Properties

Label 70.2.k.a.33.4
Level $70$
Weight $2$
Character 70.33
Analytic conductor $0.559$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 70 = 2 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 70.k (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.558952814149\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} + \cdots)\)
Defining polynomial: \(x^{16} + 10 x^{14} + 61 x^{12} + 266 x^{10} + 852 x^{8} + 1438 x^{6} + 1933 x^{4} + 3038 x^{2} + 2401\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 33.4
Root \(-0.144868 - 1.25092i\) of defining polynomial
Character \(\chi\) \(=\) 70.33
Dual form 70.2.k.a.17.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.258819 + 0.965926i) q^{2} +(1.95290 + 0.523277i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-1.82591 - 1.29076i) q^{5} +2.02179i q^{6} +(-1.90155 - 1.83959i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(0.941911 + 0.543813i) q^{9} +O(q^{10})\) \(q+(0.258819 + 0.965926i) q^{2} +(1.95290 + 0.523277i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-1.82591 - 1.29076i) q^{5} +2.02179i q^{6} +(-1.90155 - 1.83959i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(0.941911 + 0.543813i) q^{9} +(0.774197 - 2.09777i) q^{10} +(2.01999 + 3.49872i) q^{11} +(-1.95290 + 0.523277i) q^{12} +(-0.204875 + 0.204875i) q^{13} +(1.28475 - 2.31288i) q^{14} +(-2.89039 - 3.47617i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-0.527924 + 1.97024i) q^{17} +(-0.281498 + 1.05057i) q^{18} +(3.10166 - 5.37224i) q^{19} +(2.22666 + 0.204875i) q^{20} +(-2.75092 - 4.58757i) q^{21} +(-2.85669 + 2.85669i) q^{22} +(-4.38350 + 1.17456i) q^{23} +(-1.01089 - 1.75092i) q^{24} +(1.66789 + 4.71361i) q^{25} +(-0.250919 - 0.144868i) q^{26} +(-2.73397 - 2.73397i) q^{27} +(2.56659 + 0.642357i) q^{28} +7.15869i q^{29} +(2.60964 - 3.69160i) q^{30} +(6.33287 - 3.65628i) q^{31} +(0.965926 + 0.258819i) q^{32} +(2.11403 + 7.88965i) q^{33} -2.03974 q^{34} +(1.09759 + 5.81337i) q^{35} -1.08763 q^{36} +(1.19723 + 4.46814i) q^{37} +(5.99195 + 1.60554i) q^{38} +(-0.507306 + 0.292893i) q^{39} +(0.378409 + 2.20382i) q^{40} +2.58745i q^{41} +(3.71926 - 3.84454i) q^{42} +(-4.97801 - 4.97801i) q^{43} +(-3.49872 - 2.01999i) q^{44} +(-1.01791 - 2.20873i) q^{45} +(-2.26907 - 3.93014i) q^{46} +(-0.304388 + 0.0815604i) q^{47} +(1.42962 - 1.42962i) q^{48} +(0.231803 + 6.99616i) q^{49} +(-4.12132 + 2.83103i) q^{50} +(-2.06196 + 3.57142i) q^{51} +(0.0749894 - 0.279864i) q^{52} +(2.14370 - 8.00039i) q^{53} +(1.93321 - 3.34841i) q^{54} +(0.827689 - 8.99566i) q^{55} +(0.0438127 + 2.64539i) q^{56} +(8.86840 - 8.86840i) q^{57} +(-6.91477 + 1.85281i) q^{58} +(-0.427702 - 0.740802i) q^{59} +(4.24124 + 1.56526i) q^{60} +(-5.99356 - 3.46038i) q^{61} +(5.17076 + 5.17076i) q^{62} +(-0.790700 - 2.76682i) q^{63} +1.00000i q^{64} +(0.638527 - 0.109639i) q^{65} +(-7.07367 + 4.08398i) q^{66} +(3.05106 + 0.817530i) q^{67} +(-0.527924 - 1.97024i) q^{68} -9.17514 q^{69} +(-5.33121 + 2.56480i) q^{70} +7.12240 q^{71} +(-0.281498 - 1.05057i) q^{72} +(-11.1331 - 2.98311i) q^{73} +(-4.00603 + 2.31288i) q^{74} +(0.790684 + 10.0780i) q^{75} +6.20333i q^{76} +(2.59511 - 10.3690i) q^{77} +(-0.414214 - 0.414214i) q^{78} +(4.39618 + 2.53813i) q^{79} +(-2.03078 + 0.935904i) q^{80} +(-5.53997 - 9.59552i) q^{81} +(-2.49929 + 0.669683i) q^{82} +(3.85372 - 3.85372i) q^{83} +(4.67615 + 2.59749i) q^{84} +(3.50704 - 2.91605i) q^{85} +(3.51999 - 6.09680i) q^{86} +(-3.74598 + 13.9802i) q^{87} +(1.04562 - 3.90231i) q^{88} +(1.53615 - 2.66069i) q^{89} +(1.87002 - 1.55489i) q^{90} +(0.766467 - 0.0126942i) q^{91} +(3.20895 - 3.20895i) q^{92} +(14.2807 - 3.82650i) q^{93} +(-0.157563 - 0.272906i) q^{94} +(-12.5976 + 5.80572i) q^{95} +(1.75092 + 1.01089i) q^{96} +(6.63103 + 6.63103i) q^{97} +(-6.69778 + 2.03464i) q^{98} +4.39398i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q - 12 q^{5} + 8 q^{7} + O(q^{10}) \) \( 16 q - 12 q^{5} + 8 q^{7} - 12 q^{10} - 12 q^{11} + 16 q^{15} + 8 q^{16} - 36 q^{17} - 8 q^{18} - 28 q^{21} - 8 q^{22} - 4 q^{23} + 12 q^{25} + 12 q^{26} + 4 q^{28} + 20 q^{30} + 24 q^{31} + 48 q^{33} + 8 q^{35} - 8 q^{36} + 4 q^{37} + 24 q^{38} + 36 q^{42} - 8 q^{43} - 12 q^{45} - 8 q^{46} + 12 q^{47} - 32 q^{50} - 16 q^{51} - 28 q^{53} - 4 q^{56} + 8 q^{57} - 32 q^{58} + 8 q^{60} - 12 q^{61} - 36 q^{63} - 8 q^{65} + 32 q^{67} - 36 q^{68} - 12 q^{70} + 16 q^{71} - 8 q^{72} - 12 q^{73} - 48 q^{75} + 16 q^{77} + 16 q^{78} - 12 q^{80} - 48 q^{82} + 24 q^{85} + 12 q^{86} - 24 q^{87} - 4 q^{88} - 16 q^{91} + 8 q^{92} + 28 q^{93} + 20 q^{95} + 12 q^{96} + 40 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/70\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(57\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.258819 + 0.965926i 0.183013 + 0.683013i
\(3\) 1.95290 + 0.523277i 1.12751 + 0.302114i 0.773917 0.633287i \(-0.218295\pi\)
0.353588 + 0.935401i \(0.384961\pi\)
\(4\) −0.866025 + 0.500000i −0.433013 + 0.250000i
\(5\) −1.82591 1.29076i −0.816571 0.577245i
\(6\) 2.02179i 0.825391i
\(7\) −1.90155 1.83959i −0.718719 0.695300i
\(8\) −0.707107 0.707107i −0.250000 0.250000i
\(9\) 0.941911 + 0.543813i 0.313970 + 0.181271i
\(10\) 0.774197 2.09777i 0.244822 0.663372i
\(11\) 2.01999 + 3.49872i 0.609049 + 1.05490i 0.991397 + 0.130886i \(0.0417820\pi\)
−0.382349 + 0.924018i \(0.624885\pi\)
\(12\) −1.95290 + 0.523277i −0.563753 + 0.151057i
\(13\) −0.204875 + 0.204875i −0.0568221 + 0.0568221i −0.734947 0.678125i \(-0.762793\pi\)
0.678125 + 0.734947i \(0.262793\pi\)
\(14\) 1.28475 2.31288i 0.343364 0.618143i
\(15\) −2.89039 3.47617i −0.746295 0.897544i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −0.527924 + 1.97024i −0.128040 + 0.477853i −0.999930 0.0118498i \(-0.996228\pi\)
0.871890 + 0.489703i \(0.162895\pi\)
\(18\) −0.281498 + 1.05057i −0.0663498 + 0.247621i
\(19\) 3.10166 5.37224i 0.711571 1.23248i −0.252697 0.967545i \(-0.581318\pi\)
0.964267 0.264931i \(-0.0853491\pi\)
\(20\) 2.22666 + 0.204875i 0.497897 + 0.0458114i
\(21\) −2.75092 4.58757i −0.600300 1.00109i
\(22\) −2.85669 + 2.85669i −0.609049 + 0.609049i
\(23\) −4.38350 + 1.17456i −0.914023 + 0.244912i −0.685029 0.728516i \(-0.740210\pi\)
−0.228994 + 0.973428i \(0.573544\pi\)
