Properties

Label 115.2.j.a.9.3
Level $115$
Weight $2$
Character 115.9
Analytic conductor $0.918$
Analytic rank $0$
Dimension $100$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 115 = 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 115.j (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.918279623245\)
Analytic rank: \(0\)
Dimension: \(100\)
Relative dimension: \(10\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 9.3
Character \(\chi\) \(=\) 115.9
Dual form 115.2.j.a.64.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.394732 - 1.34433i) q^{2} +(-1.97191 + 1.70867i) q^{3} +(0.0310904 - 0.0199806i) q^{4} +(2.16612 + 0.554912i) q^{5} +(3.07540 + 1.97644i) q^{6} +(2.68179 + 1.22473i) q^{7} +(-2.15687 - 1.86894i) q^{8} +(0.541936 - 3.76925i) q^{9} +O(q^{10})\) \(q+(-0.394732 - 1.34433i) q^{2} +(-1.97191 + 1.70867i) q^{3} +(0.0310904 - 0.0199806i) q^{4} +(2.16612 + 0.554912i) q^{5} +(3.07540 + 1.97644i) q^{6} +(2.68179 + 1.22473i) q^{7} +(-2.15687 - 1.86894i) q^{8} +(0.541936 - 3.76925i) q^{9} +(-0.109049 - 3.13103i) q^{10} +(1.52091 + 0.446579i) q^{11} +(-0.0271673 + 0.0925233i) q^{12} +(4.24625 - 1.93920i) q^{13} +(0.587861 - 4.08866i) q^{14} +(-5.21956 + 2.60695i) q^{15} +(-1.63039 + 3.57005i) q^{16} +(-0.714176 + 1.11128i) q^{17} +(-5.28104 + 0.759299i) q^{18} +(-4.70724 + 3.02516i) q^{19} +(0.0784330 - 0.0260279i) q^{20} +(-7.38094 + 2.16724i) q^{21} -2.22088i q^{22} +(-4.51845 + 1.60736i) q^{23} +7.44658 q^{24} +(4.38415 + 2.40401i) q^{25} +(-4.28306 - 4.94291i) q^{26} +(1.13981 + 1.77358i) q^{27} +(0.107849 - 0.0155063i) q^{28} +(-4.78017 - 3.07203i) q^{29} +(5.56493 + 5.98778i) q^{30} +(4.02560 - 4.64579i) q^{31} +(-0.206907 - 0.0297487i) q^{32} +(-3.76216 + 1.71812i) q^{33} +(1.77584 + 0.521433i) q^{34} +(5.12947 + 4.14108i) q^{35} +(-0.0584628 - 0.128016i) q^{36} +(-0.226161 - 0.0325170i) q^{37} +(5.92491 + 5.13396i) q^{38} +(-5.05979 + 11.0794i) q^{39} +(-3.63495 - 5.24523i) q^{40} +(-0.944912 - 6.57201i) q^{41} +(5.82698 + 9.06696i) q^{42} +(-4.67889 + 4.05429i) q^{43} +(0.0562086 - 0.0165043i) q^{44} +(3.26550 - 7.86391i) q^{45} +(3.94440 + 5.43983i) q^{46} -9.26629i q^{47} +(-2.88507 - 9.82563i) q^{48} +(1.10802 + 1.27872i) q^{49} +(1.50123 - 6.84269i) q^{50} +(-0.490520 - 3.41164i) q^{51} +(0.0932714 - 0.145133i) q^{52} +(-7.81920 - 3.57091i) q^{53} +(1.93436 - 2.23238i) q^{54} +(3.04666 + 1.81131i) q^{55} +(-3.49533 - 7.65371i) q^{56} +(4.11326 - 14.0085i) q^{57} +(-2.24294 + 7.63876i) q^{58} +(4.84630 + 10.6119i) q^{59} +(-0.110190 + 0.185341i) q^{60} +(-2.17039 + 2.50477i) q^{61} +(-7.83452 - 3.57791i) q^{62} +(6.06969 - 9.44462i) q^{63} +(1.15877 + 8.05944i) q^{64} +(10.2740 - 1.84424i) q^{65} +(3.79477 + 4.37939i) q^{66} +(2.96939 + 10.1128i) q^{67} +0.0488198i q^{68} +(6.16355 - 10.8901i) q^{69} +(3.54223 - 8.53032i) q^{70} +(-7.18012 + 2.10827i) q^{71} +(-8.21339 + 7.11694i) q^{72} +(0.164990 + 0.256729i) q^{73} +(0.0455592 + 0.316871i) q^{74} +(-12.7528 + 2.75057i) q^{75} +(-0.0859054 + 0.188107i) q^{76} +(3.53182 + 3.06034i) q^{77} +(16.8916 + 2.42865i) q^{78} +(-3.42189 - 7.49289i) q^{79} +(-5.51268 + 6.82843i) q^{80} +(5.68318 + 1.66873i) q^{81} +(-8.46197 + 3.86445i) q^{82} +(6.71269 + 0.965140i) q^{83} +(-0.186174 + 0.214856i) q^{84} +(-2.16365 + 2.01086i) q^{85} +(7.29721 + 4.68964i) q^{86} +(14.6752 - 2.10997i) q^{87} +(-2.44578 - 3.80570i) q^{88} +(5.15177 + 5.94546i) q^{89} +(-11.8607 - 1.28578i) q^{90} +13.7626 q^{91} +(-0.108365 + 0.140255i) q^{92} +16.0395i q^{93} +(-12.4570 + 3.65770i) q^{94} +(-11.8751 + 3.94075i) q^{95} +(0.458834 - 0.294875i) q^{96} +(-5.61695 + 0.807595i) q^{97} +(1.28166 - 1.99430i) q^{98} +(2.50750 - 5.49066i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 100q - 14q^{4} - 9q^{5} - 18q^{6} - 12q^{9} + O(q^{10}) \) \( 100q - 14q^{4} - 9q^{5} - 18q^{6} - 12q^{9} - 13q^{10} - 26q^{11} - 26q^{14} - 10q^{15} - 18q^{16} - 14q^{19} + 49q^{20} - 22q^{21} - 68q^{24} + 21q^{25} - 42q^{26} - 24q^{29} + 19q^{30} - 12q^{31} + 8q^{34} - 37q^{35} - 10q^{36} + 14q^{39} - q^{40} + 8q^{41} + 166q^{44} - 42q^{45} - 18q^{46} + 32q^{49} - 23q^{50} - 22q^{51} + 116q^{54} + 27q^{55} - 116q^{56} + 50q^{59} + 123q^{60} - 38q^{61} + 10q^{64} + 76q^{65} - 28q^{66} + 80q^{69} + 102q^{70} - 110q^{71} + 22q^{74} + 6q^{75} + 4q^{76} + 42q^{79} + 18q^{80} + 204q^{81} + 56q^{84} - 121q^{85} + 132q^{86} - 66q^{89} - 198q^{90} + 76q^{91} - 70q^{94} - 74q^{95} + 236q^{96} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.394732 1.34433i −0.279117 0.950587i −0.973059 0.230555i \(-0.925946\pi\)
0.693942 0.720031i \(-0.255872\pi\)
\(3\) −1.97191 + 1.70867i −1.13848 + 0.986503i −0.999993 0.00386079i \(-0.998771\pi\)
−0.138492 + 0.990364i \(0.544226\pi\)
\(4\) 0.0310904 0.0199806i 0.0155452 0.00999030i
\(5\) 2.16612 + 0.554912i 0.968718 + 0.248164i
\(6\) 3.07540 + 1.97644i 1.25553 + 0.806878i
\(7\) 2.68179 + 1.22473i 1.01362 + 0.462906i 0.851774 0.523909i \(-0.175527\pi\)
0.161849 + 0.986816i \(0.448254\pi\)
\(8\) −2.15687 1.86894i −0.762570 0.660771i
\(9\) 0.541936 3.76925i 0.180645 1.25642i
\(10\) −0.109049 3.13103i −0.0344844 0.990117i
\(11\) 1.52091 + 0.446579i 0.458571 + 0.134649i 0.502856 0.864370i \(-0.332283\pi\)
−0.0442848 + 0.999019i \(0.514101\pi\)
\(12\) −0.0271673 + 0.0925233i −0.00784252 + 0.0267092i
\(13\) 4.24625 1.93920i 1.17770 0.537837i 0.272222 0.962234i \(-0.412241\pi\)
0.905476 + 0.424398i \(0.139514\pi\)
\(14\) 0.587861 4.08866i 0.157113 1.09274i
\(15\) −5.21956 + 2.60695i −1.34769 + 0.673112i
\(16\) −1.63039 + 3.57005i −0.407597 + 0.892513i
\(17\) −0.714176 + 1.11128i −0.173213 + 0.269525i −0.916996 0.398897i \(-0.869393\pi\)
0.743783 + 0.668421i \(0.233030\pi\)
\(18\) −5.28104 + 0.759299i −1.24475 + 0.178968i
\(19\) −4.70724 + 3.02516i −1.07991 + 0.694019i −0.954538 0.298091i \(-0.903650\pi\)
−0.125376 + 0.992109i \(0.540014\pi\)
\(20\) 0.0784330 0.0260279i 0.0175382 0.00582002i
\(21\) −7.38094 + 2.16724i −1.61065 + 0.472930i
\(22\) 2.22088i 0.473494i
\(23\) −4.51845 + 1.60736i −0.942162 + 0.335157i
\(24\) 7.44658 1.52003
\(25\) 4.38415 + 2.40401i 0.876829 + 0.480802i
\(26\) −4.28306 4.94291i −0.839976 0.969384i
\(27\) 1.13981 + 1.77358i 0.219357 + 0.341326i
\(28\) 0.107849 0.0155063i 0.0203815 0.00293042i
\(29\) −4.78017 3.07203i −0.887655 0.570461i 0.0154501 0.999881i \(-0.495082\pi\)
