Properties

Label 168.2.v.a.107.28
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 107.28
Character \(\chi\) \(=\) 168.107
Dual form 168.2.v.a.11.28

$q$-expansion

\(f(q)\) \(=\) \(q+(1.40790 + 0.133456i) q^{2} +(1.03943 - 1.38549i) q^{3} +(1.96438 + 0.375786i) q^{4} +(-0.692094 + 1.19874i) q^{5} +(1.64832 - 1.81192i) q^{6} +(-2.08863 + 1.62408i) q^{7} +(2.71550 + 0.791228i) q^{8} +(-0.839162 - 2.88024i) q^{9} +O(q^{10})\) \(q+(1.40790 + 0.133456i) q^{2} +(1.03943 - 1.38549i) q^{3} +(1.96438 + 0.375786i) q^{4} +(-0.692094 + 1.19874i) q^{5} +(1.64832 - 1.81192i) q^{6} +(-2.08863 + 1.62408i) q^{7} +(2.71550 + 0.791228i) q^{8} +(-0.839162 - 2.88024i) q^{9} +(-1.13438 + 1.59535i) q^{10} +(-3.82316 + 2.20731i) q^{11} +(2.56249 - 2.33102i) 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} +(-0.797072 - 4.16709i) q^{18} +(1.58928 - 2.75271i) q^{19} +(-1.81001 + 2.09470i) q^{20} +(0.0791630 + 4.58189i) q^{21} +(-5.67722 + 2.59745i) q^{22} +(-1.84696 + 3.19902i) q^{23} +(3.91882 - 2.93987i) 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} +(1.03123 + 3.22993i) q^{30} +(-2.17580 + 1.25620i) q^{31} +(5.03695 + 2.57472i) q^{32} +(-0.915722 + 7.59130i) q^{33} +(-3.75494 + 1.71796i) q^{34} +(-0.501330 - 3.62774i) q^{35} +(-0.566076 - 5.97324i) q^{36} +(5.00149 + 2.88761i) q^{37} +(2.60492 - 3.66345i) q^{38} +(-8.91713 - 6.68987i) q^{39} +(-2.82786 + 2.70758i) q^{40} -0.497427i q^{41} +(-0.500027 + 6.46142i) q^{42} +0.865898 q^{43} +(-8.33962 + 2.89929i) q^{44} +(4.03345 + 0.987462i) q^{45} +(-3.02726 + 4.25743i) q^{46} +(-1.59001 + 2.75398i) q^{47} +(5.90966 - 3.61607i) q^{48} +(1.72472 - 6.78420i) q^{49} +(1.81456 + 3.96608i) q^{50} +(-0.605663 + 5.02092i) q^{51} +(2.41859 - 12.6429i) q^{52} +(-4.12906 - 7.15175i) q^{53} +(-6.60197 - 3.22708i) 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} +(1.02081 + 4.68505i) q^{60} +(-2.99321 - 1.72813i) q^{61} +(-3.23096 + 1.47823i) q^{62} +(6.43045 + 4.65289i) q^{63} +(6.74792 + 4.29716i) q^{64} +(7.71521 + 4.45438i) q^{65} +(-2.30235 + 10.5656i) 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} +(0.000183819 - 8.48528i) q^{72} +(3.23515 + 5.60345i) q^{73} +(6.65624 + 4.73295i) q^{74} +(5.30324 + 0.639719i) q^{75} +(4.15638 - 4.81014i) q^{76} +(4.40032 - 10.8194i) q^{77} +(-11.6616 - 10.6087i) q^{78} +(-1.65073 - 0.953048i) q^{79} +(-4.34270 + 3.43462i) q^{80} +(-7.59162 + 4.83398i) q^{81} +(0.0663845 - 0.700328i) q^{82} +7.00064i q^{83} +(-1.56630 + 9.03032i) q^{84} -4.04161i q^{85} +(1.21910 + 0.115559i) q^{86} +(6.94220 - 9.25347i) q^{87} +(-12.1283 + 2.96895i) q^{88} +(8.22776 + 4.75030i) q^{89} +(5.54692 + 1.92854i) q^{90} +(10.4527 + 13.4426i) q^{91} +(-4.83027 + 5.59004i) q^{92} +(-0.521147 + 4.32029i) q^{93} +(-2.60612 + 3.66514i) q^{94} +(2.19986 + 3.81027i) q^{95} +(8.80281 - 4.30239i) 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
\(3\) 1.03943 1.38549i 0.600116 0.799913i
\(4\) 1.96438 + 0.375786i 0.982190 + 0.187893i
\(5\) −0.692094 + 1.19874i −0.309514 + 0.536094i −0.978256 0.207401i \(-0.933500\pi\)
0.668742 + 0.743494i \(0.266833\pi\)
\(6\) 1.64832 1.81192i 0.672924 0.739711i
\(7\) −2.08863 + 1.62408i −0.789426 + 0.613845i
\(8\) 2.71550 + 0.791228i 0.960075 + 0.279741i
\(9\) −0.839162 2.88024i −0.279721 0.960081i
\(10\) −1.13438 + 1.59535i −0.358723 + 0.504493i
\(11\) −3.82316 + 2.20731i −1.15273 + 0.665528i −0.949550 0.313614i \(-0.898460\pi\)
−0.203177 + 0.979142i \(0.565127\pi\)
\(12\) 2.56249 2.33102i 0.739726 0.672908i
\(13\) 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 −0.774252 0.632878i \(-0.781874\pi\)
0.160962 + 0.986961i \(0.448540\pi\)
\(18\) −0.797072 4.16709i −0.187872 0.982194i
\(19\) 1.58928 2.75271i 0.364606 0.631515i −0.624107 0.781339i \(-0.714537\pi\)
0.988713 + 0.149823i \(0.0478705\pi\)
\(20\) −1.81001 + 2.09470i −0.404730 + 0.468390i
\(21\) 0.0791630 + 4.58189i 0.0172748 + 0.999851i
\(22\) −5.67722 + 2.59745i −1.21039 + 0.553777i
\(23\) −1.84696 + 3.19902i −0.385117 + 0.667043i −0.991785 0.127912i \(-0.959172\pi\)
0.606668 + 0.794955i \(0.292506\pi\)
\(24\) 3.91882 2.93987i 0.799926 0.600099i
\(25\) 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 \(-0.287086\pi\)
0.620115 + 0.784511i \(0.287086\pi\)
\(30\) 1.03123 + 3.22993i 0.188275 + 0.589701i
\(31\) −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
\(33\) −0.915722 + 7.59130i −0.159407 + 1.32148i
\(34\) −3.75494 + 1.71796i −0.643966 + 0.294628i
\(35\) −0.501330 3.62774i −0.0847402 0.613200i
\(36\) −0.566076 5.97324i −0.0943460 0.995539i