\(24\) −1.01089 1.75092i −0.206348 0.357405i
\(25\) 1.66789 + 4.71361i 0.333577 + 0.942723i
\(26\) −0.250919 0.144868i −0.0492094 0.0284110i
\(27\) −2.73397 2.73397i −0.526152 0.526152i
\(28\) 2.56659 + 0.642357i 0.485040 + 0.121394i
\(29\) 7.15869i 1.32934i 0.747139 + 0.664668i \(0.231427\pi\)
−0.747139 + 0.664668i \(0.768573\pi\)
\(30\) 2.60964 3.69160i 0.476453 0.673991i
\(31\) 6.33287 3.65628i 1.13742 0.656688i 0.191627 0.981468i \(-0.438624\pi\)
0.945790 + 0.324780i \(0.105290\pi\)
\(32\) 0.965926 + 0.258819i 0.170753 + 0.0457532i
\(33\) 2.11403 + 7.88965i 0.368005 + 1.37341i
\(34\) −2.03974 −0.349813
\(35\) 1.09759 + 5.81337i 0.185527 + 0.982639i
\(36\) −1.08763 −0.181271
\(37\) 1.19723 + 4.46814i 0.196824 + 0.734558i 0.991787 + 0.127900i \(0.0408236\pi\)
−0.794963 + 0.606658i \(0.792510\pi\)
\(38\) 5.99195 + 1.60554i 0.972023 + 0.260453i
\(39\) −0.507306 + 0.292893i −0.0812340 + 0.0469005i
\(40\) 0.378409 + 2.20382i 0.0598317 + 0.348454i
\(41\) 2.58745i 0.404093i 0.979376 + 0.202046i \(0.0647591\pi\)
−0.979376 + 0.202046i \(0.935241\pi\)
\(42\) 3.71926 3.84454i 0.573895 0.593225i
\(43\) −4.97801 4.97801i −0.759140 0.759140i 0.217026 0.976166i \(-0.430364\pi\)
−0.976166 + 0.217026i \(0.930364\pi\)
\(44\) −3.49872 2.01999i −0.527452 0.304524i
\(45\) −1.01791 2.20873i −0.151742 0.329258i
\(46\) −2.26907 3.93014i −0.334556 0.579468i
\(47\) −0.304388 + 0.0815604i −0.0443995 + 0.0118968i −0.280950 0.959722i \(-0.590650\pi\)
0.236551 + 0.971619i \(0.423983\pi\)
\(48\) 1.42962 1.42962i 0.206348 0.206348i
\(49\) 0.231803 + 6.99616i 0.0331148 + 0.999452i
\(50\) −4.12132 + 2.83103i −0.582843 + 0.400368i
\(51\) −2.06196 + 3.57142i −0.288732 + 0.500099i
\(52\) 0.0749894 0.279864i 0.0103992 0.0388102i
\(53\) 2.14370 8.00039i 0.294460 1.09894i −0.647186 0.762332i \(-0.724054\pi\)
0.941646 0.336606i \(-0.109279\pi\)
\(54\) 1.93321 3.34841i 0.263076 0.455661i
\(55\) 0.827689 8.99566i 0.111606 1.21297i
\(56\) 0.0438127 + 2.64539i 0.00585472 + 0.353505i
\(57\) 8.86840 8.86840i 1.17465 1.17465i
\(58\) −6.91477 + 1.85281i −0.907953 + 0.243285i
\(59\) −0.427702 0.740802i −0.0556821 0.0964442i 0.836841 0.547446i \(-0.184400\pi\)
−0.892523 + 0.451002i \(0.851067\pi\)
\(60\) 4.24124 + 1.56526i 0.547541 + 0.202074i
\(61\) −5.99356 3.46038i −0.767397 0.443057i 0.0645484 0.997915i \(-0.479439\pi\)
−0.831945 + 0.554858i \(0.812773\pi\)
\(62\) 5.17076 + 5.17076i 0.656688 + 0.656688i
\(63\) −0.790700 2.76682i −0.0996189 0.348587i
\(64\) 1.00000i 0.125000i
\(65\) 0.638527 0.109639i 0.0791995 0.0135990i
\(66\) −7.07367 + 4.08398i −0.870708 + 0.502704i
\(67\) 3.05106 + 0.817530i 0.372747 + 0.0998772i 0.440329 0.897837i \(-0.354862\pi\)
−0.0675822 + 0.997714i \(0.521528\pi\)
\(68\) −0.527924 1.97024i −0.0640201 0.238926i
\(69\) −9.17514 −1.10456
\(70\) −5.33121 + 2.56480i −0.637201 + 0.306553i
\(71\) 7.12240 0.845273 0.422637 0.906299i \(-0.361105\pi\)
0.422637 + 0.906299i \(0.361105\pi\)
\(72\) −0.281498 1.05057i −0.0331749 0.123810i
\(73\) −11.1331 2.98311i −1.30303 0.349147i −0.460438 0.887692i \(-0.652307\pi\)
−0.842597 + 0.538545i \(0.818974\pi\)
\(74\) −4.00603 + 2.31288i −0.465691 + 0.268867i
\(75\) 0.790684 + 10.0780i 0.0913004 + 1.16370i
\(76\) 6.20333i 0.711571i
\(77\) 2.59511 10.3690i 0.295740 1.18165i
\(78\) −0.414214 0.414214i −0.0469005 0.0469005i
\(79\) 4.39618 + 2.53813i 0.494609 + 0.285562i 0.726484 0.687183i \(-0.241153\pi\)
−0.231876 + 0.972745i \(0.574486\pi\)
\(80\) −2.03078 + 0.935904i −0.227049 + 0.104637i
\(81\) −5.53997 9.59552i −0.615553 1.06617i
\(82\) −2.49929 + 0.669683i −0.276000 + 0.0739541i
\(83\) 3.85372 3.85372i 0.423001 0.423001i −0.463235 0.886236i \(-0.653311\pi\)
0.886236 + 0.463235i \(0.153311\pi\)
\(84\) 4.67615 + 2.59749i 0.510210 + 0.283410i
\(85\) 3.50704 2.91605i 0.380392 0.316290i
\(86\) 3.51999 6.09680i 0.379570 0.657434i
\(87\) −3.74598 + 13.9802i −0.401611 + 1.49883i
\(88\) 1.04562 3.90231i 0.111464 0.415988i
\(89\) 1.53615 2.66069i 0.162832 0.282033i −0.773051 0.634343i \(-0.781271\pi\)
0.935883 + 0.352310i \(0.114604\pi\)
\(90\) 1.87002 1.55489i 0.197117 0.163900i
\(91\) 0.766467 0.0126942i 0.0803475 0.00133071i
\(92\) 3.20895 3.20895i 0.334556 0.334556i
\(93\) 14.2807 3.82650i 1.48084 0.396789i
\(94\) −0.157563 0.272906i −0.0162513 0.0281481i
\(95\) −12.5976 + 5.80572i −1.29249 + 0.595655i
\(96\) 1.75092 + 1.01089i 0.178702 + 0.103174i
\(97\) 6.63103 + 6.63103i 0.673279 + 0.673279i 0.958471 0.285191i \(-0.0920572\pi\)
−0.285191 + 0.958471i \(0.592057\pi\)
\(98\) −6.69778 + 2.03464i −0.676578 + 0.205530i
\(99\) 4.39398i 0.441611i
\(100\) −3.80124 3.24817i −0.380124 0.324817i
\(101\) −8.56364 + 4.94422i −0.852114 + 0.491968i −0.861364 0.507989i \(-0.830389\pi\)
0.00924966 + 0.999957i \(0.497056\pi\)
\(102\) −3.98340 1.06735i −0.394416 0.105683i
\(103\) 1.10827 + 4.13612i 0.109201 + 0.407544i 0.998788 0.0492221i \(-0.0156742\pi\)
−0.889587 + 0.456766i \(0.849008\pi\)
\(104\) 0.289737 0.0284110
\(105\) −0.898518 + 11.9273i −0.0876864 + 1.16398i
\(106\) 8.28261 0.804479
\(107\) −3.84918 14.3653i −0.372114 1.38875i −0.857516 0.514457i \(-0.827993\pi\)
0.485402 0.874291i \(-0.338673\pi\)
\(108\) 3.73467 + 1.00070i 0.359369 + 0.0962926i
\(109\) 11.4586 6.61564i 1.09754 0.633664i 0.161964 0.986797i \(-0.448217\pi\)
0.935573 + 0.353133i \(0.114884\pi\)
\(110\) 8.90336 1.52876i 0.848902 0.145762i
\(111\) 9.35230i 0.887681i
\(112\) −2.54391 + 0.726997i −0.240377 + 0.0686947i
\(113\) 9.75336 + 9.75336i 0.917519 + 0.917519i 0.996848 0.0793296i \(-0.0252780\pi\)
−0.0793296 + 0.996848i \(0.525278\pi\)
\(114\) 10.8615 + 6.27091i 1.01728 + 0.587324i
\(115\) 9.51994 + 3.51341i 0.887739 + 0.327627i
\(116\) −3.57935 6.19961i −0.332334 0.575619i
\(117\) −0.304388 + 0.0815604i −0.0281406 + 0.00754026i
\(118\) 0.604862 0.604862i 0.0556821 0.0556821i
\(119\) 4.62831 2.77535i 0.424276 0.254416i
\(120\) −0.414214 + 4.50184i −0.0378124 + 0.410960i
\(121\) −2.66069 + 4.60846i −0.241881 + 0.418951i
\(122\) 1.79123 6.68495i 0.162170 0.605227i
\(123\) −1.35396 + 5.05303i −0.122082 + 0.455617i
\(124\) −3.65628 + 6.33287i −0.328344 + 0.568708i
\(125\) 3.03873 10.7595i 0.271792 0.962356i
\(126\) 2.46790 1.47986i 0.219858 0.131837i
\(127\) −2.19984 + 2.19984i −0.195204 + 0.195204i −0.797940 0.602736i \(-0.794077\pi\)
