Properties

Label 168.2.v.a.11.1
Level $168$
Weight $2$
Character 168.11
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 11.1
Character \(\chi\) \(=\) 168.11
Dual form 168.2.v.a.107.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.40790 + 0.133456i) q^{2} +(-1.71959 - 0.207430i) q^{3} +(1.96438 - 0.375786i) q^{4} +(0.692094 + 1.19874i) q^{5} +(2.44869 + 0.0625523i) q^{6} +(-2.08863 - 1.62408i) q^{7} +(-2.71550 + 0.791228i) q^{8} +(2.91395 + 0.713387i) q^{9} +O(q^{10})\) \(q+(-1.40790 + 0.133456i) q^{2} +(-1.71959 - 0.207430i) q^{3} +(1.96438 - 0.375786i) 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} +(2.91395 + 0.713387i) q^{9} +(-1.13438 - 1.59535i) q^{10} +(3.82316 + 2.20731i) q^{11} +(-3.45587 + 0.238725i) q^{12} +6.43609i q^{13} +(3.15733 + 2.00781i) q^{14} +(-0.941460 - 2.20490i) q^{15} +(3.71757 - 1.47637i) q^{16} +(2.52866 + 1.45992i) q^{17} +(-4.19776 - 0.615496i) q^{18} +(1.58928 + 2.75271i) q^{19} +(1.81001 + 2.09470i) q^{20} +(3.25469 + 3.22599i) q^{21} +(-5.67722 - 2.59745i) q^{22} +(1.84696 + 3.19902i) q^{23} +(4.83366 - 0.797307i) q^{24} +(1.54201 - 2.67084i) q^{25} +(-0.858934 - 9.06138i) q^{26} +(-4.86280 - 1.83117i) q^{27} +(-4.71316 - 2.40544i) q^{28} -6.67884 q^{29} +(1.61974 + 2.97864i) q^{30} +(-2.17580 - 1.25620i) q^{31} +(-5.03695 + 2.57472i) q^{32} +(-6.11640 - 4.58869i) 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} +(-2.60492 - 3.66345i) q^{38} +(1.33504 - 11.0674i) q^{39} +(-2.82786 - 2.70758i) q^{40} -0.497427i q^{41} +(-5.01281 - 4.10752i) q^{42} +0.865898 q^{43} +(8.33962 + 2.89929i) q^{44} +(1.16156 + 3.98680i) q^{45} +(-3.02726 - 4.25743i) 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} +(-4.04541 - 3.03498i) q^{51} +(2.41859 + 12.6429i) q^{52} +(4.12906 - 7.15175i) q^{53} +(7.09073 + 1.92914i) q^{54} +6.11065i q^{55} +(6.95669 + 2.75762i) q^{56} +(-2.16191 - 5.06319i) q^{57} +(9.40316 - 0.891331i) q^{58} +(-6.62279 - 3.82367i) q^{59} +(-2.67795 - 3.97747i) q^{60} +(-2.99321 + 1.72813i) q^{61} +(3.23096 + 1.47823i) q^{62} +(-4.92754 - 6.22248i) q^{63} +(6.74792 - 4.29716i) q^{64} +(-7.71521 + 4.45438i) q^{65} +(9.22368 + 5.64416i) q^{66} +(-3.36806 + 5.83364i) q^{67} +(5.51586 + 1.91760i) q^{68} +(-2.51243 - 5.88411i) q^{69} +(-0.221680 + 5.17441i) q^{70} +1.90437 q^{71} +(-8.47728 + 0.368391i) q^{72} +(3.23515 - 5.60345i) q^{73} +(-6.65624 + 4.73295i) q^{74} +(-3.20563 + 4.27288i) 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} +(4.34270 + 3.43462i) q^{80} +(7.98216 + 4.15754i) q^{81} +(0.0663845 + 0.700328i) q^{82} +7.00064i q^{83} +(7.60572 + 5.11400i) q^{84} +4.04161i q^{85} +(-1.21910 + 0.115559i) q^{86} +(11.4848 + 1.38539i) q^{87} +(-12.1283 - 2.96895i) 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} +(3.48090 + 2.61147i) q^{93} +(-2.60612 - 3.66514i) q^{94} +(-2.19986 + 3.81027i) q^{95} +(9.19553 - 3.38264i) q^{96} +1.19214 q^{97} +(-3.33362 - 9.32132i) 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 \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.40790 + 0.133456i −0.995537 + 0.0943676i
\(3\) −1.71959 0.207430i −0.992803 0.119760i
\(4\) 1.96438 0.375786i 0.982190 0.187893i
\(5\) 0.692094 + 1.19874i 0.309514 + 0.536094i 0.978256 0.207401i \(-0.0665004\pi\)
−0.668742 + 0.743494i \(0.733167\pi\)
\(6\) 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
\(9\) 2.91395 + 0.713387i 0.971315 + 0.237796i
\(10\) −1.13438 1.59535i −0.358723 0.504493i
\(11\) 3.82316 + 2.20731i 1.15273 + 0.665528i 0.949550 0.313614i \(-0.101540\pi\)
0.203177 + 0.979142i \(0.434873\pi\)
\(12\) −3.45587 + 0.238725i −0.997623 + 0.0689139i
\(13\) 6.43609i 1.78505i 0.450999 + 0.892525i \(0.351068\pi\)
−0.450999 + 0.892525i \(0.648932\pi\)
\(14\) 3.15733 + 2.00781i 0.843831 + 0.536610i
\(15\) −0.941460 2.20490i −0.243084 0.569303i
\(16\) 3.71757 1.47637i 0.929392 0.369093i
\(17\) 2.52866 + 1.45992i 0.613289 + 0.354083i 0.774252 0.632878i \(-0.218126\pi\)
−0.160962 + 0.986961i \(0.551460\pi\)
\(18\) −4.19776 0.615496i −0.989421 0.145074i
\(19\) 1.58928 + 2.75271i 0.364606 + 0.631515i 0.988713 0.149823i \(-0.0478705\pi\)
−0.624107 + 0.781339i \(0.714537\pi\)
\(20\) 1.81001 + 2.09470i 0.404730 + 0.468390i
\(21\) 3.25469 + 3.22599i 0.710231 + 0.703969i
\(22\) −5.67722 2.59745i −1.21039 0.553777i
\(23\) 1.84696 + 3.19902i 0.385117 + 0.667043i 0.991785 0.127912i \(-0.0408277\pi\)
−0.606668 + 0.794955i \(0.707494\pi\)
\(24\) 4.83366 0.797307i 0.986667 0.162750i
\(25\) 1.54201 2.67084i 0.308402 0.534169i
\(26\) −0.858934 9.06138i −0.168451 1.77708i
\(27\) −4.86280 1.83117i −0.935846 0.352409i
\(28\) −4.71316 2.40544i −0.890704 0.454585i
\(29\) −6.67884 −1.24023 −0.620115 0.784511i \(-0.712914\pi\)
−0.620115 + 0.784511i \(0.712914\pi\)
\(30\) 1.61974 + 2.97864i 0.295723 + 0.543823i
\(31\) −2.17580 1.25620i −0.390786 0.225620i 0.291715 0.956505i \(-0.405774\pi\)
−0.682500 + 0.730885i \(0.739107\pi\)
\(32\) −5.03695 + 2.57472i −0.890415 + 0.455150i
\(33\) −6.11640 4.58869i −1.06473 0.798788i
\(34\) −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 \(-0.509216\pi\)
0.851188 + 0.524861i \(0.175883\pi\)
\(38\) −2.60492 3.66345i −0.422573 0.594290i
\(39\) 1.33504 11.0674i 0.213777 1.77220i
\(40\) −2.82786 2.70758i −0.447124 0.428107i
\(41\) 0.497427i 0.0776850i −0.999245 0.0388425i \(-0.987633\pi\)
0.999245 0.0388425i \(-0.0123671\pi\)
\(42\) −5.01281 4.10752i −0.773493 0.633805i
\(43\) 0.865898 0.132048 0.0660241 0.997818i \(-0.478969\pi\)
0.0660241 + 0.997818i \(0.478969\pi\)
