Properties

Label 168.2.v.a.107.19
Level $168$
Weight $2$
Character 168.107
Analytic conductor $1.341$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 168 = 2^{3} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 168.v (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.34148675396\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 107.19
Character \(\chi\) \(=\) 168.107
Dual form 168.2.v.a.11.19

$q$-expansion

\(f(q)\) \(=\) \(q+(0.819527 + 1.15255i) q^{2} +(1.03943 - 1.38549i) q^{3} +(-0.656749 + 1.88910i) q^{4} +(0.692094 - 1.19874i) q^{5} +(2.44869 + 0.0625523i) q^{6} +(2.08863 - 1.62408i) q^{7} +(-2.71550 + 0.791228i) q^{8} +(-0.839162 - 2.88024i) q^{9} +O(q^{10})\) \(q+(0.819527 + 1.15255i) q^{2} +(1.03943 - 1.38549i) q^{3} +(-0.656749 + 1.88910i) q^{4} +(0.692094 - 1.19874i) q^{5} +(2.44869 + 0.0625523i) q^{6} +(2.08863 - 1.62408i) q^{7} +(-2.71550 + 0.791228i) q^{8} +(-0.839162 - 2.88024i) q^{9} +(1.94880 - 0.184728i) q^{10} +(-3.82316 + 2.20731i) q^{11} +(1.93467 + 2.87351i) q^{12} +6.43609i q^{13} +(3.58352 + 1.07627i) q^{14} +(-0.941460 - 2.20490i) q^{15} +(-3.13736 - 2.48132i) q^{16} +(-2.52866 + 1.45992i) q^{17} +(2.63191 - 3.32762i) q^{18} +(1.58928 - 2.75271i) q^{19} +(1.81001 + 2.09470i) q^{20} +(-0.0791630 - 4.58189i) q^{21} +(-5.67722 - 2.59745i) q^{22} +(1.84696 - 3.19902i) q^{23} +(-1.72634 + 4.58473i) q^{24} +(1.54201 + 2.67084i) q^{25} +(-7.41792 + 5.27455i) q^{26} +(-4.86280 - 1.83117i) q^{27} +(1.69634 + 5.01223i) q^{28} -6.67884 q^{29} +(1.76971 - 2.89206i) q^{30} +(2.17580 - 1.25620i) q^{31} +(0.288700 - 5.64948i) q^{32} +(-0.915722 + 7.59130i) q^{33} +(-3.75494 - 1.71796i) q^{34} +(-0.501330 - 3.62774i) q^{35} +(5.99217 + 0.306343i) q^{36} +(-5.00149 - 2.88761i) q^{37} +(4.47510 - 0.424197i) q^{38} +(8.91713 + 6.68987i) q^{39} +(-0.930905 + 3.80279i) q^{40} -0.497427i q^{41} +(5.21599 - 3.84623i) q^{42} +0.865898 q^{43} +(-1.65895 - 8.67197i) q^{44} +(-4.03345 - 0.987462i) q^{45} +(5.20067 - 0.492975i) q^{46} +(1.59001 - 2.75398i) q^{47} +(-6.69892 + 1.76761i) q^{48} +(1.72472 - 6.78420i) q^{49} +(-1.81456 + 3.96608i) q^{50} +(-0.605663 + 5.02092i) q^{51} +(-12.1584 - 4.22690i) q^{52} +(4.12906 + 7.15175i) q^{53} +(-1.87468 - 7.10532i) q^{54} +6.11065i q^{55} +(-4.38665 + 6.06278i) q^{56} +(-2.16191 - 5.06319i) q^{57} +(-5.47350 - 7.69771i) q^{58} +(6.62279 - 3.82367i) q^{59} +(4.78357 - 0.330440i) q^{60} +(2.99321 + 1.72813i) q^{61} +(3.23096 + 1.47823i) q^{62} +(-6.43045 - 4.65289i) q^{63} +(6.74792 - 4.29716i) q^{64} +(7.71521 + 4.45438i) q^{65} +(-9.49982 + 5.16586i) q^{66} +(-3.36806 - 5.83364i) q^{67} +(-1.09724 - 5.73567i) q^{68} +(-2.51243 - 5.88411i) q^{69} +(3.77030 - 3.55084i) q^{70} +1.90437 q^{71} +(4.55768 + 7.15735i) q^{72} +(3.23515 + 5.60345i) q^{73} +(-0.770738 - 8.13095i) q^{74} +(5.30324 + 0.639719i) q^{75} +(4.15638 + 4.81014i) q^{76} +(-4.40032 + 10.8194i) q^{77} +(-0.402592 + 15.7600i) q^{78} +(1.65073 + 0.953048i) q^{79} +(-5.14582 + 2.04358i) q^{80} +(-7.59162 + 4.83398i) q^{81} +(0.573310 - 0.407655i) q^{82} +7.00064i q^{83} +(8.70762 + 2.85961i) q^{84} +4.04161i q^{85} +(0.709627 + 0.997992i) q^{86} +(-6.94220 + 9.25347i) q^{87} +(8.63533 - 9.01894i) q^{88} +(8.22776 + 4.75030i) q^{89} +(-2.16742 - 5.45801i) q^{90} +(10.4527 + 13.4426i) q^{91} +(4.83027 + 5.59004i) q^{92} +(0.521147 - 4.32029i) q^{93} +(4.47717 - 0.424393i) q^{94} +(-2.19986 - 3.81027i) q^{95} +(-7.52721 - 6.27224i) q^{96} +1.19214 q^{97} +(9.23259 - 3.57201i) q^{98} +(9.56583 + 9.15936i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q - 2 q^{3} - 2 q^{4} - 8 q^{6} - 2 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 56 q - 2 q^{3} - 2 q^{4} - 8 q^{6} - 2 q^{9} + 6 q^{10} + 10 q^{12} - 10 q^{16} - 10 q^{18} - 4 q^{19} - 20 q^{22} - 8 q^{24} - 16 q^{25} - 8 q^{27} - 22 q^{28} - 12 q^{30} - 14 q^{33} - 56 q^{34} + 4 q^{36} + 14 q^{40} - 8 q^{42} - 16 q^{43} - 12 q^{46} + 64 q^{48} - 16 q^{49} - 34 q^{51} - 8 q^{52} + 32 q^{54} + 4 q^{57} - 18 q^{58} + 40 q^{60} + 4 q^{64} - 20 q^{66} - 36 q^{67} - 42 q^{70} + 22 q^{72} + 4 q^{73} + 104 q^{76} + 28 q^{78} - 10 q^{81} + 52 q^{82} + 4 q^{84} + 46 q^{88} + 140 q^{90} + 72 q^{91} - 46 q^{96} - 32 q^{97} - 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(-1\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.819527 + 1.15255i 0.579493 + 0.814977i
\(3\) 1.03943 1.38549i 0.600116 0.799913i
\(4\) −0.656749 + 1.88910i −0.328375 + 0.944548i
\(5\) 0.692094 1.19874i 0.309514 0.536094i −0.668742 0.743494i \(-0.733167\pi\)
0.978256 + 0.207401i \(0.0665004\pi\)
\(6\) 2.44869 + 0.0625523i 0.999674 + 0.0255369i
\(7\) 2.08863 1.62408i 0.789426 0.613845i
\(8\) −2.71550 + 0.791228i −0.960075 + 0.279741i
\(9\) −0.839162 2.88024i −0.279721 0.960081i
\(10\) 1.94880 0.184728i 0.616265 0.0584162i
\(11\) −3.82316 + 2.20731i −1.15273 + 0.665528i −0.949550 0.313614i \(-0.898460\pi\)
−0.203177 + 0.979142i \(0.565127\pi\)
\(12\) 1.93467 + 2.87351i 0.558492 + 0.829510i
\(13\) 6.43609i 1.78505i 0.450999 + 0.892525i \(0.351068\pi\)
−0.450999 + 0.892525i \(0.648932\pi\)
\(14\) 3.58352 + 1.07627i 0.957737 + 0.287645i
\(15\) −0.941460 2.20490i −0.243084 0.569303i
\(16\) −3.13736 2.48132i −0.784340 0.620331i
\(17\) −2.52866 + 1.45992i −0.613289 + 0.354083i −0.774252 0.632878i \(-0.781874\pi\)
0.160962 + 0.986961i \(0.448540\pi\)
\(18\) 2.63191 3.32762i 0.620348 0.784327i
\(19\) 1.58928 2.75271i 0.364606 0.631515i −0.624107 0.781339i \(-0.714537\pi\)
0.988713 + 0.149823i \(0.0478705\pi\)
\(20\) 1.81001 + 2.09470i 0.404730 + 0.468390i
\(21\) −0.0791630 4.58189i −0.0172748 0.999851i
\(22\) −5.67722 2.59745i −1.21039 0.553777i
\(23\) 1.84696 3.19902i 0.385117 0.667043i −0.606668 0.794955i \(-0.707494\pi\)
0.991785 + 0.127912i \(0.0408277\pi\)
\(24\) −1.72634 + 4.58473i −0.352388 + 0.935854i
\(25\) 1.54201 + 2.67084i 0.308402 + 0.534169i
\(26\) −7.41792 + 5.27455i −1.45477 + 1.03442i
\(27\) −4.86280 1.83117i −0.935846 0.352409i
\(28\) 1.69634 + 5.01223i 0.320578 + 0.947222i
\(29\) −6.67884 −1.24023 −0.620115 0.784511i \(-0.712914\pi\)
−0.620115 + 0.784511i \(0.712914\pi\)
\(30\) 1.76971 2.89206i 0.323103 0.528015i