0.602736 + 0.797940i \(0.294077\pi\)
\(128\) −0.965926 + 0.258819i −0.0853766 + 0.0228766i
\(129\) −7.11667 12.3264i −0.626587 1.08528i
\(130\) 0.271166 + 0.588393i 0.0237828 + 0.0516055i
\(131\) −6.32091 3.64938i −0.552260 0.318848i 0.197773 0.980248i \(-0.436629\pi\)
−0.750033 + 0.661400i \(0.769963\pi\)
\(132\) −5.77563 5.77563i −0.502704 0.502704i
\(133\) −15.7807 + 4.50980i −1.36836 + 0.391049i
\(134\) 3.15869i 0.272870i
\(135\) 1.46309 + 8.52087i 0.125922 + 0.733360i
\(136\) 1.76647 1.01987i 0.151473 0.0874531i
\(137\) −6.93431 1.85804i −0.592438 0.158743i −0.0498710 0.998756i \(-0.515881\pi\)
−0.542567 + 0.840012i \(0.682548\pi\)
\(138\) −2.37470 8.86251i −0.202148 0.754427i
\(139\) −12.4172 −1.05321 −0.526605 0.850110i \(-0.676535\pi\)
−0.526605 + 0.850110i \(0.676535\pi\)
\(140\) −3.85723 4.48573i −0.325995 0.379113i
\(141\) −0.637116 −0.0536549
\(142\) 1.84341 + 6.87971i 0.154696 + 0.577332i
\(143\) −1.13064 0.302955i −0.0945492 0.0253344i
\(144\) 0.941911 0.543813i 0.0784926 0.0453177i
\(145\) 9.24014 13.0711i 0.767352 1.08550i
\(146\) 11.5259i 0.953887i
\(147\) −3.20824 + 13.7841i −0.264611 + 1.13689i
\(148\) −3.27091 3.27091i −0.268867 0.268867i
\(149\) −20.7399 11.9742i −1.69908 0.980963i −0.946637 0.322302i \(-0.895543\pi\)
−0.752440 0.658661i \(-0.771123\pi\)
\(150\) −9.52993 + 3.37211i −0.778115 + 0.275332i
\(151\) 1.77167 + 3.06862i 0.144176 + 0.249721i 0.929065 0.369916i \(-0.120613\pi\)
−0.784889 + 0.619636i \(0.787280\pi\)
\(152\) −5.99195 + 1.60554i −0.486012 + 0.130226i
\(153\) −1.56870 + 1.56870i −0.126822 + 0.126822i
\(154\) 10.6873 0.177002i 0.861207 0.0142632i
\(155\) −16.2826 1.49816i −1.30785 0.120335i
\(156\) 0.292893 0.507306i 0.0234502 0.0406170i
\(157\) −1.58462 + 5.91389i −0.126467 + 0.471980i −0.999888 0.0149859i \(-0.995230\pi\)
0.873421 + 0.486966i \(0.161896\pi\)
\(158\) −1.31384 + 4.90330i −0.104523 + 0.390086i
\(159\) 8.37284 14.5022i 0.664010 1.15010i
\(160\) −1.42962 1.71936i −0.113021 0.135927i
\(161\) 10.4962 + 5.83037i 0.827213 + 0.459498i
\(162\) 7.83471 7.83471i 0.615553 0.615553i
\(163\) 15.9937 4.28549i 1.25272 0.335666i 0.429334 0.903146i \(-0.358748\pi\)
0.823387 + 0.567480i \(0.192082\pi\)
\(164\) −1.29373 2.24080i −0.101023 0.174977i
\(165\) 6.32361 17.1345i 0.492293 1.33392i
\(166\) 4.71983 + 2.72499i 0.366329 + 0.211500i
\(167\) 10.2873 + 10.2873i 0.796056 + 0.796056i 0.982471 0.186415i \(-0.0596869\pi\)
−0.186415 + 0.982471i \(0.559687\pi\)
\(168\) −1.29871 + 5.18910i −0.100198 + 0.400348i
\(169\) 12.9161i 0.993543i
\(170\) 3.72438 + 2.63281i 0.285647 + 0.201927i
\(171\) 5.84298 3.37345i 0.446824 0.257974i
\(172\) 6.80009 + 1.82208i 0.518502 + 0.138932i
\(173\) 2.01155 + 7.50720i 0.152935 + 0.570762i 0.999273 + 0.0381159i \(0.0121356\pi\)
−0.846338 + 0.532646i \(0.821198\pi\)
\(174\) −14.4734 −1.09722
\(175\) 5.49955 12.0314i 0.415727 0.909489i
\(176\) 4.03997 0.304524
\(177\) −0.447613 1.67052i −0.0336447 0.125564i
\(178\) 2.96762 + 0.795171i 0.222432 + 0.0596006i
\(179\) −3.34695 + 1.93236i −0.250163 + 0.144431i −0.619839 0.784729i \(-0.712802\pi\)
0.369676 + 0.929161i \(0.379469\pi\)
\(180\) 1.98590 + 1.40386i 0.148021 + 0.104638i
\(181\) 6.99107i 0.519642i −0.965657 0.259821i \(-0.916336\pi\)
0.965657 0.259821i \(-0.0836636\pi\)
\(182\) 0.210638 + 0.737064i 0.0156135 + 0.0546348i
\(183\) −9.89407 9.89407i −0.731390 0.731390i
\(184\) 3.93014 + 2.26907i 0.289734 + 0.167278i
\(185\) 3.58125 9.70376i 0.263299 0.713435i
\(186\) 7.39223 + 12.8037i 0.542024 + 0.938814i
\(187\) −7.95971 + 2.13280i −0.582071 + 0.155966i
\(188\) 0.222827 0.222827i 0.0162513 0.0162513i
\(189\) 0.169398 + 10.2282i 0.0123219 + 0.743990i
\(190\) −8.86840 10.6657i −0.643381 0.773774i
\(191\) −2.23721 + 3.87496i −0.161879 + 0.280383i −0.935543 0.353214i \(-0.885089\pi\)
0.773664 + 0.633597i \(0.218422\pi\)
\(192\) −0.523277 + 1.95290i −0.0377643 + 0.140938i
\(193\) −5.19573 + 19.3907i −0.373997 + 1.39577i 0.480809 + 0.876825i \(0.340343\pi\)
−0.854805 + 0.518949i \(0.826324\pi\)
\(194\) −4.68885 + 8.12132i −0.336640 + 0.583077i
\(195\) 1.30435 + 0.120013i 0.0934064 + 0.00859431i
\(196\) −3.69883 5.94295i −0.264202 0.424497i
\(197\) −7.84901 + 7.84901i −0.559219 + 0.559219i −0.929085 0.369866i \(-0.879404\pi\)
0.369866 + 0.929085i \(0.379404\pi\)
\(198\) −4.24426 + 1.13725i −0.301626 + 0.0808205i
\(199\) 5.40103 + 9.35485i 0.382869 + 0.663148i 0.991471 0.130327i \(-0.0416028\pi\)
−0.608602 + 0.793475i \(0.708270\pi\)
\(200\) 2.15365 4.51240i 0.152286 0.319075i
\(201\) 5.53062 + 3.19310i 0.390100 + 0.225224i
\(202\) −6.99218 6.99218i −0.491968 0.491968i
\(203\) 13.1691 13.6126i 0.924288 0.955419i
\(204\) 4.12392i 0.288732i
\(205\) 3.33978 4.72446i 0.233260 0.329970i
\(206\) −3.70835 + 2.14101i −0.258373 + 0.149172i
\(207\) −4.76761 1.27748i −0.331372 0.0887908i
\(208\) 0.0749894 + 0.279864i 0.00519958 + 0.0194051i
\(209\) 25.0613 1.73353
\(210\) −11.7534 + 2.21910i −0.811062 + 0.153132i
\(211\) 7.56555 0.520834 0.260417 0.965496i \(-0.416140\pi\)
0.260417 + 0.965496i \(0.416140\pi\)
\(212\) 2.14370 + 8.00039i 0.147230 + 0.549469i
\(213\) 13.9093 + 3.72699i 0.953050 + 0.255369i
\(214\) 12.8796 7.43604i 0.880431 0.508317i
\(215\) 2.66399 + 15.5148i 0.181682 + 1.05810i
\(216\) 3.86642i 0.263076i
\(217\) −18.7683 4.69728i −1.27408 0.318872i
\(218\) 9.35593 + 9.35593i 0.633664 + 0.633664i
\(219\) −20.1809 11.6514i −1.36370 0.787330i
\(220\) 3.78103 + 8.20431i 0.254917 + 0.553135i
\(221\) −0.295494 0.511811i −0.0198771 0.0344281i
\(222\) −9.03363 + 2.42055i −0.606298 + 0.162457i
\(223\) −9.35230 + 9.35230i −0.626277 + 0.626277i −0.947129 0.320853i \(-0.896031\pi\)
0.320853 + 0.947129i \(0.396031\pi\)
\(224\) −1.36064 2.26907i −0.0909114 0.151608i
\(225\) −0.992322 + 5.34682i −0.0661548 + 0.356455i
\(226\) −6.89667 + 11.9454i −0.458759 + 0.794595i
\(227\) 4.19127 15.6420i 0.278184 1.03820i −0.675493 0.737367i \(-0.736069\pi\)
0.953677 0.300832i \(-0.0972643\pi\)
\(228\) −3.24606 + 12.1145i −0.214976 + 0.802300i
\(229\) −5.88820 + 10.1987i −0.389103 + 0.673947i −0.992329 0.123624i \(-0.960548\pi\)
0.603226 + 0.797570i \(0.293882\pi\)
\(230\) −0.929750 + 10.1049i −0.0613059 + 0.666297i