\(44\) 8.33962 + 2.89929i 1.25724 + 0.437085i
\(45\) 1.16156 + 3.98680i 0.173155 + 0.594317i
\(46\) −3.02726 4.25743i −0.446346 0.627723i
\(47\) 1.59001 + 2.75398i 0.231927 + 0.401710i 0.958375 0.285512i \(-0.0921635\pi\)
−0.726448 + 0.687221i \(0.758830\pi\)
\(48\) −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
\(51\) −4.04541 3.03498i −0.566471 0.424982i
\(52\) 2.41859 + 12.6429i 0.335398 + 1.75326i
\(53\) 4.12906 7.15175i 0.567171 0.982368i −0.429673 0.902984i \(-0.641371\pi\)
0.996844 0.0793841i \(-0.0252954\pi\)
\(54\) 7.09073 + 1.92914i 0.964926 + 0.262522i
\(55\) 6.11065i 0.823960i
\(56\) 6.95669 + 2.75762i 0.929627 + 0.368502i
\(57\) −2.16191 5.06319i −0.286351 0.670635i
\(58\) 9.40316 0.891331i 1.23470 0.117038i
\(59\) −6.62279 3.82367i −0.862214 0.497799i 0.00253919 0.999997i \(-0.499192\pi\)
−0.864753 + 0.502197i \(0.832525\pi\)
\(60\) −2.67795 3.97747i −0.345722 0.513489i
\(61\) −2.99321 + 1.72813i −0.383241 + 0.221265i −0.679228 0.733928i \(-0.737685\pi\)
0.295986 + 0.955192i \(0.404352\pi\)
\(62\) 3.23096 + 1.47823i 0.410333 + 0.187736i
\(63\) −4.92754 6.22248i −0.620812 0.783959i
\(64\) 6.74792 4.29716i 0.843490 0.537146i
\(65\) −7.71521 + 4.45438i −0.956954 + 0.552497i
\(66\) 9.22368 + 5.64416i 1.13536 + 0.694748i
\(67\) −3.36806 + 5.83364i −0.411473 + 0.712693i −0.995051 0.0993644i \(-0.968319\pi\)
0.583578 + 0.812057i \(0.301652\pi\)
\(68\) 5.51586 + 1.91760i 0.668896 + 0.232544i
\(69\) −2.51243 5.88411i −0.302461 0.708363i
\(70\) −0.221680 + 5.17441i −0.0264958 + 0.618460i
\(71\) 1.90437 0.226007 0.113004 0.993595i \(-0.463953\pi\)
0.113004 + 0.993595i \(0.463953\pi\)
\(72\) −8.47728 + 0.368391i −0.999057 + 0.0434152i
\(73\) 3.23515 5.60345i 0.378646 0.655834i −0.612219 0.790688i \(-0.709723\pi\)
0.990866 + 0.134854i \(0.0430564\pi\)
\(74\) −6.65624 + 4.73295i −0.773772 + 0.550195i
\(75\) −3.20563 + 4.27288i −0.370155 + 0.493390i
\(76\) 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 \(-0.700864\pi\)
0.404257 + 0.914646i \(0.367530\pi\)
\(80\) 4.34270 + 3.43462i 0.485528 + 0.384002i
\(81\) 7.98216 + 4.15754i 0.886906 + 0.461949i
\(82\) 0.0663845 + 0.700328i 0.00733094 + 0.0773383i
\(83\) 7.00064i 0.768420i 0.923246 + 0.384210i \(0.125526\pi\)
−0.923246 + 0.384210i \(0.874474\pi\)
\(84\) 7.60572 + 5.11400i 0.829852 + 0.557983i
\(85\) 4.04161i 0.438374i
\(86\) −1.21910 + 0.115559i −0.131459 + 0.0124611i
\(87\) 11.4848 + 1.38539i 1.23130 + 0.148530i
\(88\) −12.1283 2.96895i −1.29288 0.316491i
\(89\) −8.22776 + 4.75030i −0.872141 + 0.503531i −0.868059 0.496461i \(-0.834633\pi\)
−0.00408165 + 0.999992i \(0.501299\pi\)
\(90\) −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
\(93\) 3.48090 + 2.61147i 0.360953 + 0.270797i
\(94\) −2.60612 3.66514i −0.268801 0.378031i
\(95\) −2.19986 + 3.81027i −0.225701 + 0.390926i
\(96\) 9.19553 3.38264i 0.938515 0.345239i
\(97\) 1.19214 0.121044 0.0605218 0.998167i \(-0.480724\pi\)
0.0605218 + 0.998167i \(0.480724\pi\)
\(98\) −3.33362 9.32132i −0.336747 0.941595i
\(99\) 9.56583 + 9.15936i 0.961402 + 0.920551i
\(100\) 2.02543 5.82601i 0.202543 0.582601i
\(101\) 1.03566 1.79382i 0.103052 0.178491i −0.809889 0.586584i \(-0.800473\pi\)
0.912941 + 0.408092i \(0.133806\pi\)
\(102\) 6.10058 + 3.73307i 0.604047 + 0.369629i
\(103\) 4.80043 2.77153i 0.473000 0.273087i −0.244495 0.969651i \(-0.578622\pi\)
0.717495 + 0.696564i \(0.245289\pi\)
\(104\) −5.09241 17.4772i −0.499352 1.71378i
\(105\) −1.61458 + 6.13422i −0.157567 + 0.598638i
\(106\) −4.85888 + 10.6200i −0.471936 + 1.03151i
\(107\) 5.17522 2.98792i 0.500308 0.288853i −0.228533 0.973536i \(-0.573393\pi\)
0.728841 + 0.684683i \(0.240060\pi\)
\(108\) −10.2405 1.76974i −0.985393 0.170293i
\(109\) −1.43595 0.829048i −0.137539 0.0794084i 0.429651 0.902995i \(-0.358636\pi\)
−0.567191 + 0.823586i \(0.691970\pi\)
\(110\) −0.815503 8.60320i −0.0777551 0.820283i
\(111\) −9.19946 + 3.92803i −0.873174 + 0.372832i
\(112\) −10.1624 2.95405i −0.960253 0.279131i
\(113\) 16.4545i 1.54791i −0.633241 0.773955i \(-0.718276\pi\)
0.633241 0.773955i \(-0.281724\pi\)
\(114\) 3.71946 + 6.83995i 0.348360 + 0.640620i
\(115\) −2.55654 + 4.42805i −0.238398 + 0.412918i
\(116\) −13.1198 + 2.50982i −1.21814 + 0.233030i
\(117\) −4.59142 + 18.7544i −0.424477 + 1.73385i
\(118\) 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
\(122\) 3.98352 2.83250i 0.360651 0.256443i
\(123\) −0.103181 + 0.855367i −0.00930353 + 0.0771259i
\(124\) −4.74616 1.65002i −0.426218 0.148176i
\(125\) 11.1898 1.00085
\(126\) 7.76793 + 8.10304i 0.692022 + 0.721876i
\(127\) 2.31360i 0.205299i −0.994718 0.102649i \(-0.967268\pi\)
0.994718 0.102649i \(-0.0327319\pi\)
\(128\) −8.92693 + 6.95054i −0.789036 + 0.614347i
\(129\) −1.48898 0.179613i −0.131098 0.0158141i
\(130\) 10.2678 7.30097i 0.900545 0.640337i
\(131\) 4.11383 2.37512i 0.359427 0.207515i −0.309402 0.950931i \(-0.600129\pi\)
0.668830 + 0.743416i \(0.266796\pi\)
\(132\) −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
\(135\) −1.17042 7.09658i −0.100733 0.610777i
\(136\) −8.02171 1.96368i −0.687856 0.168384i
\(137\) 0.290760 + 0.167870i 0.0248413 + 0.0143421i 0.512369 0.858765i \(-0.328768\pi\)
−0.487528 + 0.873107i \(0.662101\pi\)
\(138\) 4.32252 + 7.94895i 0.367957 + 0.676660i
\(139\) −9.35410 −0.793405 −0.396702 0.917947i \(-0.629845\pi\)
−0.396702 + 0.917947i \(0.629845\pi\)
\(140\) −0.378453 7.31465i −0.0319851 0.618201i
\(141\) −2.16290 5.06553i −0.182149 0.426594i
\(142\) −2.68117 + 0.254150i −0.224999 + 0.0213278i