\(37\) 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
\(39\) −8.91713 6.68987i −1.42788 1.07124i
\(40\) −2.82786 + 2.70758i −0.447124 + 0.428107i
\(41\) 0.497427i 0.0776850i −0.999245 0.0388425i \(-0.987633\pi\)
0.999245 0.0388425i \(-0.0123671\pi\)
\(42\) −0.500027 + 6.46142i −0.0771558 + 0.997019i
\(43\) 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
\(45\) 4.03345 + 0.987462i 0.601271 + 0.147202i
\(46\) −3.02726 + 4.25743i −0.446346 + 0.627723i
\(47\) −1.59001 + 2.75398i −0.231927 + 0.401710i −0.958375 0.285512i \(-0.907836\pi\)
0.726448 + 0.687221i \(0.241170\pi\)
\(48\) 5.90966 3.61607i 0.852986 0.521934i
\(49\) 1.72472 6.78420i 0.246388 0.969171i
\(50\) 1.81456 + 3.96608i 0.256618 + 0.560888i
\(51\) −0.605663 + 5.02092i −0.0848097 + 0.703069i
\(52\) 2.41859 12.6429i 0.335398 1.75326i
\(53\) −4.12906 7.15175i −0.567171 0.982368i −0.996844 0.0793841i \(-0.974705\pi\)
0.429673 0.902984i \(-0.358629\pi\)
\(54\) −6.60197 3.22708i −0.898414 0.439150i
\(55\) 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 \(-0.500808\pi\)
0.864753 + 0.502197i \(0.167475\pi\)
\(60\) 1.02081 + 4.68505i 0.131786 + 0.604837i
\(61\) −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
\(63\) 6.43045 + 4.65289i 0.810160 + 0.586209i
\(64\) 6.74792 + 4.29716i 0.843490 + 0.537146i
\(65\) 7.71521 + 4.45438i 0.956954 + 0.552497i
\(66\) −2.30235 + 10.5656i −0.283400 + 1.30054i
\(67\) −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 \(-0.536047\pi\)
−0.113004 + 0.993595i \(0.536047\pi\)
\(72\) 0.000183819 8.48528i 2.16633e−5 1.00000i
\(73\) 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
\(75\) 5.30324 + 0.639719i 0.612365 + 0.0738684i
\(76\) 4.15638 4.81014i 0.476769 0.551761i
\(77\) 4.40032 10.8194i 0.501463 1.23298i
\(78\) −11.6616 10.6087i −1.32042 1.20120i
\(79\) −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
\(81\) −7.59162 + 4.83398i −0.843513 + 0.537109i
\(82\) 0.0663845 0.700328i 0.00733094 0.0773383i
\(83\) 7.00064i 0.768420i 0.923246 + 0.384210i \(0.125526\pi\)
−0.923246 + 0.384210i \(0.874474\pi\)
\(84\) −1.56630 + 9.03032i −0.170898 + 0.985289i
\(85\) 4.04161i 0.438374i
\(86\) 1.21910 + 0.115559i 0.131459 + 0.0124611i
\(87\) 6.94220 9.25347i 0.744282 0.992076i
\(88\) −12.1283 + 2.96895i −1.29288 + 0.316491i
\(89\) 8.22776 + 4.75030i 0.872141 + 0.503531i 0.868059 0.496461i \(-0.165367\pi\)
0.00408165 + 0.999992i \(0.498701\pi\)
\(90\) 5.54692 + 1.92854i 0.584697 + 0.203286i
\(91\) 10.4527 + 13.4426i 1.09574 + 1.40916i
\(92\) −4.83027 + 5.59004i −0.503591 + 0.582801i
\(93\) −0.521147 + 4.32029i −0.0540404 + 0.447993i
\(94\) −2.60612 + 3.66514i −0.268801 + 0.378031i
\(95\) 2.19986 + 3.81027i 0.225701 + 0.390926i
\(96\) 8.80281 4.30239i 0.898433 0.439111i
\(97\) 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 \(-0.199527\pi\)
−0.912941 + 0.408092i \(0.866194\pi\)
\(102\) −1.52278 + 6.98813i −0.150778 + 0.691928i
\(103\) 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
\(105\) −5.54729 3.07620i −0.541361 0.300207i
\(106\) −4.85888 10.6200i −0.471936 1.03151i
\(107\) −5.17522 2.98792i −0.500308 0.288853i 0.228533 0.973536i \(-0.426607\pi\)
−0.728841 + 0.684683i \(0.759940\pi\)
\(108\) −8.86425 5.42448i −0.852963 0.521971i
\(109\) −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 \(-0.718276\pi\)
0.633241 0.773955i \(-0.281724\pi\)
\(114\) −2.36804 7.41699i −0.221787 0.694665i
\(115\) −2.55654 4.42805i −0.238398 0.412918i
\(116\) 13.1198 + 2.50982i 1.21814 + 0.233030i
\(117\) −18.5375 + 5.40092i −1.71379 + 0.499315i
\(118\) 9.83453 4.49950i 0.905342 0.414213i
\(119\) 2.91039 7.15597i 0.266795 0.655987i
\(120\) 0.811958 + 6.73232i 0.0741213 + 0.614574i
\(121\) 4.24439 7.35150i 0.385854 0.668318i
\(122\) −3.98352 2.83250i −0.360651 0.256443i
\(123\) −0.689179 0.517041i −0.0621412 0.0466200i
\(124\) −4.74616 + 1.65002i −0.426218 + 0.148176i
\(125\) −11.1898 −1.00085
\(126\) 8.43249 + 7.40899i 0.751226 + 0.660045i
\(127\) 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
\(129\) 0.900042 1.19969i 0.0792443 0.105627i
\(130\) 10.2678 + 7.30097i 0.900545 + 0.640337i
\(131\) −4.11383 2.37512i −0.359427 0.207515i 0.309402 0.950931i \(-0.399871\pi\)
−0.668830 + 0.743416i \(0.733204\pi\)
\(132\) −4.65153 + 14.5681i −0.404864 + 1.26799i
\(133\) 1.15122 + 8.33050i 0.0998234 + 0.722346i
\(134\) −3.96336 8.66269i −0.342382 0.748342i
\(135\) 5.56061 4.56190i 0.478581 0.392626i
\(136\) −8.02171 + 1.96368i −0.687856 + 0.168384i
\(137\) −0.290760 + 0.167870i −0.0248413 + 0.0143421i −0.512369 0.858765i \(-0.671232\pi\)