\(231\) 10.4938 18.8915i 0.690442 1.24297i
\(232\) 5.06196 5.06196i 0.332334 0.332334i
\(233\) 5.52920 1.48154i 0.362230 0.0970591i −0.0731138 0.997324i \(-0.523294\pi\)
0.435343 + 0.900264i \(0.356627\pi\)
\(234\) −0.157563 0.272906i −0.0103002 0.0178405i
\(235\) 0.661059 + 0.243969i 0.0431227 + 0.0159148i
\(236\) 0.740802 + 0.427702i 0.0482221 + 0.0278410i
\(237\) 7.25713 + 7.25713i 0.471402 + 0.471402i
\(238\) 3.87867 + 3.75229i 0.251417 + 0.243225i
\(239\) 8.33794i 0.539337i −0.962953 0.269668i \(-0.913086\pi\)
0.962953 0.269668i \(-0.0869141\pi\)
\(240\) −4.45565 + 0.765062i −0.287611 + 0.0493845i
\(241\) 2.56723 1.48219i 0.165370 0.0954763i −0.415031 0.909807i \(-0.636229\pi\)
0.580401 + 0.814331i \(0.302896\pi\)
\(242\) −5.14006 1.37728i −0.330416 0.0885347i
\(243\) −2.79578 10.4340i −0.179349 0.669340i
\(244\) 6.92077 0.443057
\(245\) 8.60710 13.0736i 0.549887 0.835239i
\(246\) −5.23128 −0.333535
\(247\) 0.465184 + 1.73609i 0.0295989 + 0.110465i
\(248\) −7.06340 1.89263i −0.448526 0.120182i
\(249\) 9.54248 5.50936i 0.604730 0.349141i
\(250\) 11.1793 + 0.150429i 0.707043 + 0.00951396i
\(251\) 16.1800i 1.02127i 0.859796 + 0.510637i \(0.170590\pi\)
−0.859796 + 0.510637i \(0.829410\pi\)
\(252\) 2.06818 + 2.00079i 0.130283 + 0.126038i
\(253\) −12.9641 12.9641i −0.815043 0.815043i
\(254\) −2.69424 1.55552i −0.169052 0.0976020i
\(255\) 8.37479 3.85960i 0.524450 0.241697i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −5.62621 + 1.50754i −0.350954 + 0.0940377i −0.429989 0.902834i \(-0.641483\pi\)
0.0790355 + 0.996872i \(0.474816\pi\)
\(258\) 10.0645 10.0645i 0.626587 0.626587i
\(259\) 5.94295 10.6988i 0.369277 0.664793i
\(260\) −0.498161 + 0.414214i −0.0308946 + 0.0256884i
\(261\) −3.89299 + 6.74285i −0.240970 + 0.417372i
\(262\) 1.88906 7.05006i 0.116706 0.435554i
\(263\) 0.449601 1.67793i 0.0277236 0.103466i −0.950678 0.310180i \(-0.899611\pi\)
0.978401 + 0.206715i \(0.0662772\pi\)
\(264\) 4.08398 7.07367i 0.251352 0.435354i
\(265\) −14.2408 + 11.8410i −0.874803 + 0.727386i
\(266\) −8.44048 14.0758i −0.517519 0.863041i
\(267\) 4.39223 4.39223i 0.268800 0.268800i
\(268\) −3.05106 + 0.817530i −0.186373 + 0.0499386i
\(269\) 1.89169 + 3.27650i 0.115338 + 0.199772i 0.917915 0.396777i \(-0.129872\pi\)
−0.802577 + 0.596549i \(0.796538\pi\)
\(270\) −7.85185 + 3.61860i −0.477849 + 0.220221i
\(271\) −18.4029 10.6249i −1.11789 0.645416i −0.177032 0.984205i \(-0.556649\pi\)
−0.940862 + 0.338789i \(0.889983\pi\)
\(272\) 1.44231 + 1.44231i 0.0874531 + 0.0874531i
\(273\) 1.50347 + 0.376284i 0.0909943 + 0.0227737i
\(274\) 7.17893i 0.433695i
\(275\) −13.1225 + 15.3569i −0.791317 + 0.926056i
\(276\) 7.94591 4.58757i 0.478287 0.276139i
\(277\) 4.72353 + 1.26567i 0.283810 + 0.0760465i 0.397916 0.917422i \(-0.369734\pi\)
−0.114106 + 0.993469i \(0.536400\pi\)
\(278\) −3.21380 11.9941i −0.192751 0.719356i
\(279\) 7.95333 0.476153
\(280\) 3.33456 4.88679i 0.199278 0.292042i
\(281\) −29.4776 −1.75849 −0.879243 0.476373i \(-0.841951\pi\)
−0.879243 + 0.476373i \(0.841951\pi\)
\(282\) −0.164898 0.615407i −0.00981952 0.0366470i
\(283\) −10.8991 2.92041i −0.647886 0.173601i −0.0801133 0.996786i \(-0.525528\pi\)
−0.567773 + 0.823185i \(0.692195\pi\)
\(284\) −6.16818 + 3.56120i −0.366014 + 0.211318i
\(285\) −27.6399 + 4.74593i −1.63724 + 0.281125i
\(286\) 1.17053i 0.0692148i
\(287\) 4.75986 4.92018i 0.280966 0.290429i
\(288\) 0.769067 + 0.769067i 0.0453177 + 0.0453177i
\(289\) 11.1193 + 6.41973i 0.654076 + 0.377631i
\(290\) 15.0173 + 5.54224i 0.881844 + 0.325451i
\(291\) 9.47985 + 16.4196i 0.555719 + 0.962533i
\(292\) 11.1331 2.98311i 0.651517 0.174573i
\(293\) 7.23407 7.23407i 0.422619 0.422619i −0.463485 0.886105i \(-0.653401\pi\)
0.886105 + 0.463485i \(0.153401\pi\)
\(294\) −14.1448 + 0.468657i −0.824939 + 0.0273326i
\(295\) −0.175251 + 1.90470i −0.0102035 + 0.110896i
\(296\) 2.31288 4.00603i 0.134433 0.232846i
\(297\) 4.04281 15.0880i 0.234588 0.875493i
\(298\) 6.19829 23.1323i 0.359057 1.34002i
\(299\) 0.657432 1.13871i 0.0380203 0.0658531i
\(300\) −5.72374 8.33243i −0.330460 0.481073i
\(301\) 0.308440 + 18.6235i 0.0177782 + 1.07344i
\(302\) −2.50552 + 2.50552i −0.144176 + 0.144176i
\(303\) −19.3111 + 5.17439i −1.10939 + 0.297261i
\(304\) −3.10166 5.37224i −0.177893 0.308119i
\(305\) 6.47718 + 14.0546i 0.370882 + 0.804763i
\(306\) −1.92125 1.10924i −0.109831 0.0634108i
\(307\) 1.07859 + 1.07859i 0.0615584 + 0.0615584i 0.737216 0.675657i \(-0.236140\pi\)
−0.675657 + 0.737216i \(0.736140\pi\)
\(308\) 2.93705 + 10.2773i 0.167354 + 0.585605i
\(309\) 8.65735i 0.492500i
\(310\) −2.76714 16.1156i −0.157163 0.915302i
\(311\) −8.33830 + 4.81412i −0.472821 + 0.272984i −0.717420 0.696641i \(-0.754677\pi\)
0.244599 + 0.969624i \(0.421344\pi\)
\(312\) 0.565826 + 0.151613i 0.0320336 + 0.00858338i
\(313\) 0.783378 + 2.92361i 0.0442791 + 0.165252i 0.984525 0.175244i \(-0.0560716\pi\)
−0.940246 + 0.340496i \(0.889405\pi\)
\(314\) −6.12251 −0.345513
\(315\) −2.12755 + 6.07257i −0.119874 + 0.342150i
\(316\) −5.07627 −0.285562
\(317\) 0.504353 + 1.88227i 0.0283273 + 0.105719i 0.978642 0.205572i \(-0.0659054\pi\)
−0.950315 + 0.311291i \(0.899239\pi\)
\(318\) 16.1751 + 4.33410i 0.907054 + 0.243044i
\(319\) −25.0463 + 14.4605i −1.40232 + 0.809631i
\(320\) 1.29076 1.82591i 0.0721556 0.102071i
\(321\) 30.0682i 1.67824i
\(322\) −2.91510 + 11.6475i −0.162452 + 0.649091i
\(323\) 8.94715 + 8.94715i 0.497833 + 0.497833i
\(324\) 9.59552 + 5.53997i 0.533084 + 0.307776i
\(325\) −1.30741 0.623993i −0.0725220 0.0346129i
\(326\) 8.27894 + 14.3395i 0.458528 + 0.794194i
\(327\) 25.8393 6.92363i 1.42892 0.382878i
\(328\) 1.82961 1.82961i 0.101023 0.101023i
\(329\) 0.728847 + 0.404858i 0.0401826 + 0.0223205i
\(330\) 18.1873 + 1.67341i 1.00118 + 0.0921183i
\(331\) 14.4468 25.0225i 0.794066 1.37536i −0.129365 0.991597i \(-0.541294\pi\)
0.923431 0.383765i \(-0.125373\pi\)
\(332\) −1.41056 + 5.26428i −0.0774145 + 0.288915i
\(333\) −1.30214 + 4.85966i −0.0713570 + 0.266308i
\(334\) −7.27423 + 12.5993i −0.398028 + 0.689405i
\(335\) −4.51573 5.43092i −0.246721 0.296723i
\(336\) −5.34841 + 0.0885800i −0.291780 + 0.00483244i
\(337\) −0.823226 + 0.823226i −0.0448440 + 0.0448440i −0.729173 0.684329i \(-0.760095\pi\)
0.684329 + 0.729173i \(0.260095\pi\)
