \(-0.814811\pi\)
0.352920 0.935653i \(-0.385189\pi\)
\(702\) 7.64455 2.93447i 0.288525 0.110754i
\(703\) −2.21380 8.26202i −0.0834951 0.311608i
\(704\) 1.92672 2.69958i 0.0726160 0.101744i
\(705\) 4.20760 + 15.9130i 0.158467 + 0.599320i
\(706\) 1.65950 + 2.28410i 0.0624560 + 0.0859634i
\(707\) 42.3842 10.8509i 1.59402 0.408091i
\(708\) −7.63423 + 3.88984i −0.286912 + 0.146189i
\(709\) −17.2843 1.81665i −0.649126 0.0682259i −0.225758 0.974184i \(-0.572486\pi\)
−0.423368 + 0.905958i \(0.639152\pi\)
\(710\) −18.8190 + 25.7230i −0.706263 + 0.965366i
\(711\) −3.99039 4.43177i −0.149651 0.166204i
\(712\) 9.38535 0.491866i 0.351731 0.0184334i
\(713\) 1.53771 9.70872i 0.0575877 0.363595i
\(714\) −14.4193 + 12.6945i −0.539629 + 0.475079i
\(715\) 2.59665 12.5331i 0.0971092 0.468712i
\(716\) 12.5588 + 21.7524i 0.469343 + 0.812926i
\(717\) 31.3455 38.7084i 1.17062 1.44559i
\(718\) 17.1442 + 26.3998i 0.639817 + 0.985231i
\(719\) 37.5055 7.97205i 1.39872 0.297307i 0.554001 0.832516i \(-0.313100\pi\)
0.844720 + 0.535209i \(0.179767\pi\)
\(720\) −0.771930 + 0.620886i −0.0287681 + 0.0231391i
\(721\) 10.8547 23.6652i 0.404251 0.881337i
\(722\) −5.13135 10.0708i −0.190969 0.374798i
\(723\) 44.8252 2.34919i 1.66707 0.0873673i
\(724\) 1.30264 + 12.3938i 0.0484123 + 0.460612i
\(725\) −17.5556 30.8764i −0.651998 1.14672i
\(726\) 0.344917 + 20.4080i 0.0128011 + 0.757413i
\(727\) −19.5408 19.5408i −0.724730 0.724730i 0.244835 0.969565i \(-0.421266\pi\)
−0.969565 + 0.244835i \(0.921266\pi\)
\(728\) 4.04509 + 2.11831i 0.149921 + 0.0785099i
\(729\) −20.8491 + 6.77428i −0.772189 + 0.250899i
\(730\) −1.49890 + 26.9004i −0.0554768 + 0.995628i
\(731\) −1.54863 3.47827i −0.0572780 0.128649i
\(732\) 0.0684189 0.178237i 0.00252884 0.00658785i
\(733\) −26.5965 + 40.9551i −0.982365 + 1.51271i −0.128835 + 0.991666i \(0.541124\pi\)
−0.853530 + 0.521044i \(0.825543\pi\)
\(734\) 0.437178 + 1.34550i 0.0161366 + 0.0496632i
\(735\) 13.8723 + 25.5167i 0.511686 + 0.941198i
\(736\) 2.01123 0.0741350
\(737\) 7.48303 4.94993i 0.275641 0.182333i
\(738\) −0.241569 0.901546i −0.00889226 0.0331864i
\(739\) −39.4553 + 4.14692i −1.45139 + 0.152547i −0.797168 0.603757i \(-0.793670\pi\)
−0.654220 + 0.756304i \(0.727003\pi\)
\(740\) −6.73840 1.45557i −0.247709 0.0535078i
\(741\) 8.44983 + 2.74552i 0.310412 + 0.100859i
\(742\) 3.57915 21.0719i 0.131395 0.773573i
\(743\) −4.79630 30.2827i −0.175959 1.11096i −0.904661 0.426132i \(-0.859876\pi\)
0.728702 0.684831i \(-0.240124\pi\)
\(744\) −1.88551 8.87064i −0.0691263 0.325213i
\(745\) −13.4991 + 26.2784i −0.494567 + 0.962768i
\(746\) −4.02082 38.2555i −0.147213 1.40063i
\(747\) 0.732680 2.73440i 0.0268074 0.100046i
\(748\) −8.25266 10.0169i −0.301747 0.366255i
\(749\) −8.07296 40.1820i −0.294980 1.46822i
\(750\) −3.44819 + 20.4570i −0.125910 + 0.746984i
\(751\) −9.69052 + 10.7624i −0.353612 + 0.392726i −0.893539 0.448986i \(-0.851785\pi\)
0.539927 + 0.841712i \(0.318452\pi\)
\(752\) 0.207621 3.96165i 0.00757118 0.144467i
\(753\) −41.9394 16.0990i −1.52835 0.586681i
\(754\) −1.28151 + 12.1927i −0.0466697 + 0.444033i
\(755\) −2.30099 + 3.51772i −0.0837415 + 0.128023i
\(756\) −10.8004 6.39749i −0.392806 0.232675i
\(757\) 6.17640 38.9962i 0.224485 1.41734i −0.575736 0.817636i \(-0.695284\pi\)
0.800220 0.599706i \(-0.204716\pi\)
\(758\) 4.39441 16.4002i 0.159612 0.595681i
\(759\) −9.95168 + 7.35959i −0.361223 + 0.267136i
\(760\) 6.20369 + 0.0204907i 0.225031 + 0.000743275i
\(761\) −2.54296 + 5.71157i −0.0921821 + 0.207044i −0.953752 0.300595i \(-0.902815\pi\)
0.861570 + 0.507639i \(0.169482\pi\)
\(762\) −1.83761 + 3.60651i −0.0665695 + 0.130650i
\(763\) −4.95864 1.96727i −0.179515 0.0712198i
\(764\) −4.73446 + 6.51643i −0.171287 + 0.235756i
\(765\) 1.56505 + 3.54663i 0.0565844 + 0.128229i
\(766\) 16.7397 15.0725i 0.604829 0.544590i
\(767\) 6.68359 4.34037i 0.241330 0.156722i
\(768\) 1.73230 0.664966i 0.0625088 0.0239949i
\(769\) −5.37962 −0.193994 −0.0969971 0.995285i \(-0.530924\pi\)
−0.0969971 + 0.995285i \(0.530924\pi\)
\(770\) −17.5361 + 8.80249i −0.631959 + 0.317220i
\(771\) 17.6266 0.634805