\(31\) 2.17580 1.25620i 0.390786 0.225620i −0.291715 0.956505i \(-0.594226\pi\)
0.682500 + 0.730885i \(0.260893\pi\)
\(32\) 0.288700 5.64948i 0.0510355 0.998697i
\(33\) −0.915722 + 7.59130i −0.159407 + 1.32148i
\(34\) −3.75494 1.71796i −0.643966 0.294628i
\(35\) −0.501330 3.62774i −0.0847402 0.613200i
\(36\) 5.99217 + 0.306343i 0.998696 + 0.0510571i
\(37\) −5.00149 2.88761i −0.822240 0.474720i 0.0289485 0.999581i \(-0.490784\pi\)
−0.851188 + 0.524861i \(0.824117\pi\)
\(38\) 4.47510 0.424197i 0.725957 0.0688139i
\(39\) 8.91713 + 6.68987i 1.42788 + 1.07124i
\(40\) −0.930905 + 3.80279i −0.147189 + 0.601274i
\(41\) 0.497427i 0.0776850i −0.999245 0.0388425i \(-0.987633\pi\)
0.999245 0.0388425i \(-0.0123671\pi\)
\(42\) 5.21599 3.84623i 0.804845 0.593486i
\(43\) 0.865898 0.132048 0.0660241 0.997818i \(-0.478969\pi\)
0.0660241 + 0.997818i \(0.478969\pi\)
\(44\) −1.65895 8.67197i −0.250096 1.30735i
\(45\) −4.03345 0.987462i −0.601271 0.147202i
\(46\) 5.20067 0.492975i 0.766797 0.0726852i
\(47\) 1.59001 2.75398i 0.231927 0.401710i −0.726448 0.687221i \(-0.758830\pi\)
0.958375 + 0.285512i \(0.0921635\pi\)
\(48\) −6.69892 + 1.76761i −0.966906 + 0.255133i
\(49\) 1.72472 6.78420i 0.246388 0.969171i
\(50\) −1.81456 + 3.96608i −0.256618 + 0.560888i
\(51\) −0.605663 + 5.02092i −0.0848097 + 0.703069i
\(52\) −12.1584 4.22690i −1.68606 0.586165i
\(53\) 4.12906 + 7.15175i 0.567171 + 0.982368i 0.996844 + 0.0793841i \(0.0252954\pi\)
−0.429673 + 0.902984i \(0.641371\pi\)
\(54\) −1.87468 7.10532i −0.255112 0.966912i
\(55\) 6.11065i 0.823960i
\(56\) −4.38665 + 6.06278i −0.586191 + 0.810173i
\(57\) −2.16191 5.06319i −0.286351 0.670635i
\(58\) −5.47350 7.69771i −0.718705 1.01076i
\(59\) 6.62279 3.82367i 0.862214 0.497799i −0.00253919 0.999997i \(-0.500808\pi\)
0.864753 + 0.502197i \(0.167475\pi\)
\(60\) 4.78357 0.330440i 0.617556 0.0426596i
\(61\) 2.99321 + 1.72813i 0.383241 + 0.221265i 0.679228 0.733928i \(-0.262315\pi\)
−0.295986 + 0.955192i \(0.595648\pi\)
\(62\) 3.23096 + 1.47823i 0.410333 + 0.187736i
\(63\) −6.43045 4.65289i −0.810160 0.586209i
\(64\) 6.74792 4.29716i 0.843490 0.537146i
\(65\) 7.71521 + 4.45438i 0.956954 + 0.552497i
\(66\) −9.49982 + 5.16586i −1.16935 + 0.635873i
\(67\) −3.36806 5.83364i −0.411473 0.712693i 0.583578 0.812057i \(-0.301652\pi\)
−0.995051 + 0.0993644i \(0.968319\pi\)
\(68\) −1.09724 5.73567i −0.133059 0.695553i
\(69\) −2.51243 5.88411i −0.302461 0.708363i
\(70\) 3.77030 3.55084i 0.450638 0.424407i
\(71\) 1.90437 0.226007 0.113004 0.993595i \(-0.463953\pi\)
0.113004 + 0.993595i \(0.463953\pi\)
\(72\) 4.55768 + 7.15735i 0.537127 + 0.843501i
\(73\) 3.23515 + 5.60345i 0.378646 + 0.655834i 0.990866 0.134854i \(-0.0430564\pi\)
−0.612219 + 0.790688i \(0.709723\pi\)
\(74\) −0.770738 8.13095i −0.0895964 0.945204i
\(75\) 5.30324 + 0.639719i 0.612365 + 0.0738684i
\(76\) 4.15638 + 4.81014i 0.476769 + 0.551761i
\(77\) −4.40032 + 10.8194i −0.501463 + 1.23298i
\(78\) −0.402592 + 15.7600i −0.0455846 + 1.78447i
\(79\) 1.65073 + 0.953048i 0.185721 + 0.107226i 0.589978 0.807419i \(-0.299136\pi\)
−0.404257 + 0.914646i \(0.632470\pi\)
\(80\) −5.14582 + 2.04358i −0.575320 + 0.228479i
\(81\) −7.59162 + 4.83398i −0.843513 + 0.537109i
\(82\) 0.573310 0.407655i 0.0633115 0.0450179i
\(83\) 7.00064i 0.768420i 0.923246 + 0.384210i \(0.125526\pi\)
−0.923246 + 0.384210i \(0.874474\pi\)
\(84\) 8.70762 + 2.85961i 0.950079 + 0.312009i
\(85\) 4.04161i 0.438374i
\(86\) 0.709627 + 0.997992i 0.0765210 + 0.107616i
\(87\) −6.94220 + 9.25347i −0.744282 + 0.992076i
\(88\) 8.63533 9.01894i 0.920530 0.961422i
\(89\) 8.22776 + 4.75030i 0.872141 + 0.503531i 0.868059 0.496461i \(-0.165367\pi\)
0.00408165 + 0.999992i \(0.498701\pi\)
\(90\) −2.16742 5.45801i −0.228466 0.575325i
\(91\) 10.4527 + 13.4426i 1.09574 + 1.40916i
\(92\) 4.83027 + 5.59004i 0.503591 + 0.582801i
\(93\) 0.521147 4.32029i 0.0540404 0.447993i
\(94\) 4.47717 0.424393i 0.461785 0.0437728i
\(95\) −2.19986 3.81027i −0.225701 0.390926i
\(96\) −7.52721 6.27224i −0.768243 0.640158i
\(97\) 1.19214 0.121044 0.0605218 0.998167i \(-0.480724\pi\)
0.0605218 + 0.998167i \(0.480724\pi\)
\(98\) 9.23259 3.57201i 0.932632 0.360828i
\(99\) 9.56583 + 9.15936i 0.961402 + 0.920551i
\(100\) −6.05819 + 1.15893i −0.605819 + 0.115893i
\(101\) 1.03566 + 1.79382i 0.103052 + 0.178491i 0.912941 0.408092i \(-0.133806\pi\)
−0.809889 + 0.586584i \(0.800473\pi\)
\(102\) −6.28322 + 3.41672i −0.622131 + 0.338306i
\(103\) −4.80043 2.77153i −0.473000 0.273087i 0.244495 0.969651i \(-0.421378\pi\)
−0.717495 + 0.696564i \(0.754711\pi\)
\(104\) −5.09241 17.4772i −0.499352 1.71378i
\(105\) −5.54729 3.07620i −0.541361 0.300207i
\(106\) −4.85888 + 10.6200i −0.471936 + 1.03151i
\(107\) −5.17522 2.98792i −0.500308 0.288853i 0.228533 0.973536i \(-0.426607\pi\)
−0.728841 + 0.684683i \(0.759940\pi\)
\(108\) 6.65289 7.98367i 0.640175 0.768229i
\(109\) 1.43595 0.829048i 0.137539 0.0794084i −0.429651 0.902995i \(-0.641364\pi\)
0.567191 + 0.823586i \(0.308030\pi\)
\(110\) −7.04284 + 5.00785i −0.671508 + 0.477479i
\(111\) −9.19946 + 3.92803i −0.873174 + 0.372832i
\(112\) −10.5826 0.0872278i −0.999966 0.00824226i
\(113\) 16.4545i 1.54791i −0.633241 0.773955i \(-0.718276\pi\)
0.633241 0.773955i \(-0.281724\pi\)
\(114\) 4.06384 6.64113i 0.380614 0.621999i
\(115\) −2.55654 4.42805i −0.238398 0.412918i
\(116\) 4.38633 12.6170i 0.407260 1.17146i
\(117\) 18.5375 5.40092i 1.71379 0.499315i
\(118\) 9.83453 + 4.49950i 0.905342 + 0.414213i
\(119\) −2.91039 + 7.15597i −0.266795 + 0.655987i
\(120\) 4.30112 + 5.24250i 0.392636 + 0.478573i
\(121\) 4.24439 7.35150i 0.385854 0.668318i
\(122\) 0.461259 + 4.86608i 0.0417604 + 0.440554i
\(123\) −0.689179 0.517041i −0.0621412 0.0466200i
\(124\) 0.944124 + 4.93531i 0.0847849 + 0.443204i
\(125\) 11.1898 1.00085
\(126\) 0.0927622 11.2246i 0.00826392 0.999966i
\(127\) 2.31360i 0.205299i −0.994718 0.102649i \(-0.967268\pi\)
0.994718 0.102649i \(-0.0327319\pi\)
\(128\) 10.4828 + 4.25568i 0.926558 + 0.376152i
\(129\) 0.900042 1.19969i 0.0792443 0.105627i
\(130\) 1.18893 + 12.5427i 0.104276 + 1.10006i
\(131\) −4.11383 2.37512i −0.359427 0.207515i 0.309402 0.950931i \(-0.399871\pi\)
−0.668830 + 0.743416i \(0.733204\pi\)
\(132\) −13.7393 6.71547i −1.19585 0.584506i
