Properties

Label 576.2.bm.a.205.29
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.29
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.29

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.832522 - 1.14320i) q^{2} +(-0.342098 - 1.69793i) q^{3} +(-0.613814 + 1.90348i) q^{4} +(1.06020 + 1.20893i) q^{5} +(-1.65627 + 1.80465i) q^{6} +(0.0200891 + 0.00264478i) q^{7} +(2.68707 - 0.882976i) q^{8} +(-2.76594 + 1.16172i) q^{9} +O(q^{10})\) \(q+(-0.832522 - 1.14320i) q^{2} +(-0.342098 - 1.69793i) q^{3} +(-0.613814 + 1.90348i) q^{4} +(1.06020 + 1.20893i) q^{5} +(-1.65627 + 1.80465i) q^{6} +(0.0200891 + 0.00264478i) q^{7} +(2.68707 - 0.882976i) q^{8} +(-2.76594 + 1.16172i) q^{9} +(0.499406 - 2.21848i) q^{10} +(0.486341 + 0.986202i) q^{11} +(3.44196 + 0.391038i) q^{12} +(-1.37041 - 4.03710i) q^{13} +(-0.0137011 - 0.0251677i) q^{14} +(1.68998 - 2.21372i) q^{15} +(-3.24646 - 2.33676i) q^{16} +(-2.58058 - 2.58058i) q^{17} +(3.63078 + 2.19487i) q^{18} +(0.725210 - 3.64588i) q^{19} +(-2.95193 + 1.27601i) q^{20} +(-0.00238178 - 0.0350147i) q^{21} +(0.722537 - 1.37702i) q^{22} +(-0.902673 - 6.85648i) q^{23} +(-2.41847 - 4.26040i) q^{24} +(0.315151 - 2.39381i) q^{25} +(-3.47432 + 4.92763i) q^{26} +(2.91874 + 4.29895i) q^{27} +(-0.0173653 + 0.0366158i) q^{28} +(-8.38882 + 0.549832i) q^{29} +(-3.93767 - 0.0890192i) q^{30} +(4.82349 - 2.78484i) q^{31} +(0.0313625 + 5.65677i) q^{32} +(1.50813 - 1.16315i) q^{33} +(-0.801730 + 5.09850i) q^{34} +(0.0181011 + 0.0270903i) q^{35} +(-0.513531 - 5.97798i) q^{36} +(-0.768663 - 3.86433i) q^{37} +(-4.77172 + 2.20621i) q^{38} +(-6.38591 + 3.70795i) q^{39} +(3.91629 + 2.31234i) q^{40} +(0.345101 + 2.62130i) q^{41} +(-0.0380459 + 0.0318734i) q^{42} +(11.4323 - 5.63777i) q^{43} +(-2.17574 + 0.320395i) q^{44} +(-4.33688 - 2.11217i) q^{45} +(-7.08684 + 6.74011i) q^{46} +(0.949695 - 0.254470i) q^{47} +(-2.85706 + 6.31167i) q^{48} +(-6.76108 - 1.81163i) q^{49} +(-2.99898 + 1.63262i) q^{50} +(-3.49883 + 5.26445i) q^{51} +(8.52572 - 0.130519i) q^{52} +(-5.06067 + 7.57383i) q^{53} +(2.48465 - 6.91567i) q^{54} +(-0.676628 + 1.63352i) q^{55} +(0.0563162 - 0.0106315i) q^{56} +(-6.43854 + 0.0158896i) q^{57} +(7.61245 + 9.13235i) q^{58} +(4.48497 + 5.11413i) q^{59} +(3.17643 + 4.57566i) q^{60} +(0.656604 + 10.0178i) q^{61} +(-7.19929 - 3.19577i) q^{62} +(-0.0586377 + 0.0160226i) q^{63} +(6.44071 - 4.74524i) q^{64} +(3.42765 - 5.93687i) q^{65} +(-2.58526 - 0.755743i) q^{66} +(-7.84050 - 3.86651i) q^{67} +(6.49607 - 3.32808i) q^{68} +(-11.3330 + 3.87826i) q^{69} +(0.0159000 - 0.0432465i) q^{70} +(-0.699528 - 1.68881i) q^{71} +(-6.40651 + 5.56387i) q^{72} +(2.18322 - 5.27076i) q^{73} +(-3.77777 + 4.09587i) q^{74} +(-4.17234 + 0.283813i) q^{75} +(6.49470 + 3.61831i) q^{76} +(0.00716187 + 0.0210982i) q^{77} +(9.55534 + 4.21342i) q^{78} +(1.72721 + 6.44604i) q^{79} +(-0.616925 - 6.40218i) q^{80} +(6.30083 - 6.42647i) q^{81} +(2.70937 - 2.57681i) q^{82} +(-2.44826 - 2.14707i) q^{83} +(0.0681117 + 0.0169588i) q^{84} +(0.383800 - 5.85566i) q^{85} +(-15.9627 - 8.37580i) q^{86} +(3.80337 + 14.0555i) q^{87} +(2.17763 + 2.22057i) q^{88} +(5.43036 - 2.24933i) q^{89} +(1.19592 + 6.71635i) q^{90} +(-0.0168531 - 0.0847263i) q^{91} +(13.6052 + 2.49039i) q^{92} +(-6.37857 - 7.23726i) q^{93} +(-1.08155 - 0.873840i) q^{94} +(5.17647 - 2.98863i) q^{95} +(9.59407 - 1.98842i) q^{96} +(2.86071 + 1.65163i) q^{97} +(3.55770 + 9.23749i) q^{98} +(-2.49088 - 2.16278i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.832522 1.14320i −0.588682 0.808365i
\(3\) −0.342098 1.69793i −0.197510 0.980301i
\(4\) −0.613814 + 1.90348i −0.306907 + 0.951739i
\(5\) 1.06020 + 1.20893i 0.474136 + 0.540649i 0.938629 0.344928i \(-0.112097\pi\)
−0.464493 + 0.885577i \(0.653763\pi\)
\(6\) −1.65627 + 1.80465i −0.676170 + 0.736746i
\(7\) 0.0200891 + 0.00264478i 0.00759297 + 0.000999634i 0.134322 0.990938i \(-0.457114\pi\)
−0.126729 + 0.991937i \(0.540448\pi\)
\(8\) 2.68707 0.882976i 0.950023 0.312179i
\(9\) −2.76594 + 1.16172i −0.921979 + 0.387239i
\(10\) 0.499406 2.21848i 0.157926 0.701545i
\(11\) 0.486341 + 0.986202i 0.146637 + 0.297351i 0.957783 0.287494i \(-0.0928220\pi\)
−0.811145 + 0.584845i \(0.801155\pi\)
\(12\) 3.44196 + 0.391038i 0.993608 + 0.112883i
\(13\) −1.37041 4.03710i −0.380084 1.11969i −0.953750 0.300602i \(-0.902813\pi\)
0.573666 0.819089i \(-0.305521\pi\)
\(14\) −0.0137011 0.0251677i −0.00366178 0.00672636i
\(15\) 1.68998 2.21372i 0.436352 0.571580i
\(16\) −3.24646 2.33676i −0.811616 0.584191i
\(17\) −2.58058 2.58058i −0.625882 0.625882i 0.321147 0.947029i \(-0.395932\pi\)
−0.947029 + 0.321147i \(0.895932\pi\)
\(18\) 3.63078 + 2.19487i 0.855783 + 0.517335i
\(19\) 0.725210 3.64588i 0.166375 0.836421i −0.803965 0.594676i \(-0.797280\pi\)
0.970340 0.241745i \(-0.0777197\pi\)
\(20\) −2.95193 + 1.27601i −0.660073 + 0.285325i
\(21\) −0.00238178 0.0350147i −0.000519748 0.00764084i
\(22\) 0.722537 1.37702i 0.154045 0.293582i
\(23\) −0.902673 6.85648i −0.188220 1.42968i −0.781111 0.624392i \(-0.785347\pi\)
0.592890 0.805283i \(-0.297987\pi\)
\(24\) −2.41847 4.26040i −0.493669 0.869650i
\(25\) 0.315151 2.39381i 0.0630303 0.478763i
\(26\) −3.47432 + 4.92763i −0.681370 + 0.966388i
\(27\) 2.91874 + 4.29895i 0.561711 + 0.827334i
\(28\) −0.0173653 + 0.0366158i −0.00328173 + 0.00691974i
\(29\) −8.38882 + 0.549832i −1.55776 + 0.102101i −0.819765 0.572700i \(-0.805896\pi\)
−0.738000 + 0.674801i \(0.764229\pi\)
\(30\) −3.93767 0.0890192i −0.718917 0.0162526i
\(31\) 4.82349 2.78484i 0.866324 0.500172i 0.000199064 1.00000i \(-0.499937\pi\)
0.866125 + 0.499828i \(0.166603\pi\)
\(32\) 0.0313625 + 5.65677i 0.00554417 + 0.999985i
\(33\) 1.50813 1.16315i 0.262531 0.202479i
\(34\) −0.801730 + 5.09850i −0.137495 + 0.874386i
\(35\) 0.0181011 + 0.0270903i 0.00305965 + 0.00457909i
\(36\) −0.513531 5.97798i −0.0855884 0.996331i
\(37\) −0.768663 3.86433i −0.126367 0.635292i −0.991107 0.133070i \(-0.957516\pi\)
0.864739 0.502221i \(-0.167484\pi\)
\(38\) −4.77172 + 2.20621i −0.774075 + 0.357895i
\(39\) −6.38591 + 3.70795i −1.02256 + 0.593747i
\(40\) 3.91629 + 2.31234i 0.619220 + 0.365614i
\(41\) 0.345101 + 2.62130i 0.0538957 + 0.409378i 0.997033 + 0.0769750i \(0.0245262\pi\)
−0.943137 + 0.332403i \(0.892141\pi\)
\(42\) −0.0380459 + 0.0318734i −0.00587062 + 0.00491817i