\(143\) −14.2064 + 24.6062i −1.18800 + 2.05768i
\(144\) 11.8860 1.65000i 0.990502 0.137500i
\(145\) −4.62239 8.00621i −0.383868 0.664880i
\(146\) −3.80697 + 8.32086i −0.315067 + 0.688639i
\(147\) −1.55855 12.0238i −0.128547 0.991703i
\(148\) 8.73970 7.55185i 0.718399 0.620758i
\(149\) 1.03566 + 1.79382i 0.0848446 + 0.146955i 0.905325 0.424720i \(-0.139627\pi\)
−0.820480 + 0.571675i \(0.806294\pi\)
\(150\) 3.94298 6.44361i 0.321943 0.526119i
\(151\) 20.2661 + 11.7007i 1.64923 + 0.952186i 0.977377 + 0.211506i \(0.0678369\pi\)
0.671858 + 0.740680i \(0.265496\pi\)
\(152\) −6.49372 6.21752i −0.526710 0.504307i
\(153\) 6.32688 + 6.05804i 0.511498 + 0.489763i
\(154\) 7.63913 + 14.6454i 0.615578 + 1.18016i
\(155\) 3.47763i 0.279330i
\(156\) −1.53645 22.2423i −0.123015 1.78081i
\(157\) −19.3264 11.1581i −1.54241 0.890511i −0.998686 0.0512477i \(-0.983680\pi\)
−0.543725 0.839264i \(-0.682986\pi\)
\(158\) 2.19687 1.56210i 0.174774 0.124274i
\(159\) −8.58377 + 11.4416i −0.680737 + 0.907374i
\(160\) −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 −0.979069 0.203526i \(-0.934760\pi\)
0.313276 0.949662i \(-0.398574\pi\)
\(164\) −0.186926 0.977134i −0.0145965 0.0763014i
\(165\) 1.26753 10.5078i 0.0986772 0.818030i
\(166\) −0.934277 9.85621i −0.0725139 0.764991i
\(167\) 23.9142 1.85054 0.925269 0.379311i \(-0.123839\pi\)
0.925269 + 0.379311i \(0.123839\pi\)
\(168\) −11.3906 6.18499i −0.878804 0.477182i
\(169\) −28.4232 −2.18640
\(170\) −0.539377 5.69019i −0.0413683 0.436418i
\(171\) 2.66732 + 9.15502i 0.203975 + 0.700102i
\(172\) 1.70095 0.325392i 0.129696 0.0248109i
\(173\) −4.38442 7.59404i −0.333341 0.577364i 0.649824 0.760085i \(-0.274843\pi\)
−0.983165 + 0.182721i \(0.941509\pi\)
\(174\) −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
\(177\) 10.5953 + 7.94889i 0.796392 + 0.597475i
\(178\) 10.9499 7.78600i 0.820732 0.583585i
\(179\) 5.26665 + 3.04070i 0.393648 + 0.227273i 0.683740 0.729726i \(-0.260352\pi\)
−0.290092 + 0.956999i \(0.593686\pi\)
\(180\) 3.77992 + 7.39509i 0.281739 + 0.551197i
\(181\) 11.5816i 0.860857i −0.902625 0.430429i \(-0.858362\pi\)
0.902625 0.430429i \(-0.141638\pi\)
\(182\) −12.9224 + 20.3208i −0.957874 + 1.50628i
\(183\) 5.50555 2.35079i 0.406982 0.173775i
\(184\) −7.54658 7.22560i −0.556341 0.532678i
\(185\) 6.92300 + 3.99700i 0.508989 + 0.293865i
\(186\) −5.24929 3.21215i −0.384897 0.235526i
\(187\) 6.44498 + 11.1630i 0.471304 + 0.816322i
\(188\) 4.15830 + 4.81236i 0.303275 + 0.350978i
\(189\) 7.18260 + 11.7222i 0.522457 + 0.852665i
\(190\) 2.58869 5.65807i 0.187803 0.410480i
\(191\) 0.757053 + 1.31125i 0.0547784 + 0.0948790i 0.892114 0.451810i \(-0.149221\pi\)
−0.837336 + 0.546689i \(0.815888\pi\)
\(192\) −12.4950 + 5.98962i −0.901747 + 0.432264i
\(193\) −7.97806 + 13.8184i −0.574273 + 0.994670i 0.421847 + 0.906667i \(0.361382\pi\)
−0.996120 + 0.0880034i \(0.971951\pi\)
\(194\) −1.67842 + 0.159098i −0.120504 + 0.0114226i
\(195\) 14.1909 6.05931i 1.01623 0.433917i
\(196\) 5.93740 + 12.6786i 0.424100 + 0.905615i
\(197\) 0.963016 0.0686121 0.0343060 0.999411i \(-0.489078\pi\)
0.0343060 + 0.999411i \(0.489078\pi\)
\(198\) −14.6901 11.6189i −1.04398 0.825717i
\(199\) −1.72593 0.996469i −0.122348 0.0706378i 0.437577 0.899181i \(-0.355837\pi\)
−0.559925 + 0.828543i \(0.689170\pi\)
\(200\) −2.07409 + 8.47276i −0.146660 + 0.599115i
\(201\) 7.00173 9.33281i 0.493864 0.658286i
\(202\) −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
\(206\) −6.38866 + 4.54269i −0.445119 + 0.316504i
\(207\) 3.09979 + 10.6394i 0.215450 + 0.739488i
\(208\) 9.50206 + 23.9266i 0.658849 + 1.65901i
\(209\) 14.0321i 0.970620i
\(210\) 1.45452 8.85186i 0.100372 0.610836i
\(211\) 21.4567 1.47714 0.738569 0.674178i \(-0.235502\pi\)
0.738569 + 0.674178i \(0.235502\pi\)
\(212\) 5.42352 15.6004i 0.372489 1.07144i
\(213\) −3.27473 0.395024i −0.224381 0.0270666i
\(214\) −6.88746 + 4.89736i −0.470817 + 0.334777i
\(215\) 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
\(219\) −6.72544 + 8.96454i −0.454463 + 0.605768i
\(220\) 2.29630 + 12.0036i 0.154816 + 0.809285i
\(221\) −9.39617 + 16.2747i −0.632055 + 1.09475i
\(222\) 12.4277 6.75801i 0.834094 0.453568i
\(223\) 12.1938i 0.816559i −0.912857 0.408279i \(-0.866129\pi\)
0.912857 0.408279i \(-0.133871\pi\)
\(224\) 14.7019 + 2.80279i 0.982309 + 0.187269i
\(225\) 6.39868 6.68264i 0.426579 0.445509i
\(226\) 2.19595 + 23.1663i 0.146073 + 1.54100i
\(227\) −13.5954 7.84932i −0.902360 0.520978i −0.0243951 0.999702i \(-0.507766\pi\)
−0.877965 + 0.478724i \(0.841099\pi\)
\(228\) −6.14948 9.13360i −0.407259 0.604888i
\(229\) 10.4894 6.05608i 0.693161 0.400197i −0.111634 0.993749i \(-0.535608\pi\)
0.804795 + 0.593553i \(0.202275\pi\)
\(230\) 3.00840 6.57545i 0.198368 0.433572i
\(231\) 5.32246 + 19.5176i 0.350192 + 1.28416i
\(232\) 18.1364 5.28449i 1.19071 0.346944i
\(233\) −5.05877 + 2.92068i −0.331411 + 0.191340i −0.656468 0.754354i \(-0.727950\pi\)
0.325056 + 0.945695i \(0.394617\pi\)
\(234\) 3.96138 27.0171i 0.258964 1.76616i
\(235\) −2.20088 + 3.81203i −0.143569 + 0.248670i
\(236\) −14.4466 5.02239i −0.940390 0.326929i
\(237\) 3.03626 1.29644i 0.197226 0.0842126i
\(238\) 5.05255 + 9.68650i 0.327508 + 0.627883i
\(239\) −22.6171 −1.46298 −0.731490 0.681852i \(-0.761175\pi\)
−0.731490 + 0.681852i \(0.761175\pi\)
\(240\) −6.75519 6.80693i −0.436046 0.439385i
\(241\) 12.7459 22.0766i 0.821038 1.42208i −0.0838714 0.996477i \(-0.526729\pi\)
0.904910 0.425604i \(-0.139938\pi\)
\(242\) −6.95679 9.78376i −0.447200 0.628924i