\(133\) −1.15122 8.33050i −0.0998234 0.722346i
\(134\) 3.96336 8.66269i 0.342382 0.748342i
\(135\) −5.56061 + 4.56190i −0.478581 + 0.392626i
\(136\) 5.71145 5.96516i 0.489752 0.511508i
\(137\) −0.290760 + 0.167870i −0.0248413 + 0.0143421i −0.512369 0.858765i \(-0.671232\pi\)
0.487528 + 0.873107i \(0.337899\pi\)
\(138\) 4.72273 7.71789i 0.402026 0.656990i
\(139\) −9.35410 −0.793405 −0.396702 0.917947i \(-0.629845\pi\)
−0.396702 + 0.917947i \(0.629845\pi\)
\(140\) 7.18240 + 1.43546i 0.607023 + 0.121318i
\(141\) −2.16290 5.06553i −0.182149 0.426594i
\(142\) 1.56069 + 2.19489i 0.130970 + 0.184191i
\(143\) −14.2064 24.6062i −1.18800 2.05768i
\(144\) −4.51407 + 11.1186i −0.376172 + 0.926550i
\(145\) −4.62239 + 8.00621i −0.383868 + 0.664880i
\(146\) −3.80697 + 8.32086i −0.315067 + 0.688639i
\(147\) −7.60671 9.44129i −0.627391 0.778705i
\(148\) 8.73970 7.55185i 0.718399 0.620758i
\(149\) 1.03566 1.79382i 0.0848446 0.146955i −0.820480 0.571675i \(-0.806294\pi\)
0.905325 + 0.424720i \(0.139627\pi\)
\(150\) 3.60884 + 6.63652i 0.294661 + 0.541870i
\(151\) −20.2661 + 11.7007i −1.64923 + 0.952186i −0.671858 + 0.740680i \(0.734504\pi\)
−0.977377 + 0.211506i \(0.932163\pi\)
\(152\) −2.13767 + 8.73248i −0.173388 + 0.708298i
\(153\) 6.32688 + 6.05804i 0.511498 + 0.489763i
\(154\) −16.0761 + 3.79518i −1.29545 + 0.305824i
\(155\) 3.47763i 0.279330i
\(156\) −18.4941 + 12.4517i −1.48072 + 0.996936i
\(157\) 19.3264 11.1581i 1.54241 0.890511i 0.543725 0.839264i \(-0.317014\pi\)
0.998686 0.0512477i \(-0.0163198\pi\)
\(158\) 0.254380 + 2.68360i 0.0202374 + 0.213496i
\(159\) 14.2006 + 1.71298i 1.12618 + 0.135848i
\(160\) −6.57246 4.25605i −0.519599 0.336470i
\(161\) −1.33787 9.68118i −0.105439 0.762983i
\(162\) −11.7929 4.78815i −0.926542 0.376192i
\(163\) −8.50029 + 14.7229i −0.665794 + 1.15319i 0.313276 + 0.949662i \(0.398574\pi\)
−0.979069 + 0.203526i \(0.934760\pi\)
\(164\) 0.939686 + 0.326685i 0.0733772 + 0.0255098i
\(165\) 8.46624 + 6.35161i 0.659096 + 0.494472i
\(166\) −8.06859 + 5.73721i −0.626244 + 0.445294i
\(167\) 23.9142 1.85054 0.925269 0.379311i \(-0.123839\pi\)
0.925269 + 0.379311i \(0.123839\pi\)
\(168\) 3.84029 + 12.3795i 0.296285 + 0.955100i
\(169\) −28.4232 −2.18640
\(170\) −4.65816 + 3.31221i −0.357265 + 0.254035i
\(171\) −9.26215 2.26754i −0.708294 0.173403i
\(172\) −0.568678 + 1.63576i −0.0433613 + 0.124726i
\(173\) −4.38442 + 7.59404i −0.333341 + 0.577364i −0.983165 0.182721i \(-0.941509\pi\)
0.649824 + 0.760085i \(0.274843\pi\)
\(174\) −16.3544 0.417777i −1.23983 0.0316716i
\(175\) 7.55835 + 3.07404i 0.571358 + 0.232375i
\(176\) 17.4717 + 2.56140i 1.31698 + 0.193073i
\(177\) 1.58629 13.1503i 0.119233 0.988433i
\(178\) 1.26791 + 13.3759i 0.0950340 + 1.00257i
\(179\) −5.26665 + 3.04070i −0.393648 + 0.227273i −0.683740 0.729726i \(-0.739648\pi\)
0.290092 + 0.956999i \(0.406314\pi\)
\(180\) 4.51437 6.97105i 0.336482 0.519592i
\(181\) 11.5816i 0.860857i −0.902625 0.430429i \(-0.858362\pi\)
0.902625 0.430429i \(-0.141638\pi\)
\(182\) −6.92696 + 23.0639i −0.513460 + 1.70961i
\(183\) 5.50555 2.35079i 0.406982 0.173775i
\(184\) −2.48426 + 10.1483i −0.183142 + 0.748144i
\(185\) −6.92300 + 3.99700i −0.508989 + 0.293865i
\(186\) 5.40645 2.93994i 0.396420 0.215567i
\(187\) 6.44498 11.1630i 0.471304 0.816322i
\(188\) 4.15830 + 4.81236i 0.303275 + 0.350978i
\(189\) −13.1305 + 4.07296i −0.955106 + 0.296264i
\(190\) 2.58869 5.65807i 0.187803 0.410480i
\(191\) 0.757053 1.31125i 0.0547784 0.0948790i −0.837336 0.546689i \(-0.815888\pi\)
0.892114 + 0.451810i \(0.149221\pi\)
\(192\) 1.06033 13.8158i 0.0765224 0.997068i
\(193\) −7.97806 13.8184i −0.574273 0.994670i −0.996120 0.0880034i \(-0.971951\pi\)
0.421847 0.906667i \(-0.361382\pi\)
\(194\) 0.976993 + 1.37401i 0.0701440 + 0.0986478i
\(195\) 14.1909 6.05931i 1.01623 0.433917i
\(196\) 11.6833 + 7.71367i 0.834521 + 0.550977i
\(197\) 0.963016 0.0686121 0.0343060 0.999411i \(-0.489078\pi\)
0.0343060 + 0.999411i \(0.489078\pi\)
\(198\) −2.71717 + 18.5315i −0.193101 + 1.31697i
\(199\) 1.72593 0.996469i 0.122348 0.0706378i −0.437577 0.899181i \(-0.644163\pi\)
0.559925 + 0.828543i \(0.310830\pi\)
\(200\) −6.30058 6.03260i −0.445519 0.426569i
\(201\) −11.5833 1.39727i −0.817024 0.0985559i
\(202\) −1.21871 + 2.66373i −0.0857484 + 0.187420i
\(203\) −13.9496 + 10.8470i −0.979070 + 0.761309i
\(204\) −9.08722 4.44164i −0.636232 0.310977i
\(205\) −0.596286 0.344266i −0.0416464 0.0240446i
\(206\) −0.739754 7.80408i −0.0515411 0.543736i
\(207\) −10.7639 2.63519i −0.748141 0.183158i
\(208\) 15.9700 20.1923i 1.10732 1.40009i
\(209\) 14.0321i 0.970620i
\(210\) −1.00068 8.91458i −0.0690533 0.615164i
\(211\) 21.4567 1.47714 0.738569 0.674178i \(-0.235502\pi\)
0.738569 + 0.674178i \(0.235502\pi\)
\(212\) −16.2221 + 3.10329i −1.11414 + 0.213135i
\(213\) 1.97947 2.63849i 0.135631 0.180786i
\(214\) −0.797511 8.41339i −0.0545167 0.575128i
\(215\) 0.599283 1.03799i 0.0408707 0.0707902i
\(216\) 14.6538 + 1.12496i 0.997066 + 0.0765440i
\(217\) 2.50427 6.15741i 0.170001 0.417992i
\(218\) 2.13232 + 0.975582i 0.144419 + 0.0660747i
\(219\) 11.1262 + 1.34214i 0.751842 + 0.0906931i
\(220\) −11.5436 4.01317i −0.778269 0.270568i
\(221\) −9.39617 16.2747i −0.632055 1.09475i
\(222\) −12.0665 7.38372i −0.809849 0.495563i
\(223\) 12.1938i 0.816559i −0.912857 0.408279i \(-0.866129\pi\)
0.912857 0.408279i \(-0.133871\pi\)
\(224\) −8.57223 12.2685i −0.572757 0.819726i
\(225\) 6.39868 6.68264i 0.426579 0.445509i
\(226\) 18.9647 13.4849i 1.26151 0.897004i
\(227\) 13.5954 7.84932i 0.902360 0.520978i 0.0243951 0.999702i \(-0.492234\pi\)
0.877965 + 0.478724i \(0.158901\pi\)
\(228\) 10.9847 0.758800i 0.727478 0.0502528i
\(229\) −10.4894 6.05608i −0.693161 0.400197i 0.111634 0.993749i \(-0.464392\pi\)
−0.804795 + 0.593553i \(0.797725\pi\)
\(230\) 3.00840 6.57545i 0.198368 0.433572i
\(231\) 10.4163 + 17.3426i 0.685341 + 1.14106i
\(232\) 18.1364 5.28449i 1.19071 0.346944i
\(233\) 5.05877 + 2.92068i 0.331411 + 0.191340i 0.656468 0.754354i \(-0.272050\pi\)
−0.325056 + 0.945695i \(0.605383\pi\)
\(234\) 21.4168 + 16.9392i 1.40006 + 1.10735i
\(235\) −2.20088 3.81203i −0.143569 0.248670i
\(236\) 2.87376 + 15.0223i 0.187066 + 0.977867i
