Properties

Label 168.2.v.a.107.1
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 107.1
Character \(\chi\) \(=\) 168.107
Dual form 168.2.v.a.11.1

$q$-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 \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −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 −0.668742 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
\(9\) 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 0.203177 0.979142i \(-0.434873\pi\)
0.949550 + 0.313614i \(0.101540\pi\)
\(12\) −3.45587 0.238725i −0.997623 0.0689139i
\(13\) 6.43609i 1.78505i −0.450999 0.892525i \(-0.648932\pi\)
0.450999 0.892525i \(-0.351068\pi\)
\(14\) 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 −0.160962 0.986961i \(-0.551460\pi\)
0.774252 + 0.632878i \(0.218126\pi\)
\(18\) −4.19776 + 0.615496i −0.989421 + 0.145074i
\(19\) 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
\(21\) 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 −0.606668 0.794955i \(-0.707494\pi\)
0.991785 + 0.127912i \(0.0408277\pi\)
\(24\) 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 −0.682500 0.730885i \(-0.739107\pi\)
0.291715 + 0.956505i \(0.405774\pi\)
\(32\) −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 0.851188 0.524861i \(-0.175883\pi\)
−0.0289485 + 0.999581i \(0.509216\pi\)
\(38\) −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 \(0.0123671\pi\)
−0.999245 + 0.0388425i \(0.987633\pi\)
\(42\) −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 −0.726448 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
\(51\) −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 0.996844 + 0.0793841i \(0.0252954\pi\)
−0.429673 + 0.902984i \(0.641371\pi\)
\(54\) 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 −0.864753 0.502197i \(-0.832525\pi\)
0.00253919 + 0.999997i \(0.499192\pi\)
\(60\) −2.67795 + 3.97747i −0.345722 + 0.513489i
\(61\) −2.99321 1.72813i −0.383241 0.221265i 0.295986 0.955192i \(-0.404352\pi\)
−0.679228 + 0.733928i \(0.737685\pi\)
\(62\) 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 0.583578 0.812057i \(-0.301652\pi\)
−0.995051 + 0.0993644i \(0.968319\pi\)
\(68\) 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 0.990866 0.134854i \(-0.0430564\pi\)
−0.612219 + 0.790688i \(0.709723\pi\)
\(74\) −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 0.404257 0.914646i \(-0.367530\pi\)
−0.589978 + 0.807419i \(0.700864\pi\)
\(80\) 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 \(-0.874474\pi\)
0.923246 0.384210i \(-0.125526\pi\)
\(84\) 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 −0.00408165 0.999992i \(-0.501299\pi\)
−0.868059 + 0.496461i \(0.834633\pi\)
\(90\) −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 0.912941 0.408092i \(-0.133806\pi\)
−0.809889 + 0.586584i \(0.800473\pi\)
\(102\) 6.10058 3.73307i 0.604047 0.369629i
\(103\) 4.80043 + 2.77153i 0.473000 + 0.273087i 0.717495 0.696564i \(-0.245289\pi\)
−0.244495 + 0.969651i \(0.578622\pi\)
\(104\) −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 0.728841 0.684683i \(-0.240060\pi\)
−0.228533 + 0.973536i \(0.573393\pi\)
\(108\) −10.2405 + 1.76974i −0.985393 + 0.170293i
\(109\) −1.43595 + 0.829048i −0.137539 + 0.0794084i −0.567191 0.823586i \(-0.691970\pi\)
0.429651 + 0.902995i \(0.358636\pi\)
\(110\) −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 \(0.281724\pi\)
−0.633241 + 0.773955i \(0.718276\pi\)
\(114\) 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 \(0.0327319\pi\)
−0.994718 + 0.102649i \(0.967268\pi\)
\(128\) −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 0.668830 0.743416i \(-0.266796\pi\)
−0.309402 + 0.950931i \(0.600129\pi\)
\(132\) −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 −0.487528 0.873107i \(-0.662101\pi\)
0.512369 + 0.858765i \(0.328768\pi\)