\(43\) 11.4323 5.63777i 1.74340 0.859752i 0.767654 0.640864i \(-0.221424\pi\)
0.975750 0.218888i \(-0.0702428\pi\)
\(44\) −2.17574 + 0.320395i −0.328005 + 0.0483014i
\(45\) −4.33688 2.11217i −0.646504 0.314863i
\(46\) −7.08684 + 6.74011i −1.04490 + 0.993775i
\(47\) 0.949695 0.254470i 0.138527 0.0371183i −0.188889 0.981998i \(-0.560489\pi\)
0.327416 + 0.944880i \(0.393822\pi\)
\(48\) −2.85706 + 6.31167i −0.412381 + 0.911012i
\(49\) −6.76108 1.81163i −0.965869 0.258804i
\(50\) −2.99898 + 1.63262i −0.424120 + 0.230887i
\(51\) −3.49883 + 5.26445i −0.489935 + 0.737171i
\(52\) 8.52572 0.130519i 1.18230 0.0180997i
\(53\) −5.06067 + 7.57383i −0.695137 + 1.04035i 0.301093 + 0.953595i \(0.402648\pi\)
−0.996230 + 0.0867509i \(0.972352\pi\)
\(54\) 2.48465 6.91567i 0.338118 0.941104i
\(55\) −0.676628 + 1.63352i −0.0912365 + 0.220264i
\(56\) 0.0563162 0.0106315i 0.00752557 0.00142069i
\(57\) −6.43854 + 0.0158896i −0.852805 + 0.00210463i
\(58\) 7.61245 + 9.13235i 0.999563 + 1.19914i
\(59\) 4.48497 + 5.11413i 0.583894 + 0.665804i 0.966068 0.258287i \(-0.0831579\pi\)
−0.382174 + 0.924090i \(0.624825\pi\)
\(60\) 3.17643 + 4.57566i 0.410076 + 0.590715i
\(61\) 0.656604 + 10.0178i 0.0840695 + 1.28265i 0.806510 + 0.591220i \(0.201353\pi\)
−0.722441 + 0.691433i \(0.756980\pi\)
\(62\) −7.19929 3.19577i −0.914311 0.405863i
\(63\) −0.0586377 + 0.0160226i −0.00738766 + 0.00201865i
\(64\) 6.44071 4.74524i 0.805089 0.593155i
\(65\) 3.42765 5.93687i 0.425148 0.736378i
\(66\) −2.58526 0.755743i −0.318224 0.0930255i
\(67\) −7.84050 3.86651i −0.957870 0.472369i −0.104988 0.994473i \(-0.533481\pi\)
−0.852882 + 0.522104i \(0.825147\pi\)
\(68\) 6.49607 3.32808i 0.787764 0.403589i
\(69\) −11.3330 + 3.87826i −1.36434 + 0.466888i
\(70\) 0.0159000 0.0432465i 0.00190042 0.00516894i
\(71\) −0.699528 1.68881i −0.0830187 0.200425i 0.876919 0.480638i \(-0.159595\pi\)
−0.959938 + 0.280213i \(0.909595\pi\)
\(72\) −6.40651 + 5.56387i −0.755014 + 0.655709i
\(73\) 2.18322 5.27076i 0.255527 0.616896i −0.743106 0.669174i \(-0.766648\pi\)
0.998633 + 0.0522776i \(0.0166481\pi\)
\(74\) −3.77777 + 4.09587i −0.439157 + 0.476136i
\(75\) −4.17234 + 0.283813i −0.481780 + 0.0327718i
\(76\) 6.49470 + 3.61831i 0.744994 + 0.415049i
\(77\) 0.00716187 + 0.0210982i 0.000816171 + 0.00240436i
\(78\) 9.55534 + 4.21342i 1.08193 + 0.477076i
\(79\) 1.72721 + 6.44604i 0.194326 + 0.725236i 0.992440 + 0.122729i \(0.0391646\pi\)
−0.798114 + 0.602507i \(0.794169\pi\)
\(80\) −0.616925 6.40218i −0.0689743 0.715785i
\(81\) 6.30083 6.42647i 0.700092 0.714052i
\(82\) 2.70937 2.57681i 0.299200 0.284561i
\(83\) −2.44826 2.14707i −0.268732 0.235671i 0.514365 0.857571i \(-0.328028\pi\)
−0.783097 + 0.621900i \(0.786361\pi\)
\(84\) 0.0681117 + 0.0169588i 0.00743160 + 0.00185036i
\(85\) 0.383800 5.85566i 0.0416290 0.635136i
\(86\) −15.9627 8.37580i −1.72130 0.903186i
\(87\) 3.80337 + 14.0555i 0.407764 + 1.50691i
\(88\) 2.17763 + 2.22057i 0.232136 + 0.236713i
\(89\) 5.43036 2.24933i 0.575617 0.238428i −0.0758323 0.997121i \(-0.524161\pi\)
0.651449 + 0.758692i \(0.274161\pi\)
\(90\) 1.19592 + 6.71635i 0.126061 + 0.707965i
\(91\) −0.0168531 0.0847263i −0.00176669 0.00888173i
\(92\) 13.6052 + 2.49039i 1.41844 + 0.259641i
\(93\) −6.37857 7.23726i −0.661427 0.750469i
\(94\) −1.08155 0.873840i −0.111554 0.0901297i
\(95\) 5.17647 2.98863i 0.531094 0.306627i
\(96\) 9.59407 1.98842i 0.979191 0.202942i
\(97\) 2.86071 + 1.65163i 0.290461 + 0.167698i 0.638150 0.769912i \(-0.279700\pi\)
−0.347689 + 0.937610i \(0.613033\pi\)
\(98\) 3.55770 + 9.23749i 0.359382 + 0.933128i
\(99\) −2.49088 2.16278i −0.250343 0.217368i
\(100\) 4.36313 + 2.06924i 0.436313 + 0.206924i
\(101\) −12.7031 4.31213i −1.26401 0.429073i −0.392636 0.919694i \(-0.628437\pi\)
−0.871373 + 0.490621i \(0.836770\pi\)
\(102\) 8.93118 0.382905i 0.884318 0.0379133i
\(103\) −0.989383 0.759180i −0.0974868 0.0748042i 0.558868 0.829257i \(-0.311236\pi\)
−0.656355 + 0.754452i \(0.727903\pi\)
\(104\) −7.24706 9.63795i −0.710633 0.945078i
\(105\) 0.0398051 0.0400020i 0.00388458 0.00390380i
\(106\) 12.8715 0.520019i 1.25019 0.0505087i
\(107\) −0.488957 0.326711i −0.0472693 0.0315843i 0.531711 0.846926i \(-0.321549\pi\)
−0.578980 + 0.815341i \(0.696549\pi\)
\(108\) −9.97452 + 2.91699i −0.959799 + 0.280688i
\(109\) 2.06931 10.4031i 0.198204 0.996437i −0.745717 0.666263i \(-0.767893\pi\)
0.943920 0.330174i \(-0.107107\pi\)
\(110\) 2.43075 0.586423i 0.231763 0.0559133i
\(111\) −6.29840 + 2.62711i −0.597818 + 0.249355i
\(112\) −0.0590384 0.0555297i −0.00557860 0.00524707i
\(113\) 19.5885 + 5.24873i 1.84273 + 0.493759i 0.999070 0.0431143i \(-0.0137280\pi\)
0.843663 + 0.536873i \(0.180395\pi\)
\(114\) 5.37839 + 7.34731i 0.503732 + 0.688139i
\(115\) 7.33198 8.36052i 0.683710 0.779622i
\(116\) 4.10258 16.3054i 0.380915 1.51392i
\(117\) 8.48044 + 9.57435i 0.784017 + 0.885149i
\(118\) 2.11264 9.38485i 0.194484 0.863946i
\(119\) −0.0450165 0.0586666i −0.00412665 0.00537796i
\(120\) 2.58645 7.44063i 0.236109 0.679234i
\(121\) 5.96031 7.76763i 0.541846 0.706148i
\(122\) 10.9058 9.09070i 0.987361 0.823033i
\(123\) 4.33273 1.48270i 0.390669 0.133690i
\(124\) 2.34016 + 10.8908i 0.210153 + 0.978021i
\(125\) 9.91291 6.62360i 0.886638 0.592433i
\(126\) 0.0671342 + 0.0536956i 0.00598079 + 0.00478358i
\(127\) 4.87617 0.432690 0.216345 0.976317i \(-0.430586\pi\)
0.216345 + 0.976317i \(0.430586\pi\)
\(128\) −10.7868 3.41251i −0.953426 0.301626i
\(129\) −13.4835 17.4825i −1.18716 1.53925i
\(130\) −9.64063 + 1.02408i −0.845539 + 0.0898178i
\(131\) −10.9117 5.38103i −0.953356 0.470143i −0.102030 0.994781i \(-0.532534\pi\)
−0.851325 + 0.524638i \(0.824201\pi\)
\(132\) 1.28832 + 3.58465i 0.112134 + 0.312003i
\(133\) 0.0242114 0.0713244i 0.00209939 0.00618461i
\(134\) 2.10720 + 12.1822i 0.182034 + 1.05238i
\(135\) −2.10267 + 8.08629i −0.180969 + 0.695957i
\(136\) −9.21278 4.65561i −0.789990 0.399215i
\(137\) 3.99459 + 5.20585i 0.341281 + 0.444766i 0.932188 0.361973i \(-0.117897\pi\)
−0.590907 + 0.806739i \(0.701230\pi\)
\(138\) 13.8686 + 9.72719i 1.18058 + 0.828033i
\(139\) −3.80520 0.249406i −0.322753 0.0211544i −0.0968344 0.995301i \(-0.530872\pi\)
−0.225919 + 0.974146i \(0.572538\pi\)
\(140\) −0.0626765 + 0.0178268i −0.00529713 + 0.00150664i
\(141\) −0.756961 1.52546i −0.0637476 0.128467i
\(142\) −1.34828 + 2.20567i −0.113145 + 0.185096i
\(143\) 3.31491 3.31491i 0.277207 0.277207i