−0.903105 + 0.429419i \(0.858718\pi\)
\(30\) 5.56493 + 5.98778i 1.01601 + 1.09321i
\(31\) 4.02560 4.64579i 0.723020 0.834409i −0.268647 0.963239i \(-0.586577\pi\)
0.991667 + 0.128829i \(0.0411220\pi\)
\(32\) −0.206907 0.0297487i −0.0365764 0.00525889i
\(33\) −3.76216 + 1.71812i −0.654907 + 0.299086i
\(34\) 1.77584 + 0.521433i 0.304553 + 0.0894249i
\(35\) 5.12947 + 4.14108i 0.867038 + 0.699970i
\(36\) −0.0584628 0.128016i −0.00974379 0.0213359i
\(37\) −0.226161 0.0325170i −0.0371806 0.00534577i 0.123699 0.992320i \(-0.460524\pi\)
−0.160880 + 0.986974i \(0.551433\pi\)
\(38\) 5.92491 + 5.13396i 0.961147 + 0.832839i
\(39\) −5.05979 + 11.0794i −0.810214 + 1.77412i
\(40\) −3.63495 5.24523i −0.574736 0.829343i
\(41\) −0.944912 6.57201i −0.147570 1.02637i −0.920181 0.391494i \(-0.871958\pi\)
0.772610 0.634881i \(-0.218951\pi\)
\(42\) 5.82698 + 9.06696i 0.899122 + 1.39906i
\(43\) −4.67889 + 4.05429i −0.713525 + 0.618273i −0.934064 0.357105i \(-0.883764\pi\)
0.220539 + 0.975378i \(0.429218\pi\)
\(44\) 0.0562086 0.0165043i 0.00847376 0.00248812i
\(45\) 3.26550 7.86391i 0.486792 1.17228i
\(46\) 3.94440 + 5.43983i 0.581570 + 0.802059i
\(47\) 9.26629i 1.35163i −0.737073 0.675813i \(-0.763792\pi\)
0.737073 0.675813i \(-0.236208\pi\)
\(48\) −2.88507 9.82563i −0.416423 1.41821i
\(49\) 1.10802 + 1.27872i 0.158289 + 0.182675i
\(50\) 1.50123 6.84269i 0.212306 0.967702i
\(51\) −0.490520 3.41164i −0.0686865 0.477725i
\(52\) 0.0932714 0.145133i 0.0129344 0.0201263i
\(53\) −7.81920 3.57091i −1.07405 0.490502i −0.201732 0.979441i \(-0.564657\pi\)
−0.872318 + 0.488938i \(0.837384\pi\)
\(54\) 1.93436 2.23238i 0.263234 0.303788i
\(55\) 3.04666 + 1.81131i 0.410811 + 0.244237i
\(56\) −3.49533 7.65371i −0.467084 1.02277i
\(57\) 4.11326 14.0085i 0.544814 1.85547i
\(58\) −2.24294 + 7.63876i −0.294513 + 1.00302i
\(59\) 4.84630 + 10.6119i 0.630934 + 1.38155i 0.907293 + 0.420499i \(0.138145\pi\)
−0.276359 + 0.961055i \(0.589128\pi\)
\(60\) −0.110190 + 0.185341i −0.0142255 + 0.0239274i
\(61\) −2.17039 + 2.50477i −0.277891 + 0.320703i −0.877488 0.479599i \(-0.840782\pi\)
0.599597 + 0.800302i \(0.295328\pi\)
\(62\) −7.83452 3.57791i −0.994986 0.454395i
\(63\) 6.06969 9.44462i 0.764709 1.18991i
\(64\) 1.15877 + 8.05944i 0.144847 + 1.00743i
\(65\) 10.2740 1.84424i 1.27433 0.228750i
\(66\) 3.79477 + 4.37939i 0.467103 + 0.539066i
\(67\) 2.96939 + 10.1128i 0.362769 + 1.23548i 0.915568 + 0.402163i \(0.131741\pi\)
−0.552799 + 0.833315i \(0.686440\pi\)
\(68\) 0.0488198i 0.00592027i
\(69\) 6.16355 10.8901i 0.742004 1.31102i
\(70\) 3.54223 8.53032i 0.423377 1.01957i
\(71\) −7.18012 + 2.10827i −0.852123 + 0.250206i −0.678495 0.734605i \(-0.737367\pi\)
−0.173628 + 0.984811i \(0.555549\pi\)
\(72\) −8.21339 + 7.11694i −0.967957 + 0.838740i
\(73\) 0.164990 + 0.256729i 0.0193106 + 0.0300479i 0.850775 0.525531i \(-0.176133\pi\)
−0.831464 + 0.555579i \(0.812497\pi\)
\(74\) 0.0455592 + 0.316871i 0.00529615 + 0.0368355i
\(75\) −12.7528 + 2.75057i −1.47257 + 0.317608i
\(76\) −0.0859054 + 0.188107i −0.00985403 + 0.0215773i
\(77\) 3.53182 + 3.06034i 0.402488 + 0.348758i
\(78\) 16.8916 + 2.42865i 1.91260 + 0.274990i
\(79\) −3.42189 7.49289i −0.384992 0.843016i −0.998574 0.0533846i \(-0.982999\pi\)
0.613582 0.789631i \(-0.289728\pi\)
\(80\) −5.51268 + 6.82843i −0.616336 + 0.763442i
\(81\) 5.68318 + 1.66873i 0.631465 + 0.185415i
\(82\) −8.46197 + 3.86445i −0.934469 + 0.426758i
\(83\) 6.71269 + 0.965140i 0.736814 + 0.105938i 0.500497 0.865738i \(-0.333151\pi\)
0.236317 + 0.971676i \(0.424060\pi\)
\(84\) −0.186174 + 0.214856i −0.0203132 + 0.0234427i
\(85\) −2.16365 + 2.01086i −0.234681 + 0.218108i
\(86\) 7.29721 + 4.68964i 0.786879 + 0.505696i
\(87\) 14.6752 2.10997i 1.57334 0.226213i
\(88\) −2.44578 3.80570i −0.260721 0.405689i
\(89\) 5.15177 + 5.94546i 0.546086 + 0.630217i 0.959967 0.280114i \(-0.0903723\pi\)
−0.413881 + 0.910331i \(0.635827\pi\)
\(90\) −11.8607 1.28578i −1.25023 0.135533i
\(91\) 13.7626 1.44271
\(92\) −0.108365 + 0.140255i −0.0112978 + 0.0146226i
\(93\) 16.0395i 1.66322i
\(94\) −12.4570 + 3.65770i −1.28484 + 0.377263i
\(95\) −11.8751 + 3.94075i −1.21836 + 0.404312i
\(96\) 0.458834 0.294875i 0.0468295 0.0300955i
\(97\) −5.61695 + 0.807595i −0.570315 + 0.0819989i −0.421438 0.906857i \(-0.638475\pi\)
−0.148876 + 0.988856i \(0.547566\pi\)
\(98\) 1.28166 1.99430i 0.129467 0.201455i
\(99\) 2.50750 5.49066i 0.252013 0.551832i
\(100\) 0.184338 0.0128561i 0.0184338 0.00128561i
\(101\) 0.745671 5.18625i 0.0741970 0.516052i −0.918500 0.395420i \(-0.870599\pi\)
0.992697 0.120631i \(-0.0384919\pi\)
\(102\) −4.39275 + 2.00610i −0.434947 + 0.198634i
\(103\) 5.25232 17.8877i 0.517526 1.76253i −0.120706 0.992688i \(-0.538516\pi\)
0.638232 0.769844i \(-0.279666\pi\)
\(104\) −12.7829 3.75339i −1.25346 0.368050i
\(105\) −17.1906 + 0.598726i −1.67763 + 0.0584297i
\(106\) −1.71400 + 11.9212i −0.166479 + 1.15789i
\(107\) −5.85951 5.07730i −0.566460 0.490841i 0.323904 0.946090i \(-0.395005\pi\)
−0.890364 + 0.455249i \(0.849550\pi\)
\(108\) 0.0708745 + 0.0323673i 0.00681990 + 0.00311454i
\(109\) 4.92636 + 3.16598i 0.471860 + 0.303246i 0.754874 0.655870i \(-0.227698\pi\)
−0.283014 + 0.959116i \(0.591334\pi\)
\(110\) 1.23240 4.81070i 0.117504 0.458682i
\(111\) 0.501531 0.322314i 0.0476032 0.0305927i
\(112\) −8.74473 + 7.57735i −0.826299 + 0.715992i
\(113\) 2.56064 + 8.72074i 0.240885 + 0.820378i 0.987836 + 0.155499i \(0.0496987\pi\)
−0.746951 + 0.664879i \(0.768483\pi\)
\(114\) −20.4557 −1.91585
\(115\) −10.6794 + 0.974385i −0.995864 + 0.0908619i
\(116\) −0.209998 −0.0194979
\(117\) −5.00812 17.0561i −0.463001 1.57684i
\(118\) 12.3530 10.7039i 1.13718 0.985374i
\(119\) −3.27629 + 2.10555i −0.300337 + 0.193015i
\(120\) 16.1302 + 4.13220i 1.47248 + 0.377216i
\(121\) −7.14006 4.58864i −0.649096 0.417149i
\(122\) 4.22397 + 1.92902i 0.382420 + 0.174645i
\(123\) 13.0927 + 11.3449i 1.18053 + 1.02293i
\(124\) 0.0323319 0.224874i 0.00290349 0.0201942i
\(125\) 8.16257 + 7.64019i 0.730082 + 0.683359i
\(126\) −15.0926 4.43159i −1.34456 0.394797i
\(127\) 1.78354 6.07417i 0.158263 0.538996i −0.841736 0.539889i \(-0.818466\pi\)
1.00000 0.000893287i \(0.000284342\pi\)
\(128\) 9.99687 4.56542i 0.883607 0.403530i
\(129\) 2.29893 15.9894i 0.202409 1.40779i
\(130\) −6.53473 13.0837i −0.573134 1.14751i