0.487528 + 0.873107i \(0.337899\pi\)
\(138\) 2.75198 + 8.61955i 0.234264 + 0.733745i
\(139\) −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
\(144\) 1.13267 11.9464i 0.0943892 0.995535i
\(145\) −4.62239 + 8.00621i −0.383868 + 0.664880i
\(146\) 3.80697 + 8.32086i 0.315067 + 0.688639i
\(147\) −7.60671 9.44129i −0.627391 0.778705i
\(148\) 8.73970 + 7.55185i 0.718399 + 0.620758i
\(149\) −1.03566 + 1.79382i −0.0848446 + 0.146955i −0.905325 0.424720i \(-0.860373\pi\)
0.820480 + 0.571675i \(0.193706\pi\)
\(150\) 7.38107 + 1.60841i 0.602662 + 0.131326i
\(151\) 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
\(156\) −15.0027 16.4924i −1.20117 1.32045i
\(157\) −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
\(159\) −14.2006 1.71298i −1.12618 0.135848i
\(160\) −6.57246 + 4.25605i −0.519599 + 0.336470i
\(161\) −1.33787 9.68118i −0.105439 0.762983i
\(162\) −11.3334 + 5.79263i −0.890434 + 0.455112i
\(163\) −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
\(165\) −8.46624 6.35161i −0.659096 0.494472i
\(166\) −0.934277 + 9.85621i −0.0725139 + 0.764991i
\(167\) −23.9142 −1.85054 −0.925269 0.379311i \(-0.876161\pi\)
−0.925269 + 0.379311i \(0.876161\pi\)
\(168\) −3.41035 + 12.5048i −0.263114 + 0.964765i
\(169\) −28.4232 −2.18640
\(170\) 0.539377 5.69019i 0.0413683 0.436418i
\(171\) −9.26215 2.26754i −0.708294 0.173403i
\(172\) 1.70095 + 0.325392i 0.129696 + 0.0248109i
\(173\) 4.38442 7.59404i 0.333341 0.577364i −0.649824 0.760085i \(-0.725157\pi\)
0.983165 + 0.182721i \(0.0584906\pi\)
\(174\) 11.0089 12.1015i 0.834581 0.917412i
\(175\) −7.55835 3.07404i −0.571358 0.232375i
\(176\) −17.4717 + 2.56140i −1.31698 + 0.193073i
\(177\) 1.58629 13.1503i 0.119233 0.988433i
\(178\) 10.9499 + 7.78600i 0.820732 + 0.583585i
\(179\) −5.26665 + 3.04070i −0.393648 + 0.227273i −0.683740 0.729726i \(-0.739648\pi\)
0.290092 + 0.956999i \(0.406314\pi\)
\(180\) 7.55215 + 3.45546i 0.562904 + 0.257555i
\(181\) 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
\(186\) −1.31029 + 6.01299i −0.0960753 + 0.440894i
\(187\) 6.44498 11.1630i 0.471304 0.816322i
\(188\) −4.15830 + 4.81236i −0.303275 + 0.350978i
\(189\) 13.1305 4.07296i 0.955106 0.296264i
\(190\) 2.58869 + 5.65807i 0.187803 + 0.410480i
\(191\) −0.757053 + 1.31125i −0.0547784 + 0.0948790i −0.892114 0.451810i \(-0.850779\pi\)
0.837336 + 0.546689i \(0.184112\pi\)
\(192\) 12.9677 4.88256i 0.935861 0.352368i
\(193\) −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 \(-0.510922\pi\)
−0.0343060 + 0.999411i \(0.510922\pi\)
\(198\) 12.2454 + 14.1721i 0.870242 + 1.00717i
\(199\) −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
\(201\) −11.5833 1.39727i −0.817024 0.0985559i
\(202\) −1.21871 2.66373i −0.0857484 0.187420i
\(203\) −13.9496 + 10.8470i −0.979070 + 0.761309i
\(204\) −3.07654 + 9.63538i −0.215401 + 0.674612i
\(205\) 0.596286 + 0.344266i 0.0416464 + 0.0240446i
\(206\) 6.38866 + 4.54269i 0.445119 + 0.316504i
\(207\) 10.7639 + 2.63519i 0.748141 + 0.183158i
\(208\) 9.50206 23.9266i 0.658849 1.65901i
\(209\) 14.0321i 0.970620i
\(210\) −7.39951 5.07131i −0.510615 0.349954i
\(211\) 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
\(213\) −1.97947 + 2.63849i −0.135631 + 0.180786i
\(214\) −6.88746 4.89736i −0.470817 0.334777i
\(215\) −0.599283 + 1.03799i −0.0408707 + 0.0707902i
\(216\) −11.7561 8.82013i −0.799900 0.600134i
\(217\) 2.50427 6.15741i 0.170001 0.417992i
\(218\) −2.13232 + 0.975582i −0.144419 + 0.0660747i
\(219\) 11.1262 + 1.34214i 0.751842 + 0.0906931i
\(220\) 2.29630 12.0036i 0.154816 0.809285i
\(221\) 9.39617 + 16.2747i 0.632055 + 1.09475i
\(222\) 13.4762 4.30257i 0.904461 0.288769i
\(223\) 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 0.0243951 0.999702i \(-0.492234\pi\)
0.877965 + 0.478724i \(0.158901\pi\)
\(228\) −2.34413 10.7584i −0.155244 0.712494i
\(229\) 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
\(231\) −10.4163 17.3426i −0.685341 1.14106i
\(232\) 18.1364 + 5.28449i 1.19071 + 0.346944i
\(233\) 5.05877 + 2.92068i 0.331411 + 0.191340i 0.656468 0.754354i \(-0.272050\pi\)
−0.325056 + 0.945695i \(0.605383\pi\)
\(234\) −26.8198 + 5.13002i −1.75326 + 0.335360i
\(235\) −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 \(-0.238825\pi\)
0.731490 + 0.681852i \(0.238825\pi\)
\(240\) 0.244689 + 9.58681i 0.0157946 + 0.618826i
\(241\) 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
\(243\) −1.19354 + 15.5427i −0.0765656 + 0.997065i
\(244\) −5.23039 4.51951i −0.334842 0.289332i
