Properties

Label 570.2.u.b.541.1
Level $570$
Weight $2$
Character 570.541
Analytic conductor $4.551$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.u (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{18})\)
Defining polynomial: \(x^{6} - x^{3} + 1\)
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 541.1
Root \(-0.766044 + 0.642788i\) of defining polynomial
Character \(\chi\) \(=\) 570.541
Dual form 570.2.u.b.511.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.173648 - 0.984808i) q^{2} +(0.766044 - 0.642788i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.939693 + 0.342020i) q^{5} +(-0.766044 - 0.642788i) q^{6} +(-1.59240 + 2.75811i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.173648 - 0.984808i) q^{9} +O(q^{10})\) \(q+(-0.173648 - 0.984808i) q^{2} +(0.766044 - 0.642788i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.939693 + 0.342020i) q^{5} +(-0.766044 - 0.642788i) q^{6} +(-1.59240 + 2.75811i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.173648 - 0.984808i) q^{9} +(0.173648 - 0.984808i) q^{10} +(2.17365 + 3.76487i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(3.83022 + 3.21394i) q^{13} +(2.99273 + 1.08926i) q^{14} +(0.939693 - 0.342020i) q^{15} +(0.766044 - 0.642788i) q^{16} +(0.162504 + 0.921605i) q^{17} -1.00000 q^{18} +(-2.82635 - 3.31839i) q^{19} -1.00000 q^{20} +(0.553033 + 3.13641i) q^{21} +(3.33022 - 2.79439i) q^{22} +(5.97178 - 2.17355i) q^{23} +(0.939693 + 0.342020i) q^{24} +(0.766044 + 0.642788i) q^{25} +(2.50000 - 4.33013i) q^{26} +(-0.500000 - 0.866025i) q^{27} +(0.553033 - 3.13641i) q^{28} +(-0.879385 + 4.98724i) q^{29} +(-0.500000 - 0.866025i) q^{30} +(2.57398 - 4.45826i) q^{31} +(-0.766044 - 0.642788i) q^{32} +(4.08512 + 1.48686i) q^{33} +(0.879385 - 0.320070i) q^{34} +(-2.43969 + 2.04715i) q^{35} +(0.173648 + 0.984808i) q^{36} -1.98545 q^{37} +(-2.77719 + 3.35965i) q^{38} +5.00000 q^{39} +(0.173648 + 0.984808i) q^{40} +(-8.08899 + 6.78747i) q^{41} +(2.99273 - 1.08926i) q^{42} +(-4.10607 - 1.49449i) q^{43} +(-3.33022 - 2.79439i) q^{44} +(0.500000 - 0.866025i) q^{45} +(-3.17752 - 5.50362i) q^{46} +(1.59967 - 9.07218i) q^{47} +(0.173648 - 0.984808i) q^{48} +(-1.57145 - 2.72183i) q^{49} +(0.500000 - 0.866025i) q^{50} +(0.716881 + 0.601535i) q^{51} +(-4.69846 - 1.71010i) q^{52} +(4.41875 - 1.60829i) q^{53} +(-0.766044 + 0.642788i) q^{54} +(0.754900 + 4.28125i) q^{55} -3.18479 q^{56} +(-4.29813 - 0.725293i) q^{57} +5.06418 q^{58} +(2.31655 + 13.1378i) q^{59} +(-0.766044 + 0.642788i) q^{60} +(8.21213 - 2.98897i) q^{61} +(-4.83750 - 1.76070i) q^{62} +(2.43969 + 2.04715i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(2.50000 + 4.33013i) q^{65} +(0.754900 - 4.28125i) q^{66} +(2.71688 - 15.4082i) q^{67} +(-0.467911 - 0.810446i) q^{68} +(3.17752 - 5.50362i) q^{69} +(2.43969 + 2.04715i) q^{70} +(-10.5963 - 3.85673i) q^{71} +(0.939693 - 0.342020i) q^{72} +(12.7023 - 10.6585i) q^{73} +(0.344770 + 1.95529i) q^{74} +1.00000 