\(131\) −1.99588 + 4.37037i −0.174381 + 0.381841i −0.976561 0.215241i \(-0.930946\pi\)
0.802180 + 0.597082i \(0.203673\pi\)
\(132\) −0.0826379 + 0.128587i −0.00719271 + 0.0111921i
\(133\) −16.3289 + 2.34773i −1.41589 + 0.203574i
\(134\) 12.4229 7.98370i 1.07317 0.689687i
\(135\) 1.48479 + 4.47429i 0.127790 + 0.385085i
\(136\) 3.61730 1.06214i 0.310181 0.0910774i
\(137\) 4.56852i 0.390315i 0.980772 + 0.195158i \(0.0625218\pi\)
−0.980772 + 0.195158i \(0.937478\pi\)
\(138\) −17.0729 3.98718i −1.45334 0.339411i
\(139\) −15.2156 −1.29057 −0.645284 0.763943i \(-0.723261\pi\)
−0.645284 + 0.763943i \(0.723261\pi\)
\(140\) 0.242218 + 0.0262581i 0.0204712 + 0.00221922i
\(141\) 15.8331 + 18.2723i 1.33338 + 1.53881i
\(142\) 5.66844 + 8.82026i 0.475685 + 0.740180i
\(143\) 7.32416 1.05306i 0.612477 0.0880609i
\(144\) 12.5728 + 8.08007i 1.04774 + 0.673339i
\(145\) −8.64971 9.30695i −0.718319 0.772900i
\(146\) 0.280003 0.323141i 0.0231732 0.0267433i
\(147\) −4.36984 0.628289i −0.360419 0.0518204i
\(148\) −0.00768115 + 0.00350786i −0.000631386 + 0.000288345i
\(149\) 9.48896 + 2.78621i 0.777366 + 0.228255i 0.646264 0.763114i \(-0.276330\pi\)
0.131101 + 0.991369i \(0.458149\pi\)
\(150\) 8.73162 + 16.0583i 0.712934 + 1.31115i
\(151\) −7.52665 16.4811i −0.612510 1.34121i −0.920844 0.389932i \(-0.872499\pi\)
0.308333 0.951278i \(-0.400229\pi\)
\(152\) 15.8068 + 2.27267i 1.28210 + 0.184338i
\(153\) 3.80165 + 3.29415i 0.307345 + 0.266316i
\(154\) 2.71999 5.95596i 0.219183 0.479945i
\(155\) 11.2979 7.82949i 0.907473 0.628880i
\(156\) 0.0640619 + 0.445560i 0.00512905 + 0.0356734i
\(157\) 12.2151 + 19.0071i 0.974873 + 1.51693i 0.851355 + 0.524590i \(0.175781\pi\)
0.123518 + 0.992342i \(0.460582\pi\)
\(158\) −8.72221 + 7.55784i −0.693902 + 0.601269i
\(159\) 21.5203 6.31893i 1.70667 0.501124i
\(160\) −0.431678 0.179255i −0.0341271 0.0141713i
\(161\) −14.0861 1.22330i −1.11014 0.0964095i
\(162\) 8.29879i 0.652014i
\(163\) −1.81699 6.18810i −0.142318 0.484689i 0.857225 0.514943i \(-0.172187\pi\)
−0.999542 + 0.0302534i \(0.990369\pi\)
\(164\) −0.160690 0.185446i −0.0125478 0.0144809i
\(165\) −9.10268 + 1.63398i −0.708643 + 0.127206i
\(166\) −1.35224 9.40506i −0.104954 0.729974i
\(167\) −5.28392 + 8.22194i −0.408882 + 0.636233i −0.983228 0.182380i \(-0.941620\pi\)
0.574346 + 0.818613i \(0.305256\pi\)
\(168\) 19.9702 + 9.12008i 1.54073 + 0.703630i
\(169\) 5.75697 6.64390i 0.442844 0.511069i
\(170\) 3.55732 + 2.11492i 0.272834 + 0.162207i
\(171\) 8.85154 + 19.3822i 0.676894 + 1.48219i
\(172\) −0.0644617 + 0.219536i −0.00491516 + 0.0167395i
\(173\) −2.53455 + 8.63190i −0.192699 + 0.656271i 0.805290 + 0.592881i \(0.202009\pi\)
−0.997989 + 0.0633903i \(0.979809\pi\)
\(174\) −8.62926 18.8954i −0.654182 1.43246i
\(175\) 8.81310 + 11.8165i 0.666208 + 0.893242i
\(176\) −4.07398 + 4.70162i −0.307088 + 0.354398i
\(177\) −27.6888 12.6450i −2.08122 0.950459i
\(178\) 5.95910 9.27255i 0.446654 0.695007i
\(179\) 1.93200 + 13.4374i 0.144405 + 1.00436i 0.925175 + 0.379540i \(0.123918\pi\)
−0.780771 + 0.624818i \(0.785173\pi\)
\(180\) −0.0555999 0.309739i −0.00414417 0.0230866i
\(181\) −2.05334 2.36968i −0.152623 0.176137i 0.674289 0.738468i \(-0.264450\pi\)
−0.826912 + 0.562331i \(0.809905\pi\)
\(182\) −5.43252 18.5015i −0.402685 1.37142i
\(183\) 8.64768i 0.639255i
\(184\) 12.7498 + 4.97785i 0.939927 + 0.366972i
\(185\) −0.471848 0.195935i −0.0346909 0.0144054i
\(186\) 21.5625 6.33131i 1.58104 0.464235i
\(187\) −1.58247 + 1.37122i −0.115722 + 0.100273i
\(188\) −0.185146 0.288093i −0.0135032 0.0210113i
\(189\) 0.884575 + 6.15235i 0.0643433 + 0.447518i
\(190\) 9.98516 + 14.4086i 0.724400 + 1.04531i
\(191\) 0.574624 1.25825i 0.0415783 0.0910439i −0.887703 0.460416i \(-0.847700\pi\)
0.929281 + 0.369373i \(0.120427\pi\)
\(192\) −16.0559 13.9126i −1.15874 1.00405i
\(193\) 2.60238 + 0.374166i 0.187324 + 0.0269331i 0.235338 0.971914i \(-0.424380\pi\)
−0.0480145 + 0.998847i \(0.515289\pi\)
\(194\) 3.30286 + 7.23226i 0.237132 + 0.519246i
\(195\) −17.1082 + 21.1915i −1.22514 + 1.51756i
\(196\) 0.0599985 + 0.0176172i 0.00428561 + 0.00125837i
\(197\) 12.7168 5.80756i 0.906033 0.413771i 0.0927834 0.995686i \(-0.470424\pi\)
0.813250 + 0.581915i \(0.197696\pi\)
\(198\) −8.37106 1.20358i −0.594905 0.0855345i
\(199\) 8.88720 10.2564i 0.629997 0.727055i −0.347576 0.937652i \(-0.612995\pi\)
0.977573 + 0.210597i \(0.0675407\pi\)
\(200\) −4.96309 13.3789i −0.350943 0.946028i
\(201\) −23.1349 14.8679i −1.63181 1.04870i
\(202\) −7.26639 + 1.04475i −0.511261 + 0.0735083i
\(203\) −9.05701 14.0930i −0.635678 0.989134i
\(204\) −0.0834170 0.0962684i −0.00584036 0.00674013i
\(205\) 1.60009 14.7601i 0.111755 1.03089i
\(206\) −26.1203 −1.81989
\(207\) 3.60982 + 17.9022i 0.250900 + 1.24429i
\(208\) 18.3210i 1.27033i
\(209\) −8.51024 + 2.49883i −0.588666 + 0.172848i
\(210\) 7.59057 + 22.8736i 0.523799 + 1.57843i
\(211\) 5.33889 3.43110i 0.367545 0.236207i −0.343811 0.939039i \(-0.611718\pi\)
0.711356 + 0.702832i \(0.248082\pi\)
\(212\) −0.314451 + 0.0452113i −0.0215966 + 0.00310512i
\(213\) 10.5562 16.4258i 0.723300 1.12548i
\(214\) −4.51264 + 9.88130i −0.308478 + 0.675472i
\(215\) −12.3848 + 6.18569i −0.844637 + 0.421861i
\(216\) 0.856291 5.95564i 0.0582632 0.405230i
\(217\) 16.4857 7.52877i 1.11912 0.511086i
\(218\) 2.31154 7.87238i 0.156557 0.533185i
\(219\) −0.764012 0.224334i −0.0516272 0.0151591i
\(220\) 0.130913 0.00455952i 0.00882614 0.000307403i
\(221\) −0.877579 + 6.10370i −0.0590324 + 0.410579i
\(222\) −0.631268 0.546997i −0.0423679 0.0367120i
\(223\) 8.76703 + 4.00377i 0.587084 + 0.268112i 0.686732 0.726911i \(-0.259045\pi\)
−0.0996485 + 0.995023i \(0.531772\pi\)
\(224\) −0.518448 0.333186i −0.0346403 0.0222619i
\(225\) 11.4372 15.2221i 0.762482 1.01481i
\(226\) 10.7128 6.88471i 0.712606 0.457964i
\(227\) 14.1856 12.2919i 0.941530 0.815841i −0.0415273 0.999137i \(-0.513222\pi\)
0.983058 + 0.183297i \(0.0586769\pi\)
\(228\) −0.152015 0.517714i −0.0100674 0.0342865i
\(229\) −16.6093 −1.09757 −0.548786 0.835963i \(-0.684910\pi\)
−0.548786 + 0.835963i \(0.684910\pi\)
\(230\) 5.52541 + 13.9721i 0.364335 + 0.921293i
\(231\) −12.1936 −0.802278
\(232\) 4.56878 + 15.5598i 0.299955 + 1.02155i
\(233\) 10.2086 8.84581i 0.668789 0.579509i −0.252875 0.967499i \(-0.581376\pi\)
0.921663 + 0.387990i \(0.126831\pi\)
\(234\) −20.9522 + 13.4652i −1.36969 + 0.880245i