\(245\) 6.93884 + 6.76279i 0.443306 + 0.432059i
\(246\) −0.901295 0.819919i −0.0574645 0.0522761i
\(247\) −17.7167 10.2287i −1.12729 0.650839i
\(248\) −6.90234 + 1.68966i −0.438299 + 0.107293i
\(249\) 9.69931 + 7.27669i 0.614669 + 0.461141i
\(250\) −15.7542 1.49335i −0.996381 0.0944475i
\(251\) 1.11008i 0.0700675i 0.999386 + 0.0350338i \(0.0111539\pi\)
−0.999386 + 0.0350338i \(0.988846\pi\)
\(252\) 10.8833 + 11.5565i 0.685586 + 0.727991i
\(253\) 16.3072i 1.02522i
\(254\) −0.308763 + 3.25732i −0.0193735 + 0.204382i
\(255\) −5.59961 4.20098i −0.350661 0.263075i
\(256\) 11.6407 + 10.9770i 0.727541 + 0.686064i
\(257\) −12.0906 6.98049i −0.754188 0.435431i 0.0730169 0.997331i \(-0.476737\pi\)
−0.827205 + 0.561900i \(0.810071\pi\)
\(258\) 1.42728 1.56893i 0.0888584 0.0976775i
\(259\) −15.1360 + 2.09169i −0.940503 + 0.129971i
\(260\) 13.4817 + 11.6494i 0.836099 + 0.722462i
\(261\) −5.60463 19.2367i −0.346918 1.19072i
\(262\) −5.47490 3.89296i −0.338241 0.240508i
\(263\) −7.08483 12.2713i −0.436870 0.756680i 0.560577 0.828103i \(-0.310580\pi\)
−0.997446 + 0.0714223i \(0.977246\pi\)
\(264\) −8.49309 + 19.8896i −0.522714 + 1.22412i
\(265\) 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 \(-0.979209\pi\)
0.442407 0.896814i \(-0.354125\pi\)
\(270\) 8.43762 5.68061i 0.513497 0.345711i
\(271\) 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
\(273\) 29.4894 0.509500i 1.78478 0.0308363i
\(274\) −0.431765 + 0.197542i −0.0260839 + 0.0119339i
\(275\) −11.7907 6.80738i −0.711008 0.410500i
\(276\) 2.72419 + 12.5028i 0.163977 + 0.752577i
\(277\) 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 \(0.274964\pi\)
−0.649533 + 0.760333i \(0.725036\pi\)
\(282\) 2.36913 + 7.42042i 0.141080 + 0.441880i
\(283\) −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
\(285\) 7.56570 + 0.912634i 0.448153 + 0.0540598i
\(286\) 16.7174 + 36.5391i 0.988520 + 2.16060i
\(287\) 0.807861 + 1.03894i 0.0476865 + 0.0613266i
\(288\) 3.18901 16.6682i 0.187914 0.982185i
\(289\) −4.23726 + 7.33916i −0.249251 + 0.431715i
\(290\) −7.57635 + 10.6551i −0.444898 + 0.625688i
\(291\) 1.23915 1.65170i 0.0726403 0.0968244i
\(292\) 4.24937 + 12.2230i 0.248676 + 0.715298i
\(293\) 3.90464 0.228111 0.114056 0.993474i \(-0.463616\pi\)
0.114056 + 0.993474i \(0.463616\pi\)
\(294\) −9.44951 14.3076i −0.551107 0.834435i
\(295\) 10.5854i 0.616303i
\(296\) 11.2968 + 11.7986i 0.656613 + 0.685782i
\(297\) 22.6332 3.73282i 1.31331 0.216600i
\(298\) −1.69750 + 2.38730i −0.0983338 + 0.138293i
\(299\) 20.5892 + 11.8872i 1.19070 + 0.687453i
\(300\) 10.1772 + 3.24953i 0.587580 + 0.187612i
\(301\) −1.80854 + 1.40629i −0.104242 + 0.0810571i
\(302\) 30.0943 13.7688i 1.73173 0.792303i
\(303\) −3.56181 0.429654i −0.204621 0.0246830i
\(304\) 9.97228 7.88703i 0.571950 0.452352i
\(305\) 4.14317 2.39206i 0.237237 0.136969i
\(306\) 8.09915 + 9.37349i 0.462997 + 0.535847i
\(307\) −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 \(-0.818947\pi\)
−0.0451815 0.998979i \(-0.514387\pi\)
\(312\) −18.9213 25.2219i −1.07121 1.42791i
\(313\) 6.53063 11.3114i 0.369133 0.639357i −0.620297 0.784367i \(-0.712988\pi\)
0.989430 + 0.145010i \(0.0463213\pi\)
\(314\) −28.6987 + 13.1303i −1.61956 + 0.740984i
\(315\) −10.0281 + 4.48821i −0.565019 + 0.252882i
\(316\) −2.88451 2.49247i −0.162267 0.140212i
\(317\) −12.2315 + 21.1856i −0.686990 + 1.18990i 0.285817 + 0.958284i \(0.407735\pi\)
−0.972807 + 0.231618i \(0.925598\pi\)
\(318\) −19.7644 4.30686i −1.10833 0.241517i
\(319\) −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
\(324\) −16.7294 + 6.64295i −0.929408 + 0.369053i
\(325\) 17.1898 9.92452i 0.953517 0.550513i
\(326\) −13.9324 + 19.5940i −0.771646 + 1.08521i
\(327\) −0.343939 + 2.85124i −0.0190198 + 0.157674i
\(328\) 0.393578 1.35076i 0.0217317 0.0745834i
\(329\) −1.15175 8.33435i −0.0634981 0.459488i
\(330\) −11.0720 10.0723i −0.609493 0.554463i
\(331\) −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
\(333\) 4.11997 16.8287i 0.225773 0.922206i
\(334\) −33.6689 3.19150i −1.84228 0.174631i
\(335\) 9.32404 0.509427
\(336\) −6.47028 + 17.1504i −0.352983 + 0.935630i
\(337\) −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
\(339\) −22.7975 17.1033i −1.23819 0.928926i
\(340\) 1.51878 7.93925i 0.0823674 0.430566i
\(341\) 5.54563 9.60532i 0.300313 0.520157i
\(342\) −12.7376 4.42857i −0.688769 0.239469i
\(343\) 7.41581 + 16.9707i 0.400416 + 0.916334i
\(344\) 2.35135 + 0.685122i 0.126776 + 0.0369393i
\(345\) −8.79236 1.06060i −0.473365 0.0571010i
\(346\) 7.18630 10.1065i 0.386338 0.543331i