\(338\) −12.4759 + 3.34292i −0.678602 + 0.181831i
\(339\) 13.9436 + 24.1510i 0.757312 + 1.31170i
\(340\) −1.57916 + 4.27890i −0.0856420 + 0.232056i
\(341\) 25.5846 + 14.7713i 1.38548 + 0.799910i
\(342\) 4.77078 + 4.77078i 0.257974 + 0.257974i
\(343\) 12.4293 13.7300i 0.671119 0.741350i
\(344\) 7.03997i 0.379570i
\(345\) 16.7530 + 11.8429i 0.901950 + 0.637600i
\(346\) −6.73077 + 3.88601i −0.361849 + 0.208913i
\(347\) 16.1350 + 4.32336i 0.866172 + 0.232090i 0.664432 0.747349i \(-0.268674\pi\)
0.201740 + 0.979439i \(0.435340\pi\)
\(348\) −3.74598 13.9802i −0.200806 0.749417i
\(349\) −36.7146 −1.96529 −0.982644 0.185503i \(-0.940608\pi\)
−0.982644 + 0.185503i \(0.940608\pi\)
\(350\) 13.0448 + 2.19820i 0.697276 + 0.117499i
\(351\) 1.12024 0.0597942
\(352\) 1.04562 + 3.90231i 0.0557318 + 0.207994i
\(353\) −13.7845 3.69356i −0.733677 0.196588i −0.127411 0.991850i \(-0.540667\pi\)
−0.606266 + 0.795262i \(0.707333\pi\)
\(354\) 1.49774 0.864723i 0.0796042 0.0459595i
\(355\) −13.0048 9.19329i −0.690226 0.487929i
\(356\) 3.07230i 0.162832i
\(357\) 10.4909 2.99808i 0.555236 0.158675i
\(358\) −2.73277 2.73277i −0.144431 0.144431i
\(359\) 23.4596 + 13.5444i 1.23815 + 0.714847i 0.968716 0.248172i \(-0.0798298\pi\)
0.269435 + 0.963019i \(0.413163\pi\)
\(360\) −0.842036 + 2.28158i −0.0443792 + 0.120250i
\(361\) −9.74064 16.8713i −0.512665 0.887962i
\(362\) 6.75285 1.80942i 0.354922 0.0951011i
\(363\) −7.60756 + 7.60756i −0.399293 + 0.399293i
\(364\) −0.657432 + 0.394227i −0.0344588 + 0.0206631i
\(365\) 16.4776 + 19.8171i 0.862477 + 1.03727i
\(366\) 6.99616 12.1177i 0.365695 0.633403i
\(367\) 5.86782 21.8990i 0.306298 1.14312i −0.625525 0.780204i \(-0.715115\pi\)
0.931823 0.362914i \(-0.118218\pi\)
\(368\) −1.17456 + 4.38350i −0.0612279 + 0.228506i
\(369\) −1.40709 + 2.43715i −0.0732502 + 0.126873i
\(370\) 10.3000 + 0.947702i 0.535472 + 0.0492687i
\(371\) −18.7938 + 11.2696i −0.975726 + 0.585090i
\(372\) −10.4542 + 10.4542i −0.542024 + 0.542024i
\(373\) 12.3984 3.32215i 0.641966 0.172014i 0.0768720 0.997041i \(-0.475507\pi\)
0.565094 + 0.825027i \(0.308840\pi\)
\(374\) −4.12025 7.13648i −0.213053 0.369019i
\(375\) 11.5645 19.4220i 0.597188 1.00295i
\(376\) 0.272906 + 0.157563i 0.0140741 + 0.00812567i
\(377\) −1.46664 1.46664i −0.0755356 0.0755356i
\(378\) −9.83581 + 2.81087i −0.505900 + 0.144576i
\(379\) 14.4739i 0.743476i −0.928338 0.371738i \(-0.878762\pi\)
0.928338 0.371738i \(-0.121238\pi\)
\(380\) 8.00700 11.3267i 0.410750 0.581048i
\(381\) −5.44718 + 3.14493i −0.279068 + 0.161120i
\(382\) −4.32196 1.15807i −0.221131 0.0592518i
\(383\) 0.453341 + 1.69189i 0.0231647 + 0.0864517i 0.976540 0.215334i \(-0.0690840\pi\)
−0.953376 + 0.301786i \(0.902417\pi\)
\(384\) −2.02179 −0.103174
\(385\) −18.1222 + 15.5831i −0.923595 + 0.794189i
\(386\) −20.0747 −1.02178
\(387\) −1.98174 7.39595i −0.100737 0.375957i
\(388\) −9.05816 2.42713i −0.459858 0.123219i
\(389\) 2.40954 1.39115i 0.122169 0.0705341i −0.437670 0.899135i \(-0.644196\pi\)
0.559839 + 0.828601i \(0.310863\pi\)
\(390\) 0.221667 + 1.29097i 0.0112245 + 0.0653706i
\(391\) 9.25661i 0.468127i
\(392\) 4.78312 5.11094i 0.241584 0.258142i
\(393\) −10.4344 10.4344i −0.526348 0.526348i
\(394\) −9.61304 5.55009i −0.484298 0.279610i
\(395\) −4.75090 10.3088i −0.239044 0.518692i
\(396\) −2.19699 3.80530i −0.110403 0.191223i
\(397\) 38.3163 10.2668i 1.92304 0.515277i 0.936828 0.349791i \(-0.113747\pi\)
0.986212 0.165486i \(-0.0529193\pi\)
\(398\) −7.63821 + 7.63821i −0.382869 + 0.382869i
\(399\) −33.1780 + 0.549491i −1.66098 + 0.0275089i
\(400\) 4.91605 + 0.912375i 0.245803 + 0.0456187i
\(401\) 9.98528 17.2950i 0.498641 0.863672i −0.501358 0.865240i \(-0.667166\pi\)
0.999999 + 0.00156835i \(0.000499221\pi\)
\(402\) −1.65287 + 6.16860i −0.0824378 + 0.307662i
\(403\) −0.548365 + 2.04653i −0.0273160 + 0.101945i
\(404\) 4.94422 8.56364i 0.245984 0.426057i
\(405\) −2.27000 + 24.6713i −0.112797 + 1.22593i
\(406\) 16.5572 + 9.19714i 0.821720 + 0.456446i
\(407\) −13.2144 + 13.2144i −0.655012 + 0.655012i
\(408\) 3.98340 1.06735i 0.197208 0.0528417i
\(409\) 7.65280 + 13.2550i 0.378407 + 0.655419i 0.990831 0.135110i \(-0.0431388\pi\)
−0.612424 + 0.790529i \(0.709805\pi\)
\(410\) 5.42787 + 2.00320i 0.268064 + 0.0989309i
\(411\) −12.5697 7.25713i −0.620019 0.357968i
\(412\) −3.02785 3.02785i −0.149172 0.149172i
\(413\) −0.549475 + 2.19547i −0.0270379 + 0.108032i
\(414\) 4.93579i 0.242581i
\(415\) −12.0108 + 2.06232i −0.589585 + 0.101235i
\(416\) −0.250919 + 0.144868i −0.0123023 + 0.00710276i
\(417\) −24.2495 6.49762i −1.18750 0.318190i
\(418\) 6.48634 + 24.2073i 0.317257 + 1.18402i
\(419\) 27.7027 1.35337 0.676684 0.736274i \(-0.263416\pi\)
0.676684 + 0.736274i \(0.263416\pi\)
\(420\) −5.18549 10.7786i −0.253026 0.525940i
\(421\) 33.0159 1.60910 0.804549 0.593887i \(-0.202407\pi\)
0.804549 + 0.593887i \(0.202407\pi\)
\(422\) 1.95811 + 7.30776i 0.0953192 + 0.355736i
\(423\) −0.331060 0.0887072i −0.0160967 0.00431309i
\(424\) −7.17295 + 4.14131i −0.348349 + 0.201120i
\(425\) −10.1675 + 0.797705i −0.493194 + 0.0386944i
\(426\) 14.4000i 0.697681i
\(427\) 5.03138 + 17.6058i 0.243485 + 0.852005i
\(428\) 10.5161 + 10.5161i 0.508317 + 0.508317i
\(429\) −2.04950 1.18328i −0.0989509 0.0571293i
\(430\) −14.2967 + 6.58874i −0.689446 + 0.317737i
\(431\) −11.9586 20.7129i −0.576027 0.997708i −0.995929 0.0901384i \(-0.971269\pi\)
0.419902 0.907569i \(-0.362064\pi\)
\(432\) −3.73467 + 1.00070i −0.179684 + 0.0481463i
\(433\) 13.2515 13.2515i 0.636829 0.636829i −0.312943 0.949772i \(-0.601315\pi\)
0.949772 + 0.312943i \(0.101315\pi\)
\(434\) −0.320383 19.3446i −0.0153789 0.928569i
\(435\) 24.8849 20.6914i 1.19314 0.992077i
\(436\) −6.61564 + 11.4586i −0.316832 + 0.548769i
\(437\) −7.28615 + 27.1923i −0.348544 + 1.30078i
\(438\) 6.03122 22.5088i 0.288183 1.07551i
\(439\) 7.05383 12.2176i 0.336661 0.583114i −0.647141 0.762370i \(-0.724036\pi\)
0.983802 + 0.179256i \(0.0573690\pi\)
\(440\) −6.94616 + 5.77563i −0.331145 + 0.275342i
\(441\) −3.58626 + 6.71582i −0.170774 + 0.319801i
\(442\) 0.417892 0.417892i 0.0198771 0.0198771i
\(443\) −20.3457 + 5.45161i −0.966652 + 0.259014i −0.707414 0.706800i \(-0.750138\pi\)
−0.259238 + 0.965813i \(0.583472\pi\)