\(235\) 5.14198 20.0719i 0.335425 1.30935i
\(236\) 0.362706 + 0.233097i 0.0236101 + 0.0151733i
\(237\) 19.5506 + 8.92844i 1.26995 + 0.579965i
\(238\) 4.12381 + 3.57330i 0.267307 + 0.231623i
\(239\) −0.556606 + 3.87128i −0.0360038 + 0.250412i −0.999873 0.0159656i \(-0.994918\pi\)
0.963869 + 0.266378i \(0.0858269\pi\)
\(240\) −0.797034 22.8844i −0.0514483 1.47718i
\(241\) 9.35355 + 2.74645i 0.602515 + 0.176914i 0.568743 0.822515i \(-0.307430\pi\)
0.0337718 + 0.999430i \(0.489248\pi\)
\(242\) −3.35025 + 11.4099i −0.215362 + 0.733456i
\(243\) −19.8113 + 9.04751i −1.27089 + 0.580398i
\(244\) −0.0174317 + 0.121240i −0.00111595 + 0.00776160i
\(245\) 1.69053 + 3.38472i 0.108004 + 0.216242i
\(246\) 10.0832 22.0791i 0.642881 1.40771i
\(247\) −14.1217 + 21.9738i −0.898544 + 1.39816i
\(248\) −17.3654 + 2.49677i −1.10271 + 0.158545i
\(249\) −14.8860 + 9.56662i −0.943359 + 0.606260i
\(250\) 7.04893 13.9890i 0.445814 0.884744i
\(251\) 16.5033 4.84581i 1.04168 0.305865i 0.284228 0.958757i \(-0.408263\pi\)
0.757451 + 0.652892i \(0.226444\pi\)
\(252\) 0.414913i 0.0261371i
\(253\) −7.58996 + 0.426798i −0.477177 + 0.0268326i
\(254\) −8.86973 −0.556536
\(255\) 0.830636 7.66221i 0.0520164 0.479826i
\(256\) 0.580645 + 0.670100i 0.0362903 + 0.0418812i
\(257\) 4.80672 + 7.47940i 0.299835 + 0.466552i 0.958181 0.286163i \(-0.0923800\pi\)
−0.658346 + 0.752715i \(0.728744\pi\)
\(258\) −22.4025 + 3.22100i −1.39472 + 0.200531i
\(259\) −0.566693 0.364191i −0.0352126 0.0226297i
\(260\) 0.282573 0.262618i 0.0175244 0.0162869i
\(261\) −14.1698 + 16.3528i −0.877087 + 1.01221i
\(262\) 6.66307 + 0.958004i 0.411646 + 0.0591857i
\(263\) −2.35945 + 1.07753i −0.145490 + 0.0664431i −0.486830 0.873497i \(-0.661847\pi\)
0.341339 + 0.939940i \(0.389119\pi\)
\(264\) 11.3256 + 3.32548i 0.697040 + 0.204669i
\(265\) −14.9558 12.0740i −0.918727 0.741699i
\(266\) 9.60165 + 21.0247i 0.588715 + 1.28911i
\(267\) −20.3177 2.92124i −1.24342 0.178777i
\(268\) 0.294380 + 0.255081i 0.0179821 + 0.0155816i
\(269\) −1.13907 + 2.49422i −0.0694504 + 0.152075i −0.941174 0.337924i \(-0.890275\pi\)
0.871723 + 0.489999i \(0.163003\pi\)
\(270\) 5.42884 3.76219i 0.330389 0.228960i
\(271\) 1.97254 + 13.7193i 0.119823 + 0.833390i 0.957749 + 0.287606i \(0.0928593\pi\)
−0.837925 + 0.545785i \(0.816232\pi\)
\(272\) −2.80294 4.36146i −0.169953 0.264452i
\(273\) −27.1386 + 23.5157i −1.64250 + 1.42324i
\(274\) 6.14161 1.80334i 0.371028 0.108944i
\(275\) 5.59430 + 5.61415i 0.337349 + 0.338546i
\(276\) −0.0259640 0.461730i −0.00156285 0.0277929i
\(277\) 2.92978i 0.176033i −0.996119 0.0880167i \(-0.971947\pi\)
0.996119 0.0880167i \(-0.0280529\pi\)
\(278\) 6.00607 + 20.4548i 0.360220 + 1.22680i
\(279\) −15.3295 17.6912i −0.917754 1.05915i
\(280\) −3.32417 18.5185i −0.198657 1.10669i
\(281\) 3.47962 + 24.2013i 0.207577 + 1.44373i 0.781032 + 0.624491i \(0.214694\pi\)
−0.573455 + 0.819237i \(0.694397\pi\)
\(282\) 18.3143 28.4975i 1.09060 1.69700i
\(283\) −18.1109 8.27096i −1.07658 0.491657i −0.203420 0.979092i \(-0.565206\pi\)
−0.873160 + 0.487434i \(0.837933\pi\)
\(284\) −0.181108 + 0.209010i −0.0107468 + 0.0124025i
\(285\) 16.6833 28.0615i 0.988232 1.66222i
\(286\) −4.30673 9.43043i −0.254663 0.557633i
\(287\) 5.51490 18.7820i 0.325534 1.10867i
\(288\) −0.224261 + 0.763762i −0.0132147 + 0.0450051i
\(289\) 6.33716 + 13.8764i 0.372774 + 0.816262i
\(290\) −9.09732 + 15.3018i −0.534213 + 0.898555i
\(291\) 9.69622 11.1900i 0.568402 0.655971i
\(292\) 0.0102592 + 0.00468522i 0.000600375 + 0.000274182i
\(293\) −6.06437 + 9.43634i −0.354284 + 0.551277i −0.971957 0.235158i \(-0.924439\pi\)
0.617673 + 0.786435i \(0.288076\pi\)
\(294\) 0.880287 + 6.12253i 0.0513394 + 0.357073i
\(295\) 4.60898 + 25.6759i 0.268345 + 1.49491i
\(296\) 0.427028 + 0.492817i 0.0248205 + 0.0286444i
\(297\) 0.941505 + 3.20647i 0.0546317 + 0.186058i
\(298\) 13.8561i 0.802663i
\(299\) −16.0695 + 15.5874i −0.929323 + 0.901443i
\(300\) −0.341533 + 0.340325i −0.0197184 + 0.0196487i
\(301\) −17.5133 + 5.14236i −1.00945 + 0.296400i
\(302\) −19.1850 + 16.6239i −1.10397 + 0.956599i
\(303\) 7.39121 + 11.5010i 0.424614 + 0.660713i
\(304\) −3.12534 21.7372i −0.179251 1.24672i
\(305\) −6.09126 + 4.22125i −0.348785 + 0.241708i
\(306\) 2.92780 6.41098i 0.167371 0.366491i
\(307\) −5.74551 4.97852i −0.327914 0.284139i 0.475307 0.879820i \(-0.342337\pi\)
−0.803221 + 0.595681i \(0.796882\pi\)
\(308\) 0.170953 + 0.0245794i 0.00974096 + 0.00140054i
\(309\) 20.2072 + 44.2476i 1.14955 + 2.51716i
\(310\) −14.9851 12.0976i −0.851096 0.687100i
\(311\) 16.5580 + 4.86186i 0.938916 + 0.275691i 0.715165 0.698956i \(-0.246351\pi\)
0.223751 + 0.974646i \(0.428170\pi\)
\(312\) 31.6200 14.4404i 1.79013 0.817526i
\(313\) 2.68453 + 0.385977i 0.151738 + 0.0218167i 0.217765 0.976001i \(-0.430123\pi\)
−0.0660270 + 0.997818i \(0.521032\pi\)
\(314\) 20.7302 23.9239i 1.16987 1.35010i
\(315\) 18.3886 17.0900i 1.03608 0.962914i
\(316\) −0.256100 0.164586i −0.0144068 0.00925867i
\(317\) 2.90177 0.417211i 0.162980 0.0234329i −0.0603419 0.998178i \(-0.519219\pi\)
0.223322 + 0.974745i \(0.428310\pi\)
\(318\) −16.9895 26.4362i −0.952724 1.48247i
\(319\) −5.89829 6.80699i −0.330241 0.381118i
\(320\) −1.96224 + 18.1007i −0.109693 + 1.01186i
\(321\) 20.2299 1.12912
\(322\) 3.91572 + 19.4193i 0.218215 + 1.08220i
\(323\) 7.39154i 0.411277i
\(324\) 0.210035 0.0616717i 0.0116686 0.00342621i
\(325\) 23.2780 + 1.70631i 1.29123 + 0.0946492i
\(326\) −7.60164 + 4.88528i −0.421016 + 0.270570i
\(327\) −15.1240 + 2.17450i −0.836358 + 0.120250i
\(328\) −10.2446 + 15.9410i −0.565666 + 0.880193i
\(329\) 11.3487 24.8503i 0.625676 1.37004i
\(330\) 5.78974 + 11.5920i 0.318714 + 0.638121i
\(331\) −1.19997 + 8.34600i −0.0659565 + 0.458738i 0.929901 + 0.367810i \(0.119892\pi\)
−0.995857 + 0.0909277i \(0.971017\pi\)
\(332\) 0.227984 0.104117i 0.0125123 0.00571416i
\(333\) −0.245129 + 0.834834i −0.0134330 + 0.0457486i
\(334\) 13.1388 + 3.85789i 0.718921 + 0.211094i
\(335\) 0.820330 + 23.5533i 0.0448194 + 1.28686i
\(336\) 4.29664 29.8838i 0.234401 1.63029i
\(337\) 2.58459 + 2.23956i 0.140792 + 0.121997i 0.722410 0.691465i \(-0.243035\pi\)
−0.581618 + 0.813462i \(0.697580\pi\)
\(338\) −11.2041 5.11672i −0.609421 0.278313i
\(339\) −19.9503 12.8213i −1.08355 0.696355i
\(340\) −0.0270907 + 0.105749i −0.00146920 + 0.00573507i
\(341\) 8.19728 5.26808i 0.443908 0.285282i