\(243\) −12.8636 8.80499i −0.825200 0.564840i
\(244\) −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
\(248\) 6.90234 + 1.68966i 0.438299 + 0.107293i
\(249\) 1.45214 12.0382i 0.0920258 0.762889i
\(250\) −15.7542 + 1.49335i −0.996381 + 0.0944475i
\(251\) 1.11008i 0.0700675i 0.999386 + 0.0350338i \(0.0111539\pi\)
−0.999386 + 0.0350338i \(0.988846\pi\)
\(252\) −12.0179 10.3716i −0.757056 0.653350i
\(253\) 16.3072i 1.02522i
\(254\) 0.308763 + 3.25732i 0.0193735 + 0.204382i
\(255\) 0.838351 6.94989i 0.0524996 0.435219i
\(256\) 11.6407 10.9770i 0.727541 0.686064i
\(257\) 12.0906 6.98049i 0.754188 0.435431i −0.0730169 0.997331i \(-0.523263\pi\)
0.827205 + 0.561900i \(0.189929\pi\)
\(258\) 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
\(261\) −19.4618 4.76460i −1.20465 0.294921i
\(262\) −5.47490 + 3.89296i −0.338241 + 0.240508i
\(263\) 7.08483 12.2713i 0.436870 0.756680i −0.560577 0.828103i \(-0.689420\pi\)
0.997446 + 0.0714223i \(0.0227538\pi\)
\(264\) 20.2398 + 7.62113i 1.24567 + 0.469048i
\(265\) 11.4308 0.702189
\(266\) −0.509050 + 11.8822i −0.0312119 + 0.728543i
\(267\) 15.1337 6.46186i 0.926166 0.395459i
\(268\) −4.42394 + 12.7252i −0.270235 + 0.777312i
\(269\) 9.11023 15.7794i 0.555461 0.962086i −0.442407 0.896814i \(-0.645875\pi\)
0.997868 0.0652716i \(-0.0207914\pi\)
\(270\) 2.59491 + 9.83510i 0.157921 + 0.598545i
\(271\) 21.9278 12.6600i 1.33202 0.769041i 0.346410 0.938083i \(-0.387401\pi\)
0.985609 + 0.169042i \(0.0540673\pi\)
\(272\) 11.5558 + 1.69412i 0.700676 + 0.102721i
\(273\) −20.7628 + 20.9474i −1.25662 + 1.26780i
\(274\) −0.431765 0.197542i −0.0260839 0.0119339i
\(275\) 11.7907 6.80738i 0.711008 0.410500i
\(276\) −7.14652 10.6145i −0.430170 0.638917i
\(277\) 16.2822 + 9.40051i 0.978300 + 0.564822i 0.901756 0.432245i \(-0.142278\pi\)
0.0765434 + 0.997066i \(0.475612\pi\)
\(278\) 13.1697 1.24836i 0.789864 0.0748717i
\(279\) −5.44401 5.21269i −0.325924 0.312075i
\(280\) 1.50901 + 10.2478i 0.0901805 + 0.612424i
\(281\) 25.4910i 1.52067i 0.649533 + 0.760333i \(0.274964\pi\)
−0.649533 + 0.760333i \(0.725036\pi\)
\(282\) 3.72118 + 6.84311i 0.221593 + 0.407502i
\(283\) −6.01848 + 10.4243i −0.357761 + 0.619661i −0.987586 0.157076i \(-0.949793\pi\)
0.629825 + 0.776737i \(0.283126\pi\)
\(284\) 3.74091 0.715636i 0.221982 0.0424652i
\(285\) 4.57321 6.09577i 0.270894 0.361082i
\(286\) 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
\(290\) 7.57635 + 10.6551i 0.444898 + 0.625688i
\(291\) −2.04999 0.247286i −0.120173 0.0144962i
\(292\) 4.24937 12.2230i 0.248676 0.715298i
\(293\) −3.90464 −0.228111 −0.114056 0.993474i \(-0.536384\pi\)
−0.114056 + 0.993474i \(0.536384\pi\)
\(294\) 3.79893 + 16.7203i 0.221558 + 0.975147i
\(295\) 10.5854i 0.616303i
\(296\) −11.2968 + 11.7986i −0.656613 + 0.685782i
\(297\) −14.5493 17.7345i −0.844238 1.02906i
\(298\) −1.69750 2.38730i −0.0983338 0.138293i
\(299\) −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
\(303\) −2.15300 + 2.86979i −0.123686 + 0.164865i
\(304\) 9.97228 + 7.88703i 0.571950 + 0.452352i
\(305\) −4.14317 2.39206i −0.237237 0.136969i
\(306\) −9.71611 7.68477i −0.555433 0.439309i
\(307\) −11.0339 −0.629740 −0.314870 0.949135i \(-0.601961\pi\)
−0.314870 + 0.949135i \(0.601961\pi\)
\(308\) −12.7097 19.5998i −0.724200 1.11680i
\(309\) −8.82964 + 3.77013i −0.502301 + 0.214475i
\(310\) 0.464111 + 4.89617i 0.0263597 + 0.278084i
\(311\) 15.6553 27.1158i 0.887732 1.53760i 0.0451815 0.998979i \(-0.485613\pi\)
0.842550 0.538618i \(-0.181053\pi\)
\(312\) 5.13154 + 31.1099i 0.290516 + 1.76125i
\(313\) 6.53063 + 11.3114i 0.369133 + 0.639357i 0.989430 0.145010i \(-0.0463213\pi\)
−0.620297 + 0.784367i \(0.712988\pi\)
\(314\) 28.6987 + 13.1303i 1.61956 + 0.740984i
\(315\) 4.04883 10.2134i 0.228126 0.575460i
\(316\) −2.88451 + 2.49247i −0.162267 + 0.140212i
\(317\) 12.2315 + 21.1856i 0.686990 + 1.18990i 0.972807 + 0.231618i \(0.0744018\pi\)
−0.285817 + 0.958284i \(0.592265\pi\)
\(318\) 10.5582 17.2541i 0.592072 0.967564i
\(319\) −25.5343 14.7422i −1.42965 0.825407i
\(320\) 9.82138 + 5.11497i 0.549032 + 0.285935i
\(321\) −9.51902 + 4.06448i −0.531300 + 0.226857i
\(322\) −0.591585 + 13.8087i −0.0329678 + 0.769529i
\(323\) 9.28088i 0.516402i
\(324\) 17.2423 + 5.16740i 0.957907 + 0.287078i
\(325\) 17.1898 + 9.92452i 0.953517 + 0.550513i
\(326\) 13.9324 + 19.5940i 0.771646 + 1.08521i
\(327\) 2.29727 + 1.72348i 0.127039 + 0.0953085i
\(328\) 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 0.594434 0.804144i \(-0.297376\pi\)
−0.993626 + 0.112723i \(0.964043\pi\)
\(332\) 2.63074 + 13.7519i 0.144381 + 0.754734i
\(333\) 16.6341 4.84634i 0.911540 0.265578i
\(334\) −33.6689 + 3.19150i −1.84228 + 0.174631i
\(335\) −9.32404 −0.509427
\(336\) 16.8623 + 7.18772i 0.919913 + 0.392122i
\(337\) −18.7954 −1.02385 −0.511924 0.859030i \(-0.671067\pi\)
−0.511924 + 0.859030i \(0.671067\pi\)
\(338\) 40.0171 3.79324i 2.17664 0.206325i
\(339\) −3.41316 + 28.2949i −0.185377 + 1.53677i
\(340\) 1.51878 + 7.93925i 0.0823674 + 0.430566i
\(341\) −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
\(345\) 5.31469 7.08411i 0.286133 0.381396i
\(346\) 7.18630 + 10.1065i 0.386338 + 0.543331i
\(347\) −20.7411 11.9749i −1.11344 0.642846i −0.173723 0.984795i \(-0.555580\pi\)
−0.939719 + 0.341949i \(0.888913\pi\)
\(348\) 23.0812 1.59441i 1.23728 0.0854691i
\(349\) 3.59423i 0.192395i −0.995362 0.0961974i \(-0.969332\pi\)
0.995362 0.0961974i \(-0.0306680\pi\)
\(350\) 10.2312 5.33665i 0.546879 0.285256i
\(351\) 11.7856 31.2974i 0.629067 1.67053i