\(347\) 20.7411 11.9749i 1.11344 0.642846i 0.173723 0.984795i \(-0.444420\pi\)
0.939719 + 0.341949i \(0.111087\pi\)
\(348\) 17.1144 15.5685i 0.917430 0.834561i
\(349\) 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 −0.959536 0.281587i \(-0.909139\pi\)
−0.235907 + 0.971776i \(0.575806\pi\)
\(354\) 3.98832 18.3026i 0.211977 0.972771i
\(355\) 1.31800 2.28285i 0.0699524 0.121161i
\(356\) 14.3773 + 12.4233i 0.761998 + 0.658432i
\(357\) −6.88937 11.4705i −0.364624 0.607081i
\(358\) −7.82073 + 3.57815i −0.413338 + 0.189111i
\(359\) 14.1756 24.5529i 0.748162 1.29585i −0.200541 0.979685i \(-0.564270\pi\)
0.948703 0.316169i \(-0.102397\pi\)
\(360\) 10.1715 + 5.87283i 0.536087 + 0.309525i
\(361\) 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
\(366\) −8.06500 + 2.57493i −0.421564 + 0.134594i
\(367\) 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
\(369\) −1.43271 + 0.417421i −0.0745839 + 0.0217301i
\(370\) −10.2803 + 4.70347i −0.534449 + 0.244522i
\(371\) 20.2391 + 8.23139i 1.05076 + 0.427353i
\(372\) −2.64723 + 8.29084i −0.137253 + 0.429860i
\(373\) −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
\(375\) −11.6310 + 15.5034i −0.600625 + 0.800590i
\(376\) −6.49672 + 6.22039i −0.335043 + 0.320792i
\(377\) 42.9856i 2.21387i
\(378\) 19.0301 3.98198i 0.978802 0.204811i
\(379\) −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
\(381\) 3.20547 + 2.40483i 0.164221 + 0.123203i
\(382\) −1.24085 + 1.74509i −0.0634875 + 0.0892863i
\(383\) 5.47353 9.48043i 0.279684 0.484427i −0.691622 0.722260i \(-0.743104\pi\)
0.971306 + 0.237832i \(0.0764369\pi\)
\(384\) 18.9088 5.14355i 0.964937 0.262481i
\(385\) 9.92420 + 12.7629i 0.505784 + 0.650456i
\(386\) −9.38818 20.5197i −0.477846 1.04442i
\(387\) −0.726628 2.49400i −0.0369366 0.126777i
\(388\) 2.34182 + 0.447990i 0.118888 + 0.0227433i
\(389\) 9.51835 + 16.4863i 0.482600 + 0.835887i 0.999800 0.0199769i \(-0.00635927\pi\)
−0.517201 + 0.855864i \(0.673026\pi\)
\(390\) 20.7881 6.63706i 1.05265 0.336081i
\(391\) 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
\(396\) 15.3490 + 21.5872i 0.771314 + 1.08480i
\(397\) 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
\(399\) 12.7384 + 7.06399i 0.637720 + 0.353642i
\(400\) 1.78938 + 12.2056i 0.0894690 + 0.610281i
\(401\) 24.3528 + 14.0601i 1.21612 + 0.702128i 0.964086 0.265591i \(-0.0855670\pi\)
0.252035 + 0.967718i \(0.418900\pi\)
\(402\) −16.1217 3.51308i −0.804078 0.175217i
\(403\) 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
\(408\) −5.61737 + 13.1551i −0.278101 + 0.651274i
\(409\) 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
\(411\) −0.0696427 + 0.577335i −0.00343522 + 0.0284778i
\(412\) 8.38836 + 7.24827i 0.413265 + 0.357096i
\(413\) −7.62258 + 18.7422i −0.375083 + 0.922242i
\(414\) 14.8028 + 5.14659i 0.727518 + 0.252941i
\(415\) −8.39196 4.84510i −0.411945 0.237837i
\(416\) 16.5711 32.4182i 0.812466 1.58943i
\(417\) −9.72296 + 12.9600i −0.476135 + 0.634654i
\(418\) −1.87267 + 19.7558i −0.0915951 + 0.966289i
\(419\) 4.42222i 0.216040i 0.994149 + 0.108020i \(0.0344510\pi\)
−0.994149 + 0.108020i \(0.965549\pi\)
\(420\) −9.74100 8.12743i −0.475312 0.396578i
\(421\) 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
\(423\) 9.26642 + 2.26859i 0.450549 + 0.110303i
\(424\) −5.55382 22.6876i −0.269718 1.10181i
\(425\) −7.79844 4.50243i −0.378280 0.218400i
\(426\) −3.13902 + 3.45056i −0.152086 + 0.167180i
\(427\) 9.05832 1.25180i 0.438363 0.0605788i
\(428\) −9.04328 7.81418i −0.437124 0.377713i
\(429\) 48.8582 + 5.89367i 2.35890 + 0.284549i
\(430\) −0.982257 + 1.38141i −0.0473686 + 0.0666174i
\(431\) 8.76759 + 15.1859i 0.422320 + 0.731479i 0.996166 0.0874837i \(-0.0278826\pi\)
−0.573846 + 0.818963i \(0.694549\pi\)
\(432\) −15.3743 13.9868i −0.739697 0.672940i
\(433\) 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
\(438\) 15.4855 + 3.37446i 0.739928 + 0.161238i
\(439\) −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
\(441\) −20.9875 + 0.725433i −0.999403 + 0.0345444i
\(442\) 11.0569 + 24.1671i 0.525925 + 1.14951i
\(443\) −24.9578 14.4094i −1.18578 0.684611i −0.228436 0.973559i \(-0.573361\pi\)
−0.957345 + 0.288948i \(0.906695\pi\)
\(444\) 19.5473 4.25912i 0.927675 0.202129i
\(445\) −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 \(0.990443\pi\)
\(450\) 9.90056 8.55456i 0.466717 0.403266i
\(451\) 1.09797 + 1.90174i 0.0517015 + 0.0895496i
\(452\) 6.18337 32.3229i 0.290841 1.52034i
\(453\) 4.85413 40.2406i 0.228067 1.89067i
\(454\) 20.1886 9.23669i 0.947497 0.433499i