\(444\) −4.67615 8.09933i −0.221920 0.384377i
\(445\) −6.23919 + 2.87538i −0.295766 + 0.136306i
\(446\) −11.4542 6.61308i −0.542371 0.313138i
\(447\) −34.2370 34.2370i −1.61936 1.61936i
\(448\) 1.83959 1.90155i 0.0869125 0.0898399i
\(449\) 31.3247i 1.47831i −0.673538 0.739153i \(-0.735226\pi\)
0.673538 0.739153i \(-0.264774\pi\)
\(450\) −5.42147 + 0.425351i −0.255570 + 0.0200512i
\(451\) −9.05278 + 5.22662i −0.426279 + 0.246112i
\(452\) −13.3233 3.56998i −0.626677 0.167918i
\(453\) 1.85415 + 6.91977i 0.0871154 + 0.325119i
\(454\) 16.1938 0.760014
\(455\) −1.41588 0.966145i −0.0663776 0.0452936i
\(456\) −12.5418 −0.587324
\(457\) −0.740622 2.76404i −0.0346448 0.129296i 0.946438 0.322887i \(-0.104653\pi\)
−0.981082 + 0.193591i \(0.937987\pi\)
\(458\) −11.3751 3.04796i −0.531525 0.142422i
\(459\) 6.82989 3.94324i 0.318792 0.184055i
\(460\) −10.0012 + 1.71727i −0.466309 + 0.0800681i
\(461\) 3.02674i 0.140969i −0.997513 0.0704846i \(-0.977545\pi\)
0.997513 0.0704846i \(-0.0224546\pi\)
\(462\) 20.9638 + 5.24675i 0.975325 + 0.244101i
\(463\) 19.2889 + 19.2889i 0.896431 + 0.896431i 0.995118 0.0986876i \(-0.0314644\pi\)
−0.0986876 + 0.995118i \(0.531464\pi\)
\(464\) 6.19961 + 3.57935i 0.287810 + 0.166167i
\(465\) −31.0143 11.4461i −1.43825 0.530799i
\(466\) 2.86212 + 4.95734i 0.132585 + 0.229644i
\(467\) −24.2727 + 6.50385i −1.12321 + 0.300962i −0.772180 0.635403i \(-0.780834\pi\)
−0.351026 + 0.936366i \(0.614167\pi\)
\(468\) 0.222827 0.222827i 0.0103002 0.0103002i
\(469\) −4.29784 7.16729i −0.198456 0.330955i
\(470\) −0.0645612 + 0.701677i −0.00297799 + 0.0323660i
\(471\) −6.18921 + 10.7200i −0.285184 + 0.493953i
\(472\) −0.221395 + 0.826257i −0.0101905 + 0.0380316i
\(473\) 7.36115 27.4722i 0.338466 1.26317i
\(474\) −5.13157 + 8.88814i −0.235701 + 0.408246i
\(475\) 30.4959 + 5.65976i 1.39925 + 0.259688i
\(476\) −2.62056 + 4.71767i −0.120113 + 0.216234i
\(477\) 6.36989 6.36989i 0.291657 0.291657i
\(478\) 8.05384 2.15802i 0.368374 0.0987055i
\(479\) 4.14346 + 7.17668i 0.189319 + 0.327911i 0.945024 0.327002i \(-0.106039\pi\)
−0.755704 + 0.654913i \(0.772705\pi\)
\(480\) −1.89220 4.10581i −0.0863667 0.187404i
\(481\) −1.16069 0.670127i −0.0529231 0.0305551i
\(482\) 2.09613 + 2.09613i 0.0954763 + 0.0954763i
\(483\) 17.4470 + 16.8785i 0.793867 + 0.767999i
\(484\) 5.32139i 0.241881i
\(485\) −3.54860 20.6667i −0.161134 0.938427i
\(486\) 9.35485 5.40103i 0.424345 0.244996i
\(487\) −10.3144 2.76375i −0.467392 0.125237i 0.0174340 0.999848i \(-0.494450\pi\)
−0.484826 + 0.874611i \(0.661117\pi\)
\(488\) 1.79123 + 6.68495i 0.0810850 + 0.302613i
\(489\) 33.4765 1.51386
\(490\) 14.8558 + 4.93014i 0.671115 + 0.222721i
\(491\) 25.7259 1.16100 0.580498 0.814262i \(-0.302858\pi\)
0.580498 + 0.814262i \(0.302858\pi\)
\(492\) −1.35396 5.05303i −0.0610411 0.227808i
\(493\) −14.1043 3.77924i −0.635227 0.170209i
\(494\) −1.55654 + 0.898666i −0.0700319 + 0.0404329i
\(495\) 5.67156 8.02300i 0.254918 0.360607i
\(496\) 7.31256i 0.328344i
\(497\) −13.5436 13.1023i −0.607514 0.587719i
\(498\) 7.79141 + 7.79141i 0.349141 + 0.349141i
\(499\) 12.6429 + 7.29940i 0.565975 + 0.326766i 0.755540 0.655102i \(-0.227374\pi\)
−0.189565 + 0.981868i \(0.560708\pi\)
\(500\) 2.74812 + 10.8373i 0.122900 + 0.484660i
\(501\) 14.7069 + 25.4732i 0.657058 + 1.13806i
\(502\) −15.6287 + 4.18770i −0.697543 + 0.186906i
\(503\) −13.9891 + 13.9891i −0.623744 + 0.623744i −0.946487 0.322743i \(-0.895395\pi\)
0.322743 + 0.946487i \(0.395395\pi\)
\(504\) −1.39733 + 2.51555i −0.0622419 + 0.112051i
\(505\) 22.0182 + 2.02589i 0.979798 + 0.0901510i
\(506\) 9.16697 15.8777i 0.407522 0.705848i
\(507\) −6.75868 + 25.2237i −0.300163 + 1.12022i
\(508\) 0.805197 3.00504i 0.0357248 0.133327i
\(509\) −1.42883 + 2.47481i −0.0633319 + 0.109694i −0.895953 0.444149i \(-0.853506\pi\)
0.832621 + 0.553843i \(0.186839\pi\)
\(510\) 5.89564 + 7.09049i 0.261063 + 0.313972i
\(511\) 15.6825 + 26.1530i 0.693754 + 1.15694i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) −23.1674 + 6.20768i −1.02287 + 0.274076i
\(514\) −2.91234 5.04433i −0.128458 0.222496i
\(515\) 3.31513 8.98269i 0.146082 0.395825i
\(516\) 12.3264 + 7.11667i 0.542641 + 0.313294i
\(517\) −0.900216 0.900216i −0.0395914 0.0395914i
\(518\) 11.8724 + 2.97139i 0.521644 + 0.130555i
\(519\) 15.7134i 0.689741i
\(520\) −0.529033 0.373980i −0.0231996 0.0164001i
\(521\) 24.7917 14.3135i 1.08614 0.627084i 0.153595 0.988134i \(-0.450915\pi\)
0.932547 + 0.361049i \(0.117581\pi\)
\(522\) −7.52068 2.01516i −0.329171 0.0882011i
\(523\) 8.17429 + 30.5069i 0.357437 + 1.33397i 0.877390 + 0.479777i \(0.159283\pi\)
−0.519954 + 0.854195i \(0.674051\pi\)
\(524\) 7.29876 0.318848
\(525\) 17.0358 20.6183i 0.743504 0.899857i
\(526\) 1.73712 0.0757422
\(527\) 3.86048 + 14.4075i 0.168165 + 0.627600i
\(528\) 7.88965 + 2.11403i 0.343353 + 0.0920012i
\(529\) −2.08308 + 1.20267i −0.0905687 + 0.0522899i
\(530\) −15.1233 10.6909i −0.656914 0.464381i
\(531\) 0.930359i 0.0403742i
\(532\) 11.4116 11.7960i 0.494755 0.511419i
\(533\) −0.530105 0.530105i −0.0229614 0.0229614i
\(534\) 5.37936 + 3.10577i 0.232788 + 0.134400i
\(535\) −11.5139 + 31.1981i −0.497790 + 1.34881i
\(536\) −1.57935 2.73551i −0.0682174 0.118156i
\(537\) −7.54741 + 2.02232i −0.325695 + 0.0872696i
\(538\) −2.67525 + 2.67525i −0.115338 + 0.115338i
\(539\) −24.0094 + 14.9432i −1.03416 + 0.643648i
\(540\) −5.52750 6.64775i −0.237866 0.286073i
\(541\) −18.4994 + 32.0420i −0.795353 + 1.37759i 0.127262 + 0.991869i \(0.459381\pi\)
−0.922615 + 0.385722i \(0.873952\pi\)
\(542\) 5.49985 20.5257i 0.236239 0.881655i
\(543\) 3.65827 13.6528i 0.156991 0.585899i
\(544\) −1.01987 + 1.76647i −0.0437266 + 0.0757366i
\(545\) −29.4616 2.71076i −1.26200 0.116116i
\(546\) 0.0256649 + 1.54963i 0.00109836 + 0.0663182i
\(547\) −20.0765 + 20.0765i −0.858409 + 0.858409i −0.991151 0.132742i \(-0.957622\pi\)
0.132742 + 0.991151i \(0.457622\pi\)
\(548\) 6.93431 1.85804i 0.296219 0.0793717i
\(549\) −3.76360 6.51875i −0.160627 0.278213i
\(550\) −18.2300 8.70071i −0.777329 0.370999i
\(551\) 38.4582 + 22.2039i 1.63838 + 0.945916i
\(552\) 6.48781 + 6.48781i 0.276139 + 0.276139i
\(553\) −3.69043 12.9136i −0.156933 0.549141i
\(554\) 4.89016i 0.207763i
\(555\) 12.0716 17.0765i 0.512409 0.724855i