q^{75} +(3.79086 + 2.15160i) q^{76} -13.8452 q^{77} +(-0.868241 - 4.92404i) q^{78} +(-6.69459 + 5.61743i) q^{79} +(0.939693 - 0.342020i) q^{80} +(-0.939693 - 0.342020i) q^{81} +(8.08899 + 6.78747i) q^{82} +(-2.22668 + 3.85673i) q^{83} +(-1.59240 - 2.75811i) q^{84} +(-0.162504 + 0.921605i) q^{85} +(-0.758770 + 4.30320i) q^{86} +(2.53209 + 4.38571i) q^{87} +(-2.17365 + 3.76487i) q^{88} +(9.21554 + 7.73275i) q^{89} +(-0.939693 - 0.342020i) q^{90} +(-14.9636 + 5.44632i) q^{91} +(-4.86824 + 4.08494i) q^{92} +(-0.893933 - 5.06975i) q^{93} -9.21213 q^{94} +(-1.52094 - 4.08494i) q^{95} -1.00000 q^{96} +(2.05644 + 11.6626i) q^{97} +(-2.40760 + 2.02022i) q^{98} +(4.08512 - 1.48686i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q - 6q^{7} + 3q^{8} + O(q^{10}) \) \( 6q - 6q^{7} + 3q^{8} + 12q^{11} - 3q^{12} + 6q^{17} - 6q^{18} - 18q^{19} - 6q^{20} - 9q^{21} - 3q^{22} + 21q^{23} + 15q^{26} - 3q^{27} - 9q^{28} + 6q^{29} - 3q^{30} + 3q^{33} - 6q^{34} - 9q^{35} + 24q^{37} - 6q^{38} + 30q^{39} - 3q^{41} + 3q^{44} + 3q^{45} + 6q^{46} + 24q^{47} - 9q^{49} + 3q^{50} - 12q^{51} + 24q^{53} + 6q^{55} - 12q^{56} - 12q^{57} + 12q^{58} + 12q^{59} - 24q^{62} + 9q^{63} - 3q^{64} + 15q^{65} + 6q^{66} - 12q^{68} - 6q^{69} + 9q^{70} - 36q^{71} + 24q^{73} + 15q^{74} + 6q^{75} - 9q^{76} - 30q^{77} - 36q^{79} + 3q^{82} - 6q^{84} - 6q^{85} + 18q^{86} + 6q^{87} - 12q^{88} + 48q^{89} - 24q^{92} - 30q^{93} - 6q^{94} - 6q^{95} - 6q^{96} + 42q^{97} - 18q^{98} + 3q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(1\) \(e\left(\frac{4}{9}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.173648 0.984808i −0.122788 0.696364i
\(3\) 0.766044 0.642788i 0.442276 0.371114i
\(4\) −0.939693 + 0.342020i −0.469846 + 0.171010i
\(5\) 0.939693 + 0.342020i 0.420243 + 0.152956i
\(6\) −0.766044 0.642788i −0.312736 0.262417i
\(7\) −1.59240 + 2.75811i −0.601869 + 1.04247i 0.390669 + 0.920531i \(0.372244\pi\)
−0.992538 + 0.121937i \(0.961090\pi\)
\(8\) 0.500000 + 0.866025i 0.176777 + 0.306186i
\(9\) 0.173648 0.984808i 0.0578827 0.328269i
\(10\) 0.173648 0.984808i 0.0549124 0.311424i
\(11\) 2.17365 + 3.76487i 0.655380 + 1.13515i 0.981798 + 0.189926i \(0.0608247\pi\)
−0.326419 + 0.945225i \(0.605842\pi\)
\(12\) −0.500000 + 0.866025i −0.144338 + 0.250000i
\(13\) 3.83022 + 3.21394i 1.06231 + 0.891386i 0.994334 0.106301i \(-0.0339006\pi\)
0.0679785 + 0.997687i \(0.478345\pi\)
\(14\) 2.99273 + 1.08926i 0.799840 + 0.291118i
\(15\) 0.939693 0.342020i 0.242628 0.0883092i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) 0.162504 + 0.921605i 0.0394130 + 0.223522i 0.998152 0.0607653i \(-0.0193541\pi\)
−0.958739 + 0.284287i \(0.908243\pi\)
\(18\) −1.00000 −0.235702
\(19\) −2.82635 3.31839i −0.648410 0.761292i
\(20\) −1.00000 −0.223607
\(21\) 0.553033 + 3.13641i 0.120682 + 0.684420i
\(22\) 3.33022 2.79439i 0.710006 0.595766i
\(23\) 5.97178 2.17355i 1.24520 0.453217i 0.366425 0.930448i \(-0.380582\pi\)
0.878778 + 0.477231i \(0.158360\pi\)