\(237\) 3.03626 1.29644i 0.197226 0.0842126i
\(238\) −10.6328 + 2.51015i −0.689220 + 0.162709i
\(239\) −22.6171 −1.46298 −0.731490 0.681852i \(-0.761175\pi\)
−0.731490 + 0.681852i \(0.761175\pi\)
\(240\) −2.51737 + 9.25363i −0.162496 + 0.597319i
\(241\) 12.7459 + 22.0766i 0.821038 + 1.42208i 0.904910 + 0.425604i \(0.139938\pi\)
−0.0838714 + 0.996477i \(0.526729\pi\)
\(242\) 11.9514 1.13288i 0.768264 0.0728242i
\(243\) −1.19354 + 15.5427i −0.0765656 + 0.997065i
\(244\) −5.23039 + 4.51951i −0.334842 + 0.289332i
\(245\) −6.93884 6.76279i −0.443306 0.432059i
\(246\) 0.0311152 1.21804i 0.00198383 0.0776596i
\(247\) 17.7167 + 10.2287i 1.12729 + 0.650839i
\(248\) −4.91446 + 5.13277i −0.312068 + 0.325931i
\(249\) 9.69931 + 7.27669i 0.614669 + 0.461141i
\(250\) 9.17036 + 12.8968i 0.579984 + 0.815667i
\(251\) 1.11008i 0.0700675i 0.999386 + 0.0350338i \(0.0111539\pi\)
−0.999386 + 0.0350338i \(0.988846\pi\)
\(252\) 13.0129 9.09195i 0.819738 0.572739i
\(253\) 16.3072i 1.02522i
\(254\) 2.66654 1.89606i 0.167314 0.118969i
\(255\) 5.59961 + 4.20098i 0.350661 + 0.263075i
\(256\) 3.68606 + 15.5696i 0.230379 + 0.973101i
\(257\) −12.0906 6.98049i −0.754188 0.435431i 0.0730169 0.997331i \(-0.476737\pi\)
−0.827205 + 0.561900i \(0.810071\pi\)
\(258\) 2.12032 + 0.0541639i 0.132005 + 0.00337210i
\(259\) −15.1360 + 2.09169i −0.940503 + 0.129971i
\(260\) −13.4817 + 11.6494i −0.836099 + 0.722462i
\(261\) 5.60463 + 19.2367i 0.346918 + 1.19072i
\(262\) −0.633949 6.68788i −0.0391655 0.413179i
\(263\) 7.08483 + 12.2713i 0.436870 + 0.756680i 0.997446 0.0714223i \(-0.0227538\pi\)
−0.560577 + 0.828103i \(0.689420\pi\)
\(264\) −3.51980 21.3387i −0.216629 1.31331i
\(265\) 11.4308 0.702189
\(266\) 8.65788 8.15392i 0.530849 0.499949i
\(267\) 15.1337 6.46186i 0.926166 0.395459i
\(268\) 13.2323 2.53134i 0.808290 0.154626i
\(269\) 9.11023 + 15.7794i 0.555461 + 0.962086i 0.997868 + 0.0652716i \(0.0207914\pi\)
−0.442407 + 0.896814i \(0.645875\pi\)
\(270\) −9.81490 2.67029i −0.597316 0.162509i
\(271\) −21.9278 12.6600i −1.33202 0.769041i −0.346410 0.938083i \(-0.612599\pi\)
−0.985609 + 0.169042i \(0.945933\pi\)
\(272\) 11.5558 + 1.69412i 0.700676 + 0.102721i
\(273\) 29.4894 0.509500i 1.78478 0.0308363i
\(274\) −0.431765 0.197542i −0.0260839 0.0119339i
\(275\) −11.7907 6.80738i −0.711008 0.410500i
\(276\) 12.7657 0.881829i 0.768403 0.0530799i
\(277\) −16.2822 + 9.40051i −0.978300 + 0.564822i −0.901756 0.432245i \(-0.857722\pi\)
−0.0765434 + 0.997066i \(0.524388\pi\)
\(278\) −7.66594 10.7811i −0.459773 0.646606i
\(279\) −5.44401 5.21269i −0.325924 0.312075i
\(280\) 4.23173 + 9.45448i 0.252894 + 0.565013i
\(281\) 25.4910i 1.52067i 0.649533 + 0.760333i \(0.274964\pi\)
−0.649533 + 0.760333i \(0.725036\pi\)
\(282\) 4.06572 6.64420i 0.242110 0.395656i
\(283\) −6.01848 10.4243i −0.357761 0.619661i 0.629825 0.776737i \(-0.283126\pi\)
−0.987586 + 0.157076i \(0.949793\pi\)
\(284\) −1.25070 + 3.59754i −0.0742151 + 0.213475i
\(285\) −7.56570 0.912634i −0.448153 0.0540598i
\(286\) 16.7174 36.5391i 0.988520 2.16060i
\(287\) −0.807861 1.03894i −0.0476865 0.0613266i
\(288\) −16.5142 + 3.90930i −0.973106 + 0.230358i
\(289\) −4.23726 + 7.33916i −0.249251 + 0.431715i
\(290\) −13.0157 + 1.23377i −0.764311 + 0.0724495i
\(291\) 1.23915 1.65170i 0.0726403 0.0968244i
\(292\) −12.7101 + 2.43145i −0.743804 + 0.142290i
\(293\) −3.90464 −0.228111 −0.114056 0.993474i \(-0.536384\pi\)
−0.114056 + 0.993474i \(0.536384\pi\)
\(294\) 4.64767 16.5045i 0.271057 0.962563i
\(295\) 10.5854i 0.616303i
\(296\) 15.8663 + 3.88400i 0.922211 + 0.225753i
\(297\) 22.6332 3.73282i 1.31331 0.216600i
\(298\) 2.91622 0.276430i 0.168932 0.0160132i
\(299\) 20.5892 + 11.8872i 1.19070 + 0.687453i
\(300\) −4.69139 + 9.59819i −0.270858 + 0.554152i
\(301\) 1.80854 1.40629i 0.104242 0.0810571i
\(302\) −30.0943 13.7688i −1.73173 0.792303i
\(303\) 3.56181 + 0.429654i 0.204621 + 0.0246830i
\(304\) −11.8165 + 4.69273i −0.677723 + 0.269147i
\(305\) 4.14317 2.39206i 0.237237 0.136969i
\(306\) −1.79715 + 12.2568i −0.102736 + 0.700674i
\(307\) −11.0339 −0.629740 −0.314870 0.949135i \(-0.601961\pi\)
−0.314870 + 0.949135i \(0.601961\pi\)
\(308\) −17.5489 15.4182i −0.999942 0.878535i
\(309\) −8.82964 + 3.77013i −0.502301 + 0.214475i
\(310\) 4.00815 2.85002i 0.227648 0.161870i
\(311\) 15.6553 + 27.1158i 0.887732 + 1.53760i 0.842550 + 0.538618i \(0.181053\pi\)
0.0451815 + 0.998979i \(0.485613\pi\)
\(312\) −29.5077 11.1109i −1.67055 0.629031i
\(313\) 6.53063 11.3114i 0.369133 0.639357i −0.620297 0.784367i \(-0.712988\pi\)
0.989430 + 0.145010i \(0.0463213\pi\)
\(314\) 28.6987 + 13.1303i 1.61956 + 0.740984i
\(315\) −10.0281 + 4.48821i −0.565019 + 0.252882i
\(316\) −2.88451 + 2.49247i −0.162267 + 0.140212i
\(317\) 12.2315 21.1856i 0.686990 1.18990i −0.285817 0.958284i \(-0.592265\pi\)
0.972807 0.231618i \(-0.0744018\pi\)
\(318\) 9.66345 + 17.7707i 0.541899 + 0.996532i
\(319\) 25.5343 14.7422i 1.42965 0.825407i
\(320\) −0.480999 11.0631i −0.0268886 0.618443i
\(321\) −9.51902 + 4.06448i −0.531300 + 0.226857i
\(322\) 10.0616 9.47596i 0.560713 0.528074i
\(323\) 9.28088i 0.516402i
\(324\) −4.14606 17.5160i −0.230337 0.973111i
\(325\) −17.1898 + 9.92452i −0.953517 + 0.550513i
\(326\) −23.9352 + 2.26883i −1.32565 + 0.125659i
\(327\) 0.343939 2.85124i 0.0190198 0.157674i
\(328\) 0.393578 + 1.35076i 0.0217317 + 0.0745834i
\(329\) −1.15175 8.33435i −0.0634981 0.459488i
\(330\) −0.382236 + 14.9631i −0.0210414 + 0.823691i
\(331\) −7.26267 + 12.5793i −0.399192 + 0.691422i −0.993626 0.112723i \(-0.964043\pi\)
0.594434 + 0.804144i \(0.297376\pi\)
\(332\) −13.2249 4.59766i −0.725809 0.252330i
\(333\) −4.11997 + 16.8287i −0.225773 + 0.922206i
\(334\) 19.5984 + 27.5624i 1.07237 + 1.50815i
\(335\) −9.32404 −0.509427
\(336\) −11.1208 + 14.5715i −0.606689 + 0.794939i
\(337\) −18.7954 −1.02385 −0.511924 0.859030i \(-0.671067\pi\)
−0.511924 + 0.859030i \(0.671067\pi\)
\(338\) −23.2936 32.7592i −1.26700 1.78187i
\(339\) −22.7975 17.1033i −1.23819 0.928926i
\(340\) −7.63498 2.65432i −0.414065 0.143951i
\(341\) −5.54563 + 9.60532i −0.300313 + 0.520157i
\(342\) −4.97712 12.5334i −0.269132 0.677729i
\(343\) −7.41581 16.9707i −0.400416 0.916334i