\(352\) −24.9403 1.27450i −1.32932 0.0679310i
\(353\) 22.4603 + 12.9675i 1.19544 + 0.690189i 0.959536 0.281587i \(-0.0908607\pi\)
0.235907 + 0.971776i \(0.424194\pi\)
\(354\) −15.9780 9.77726i −0.849220 0.519655i
\(355\) 1.31800 + 2.28285i 0.0699524 + 0.121161i
\(356\) −14.3773 + 12.4233i −0.761998 + 0.658432i
\(357\) 3.52030 + 12.9090i 0.186314 + 0.683217i
\(358\) −7.82073 3.57815i −0.413338 0.189111i
\(359\) −14.1756 24.5529i −0.748162 1.29585i −0.948703 0.316169i \(-0.897603\pi\)
0.200541 0.979685i \(-0.435730\pi\)
\(360\) −6.30868 9.90711i −0.332497 0.522151i
\(361\) 4.44838 7.70483i 0.234126 0.405517i
\(362\) 1.54564 + 16.3058i 0.0812370 + 0.857016i
\(363\) −5.77367 13.5219i −0.303039 0.709718i
\(364\) 15.4816 30.3343i 0.811456 1.58995i
\(365\) 8.95612 0.468785
\(366\) −7.43755 + 4.04443i −0.388767 + 0.211406i
\(367\) 3.10999 + 1.79556i 0.162340 + 0.0937272i 0.578969 0.815349i \(-0.303455\pi\)
−0.416629 + 0.909077i \(0.636789\pi\)
\(368\) 11.5891 + 9.16580i 0.604126 + 0.477800i
\(369\) 0.354858 1.44947i 0.0184731 0.0754566i
\(370\) −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 \(-0.798210\pi\)
0.110120 + 0.993918i \(0.464877\pi\)
\(374\) −10.5637 14.8563i −0.546235 0.768203i
\(375\) −19.2418 2.32110i −0.993644 0.119861i
\(376\) −6.49672 6.22039i −0.335043 0.320792i
\(377\) 42.9856i 2.21387i
\(378\) −11.6768 15.5452i −0.600590 0.799557i
\(379\) −14.5848 −0.749171 −0.374586 0.927192i \(-0.622215\pi\)
−0.374586 + 0.927192i \(0.622215\pi\)
\(380\) −2.88951 + 8.31149i −0.148229 + 0.426371i
\(381\) −0.479910 + 3.97843i −0.0245865 + 0.203821i
\(382\) −1.24085 1.74509i −0.0634875 0.0892863i
\(383\) −5.47353 9.48043i −0.279684 0.484427i 0.691622 0.722260i \(-0.256896\pi\)
−0.971306 + 0.237832i \(0.923563\pi\)
\(384\) 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
\(387\) 2.52318 + 0.617720i 0.128260 + 0.0314005i
\(388\) 2.34182 0.447990i 0.118888 0.0227433i
\(389\) −9.51835 + 16.4863i −0.482600 + 0.835887i −0.999800 0.0199769i \(-0.993641\pi\)
0.517201 + 0.855864i \(0.326974\pi\)
\(390\) −19.1708 + 10.4248i −0.970751 + 0.527880i
\(391\) 10.7856i 0.545453i
\(392\) −10.0513 17.0579i −0.507668 0.861553i
\(393\) −7.56676 + 3.23089i −0.381692 + 0.162977i
\(394\) −1.35583 + 0.128520i −0.0683059 + 0.00647475i
\(395\) −2.28492 1.31920i −0.114967 0.0663760i
\(396\) 22.2329 + 14.3978i 1.11724 + 0.723514i
\(397\) 6.49649 3.75075i 0.326050 0.188245i −0.328036 0.944665i \(-0.606387\pi\)
0.654086 + 0.756420i \(0.273053\pi\)
\(398\) 2.56293 + 1.17259i 0.128468 + 0.0587768i
\(399\) −3.70762 + 14.0862i −0.185613 + 0.705193i
\(400\) 1.78938 12.2056i 0.0894690 0.610281i
\(401\) −24.3528 + 14.0601i −1.21612 + 0.702128i −0.964086 0.265591i \(-0.914433\pi\)
−0.252035 + 0.967718i \(0.581100\pi\)
\(402\) −8.61223 + 14.0741i −0.429539 + 0.701953i
\(403\) 8.08501 14.0036i 0.402743 0.697571i
\(404\) 1.36034 3.91292i 0.0676794 0.194675i
\(405\) 0.540584 + 12.4460i 0.0268618 + 0.618445i
\(406\) −21.0873 13.4098i −1.04654 0.665519i
\(407\) 25.4954 1.26376
\(408\) 13.3867 + 5.04065i 0.662739 + 0.249549i
\(409\) 6.57782 11.3931i 0.325252 0.563353i −0.656311 0.754490i \(-0.727884\pi\)
0.981563 + 0.191137i \(0.0612175\pi\)
\(410\) −0.793568 + 0.564271i −0.0391915 + 0.0278673i
\(411\) −0.465165 0.348980i −0.0229449 0.0172139i
\(412\) 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
\(416\) −16.5711 32.4182i −0.812466 1.58943i
\(417\) 16.0852 + 1.94032i 0.787694 + 0.0950179i
\(418\) −1.87267 19.7558i −0.0915951 0.966289i
\(419\) 4.42222i 0.216040i 0.994149 + 0.108020i \(0.0344510\pi\)
−0.994149 + 0.108020i \(0.965549\pi\)
\(420\) −0.866496 + 12.6567i −0.0422807 + 0.617582i
\(421\) 22.2013i 1.08203i 0.841014 + 0.541014i \(0.181959\pi\)
−0.841014 + 0.541014i \(0.818041\pi\)
\(422\) −30.2089 + 2.86352i −1.47055 + 0.139394i
\(423\) 2.66856 + 9.15925i 0.129750 + 0.445338i
\(424\) −5.55382 + 22.6876i −0.269718 + 1.10181i
\(425\) 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
\(429\) 29.5332 39.3656i 1.42588 1.90059i
\(430\) −0.982257 1.38141i −0.0473686 0.0666174i
\(431\) −8.76759 + 15.1859i −0.422320 + 0.731479i −0.996166 0.0874837i \(-0.972117\pi\)
0.573846 + 0.818963i \(0.305451\pi\)
\(432\) −20.7813 + 0.371801i −0.999840 + 0.0178883i
\(433\) 0.852347 0.0409612 0.0204806 0.999790i \(-0.493480\pi\)
0.0204806 + 0.999790i \(0.493480\pi\)
\(434\) −4.34750 8.33483i −0.208687 0.400085i
\(435\) 6.28786 + 14.7262i 0.301480 + 0.706066i
\(436\) −3.13230 1.08895i −0.150010 0.0521514i
\(437\) −5.87066 + 10.1683i −0.280832 + 0.486415i
\(438\) 8.27240 13.5187i 0.395271 0.645951i
\(439\) −14.5943 + 8.42604i −0.696549 + 0.402153i −0.806061 0.591833i \(-0.798405\pi\)
0.109512 + 0.993986i \(0.465071\pi\)
\(440\) −4.83492 16.5935i −0.230496 0.791064i
\(441\) 0.185972 + 20.9992i 0.00885582 + 0.999961i
\(442\) 11.0569 24.1671i 0.525925 1.14951i
\(443\) 24.9578 14.4094i 1.18578 0.684611i 0.228436 0.973559i \(-0.426639\pi\)
0.957345 + 0.288948i \(0.0933055\pi\)
\(444\) −16.5951 + 11.1732i −0.787570 + 0.530255i
\(445\) −11.3888 6.57531i −0.539879 0.311699i
\(446\) 1.62734 + 17.1677i 0.0770567 + 0.812915i
\(447\) −1.40881 3.29945i −0.0666347 0.156058i
\(448\) −21.0728 1.98400i −0.995597 0.0937352i
\(449\) 1.27217i 0.0600373i 0.999549 + 0.0300186i \(0.00955666\pi\)
−0.999549 + 0.0300186i \(0.990443\pi\)
\(450\) −8.11688 + 10.2624i −0.382634 + 0.483776i
\(451\) 1.09797 1.90174i 0.0517015 0.0895496i
\(452\) −6.18337 32.3229i −0.290841 1.52034i