\(24\) 0.939693 + 0.342020i 0.191814 + 0.0698146i
\(25\) 0.766044 + 0.642788i 0.153209 + 0.128558i
\(26\) 2.50000 4.33013i 0.490290 0.849208i
\(27\) −0.500000 0.866025i −0.0962250 0.166667i
\(28\) 0.553033 3.13641i 0.104513 0.592725i
\(29\) −0.879385 + 4.98724i −0.163298 + 0.926108i 0.787504 + 0.616309i \(0.211373\pi\)
−0.950802 + 0.309799i \(0.899738\pi\)
\(30\) −0.500000 0.866025i −0.0912871 0.158114i
\(31\) 2.57398 4.45826i 0.462300 0.800727i −0.536775 0.843725i \(-0.680358\pi\)
0.999075 + 0.0429981i \(0.0136910\pi\)
\(32\) −0.766044 0.642788i −0.135419 0.113630i
\(33\) 4.08512 + 1.48686i 0.711129 + 0.258830i
\(34\) 0.879385 0.320070i 0.150813 0.0548916i
\(35\) −2.43969 + 2.04715i −0.412383 + 0.346031i
\(36\) 0.173648 + 0.984808i 0.0289414 + 0.164135i
\(37\) −1.98545 −0.326406 −0.163203 0.986592i \(-0.552183\pi\)
−0.163203 + 0.986592i \(0.552183\pi\)
\(38\) −2.77719 + 3.35965i −0.450520 + 0.545007i
\(39\) 5.00000 0.800641
\(40\) 0.173648 + 0.984808i 0.0274562 + 0.155712i
\(41\) −8.08899 + 6.78747i −1.26329 + 1.06002i −0.267965 + 0.963429i \(0.586351\pi\)
−0.995324 + 0.0965961i \(0.969204\pi\)
\(42\) 2.99273 1.08926i 0.461788 0.168077i
\(43\) −4.10607 1.49449i −0.626169 0.227907i 0.00939383 0.999956i \(-0.497010\pi\)
−0.635563 + 0.772049i \(0.719232\pi\)
\(44\) −3.33022 2.79439i −0.502050 0.421270i
\(45\) 0.500000 0.866025i 0.0745356 0.129099i
\(46\) −3.17752 5.50362i −0.468500 0.811465i
\(47\) 1.59967 9.07218i 0.233336 1.32331i −0.612754 0.790274i \(-0.709938\pi\)
0.846090 0.533040i \(-0.178950\pi\)
\(48\) 0.173648 0.984808i 0.0250640 0.142145i
\(49\) −1.57145 2.72183i −0.224493 0.388833i
\(50\) 0.500000 0.866025i 0.0707107 0.122474i
\(51\) 0.716881 + 0.601535i 0.100383 + 0.0842317i
\(52\) −4.69846 1.71010i −0.651560 0.237148i
\(53\) 4.41875 1.60829i 0.606962 0.220916i −0.0202116 0.999796i \(-0.506434\pi\)
0.627173 + 0.778880i \(0.284212\pi\)
\(54\) −0.766044 + 0.642788i −0.104245 + 0.0874723i
\(55\) 0.754900 + 4.28125i 0.101791 + 0.577284i
\(56\) −3.18479 −0.425586
\(57\) −4.29813 0.725293i −0.569302 0.0960674i
\(58\) 5.06418 0.664959
\(59\) 2.31655 + 13.1378i 0.301589 + 1.71040i 0.639140 + 0.769091i \(0.279291\pi\)
−0.337550 + 0.941307i \(0.609598\pi\)
\(60\) −0.766044 + 0.642788i −0.0988959 + 0.0829835i
\(61\) 8.21213 2.98897i 1.05146 0.382699i 0.242244 0.970215i \(-0.422117\pi\)
0.809212 + 0.587517i \(0.199894\pi\)
\(62\) −4.83750 1.76070i −0.614363 0.223610i
\(63\) 2.43969 + 2.04715i 0.307372 + 0.257916i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 2.50000 + 4.33013i 0.310087 + 0.537086i
\(66\) 0.754900 4.28125i 0.0929218 0.526986i
\(67\) 2.71688 15.4082i 0.331920 1.88241i −0.123830 0.992303i \(-0.539518\pi\)
0.455750 0.890108i \(-0.349371\pi\)
\(68\) −0.467911 0.810446i −0.0567426 0.0982810i
\(69\) 3.17752 5.50362i 0.382528 0.662558i
\(70\) 2.43969 + 2.04715i 0.291599 + 0.244681i
\(71\) −10.5963 3.85673i −1.25755 0.457709i −0.374601 0.927186i \(-0.622220\pi\)