\(138\) 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 −0.820480 0.571675i \(-0.806294\pi\)
0.905325 + 0.424720i \(0.139627\pi\)
\(150\) 3.94298 + 6.44361i 0.321943 + 0.526119i
\(151\) 20.2661 11.7007i 1.64923 0.952186i 0.671858 0.740680i \(-0.265496\pi\)
0.977377 0.211506i \(-0.0678369\pi\)
\(152\) −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 −0.543725 + 0.839264i \(0.682986\pi\)
−0.998686 + 0.0512477i \(0.983680\pi\)
\(158\) 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 0.313276 + 0.949662i \(0.398574\pi\)
−0.979069 + 0.203526i \(0.934760\pi\)
\(164\) −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 −0.983165 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
\(177\) 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 −0.290092 0.956999i \(-0.593686\pi\)
0.683740 + 0.729726i \(0.260352\pi\)
\(180\) 3.77992 7.39509i 0.281739 0.551197i
\(181\) 11.5816i 0.860857i 0.902625 + 0.430429i \(0.141638\pi\)
−0.902625 + 0.430429i \(0.858362\pi\)
\(182\) −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 −0.837336 0.546689i \(-0.815888\pi\)
0.892114 + 0.451810i \(0.149221\pi\)
\(192\) −12.4950 5.98962i −0.901747 0.432264i
\(193\) −7.97806 13.8184i −0.574273 0.994670i −0.996120 0.0880034i \(-0.971951\pi\)
0.421847 0.906667i \(-0.361382\pi\)
\(194\) −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 −0.559925 0.828543i \(-0.689170\pi\)
0.437577 + 0.899181i \(0.355837\pi\)
\(200\) −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 \(0.133871\pi\)
−0.912857 + 0.408279i \(0.866129\pi\)
\(224\) 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 −0.877965 0.478724i \(-0.841099\pi\)
−0.0243951 + 0.999702i \(0.507766\pi\)
\(228\) −6.14948 + 9.13360i −0.407259 + 0.604888i
\(229\) 10.4894 + 6.05608i 0.693161 + 0.400197i 0.804795 0.593553i \(-0.202275\pi\)
−0.111634 + 0.993749i \(0.535608\pi\)
\(230\) 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 0.325056 0.945695i \(-0.394617\pi\)
−0.656468 + 0.754354i \(0.727950\pi\)
\(234\) 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 0.904910 + 0.425604i \(0.139938\pi\)
−0.0838714 + 0.996477i \(0.526729\pi\)
\(242\) −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 \(-0.988846\pi\)
0.999386 0.0350338i \(-0.0111539\pi\)
\(252\) −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 0.827205 0.561900i \(-0.189929\pi\)
−0.0730169 + 0.997331i \(0.523263\pi\)
\(258\) 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 0.997446 0.0714223i \(-0.0227538\pi\)
−0.560577 + 0.828103i \(0.689420\pi\)
\(264\) 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 0.997868 + 0.0652716i \(0.0207914\pi\)
−0.442407 + 0.896814i \(0.645875\pi\)
\(270\) 2.59491 9.83510i 0.157921 0.598545i
\(271\) 21.9278 + 12.6600i 1.33202 + 0.769041i 0.985609 0.169042i \(-0.0540673\pi\)
0.346410 + 0.938083i \(0.387401\pi\)
\(272\) 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 0.0765434 0.997066i \(-0.475612\pi\)
0.901756 + 0.432245i \(0.142278\pi\)
\(278\) 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 \(-0.725036\pi\)
0.649533 0.760333i \(-0.274964\pi\)
\(282\) 3.72118 6.84311i 0.221593 0.407502i
\(283\) −6.01848 10.4243i −0.357761 0.619661i 0.629825 0.776737i \(-0.283126\pi\)
−0.987586 + 0.157076i \(0.949793\pi\)
\(284\) 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 0.842550 + 0.538618i \(0.181053\pi\)
0.0451815 + 0.998979i \(0.485613\pi\)
\(312\) 5.13154 31.1099i 0.290516 1.76125i
\(313\) 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
\(315\) 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 −0.285817 0.958284i \(-0.592265\pi\)
0.972807 0.231618i \(-0.0744018\pi\)
\(318\) 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 −0.993626 0.112723i \(-0.964043\pi\)
0.594434 + 0.804144i \(0.297376\pi\)
\(332\) 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 −0.939719 0.341949i \(-0.888913\pi\)