\(144\) 11.6942 + 2.69188i 0.974515 + 0.224323i
\(145\) −9.55854 9.55854i −0.793794 0.793794i
\(146\) −7.84312 + 1.89217i −0.649101 + 0.156597i
\(147\) −0.763066 + 12.0996i −0.0629366 + 0.997959i
\(148\) 7.82748 + 0.908846i 0.643415 + 0.0747067i
\(149\) −1.02310 + 15.6095i −0.0838157 + 1.27878i 0.724188 + 0.689603i \(0.242215\pi\)
−0.808003 + 0.589178i \(0.799452\pi\)
\(150\) 3.79802 + 4.53354i 0.310107 + 0.370162i
\(151\) 10.7701 8.26421i 0.876461 0.672532i −0.0692294 0.997601i \(-0.522054\pi\)
0.945690 + 0.325069i \(0.105387\pi\)
\(152\) −1.27053 10.4371i −0.103053 0.846558i
\(153\) 10.1356 + 4.13982i 0.819416 + 0.334684i
\(154\) 0.0181571 0.0257522i 0.00146314 0.00207517i
\(155\) 8.48054 + 2.87875i 0.681173 + 0.231227i
\(156\) −3.13824 14.4314i −0.251260 1.15544i
\(157\) −7.01966 + 14.2345i −0.560230 + 1.13603i 0.413959 + 0.910296i \(0.364146\pi\)
−0.974188 + 0.225737i \(0.927521\pi\)
\(158\) 5.93117 7.34101i 0.471859 0.584020i
\(159\) 14.5911 + 6.00168i 1.15715 + 0.475964i
\(160\) −6.80537 + 6.03522i −0.538012 + 0.477126i
\(161\) 0.140128i 0.0110436i
\(162\) −12.5923 1.85293i −0.989346 0.145580i
\(163\) 4.87223 + 7.29181i 0.381623 + 0.571139i 0.971703 0.236206i \(-0.0759040\pi\)
−0.590080 + 0.807344i \(0.700904\pi\)
\(164\) −5.20142 0.952099i −0.406162 0.0743465i
\(165\) 3.00508 + 0.590042i 0.233945 + 0.0459347i
\(166\) −0.416297 + 4.58634i −0.0323109 + 0.355969i
\(167\) −3.84338 2.94913i −0.297409 0.228210i 0.449267 0.893397i \(-0.351685\pi\)
−0.746677 + 0.665187i \(0.768352\pi\)
\(168\) −0.0373171 0.0919840i −0.00287908 0.00709672i
\(169\) −4.10658 + 3.15109i −0.315891 + 0.242392i
\(170\) −7.01372 + 4.43621i −0.537927 + 0.340241i
\(171\) 2.22959 + 10.9268i 0.170501 + 0.835590i
\(172\) 3.71409 + 25.2216i 0.283197 + 1.92313i
\(173\) 1.84010 + 1.61373i 0.139900 + 0.122689i 0.726436 0.687234i \(-0.241175\pi\)
−0.586536 + 0.809923i \(0.699509\pi\)
\(174\) 12.9019 16.0496i 0.978091 1.21671i
\(175\) 0.0126622 0.0472561i 0.000957175 0.00357222i
\(176\) 0.725634 4.33814i 0.0546967 0.326999i
\(177\) 7.14915 9.36471i 0.537363 0.703895i
\(178\) −7.09233 4.33537i −0.531592 0.324950i
\(179\) 7.62612 + 1.51693i 0.570003 + 0.113381i 0.471673 0.881773i \(-0.343650\pi\)
0.0983293 + 0.995154i \(0.468650\pi\)
\(180\) 6.68250 6.95868i 0.498084 0.518670i
\(181\) −11.1652 + 16.7099i −0.829901 + 1.24203i 0.137932 + 0.990442i \(0.455954\pi\)
−0.967833 + 0.251593i \(0.919046\pi\)
\(182\) −0.0828285 + 0.0898030i −0.00613966 + 0.00665664i
\(183\) 16.7850 4.54195i 1.24078 0.335750i
\(184\) −8.47965 17.6268i −0.625128 1.29947i
\(185\) 3.85675 5.02622i 0.283554 0.369535i
\(186\) −2.96334 + 13.3172i −0.217282 + 0.976462i
\(187\) 1.28993 3.80001i 0.0943291 0.277884i
\(188\) −0.0985580 + 1.96392i −0.00718808 + 0.143234i
\(189\) 0.0472650 + 0.0940816i 0.00343802 + 0.00684343i
\(190\) −7.72613 3.42963i −0.560512 0.248812i
\(191\) −6.45678 + 11.1835i −0.467196 + 0.809208i −0.999298 0.0374729i \(-0.988069\pi\)
0.532101 + 0.846681i \(0.321403\pi\)
\(192\) −10.2604 9.31254i −0.740483 0.672075i
\(193\) −9.71263 16.8228i −0.699131 1.21093i −0.968768 0.247968i \(-0.920237\pi\)
0.269638 0.962962i \(-0.413096\pi\)
\(194\) −0.493458 4.64538i −0.0354282 0.333519i
\(195\) −11.2530 3.78893i −0.805843 0.271331i
\(196\) 7.59844 11.7576i 0.542746 0.839827i
\(197\) 16.0569 3.19391i 1.14400 0.227556i 0.413525 0.910493i \(-0.364297\pi\)
0.730478 + 0.682936i \(0.239297\pi\)
\(198\) −0.398786 + 4.64814i −0.0283405 + 0.330329i
\(199\) 2.65524 + 6.41031i 0.188225 + 0.454415i 0.989618 0.143723i \(-0.0459075\pi\)
−0.801393 + 0.598138i \(0.795908\pi\)
\(200\) −1.26684 6.71062i −0.0895794 0.474512i
\(201\) −3.88285 + 14.6354i −0.273875 + 1.03230i
\(202\) 5.64601 + 18.1122i 0.397252 + 1.27437i
\(203\) −0.169978 0.0111410i −0.0119301 0.000781942i
\(204\) −7.87314 9.89135i −0.551230 0.692533i
\(205\) −2.80308 + 3.19631i −0.195776 + 0.223240i
\(206\) −0.0442120 + 1.76310i −0.00308040 + 0.122841i
\(207\) 10.4620 + 17.9160i 0.727161 + 1.24525i
\(208\) −4.98477 + 16.3086i −0.345631 + 1.13080i
\(209\) 3.94827 1.05794i 0.273108 0.0731789i
\(210\) −0.0788689 0.0122026i −0.00544247 0.000842060i
\(211\) −12.1442 + 4.12239i −0.836039 + 0.283797i −0.706443 0.707770i \(-0.749701\pi\)
−0.129596 + 0.991567i \(0.541368\pi\)
\(212\) −11.3103 14.2818i −0.776796 0.980878i
\(213\) −2.62818 + 1.76549i −0.180080 + 0.120969i
\(214\) 0.0335718 + 0.830970i 0.00229492 + 0.0568040i
\(215\) 18.9362 + 7.84361i 1.29143 + 0.534930i
\(216\) 11.6387 + 8.97442i 0.791915 + 0.610632i
\(217\) 0.104265 0.0431879i 0.00707796 0.00293179i
\(218\) −13.6156 + 6.29518i −0.922164 + 0.426364i
\(219\) −9.69627 1.90384i −0.655213 0.128650i
\(220\) −2.69405 2.29063i −0.181633 0.154434i
\(221\) −6.88160 + 13.9545i −0.462907 + 0.938682i
\(222\) 8.24688 + 5.01321i 0.553494 + 0.336464i
\(223\) 11.1080 + 6.41319i 0.743844 + 0.429459i 0.823465 0.567366i \(-0.192038\pi\)
−0.0796210 + 0.996825i \(0.525371\pi\)
\(224\) −0.0143309 + 0.113722i −0.000957522 + 0.00759840i
\(225\) 1.90924 + 6.98726i 0.127283 + 0.465817i
\(226\) −10.3075 26.7633i −0.685647 1.78027i
\(227\) −26.1338 + 1.71290i −1.73456 + 0.113689i −0.899628 0.436658i \(-0.856162\pi\)
−0.834936 + 0.550347i \(0.814495\pi\)
\(228\) 3.92182 12.2654i 0.259729 0.812294i
\(229\) 3.77351 3.30928i 0.249360 0.218683i −0.525536 0.850771i \(-0.676135\pi\)
0.774897 + 0.632088i \(0.217802\pi\)
\(230\) −15.6618 1.42160i −1.03271 0.0937378i
\(231\) 0.0333732 0.0193780i 0.00219580 0.00127498i
\(232\) −22.0559 + 8.88456i −1.44804 + 0.583300i
\(233\) 13.0510 + 5.40589i 0.854998 + 0.354152i 0.766749 0.641947i \(-0.221873\pi\)
0.0882486 + 0.996098i \(0.471873\pi\)
\(234\) 3.88524 17.6657i 0.253986 1.15484i
\(235\) 1.31450 + 0.878323i 0.0857488 + 0.0572955i
\(236\) −12.4876 + 5.39793i −0.812873 + 0.351375i
\(237\) 10.3540 5.13786i 0.672568 0.333740i
\(238\) −0.0295905 + 0.100304i −0.00191807 + 0.00650175i
\(239\) 1.81716 6.78175i 0.117543 0.438675i −0.881922 0.471395i \(-0.843750\pi\)
0.999465 + 0.0327206i \(0.0104171\pi\)
\(240\) −10.6594 + 3.23767i −0.688062 + 0.208991i
\(241\) 0.317742 + 1.18583i 0.0204676 + 0.0763861i 0.975404 0.220424i \(-0.0707440\pi\)
−0.954937 + 0.296810i \(0.904077\pi\)
\(242\) −13.8420 0.347108i −0.889800 0.0223129i
\(243\) −13.0672 8.49989i −0.838262 0.545268i
\(244\) −19.4718 4.89926i −1.24655 0.313643i