\(556\) 10.7536 6.20859i 0.456054 0.263303i
\(557\) 24.8367 + 6.65499i 1.05237 + 0.281981i 0.743229 0.669037i \(-0.233293\pi\)
0.309137 + 0.951017i \(0.399960\pi\)
\(558\) 2.05847 + 7.68233i 0.0871421 + 0.325219i
\(559\) 2.03974 0.0862718
\(560\) 5.58332 + 1.95614i 0.235939 + 0.0826621i
\(561\) −16.6605 −0.703408
\(562\) −7.62937 28.4732i −0.321825 1.20107i
\(563\) 5.18407 + 1.38907i 0.218482 + 0.0585422i 0.366400 0.930458i \(-0.380590\pi\)
−0.147917 + 0.989000i \(0.547257\pi\)
\(564\) 0.551759 0.318558i 0.0232332 0.0134137i
\(565\) −5.21952 30.3980i −0.219587 1.27885i
\(566\) 11.2836i 0.474286i
\(567\) −7.11728 + 28.4377i −0.298898 + 1.19427i
\(568\) −5.03630 5.03630i −0.211318 0.211318i
\(569\) −22.0839 12.7502i −0.925806 0.534514i −0.0403234 0.999187i \(-0.512839\pi\)
−0.885483 + 0.464672i \(0.846172\pi\)
\(570\) −11.7379 25.4697i −0.491648 1.06681i
\(571\) −7.95235 13.7739i −0.332795 0.576419i 0.650263 0.759709i \(-0.274659\pi\)
−0.983059 + 0.183290i \(0.941325\pi\)
\(572\) 1.13064 0.302955i 0.0472746 0.0126672i
\(573\) −6.39672 + 6.39672i −0.267227 + 0.267227i
\(574\) 5.98447 + 3.32424i 0.249787 + 0.138751i
\(575\) −12.8476 18.7031i −0.535781 0.779973i
\(576\) −0.543813 + 0.941911i −0.0226589 + 0.0392463i
\(577\) −5.96565 + 22.2641i −0.248353 + 0.926867i 0.723315 + 0.690518i \(0.242617\pi\)
−0.971668 + 0.236349i \(0.924049\pi\)
\(578\) −3.32310 + 12.4020i −0.138223 + 0.515854i
\(579\) −20.2934 + 35.1493i −0.843366 + 1.46075i
\(580\) −1.46664 + 15.9400i −0.0608988 + 0.661872i
\(581\) −14.4173 + 0.238779i −0.598132 + 0.00990621i
\(582\) −13.4065 + 13.4065i −0.555719 + 0.555719i
\(583\) 32.3214 8.66048i 1.33861 0.358681i
\(584\) 5.76293 + 9.98169i 0.238472 + 0.413045i
\(585\) 0.661059 + 0.243969i 0.0273314 + 0.0100869i
\(586\) 8.85989 + 5.11526i 0.365999 + 0.211310i
\(587\) −28.2277 28.2277i −1.16508 1.16508i −0.983348 0.181734i \(-0.941829\pi\)
−0.181734 0.983348i \(-0.558171\pi\)
\(588\) −4.11362 13.5415i −0.169643 0.558441i
\(589\) 45.3622i 1.86912i
\(590\) −1.88515 + 0.323692i −0.0776105 + 0.0133262i
\(591\) −19.4355 + 11.2211i −0.799471 + 0.461575i
\(592\) 4.46814 + 1.19723i 0.183639 + 0.0492060i
\(593\) −9.16977 34.2220i −0.376557 1.40533i −0.851056 0.525075i \(-0.824037\pi\)
0.474499 0.880256i \(-0.342629\pi\)
\(594\) 15.6202 0.640905
\(595\) −12.0332 0.906496i −0.493312 0.0371627i
\(596\) 23.9483 0.980963
\(597\) 5.65247 + 21.0953i 0.231340 + 0.863373i
\(598\) 1.27006 + 0.340312i 0.0519367 + 0.0139164i
\(599\) −14.5339 + 8.39115i −0.593839 + 0.342853i −0.766614 0.642108i \(-0.778060\pi\)
0.172775 + 0.984961i \(0.444727\pi\)
\(600\) 6.56710 7.68530i 0.268101 0.313751i
\(601\) 1.73528i 0.0707833i −0.999374 0.0353917i \(-0.988732\pi\)
0.999374 0.0353917i \(-0.0112679\pi\)
\(602\) −17.9091 + 5.11804i −0.729919 + 0.208596i
\(603\) 2.42925 + 2.42925i 0.0989266 + 0.0989266i
\(604\) −3.06862 1.77167i −0.124860 0.0720881i
\(605\) 10.8066 4.98031i 0.439350 0.202478i
\(606\) −9.99616 17.3139i −0.406066 0.703327i
\(607\) 38.0930 10.2070i 1.54615 0.414288i 0.617900 0.786257i \(-0.287984\pi\)
0.928245 + 0.371968i \(0.121317\pi\)
\(608\) 4.38642 4.38642i 0.177893 0.177893i
\(609\) 32.8410 19.6930i 1.33079 0.798000i
\(610\) −11.8993 + 9.89407i −0.481787 + 0.400599i
\(611\) 0.0456517 0.0790711i 0.00184687 0.00319887i
\(612\) 0.574183 2.14288i 0.0232100 0.0866208i
\(613\) 0.0885018 0.330293i 0.00357455 0.0133404i −0.964116 0.265483i \(-0.914469\pi\)
0.967690 + 0.252143i \(0.0811352\pi\)
\(614\) −0.762678 + 1.32100i −0.0307792 + 0.0533111i
\(615\) 8.99444 7.47875i 0.362691 0.301572i
\(616\) −9.16697 + 5.49694i −0.369348 + 0.221478i
\(617\) 11.1876 11.1876i 0.450397 0.450397i −0.445089 0.895486i \(-0.646828\pi\)
0.895486 + 0.445089i \(0.146828\pi\)
\(618\) −8.36236 + 2.24069i −0.336383 + 0.0901337i
\(619\) −18.2682 31.6414i −0.734260 1.27178i −0.955047 0.296454i \(-0.904196\pi\)
0.220787 0.975322i \(-0.429138\pi\)
\(620\) 14.8502 6.84386i 0.596400 0.274856i
\(621\) 15.1956 + 8.77316i 0.609777 + 0.352055i
\(622\) −6.80819 6.80819i −0.272984 0.272984i
\(623\) −7.81566 + 2.23356i −0.313128 + 0.0894855i
\(624\) 0.585786i 0.0234502i
\(625\) −19.4363 + 15.7235i −0.777452 + 0.628942i
\(626\) −2.62123 + 1.51337i −0.104766 + 0.0604864i
\(627\) 48.9421 + 13.1140i 1.95456 + 0.523723i
\(628\) −1.58462 5.91389i −0.0632333 0.235990i
\(629\) −9.43535 −0.376212
\(630\) −6.41630 0.483360i −0.255631 0.0192575i
\(631\) −35.8189 −1.42593 −0.712964 0.701201i \(-0.752648\pi\)
−0.712964 + 0.701201i \(0.752648\pi\)
\(632\) −1.31384 4.90330i −0.0522616 0.195043i
\(633\) 14.7747 + 3.95888i 0.587243 + 0.157351i
\(634\) −1.68760 + 0.974335i −0.0670231 + 0.0386958i
\(635\) 6.85616 1.17725i 0.272079 0.0467176i
\(636\) 16.7457i 0.664010i
\(637\) −1.48083 1.38585i −0.0586726 0.0549093i
\(638\) −20.4502 20.4502i −0.809631 0.809631i
\(639\) 6.70867 + 3.87325i 0.265391 + 0.153223i
\(640\) 2.09777 + 0.774197i 0.0829215 + 0.0306028i
\(641\) 7.16573 + 12.4114i 0.283029 + 0.490221i 0.972129 0.234445i \(-0.0753272\pi\)
−0.689100 + 0.724666i \(0.741994\pi\)
\(642\) 29.0436 7.78222i 1.14626 0.307140i
\(643\) −7.65201 + 7.65201i −0.301766 + 0.301766i −0.841704 0.539939i \(-0.818447\pi\)
0.539939 + 0.841704i \(0.318447\pi\)
\(644\) −12.0051 + 0.198828i −0.473068 + 0.00783492i
\(645\) −2.91605 + 31.6928i −0.114819 + 1.24790i
\(646\) −6.32659 + 10.9580i −0.248916 + 0.431136i
\(647\) 8.37254 31.2468i 0.329159 1.22844i −0.580906 0.813971i \(-0.697302\pi\)
0.910065 0.414466i \(-0.136032\pi\)
\(648\) −2.86770 + 10.7024i −0.112654 + 0.420430i
\(649\) 1.72791 2.99282i 0.0678262 0.117478i
\(650\) 0.264349 1.42436i 0.0103686 0.0558681i
\(651\) −34.1947 18.9943i −1.34019 0.744447i
\(652\) −11.7082 + 11.7082i −0.458528 + 0.458528i
\(653\) 0.494788 0.132578i 0.0193625 0.00518818i −0.249125 0.968471i \(-0.580143\pi\)
0.268487 + 0.963283i \(0.413476\pi\)
\(654\) 13.3754 + 23.1669i 0.523020 + 0.905898i
\(655\) 6.83094 + 14.8222i 0.266907 + 0.579151i
\(656\) 2.24080 + 1.29373i 0.0874886 + 0.0505116i
\(657\) −8.86417 8.86417i −0.345824 0.345824i
\(658\) −0.202423 + 0.808797i −0.00789127 + 0.0315302i
\(659\) 19.5542i 0.761723i −0.924632 0.380862i \(-0.875627\pi\)
0.924632 0.380862i \(-0.124373\pi\)
\(660\) 3.09083 + 18.0007i 0.120310 + 0.700676i