−0.882945 + 0.469477i \(0.844442\pi\)
\(72\) 0.939693 0.342020i 0.110744 0.0403075i
\(73\) 12.7023 10.6585i 1.48670 1.24749i 0.588039 0.808832i \(-0.299900\pi\)
0.898656 0.438654i \(-0.144544\pi\)
\(74\) 0.344770 + 1.95529i 0.0400787 + 0.227298i
\(75\) 1.00000 0.115470
\(76\) 3.79086 + 2.15160i 0.434841 + 0.246806i
\(77\) −13.8452 −1.57781
\(78\) −0.868241 4.92404i −0.0983089 0.557538i
\(79\) −6.69459 + 5.61743i −0.753201 + 0.632010i −0.936347 0.351075i \(-0.885816\pi\)
0.183147 + 0.983086i \(0.441372\pi\)
\(80\) 0.939693 0.342020i 0.105061 0.0382390i
\(81\) −0.939693 0.342020i −0.104410 0.0380022i
\(82\) 8.08899 + 6.78747i 0.893280 + 0.749551i
\(83\) −2.22668 + 3.85673i −0.244410 + 0.423331i −0.961966 0.273171i \(-0.911928\pi\)
0.717556 + 0.696501i \(0.245261\pi\)
\(84\) −1.59240 2.75811i −0.173745 0.300935i
\(85\) −0.162504 + 0.921605i −0.0176260 + 0.0999621i
\(86\) −0.758770 + 4.30320i −0.0818203 + 0.464026i
\(87\) 2.53209 + 4.38571i 0.271468 + 0.470197i
\(88\) −2.17365 + 3.76487i −0.231712 + 0.401336i
\(89\) 9.21554 + 7.73275i 0.976845 + 0.819670i 0.983610 0.180307i \(-0.0577091\pi\)
−0.00676542 + 0.999977i \(0.502154\pi\)
\(90\) −0.939693 0.342020i −0.0990523 0.0360521i
\(91\) −14.9636 + 5.44632i −1.56861 + 0.570929i
\(92\) −4.86824 + 4.08494i −0.507549 + 0.425884i
\(93\) −0.893933 5.06975i −0.0926966 0.525708i
\(94\) −9.21213 −0.950159
\(95\) −1.52094 4.08494i −0.156046 0.419106i
\(96\) −1.00000 −0.102062
\(97\) 2.05644 + 11.6626i 0.208800 + 1.18416i 0.891348 + 0.453320i \(0.149761\pi\)
−0.682548 + 0.730841i \(0.739128\pi\)
\(98\) −2.40760 + 2.02022i −0.243205 + 0.204073i
\(99\) 4.08512 1.48686i 0.410570 0.149435i
\(100\) −0.939693 0.342020i −0.0939693 0.0342020i
\(101\) −4.84524 4.06564i −0.482119 0.404546i 0.369073 0.929400i \(-0.379675\pi\)
−0.851192 + 0.524855i \(0.824120\pi\)
\(102\) 0.467911 0.810446i 0.0463301 0.0802461i
\(103\) −6.65657 11.5295i −0.655892 1.13604i −0.981669 0.190591i \(-0.938959\pi\)
0.325778 0.945446i \(-0.394374\pi\)
\(104\) −0.868241 + 4.92404i −0.0851380 + 0.482842i
\(105\) −0.553033 + 3.13641i −0.0539705 + 0.306082i
\(106\) −2.35117 4.07234i −0.228366 0.395541i
\(107\) −6.00000 + 10.3923i −0.580042 + 1.00466i 0.415432 + 0.909624i \(0.363630\pi\)
−0.995474 + 0.0950377i \(0.969703\pi\)
\(108\) 0.766044 + 0.642788i 0.0737127 + 0.0618523i
\(109\) −8.59627 3.12879i −0.823373 0.299683i −0.104237 0.994552i \(-0.533240\pi\)
−0.719136 + 0.694869i \(0.755462\pi\)
\(110\) 4.08512 1.48686i 0.389501 0.141767i
\(111\) −1.52094 + 1.27622i −0.144362 + 0.121134i
\(112\) 0.553033 + 3.13641i 0.0522567 + 0.296363i
\(113\) 9.19253 0.864761 0.432380 0.901691i \(-0.357674\pi\)
0.432380 + 0.901691i \(0.357674\pi\)
\(114\) 0.0320889 + 4.35878i 0.00300540 + 0.408237i
\(115\) 6.35504 0.592610
\(116\) −0.879385 4.98724i −0.0816489 0.463054i
\(117\) 3.83022 3.21394i 0.354104 0.297129i
\(118\) 12.5360 4.56272i 1.15403 0.420032i
\(119\) −2.80066 1.01936i −0.256736 0.0934443i