\(344\) −2.35135 + 0.685122i −0.126776 + 0.0369393i
\(345\) −8.79236 1.06060i −0.473365 0.0571010i
\(346\) −12.3457 + 1.17025i −0.663707 + 0.0629132i
\(347\) 20.7411 11.9749i 1.11344 0.642846i 0.173723 0.984795i \(-0.444420\pi\)
0.939719 + 0.341949i \(0.111087\pi\)
\(348\) −12.9214 19.1917i −0.692659 1.02878i
\(349\) 3.59423i 0.192395i −0.995362 0.0961974i \(-0.969332\pi\)
0.995362 0.0961974i \(-0.0306680\pi\)
\(350\) 2.65129 + 11.2306i 0.141717 + 0.600303i
\(351\) 11.7856 31.2974i 0.629067 1.67053i
\(352\) 11.3664 + 22.2362i 0.605830 + 1.18519i
\(353\) −22.4603 + 12.9675i −1.19544 + 0.690189i −0.959536 0.281587i \(-0.909139\pi\)
−0.235907 + 0.971776i \(0.575806\pi\)
\(354\) 16.4563 8.94871i 0.874645 0.475619i
\(355\) 1.31800 2.28285i 0.0699524 0.121161i
\(356\) −14.3773 + 12.4233i −0.761998 + 0.658432i
\(357\) 6.88937 + 11.4705i 0.364624 + 0.607081i
\(358\) −7.82073 3.57815i −0.413338 0.189111i
\(359\) −14.1756 + 24.5529i −0.748162 + 1.29585i 0.200541 + 0.979685i \(0.435730\pi\)
−0.948703 + 0.316169i \(0.897603\pi\)
\(360\) 11.7342 0.509922i 0.618444 0.0268752i
\(361\) 4.44838 + 7.70483i 0.234126 + 0.405517i
\(362\) 13.3484 9.49148i 0.701579 0.498861i
\(363\) −5.77367 13.5219i −0.303039 0.709718i
\(364\) −32.2591 + 10.9178i −1.69084 + 0.572248i
\(365\) 8.95612 0.468785
\(366\) 7.22135 + 4.41889i 0.377466 + 0.230979i
\(367\) −3.10999 + 1.79556i −0.162340 + 0.0937272i −0.578969 0.815349i \(-0.696545\pi\)
0.416629 + 0.909077i \(0.363211\pi\)
\(368\) −13.7324 + 5.45359i −0.715850 + 0.284288i
\(369\) −1.43271 + 0.417421i −0.0745839 + 0.0217301i
\(370\) −10.2803 4.70347i −0.534449 0.244522i
\(371\) 20.2391 + 8.23139i 1.05076 + 0.427353i
\(372\) 7.81917 + 3.82184i 0.405405 + 0.198153i
\(373\) 13.4339 + 7.75604i 0.695579 + 0.401593i 0.805699 0.592326i \(-0.201790\pi\)
−0.110120 + 0.993918i \(0.535123\pi\)
\(374\) 18.1478 1.72024i 0.938401 0.0889516i
\(375\) 11.6310 15.5034i 0.600625 0.800590i
\(376\) −2.13866 + 8.73652i −0.110293 + 0.450551i
\(377\) 42.9856i 2.21387i
\(378\) −15.4551 11.7957i −0.794926 0.606706i
\(379\) −14.5848 −0.749171 −0.374586 0.927192i \(-0.622215\pi\)
−0.374586 + 0.927192i \(0.622215\pi\)
\(380\) 8.64272 1.65335i 0.443362 0.0848152i
\(381\) −3.20547 2.40483i −0.164221 0.123203i
\(382\) 2.13171 0.202066i 0.109068 0.0103386i
\(383\) −5.47353 + 9.48043i −0.279684 + 0.484427i −0.971306 0.237832i \(-0.923563\pi\)
0.691622 + 0.722260i \(0.256896\pi\)
\(384\) 16.7924 10.1003i 0.856932 0.515430i
\(385\) 9.92420 + 12.7629i 0.505784 + 0.650456i
\(386\) 9.38818 20.5197i 0.477846 1.04442i
\(387\) −0.726628 2.49400i −0.0369366 0.126777i
\(388\) −0.782939 + 2.25207i −0.0397477 + 0.114332i
\(389\) −9.51835 16.4863i −0.482600 0.835887i 0.517201 0.855864i \(-0.326974\pi\)
−0.999800 + 0.0199769i \(0.993641\pi\)
\(390\) 18.6135 + 11.3900i 0.942532 + 0.576755i
\(391\) 10.7856i 0.545453i
\(392\) 0.684373 + 19.7872i 0.0345661 + 0.999402i
\(393\) −7.56676 + 3.23089i −0.381692 + 0.162977i
\(394\) 0.789218 + 1.10993i 0.0397602 + 0.0559172i
\(395\) 2.28492 1.31920i 0.114967 0.0663760i
\(396\) −23.5853 + 12.0554i −1.18520 + 0.605805i
\(397\) −6.49649 3.75075i −0.326050 0.188245i 0.328036 0.944665i \(-0.393613\pi\)
−0.654086 + 0.756420i \(0.726947\pi\)
\(398\) 2.56293 + 1.17259i 0.128468 + 0.0587768i
\(399\) −12.7384 7.06399i −0.637720 0.353642i
\(400\) 1.78938 12.2056i 0.0894690 0.610281i
\(401\) 24.3528 + 14.0601i 1.21612 + 0.702128i 0.964086 0.265591i \(-0.0855670\pi\)
0.252035 + 0.967718i \(0.418900\pi\)
\(402\) −7.88242 14.4955i −0.393139 0.722968i
\(403\) 8.08501 + 14.0036i 0.402743 + 0.697571i
\(404\) −4.06886 + 0.778373i −0.202433 + 0.0387255i
\(405\) 0.540584 + 12.4460i 0.0268618 + 0.618445i
\(406\) −23.9338 7.18823i −1.18781 0.356746i
\(407\) 25.4954 1.26376
\(408\) −2.32801 14.1135i −0.115254 0.698724i
\(409\) 6.57782 + 11.3931i 0.325252 + 0.563353i 0.981563 0.191137i \(-0.0612175\pi\)
−0.656311 + 0.754490i \(0.727884\pi\)
\(410\) −0.0918887 0.969386i −0.00453806 0.0478746i
\(411\) −0.0696427 + 0.577335i −0.00343522 + 0.0284778i
\(412\) 8.38836 7.24827i 0.413265 0.357096i
\(413\) 7.62258 18.7422i 0.375083 0.922242i
\(414\) −5.78409 14.5655i −0.284273 0.715856i
\(415\) 8.39196 + 4.84510i 0.411945 + 0.237837i
\(416\) 36.3606 + 1.85810i 1.78272 + 0.0911008i
\(417\) −9.72296 + 12.9600i −0.476135 + 0.634654i
\(418\) −16.1727 + 11.4997i −0.791033 + 0.562468i
\(419\) 4.42222i 0.216040i 0.994149 + 0.108020i \(0.0344510\pi\)
−0.994149 + 0.108020i \(0.965549\pi\)
\(420\) 9.45442 8.45907i 0.461329 0.412760i
\(421\) 22.2013i 1.08203i 0.841014 + 0.541014i \(0.181959\pi\)
−0.841014 + 0.541014i \(0.818041\pi\)
\(422\) 17.5843 + 24.7299i 0.855992 + 1.20383i
\(423\) −9.26642 2.26859i −0.450549 0.110303i
\(424\) −16.8712 16.1536i −0.819336 0.784487i
\(425\) −7.79844 4.50243i −0.378280 0.218400i
\(426\) 4.66322 + 0.119123i 0.225934 + 0.00577153i
\(427\) 9.05832 1.25180i 0.438363 0.0605788i
\(428\) 9.04328 7.81418i 0.437124 0.377713i
\(429\) −48.8582 5.89367i −2.35890 0.284549i
\(430\) 1.68746 0.159956i 0.0813767 0.00771375i
\(431\) −8.76759 15.1859i −0.422320 0.731479i 0.573846 0.818963i \(-0.305451\pi\)
−0.996166 + 0.0874837i \(0.972117\pi\)
\(432\) 10.7126 + 17.8112i 0.515412 + 0.856943i
\(433\) 0.852347 0.0409612 0.0204806 0.999790i \(-0.493480\pi\)
0.0204806 + 0.999790i \(0.493480\pi\)
\(434\) 9.14905 2.15987i 0.439168 0.103677i
\(435\) 6.28786 + 14.7262i 0.301480 + 0.706066i
\(436\) 0.623089 + 3.25713i 0.0298405 + 0.155988i
\(437\) −5.87066 10.1683i −0.280832 0.486415i
\(438\) 7.57138 + 13.9235i 0.361775 + 0.665290i
\(439\) 14.5943 + 8.42604i 0.696549 + 0.402153i 0.806061 0.591833i \(-0.201595\pi\)
−0.109512 + 0.993986i \(0.534929\pi\)
\(440\) −4.83492 16.5935i −0.230496 0.791064i
\(441\) −20.9875 + 0.725433i −0.999403 + 0.0345444i
\(442\) 11.0569 24.1671i 0.525925 1.14951i
\(443\) −24.9578 14.4094i −1.18578 0.684611i −0.228436 0.973559i \(-0.573361\pi\)
−0.957345 + 0.288948i \(0.906695\pi\)
\(444\) −1.37869 19.9584i −0.0654297 0.947183i
\(445\) 11.3888 6.57531i 0.539879 0.311699i
\(446\) 14.0540 9.99317i 0.665477 0.473190i
\(447\) −1.40881 3.29945i −0.0666347 0.156058i
\(448\) 7.11493 19.9343i 0.336149 0.941809i