\(245\) −4.97798 10.0943i −0.318032 0.644904i
\(246\) −5.30211 3.71880i −0.338050 0.237102i
\(247\) −15.7126 + 2.06860i −0.999770 + 0.131622i
\(248\) 10.5021 11.7421i 0.666885 0.745624i
\(249\) −2.80803 + 4.89149i −0.177952 + 0.309986i
\(250\) −15.8248 5.81816i −1.00085 0.367972i
\(251\) 16.1214 3.20675i 1.01758 0.202408i 0.342001 0.939700i \(-0.388896\pi\)
0.675575 + 0.737291i \(0.263896\pi\)
\(252\) 0.00549409 0.121451i 0.000346095 0.00765067i
\(253\) 6.32287 4.22481i 0.397516 0.265611i
\(254\) −4.05952 5.57444i −0.254717 0.349771i
\(255\) −10.0738 + 1.35154i −0.630846 + 0.0846368i
\(256\) 5.07906 + 15.1724i 0.317441 + 0.948278i
\(257\) 0.313533 + 0.543055i 0.0195576 + 0.0338748i 0.875639 0.482967i \(-0.160441\pi\)
−0.856081 + 0.516842i \(0.827108\pi\)
\(258\) −8.76073 + 29.9689i −0.545419 + 1.86578i
\(259\) −0.00522145 0.0796639i −0.000324445 0.00495007i
\(260\) 9.19676 + 10.1686i 0.570359 + 0.630630i
\(261\) 22.5642 11.2662i 1.39669 0.697362i
\(262\) 2.93259 + 16.9540i 0.181176 + 1.04742i
\(263\) 26.1632 + 3.44445i 1.61329 + 0.212394i 0.882536 0.470245i \(-0.155835\pi\)
0.730756 + 0.682639i \(0.239168\pi\)
\(264\) 3.02541 4.45711i 0.186201 0.274316i
\(265\) −14.5215 + 1.91180i −0.892051 + 0.117441i
\(266\) −0.101695 + 0.0317007i −0.00623529 + 0.00194369i
\(267\) −5.67692 8.45088i −0.347422 0.517186i
\(268\) 12.1724 12.5509i 0.743550 0.766669i
\(269\) 5.04585 + 1.00368i 0.307651 + 0.0611956i 0.346501 0.938049i \(-0.387370\pi\)
−0.0388504 + 0.999245i \(0.512370\pi\)
\(270\) 10.9948 4.32824i 0.669121 0.263408i
\(271\) 10.3748 10.3748i 0.630225 0.630225i −0.317900 0.948124i \(-0.602978\pi\)
0.948124 + 0.317900i \(0.102978\pi\)
\(272\) 2.34755 + 14.4080i 0.142341 + 0.873611i
\(273\) −0.138094 + 0.0576001i −0.00835783 + 0.00348612i
\(274\) 2.62575 8.90061i 0.158627 0.537705i
\(275\) 2.51406 0.853407i 0.151603 0.0514624i
\(276\) −0.425817 23.9527i −0.0256312 1.44178i
\(277\) −19.3143 + 9.52475i −1.16048 + 0.572287i −0.917497 0.397743i \(-0.869794\pi\)
−0.242986 + 0.970030i \(0.578127\pi\)
\(278\) 2.88280 + 4.55775i 0.172899 + 0.273356i
\(279\) −10.1063 + 13.3062i −0.605047 + 0.796623i
\(280\) 0.0725591 + 0.0568107i 0.00433624 + 0.00339509i
\(281\) 1.77981 13.5190i 0.106175 0.806476i −0.852651 0.522481i \(-0.825007\pi\)
0.958826 0.283995i \(-0.0916600\pi\)
\(282\) −1.11372 + 2.13534i −0.0663213 + 0.127158i
\(283\) 9.16221 8.03504i 0.544637 0.477634i −0.342257 0.939606i \(-0.611191\pi\)
0.886894 + 0.461972i \(0.152858\pi\)
\(284\) 3.64400 0.294921i 0.216231 0.0175004i
\(285\) −6.84535 7.76688i −0.405484 0.460070i
\(286\) −6.54935 1.02987i −0.387271 0.0608976i
\(287\) 0.0535723i 0.00316227i
\(288\) −6.65831 15.6098i −0.392344 0.919818i
\(289\) 3.68124i 0.216544i
\(290\) −2.96963 + 18.8850i −0.174383 + 1.10897i
\(291\) 1.82571 5.42231i 0.107025 0.317861i
\(292\) 8.69270 + 7.39099i 0.508702 + 0.432525i
\(293\) −7.66729 + 6.72403i −0.447928 + 0.392822i −0.853376 0.521296i \(-0.825449\pi\)
0.405448 + 0.914118i \(0.367115\pi\)
\(294\) 14.4675 9.20085i 0.843764 0.536605i
\(295\) −1.42764 + 10.8440i −0.0831205 + 0.631363i
\(296\) −5.47756 9.70502i −0.318377 0.564093i
\(297\) −2.82013 + 4.96922i −0.163641 + 0.288343i
\(298\) 18.6966 11.8257i 1.08306 0.685042i
\(299\) −26.4433 + 13.0404i −1.52926 + 0.754145i
\(300\) 2.02081 8.11617i 0.116672 0.468587i
\(301\) 0.244575 0.0830220i 0.0140971 0.00478531i
\(302\) −18.4140 5.43228i −1.05961 0.312593i
\(303\) −2.97599 + 23.0442i −0.170966 + 1.32386i
\(304\) −10.8739 + 10.1416i −0.623662 + 0.581658i
\(305\) −11.4147 + 11.4147i −0.653604 + 0.653604i
\(306\) −3.70548 15.0335i −0.211828 0.859410i
\(307\) 26.2133 + 5.21415i 1.49607 + 0.297587i 0.874214 0.485542i \(-0.161378\pi\)
0.621859 + 0.783129i \(0.286378\pi\)
\(308\) −0.0445560 0.000682101i −0.00253882 3.88663e-5i
\(309\) −0.950570 + 1.93962i −0.0540760 + 0.110341i
\(310\) −3.76924 12.0916i −0.214078 0.686756i
\(311\) −3.37952 + 0.444922i −0.191635 + 0.0252292i −0.225733 0.974189i \(-0.572478\pi\)
0.0340977 + 0.999419i \(0.489144\pi\)
\(312\) −13.8854 + 15.6021i −0.786104 + 0.883296i
\(313\) −27.1557 3.57512i −1.53493 0.202078i −0.684833 0.728700i \(-0.740125\pi\)
−0.850099 + 0.526622i \(0.823458\pi\)
\(314\) 22.1169 3.82562i 1.24813 0.215892i
\(315\) −0.0815379 0.0539016i −0.00459414 0.00303701i
\(316\) −13.3301 0.668960i −0.749876 0.0376320i
\(317\) 0.769524 + 11.7407i 0.0432207 + 0.659421i 0.963424 + 0.267981i \(0.0863564\pi\)
−0.920203 + 0.391440i \(0.871977\pi\)
\(318\) −5.28628 21.6771i −0.296440 1.21559i
\(319\) −4.62207 8.00567i −0.258786 0.448231i
\(320\) 12.5651 + 2.75544i 0.702410 + 0.154034i
\(321\) −0.387461 + 0.941983i −0.0216260 + 0.0525764i
\(322\) −0.160194 + 0.116660i −0.00892729 + 0.00650119i
\(323\) −11.2799 + 7.53700i −0.627632 + 0.419370i
\(324\) 8.36512 + 15.9382i 0.464729 + 0.885453i
\(325\) −10.0960 + 2.00821i −0.560023 + 0.111395i
\(326\) 4.27976 11.6405i 0.237034 0.644709i
\(327\) −18.3717 + 0.0453394i −1.01596 + 0.00250727i
\(328\) 3.24185 + 6.73890i 0.179001 + 0.372094i
\(329\) 0.0197516 0.00260034i 0.00108894 0.000143362i
\(330\) −1.82726 3.92664i −0.100587 0.216154i
\(331\) −5.63161 11.4198i −0.309541 0.627687i 0.685398 0.728169i \(-0.259628\pi\)
−0.994939 + 0.100481i \(0.967962\pi\)
\(332\) 5.58968 3.34232i 0.306774 0.183433i
\(333\) 6.61533 + 9.79552i 0.362518 + 0.536791i
\(334\) −0.171747 + 6.84896i −0.00939758 + 0.374759i
\(335\) −3.63818 13.5779i −0.198775 0.741839i
\(336\) −0.0740888 + 0.119240i −0.00404187 + 0.00650506i
\(337\) 0.0996778 0.372003i 0.00542980 0.0202643i −0.963158 0.268937i \(-0.913328\pi\)
0.968588 + 0.248673i \(0.0799943\pi\)
\(338\) 7.02115 + 2.07129i 0.381900 + 0.112663i
\(339\) 2.21079 35.0555i 0.120074 1.90396i
\(340\) 10.9105 + 4.32484i 0.591707 + 0.234548i
\(341\) 5.09228 + 3.40255i 0.275762 + 0.184258i
\(342\) 10.6353 11.6456i 0.575091 0.629724i
\(343\) −0.262073 0.108554i −0.0141506 0.00586138i
\(344\) 25.7413 25.2435i 1.38788 1.36104i
\(345\) −16.7038 9.58907i −0.899304 0.516258i
\(346\) 0.312887 3.44707i 0.0168209 0.185315i
\(347\) 1.85384 1.62577i 0.0995192 0.0872760i −0.608141 0.793829i \(-0.708084\pi\)
0.707660 + 0.706553i \(0.249751\pi\)
\(348\) −29.0890 1.38785i −1.55933 0.0743965i
\(349\) −7.74265 + 0.507480i −0.414455 + 0.0271648i −0.271205 0.962522i \(-0.587422\pi\)
−0.143250 + 0.989687i \(0.545755\pi\)