\(453\) −32.4223 24.3241i −1.52333 1.14285i
\(454\) 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 0.986105 0.166124i \(-0.0531253\pi\)
−0.636920 + 0.770930i \(0.719792\pi\)
\(458\) −13.9599 + 9.92624i −0.652302 + 0.463823i
\(459\) −9.62299 11.7297i −0.449163 0.547495i
\(460\) −3.35801 + 9.65908i −0.156568 + 0.450357i
\(461\) −27.1371 −1.26390 −0.631950 0.775009i \(-0.717745\pi\)
−0.631950 + 0.775009i \(0.717745\pi\)
\(462\) −10.0982 26.7685i −0.469813 1.24539i
\(463\) 24.3062i 1.12960i 0.825227 + 0.564801i \(0.191047\pi\)
−0.825227 + 0.564801i \(0.808953\pi\)
\(464\) −24.8291 + 9.86046i −1.15266 + 0.457760i
\(465\) −0.721366 + 5.98009i −0.0334525 + 0.277320i
\(466\) 6.73248 4.78716i 0.311876 0.221761i
\(467\) 22.2686 12.8568i 1.03047 0.594940i 0.113349 0.993555i \(-0.463842\pi\)
0.917118 + 0.398615i \(0.130509\pi\)
\(468\) −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
\(471\) 30.9188 + 23.1961i 1.42466 + 1.06882i
\(472\) 21.0096 + 5.14305i 0.967045 + 0.236728i
\(473\) 3.31047 + 1.91130i 0.152216 + 0.0878817i
\(474\) −4.10174 + 2.23046i −0.188399 + 0.102449i
\(475\) 9.80275 0.449781
\(476\) −8.40622 12.9634i −0.385298 0.594175i
\(477\) 17.1338 17.8942i 0.784504 0.819319i
\(478\) 31.8427 3.01839i 1.45645 0.138058i
\(479\) 4.48448 7.76735i 0.204901 0.354899i −0.745200 0.666841i \(-0.767646\pi\)
0.950101 + 0.311942i \(0.100979\pi\)
\(480\) 10.4191 + 8.68197i 0.475564 + 0.396276i
\(481\) 18.5849 + 32.1900i 0.847399 + 1.46774i
\(482\) −14.9988 + 32.7828i −0.683176 + 1.49321i
\(483\) −4.30875 + 16.3701i −0.196055 + 0.744865i
\(484\) 11.1002 + 12.8462i 0.504554 + 0.583916i
\(485\) 0.825074 + 1.42907i 0.0374647 + 0.0648908i
\(486\) 19.2858 + 10.6798i 0.874820 + 0.484447i
\(487\) 5.02256 + 2.89978i 0.227594 + 0.131401i 0.609462 0.792816i \(-0.291386\pi\)
−0.381868 + 0.924217i \(0.624719\pi\)
\(488\) 6.76073 7.06106i 0.306044 0.319639i
\(489\) 11.5630 + 27.0805i 0.522896 + 1.22462i
\(490\) 8.86667 10.4474i 0.400555 0.471965i
\(491\) 13.5893i 0.613275i −0.951826 0.306637i \(-0.900796\pi\)
0.951826 0.306637i \(-0.0992039\pi\)
\(492\) 0.118748 + 1.71904i 0.00535357 + 0.0775003i
\(493\) −16.8885 9.75058i −0.760620 0.439144i
\(494\) 23.5783 16.7655i 1.06084 0.754314i
\(495\) −4.35926 + 17.8061i −0.195934 + 0.800325i
\(496\) −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 0.895412 + 0.445239i \(0.146881\pi\)
−0.0621178 + 0.998069i \(0.519785\pi\)
\(500\) 21.9810 4.20497i 0.983021 0.188052i
\(501\) −41.1225 4.96053i −1.83722 0.221620i
\(502\) −0.148147 1.56288i −0.00661210 0.0697548i
\(503\) −24.5224 −1.09340 −0.546699 0.837329i \(-0.684116\pi\)
−0.546699 + 0.837329i \(0.684116\pi\)
\(504\) 18.3042 + 12.9984i 0.815332 + 0.578993i
\(505\) 2.86710 0.127584
\(506\) −2.17629 22.9589i −0.0967480 1.02065i
\(507\) 48.8761 + 5.89582i 2.17066 + 0.261843i
\(508\) −0.869418 4.54478i −0.0385742 0.201642i
\(509\) 21.4381 + 37.1319i 0.950226 + 1.64584i 0.744932 + 0.667140i \(0.232482\pi\)
0.205294 + 0.978700i \(0.434185\pi\)
\(510\) −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
\(513\) −2.68766 16.2961i −0.118663 0.719492i
\(514\) −16.0907 + 11.4414i −0.709732 + 0.504659i
\(515\) 6.64470 + 3.83632i 0.292800 + 0.169048i
\(516\) −2.99243 + 0.206711i −0.131734 + 0.00909995i
\(517\) 14.0386i 0.617416i
\(518\) 21.5891 + 0.924909i 0.948571 + 0.0406382i
\(519\) 5.96415 + 13.9681i 0.261797 + 0.613129i
\(520\) 17.4262 18.2004i 0.764191 0.798139i
\(521\) −1.58214 0.913450i −0.0693149 0.0400190i 0.464942 0.885341i \(-0.346075\pi\)
−0.534257 + 0.845322i \(0.679409\pi\)
\(522\) 28.0362 + 4.11080i 1.22711 + 0.179925i
\(523\) 12.7145 + 22.0222i 0.555966 + 0.962962i 0.997828 + 0.0658788i \(0.0209851\pi\)
−0.441861 + 0.897083i \(0.645682\pi\)
\(524\) 7.18859 6.21156i 0.314035 0.271353i
\(525\) 13.6349 3.71824i 0.595075 0.162277i
\(526\) −8.33708 + 18.2223i −0.363514 + 0.794530i
\(527\) −3.66790 6.35300i −0.159776 0.276741i
\(528\) −29.5127 8.02869i −1.28438 0.349404i
\(529\) 4.67750 8.10166i 0.203369 0.352246i
\(530\) −16.0935 + 1.52551i −0.699055 + 0.0662639i
\(531\) −16.5707 15.8666i −0.719107 0.688551i
\(532\) −0.869054 16.7969i −0.0376783 0.728237i
\(533\) 3.20148 0.138671
\(534\) −20.4444 + 11.1173i −0.884715 + 0.481095i
\(535\) 7.16348 + 4.13584i 0.309704 + 0.178808i
\(536\) 4.53022 18.5062i 0.195676 0.799345i
\(537\) −8.42572 6.32121i −0.363597 0.272780i
\(538\) −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 \(-0.799716\pi\)
0.105416 + 0.994428i \(0.466382\pi\)
\(542\) −29.1826 + 20.7505i −1.25350 + 0.891309i
\(543\) −2.40238 + 19.9156i −0.103096 + 0.854662i
\(544\) −16.4956 0.842959i −0.707243 0.0361416i
\(545\) 2.29512i 0.0983119i
\(546\) 26.4364 32.2629i 1.13137 1.38072i
\(547\) 13.0624 0.558509 0.279254 0.960217i \(-0.409913\pi\)
0.279254 + 0.960217i \(0.409913\pi\)
\(548\) 0.634247 + 0.220498i 0.0270937 + 0.00941919i
\(549\) −9.95488 + 2.90036i −0.424864 + 0.123784i
\(550\) −15.6917 + 11.1577i −0.669097 + 0.475765i
\(551\) −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
\(555\) −11.0756 8.30921i −0.470133 0.352706i
\(556\) −18.3750 + 3.51514i −0.779274 + 0.149075i
\(557\) 15.9928 27.7003i 0.677635 1.17370i −0.298056 0.954549i \(-0.596338\pi\)
0.975691 0.219151i \(-0.0703286\pi\)
\(558\) 8.36030 + 6.61242i 0.353920 + 0.279926i
\(559\) 5.57299i 0.235712i
\(560\) −3.49217 14.2265i −0.147571 0.601181i
\(561\) −8.76714 20.5327i −0.370149 0.866890i
\(562\) −3.40193 35.8889i −0.143502 1.51388i
\(563\) −31.2546 18.0449i −1.31723 0.760501i −0.333944 0.942593i \(-0.608380\pi\)