\(449\) 1.27217i 0.0600373i 0.999549 + 0.0300186i \(0.00955666\pi\)
−0.999549 + 0.0300186i \(0.990443\pi\)
\(450\) 12.9460 + 1.89820i 0.610279 + 0.0894822i
\(451\) 1.09797 + 1.90174i 0.0517015 + 0.0895496i
\(452\) 31.0841 + 10.8065i 1.46207 + 0.508294i
\(453\) −4.85413 + 40.2406i −0.228067 + 1.89067i
\(454\) 20.1886 + 9.23669i 0.947497 + 0.433499i
\(455\) 23.3485 3.22660i 1.09459 0.151265i
\(456\) 9.87680 + 12.0385i 0.462523 + 0.563756i
\(457\) 7.46471 12.9293i 0.349185 0.604805i −0.636920 0.770930i \(-0.719792\pi\)
0.986105 + 0.166124i \(0.0531253\pi\)
\(458\) −1.61644 17.0527i −0.0755312 0.796822i
\(459\) 14.9697 2.46890i 0.698726 0.115239i
\(460\) 10.0440 1.92142i 0.468305 0.0895867i
\(461\) −27.1371 −1.26390 −0.631950 0.775009i \(-0.717745\pi\)
−0.631950 + 0.775009i \(0.717745\pi\)
\(462\) −11.4518 + 26.2180i −0.532786 + 1.21977i
\(463\) 24.3062i 1.12960i 0.825227 + 0.564801i \(0.191047\pi\)
−0.825227 + 0.564801i \(0.808953\pi\)
\(464\) 20.9539 + 16.5724i 0.972762 + 0.769353i
\(465\) −4.81822 3.61476i −0.223440 0.167631i
\(466\) 0.779565 + 8.22408i 0.0361127 + 0.380973i
\(467\) −22.2686 12.8568i −1.03047 0.594940i −0.113349 0.993555i \(-0.536158\pi\)
−0.917118 + 0.398615i \(0.869491\pi\)
\(468\) −1.97165 + 38.5661i −0.0911395 + 1.78272i
\(469\) −16.5089 6.71430i −0.762311 0.310038i
\(470\) 2.58988 5.66069i 0.119462 0.261108i
\(471\) 4.62904 38.3745i 0.213295 1.76820i
\(472\) −14.9588 + 15.6233i −0.688535 + 0.719122i
\(473\) −3.31047 + 1.91130i −0.152216 + 0.0878817i
\(474\) 3.98251 + 2.43698i 0.182923 + 0.111934i
\(475\) 9.80275 0.449781
\(476\) −11.6069 10.1977i −0.532002 0.467410i
\(477\) 17.1338 17.8942i 0.784504 0.819319i
\(478\) −18.5353 26.0674i −0.847787 1.19229i
\(479\) 4.48448 + 7.76735i 0.204901 + 0.354899i 0.950101 0.311942i \(-0.100979\pi\)
−0.745200 + 0.666841i \(0.767646\pi\)
\(480\) −12.7283 + 4.68220i −0.580967 + 0.213712i
\(481\) 18.5849 32.1900i 0.847399 1.46774i
\(482\) −14.9988 + 32.7828i −0.683176 + 1.49321i
\(483\) −14.8038 8.20932i −0.673596 0.373537i
\(484\) 11.1002 + 12.8462i 0.504554 + 0.583916i
\(485\) 0.825074 1.42907i 0.0374647 0.0648908i
\(486\) −18.8919 + 11.3621i −0.856954 + 0.515393i
\(487\) −5.02256 + 2.89978i −0.227594 + 0.131401i −0.609462 0.792816i \(-0.708614\pi\)
0.381868 + 0.924217i \(0.375281\pi\)
\(488\) −9.49542 2.32443i −0.429837 0.105222i
\(489\) 11.5630 + 27.0805i 0.522896 + 1.22462i
\(490\) 2.10790 13.5397i 0.0952252 0.611660i
\(491\) 13.5893i 0.613275i −0.951826 0.306637i \(-0.900796\pi\)
0.951826 0.306637i \(-0.0992039\pi\)
\(492\) 1.42936 0.962359i 0.0644404 0.0433865i
\(493\) 16.8885 9.75058i 0.760620 0.439144i
\(494\) 2.73017 + 28.8021i 0.122836 + 1.29587i
\(495\) 17.6002 5.12782i 0.791069 0.230479i
\(496\) −9.94331 1.45772i −0.446468 0.0654535i
\(497\) 3.97752 3.09286i 0.178416 0.138734i
\(498\) −0.437906 + 17.1424i −0.0196230 + 0.768169i
\(499\) 18.6144 32.2411i 0.833294 1.44331i −0.0621178 0.998069i \(-0.519785\pi\)
0.895412 0.445239i \(-0.146881\pi\)
\(500\) −7.34890 + 21.1386i −0.328653 + 0.945348i
\(501\) 24.8572 33.1329i 1.11054 1.48027i
\(502\) −1.27942 + 0.909740i −0.0571034 + 0.0406037i
\(503\) −24.5224 −1.09340 −0.546699 0.837329i \(-0.684116\pi\)
−0.546699 + 0.837329i \(0.684116\pi\)
\(504\) 21.1434 + 7.54698i 0.941802 + 0.336169i
\(505\) 2.86710 0.127584
\(506\) −18.7949 + 13.3642i −0.835534 + 0.594111i
\(507\) −29.5440 + 39.3800i −1.31209 + 1.74893i
\(508\) 4.37061 + 1.51945i 0.193914 + 0.0674149i
\(509\) 21.4381 37.1319i 0.950226 1.64584i 0.205294 0.978700i \(-0.434185\pi\)
0.744932 0.667140i \(-0.232482\pi\)
\(510\) −0.252812 + 9.89665i −0.0111947 + 0.438231i
\(511\) 15.8575 + 6.44936i 0.701494 + 0.285303i
\(512\) −14.9240 + 17.0081i −0.659552 + 0.751659i
\(513\) −12.7690 + 10.4756i −0.563766 + 0.462511i
\(514\) −1.86317 19.6557i −0.0821811 0.866975i
\(515\) −6.64470 + 3.83632i −0.292800 + 0.169048i
\(516\) 1.67523 + 2.48816i 0.0737479 + 0.109535i
\(517\) 14.0386i 0.617416i
\(518\) −14.8151 15.7308i −0.650939 0.691170i
\(519\) 5.96415 + 13.9681i 0.261797 + 0.613129i
\(520\) −24.4751 5.99139i −1.07330 0.262740i
\(521\) 1.58214 0.913450i 0.0693149 0.0400190i −0.464942 0.885341i \(-0.653925\pi\)
0.534257 + 0.845322i \(0.320591\pi\)
\(522\) −17.5781 + 22.2246i −0.769374 + 0.972746i
\(523\) 12.7145 22.0222i 0.555966 0.962962i −0.441861 0.897083i \(-0.645682\pi\)
0.997828 0.0658788i \(-0.0209851\pi\)
\(524\) 7.18859 6.21156i 0.314035 0.271353i
\(525\) 12.1154 7.27676i 0.528761 0.317584i
\(526\) −8.33708 + 18.2223i −0.363514 + 0.794530i
\(527\) −3.66790 + 6.35300i −0.159776 + 0.276741i
\(528\) 21.7094 21.5444i 0.944781 0.937601i
\(529\) 4.67750 + 8.10166i 0.203369 + 0.352246i
\(530\) 9.36786 + 13.1746i 0.406914 + 0.572268i
\(531\) −16.5707 15.8666i −0.719107 0.688551i
\(532\) 16.4932 + 3.29629i 0.715070 + 0.142912i
\(533\) 3.20148 0.138671
\(534\) 19.8501 + 12.1467i 0.858998 + 0.525638i
\(535\) −7.16348 + 4.13584i −0.309704 + 0.178808i
\(536\) 13.7617 + 13.1764i 0.594415 + 0.569133i
\(537\) −1.26147 + 10.4575i −0.0544362 + 0.451274i
\(538\) −10.7205 + 23.4317i −0.462192 + 1.01021i
\(539\) 8.38092 + 29.7441i 0.360992 + 1.28117i
\(540\) −4.96593 13.5006i −0.213700 0.580971i
\(541\) 16.3531 + 9.44148i 0.703076 + 0.405921i 0.808492 0.588507i \(-0.200284\pi\)
−0.105416 + 0.994428i \(0.533618\pi\)
\(542\) −3.37911 35.6481i −0.145145 1.53122i
\(543\) −16.0463 12.0383i −0.688611 0.516615i
\(544\) 7.51777 + 14.7071i 0.322322 + 0.630561i
\(545\) 2.29512i 0.0983119i
\(546\) 24.7546 + 33.5706i 1.05940 + 1.43669i
\(547\) 13.0624 0.558509 0.279254 0.960217i \(-0.409913\pi\)
0.279254 + 0.960217i \(0.409913\pi\)
\(548\) −0.126167 0.659522i −0.00538957 0.0281734i
\(549\) 2.46565 10.0714i 0.105231 0.429835i
\(550\) −1.81697 19.1683i −0.0774759 0.817337i
\(551\) −10.6145 + 18.3849i −0.452195 + 0.783224i
\(552\) 11.4782 + 13.9904i 0.488544 + 0.595472i
\(553\) 4.99558 0.690356i 0.212434 0.0293569i
\(554\) −24.1782 11.0620i −1.02723 0.469981i
\(555\) −1.65819 + 13.7464i −0.0703864 + 0.583500i
\(556\) 6.14330 17.6708i 0.260534 0.749408i
\(557\) 15.9928 + 27.7003i 0.677635 + 1.17370i 0.975691 + 0.219151i \(0.0703286\pi\)
−0.298056 + 0.954549i \(0.596338\pi\)
\(558\) 1.54637 10.5464i 0.0654631 0.446467i