\(350\) −0.0645648 + 0.0248663i −0.00345113 + 0.00132916i
\(351\) 13.3554 17.6746i 0.712861 0.943399i
\(352\) −5.56346 + 2.78205i −0.296534 + 0.148284i
\(353\) 19.0243 + 10.9837i 1.01256 + 0.584603i 0.911941 0.410321i \(-0.134583\pi\)
0.100622 + 0.994925i \(0.467917\pi\)
\(354\) −16.6576 0.376578i −0.885339 0.0200149i
\(355\) 1.30001 2.63616i 0.0689973 0.139913i
\(356\) 0.948318 + 11.7172i 0.0502607 + 0.621013i
\(357\) −0.0842118 + 0.0965045i −0.00445696 + 0.00510756i
\(358\) −4.61476 9.98106i −0.243897 0.527515i
\(359\) −15.2792 + 6.32885i −0.806405 + 0.334024i −0.747519 0.664241i \(-0.768755\pi\)
−0.0588866 + 0.998265i \(0.518755\pi\)
\(360\) −13.5185 1.84618i −0.712488 0.0973023i
\(361\) 4.78723 + 1.98294i 0.251960 + 0.104365i
\(362\) 28.3980 1.14730i 1.49256 0.0603007i
\(363\) −15.2279 7.46290i −0.799257 0.391701i
\(364\) 0.171619 + 0.0199267i 0.00899530 + 0.00104444i
\(365\) 8.68663 2.94871i 0.454679 0.154343i
\(366\) −19.1662 15.4073i −1.00183 0.805353i
\(367\) −9.95654 + 2.66785i −0.519727 + 0.139261i −0.509140 0.860683i \(-0.670037\pi\)
−0.0105869 + 0.999944i \(0.503370\pi\)
\(368\) −13.0915 + 24.3687i −0.682441 + 1.27030i
\(369\) −3.99973 6.84944i −0.208218 0.356568i
\(370\) −8.95681 0.224604i −0.465642 0.0116766i
\(371\) −0.121696 + 0.138767i −0.00631812 + 0.00720443i
\(372\) 17.6912 7.69915i 0.917248 0.399182i
\(373\) −31.2007 2.04500i −1.61551 0.105886i −0.769354 0.638822i \(-0.779422\pi\)
−0.846155 + 0.532936i \(0.821089\pi\)
\(374\) −5.41807 + 1.68895i −0.280162 + 0.0873333i
\(375\) −14.6376 14.5655i −0.755882 0.752160i
\(376\) 2.32721 1.52234i 0.120017 0.0785085i
\(377\) 13.7159 + 33.1130i 0.706403 + 1.70541i
\(378\) 0.0682049 0.132358i 0.00350808 0.00680778i
\(379\) 26.8584 5.34246i 1.37962 0.274424i 0.551128 0.834421i \(-0.314198\pi\)
0.828495 + 0.559997i \(0.189198\pi\)
\(380\) 2.51141 + 11.6878i 0.128833 + 0.599569i
\(381\) −1.66813 8.27940i −0.0854607 0.424166i
\(382\) 18.1604 1.92909i 0.929165 0.0987010i
\(383\) −13.3465 23.1168i −0.681975 1.18122i −0.974377 0.224920i \(-0.927788\pi\)
0.292402 0.956295i \(-0.405545\pi\)
\(384\) −2.10406 + 19.4826i −0.107373 + 0.994219i
\(385\) −0.0179132 + 0.0310265i −0.000912939 + 0.00158126i
\(386\) −11.1458 + 25.1088i −0.567307 + 1.27800i
\(387\) −25.0715 + 28.8748i −1.27445 + 1.46779i
\(388\) −4.89979 + 4.43151i −0.248749 + 0.224976i
\(389\) −6.26774 + 18.4642i −0.317787 + 0.936171i 0.664254 + 0.747507i \(0.268749\pi\)
−0.982042 + 0.188664i \(0.939584\pi\)
\(390\) 5.03685 + 16.0188i 0.255051 + 0.811143i
\(391\) −15.3643 + 20.0231i −0.777004 + 1.01261i
\(392\) −19.7671 + 1.10190i −0.998391 + 0.0556544i
\(393\) −5.40377 + 20.3681i −0.272584 + 1.02743i
\(394\) −17.0190 15.6972i −0.857403 0.790814i
\(395\) −5.96160 + 8.92216i −0.299961 + 0.448923i
\(396\) 5.64575 3.41378i 0.283710 0.171549i
\(397\) 30.3691 + 6.04079i 1.52418 + 0.303179i 0.884895 0.465790i \(-0.154230\pi\)
0.639286 + 0.768969i \(0.279230\pi\)
\(398\) 5.11772 8.37219i 0.256528 0.419660i
\(399\) −0.129387 0.0167093i −0.00647743 0.000836512i
\(400\) −6.61691 + 7.03499i −0.330845 + 0.351750i
\(401\) 2.08429 7.77868i 0.104084 0.388448i −0.894155 0.447757i \(-0.852223\pi\)
0.998240 + 0.0593086i \(0.0188896\pi\)
\(402\) 19.9637 7.74539i 0.995699 0.386305i
\(403\) −17.8529 15.6565i −0.889314 0.779908i
\(404\) 16.0054 21.5333i 0.796299 1.07132i
\(405\) 14.4493 + 0.803894i 0.717991 + 0.0399458i
\(406\) 0.128774 + 0.203594i 0.00639096 + 0.0101042i
\(407\) 3.43718 2.63744i 0.170375 0.130733i
\(408\) −4.75323 + 17.2353i −0.235320 + 0.853277i
\(409\) 31.0867 + 23.8537i 1.53714 + 1.17949i 0.919541 + 0.392993i \(0.128560\pi\)
0.617597 + 0.786495i \(0.288106\pi\)
\(410\) 5.98765 + 0.543493i 0.295709 + 0.0268412i
\(411\) 7.47264 8.56345i 0.368598 0.422404i
\(412\) 2.05238 1.41727i 0.101114 0.0698241i
\(413\) 0.0765734 + 0.114600i 0.00376793 + 0.00563911i
\(414\) 11.7717 26.8756i 0.578546 1.32086i
\(415\) 5.23610i 0.257030i
\(416\) 22.7940 7.87872i 1.11757 0.386286i
\(417\) 0.878277 + 6.54630i 0.0430094 + 0.320573i
\(418\) −4.49645 3.63291i −0.219929 0.177691i
\(419\) 16.3350 33.1241i 0.798016 1.61822i 0.0120656 0.999927i \(-0.496159\pi\)
0.785951 0.618289i \(-0.212174\pi\)
\(420\) 0.0517101 + 0.100322i 0.00252319 + 0.00489521i
\(421\) 14.6938 + 4.98788i 0.716133 + 0.243094i 0.655639 0.755074i \(-0.272399\pi\)
0.0604935 + 0.998169i \(0.480733\pi\)
\(422\) 14.8230 + 10.4512i 0.721573 + 0.508759i
\(423\) −2.33118 + 1.80713i −0.113346 + 0.0878654i
\(424\) −6.91088 + 24.8199i −0.335622 + 1.20536i
\(425\) −6.99069 + 5.36415i −0.339098 + 0.260199i
\(426\) 4.20632 + 1.53472i 0.203797 + 0.0743576i
\(427\) −0.0133044 + 0.202986i −0.000643845 + 0.00982318i
\(428\) 0.922016 0.730180i 0.0445673 0.0352946i
\(429\) −6.76252 4.49447i −0.326497 0.216995i
\(430\) −6.79794 28.1778i −0.327826 1.35885i
\(431\) −17.9480 17.9480i −0.864524 0.864524i 0.127336 0.991860i \(-0.459357\pi\)
−0.991860 + 0.127336i \(0.959357\pi\)
\(432\) 0.570069 20.7768i 0.0274274 0.999624i
\(433\) 7.96022 7.96022i 0.382544 0.382544i −0.489474 0.872018i \(-0.662811\pi\)
0.872018 + 0.489474i \(0.162811\pi\)
\(434\) −0.136175 0.0832408i −0.00653662 0.00399569i
\(435\) −12.9598 + 19.4997i −0.621374 + 0.934939i
\(436\) 18.5319 + 10.3245i 0.887518 + 0.494452i
\(437\) −25.6525 1.68135i −1.22713 0.0804301i
\(438\) 5.89588 + 12.6698i 0.281716 + 0.605385i
\(439\) 16.9413 + 22.0783i 0.808564 + 1.05374i 0.997424 + 0.0717367i \(0.0228541\pi\)
−0.188860 + 0.982004i \(0.560479\pi\)
\(440\) −0.375786 + 4.98684i −0.0179149 + 0.237738i
\(441\) 20.8053 2.84361i 0.990730 0.135410i
\(442\) 21.6819 3.75039i 1.03130 0.178388i
\(443\) −2.42623 + 7.14744i −0.115274 + 0.339585i −0.989220 0.146437i \(-0.953219\pi\)
0.873946 + 0.486022i \(0.161553\pi\)
\(444\) −1.13461 13.6014i −0.0538460 0.645496i
\(445\) 8.47654 + 4.18017i 0.401827 + 0.198159i
\(446\) −1.91607 18.0378i −0.0907285 0.854112i
\(447\) 26.8539 3.60282i 1.27014 0.170408i
\(448\) 0.141938 0.0782933i 0.00670595 0.00369901i
\(449\) 11.7046 0.552373 0.276186 0.961104i \(-0.410929\pi\)
0.276186 + 0.961104i \(0.410929\pi\)
\(450\) 6.39835 7.99969i 0.301621 0.377109i
\(451\) −2.41730 + 1.61519i −0.113826 + 0.0760561i
\(452\) −22.0146 + 34.0646i −1.03548 + 1.60226i
\(453\) −17.7165 15.4598i −0.832394 0.726363i
\(454\) 23.7152 + 28.4502i 1.11301 + 1.33523i