−0.983281 + 0.182092i \(0.941713\pi\)
\(564\) −6.15232 9.13782i −0.259059 0.384772i
\(565\) 19.7247 11.3881i 0.829825 0.479100i
\(566\) 7.08224 15.4796i 0.297689 0.650656i
\(567\) −9.91956 21.6472i −0.416582 0.909098i
\(568\) −5.17133 + 1.50679i −0.216984 + 0.0632236i
\(569\) 23.5336 13.5871i 0.986579 0.569601i 0.0823288 0.996605i \(-0.473764\pi\)
0.904250 + 0.427004i \(0.140431\pi\)
\(570\) −5.62512 + 9.19257i −0.235610 + 0.385034i
\(571\) −7.45448 + 12.9115i −0.311960 + 0.540331i −0.978787 0.204882i \(-0.934319\pi\)
0.666826 + 0.745213i \(0.267652\pi\)
\(572\) −18.6601 + 53.6745i −0.780218 + 2.24424i
\(573\) −1.02982 2.41185i −0.0430215 0.100756i
\(574\) 0.998738 1.57054i 0.0416865 0.0655530i
\(575\) 11.3921 0.475084
\(576\) 22.7286 7.70783i 0.947025 0.321159i
\(577\) −19.1659 + 33.1963i −0.797886 + 1.38198i 0.123104 + 0.992394i \(0.460715\pi\)
−0.920990 + 0.389585i \(0.872618\pi\)
\(578\) 6.94511 + 9.76733i 0.288878 + 0.406267i
\(579\) 16.5853 22.1070i 0.689262 0.918737i
\(580\) −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
\(584\) −4.35146 + 17.7759i −0.180065 + 0.735573i
\(585\) −25.6594 + 7.47588i −1.06089 + 0.309090i
\(586\) 5.49735 0.521097i 0.227093 0.0215263i
\(587\) 0.964880i 0.0398249i 0.999802 + 0.0199124i \(0.00633874\pi\)
−0.999802 + 0.0199124i \(0.993661\pi\)
\(588\) −7.57995 23.0335i −0.312592 0.949888i
\(589\) 7.98581i 0.329050i
\(590\) 1.41268 + 14.9031i 0.0581591 + 0.613553i
\(591\) −1.65599 0.199758i −0.0681182 0.00821696i
\(592\) 14.3302 18.1190i 0.588967 0.744684i
\(593\) 14.9519 8.63251i 0.614003 0.354495i −0.160528 0.987031i \(-0.551320\pi\)
0.774530 + 0.632537i \(0.217986\pi\)
\(594\) 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
\(597\) 2.76119 + 2.07152i 0.113008 + 0.0847818i
\(598\) 27.4012 19.4837i 1.12052 0.796749i
\(599\) −6.22127 + 10.7756i −0.254194 + 0.440277i −0.964676 0.263438i \(-0.915144\pi\)
0.710482 + 0.703715i \(0.248477\pi\)
\(600\) 5.32408 14.1394i 0.217355 0.577239i
\(601\) −27.7052 −1.13012 −0.565059 0.825051i \(-0.691147\pi\)
−0.565059 + 0.825051i \(0.691147\pi\)
\(602\) 2.73392 + 1.73856i 0.111426 + 0.0708583i
\(603\) −13.9760 + 14.5962i −0.569146 + 0.594403i
\(604\) 44.2073 + 15.3688i 1.79877 + 0.625348i
\(605\) −5.87504 + 10.1759i −0.238854 + 0.413708i
\(606\) 2.64822 4.32772i 0.107577 0.175802i
\(607\) 5.43950 3.14050i 0.220783 0.127469i −0.385530 0.922695i \(-0.625981\pi\)
0.606313 + 0.795226i \(0.292648\pi\)
\(608\) −15.0926 9.77331i −0.612085 0.396360i
\(609\) −21.7375 21.5459i −0.880850 0.873083i
\(610\) 6.15241 + 2.81486i 0.249104 + 0.113970i
\(611\) −17.7249 + 10.2335i −0.717072 + 0.414002i
\(612\) 14.7049 + 9.52273i 0.594411 + 0.384934i
\(613\) −17.0190 9.82590i −0.687389 0.396864i 0.115244 0.993337i \(-0.463235\pi\)
−0.802633 + 0.596473i \(0.796568\pi\)
\(614\) 15.5347 1.47255i 0.626930 0.0594271i
\(615\) −1.09678 + 0.468307i −0.0442263 + 0.0188840i
\(616\) 20.5097 + 25.8984i 0.826358 + 1.04348i
\(617\) 32.2579i 1.29865i 0.760509 + 0.649327i \(0.224949\pi\)
−0.760509 + 0.649327i \(0.775051\pi\)
\(618\) 11.9281 6.48634i 0.479820 0.260919i
\(619\) 13.3846 23.1828i 0.537973 0.931797i −0.461040 0.887379i \(-0.652524\pi\)
0.999013 0.0444173i \(-0.0141431\pi\)
\(620\) −1.30685 6.83139i −0.0524842 0.274355i
\(621\) −3.12343 18.9383i −0.125339 0.759968i
\(622\) −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
\(626\) −10.7041 15.0538i −0.427820 0.601670i
\(627\) 2.91068 24.1294i 0.116241 0.963635i
\(628\) −42.1573 14.6561i −1.68226 0.584843i
\(629\) 16.8627 0.672361
\(630\) −4.33732 + 14.9198i −0.172803 + 0.594419i
\(631\) 29.4363i 1.17184i 0.810369 + 0.585920i \(0.199267\pi\)
−0.810369 + 0.585920i \(0.800733\pi\)
\(632\) 3.72848 3.89411i 0.148311 0.154899i
\(633\) −36.8966 4.45076i −1.46651 0.176902i
\(634\) −20.0481 28.1949i −0.796213 1.11976i
\(635\) 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
\(639\) 5.54924 + 1.35855i 0.219524 + 0.0537436i
\(640\) −14.5102 5.89066i −0.573565 0.232849i
\(641\) −34.2214 19.7578i −1.35167 0.780384i −0.363183 0.931718i \(-0.618310\pi\)
−0.988483 + 0.151334i \(0.951643\pi\)
\(642\) 12.8594 6.99276i 0.507521 0.275982i
\(643\) 17.3857 0.685626 0.342813 0.939404i \(-0.388620\pi\)
0.342813 + 0.939404i \(0.388620\pi\)
\(644\) −1.00996 19.5203i −0.0397979 0.769206i
\(645\) −0.815208 1.90922i −0.0320988 0.0751754i
\(646\) −1.23859 13.0666i −0.0487316 0.514098i
\(647\) −23.6414 + 40.9480i −0.929438 + 1.60983i −0.145174 + 0.989406i \(0.546374\pi\)
−0.784264 + 0.620427i \(0.786959\pi\)
\(648\) −24.9651 4.97411i −0.980723 0.195402i
\(649\) −16.8800 29.2370i −0.662598 1.14765i
\(650\) −25.5260 11.6787i −1.00121 0.458075i
\(651\) −3.02907 11.1077i −0.118718 0.435343i
\(652\) −22.2305 25.7271i −0.870612 1.00755i
\(653\) −14.1939 24.5845i −0.555449 0.962067i −0.997868 0.0652581i \(-0.979213\pi\)
0.442419 0.896808i \(-0.354120\pi\)
\(654\) −3.46434 2.11990i −0.135467 0.0828948i
\(655\) 5.69432 + 3.28762i 0.222495 + 0.128458i
\(656\) −0.734387 1.84922i −0.0286730 0.0721998i
\(657\) 13.4245 14.0202i 0.523739 0.546981i
\(658\) −0.509285 + 11.8877i −0.0198540 + 0.463429i
\(659\) 3.58703i 0.139731i −0.997556 0.0698654i \(-0.977743\pi\)
0.997556 0.0698654i \(-0.0222570\pi\)
\(660\) −1.45876 21.1176i −0.0567823 0.822001i
\(661\) −1.09189 0.630403i −0.0424696 0.0245198i 0.478615 0.878025i \(-0.341139\pi\)
−0.521084 + 0.853505i \(0.674472\pi\)
\(662\) 11.9039 + 16.7412i 0.462659 + 0.650665i
\(663\) 19.5334 26.0366i 0.758613 1.01118i