\(559\) 5.57299i 0.235712i
\(560\) −7.42875 + 12.6255i −0.313922 + 0.533524i
\(561\) −8.76714 20.5327i −0.370149 0.866890i
\(562\) −29.3797 + 20.8906i −1.23931 + 0.881216i
\(563\) 31.2546 18.0449i 1.31723 0.760501i 0.333944 0.942593i \(-0.391620\pi\)
0.983281 + 0.182092i \(0.0582870\pi\)
\(564\) 10.9897 0.759151i 0.462752 0.0319660i
\(565\) −19.7247 11.3881i −0.829825 0.479100i
\(566\) 7.08224 15.4796i 0.297689 0.650656i
\(567\) −8.00527 + 22.4258i −0.336190 + 0.941794i
\(568\) −5.17133 + 1.50679i −0.216984 + 0.0632236i
\(569\) −23.5336 13.5871i −0.986579 0.569601i −0.0823288 0.996605i \(-0.526236\pi\)
−0.904250 + 0.427004i \(0.859569\pi\)
\(570\) −5.14844 9.46778i −0.215644 0.396562i
\(571\) −7.45448 12.9115i −0.311960 0.540331i 0.666826 0.745213i \(-0.267652\pi\)
−0.978787 + 0.204882i \(0.934319\pi\)
\(572\) 55.8135 10.6771i 2.33368 0.446433i
\(573\) −1.02982 2.41185i −0.0430215 0.100756i
\(574\) 0.535365 1.78254i 0.0223457 0.0744018i
\(575\) 11.3921 0.475084
\(576\) −18.0395 15.8296i −0.751645 0.659568i
\(577\) −19.1659 33.1963i −0.797886 1.38198i −0.920990 0.389585i \(-0.872618\pi\)
0.123104 0.992394i \(-0.460715\pi\)
\(578\) −11.9313 + 1.13098i −0.496277 + 0.0470424i
\(579\) −27.4379 3.30978i −1.14028 0.137550i
\(580\) −12.0887 13.9902i −0.501958 0.580912i
\(581\) 11.3696 + 14.6217i 0.471691 + 0.606611i
\(582\) 2.91919 + 0.0745713i 0.121004 + 0.00309108i
\(583\) −31.5722 18.2282i −1.30759 0.754935i
\(584\) −13.2187 12.6564i −0.546993 0.523727i
\(585\) 6.35539 25.9596i 0.262763 1.07330i
\(586\) −3.19996 4.50029i −0.132189 0.185905i
\(587\) 0.964880i 0.0398249i 0.999802 + 0.0199124i \(0.00633874\pi\)
−0.999802 + 0.0199124i \(0.993661\pi\)
\(588\) 22.8312 8.16923i 0.941543 0.336894i
\(589\) 7.98581i 0.329050i
\(590\) 12.2002 8.67499i 0.502273 0.357144i
\(591\) 1.00099 1.33425i 0.0411752 0.0548837i
\(592\) 8.52637 + 21.4698i 0.350432 + 0.882403i
\(593\) −14.9519 8.63251i −0.614003 0.354495i 0.160528 0.987031i \(-0.448680\pi\)
−0.774530 + 0.632537i \(0.782014\pi\)
\(594\) 22.8508 + 23.0268i 0.937581 + 0.944802i
\(595\) 6.56390 + 8.44141i 0.269094 + 0.346064i
\(596\) 2.70852 + 3.13455i 0.110945 + 0.128396i
\(597\) 0.413395 3.42702i 0.0169191 0.140259i
\(598\) 3.17283 + 33.4720i 0.129747 + 1.36877i
\(599\) −6.22127 10.7756i −0.254194 0.440277i 0.710482 0.703715i \(-0.248477\pi\)
−0.964676 + 0.263438i \(0.915144\pi\)
\(600\) −14.9071 + 2.45891i −0.608581 + 0.100385i
\(601\) −27.7052 −1.13012 −0.565059 0.825051i \(-0.691147\pi\)
−0.565059 + 0.825051i \(0.691147\pi\)
\(602\) 3.10297 + 0.931939i 0.126467 + 0.0379830i
\(603\) −13.9760 + 14.5962i −0.569146 + 0.594403i
\(604\) −8.79389 45.9691i −0.357818 1.87045i
\(605\) −5.87504 10.1759i −0.238854 0.413708i
\(606\) 2.42380 + 4.45729i 0.0984603 + 0.181065i
\(607\) −5.43950 3.14050i −0.220783 0.127469i 0.385530 0.922695i \(-0.374019\pi\)
−0.606313 + 0.795226i \(0.707352\pi\)
\(608\) −15.0926 9.77331i −0.612085 0.396360i
\(609\) 0.528717 + 30.6017i 0.0214247 + 1.24004i
\(610\) 6.15241 + 2.81486i 0.249104 + 0.113970i
\(611\) 17.7249 + 10.2335i 0.717072 + 0.414002i
\(612\) −15.5994 + 7.97346i −0.630568 + 0.322308i
\(613\) 17.0190 9.82590i 0.687389 0.396864i −0.115244 0.993337i \(-0.536765\pi\)
0.802633 + 0.596473i \(0.203432\pi\)
\(614\) −9.04262 12.7172i −0.364930 0.513224i
\(615\) −1.09678 + 0.468307i −0.0442263 + 0.0188840i
\(616\) 3.38849 32.8617i 0.136526 1.32403i
\(617\) 32.2579i 1.29865i 0.760509 + 0.649327i \(0.224949\pi\)
−0.760509 + 0.649327i \(0.775051\pi\)
\(618\) −11.5814 7.08689i −0.465872 0.285077i
\(619\) 13.3846 + 23.1828i 0.537973 + 0.931797i 0.999013 + 0.0444173i \(0.0141431\pi\)
−0.461040 + 0.887379i \(0.652524\pi\)
\(620\) 6.56958 + 2.28393i 0.263841 + 0.0917250i
\(621\) −14.8393 + 12.1741i −0.595482 + 0.488531i
\(622\) −18.4224 + 40.2657i −0.738671 + 1.61451i
\(623\) 24.8996 3.44096i 0.997581 0.137859i
\(624\) −11.3765 43.1148i −0.455424 1.72597i
\(625\) 0.0343418 0.0594818i 0.00137367 0.00237927i
\(626\) 18.3890 1.74310i 0.734972 0.0696684i
\(627\) 19.4413 + 14.5854i 0.776411 + 0.582485i
\(628\) 8.38609 + 43.8374i 0.334642 + 1.74930i
\(629\) 16.8627 0.672361
\(630\) −13.3912 7.87967i −0.533518 0.313934i
\(631\) 29.4363i 1.17184i 0.810369 + 0.585920i \(0.199267\pi\)
−0.810369 + 0.585920i \(0.800733\pi\)
\(632\) −5.23663 1.28190i −0.208302 0.0509914i
\(633\) 22.3027 29.7280i 0.886455 1.18158i
\(634\) 34.4416 3.26474i 1.36785 0.129659i
\(635\) −2.77341 1.60123i −0.110059 0.0635428i
\(636\) −12.5622 + 25.7012i −0.498123 + 1.01912i
\(637\) 43.6637 + 11.1004i 1.73002 + 0.439815i
\(638\) 37.9173 + 17.3479i 1.50116 + 0.686811i
\(639\) −1.59808 5.48506i −0.0632189 0.216986i
\(640\) 12.3565 9.62085i 0.488435 0.380298i
\(641\) 34.2214 19.7578i 1.35167 0.780384i 0.363183 0.931718i \(-0.381690\pi\)
0.988483 + 0.151334i \(0.0483568\pi\)
\(642\) −12.4856 7.64021i −0.492768 0.301535i
\(643\) 17.3857 0.685626 0.342813 0.939404i \(-0.388620\pi\)
0.342813 + 0.939404i \(0.388620\pi\)
\(644\) 19.1673 + 3.83074i 0.755298 + 0.150952i
\(645\) −0.815208 1.90922i −0.0320988 0.0751754i
\(646\) −10.6967 + 7.60594i −0.420856 + 0.299252i
\(647\) −23.6414 40.9480i −0.929438 1.60983i −0.784264 0.620427i \(-0.786959\pi\)
−0.145174 0.989406i \(-0.546374\pi\)
\(648\) 16.7903 19.1334i 0.659584 0.751631i
\(649\) −16.8800 + 29.2370i −0.662598 + 1.14765i
\(650\) −25.5260 11.6787i −1.00121 0.458075i
\(651\) −5.92802 9.86985i −0.232337 0.386830i
\(652\) −22.2305 25.7271i −0.870612 1.00755i
\(653\) −14.1939 + 24.5845i −0.555449 + 0.962067i 0.442419 + 0.896808i \(0.354120\pi\)
−0.997868 + 0.0652581i \(0.979213\pi\)
\(654\) 3.56806 1.94026i 0.139522 0.0758701i
\(655\) −5.69432 + 3.28762i −0.222495 + 0.128458i
\(656\) −1.23428 + 1.56061i −0.0481904 + 0.0609314i
\(657\) 13.4245 14.0202i 0.523739 0.546981i
\(658\) 8.66188 8.15769i 0.337675 0.318020i
\(659\) 3.58703i 0.139731i −0.997556 0.0698654i \(-0.977743\pi\)
0.997556 0.0698654i \(-0.0222570\pi\)
\(660\) −17.5590 + 11.8221i −0.683483 + 0.460175i
\(661\) 1.09189 0.630403i 0.0424696 0.0245198i −0.478615 0.878025i \(-0.658861\pi\)
0.521084 + 0.853505i \(0.325528\pi\)
\(662\) −20.4503 + 1.93849i −0.794822 + 0.0753417i