−0.173723 + 0.984795i \(0.555580\pi\)
\(348\) 23.0812 + 1.59441i 1.23728 + 0.0854691i
\(349\) 3.59423i 0.192395i 0.995362 + 0.0961974i \(0.0306680\pi\)
−0.995362 + 0.0961974i \(0.969332\pi\)
\(350\) 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 0.235907 0.971776i \(-0.424194\pi\)
0.959536 + 0.281587i \(0.0908607\pi\)
\(354\) −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 0.200541 + 0.979685i \(0.435730\pi\)
−0.948703 + 0.316169i \(0.897603\pi\)
\(360\) −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 −0.416629 0.909077i \(-0.636789\pi\)
0.578969 + 0.815349i \(0.303455\pi\)
\(368\) 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 0.110120 0.993918i \(-0.464877\pi\)
−0.805699 + 0.592326i \(0.798210\pi\)
\(374\) −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 −0.971306 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
\(387\) 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 0.517201 0.855864i \(-0.326974\pi\)
−0.999800 + 0.0199769i \(0.993641\pi\)
\(390\) −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 0.654086 0.756420i \(-0.273053\pi\)
−0.328036 + 0.944665i \(0.606387\pi\)
\(398\) 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 −0.252035 0.967718i \(-0.581100\pi\)
−0.964086 + 0.265591i \(0.914433\pi\)
\(402\) −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 0.981563 0.191137i \(-0.0612175\pi\)
−0.656311 + 0.754490i \(0.727884\pi\)
\(410\) −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 \(-0.965549\pi\)
0.994149 0.108020i \(-0.0344510\pi\)
\(420\) −0.866496 12.6567i −0.0422807 0.617582i
\(421\) 22.2013i 1.08203i −0.841014 0.541014i \(-0.818041\pi\)
0.841014 0.541014i \(-0.181959\pi\)
\(422\) −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 0.573846 0.818963i \(-0.305451\pi\)
−0.996166 + 0.0874837i \(0.972117\pi\)
\(432\) −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 0.109512 0.993986i \(-0.465071\pi\)
−0.806061 + 0.591833i \(0.798405\pi\)
\(440\) −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 0.957345 0.288948i \(-0.0933055\pi\)
0.228436 + 0.973559i \(0.426639\pi\)
\(444\) −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 \(-0.990443\pi\)
0.999549 0.0300186i \(-0.00955666\pi\)
\(450\) −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 −0.636920 0.770930i \(-0.719792\pi\)
0.986105 + 0.166124i \(0.0531253\pi\)
\(458\) −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 \(-0.808953\pi\)
0.825227 0.564801i \(-0.191047\pi\)
\(464\) −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 0.917118 0.398615i \(-0.130509\pi\)
0.113349 + 0.993555i \(0.463842\pi\)
\(468\) −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 0.950101 0.311942i \(-0.100979\pi\)
−0.745200 + 0.666841i \(0.767646\pi\)
\(480\) 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 −0.381868 0.924217i \(-0.624719\pi\)
0.609462 + 0.792816i \(0.291386\pi\)
\(488\) 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 \(0.0992039\pi\)
−0.951826 + 0.306637i \(0.900796\pi\)
\(492\) 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 −0.0621178 0.998069i \(-0.519785\pi\)
0.895412 0.445239i \(-0.146881\pi\)
\(500\) 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 0.205294 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
\(513\) −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 −0.534257 0.845322i \(-0.679409\pi\)
0.464942 + 0.885341i \(0.346075\pi\)
\(522\) 28.0362 4.11080i 1.22711 0.179925i
\(523\) 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
\(525\) 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 0.105416 0.994428i \(-0.466382\pi\)
−0.808492 + 0.588507i \(0.799716\pi\)
\(542\) −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 0.975691 + 0.219151i \(0.0703286\pi\)
−0.298056 + 0.954549i \(0.596338\pi\)