\(342\) 22.5621 19.5502i 1.22002 1.05715i
\(343\) −4.40888 15.0153i −0.238057 0.810748i
\(344\) 17.6690 0.952649
\(345\) 19.3940 20.1691i 1.04414 1.08587i
\(346\) 12.6046 0.677628
\(347\) −2.04586 6.96754i −0.109827 0.374037i 0.886177 0.463348i \(-0.153352\pi\)
−0.996004 + 0.0893103i \(0.971534\pi\)
\(348\) 0.414099 0.358818i 0.0221980 0.0192347i
\(349\) 29.2341 18.7876i 1.56487 1.00568i 0.583825 0.811879i \(-0.301555\pi\)
0.981041 0.193799i \(-0.0620810\pi\)
\(350\) 12.4065 16.5121i 0.663153 0.882607i
\(351\) 8.27926 + 5.32076i 0.441914 + 0.284001i
\(352\) −0.301401 0.137645i −0.0160648 0.00733653i
\(353\) 18.0897 + 15.6748i 0.962815 + 0.834284i 0.986220 0.165442i \(-0.0529050\pi\)
−0.0234042 + 0.999726i \(0.507450\pi\)
\(354\) −6.06950 + 42.2143i −0.322590 + 2.24367i
\(355\) −16.7229 + 0.582436i −0.887559 + 0.0309125i
\(356\) 0.278964 + 0.0819113i 0.0147851 + 0.00434129i
\(357\) 2.86288 9.75007i 0.151520 0.516028i
\(358\) 17.3017 7.90142i 0.914423 0.417603i
\(359\) 1.74258 12.1199i 0.0919697 0.639663i −0.890740 0.454512i \(-0.849814\pi\)
0.982710 0.185151i \(-0.0592773\pi\)
\(360\) −21.7405 + 10.8584i −1.14582 + 0.572290i
\(361\) 5.11361 11.1972i 0.269137 0.589328i
\(362\) −2.37512 + 3.69575i −0.124833 + 0.194244i
\(363\) 21.9201 3.15163i 1.15051 0.165418i
\(364\) 0.427884 0.274984i 0.0224272 0.0144131i
\(365\) 0.214926 + 0.647661i 0.0112497 + 0.0339001i
\(366\) −11.6254 + 3.41351i −0.607667 + 0.178427i
\(367\) 0.210443i 0.0109850i 0.999985 + 0.00549251i \(0.00174833\pi\)
−0.999985 + 0.00549251i \(0.998252\pi\)
\(368\) 1.62848 18.7517i 0.0848903 0.977501i
\(369\) −25.2836 −1.31621
\(370\) −0.0771490 + 0.711662i −0.00401078 + 0.0369975i
\(371\) −16.5961 19.1529i −0.861626 0.994369i
\(372\) 0.320480 + 0.498676i 0.0166161 + 0.0258551i
\(373\) −11.2723 + 1.62071i −0.583655 + 0.0839170i −0.427817 0.903866i \(-0.640717\pi\)
−0.155839 + 0.987783i \(0.549808\pi\)
\(374\) 2.46802 + 1.58610i 0.127618 + 0.0820154i
\(375\) −29.1505 1.11864i −1.50532 0.0577664i
\(376\) −17.3182 + 19.9862i −0.893115 + 1.03071i
\(377\) −26.2551 3.77491i −1.35220 0.194418i
\(378\) 7.92164 3.61769i 0.407445 0.186074i
\(379\) 8.35975 + 2.45465i 0.429412 + 0.126087i 0.489294 0.872119i \(-0.337254\pi\)
−0.0598825 + 0.998205i \(0.519073\pi\)
\(380\) −0.290464 + 0.359792i −0.0149005 + 0.0184569i
\(381\) 6.86179 + 15.0252i 0.351540 + 0.769766i
\(382\) −1.91833 0.275814i −0.0981503 0.0141119i
\(383\) 6.13203 + 5.31344i 0.313332 + 0.271504i 0.797302 0.603581i \(-0.206260\pi\)
−0.483969 + 0.875085i \(0.660805\pi\)
\(384\) −11.9122 + 26.0840i −0.607890 + 1.33109i
\(385\) 5.95213 + 8.58891i 0.303348 + 0.437732i
\(386\) −0.524239 3.64616i −0.0266831 0.185585i
\(387\) 12.7459 + 19.8331i 0.647912 + 1.00817i
\(388\) −0.158497 + 0.137338i −0.00804646 + 0.00697230i
\(389\) −29.3900 + 8.62967i −1.49013 + 0.437542i −0.922583 0.385799i \(-0.873926\pi\)
−0.567548 + 0.823341i \(0.692108\pi\)
\(390\) 35.2416 + 14.6341i 1.78453 + 0.741027i
\(391\) 1.44074 6.16920i 0.0728616 0.311990i
\(392\) 4.82887i 0.243895i
\(393\) −3.53183 12.0283i −0.178157 0.606747i
\(394\) −12.8270 14.8032i −0.646215 0.745772i
\(395\) −3.25432 18.1293i −0.163743 0.912186i
\(396\) −0.0317474 0.220808i −0.00159537 0.0110960i
\(397\) −14.0670 + 21.8887i −0.706004 + 1.09856i 0.284177 + 0.958772i \(0.408280\pi\)
−0.990181 + 0.139792i \(0.955357\pi\)
\(398\) −17.2960 7.89883i −0.866972 0.395933i
\(399\) 28.1876 32.5302i 1.41114 1.62855i
\(400\) −15.7303 + 11.7321i −0.786515 + 0.586607i
\(401\) −13.4921 29.5435i −0.673762 1.47533i −0.869120 0.494601i \(-0.835314\pi\)
0.195358 0.980732i \(-0.437413\pi\)
\(402\) −10.8553 + 36.9698i −0.541414 + 1.84389i
\(403\) 8.08461 27.5336i 0.402723 1.37155i
\(404\) −0.0804412 0.176142i −0.00400210 0.00876338i
\(405\) 11.3844 + 6.76834i 0.565698 + 0.336321i
\(406\) −15.3706 + 17.7386i −0.762828 + 0.880351i
\(407\) −0.329449 0.150454i −0.0163302 0.00745774i
\(408\) −5.31816 + 8.27523i −0.263288 + 0.409685i
\(409\) −2.99322 20.8183i −0.148005 1.02940i −0.919479 0.393138i \(-0.871389\pi\)
0.771474 0.636261i \(-0.219520\pi\)
\(410\) −20.4741 + 3.67522i −1.01114 + 0.181506i
\(411\) −7.80611 9.00873i −0.385047 0.444368i
\(412\) −0.194111 0.661082i −0.00956317 0.0325692i
\(413\) 34.3944i 1.69244i
\(414\) 22.6417 11.9194i 1.11278 0.585805i
\(415\) 14.0049 + 5.81556i 0.687475 + 0.285475i
\(416\) −0.936268 + 0.274913i −0.0459043 + 0.0134787i
\(417\) 30.0038 25.9984i 1.46929 1.27315i
\(418\) 6.71852 + 10.4542i 0.328614 + 0.511333i
\(419\) 1.82939 + 12.7237i 0.0893716 + 0.621593i 0.984447 + 0.175679i \(0.0562122\pi\)
−0.895076 + 0.445914i \(0.852879\pi\)
\(420\) −0.522500 + 0.362093i −0.0254954 + 0.0176683i
\(421\) −10.5373 + 23.0735i −0.513558 + 1.12453i 0.458264 + 0.888816i \(0.348471\pi\)
−0.971821 + 0.235718i \(0.924256\pi\)
\(422\) −6.71997 5.82288i −0.327123 0.283454i
\(423\) −34.9269 5.02173i −1.69820 0.244165i
\(424\) 10.1912 + 22.3156i 0.494929 + 1.08374i
\(425\) −5.80258 + 3.15512i −0.281466 + 0.153046i
\(426\) −26.2486 7.70729i −1.27175 0.373419i
\(427\) −8.88823 + 4.05912i −0.430132 + 0.196435i
\(428\) −0.283622 0.0407787i −0.0137094 0.00197111i
\(429\) −12.6433 + 14.5911i −0.610424 + 0.704466i
\(430\) 13.2043 + 14.2076i 0.636768 + 0.685152i
\(431\) 16.3004 + 10.4756i 0.785163 + 0.504594i 0.870743 0.491738i \(-0.163638\pi\)
−0.0855803 + 0.996331i \(0.527274\pi\)
\(432\) −8.19012 + 1.17756i −0.394047 + 0.0566554i
\(433\) 4.18197 + 6.50727i 0.200973 + 0.312720i 0.927081 0.374860i \(-0.122309\pi\)
−0.726109 + 0.687580i \(0.758673\pi\)
\(434\) −16.6286 19.1904i −0.798198 0.921170i
\(435\) 32.9590 + 3.57298i 1.58026 + 0.171311i
\(436\) 0.216421 0.0103647
\(437\) 16.4069 21.2352i 0.784849 1.01582i
\(438\) 1.11564i 0.0533073i
\(439\) 23.5703 6.92087i 1.12495 0.330315i 0.334229 0.942492i \(-0.391524\pi\)
0.790721 + 0.612177i \(0.209706\pi\)
\(440\) −3.18601 9.60080i −0.151887 0.457700i
\(441\) 5.42030 3.48342i 0.258110 0.165877i
\(442\) 8.55181 1.22956i 0.406768 0.0584844i
\(443\) 14.9111 23.2021i 0.708446 1.10236i −0.281313 0.959616i \(-0.590770\pi\)
0.989759 0.142748i \(-0.0455937\pi\)
\(444\) 0.00915277 0.0200418i 0.000434371 0.000951140i
\(445\) 7.86014 + 15.7373i 0.372606 + 0.746022i
\(446\) 1.92177 13.3662i 0.0909985 0.632909i
\(447\) −23.4721 + 10.7194i −1.11019 + 0.507008i
\(448\) −6.76308 + 23.0329i −0.319526 + 1.08820i