\(663\) −32.3150 3.89810i −1.25501 0.151390i
\(664\) −5.53910 19.0103i −0.214959 0.737741i
\(665\) −10.7829 4.38548i −0.418142 0.170062i
\(666\) −22.7723 + 9.04309i −0.882411 + 0.350413i
\(667\) −12.3355 + 21.3658i −0.477634 + 0.827286i
\(668\) −15.7057 + 45.1762i −0.607670 + 1.74792i
\(669\) −16.8944 12.6747i −0.653176 0.490030i
\(670\) −7.64131 10.7464i −0.295210 0.415171i
\(671\) −15.2581 −0.589031
\(672\) −25.9082 0.875563i −0.999429 0.0337756i
\(673\) 34.9662 1.34785 0.673925 0.738800i \(-0.264607\pi\)
0.673925 + 0.738800i \(0.264607\pi\)
\(674\) −15.4033 21.6626i −0.593314 0.834413i
\(675\) −2.60773 15.8115i −0.100372 0.608583i
\(676\) 18.6669 53.6941i 0.717958 2.06516i
\(677\) −2.84885 + 4.93435i −0.109490 + 0.189642i −0.915564 0.402173i \(-0.868255\pi\)
0.806074 + 0.591815i \(0.201588\pi\)
\(678\) 1.02927 40.2920i 0.0395288 1.54741i
\(679\) 2.48994 1.93614i 0.0955551 0.0743021i
\(680\) −3.19783 10.9750i −0.122631 0.420872i
\(681\) 3.25637 26.9952i 0.124784 1.03446i
\(682\) −15.6154 + 1.48020i −0.597945 + 0.0566796i
\(683\) −19.9548 + 11.5209i −0.763551 + 0.440836i −0.830569 0.556915i \(-0.811985\pi\)
0.0670183 + 0.997752i \(0.478651\pi\)
\(684\) 10.3665 16.0079i 0.396373 0.612076i
\(685\) 0.464729i 0.0177564i
\(686\) 13.4822 22.4551i 0.514752 0.857339i
\(687\) −19.2937 + 8.23812i −0.736100 + 0.314304i
\(688\) −2.71663 2.14857i −0.103571 0.0819136i
\(689\) −46.0293 + 26.5750i −1.75358 + 1.01243i
\(690\) −5.98318 11.0028i −0.227776 0.418871i
\(691\) −18.0614 + 31.2833i −0.687090 + 1.19007i 0.285686 + 0.958323i \(0.407779\pi\)
−0.972775 + 0.231751i \(0.925555\pi\)
\(692\) −11.4664 13.2700i −0.435887 0.504448i
\(693\) 34.8550 + 3.59479i 1.32403 + 0.136555i
\(694\) 30.7996 + 14.0915i 1.16914 + 0.534904i
\(695\) −6.47392 + 11.2132i −0.245570 + 0.425339i
\(696\) 11.5300 30.6207i 0.437043 1.16067i
\(697\) 0.726203 + 1.25782i 0.0275069 + 0.0476434i
\(698\) 4.14254 2.94557i 0.156797 0.111492i
\(699\) 9.30483 3.97302i 0.351941 0.150274i
\(700\) −10.7711 + 12.2596i −0.407109 + 0.463368i
\(701\) 29.8672 1.12807 0.564035 0.825751i \(-0.309248\pi\)
0.564035 + 0.825751i \(0.309248\pi\)
\(702\) 45.7304 12.0656i 1.72598 0.455387i
\(703\) −15.8975 + 9.17844i −0.599586 + 0.346171i
\(704\) −16.3132 + 31.3235i −0.614829 + 1.18055i
\(705\) −7.56919 0.913056i −0.285072 0.0343877i
\(706\) −33.3525 15.2595i −1.25524 0.574298i
\(707\) 5.07641 + 2.06461i 0.190918 + 0.0776478i
\(708\) 23.8003 + 11.6331i 0.894469 + 0.437197i
\(709\) −42.5302 24.5548i −1.59725 0.922175i −0.992013 0.126132i \(-0.959744\pi\)
−0.605240 0.796043i \(-0.706923\pi\)
\(710\) 3.71124 0.351791i 0.139281 0.0132025i
\(711\) 1.35978 5.55426i 0.0509959 0.208301i
\(712\) −26.1011 6.38942i −0.978179 0.239454i
\(713\) 9.28059i 0.347561i
\(714\) −7.57426 + 17.3407i −0.283460 + 0.648960i
\(715\) −39.3287 −1.47081
\(716\) −2.28531 11.9462i −0.0854059 0.446450i
\(717\) −23.5090 + 31.3358i −0.877958 + 1.17026i
\(718\) −39.9158 + 3.78365i −1.48965 + 0.141204i
\(719\) −8.31324 + 14.3990i −0.310032 + 0.536991i −0.978369 0.206868i \(-0.933673\pi\)
0.668337 + 0.743858i \(0.267006\pi\)
\(720\) 10.2042 + 13.1063i 0.380287 + 0.488444i
\(721\) −14.5275 + 2.00760i −0.541032 + 0.0747670i
\(722\) −5.23464 + 11.4413i −0.194813 + 0.425801i
\(723\) 43.8355 + 5.28778i 1.63026 + 0.196655i
\(724\) 21.8788 + 7.60624i 0.813121 + 0.282684i
\(725\) −10.2989 17.8381i −0.382490 0.662492i
\(726\) 10.8531 17.7361i 0.402795 0.658247i
\(727\) 6.37182i 0.236318i 0.992995 + 0.118159i \(0.0376992\pi\)
−0.992995 + 0.118159i \(0.962301\pi\)
\(728\) −39.0206 28.2329i −1.44620 1.04638i
\(729\) 20.2936 + 17.8092i 0.751616 + 0.659601i
\(730\) 7.33979 + 10.3224i 0.271658 + 0.382049i
\(731\) −2.18956 + 1.26414i −0.0809837 + 0.0467560i
\(732\) 0.825095 + 11.9444i 0.0304964 + 0.441477i
\(733\) 33.2648 + 19.2054i 1.22866 + 0.709369i 0.966750 0.255723i \(-0.0823135\pi\)
0.261912 + 0.965092i \(0.415647\pi\)
\(734\) −4.61819 2.11292i −0.170461 0.0779893i
\(735\) −16.5822 + 2.58422i −0.611645 + 0.0953204i
\(736\) −17.5396 11.3579i −0.646519 0.418658i
\(737\) 25.7533 + 14.8687i 0.948634 + 0.547694i
\(738\) −1.65524 1.30918i −0.0609304 0.0481917i
\(739\) 0.546366 + 0.946333i 0.0200984 + 0.0348114i 0.875900 0.482493i \(-0.160269\pi\)
−0.855801 + 0.517305i \(0.826935\pi\)
\(740\) −3.00403 15.7032i −0.110430 0.577262i
\(741\) 32.5871 13.9142i 1.19712 0.511151i
\(742\) 7.09940 + 30.0725i 0.260627 + 1.10399i
\(743\) −26.5914 −0.975545 −0.487772 0.872971i \(-0.662190\pi\)
−0.487772 + 0.872971i \(0.662190\pi\)
\(744\) 2.00315 + 12.1441i 0.0734392 + 0.445224i
\(745\) −1.43355 2.48298i −0.0525212 0.0909693i
\(746\) 2.07018 + 21.8395i 0.0757947 + 0.799601i
\(747\) 20.1635 5.87467i 0.737746 0.214943i
\(748\) 16.8553 + 19.5065i 0.616291 + 0.713228i
\(749\) −15.6617 + 2.16435i −0.572267 + 0.0790835i
\(750\) 27.4004 + 0.699949i 1.00052 + 0.0255585i
\(751\) −24.4781 14.1324i −0.893217 0.515699i −0.0182235 0.999834i \(-0.505801\pi\)
−0.874993 + 0.484135i \(0.839134\pi\)
\(752\) −11.8220 + 4.69490i −0.431103 + 0.171205i
\(753\) 1.53800 + 1.15385i 0.0560479 + 0.0420487i
\(754\) 49.5431 35.2279i 1.80425 1.28292i
\(755\) 32.3918i 1.17886i
\(756\) 0.929270 27.4797i 0.0337972 0.999429i
\(757\) 26.8780i 0.976898i −0.872592 0.488449i \(-0.837563\pi\)
0.872592 0.488449i \(-0.162437\pi\)
\(758\) −11.9526 16.8097i −0.434140 0.610557i
\(759\) 22.5934 + 16.9502i 0.820090 + 0.615254i
\(760\) 8.98852 + 8.60621i 0.326048 + 0.312180i
\(761\) 46.8523 + 27.0502i 1.69840 + 0.980569i 0.947285 + 0.320393i \(0.103815\pi\)
0.751111 + 0.660176i \(0.229518\pi\)
\(762\) 0.144721 5.66529i 0.00524269 0.205232i
\(763\) 1.65273 4.06367i 0.0598327 0.147115i
\(764\) 1.97989 + 2.29131i 0.0716299 + 0.0828967i
\(765\) 11.6408 3.39156i 0.420875 0.122622i
\(766\) −15.4124 + 1.46095i −0.556872 + 0.0527863i
\(767\) 24.6095 + 42.6248i 0.888596 + 1.53909i
\(768\) 25.4029 + 11.0766i 0.916650 + 0.399691i
\(769\) −9.44304 −0.340525 −0.170262 0.985399i \(-0.554462\pi\)
−0.170262 + 0.985399i \(0.554462\pi\)
\(770\) −6.57670 + 21.8977i −0.237008 + 0.789137i
\(771\) −22.2387 + 9.49560i −0.800907 + 0.341976i
\(772\) 31.3439 5.99608i 1.12809 0.215804i
\(773\) 18.7073 + 32.4020i 0.672856 +