\(661\) 34.0324 19.6486i 1.32371 0.764242i 0.339388 0.940647i \(-0.389780\pi\)
0.984318 + 0.176405i \(0.0564468\pi\)
\(662\) 27.9090 + 7.47819i 1.08471 + 0.290648i
\(663\) −0.309250 1.15414i −0.0120103 0.0448230i
\(664\) −5.44998 −0.211500
\(665\) 34.6352 + 12.1346i 1.34310 + 0.470559i
\(666\) −5.03109 −0.194951
\(667\) −8.40828 31.3801i −0.325570 1.21504i
\(668\) −14.0527 3.76542i −0.543716 0.145688i
\(669\) −23.1579 + 13.3702i −0.895337 + 0.516923i
\(670\) 4.07711 5.76749i 0.157512 0.222817i
\(671\) 27.9597i 1.07937i
\(672\) −1.46983 5.14324i −0.0567000 0.198405i
\(673\) 18.4813 + 18.4813i 0.712401 + 0.712401i 0.967037 0.254636i \(-0.0819556\pi\)
−0.254636 + 0.967037i \(0.581956\pi\)
\(674\) −1.00824 0.582108i −0.0388360 0.0224220i
\(675\) 8.32692 17.4468i 0.320503 0.671528i
\(676\) −6.45803 11.1856i −0.248386 0.430217i
\(677\) −39.7951 + 10.6631i −1.52945 + 0.409815i −0.922840 0.385183i \(-0.874138\pi\)
−0.606611 + 0.794999i \(0.707472\pi\)
\(678\) −19.7192 + 19.7192i −0.757312 + 0.757312i
\(679\) −0.410862 24.8076i −0.0157674 0.952030i
\(680\) −4.54181 0.417892i −0.174171 0.0160254i
\(681\) 16.3702 28.3541i 0.627309 1.08653i
\(682\) −7.64618 + 28.5359i −0.292787 + 1.09270i
\(683\) −2.36248 + 8.81689i −0.0903978 + 0.337369i −0.996282 0.0861573i \(-0.972541\pi\)
0.905884 + 0.423526i \(0.139208\pi\)
\(684\) −3.37345 + 5.84298i −0.128987 + 0.223412i
\(685\) 10.2631 + 12.3431i 0.392134 + 0.471607i
\(686\) 16.4791 + 8.45219i 0.629175 + 0.322706i
\(687\) −16.8358 + 16.8358i −0.642325 + 0.642325i
\(688\) −6.80009 + 1.82208i −0.259251 + 0.0694661i
\(689\) 1.19989 + 2.07827i 0.0457121 + 0.0791758i
\(690\) −7.10337 + 19.2473i −0.270421 + 0.732732i
\(691\) −41.9971 24.2470i −1.59765 0.922401i −0.991940 0.126712i \(-0.959558\pi\)
−0.605706 0.795689i \(-0.707109\pi\)
\(692\) −5.49565 5.49565i −0.208913 0.208913i
\(693\) 8.08313 8.35538i 0.307053 0.317395i
\(694\) 16.7042i 0.634082i
\(695\) 22.6726 + 16.0276i 0.860022 + 0.607960i
\(696\) 12.5343 7.23668i 0.475111 0.274306i
\(697\) −5.09790 1.36598i −0.193097 0.0517401i
\(698\) −9.50244 35.4636i −0.359673 1.34232i
\(699\) 11.5732 0.437739
\(700\) 1.25296 + 13.1693i 0.0473573 + 0.497752i
\(701\) −30.8898 −1.16669 −0.583347 0.812223i \(-0.698257\pi\)
−0.583347 + 0.812223i \(0.698257\pi\)
\(702\) 0.289940 + 1.08207i 0.0109431 + 0.0408402i
\(703\) 27.7173 + 7.42684i 1.04538 + 0.280109i
\(704\) −3.49872 + 2.01999i −0.131863 + 0.0761311i
\(705\) 1.16332 + 0.822363i 0.0438130 + 0.0309720i
\(706\) 14.2708i 0.537089i
\(707\) 25.3796 + 6.35191i 0.954496 + 0.238888i
\(708\) 1.22290 + 1.22290i 0.0459595 + 0.0459595i
\(709\) 12.7354 + 7.35277i 0.478287 + 0.276139i 0.719702 0.694283i \(-0.244278\pi\)
−0.241416 + 0.970422i \(0.577612\pi\)
\(710\) 5.51414 14.9411i 0.206942 0.560730i
\(711\) 2.76054 + 4.78140i 0.103528 + 0.179316i
\(712\) −2.96762 + 0.795171i −0.111216 + 0.0298003i
\(713\) −23.4656 + 23.4656i −0.878795 + 0.878795i
\(714\) 5.61116 + 9.35745i 0.209992 + 0.350194i
\(715\) 1.67341 + 2.01256i 0.0625821 + 0.0752654i
\(716\) 1.93236 3.34695i 0.0722157 0.125081i
\(717\) 4.36306 16.2831i 0.162941 0.608105i
\(718\) −7.01110 + 26.1658i −0.261652 + 0.976499i
\(719\) −11.7360 + 20.3273i −0.437679 + 0.758082i −0.997510 0.0705247i \(-0.977533\pi\)
0.559831 + 0.828607i \(0.310866\pi\)
\(720\) −2.42177 0.222827i −0.0902542 0.00830428i
\(721\) 5.50134 9.90382i 0.204881 0.368837i
\(722\) 13.7753 13.7753i 0.512665 0.512665i
\(723\) 5.78913 1.55119i 0.215300 0.0576895i
\(724\) 3.49553 + 6.05444i 0.129911 + 0.225012i
\(725\) −33.7433 + 11.9399i −1.25320 + 0.443436i
\(726\) −9.31732 5.37936i −0.345798 0.199647i
\(727\) 14.1380 + 14.1380i 0.524349 + 0.524349i 0.918882 0.394533i \(-0.129093\pi\)
−0.394533 + 0.918882i \(0.629093\pi\)
\(728\) −0.550950 0.532998i −0.0204196 0.0197542i
\(729\) 11.4004i 0.422236i
\(730\) −14.8771 + 21.0452i −0.550626 + 0.778917i
\(731\) 12.4359 7.17986i 0.459958 0.265557i
\(732\) 13.5155 + 3.62148i 0.499549 + 0.133854i
\(733\) −7.17859 26.7908i −0.265147 0.989543i −0.962160 0.272484i \(-0.912155\pi\)
0.697013 0.717058i \(-0.254512\pi\)
\(734\) 22.6715 0.836821
\(735\) 23.6499 21.0274i 0.872339 0.775608i
\(736\) −4.53813 −0.167278
\(737\) 3.30280 + 12.3262i 0.121660 + 0.454042i
\(738\) −2.71829 0.728364i −0.100062 0.0268114i
\(739\) 11.7451 6.78102i 0.432050 0.249444i −0.268170 0.963372i \(-0.586419\pi\)
0.700219 + 0.713928i \(0.253085\pi\)
\(740\) 1.75043 + 10.1943i 0.0643470 + 0.374751i
\(741\) 3.63383i 0.133492i
\(742\) −15.7498 15.2366i −0.578194 0.559354i
\(743\) 13.5961 + 13.5961i 0.498791 + 0.498791i 0.911062 0.412270i \(-0.135264\pi\)
−0.412270 + 0.911062i \(0.635264\pi\)
\(744\) −12.8037 7.39223i −0.469407 0.271012i
\(745\) 22.4134 + 48.6339i 0.821162 + 1.78181i
\(746\) 6.41789 + 11.1161i 0.234976 + 0.406990i
\(747\) 5.72557 1.53416i 0.209488 0.0561320i
\(748\) 5.82691 5.82691i 0.213053 0.213053i
\(749\) −19.1069 + 34.3973i −0.698152 + 1.25685i
\(750\) 21.7534 + 6.14366i 0.794320 + 0.224335i
\(751\) −21.8309 + 37.8123i −0.796622 + 1.37979i 0.125182 + 0.992134i \(0.460049\pi\)
−0.921804 + 0.387656i \(0.873285\pi\)
\(752\) −0.0815604 + 0.304388i −0.00297420 + 0.0110999i
\(753\) −8.46663 + 31.5979i −0.308541 + 1.15149i
\(754\) 1.03707 1.79626i 0.0377678 0.0654158i
\(755\) 0.725941 7.88981i 0.0264197 0.287140i
\(756\) −5.26079 8.77316i −0.191333 0.319077i
\(757\) 7.88896 7.88896i 0.286729 0.286729i −0.549056 0.835785i \(-0.685013\pi\)
0.835785 + 0.549056i \(0.185013\pi\)
\(758\) 13.9807 3.74613i 0.507803 0.136065i
\(759\) −18.5337 32.1013i −0.672730 1.16520i
\(760\) 13.0131 + 4.80260i 0.472036 + 0.174208i
\(761\) −1.70923 0.986825i −0.0619596 0.0357724i 0.468700 0.883357i \(-0.344722\pi\)
−0.530660 + 0.847585i \(0.678056\pi\)
\(762\) −4.44761 4.44761i −0.161120 0.161120i
\(763\) −33.9593 8.49921i −1.22941 0.307692i
\(764\) 4.47442i 0.161879i
\(765\) 4.88911 0.839490i 0.176766 0.0303518i
\(766\) −1.51691 + 0.875788i −0.0548082 + 0.0316435i
\(767\) 0.239397 + 0.0641463i 0.00864413 + 0.00231619i
\(768\) −0.523277 1.95290i −0.0188821 0.0704691i
\(769\) 17.4914 0.630756 0.315378 0.948966i \(-0.397869\pi\)
0.315378 + 0.948966i \(0.397869\pi\)
\(770\) −19.7425 13.4715i −0.711470 0.485480i
\(771\) −11.7763 −0.424112