\(449\) −29.4956 8.66069i −1.39198 0.408723i −0.502059 0.864833i \(-0.667424\pi\)
−0.889923 + 0.456110i \(0.849242\pi\)
\(450\) −24.9782 9.36680i −1.17748 0.441555i
\(451\) 1.49780 10.4174i 0.0705284 0.490536i
\(452\) 0.253857 + 0.219968i 0.0119404 + 0.0103464i
\(453\) 43.0027 + 19.6387i 2.02044 + 0.922705i
\(454\) −22.1239 14.2181i −1.03832 0.667291i
\(455\) 29.8114 + 7.63702i 1.39758 + 0.358029i
\(456\) −35.0528 + 22.5271i −1.64150 + 1.05493i
\(457\) −6.82146 + 5.91082i −0.319094 + 0.276497i −0.799649 0.600468i \(-0.794981\pi\)
0.480554 + 0.876965i \(0.340435\pi\)
\(458\) 6.55621 + 22.3284i 0.306352 + 1.04334i
\(459\) −2.78497 −0.129991
\(460\) −0.312560 + 0.243676i −0.0145732 + 0.0113614i
\(461\) 30.1893 1.40606 0.703028 0.711162i \(-0.251831\pi\)
0.703028 + 0.711162i \(0.251831\pi\)
\(462\) 4.81319 + 16.3922i 0.223930 + 0.762635i
\(463\) −21.9850 + 19.0501i −1.02173 + 0.885332i −0.993450 0.114268i \(-0.963548\pi\)
−0.0282782 + 0.999600i \(0.509002\pi\)
\(464\) 18.7608 12.0568i 0.870949 0.559725i
\(465\) −8.90054 + 34.7436i −0.412753 + 1.61119i
\(466\) −15.9214 10.2320i −0.737544 0.473990i
\(467\) 19.4254 + 8.87127i 0.898899 + 0.410513i 0.810613 0.585582i \(-0.199134\pi\)
0.0882857 + 0.996095i \(0.471861\pi\)
\(468\) −0.496495 0.430215i −0.0229505 0.0198867i
\(469\) −4.42222 + 30.7572i −0.204199 + 1.42024i
\(470\) −29.0130 + 1.01048i −1.33827 + 0.0466101i
\(471\) −56.5641 16.6087i −2.60634 0.765289i
\(472\) 9.38020 31.9460i 0.431758 1.47043i
\(473\) −8.92673 + 4.07670i −0.410451 + 0.187447i
\(474\) 4.28557 29.8068i 0.196843 1.36907i
\(475\) −27.9097 + 1.94648i −1.28059 + 0.0893105i
\(476\) −0.0597912 + 0.130925i −0.00274053 + 0.00600092i
\(477\) −17.6971 + 27.5373i −0.810297 + 1.26085i
\(478\) 5.42400 0.779853i 0.248088 0.0356696i
\(479\) 21.8930 14.0698i 1.00032 0.642865i 0.0654482 0.997856i \(-0.479152\pi\)
0.934870 + 0.354991i \(0.115516\pi\)
\(480\) 1.15752 0.384121i 0.0528332 0.0175326i
\(481\) −1.02339 + 0.300495i −0.0466627 + 0.0137014i
\(482\) 13.6584i 0.622123i
\(483\) 29.8669 21.6564i 1.35899 0.985399i
\(484\) −0.313671 −0.0142578
\(485\) −12.6151 1.36756i −0.572823 0.0620979i
\(486\) 19.9830 + 23.0616i 0.906447 + 1.04610i
\(487\) −8.74048 13.6005i −0.396069 0.616295i 0.584751 0.811213i \(-0.301192\pi\)
−0.980820 + 0.194918i \(0.937556\pi\)
\(488\) 9.36254 1.34613i 0.423822 0.0609364i
\(489\) 14.1564 + 9.09775i 0.640174 + 0.411415i
\(490\) 3.88289 3.60869i 0.175411 0.163024i
\(491\) −11.1213 + 12.8347i −0.501899 + 0.579223i −0.949006 0.315258i \(-0.897909\pi\)
0.447107 + 0.894481i \(0.352454\pi\)
\(492\) 0.633735 + 0.0911173i 0.0285710 + 0.00410788i
\(493\) 6.82776 3.11813i 0.307507 0.140434i
\(494\) 35.1144 + 10.3105i 1.57987 + 0.463893i
\(495\) 8.47838 10.5020i 0.381075 0.472029i
\(496\) 10.0224 + 21.9461i 0.450020 + 0.985407i
\(497\) −21.8377 3.13978i −0.979553 0.140839i
\(498\) 18.7367 + 16.2354i 0.839611 + 0.727527i
\(499\) −8.55147 + 18.7251i −0.382816 + 0.838251i 0.615911 + 0.787816i \(0.288788\pi\)
−0.998727 + 0.0504351i \(0.983939\pi\)
\(500\) 0.406433 + 0.0744438i 0.0181762 + 0.00332923i
\(501\) −3.62917 25.2415i −0.162139 1.12770i
\(502\) −13.0288 20.2731i −0.581502 0.904834i
\(503\) 4.26993 3.69991i 0.190387 0.164971i −0.554452 0.832216i \(-0.687072\pi\)
0.744838 + 0.667245i \(0.232527\pi\)
\(504\) −30.7430 + 9.02695i −1.36940 + 0.402092i
\(505\) 4.49313 10.8203i 0.199942 0.481495i
\(506\) 3.56976 + 10.0350i 0.158695 + 0.446108i
\(507\) 22.9380i 1.01871i
\(508\) −0.0659147 0.224485i −0.00292449 0.00995990i
\(509\) −23.0053 26.5496i −1.01969 1.17679i −0.984135 0.177421i \(-0.943225\pi\)
−0.0355580 0.999368i \(-0.511321\pi\)
\(510\) −10.6284 + 1.90787i −0.470635 + 0.0844817i
\(511\) 0.128044 + 0.890564i 0.00566432 + 0.0393962i
\(512\) 12.5549 19.5359i 0.554855 0.863372i
\(513\) −10.7307 4.90056i −0.473773 0.216365i
\(514\) 8.15743 9.41418i 0.359809 0.415242i
\(515\) 21.3033 35.8324i 0.938734 1.57897i
\(516\) −0.248003 0.543051i −0.0109177 0.0239065i
\(517\) 4.13813 14.0932i 0.181995 0.619817i
\(518\) −0.265903 + 0.905581i −0.0116831 + 0.0397889i
\(519\) −9.75117 21.3521i −0.428029 0.937252i
\(520\) −25.6064 15.2237i −1.12292 0.667602i
\(521\) 6.79035 7.83648i 0.297491 0.343323i −0.587250 0.809405i \(-0.699790\pi\)
0.884741 + 0.466083i \(0.154335\pi\)
\(522\) 27.5768 + 12.5939i 1.20701 + 0.551221i
\(523\) 21.3504 33.2219i 0.933589 1.45269i 0.0423796 0.999102i \(-0.486506\pi\)
0.891210 0.453592i \(-0.149858\pi\)
\(524\) 0.0252698 + 0.175755i 0.00110392 + 0.00767791i
\(525\) −37.5692 8.24237i −1.63965 0.359727i
\(526\) 2.37990 + 2.74655i 0.103769 + 0.119755i
\(527\) 2.28779 + 7.79148i 0.0996575 + 0.339402i
\(528\) 16.2323i 0.706420i
\(529\) 17.8328 14.5255i 0.775339 0.631545i
\(530\) −10.3279 + 24.8715i −0.448617 + 1.08035i
\(531\) 42.6253 12.5159i 1.84978 0.543145i
\(532\) −0.460761 + 0.399252i −0.0199765 + 0.0173098i
\(533\) −16.7568 26.0740i −0.725816 1.12939i
\(534\) 4.09291 + 28.4668i 0.177118 + 1.23188i
\(535\) −9.87495 14.2495i −0.426931 0.616062i
\(536\) 12.4957 27.3617i 0.539731 1.18185i
\(537\) −26.7698 23.1962i −1.15520 1.00099i
\(538\) 3.80269 + 0.546744i 0.163945 + 0.0235718i
\(539\) 1.11415 + 2.43964i 0.0479897 + 0.105083i
\(540\) 0.135562 + 0.109440i 0.00583364 + 0.00470957i
\(541\) 4.70539 + 1.38163i 0.202300 + 0.0594007i 0.381313 0.924446i \(-0.375472\pi\)
−0.179013 + 0.983847i \(0.557290\pi\)
\(542\) 17.6647 8.06721i 0.758765 0.346516i
\(543\) 8.09800 + 1.16432i 0.347519 + 0.0499656i
\(544\) 0.180827 0.208686i 0.00775290 0.00894732i
\(545\) 8.91425 + 9.59159i 0.381844 + 0.410859i
\(546\) 42.3254 + 27.2009i 1.81136 + 1.16409i
\(547\) −19.3788 + 2.78626i −0.828579 + 0.119132i −0.543539 0.839384i \(-0.682916\pi\)
−0.285040 + 0.958516i \(0.592007\pi\)
\(548\) 0.0912818 + 0.142037i 0.00389936 + 0.00606753i
\(549\) 8.26488 + 9.53818i 0.352736 + 0.407079i
\(550\) 5.33903 9.73668i 0.227657 0.415173i
\(551\) 31.7947 1.35450
\(552\) −33.6470 + 11.9693i −1.43211 + 0.509448i
\(553\) 24.2853i 1.03272i
\(554\) −3.93860 + 1.15648i −0.167335 + 0.0491340i
\(555\) 1.26523 0.419866i 0.0537061 0.0178223i
\(556\) −0.473058 + 0.304016i −0.0200621 + 0.0128932i
\(557\) −20.7623 + 2.98516i −0.879725 + 0.126485i −0.567353 0.823474i \(-0.692033\pi\)
−0.312372 + 0.949960i \(0.601124\pi\)
\(558\) −17.7318 + 27.5913i −0.750648 + 1.16803i