\(455\) 0.0845602 0.110201i 0.00396425 0.00516631i
\(456\) −17.2868 + 5.72777i −0.809528 + 0.268227i
\(457\) 7.68630 + 10.0170i 0.359550 + 0.468575i 0.937745 0.347324i \(-0.112910\pi\)
−0.578195 + 0.815898i \(0.696243\pi\)
\(458\) −6.92470 1.55883i −0.323570 0.0728393i
\(459\) 3.56175 18.6258i 0.166248 0.869378i
\(460\) 11.4136 + 19.0881i 0.532162 + 0.889986i
\(461\) 20.1413 22.9668i 0.938074 1.06967i −0.0593710 0.998236i \(-0.518909\pi\)
0.997445 0.0714329i \(-0.0227572\pi\)
\(462\) −0.0499369 0.0220197i −0.00232327 0.00102445i
\(463\) 40.5168 + 10.8564i 1.88298 + 0.504542i 0.999338 + 0.0363701i \(0.0115795\pi\)
0.883637 + 0.468172i \(0.155087\pi\)
\(464\) 28.5188 + 17.8177i 1.32395 + 0.827165i
\(465\) 1.98675 15.3842i 0.0921335 0.713424i
\(466\) −4.68521 19.4204i −0.217038 0.899633i
\(467\) 1.82968 9.19844i 0.0846677 0.425653i −0.915082 0.403268i \(-0.867874\pi\)
0.999749 0.0223848i \(-0.00712589\pi\)
\(468\) −23.4300 + 10.2655i −1.08305 + 0.474522i
\(469\) −0.147283 0.0984112i −0.00680088 0.00454421i
\(470\) −0.0902537 2.23396i −0.00416310 0.103045i
\(471\) 26.5705 + 7.04932i 1.22431 + 0.324815i
\(472\) 16.5671 + 9.78192i 0.762563 + 0.450249i
\(473\) 11.1200 + 8.53265i 0.511296 + 0.392332i
\(474\) −14.4936 7.55937i −0.665712 0.347214i
\(475\) −8.49899 2.88502i −0.389961 0.132374i
\(476\) 0.139302 0.0496775i 0.00638491 0.00227696i
\(477\) 5.19886 26.8278i 0.238040 1.22836i
\(478\) −9.26573 + 3.56857i −0.423804 + 0.163223i
\(479\) 1.63404 + 0.943414i 0.0746612 + 0.0431057i 0.536866 0.843668i \(-0.319608\pi\)
−0.462205 + 0.886773i \(0.652941\pi\)
\(480\) 12.5755 + 9.49041i 0.573990 + 0.433176i
\(481\) −14.5473 + 8.39889i −0.663300 + 0.382956i
\(482\) 1.09111 1.35047i 0.0496989 0.0615124i
\(483\) −0.237928 + 0.0479375i −0.0108261 + 0.00218123i
\(484\) 11.1270 + 16.1132i 0.505772 + 0.732418i
\(485\) 1.03622 + 5.20945i 0.0470525 + 0.236549i
\(486\) 1.16166 + 22.0148i 0.0526938 + 0.998611i
\(487\) −26.5599 + 11.0015i −1.20354 + 0.498524i −0.892142 0.451754i \(-0.850798\pi\)
−0.311401 + 0.950278i \(0.600798\pi\)
\(488\) 10.6098 + 26.3389i 0.480285 + 1.19231i
\(489\) 10.7142 10.7672i 0.484513 0.486911i
\(490\) −7.39558 + 14.0946i −0.334098 + 0.636729i
\(491\) −1.98213 + 30.2414i −0.0894521 + 1.36478i 0.683333 + 0.730107i \(0.260530\pi\)
−0.772785 + 0.634668i \(0.781137\pi\)
\(492\) 0.162794 + 9.15736i 0.00733932 + 0.412846i
\(493\) 23.0669 + 20.2291i 1.03888 + 0.911073i
\(494\) 15.4459 + 16.2405i 0.694945 + 0.730695i
\(495\) −0.0261810 5.30427i −0.00117675 0.238409i
\(496\) −22.1668 2.23047i −0.995319 0.100151i
\(497\) −0.00958637 0.0357768i −0.000430007 0.00160481i
\(498\) 7.92970 0.862132i 0.355338 0.0386330i
\(499\) −7.34648 21.6420i −0.328874 0.968831i −0.978082 0.208220i \(-0.933233\pi\)
0.649208 0.760611i \(-0.275100\pi\)
\(500\) 6.52319 + 22.9347i 0.291726 + 1.02567i
\(501\) −3.69260 + 7.53468i −0.164973 + 0.336625i
\(502\) −17.0874 15.7603i −0.762648 0.703418i
\(503\) 10.1606 24.5299i 0.453039 1.09373i −0.518121 0.855307i \(-0.673368\pi\)
0.971161 0.238427i \(-0.0766317\pi\)
\(504\) −0.143416 + 0.0948294i −0.00638827 + 0.00422404i
\(505\) −8.25482 19.9289i −0.367335 0.886824i
\(506\) −10.0937 3.71106i −0.448721 0.164977i
\(507\) 6.75519 + 5.89471i 0.300008 + 0.261793i
\(508\) −2.99306 + 9.28168i −0.132796 + 0.411808i
\(509\) −5.95570 2.93702i −0.263982 0.130181i 0.305482 0.952198i \(-0.401182\pi\)
−0.569464 + 0.822017i \(0.692849\pi\)
\(510\) 9.93175 + 10.3912i 0.439785 + 0.460130i
\(511\) 0.0577990 0.100111i 0.00255688 0.00442864i
\(512\) 13.1167 18.4378i 0.579682 0.814842i
\(513\) 17.7901 7.52370i 0.785454 0.332180i
\(514\) 0.359797 0.810536i 0.0158700 0.0357512i
\(515\) −0.131151 2.00098i −0.00577920 0.0881735i
\(516\) 41.5540 14.9345i 1.82931 0.657456i
\(517\) 0.712835 + 0.812833i 0.0313504 + 0.0357483i
\(518\) −0.0867248 + 0.0722911i −0.00381047 + 0.00317629i
\(519\) 2.11050 3.67642i 0.0926407 0.161377i
\(520\) 3.96824 18.9793i 0.174019 0.832298i
\(521\) −3.26619 + 7.88529i −0.143095 + 0.345461i −0.979136 0.203205i \(-0.934864\pi\)
0.836042 + 0.548666i \(0.184864\pi\)
\(522\) −31.6648 16.4160i −1.38593 0.718510i
\(523\) 18.2188 27.2664i 0.796653 1.19228i −0.181296 0.983429i \(-0.558029\pi\)
0.977948 0.208846i \(-0.0669709\pi\)
\(524\) 16.9404 17.4672i 0.740045 0.763056i
\(525\) −0.0845693 0.00533339i −0.00369091 0.000232768i
\(526\) −17.8437 32.7774i −0.778024 1.42916i
\(527\) −19.6339 5.26088i −0.855265 0.229168i
\(528\) −7.61409 + 0.251990i −0.331361 + 0.0109665i
\(529\) −23.9803 + 6.42549i −1.04262 + 0.279369i
\(530\) 14.2751 + 15.0094i 0.620069 + 0.651967i
\(531\) −18.3463 8.93511i −0.796163 0.387751i
\(532\) 0.120903 + 0.0898658i 0.00524182 + 0.00389617i
\(533\) 10.1095 4.98547i 0.437892 0.215945i
\(534\) −4.93489 + 13.5254i −0.213554 + 0.585301i
\(535\) −0.123423 0.937493i −0.00533606 0.0405314i
\(536\) −24.4820 3.46661i −1.05746 0.149735i
\(537\) −0.0332365 13.4676i −0.00143426 0.581168i
\(538\) −3.05337 6.60401i −0.131640 0.284719i
\(539\) −1.50156 7.54887i −0.0646769 0.325153i
\(540\) −14.1014 8.96588i −0.606829 0.385830i
\(541\) 14.5950 + 21.8430i 0.627489 + 0.939104i 0.999939 + 0.0110517i \(0.00351793\pi\)
−0.372450 + 0.928052i \(0.621482\pi\)
\(542\) −20.4977 3.22323i −0.880453 0.138450i
\(543\) 32.1918 + 13.2413i 1.38148 + 0.568238i
\(544\) 14.5168 14.6787i 0.622402 0.629342i
\(545\) 14.7705 8.52774i 0.632698 0.365288i
\(546\) 0.180815 + 0.109916i 0.00773815 + 0.00470396i
\(547\) 35.1545 2.30415i 1.50310 0.0985184i 0.708525 0.705685i \(-0.249361\pi\)
0.794574 + 0.607167i \(0.207694\pi\)
\(548\) −12.3612 + 4.40820i −0.528043 + 0.188309i
\(549\) −13.4540 26.9459i −0.574203 1.15002i
\(550\) −3.06862 2.16359i −0.130846 0.0922557i
\(551\) −4.07903 + 30.9833i −0.173773 + 1.31993i
\(552\) −27.0283 + 20.4280i −1.15040 + 0.869472i
\(553\) 0.0176498 + 0.134063i 0.000750544 + 0.00570095i
\(554\) 26.9683 + 14.1505i 1.14577 + 0.601198i
\(555\) −9.85356 4.82904i −0.418260 0.204982i
\(556\) 2.81043 7.09004i 0.119189 0.300685i
\(557\) −1.15163 + 5.78964i −0.0487962 + 0.245315i −0.997483 0.0709012i \(-0.977412\pi\)
0.948687 + 0.316216i \(0.102412\pi\)
\(558\) 23.6254 + 0.475769i 1.00014 + 0.0201409i
\(559\) −38.4272 38.4272i −1.62530 1.62530i
\(560\) 0.00453889 0.130246i 0.000191803 0.00550389i
\(561\) −6.89344 0.890237i −0.291041 0.0375858i