\(455\) −23.3485 + 3.22660i −1.09459 + 0.151265i
\(456\) −1.86453 15.4597i −0.0873145 0.723965i
\(457\) 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
\(459\) 14.9697 2.46890i 0.698726 0.115239i
\(460\) −3.35801 9.65908i −0.156568 0.450357i
\(461\) 27.1371 1.26390 0.631950 0.775009i \(-0.282255\pi\)
0.631950 + 0.775009i \(0.282255\pi\)
\(462\) −12.3506 25.8068i −0.574604 1.20064i
\(463\) 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
\(465\) −4.81822 3.61476i −0.223440 0.167631i
\(466\) 6.73248 + 4.78716i 0.311876 + 0.221761i
\(467\) −22.2686 12.8568i −1.03047 0.594940i −0.113349 0.993555i \(-0.536158\pi\)
−0.917118 + 0.398615i \(0.869491\pi\)
\(468\) −38.4443 + 3.64331i −1.77709 + 0.168412i
\(469\) 16.5089 + 6.71430i 0.762311 + 0.310038i
\(470\) −2.58988 5.66069i −0.119462 0.261108i
\(471\) −4.62904 + 38.3745i −0.213295 + 1.76820i
\(472\) 21.0096 5.14305i 0.967045 0.236728i
\(473\) −3.31047 + 1.91130i −0.152216 + 0.0878817i
\(474\) −4.44777 + 1.42005i −0.204293 + 0.0652251i
\(475\) 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 \(-0.232354\pi\)
−0.950101 + 0.311942i \(0.899021\pi\)
\(480\) −0.934918 + 13.5300i −0.0426730 + 0.617555i
\(481\) 18.5849 32.1900i 0.847399 1.46774i
\(482\) 14.9988 + 32.7828i 0.683176 + 1.49321i
\(483\) −14.8038 8.20932i −0.673596 0.373537i
\(484\) 11.1002 12.8462i 0.504554 0.583916i
\(485\) −0.825074 + 1.42907i −0.0374647 + 0.0648908i
\(486\) −3.75465 + 21.7233i −0.170315 + 0.985390i
\(487\) 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 \(-0.900796\pi\)
0.951826 0.306637i \(-0.0992039\pi\)
\(492\) −1.15951 1.27465i −0.0522749 0.0574656i
\(493\) −16.8885 + 9.75058i −0.760620 + 0.439144i
\(494\) −23.5783 16.7655i −1.06084 0.754314i
\(495\) −17.6002 + 5.12782i −0.791069 + 0.230479i
\(496\) −9.94331 + 1.45772i −0.446468 + 0.0654535i
\(497\) 3.97752 3.09286i 0.178416 0.138734i
\(498\) 12.6846 + 11.5393i 0.568409 + 0.517088i
\(499\) 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
\(501\) −24.8572 + 33.1329i −1.11054 + 1.48027i
\(502\) −0.148147 + 1.56288i −0.00661210 + 0.0697548i
\(503\) 24.5224 1.09340 0.546699 0.837329i \(-0.315884\pi\)
0.546699 + 0.837329i \(0.315884\pi\)
\(504\) 13.7804 + 17.7229i 0.613828 + 0.789440i
\(505\) 2.86710 0.127584
\(506\) 2.17629 22.9589i 0.0967480 1.02065i
\(507\) −29.5440 + 39.3800i −1.31209 + 1.74893i
\(508\) −0.869418 + 4.54478i −0.0385742 + 0.201642i
\(509\) −21.4381 + 37.1319i −0.950226 + 1.64584i −0.205294 + 0.978700i \(0.565815\pi\)
−0.744932 + 0.667140i \(0.767518\pi\)
\(510\) −7.32305 6.66187i −0.324270 0.294993i
\(511\) −15.8575 6.44936i −0.701494 0.285303i
\(512\) 14.9240 + 17.0081i 0.659552 + 0.751659i
\(513\) −12.7690 + 10.4756i −0.563766 + 0.462511i
\(514\) −16.0907 11.4414i −0.709732 0.504659i
\(515\) −6.64470 + 3.83632i −0.292800 + 0.169048i
\(516\) 2.21885 2.01843i 0.0976795 0.0888563i
\(517\) 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 \(-0.653925\pi\)
0.534257 + 0.845322i \(0.320591\pi\)
\(522\) −5.32352 27.8314i −0.233004 1.21815i
\(523\) 12.7145 22.0222i 0.555966 0.962962i −0.441861 0.897083i \(-0.645682\pi\)
0.997828 0.0658788i \(-0.0209851\pi\)
\(524\) −7.18859 6.21156i −0.314035 0.271353i
\(525\) −12.1154 + 7.27676i −0.528761 + 0.317584i
\(526\) −8.33708 18.2223i −0.363514 0.794530i
\(527\) 3.66790 6.35300i 0.159776 0.276741i
\(528\) −14.6118 + 26.8692i −0.635899 + 1.16933i
\(529\) 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
\(534\) 22.1691 7.07799i 0.959352 0.306294i
\(535\) 7.16348 4.13584i 0.309704 0.178808i
\(536\) −4.53022 18.5062i −0.195676 0.799345i
\(537\) −1.26147 + 10.4575i −0.0544362 + 0.451274i
\(538\) −10.7205 23.4317i −0.462192 1.01021i
\(539\) 8.38092 + 29.7441i 0.360992 + 1.28117i
\(540\) 12.6375 6.87170i 0.543829 0.295711i
\(541\) −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
\(543\) 16.0463 + 12.0383i 0.688611 + 0.516615i
\(544\) −16.4956 + 0.842959i −0.707243 + 0.0361416i
\(545\) 2.29512i 0.0983119i
\(546\) 41.5863 + 3.21822i 1.77973 + 0.137727i
\(547\) 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
\(549\) −2.46565 + 10.0714i −0.105231 + 0.429835i
\(550\) −15.6917 11.1577i −0.669097 0.475765i
\(551\) 10.6145 18.3849i 0.452195 0.783224i
\(552\) 2.16683 + 17.9662i 0.0922265 + 0.764693i
\(553\) 4.99558 0.690356i 0.212434 0.0293569i
\(554\) 24.1782 11.0620i 1.02723 0.469981i
\(555\) −1.65819 + 13.7464i −0.0703864 + 0.583500i
\(556\) −18.3750 3.51514i −0.779274 0.149075i
\(557\) −15.9928 27.7003i −0.677635 1.17370i −0.975691 0.219151i \(-0.929671\pi\)