\(558\) 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 −0.983281 0.182092i \(-0.941713\pi\)
−0.333944 + 0.942593i \(0.608380\pi\)
\(564\) −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 0.904250 0.427004i \(-0.140431\pi\)
0.0823288 + 0.996605i \(0.473764\pi\)
\(570\) −5.62512 9.19257i −0.235610 0.385034i
\(571\) −7.45448 12.9115i −0.311960 0.540331i 0.666826 0.745213i \(-0.267652\pi\)
−0.978787 + 0.204882i \(0.934319\pi\)
\(572\) −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 −0.920990 0.389585i \(-0.872618\pi\)
0.123104 0.992394i \(-0.460715\pi\)
\(578\) 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 \(-0.993661\pi\)
0.999802 0.0199124i \(-0.00633874\pi\)
\(588\) −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 0.774530 0.632537i \(-0.217986\pi\)
−0.160528 + 0.987031i \(0.551320\pi\)
\(594\) 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 0.710482 0.703715i \(-0.248477\pi\)
−0.964676 + 0.263438i \(0.915144\pi\)
\(600\) 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 0.606313 0.795226i \(-0.292648\pi\)
−0.385530 + 0.922695i \(0.625981\pi\)
\(608\) −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 −0.802633 0.596473i \(-0.796568\pi\)
0.115244 + 0.993337i \(0.463235\pi\)
\(614\) 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 \(-0.775051\pi\)
0.760509 0.649327i \(-0.224949\pi\)
\(618\) 11.9281 + 6.48634i 0.479820 + 0.260919i
\(619\) 13.3846 + 23.1828i 0.537973 + 0.931797i 0.999013 + 0.0444173i \(0.0141431\pi\)
−0.461040 + 0.887379i \(0.652524\pi\)
\(620\) −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 \(-0.800733\pi\)
0.810369 0.585920i \(-0.199267\pi\)
\(632\) 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 −0.988483 0.151334i \(-0.951643\pi\)
−0.363183 + 0.931718i \(0.618310\pi\)
\(642\) 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 −0.784264 0.620427i \(-0.786959\pi\)
−0.145174 0.989406i \(-0.546374\pi\)
\(648\) −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 0.442419 + 0.896808i \(0.354120\pi\)
−0.997868 + 0.0652581i \(0.979213\pi\)
\(654\) −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 \(0.0222570\pi\)
−0.997556 + 0.0698654i \(0.977743\pi\)
\(660\) −1.45876 + 21.1176i −0.0567823 + 0.822001i
\(661\) −1.09189 + 0.630403i −0.0424696 + 0.0245198i −0.521084 0.853505i \(-0.674472\pi\)
0.478615 + 0.878025i \(0.341139\pi\)
\(662\) 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 −0.915564 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
\(681\) 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 −0.0670183 0.997752i \(-0.521349\pi\)
0.830569 + 0.556915i \(0.188015\pi\)
\(684\) 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 0.285686 + 0.958323i \(0.407779\pi\)
−0.972775 + 0.231751i \(0.925555\pi\)
\(692\) −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 0.992013 + 0.126132i \(0.0402564\pi\)
0.605240 + 0.796043i \(0.293077\pi\)
\(710\) −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 −0.978369 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
\(723\) −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 \(-0.962301\pi\)
0.992995 0.118159i \(-0.0376992\pi\)
\(728\) −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 −0.261912 0.965092i \(-0.584353\pi\)
−0.966750 + 0.255723i \(0.917686\pi\)
\(734\) −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 0.875900 0.482493i \(-0.160269\pi\)
−0.855801 + 0.517305i \(0.826935\pi\)
\(740\) 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 0.874993 0.484135i \(-0.160866\pi\)
0.0182235 + 0.999834i \(0.494199\pi\)
\(752\) 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 \(0.162437\pi\)
−0.872592 + 0.488449i \(0.837563\pi\)
\(758\) 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 −0.947285 0.320393i \(-0.896185\pi\)
−0.751111 0.660176i \(-0.770482\pi\)
\(762\) 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 +