\(559\) −12.0057 + 26.2888i −0.507787 + 1.11190i
\(560\) −23.1469 + 11.5609i −0.978134 + 0.488537i
\(561\) 0.777531 5.40784i 0.0328274 0.228319i
\(562\) 31.1611 14.2308i 1.31445 0.600289i
\(563\) −0.692647 + 2.35894i −0.0291916 + 0.0994174i −0.972800 0.231645i \(-0.925589\pi\)
0.943609 + 0.331063i \(0.107407\pi\)
\(564\) 0.857348 + 0.251740i 0.0361009 + 0.0106002i
\(565\) 0.707408 + 20.3111i 0.0297609 + 0.854494i
\(566\) −3.96998 + 27.6118i −0.166871 + 1.16061i
\(567\) 13.1974 + 11.4356i 0.554237 + 0.480249i
\(568\) 19.4268 + 8.87194i 0.815132 + 0.372258i
\(569\) −4.13174 2.65531i −0.173212 0.111316i 0.451162 0.892442i \(-0.351010\pi\)
−0.624374 + 0.781126i \(0.714646\pi\)
\(570\) −44.3094 11.3511i −1.85592 0.475445i
\(571\) −6.45163 + 4.14621i −0.269992 + 0.173514i −0.668631 0.743595i \(-0.733119\pi\)
0.398638 + 0.917108i \(0.369483\pi\)
\(572\) 0.206670 0.179081i 0.00864133 0.00748775i
\(573\) 1.01683 + 3.46301i 0.0424787 + 0.144669i
\(574\) −27.4262 −1.14475
\(575\) −23.6737 3.81552i −0.987260 0.159118i
\(576\) 31.0060 1.29192
\(577\) 9.77699 + 33.2974i 0.407021 + 1.38619i 0.867022 + 0.498269i \(0.166031\pi\)
−0.460001 + 0.887918i \(0.652151\pi\)
\(578\) 16.1531 13.9967i 0.671880 0.582187i
\(579\) −5.77100 + 3.70880i −0.239835 + 0.154132i
\(580\) −0.454881 0.116531i −0.0188879 0.00483867i
\(581\) 16.8200 + 10.8096i 0.697812 + 0.448457i
\(582\) −18.8705 8.61788i −0.782209 0.357223i
\(583\) −10.2976 8.92292i −0.426483 0.369550i
\(584\) 0.123950 0.862089i 0.00512908 0.0356735i
\(585\) −1.38355 39.7246i −0.0572029 1.64241i
\(586\) 15.0794 + 4.42770i 0.622923 + 0.182907i
\(587\) −6.36972 + 21.6933i −0.262906 + 0.895377i 0.717194 + 0.696874i \(0.245426\pi\)
−0.980100 + 0.198503i \(0.936392\pi\)
\(588\) −0.148414 + 0.0677783i −0.00612048 + 0.00279513i
\(589\) −4.89521 + 34.0469i −0.201704 + 1.40288i
\(590\) 32.6977 16.3311i 1.34614 0.672341i
\(591\) −15.1532 + 33.1808i −0.623318 + 1.36488i
\(592\) 0.484818 0.754391i 0.0199259 0.0310053i
\(593\) 13.3866 1.92471i 0.549723 0.0790383i 0.138144 0.990412i \(-0.455886\pi\)
0.411579 + 0.911374i \(0.364977\pi\)
\(594\) 3.93892 2.53139i 0.161616 0.103864i
\(595\) −8.26524 + 2.74281i −0.338842 + 0.112444i
\(596\) 0.350686 0.102971i 0.0143646 0.00421784i
\(597\) 35.4100i 1.44923i
\(598\) 27.2978 + 15.4499i 1.11629 + 0.631793i
\(599\) 24.1718 0.987634 0.493817 0.869566i \(-0.335601\pi\)
0.493817 + 0.869566i \(0.335601\pi\)
\(600\) 32.6469 + 17.9017i 1.33280 + 0.730832i
\(601\) 3.63800 + 4.19847i 0.148397 + 0.171259i 0.825081 0.565014i \(-0.191129\pi\)
−0.676684 + 0.736273i \(0.736584\pi\)
\(602\) 13.8261 + 21.5138i 0.563509 + 0.876836i
\(603\) 39.7269 5.71187i 1.61781 0.232605i
\(604\) −0.563308 0.362016i −0.0229207 0.0147302i
\(605\) −12.9199 13.9016i −0.525270 0.565182i
\(606\) 12.5436 14.4760i 0.509547 0.588049i
\(607\) −13.6988 1.96959i −0.556016 0.0799431i −0.141422 0.989949i \(-0.545167\pi\)
−0.414594 + 0.910006i \(0.636077\pi\)
\(608\) 1.06396 0.485892i 0.0431491 0.0197055i
\(609\) 41.9399 + 12.3147i 1.69949 + 0.499016i
\(610\) 8.07918 + 6.52242i 0.327116 + 0.264085i
\(611\) −17.9692 39.3470i −0.726955 1.59181i
\(612\) 0.184014 + 0.0264572i 0.00743831 + 0.00106947i
\(613\) 2.55345 + 2.21258i 0.103133 + 0.0893651i 0.704901 0.709306i \(-0.250991\pi\)
−0.601768 + 0.798671i \(0.705537\pi\)
\(614\) −4.42484 + 9.68906i −0.178572 + 0.391019i
\(615\) 22.0649 + 31.8397i 0.889743 + 1.28390i
\(616\) −1.89809 13.2015i −0.0764764 0.531905i
\(617\) −20.9757 32.6389i −0.844451 1.31399i −0.947643 0.319331i \(-0.896542\pi\)
0.103192 0.994661i \(-0.467094\pi\)
\(618\) 51.5070 44.6311i 2.07192 1.79533i
\(619\) 2.59883 0.763087i 0.104456 0.0306710i −0.229087 0.973406i \(-0.573574\pi\)
0.333543 + 0.942735i \(0.391756\pi\)
\(620\) 0.194820 0.469162i 0.00782416 0.0188420i
\(621\) −8.00097 6.18176i −0.321068 0.248066i
\(622\) 24.1785i 0.969471i
\(623\) 6.53437 + 22.2540i 0.261794 + 0.891589i
\(624\) −31.3046 36.1274i −1.25319 1.44625i
\(625\) 13.4415 + 21.0791i 0.537658 + 0.843163i
\(626\) −0.540786 3.76125i −0.0216142 0.150330i
\(627\) 12.5118 19.4687i 0.499672 0.777505i
\(628\) 0.759546 + 0.346873i 0.0303092 + 0.0138418i
\(629\) 0.197654 0.228105i 0.00788099 0.00909515i
\(630\) −30.2332 17.9744i −1.20452 0.716118i
\(631\) −16.5157 36.1643i −0.657480 1.43968i −0.884852 0.465872i \(-0.845741\pi\)
0.227373 0.973808i \(-0.426986\pi\)
\(632\) −6.62319 + 22.5565i −0.263456 + 0.897250i
\(633\) −4.66521 + 15.8883i −0.185426 + 0.631501i
\(634\) −1.70629 3.73626i −0.0677655 0.148386i
\(635\) 7.23399 12.1677i 0.287072 0.482860i
\(636\) 0.542819 0.626447i 0.0215242 0.0248402i
\(637\) 7.18464 + 3.28111i 0.284666 + 0.130002i
\(638\) −6.82262 + 10.6162i −0.270110 + 0.420299i
\(639\) 4.05544 + 28.2062i 0.160431 + 1.11582i
\(640\) 24.1878 4.34185i 0.956108 0.171627i
\(641\) −6.33688 7.31315i −0.250292 0.288852i 0.616675 0.787218i \(-0.288479\pi\)
−0.866967 + 0.498366i \(0.833934\pi\)
\(642\) −7.98538 27.1957i −0.315158 1.07333i
\(643\) 32.3558i 1.27599i 0.770041 + 0.637994i \(0.220235\pi\)
−0.770041 + 0.637994i \(0.779765\pi\)
\(644\) −0.462386 + 0.243417i −0.0182206 + 0.00959196i
\(645\) 13.8525 33.3592i 0.545440 1.31352i
\(646\) −9.93669 + 2.91768i −0.390954 + 0.114794i
\(647\) −16.6254 + 14.4060i −0.653611 + 0.566357i −0.917274 0.398258i \(-0.869615\pi\)
0.263662 + 0.964615i \(0.415070\pi\)
\(648\) −9.13914 14.2208i −0.359019 0.558645i
\(649\) 2.63172 + 18.3040i 0.103304 + 0.718495i
\(650\) −6.89473 31.9670i −0.270433 1.25385i
\(651\) −19.6442 + 43.0148i −0.769916 + 1.68588i
\(652\) −0.180133 0.156086i −0.00705454 0.00611280i
\(653\) −2.06514 0.296923i −0.0808152 0.0116195i 0.101789 0.994806i \(-0.467543\pi\)
−0.182604 + 0.983187i \(0.558453\pi\)
\(654\) 8.89317 + 19.4733i 0.347750 + 0.761467i
\(655\) −6.74849 + 8.35920i −0.263685 + 0.326621i
\(656\) 25.0030 + 7.34153i 0.976202 + 0.286639i
\(657\) 1.05709 0.482757i 0.0412410 0.0188341i
\(658\) −37.8867 5.44729i −1.47698 0.212358i
\(659\) 2.87363 3.31634i 0.111941 0.129186i −0.697014 0.717058i \(-0.745488\pi\)
0.808954 + 0.587871i \(0.200034\pi\)
\(660\) −0.250358 + 0.232678i −0.00974518 + 0.00905699i
\(661\) −18.4504 11.8574i −0.717639 0.461199i 0.130176 0.991491i \(-0.458446\pi\)
−0.847815 + 0.530292i \(0.822082\pi\)
\(662\) 11.6935 1.68127i 0.454480 0.0653443i