0.298056 0.954549i \(-0.403662\pi\)
\(558\) 6.96897 + 8.06549i 0.295020 + 0.341439i
\(559\) 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 \(-0.391620\pi\)
0.983281 + 0.182092i \(0.0582870\pi\)
\(564\) 2.34521 + 10.7634i 0.0987512 + 0.453221i
\(565\) 19.7247 + 11.3881i 0.829825 + 0.479100i
\(566\) −7.08224 15.4796i −0.297689 0.650656i
\(567\) 8.00527 22.4258i 0.336190 0.941794i
\(568\) −5.17133 1.50679i −0.216984 0.0632236i
\(569\) −23.5336 13.5871i −0.986579 0.569601i −0.0823288 0.996605i \(-0.526236\pi\)
−0.904250 + 0.427004i \(0.859569\pi\)
\(570\) 10.5300 + 2.29459i 0.441052 + 0.0961097i
\(571\) −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
\(576\) 6.71429 23.0417i 0.279762 0.960069i
\(577\) −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
\(579\) −27.4379 3.30978i −1.14028 0.137550i
\(580\) −12.0887 + 13.9902i −0.501958 + 0.580912i
\(581\) −11.3696 14.6217i −0.471691 0.606611i
\(582\) 1.96503 2.16006i 0.0814532 0.0895374i
\(583\) 31.5722 + 18.2282i 1.30759 + 0.754935i
\(584\) 4.35146 + 17.7759i 0.180065 + 0.735573i
\(585\) 6.35539 25.9596i 0.262763 1.07330i
\(586\) 5.49735 + 0.521097i 0.227093 + 0.0215263i
\(587\) 0.964880i 0.0398249i 0.999802 + 0.0199124i \(0.00633874\pi\)
−0.999802 + 0.0199124i \(0.993661\pi\)
\(588\) −11.3946 21.4048i −0.469904 0.882718i
\(589\) 7.98581i 0.329050i
\(590\) −1.41268 + 14.9031i −0.0581591 + 0.613553i
\(591\) −1.00099 + 1.33425i −0.0411752 + 0.0548837i
\(592\) 14.3302 + 18.1190i 0.588967 + 0.744684i
\(593\) −14.9519 8.63251i −0.614003 0.354495i 0.160528 0.987031i \(-0.448680\pi\)
−0.774530 + 0.632537i \(0.782014\pi\)
\(594\) 32.3636 2.23491i 1.32789 0.0916994i
\(595\) 6.56390 + 8.44141i 0.269094 + 0.346064i
\(596\) −2.70852 + 3.13455i −0.110945 + 0.128396i
\(597\) −0.413395 + 3.42702i −0.0169191 + 0.140259i
\(598\) 27.4012 + 19.4837i 1.12052 + 0.796749i
\(599\) 6.22127 + 10.7756i 0.254194 + 0.440277i 0.964676 0.263438i \(-0.0848565\pi\)
−0.710482 + 0.703715i \(0.751523\pi\)
\(600\) 13.8948 + 5.93323i 0.567253 + 0.242223i
\(601\) −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
\(606\) −4.95735 1.08026i −0.201378 0.0438824i
\(607\) 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
\(609\) 0.528717 + 30.6017i 0.0214247 + 1.24004i
\(610\) 6.15241 2.81486i 0.249104 0.113970i
\(611\) 17.7249 + 10.2335i 0.717072 + 0.414002i
\(612\) 10.1519 + 14.2778i 0.410365 + 0.577147i
\(613\) −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 \(0.224949\pi\)
−0.760509 + 0.649327i \(0.775051\pi\)
\(618\) 12.9344 4.12960i 0.520299 0.166117i
\(619\) 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
\(621\) 14.8393 12.1741i 0.595482 0.488531i
\(622\) −18.4224 40.2657i −0.738671 1.61451i
\(623\) −24.8996 + 3.44096i −0.997581 + 0.137859i
\(624\) −23.2733 38.0351i −0.931678 1.52262i
\(625\) 0.0343418 0.0594818i 0.00137367 0.00237927i
\(626\) 10.7041 15.0538i 0.427820 0.601670i
\(627\) 19.4413 + 14.5854i 0.776411 + 0.582485i
\(628\) −42.1573 + 14.6561i −1.68226 + 0.584843i
\(629\) −16.8627 −0.672361
\(630\) −14.7175 + 4.98066i −0.586361 + 0.198434i
\(631\) 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
\(633\) 22.3027 29.7280i 0.886455 1.18158i
\(634\) −20.0481 + 28.1949i −0.796213 + 1.11976i
\(635\) −2.77341 1.60123i −0.110059 0.0635428i
\(636\) −27.2516 8.70132i −1.08059 0.345030i
\(637\) −43.6637 11.1004i −1.73002 0.439815i
\(638\) −37.9173 + 17.3479i −1.50116 + 0.686811i
\(639\) 1.59808 + 5.48506i 0.0632189 + 0.216986i
\(640\) −14.5102 + 5.89066i −0.573565 + 0.232849i
\(641\) 34.2214 19.7578i 1.35167 0.780384i 0.363183 0.931718i \(-0.381690\pi\)
0.988483 + 0.151334i \(0.0483568\pi\)
\(642\) −13.9443 + 4.45202i −0.550337 + 0.175707i
\(643\) 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 \(0.213041\pi\)
0.145174 + 0.989406i \(0.453626\pi\)
\(648\) −24.4398 + 7.11999i −0.960088 + 0.279700i
\(649\) −16.8800 + 29.2370i −0.662598 + 1.14765i
\(650\) 25.5260 11.6787i 1.00121 0.458075i
\(651\) −5.92802 9.86985i −0.232337 0.386830i
\(652\) −22.2305 + 25.7271i −0.870612 + 1.00755i
\(653\) 14.1939 24.5845i 0.555449 0.962067i −0.442419 0.896808i \(-0.645880\pi\)
0.997868 0.0652581i \(-0.0207871\pi\)
\(654\) −0.864746 + 3.96836i −0.0338143 + 0.155175i
\(655\) 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 \(-0.0222570\pi\)
\(660\) −14.2441 15.6585i −0.554449 0.609505i
\(661\) −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
\(663\) 32.3150 + 3.89810i 1.25501 + 0.151390i
\(664\) −5.53910 + 19.0103i −0.214959 + 0.737741i