\(664\) −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
\(668\) 46.9766 8.98663i 1.81758 0.347703i
\(669\) −2.52936 + 20.9683i −0.0977909 + 0.810682i
\(670\) 13.1273 1.24435i 0.507154 0.0480734i
\(671\) −15.2581 −0.589031
\(672\) −24.6997 7.86923i −0.952812 0.303562i
\(673\) 34.9662 1.34785 0.673925 0.738800i \(-0.264607\pi\)
0.673925 + 0.738800i \(0.264607\pi\)
\(674\) 26.4620 2.50835i 1.01928 0.0966182i
\(675\) −12.3893 + 10.1641i −0.476863 + 0.391216i
\(676\) −55.8339 + 10.6810i −2.14746 + 0.410809i
\(677\) −2.84885 4.93435i −0.109490 0.189642i 0.806074 0.591815i \(-0.201588\pi\)
−0.915564 + 0.402173i \(0.868255\pi\)
\(678\) 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
\(681\) 21.7503 + 16.3177i 0.833474 + 0.625295i
\(682\) 9.08960 + 12.7833i 0.348059 + 0.489496i
\(683\) 19.9548 + 11.5209i 0.763551 + 0.440836i 0.830569 0.556915i \(-0.188015\pi\)
−0.0670183 + 0.997752i \(0.521349\pi\)
\(684\) 8.67996 + 16.9816i 0.331887 + 0.649307i
\(685\) 0.464729i 0.0177564i
\(686\) −8.17589 + 24.8828i −0.312157 + 0.950031i
\(687\) −19.2937 + 8.23812i −0.736100 + 0.314304i
\(688\) 3.21904 1.27839i 0.122725 0.0487380i
\(689\) 46.0293 + 26.5750i 1.75358 + 1.01243i
\(690\) −6.53715 + 10.6830i −0.248865 + 0.406695i
\(691\) −18.0614 31.2833i −0.687090 1.19007i −0.972775 0.231751i \(-0.925555\pi\)
0.285686 0.958323i \(-0.407779\pi\)
\(692\) −11.4664 13.2700i −0.435887 0.504448i
\(693\) −5.10389 34.6662i −0.193881 1.31686i
\(694\) 30.7996 + 14.0915i 1.16914 + 0.534904i
\(695\) −6.47392 11.2132i −0.245570 0.425339i
\(696\) −32.2833 + 5.32509i −1.22369 + 0.201847i
\(697\) 0.726203 1.25782i 0.0275069 0.0476434i
\(698\) 0.479672 + 5.06033i 0.0181558 + 0.191536i
\(699\) 9.30483 3.97302i 0.351941 0.150274i
\(700\) −13.6923 + 8.87890i −0.517520 + 0.335591i
\(701\) 29.8672 1.12807 0.564035 0.825751i \(-0.309248\pi\)
0.564035 + 0.825751i \(0.309248\pi\)
\(702\) −12.4161 + 45.6365i −0.468615 + 1.72244i
\(703\) 15.8975 + 9.17844i 0.599586 + 0.346171i
\(704\) 35.2835 1.53406i 1.32980 0.0578169i
\(705\) 4.57533 6.09858i 0.172317 0.229686i
\(706\) −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 0.605240 0.796043i \(-0.293077\pi\)
0.992013 0.126132i \(-0.0402564\pi\)
\(710\) −2.16028 3.03814i −0.0810740 0.114019i
\(711\) −5.49002 + 1.59952i −0.205892 + 0.0599868i
\(712\) 18.5839 19.4095i 0.696462 0.727401i
\(713\) 9.28059i 0.347561i
\(714\) −6.67902 17.7048i −0.249956 0.662586i
\(715\) −39.3287 −1.47081
\(716\) 11.4883 + 3.99396i 0.429340 + 0.149261i
\(717\) 38.8921 + 4.69147i 1.45245 + 0.175206i
\(718\) 23.2347 + 32.6763i 0.867109 + 1.21947i
\(719\) −8.31324 14.3990i −0.310032 0.536991i 0.668337 0.743858i \(-0.267006\pi\)
−0.978369 + 0.206868i \(0.933673\pi\)
\(720\) 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
\(723\) −26.4971 + 35.3187i −0.985437 + 1.31352i
\(724\) −4.35222 22.7507i −0.161749 0.845525i
\(725\) −10.2989 + 17.8381i −0.382490 + 0.662492i
\(726\) 9.93335 + 18.2671i 0.368661 + 0.677954i
\(727\) 6.37182i 0.236318i 0.992995 + 0.118159i \(0.0376992\pi\)
−0.992995 + 0.118159i \(0.962301\pi\)
\(728\) −17.7483 + 44.7739i −0.657795 + 1.65943i
\(729\) 20.2936 + 17.8092i 0.751616 + 0.659601i
\(730\) −12.6093 + 1.19525i −0.466693 + 0.0442381i
\(731\) 2.18956 + 1.26414i 0.0809837 + 0.0467560i
\(732\) 9.93159 6.68674i 0.367082 0.247149i
\(733\) −33.2648 + 19.2054i −1.22866 + 0.709369i −0.966750 0.255723i \(-0.917686\pi\)
−0.261912 + 0.965092i \(0.584353\pi\)
\(734\) −4.61819 2.11292i −0.170461 0.0779893i
\(735\) 13.3347 10.1899i 0.491859 0.375859i
\(736\) −17.5396 11.3579i −0.646519 0.418658i
\(737\) −25.7533 + 14.8687i −0.948634 + 0.547694i
\(738\) −0.306164 + 2.08808i −0.0112701 + 0.0768631i
\(739\) 0.546366 0.946333i 0.0200984 0.0348114i −0.855801 0.517305i \(-0.826935\pi\)
0.875900 + 0.482493i \(0.160269\pi\)
\(740\) 15.1014 + 5.25005i 0.555139 + 0.192996i
\(741\) 32.5871 13.9142i 1.19712 0.511151i
\(742\) 27.3962 14.2900i 1.00574 0.524603i
\(743\) −26.5914 −0.975545 −0.487772 0.872971i \(-0.662190\pi\)
−0.487772 + 0.872971i \(0.662190\pi\)
\(744\) −11.5187 4.33727i −0.422295 0.159012i
\(745\) −1.43355 + 2.48298i −0.0525212 + 0.0909693i
\(746\) 17.8785 12.7126i 0.654578 0.465441i
\(747\) −4.99416 + 20.3995i −0.182727 + 0.746378i
\(748\) 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 \(-0.494199\pi\)
0.874993 + 0.484135i \(0.160866\pi\)
\(752\) 9.97689 + 7.89068i 0.363820 + 0.287743i
\(753\) 0.230263 1.90887i 0.00839127 0.0695632i
\(754\) 5.73668 + 60.5195i 0.208918 + 2.20399i
\(755\) 32.3918i 1.17886i
\(756\) 18.5144 + 20.3277i 0.673362 + 0.739313i
\(757\) 26.8780i 0.976898i −0.872592 0.488449i \(-0.837563\pi\)
0.872592 0.488449i \(-0.162437\pi\)
\(758\) 20.5340 1.94643i 0.745828 0.0706975i
\(759\) 3.38260 28.0416i 0.122781 1.01785i
\(760\) 2.95894 12.0874i 0.107332 0.438456i
\(761\) −46.8523 + 27.0502i −1.69840 + 0.980569i −0.751111 + 0.660176i \(0.770482\pi\)
−0.947285 + 0.320393i \(0.896185\pi\)
\(762\) 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
\(765\) −2.88323 + 11.7770i −0.104243 + 0.425799i
\(766\) 8.97142 + 12.6170i 0.324150 + 0.455872i
\(767\) 24.6095 42.6248i 0.888596 1.53909i
\(768\) −22.2941 + 16.4613i −0.804467 + 0.593997i
\(769\) −9.44304 −0.340525 −0.170262 0.985399i \(-0.554462\pi\)
−0.170262 + 0.985399i \(0.554462\pi\)
\(770\) −12.2690 + 19.2933i −0.442145 + 0.695283i
\(771\) −22.2387 + 9.49560i −0.800907 + 0.341976i
\(772\) −10.4792 + 30.1426i −0.377154 + 1.08486i
\(773\) 18.7073 32.4020i 0.672856 1.16542i