\(562\) −16.9367 + 9.22019i −0.714430 + 0.388930i
\(563\) −13.2535 39.0436i −0.558569 1.64549i −0.748076 0.663613i \(-0.769022\pi\)
0.189507 0.981879i \(-0.439311\pi\)
\(564\) 3.36832 0.504509i 0.141832 0.0212436i
\(565\) 14.4224 + 29.2458i 0.606756 + 1.23038i
\(566\) −16.8134 3.78489i −0.706720 0.159091i
\(567\) 0.143575 0.112438i 0.00602957 0.00472195i
\(568\) −3.37086 3.92029i −0.141438 0.164492i
\(569\) 32.9464 + 4.33748i 1.38119 + 0.181837i 0.784247 0.620449i \(-0.213050\pi\)
0.596940 + 0.802286i \(0.296383\pi\)
\(570\) −3.18019 + 14.2917i −0.133204 + 0.598614i
\(571\) −10.3010 11.7461i −0.431085 0.491559i 0.494989 0.868899i \(-0.335172\pi\)
−0.926075 + 0.377340i \(0.876839\pi\)
\(572\) 4.27513 + 8.34461i 0.178752 + 0.348906i
\(573\) 21.1976 + 7.13733i 0.885543 + 0.298166i
\(574\) 0.0612439 0.0446001i 0.00255627 0.00186157i
\(575\) −16.6976 −0.696339
\(576\) −12.3020 + 20.6073i −0.512583 + 0.858638i
\(577\) −39.9536 −1.66329 −0.831644 0.555308i \(-0.812600\pi\)
−0.831644 + 0.555308i \(0.812600\pi\)
\(578\) −4.20840 + 3.06471i −0.175046 + 0.127475i
\(579\) −25.2412 + 22.2464i −1.04899 + 0.924529i
\(580\) 24.0616 12.3273i 0.999106 0.511864i
\(581\) −0.0435049 0.0496079i −0.00180489 0.00205808i
\(582\) −7.71873 + 2.42703i −0.319952 + 0.100604i
\(583\) −9.93054 1.30738i −0.411281 0.0541462i
\(584\) 1.21252 16.0907i 0.0501744 0.665836i
\(585\) −2.58372 + 20.4030i −0.106824 + 0.843559i
\(586\) 14.0701 + 3.16734i 0.581231 + 0.130842i
\(587\) 19.1493 + 38.8309i 0.790376 + 1.60272i 0.797928 + 0.602753i \(0.205930\pi\)
−0.00755129 + 0.999971i \(0.502404\pi\)
\(588\) −22.5630 8.87939i −0.930481 0.366180i
\(589\) −6.65515 19.6054i −0.274221 0.807828i
\(590\) 13.5854 7.39580i 0.559303 0.304480i
\(591\) −10.9160 26.1708i −0.449026 1.07652i
\(592\) −6.53459 + 14.3416i −0.268570 + 0.589436i
\(593\) −31.3257 31.3257i −1.28639 1.28639i −0.936963 0.349430i \(-0.886375\pi\)
−0.349430 0.936963i \(-0.613625\pi\)
\(594\) 8.02864 0.913006i 0.329419 0.0374611i
\(595\) 0.0231972 0.116620i 0.000950991 0.00478095i
\(596\) −29.0844 11.5288i −1.19134 0.472238i
\(597\) 9.97591 6.70136i 0.408287 0.274268i
\(598\) 36.9224 + 19.3736i 1.50987 + 0.792244i
\(599\) −2.98835 22.6987i −0.122100 0.927445i −0.937363 0.348354i \(-0.886741\pi\)
0.815263 0.579091i \(-0.196593\pi\)
\(600\) −10.9608 + 4.44670i −0.447472 + 0.181536i
\(601\) 5.57151 42.3198i 0.227267 1.72626i −0.374186 0.927354i \(-0.622078\pi\)
0.601453 0.798909i \(-0.294589\pi\)
\(602\) −0.298525 0.210480i −0.0121670 0.00857854i
\(603\) 26.1781 + 1.58608i 1.06606 + 0.0645903i
\(604\) 9.11990 + 25.5734i 0.371083 + 1.04057i
\(605\) 15.7096 1.02966i 0.638687 0.0418617i
\(606\) 28.8217 15.7827i 1.17080 0.641127i
\(607\) −15.7875 + 9.11489i −0.640793 + 0.369962i −0.784920 0.619597i \(-0.787296\pi\)
0.144127 + 0.989559i \(0.453963\pi\)
\(608\) 20.6466 + 3.98800i 0.837331 + 0.161735i
\(609\) 0.0392326 + 0.292422i 0.00158978 + 0.0118496i
\(610\) 22.5523 + 3.54630i 0.913115 + 0.143586i
\(611\) −2.32880 3.48529i −0.0942130 0.141000i
\(612\) −14.1014 + 16.7519i −0.570017 + 0.677154i
\(613\) −6.46913 32.5225i −0.261286 1.31357i −0.859047 0.511897i \(-0.828943\pi\)
0.597761 0.801674i \(-0.296057\pi\)
\(614\) −15.8623 34.3080i −0.640152 1.38456i
\(615\) 6.38603 + 3.66600i 0.257510 + 0.147827i
\(616\) 0.0378737 + 0.0503686i 0.00152597 + 0.00202941i
\(617\) −1.20654 9.16457i −0.0485734 0.368952i −0.998418 0.0562291i \(-0.982092\pi\)
0.949844 0.312723i \(-0.101241\pi\)
\(618\) 3.00874 0.528082i 0.121029 0.0212426i
\(619\) −20.8258 + 10.2701i −0.837058 + 0.412791i −0.809707 0.586835i \(-0.800374\pi\)
−0.0273511 + 0.999626i \(0.508707\pi\)
\(620\) −10.6851 + 14.3755i −0.429125 + 0.577334i
\(621\) 26.8410 23.8928i 1.07709 0.958785i
\(622\) 3.32216 + 3.49306i 0.133206 + 0.140059i
\(623\) 0.115040 0.0308249i 0.00460898 0.00123497i
\(624\) 29.3962 + 2.88464i 1.17679 + 0.115478i
\(625\) 6.85614 + 1.83710i 0.274245 + 0.0734838i
\(626\) 18.5207 + 34.0208i 0.740235 + 1.35974i
\(627\) −3.14700 6.34197i −0.125679 0.253274i
\(628\) −22.7862 22.0991i −0.909269 0.881849i
\(629\) −7.98860 + 11.9558i −0.318526 + 0.476709i
\(630\) 0.00626170 + 0.138088i 0.000249472 + 0.00550158i
\(631\) 0.100640 0.242967i 0.00400643 0.00967238i −0.921864 0.387514i \(-0.873334\pi\)
0.925870 + 0.377842i \(0.123334\pi\)
\(632\) 10.3328 + 15.7959i 0.411018 + 0.628326i
\(633\) 11.1540 + 19.2097i 0.443333 + 0.763517i
\(634\) 12.7813 10.6541i 0.507610 0.423127i
\(635\) 5.16972 + 5.89493i 0.205154 + 0.233933i
\(636\) −20.3803 + 24.0899i −0.808131 + 0.955227i
\(637\) 1.95174 + 29.7779i 0.0773309 + 1.17984i
\(638\) −5.30410 + 11.9489i −0.209991 + 0.473060i
\(639\) 3.89677 + 3.85849i 0.154154 + 0.152640i
\(640\) −7.31069 16.6584i −0.288980 0.658480i
\(641\) 4.88761 8.46558i 0.193049 0.334370i −0.753210 0.657780i \(-0.771496\pi\)
0.946259 + 0.323409i \(0.104829\pi\)
\(642\) 1.39945 0.341276i 0.0552317 0.0134691i
\(643\) 27.7356 + 13.6777i 1.09379 + 0.539396i 0.897439 0.441139i \(-0.145425\pi\)
0.196347 + 0.980534i \(0.437092\pi\)
\(644\) 0.266731 + 0.0860126i 0.0105107 + 0.00338937i
\(645\) 6.83990 34.8356i 0.269321 1.37165i
\(646\) 18.0071 + 6.62049i 0.708479 + 0.260480i
\(647\) 1.80659 + 4.36148i 0.0710242 + 0.171468i 0.955405 0.295298i \(-0.0954191\pi\)
−0.884381 + 0.466766i \(0.845419\pi\)
\(648\) 11.2564 22.8319i 0.442192 0.896921i
\(649\) −2.86234 + 6.91031i −0.112357 + 0.271253i
\(650\) 10.7009 + 9.86982i 0.419724 + 0.387126i
\(651\) −0.108999 0.162260i −0.00427200 0.00635948i
\(652\) −16.8704 + 4.79837i −0.660698 + 0.187919i
\(653\) 8.12614 + 23.9388i 0.318001 + 0.936800i 0.981970 + 0.189039i \(0.0605374\pi\)
−0.663969 + 0.747760i \(0.731129\pi\)
\(654\) 15.3466 + 20.9647i 0.600101 + 0.819787i
\(655\) −5.06327 18.8964i −0.197838 0.738342i
\(656\) 5.00500 9.31637i 0.195413 0.363743i
\(657\) 0.0844761 + 17.1149i 0.00329573 + 0.667716i
\(658\) −0.0194163 0.0204151i −0.000756927 0.000795865i
\(659\) 14.8326 + 13.0078i 0.577796 + 0.506714i 0.897624 0.440762i \(-0.145292\pi\)
−0.319828 + 0.947476i \(0.603625\pi\)
\(660\) −2.96770 + 5.35794i −0.115517 + 0.208557i
\(661\) 1.06159 16.1968i 0.0412912 0.629982i −0.926193 0.377050i \(-0.876938\pi\)
0.967484 0.252932i \(-0.0813949\pi\)
\(662\) −8.36665 + 15.9453i −0.325179 + 0.619730i
\(663\) 26.0480 + 6.91068i 1.01162 + 0.268389i
\(664\) −8.47447 3.60757i −0.328873 0.140001i