\(665\) −10.7829 4.38548i −0.418142 0.170062i
\(666\) 8.04640 23.1433i 0.311792 0.896785i
\(667\) −12.3355 + 21.3658i −0.477634 + 0.827286i
\(668\) −46.9766 8.98663i −1.81758 0.347703i
\(669\) 16.8944 + 12.6747i 0.653176 + 0.490030i
\(670\) 13.1273 + 1.24435i 0.507154 + 0.0480734i
\(671\) 15.2581 0.589031
\(672\) −11.3983 + 23.2826i −0.439701 + 0.898144i
\(673\) 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
\(675\) −2.60773 15.8115i −0.100372 0.608583i
\(676\) −55.8339 10.6810i −2.14746 0.410809i
\(677\) 2.84885 4.93435i 0.109490 0.189642i −0.806074 0.591815i \(-0.798412\pi\)
0.915564 + 0.402173i \(0.131745\pi\)
\(678\) −29.8142 27.1223i −1.14501 1.04163i
\(679\) −2.48994 + 1.93614i −0.0955551 + 0.0743021i
\(680\) 3.19783 10.9750i 0.122631 0.420872i
\(681\) 3.25637 26.9952i 0.124784 1.03446i
\(682\) 9.08960 12.7833i 0.348059 0.489496i
\(683\) −19.9548 + 11.5209i −0.763551 + 0.440836i −0.830569 0.556915i \(-0.811985\pi\)
0.0670183 + 0.997752i \(0.478651\pi\)
\(684\) −17.3423 7.93490i −0.663098 0.303398i
\(685\) 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
\(690\) −12.2372 2.66662i −0.465864 0.101517i
\(691\) −18.0614 + 31.2833i −0.687090 + 1.19007i 0.285686 + 0.958323i \(0.407779\pi\)
−0.972775 + 0.231751i \(0.925555\pi\)
\(692\) 11.4664 13.2700i 0.435887 0.504448i
\(693\) −34.8550 3.59479i −1.32403 0.136555i
\(694\) 30.7996 14.0915i 1.16914 0.534904i
\(695\) 6.47392 11.2132i 0.245570 0.425339i
\(696\) 26.1732 19.6350i 0.992092 0.744261i
\(697\) 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 \(-0.690752\pi\)
−0.564035 + 0.825751i \(0.690752\pi\)
\(702\) −20.7697 + 42.4908i −0.783904 + 1.60371i
\(703\) 15.8975 9.17844i 0.599586 0.346171i
\(704\) −35.2835 1.53406i −1.32980 0.0578169i
\(705\) −7.56919 0.913056i −0.285072 0.0343877i
\(706\) −33.3525 + 15.2595i −1.25524 + 0.574298i
\(707\) 5.07641 + 2.06461i 0.190918 + 0.0776478i
\(708\) 8.05775 25.2360i 0.302829 0.948426i
\(709\) 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
\(711\) −1.35978 + 5.55426i −0.0509959 + 0.208301i
\(712\) 18.5839 + 19.4095i 0.696462 + 0.727401i
\(713\) 9.28059i 0.347561i
\(714\) −8.16877 17.0687i −0.305708 0.638781i
\(715\) −39.3287 −1.47081
\(716\) −11.4883 + 3.99396i −0.429340 + 0.149261i
\(717\) 23.5090 31.3358i 0.877958 1.17026i
\(718\) 23.2347 32.6763i 0.867109 1.21947i
\(719\) 8.31324 14.3990i 0.310032 0.536991i −0.668337 0.743858i \(-0.732994\pi\)
0.978369 + 0.206868i \(0.0663270\pi\)
\(720\) 13.5368 + 9.62583i 0.504486 + 0.358733i
\(721\) −14.5275 + 2.00760i −0.541032 + 0.0747670i
\(722\) 5.23464 + 11.4413i 0.194813 + 0.425801i
\(723\) 43.8355 + 5.28778i 1.63026 + 0.196655i
\(724\) −4.35222 + 22.7507i −0.161749 + 0.845525i
\(725\) 10.2989 + 17.8381i 0.382490 + 0.662492i
\(726\) −6.32418 19.8081i −0.234712 0.735148i
\(727\) 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
\(732\) −11.6984 + 2.54893i −0.432384 + 0.0942111i
\(733\) −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
\(735\) 16.5822 2.58422i 0.611645 0.0953204i
\(736\) −17.5396 + 11.3579i −0.646519 + 0.418658i
\(737\) 25.7533 + 14.8687i 0.948634 + 0.547694i
\(738\) −2.07282 + 0.396485i −0.0763017 + 0.0145948i
\(739\) 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 \(-0.337810\pi\)
0.487772 + 0.872971i \(0.337810\pi\)
\(744\) −4.83351 + 11.3194i −0.177205 + 0.414989i
\(745\) −1.43355 2.48298i −0.0525212 0.0909693i
\(746\) −17.8785 12.7126i −0.654578 0.465441i
\(747\) 20.1635 5.87467i 0.737746 0.214943i
\(748\) 16.8553 19.5065i 0.616291 0.713228i
\(749\) 15.6617 2.16435i 0.572267 0.0790835i
\(750\) −18.4444 + 20.2750i −0.673494 + 0.740338i
\(751\) 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
\(753\) 1.53800 + 1.15385i 0.0560479 + 0.0420487i
\(754\) 5.73668 60.5195i 0.208918 2.20399i
\(755\) 32.3918i 1.17886i
\(756\) 27.3239 3.06656i 0.993761 0.111530i
\(757\) 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
\(759\) −22.5934 16.9502i −0.820090 0.615254i
\(760\) 2.95894 + 12.0874i 0.107332 + 0.438456i
\(761\) 46.8523 + 27.0502i 1.69840 + 0.980569i 0.947285 + 0.320393i \(0.103815\pi\)
0.751111 + 0.660176i \(0.229518\pi\)
\(762\) 4.19204 + 3.81355i 0.151862 + 0.138150i
\(763\) 1.65273 4.06367i 0.0598327 0.147115i
\(764\) −1.97989 + 2.29131i −0.0716299 + 0.0828967i
\(765\) −11.6408 + 3.39156i −0.420875 + 0.122622i
\(766\) 8.97142 12.6170i 0.324150 0.455872i
\(767\) −24.6095 42.6248i −0.888596 1.53909i
\(768\) 27.3082 4.71812i 0.985401 0.170251i
\(769\) −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 −0.977091 &mi