\(663\) −8.69871 13.5355i −0.337830 0.525674i
\(664\) −12.6746 14.6273i −0.491871 0.567650i
\(665\) −36.6730 3.97560i −1.42212 0.154167i
\(666\) 1.21906 0.0472374
\(667\) 26.5368 + 6.19737i 1.02751 + 0.239963i
\(668\) 0.361199i 0.0139752i
\(669\) −24.1290 + 7.08490i −0.932879 + 0.273918i
\(670\) 31.3397 10.4000i 1.21076 0.401789i
\(671\) −4.41955 + 2.84027i −0.170615 + 0.109647i
\(672\) 1.59164 0.228843i 0.0613989 0.00882783i
\(673\) −17.8662 + 27.8003i −0.688690 + 1.07162i 0.304202 + 0.952608i \(0.401610\pi\)
−0.992892 + 0.119016i \(0.962026\pi\)
\(674\) 1.99050 4.35858i 0.0766711 0.167886i
\(675\) 0.733390 + 10.5158i 0.0282282 + 0.404752i
\(676\) 0.0462375 0.321589i 0.00177837 0.0123688i
\(677\) −28.8393 + 13.1705i −1.10838 + 0.506182i −0.883608 0.468228i \(-0.844893\pi\)
−0.224777 + 0.974410i \(0.572165\pi\)
\(678\) −9.36103 + 31.8807i −0.359508 + 1.22437i
\(679\) −16.0526 4.71346i −0.616042 0.180886i
\(680\) 8.42490 0.293428i 0.323080 0.0112524i
\(681\) −6.96995 + 48.4770i −0.267089 + 1.85764i
\(682\) −10.3178 8.94040i −0.395088 0.342346i
\(683\) −14.1586 6.46599i −0.541762 0.247414i 0.125687 0.992070i \(-0.459886\pi\)
−0.667449 + 0.744656i \(0.732614\pi\)
\(684\) 0.662465 + 0.425741i 0.0253300 + 0.0162786i
\(685\) −2.53513 + 9.89596i −0.0968623 + 0.378105i
\(686\) −18.4452 + 11.8540i −0.704240 + 0.452588i
\(687\) 32.7521 28.3798i 1.24957 1.08276i
\(688\) −6.84559 23.3139i −0.260986 0.888836i
\(689\) −40.1270 −1.52872
\(690\) −34.7694 18.1107i −1.32365 0.689461i
\(691\) −42.2733 −1.60815 −0.804076 0.594527i \(-0.797339\pi\)
−0.804076 + 0.594527i \(0.797339\pi\)
\(692\) 0.0936701 + 0.319011i 0.00356080 + 0.0121270i
\(693\) 13.4492 11.6538i 0.510893 0.442691i
\(694\) −8.55913 + 5.50062i −0.324900 + 0.208801i
\(695\) −32.9587 8.44330i −1.25020 0.320273i
\(696\) −35.5959 22.8761i −1.34926 0.867116i
\(697\) 7.97817 + 3.64351i 0.302195 + 0.138008i
\(698\) −36.7964 31.8843i −1.39277 1.20684i
\(699\) −5.01590 + 34.8864i −0.189719 + 1.31952i
\(700\) 0.510103 + 0.191288i 0.0192801 + 0.00723001i
\(701\) 41.6290 + 12.2234i 1.57231 + 0.461671i 0.947672 0.319246i \(-0.103430\pi\)
0.624635 + 0.780917i \(0.285248\pi\)
\(702\) 3.88478 13.2303i 0.146622 0.499347i
\(703\) 1.16296 0.531107i 0.0438620 0.0200311i
\(704\) −1.83679 + 12.7751i −0.0692266 + 0.481481i
\(705\) 24.1568 + 48.3660i 0.909796 + 1.82157i
\(706\) 13.9316 30.5058i 0.524321 1.14810i
\(707\) 8.35152 12.9952i 0.314091 0.488736i
\(708\) −1.11351 + 0.160099i −0.0418483 + 0.00601688i
\(709\) 30.2132 19.4168i 1.13468 0.729215i 0.168148 0.985762i \(-0.446221\pi\)
0.966532 + 0.256547i \(0.0825849\pi\)
\(710\) 7.38404 + 22.2512i 0.277118 + 0.835074i
\(711\) −30.0970 + 8.83727i −1.12873 + 0.331424i
\(712\) 22.4519i 0.841422i
\(713\) −10.7220 + 27.4624i −0.401544 + 1.02847i
\(714\) −14.2374 −0.532821
\(715\) 16.4494 + 1.78322i 0.615171 + 0.0666887i
\(716\) 0.328554 + 0.379171i 0.0122786 + 0.0141703i
\(717\) −5.51717 8.58489i −0.206043 0.320608i
\(718\) −16.9810 + 2.44150i −0.633725 + 0.0911160i
\(719\) 0.284312 + 0.182716i 0.0106030 + 0.00681416i 0.545932 0.837830i \(-0.316176\pi\)
−0.535329 + 0.844644i \(0.679812\pi\)
\(720\) 22.7505 + 24.4792i 0.847862 + 0.912286i
\(721\) 35.9934 41.5386i 1.34046 1.54698i
\(722\) −17.0713 2.45448i −0.635329 0.0913465i
\(723\) −23.1372 + 10.5664i −0.860481 + 0.392968i
\(724\) −0.111187 0.0326473i −0.00413222 0.00121333i
\(725\) −13.5718 24.9598i −0.504043 0.926984i
\(726\) −12.8894 28.2238i −0.478370 1.04748i
\(727\) 3.30099 + 0.474610i 0.122427 + 0.0176023i 0.203256 0.979126i \(-0.434848\pi\)
−0.0808290 + 0.996728i \(0.525757\pi\)
\(728\) −29.6841 25.7214i −1.10017 0.953300i
\(729\) 16.2253 35.5284i 0.600936 1.31587i
\(730\) 0.785834 0.544584i 0.0290850 0.0201560i
\(731\) −1.16389 8.09503i −0.0430480 0.299405i
\(732\) −0.172786 0.268860i −0.00638635 0.00993735i
\(733\) 28.7160 24.8826i 1.06065 0.919060i 0.0637693 0.997965i \(-0.479688\pi\)
0.996882 + 0.0789050i \(0.0251424\pi\)
\(734\) 0.282905 0.0830684i 0.0104422 0.00306611i
\(735\) −9.11696 3.78583i −0.336284 0.139642i
\(736\) 0.982716 0.198155i 0.0362234 0.00730411i
\(737\) 16.7067i 0.615400i
\(738\) 9.98023 + 33.9896i 0.367377 + 1.25117i
\(739\) 10.3211 + 11.9112i 0.379668 + 0.438161i 0.913133 0.407662i \(-0.133656\pi\)
−0.533465 + 0.845822i \(0.679110\pi\)
\(740\) −0.0185848 + 0.00333609i −0.000683192 + 0.000122637i
\(741\) −9.69927 67.4599i −0.356312 2.47820i
\(742\) −19.1969 + 29.8709i −0.704739 + 1.09660i
\(743\) 23.4293 + 10.6998i 0.859538 + 0.392538i 0.795895 0.605435i \(-0.207001\pi\)
0.0636434 + 0.997973i \(0.479728\pi\)
\(744\) 29.9770 34.5953i 1.09901 1.26832i
\(745\) 19.0081 + 11.3008i 0.696403 + 0.414029i
\(746\) 6.62828 + 14.5139i 0.242679 + 0.531392i
\(747\) 7.27570 24.7787i 0.266204 0.906607i
\(748\) −0.0218019 + 0.0742504i −0.000797155 + 0.00271486i
\(749\) −9.49567 20.7926i −0.346964 0.759746i
\(750\) 10.0028 + 39.6295i 0.365250 + 1.44706i
\(751\) −26.6918 + 30.8040i −0.973998 + 1.12405i 0.0182565 + 0.999833i \(0.494188\pi\)
−0.992255 + 0.124220i \(0.960357\pi\)
\(752\) 33.0811 + 15.1076i 1.20634 + 0.550919i
\(753\) −24.2632 + 37.7543i −0.884200 + 1.37584i
\(754\) 5.28897 + 36.7856i 0.192613 + 1.33965i
\(755\) −7.15808 39.8766i −0.260509 1.45126i
\(756\) 0.150429 + 0.173605i 0.00547107 + 0.00631395i
\(757\) 9.34741 + 31.8344i 0.339737 + 1.15704i 0.935337 + 0.353758i \(0.115096\pi\)
−0.595600 + 0.803281i \(0.703085\pi\)
\(758\) 12.2072i 0.443386i
\(759\) 14.2375 13.8104i 0.516788 0.501285i
\(760\) 32.9782 + 13.6942i 1.19624 + 0.496742i
\(761\) −27.2664 + 8.00614i −0.988407 + 0.290222i −0.735690 0.677318i \(-0.763142\pi\)
−0.252716 + 0.967540i \(0.581324\pi\)
\(762\) 17.4903 15.1555i 0.633608 0.549025i
\(763\) 9.33400 + 14.5240i 0.337914 + 0.525804i
\(764\) −0.00727531 0.0506009i −0.000263211 0.00183068i
\(765\) 6.40686 + 9.24509i 0.231640 + 0.334257i
\(766\) 4.72252 10.3409i 0.170632 0.373631i
\(767\) 41.1572 + 35.6629i 1.48610 + 1.28771i
\(768\) −2.28996 0.329247i −0.0826319 0.0118807i
\(769\) −4.94521 10.8285i −0.178329 0.390486i 0.799267 0.600976i \(-0.205221\pi\)
−0.977596 + 0.210490i \(0.932494\pi\)
\(770\) 9.19686 11.3920i 0.331432 0.410537i
\(771\) −22.2583 6.53562i −0.801612 0.235375i
\(772\) 0.0883852 0.0403642i 0.00318105 0.00145274i
\(773\) 23.9836 + 3.44832i 0.862629 + 0.124027i 0.559408 0.828893i \(-0.311029\pi\)