\(665\) 0.111895 0.0463484i 0.00433910 0.00179731i
\(666\) 5.69084 15.7176i 0.220516 0.609046i
\(667\) 11.3423 + 57.0215i 0.439175 + 2.20788i
\(668\) 7.97272 5.50557i 0.308474 0.213017i
\(669\) 7.08914 21.0545i 0.274082 0.814014i
\(670\) −12.4934 + 15.4630i −0.482661 + 0.597390i
\(671\) −9.56028 + 5.51963i −0.369071 + 0.213083i
\(672\) 0.197995 0.0145713i 0.00763784 0.000562102i
\(673\) 8.39339 + 4.84593i 0.323541 + 0.186797i 0.652970 0.757384i \(-0.273523\pi\)
−0.329429 + 0.944181i \(0.606856\pi\)
\(674\) −0.508258 + 0.195749i −0.0195773 + 0.00753996i
\(675\) 11.2107 5.63209i 0.431501 0.216779i
\(676\) −3.47736 9.75098i −0.133744 0.375038i
\(677\) −47.1341 15.9999i −1.81151 0.614925i −0.999511 0.0312648i \(-0.990046\pi\)
−0.811998 0.583660i \(-0.801620\pi\)
\(678\) −41.9160 + 26.6571i −1.60978 + 1.02376i
\(679\) 0.0531009 + 0.0407458i 0.00203783 + 0.00156368i
\(680\) −4.13911 16.0735i −0.158727 0.616389i
\(681\) 11.8487 + 43.7875i 0.454044 + 1.67794i
\(682\) −0.349636 8.65419i −0.0133882 0.331386i
\(683\) −18.0260 12.0446i −0.689744 0.460872i 0.160655 0.987011i \(-0.448639\pi\)
−0.850399 + 0.526138i \(0.823639\pi\)
\(684\) −22.1674 2.46302i −0.847592 0.0941760i
\(685\) −2.05843 + 10.3484i −0.0786485 + 0.395393i
\(686\) 0.0940825 + 0.389976i 0.00359209 + 0.0148894i
\(687\) −6.90983 5.27506i −0.263627 0.201256i
\(688\) −50.2886 8.41170i −1.91723 0.320693i
\(689\) 37.5115 + 10.0512i 1.42908 + 0.382920i
\(690\) 2.94407 + 27.0789i 0.112079 + 1.03088i
\(691\) −29.2597 + 33.3643i −1.11309 + 1.26924i −0.153406 + 0.988163i \(0.549024\pi\)
−0.959686 + 0.281074i \(0.909309\pi\)
\(692\) −4.20117 + 2.51207i −0.159705 + 0.0954944i
\(693\) −0.0443194 0.0500363i −0.00168356 0.00190072i
\(694\) −3.40194 0.765816i −0.129136 0.0290700i
\(695\) −3.73277 4.86464i −0.141592 0.184526i
\(696\) 22.6306 + 34.4100i 0.857812 + 1.30431i
\(697\) 5.87391 7.65503i 0.222490 0.289955i
\(698\) 7.02608 + 8.42891i 0.265941 + 0.319039i
\(699\) 4.71412 24.0090i 0.178304 0.908104i
\(700\) 0.0821787 + 0.0531087i 0.00310606 + 0.00200732i
\(701\) −10.2895 + 6.87526i −0.388631 + 0.259675i −0.734501 0.678608i \(-0.762584\pi\)
0.345870 + 0.938282i \(0.387584\pi\)
\(702\) −31.3243 0.553477i −1.18226 0.0208896i
\(703\) −14.6463 −0.552396
\(704\) 7.81215 + 4.04404i 0.294431 + 0.152415i
\(705\) 1.04164 2.53241i 0.0392306 0.0953760i
\(706\) −3.28160 30.8928i −0.123505 1.16267i
\(707\) −0.243790 0.120224i −0.00916867 0.00452149i
\(708\) 13.4373 + 19.3564i 0.505004 + 0.727460i
\(709\) −2.18347 + 6.43231i −0.0820021 + 0.241570i −0.980196 0.198029i \(-0.936546\pi\)
0.898194 + 0.439599i \(0.144879\pi\)
\(710\) −4.09594 + 0.708488i −0.153718 + 0.0265891i
\(711\) −12.2658 15.8228i −0.460004 0.593402i
\(712\) 12.6057 10.8390i 0.472417 0.406208i
\(713\) −23.4483 30.5584i −0.878144 1.14442i
\(714\) 0.180432 + 0.0159288i 0.00675250 + 0.000596120i
\(715\) 7.52196 + 0.493015i 0.281305 + 0.0184377i
\(716\) −7.56846 + 13.5850i −0.282847 + 0.507697i
\(717\) −12.1366 0.765398i −0.453249 0.0285843i
\(718\) 19.9554 + 12.1983i 0.744730 + 0.455236i
\(719\) 0.503371 0.503371i 0.0187726 0.0187726i −0.697658 0.716431i \(-0.745775\pi\)
0.716431 + 0.697658i \(0.245775\pi\)
\(720\) 9.14389 + 16.9913i 0.340773 + 0.633230i
\(721\) −0.0178680 0.0178680i −0.000665438 0.000665438i
\(722\) −1.71858 7.12361i −0.0639590 0.265113i
\(723\) 1.90476 0.945175i 0.0708388 0.0351514i
\(724\) −24.9535 31.5094i −0.927391 1.17104i
\(725\) −1.32755 + 20.2545i −0.0493041 + 0.752235i
\(726\) 4.14596 + 23.6216i 0.153871 + 0.876679i
\(727\) −24.7133 + 18.9632i −0.916566 + 0.703306i −0.955204 0.295948i \(-0.904365\pi\)
0.0386385 + 0.999253i \(0.487698\pi\)
\(728\) −0.120097 0.212785i −0.00445108 0.00788633i
\(729\) −9.96197 + 25.0950i −0.368962 + 0.929445i
\(730\) −10.6028 7.47569i −0.392426 0.276688i
\(731\) −44.0506 14.9531i −1.62927 0.553062i
\(732\) −1.65735 + 34.7377i −0.0612576 + 1.28394i
\(733\) −4.12039 + 8.35532i −0.152190 + 0.308611i −0.959594 0.281388i \(-0.909205\pi\)
0.807404 + 0.589999i \(0.200872\pi\)
\(734\) 11.3389 + 9.16128i 0.418527 + 0.338149i
\(735\) −15.4365 + 11.9055i −0.569386 + 0.439142i
\(736\) 38.7572 5.32125i 1.42861 0.196144i
\(737\) 9.61277i 0.354091i
\(738\) −4.50042 + 10.2748i −0.165663 + 0.378221i
\(739\) 18.6649 + 27.9341i 0.686601 + 1.02757i 0.997033 + 0.0769754i \(0.0245263\pi\)
−0.310432 + 0.950596i \(0.600474\pi\)
\(740\) 7.19997 + 10.4264i 0.264676 + 0.383283i
\(741\) 8.88760 + 25.9713i 0.326494 + 0.954078i
\(742\) 0.259953 + 0.0235957i 0.00954317 + 0.000866224i
\(743\) −36.2066 27.7823i −1.32829 1.01923i −0.997134 0.0756579i \(-0.975894\pi\)
−0.331157 0.943576i \(-0.607439\pi\)
\(744\) −23.5300 13.8149i −0.862652 0.506479i
\(745\) −19.9555 + 15.3124i −0.731111 + 0.561002i
\(746\) 23.6374 + 37.3711i 0.865427 + 1.36825i
\(747\) 9.26603 + 3.09447i 0.339026 + 0.113221i
\(748\) 6.44147 + 4.78786i 0.235523 + 0.175061i
\(749\) −0.00895864 0.00785652i −0.000327342 0.000287071i
\(750\) −4.46519 + 28.8598i −0.163046 + 1.05381i
\(751\) 9.25218 34.5296i 0.337617 1.26000i −0.563388 0.826193i \(-0.690502\pi\)
0.901004 0.433810i \(-0.142831\pi\)
\(752\) −3.67779 1.39309i −0.134115 0.0508006i
\(753\) −10.9599 26.2760i −0.399403 0.957552i
\(754\) 26.4361 43.2473i 0.962745 1.57497i
\(755\) 21.4093 + 4.25858i 0.779166 + 0.154986i
\(756\) −0.208094 + 0.0322194i −0.00756831 + 0.00117181i
\(757\) −17.1523 + 25.6702i −0.623409 + 0.932998i 0.376569 + 0.926389i \(0.377104\pi\)
−0.999978 + 0.00660929i \(0.997896\pi\)
\(758\) −28.4677 26.2568i −1.03399 0.953690i
\(759\) −9.33647 9.29050i −0.338893 0.337224i
\(760\) 11.2706 12.6014i 0.408829 0.457100i
\(761\) −11.5753 + 15.0853i −0.419606 + 0.546841i −0.954552 0.298045i \(-0.903665\pi\)
0.534946 + 0.844886i \(0.320332\pi\)
\(762\) −8.07626 + 8.79978i −0.292572 + 0.318783i
\(763\) 0.0690845 0.203516i 0.00250103 0.00736779i
\(764\) −17.3242 19.1549i −0.626769 0.693001i
\(765\) 5.74105 + 16.6423i 0.207568 + 0.601702i
\(766\) −15.3159 + 34.5030i −0.553387 + 1.24665i
\(767\) 14.5000 25.1148i 0.523566 0.906842i
\(768\) 24.0242 13.8144i 0.866900 0.498483i
\(769\) 10.1503 + 17.5808i 0.366028 + 0.633979i 0.988941 0.148312i \(-0.0473841\pi\)
−0.622913 + 0.782291i \(0.714051\pi\)
\(770\) 0.0503826 0.00535192i 0.00181566 0.000192870i
\(771\) 0.814810 0.718135i 0.0293447 0.0258630i
\(772\) 37.9835