\(120\) 0.766044 + 0.642788i 0.0699300 + 0.0586782i
\(121\) −3.94949 + 6.84072i −0.359045 + 0.621884i
\(122\) −4.36959 7.56834i −0.395604 0.685206i
\(123\) −1.83363 + 10.3990i −0.165332 + 0.937647i
\(124\) −0.893933 + 5.06975i −0.0802776 + 0.455277i
\(125\) 0.500000 + 0.866025i 0.0447214 + 0.0774597i
\(126\) 1.59240 2.75811i 0.141862 0.245712i
\(127\) −0.804063 0.674689i −0.0713491 0.0598690i 0.606416 0.795148i \(-0.292607\pi\)
−0.677765 + 0.735279i \(0.737051\pi\)
\(128\) 0.939693 + 0.342020i 0.0830579 + 0.0302306i
\(129\) −4.10607 + 1.49449i −0.361519 + 0.131582i
\(130\) 3.83022 3.21394i 0.335933 0.281881i
\(131\) −0.0444153 0.251892i −0.00388058 0.0220079i 0.982806 0.184641i \(-0.0591123\pi\)
−0.986687 + 0.162633i \(0.948001\pi\)
\(132\) −4.34730 −0.378384
\(133\) 13.6532 2.51120i 1.18388 0.217748i
\(134\) −15.6459 −1.35160
\(135\) −0.173648 0.984808i −0.0149453 0.0847588i
\(136\) −0.716881 + 0.601535i −0.0614721 + 0.0515812i
\(137\) 11.2071 4.07904i 0.957486 0.348496i 0.184438 0.982844i \(-0.440954\pi\)
0.773048 + 0.634348i \(0.218731\pi\)
\(138\) −5.97178 2.17355i −0.508352 0.185025i
\(139\) −12.4042 10.4084i −1.05211 0.882826i −0.0587966 0.998270i \(-0.518726\pi\)
−0.993314 + 0.115444i \(0.963171\pi\)
\(140\) 1.59240 2.75811i 0.134582 0.233103i
\(141\) −4.60607 7.97794i −0.387901 0.671864i
\(142\) −1.95811 + 11.1050i −0.164321 + 0.931911i
\(143\) −3.77450 + 21.4063i −0.315640 + 1.79008i
\(144\) −0.500000 0.866025i −0.0416667 0.0721688i
\(145\) −2.53209 + 4.38571i −0.210279 + 0.364213i
\(146\) −12.7023 10.6585i −1.05125 0.882106i
\(147\) −2.95336 1.07494i −0.243589 0.0886593i
\(148\) 1.86571 0.679065i 0.153361 0.0558188i
\(149\) −1.90167 + 1.59569i −0.155791 + 0.130724i −0.717351 0.696712i \(-0.754646\pi\)
0.561560 + 0.827436i \(0.310201\pi\)
\(150\) −0.173648 0.984808i −0.0141783 0.0804092i
\(151\) −4.28581 −0.348774 −0.174387 0.984677i \(-0.555794\pi\)
−0.174387 + 0.984677i \(0.555794\pi\)
\(152\) 1.46064 4.10689i 0.118473 0.333113i
\(153\) 0.935822 0.0756567
\(154\) 2.40420 + 13.6349i 0.193736 + 1.09873i
\(155\) 3.94356 3.30904i 0.316755 0.265789i
\(156\) −4.69846 + 1.71010i −0.376178 + 0.136918i
\(157\) −20.2062 7.35446i −1.61263 0.586950i −0.630673 0.776049i \(-0.717221\pi\)
−0.981958 + 0.189099i \(0.939443\pi\)
\(158\) 6.69459 + 5.61743i 0.532593 + 0.446899i
\(159\) 2.35117 4.07234i 0.186460 0.322958i
\(160\) −0.500000 0.866025i −0.0395285 0.0684653i
\(161\) −3.51455 + 19.9320i −0.276985 + 1.57086i
\(162\) −0.173648 + 0.984808i −0.0136431 + 0.0773738i
\(163\) 3.75877 + 6.51038i 0.294410 + 0.509932i 0.974847 0.222873i \(-0.0715437\pi\)
−0.680438 + 0.732806i \(0.738210\pi\)
\(164\) 5.27972 9.14473i 0.412276 0.714084i
\(165\) 3.33022 + 2.79439i 0.259257 + 0.217543i
\(166\) 4.18479 + 1.52314i 0.324803 + 0.118219i
\(167\) −12.2554 + 4.46059i −0.948349 + 0.345171i −0.769457 0.638698i \(-0.779473\pi\)
−0.178891 + 0.983869i \(0.557251\pi\)
\(168\) −2.43969 + 2.04715i −0.188226 + 0.157941i
\(169\) 2.08378 + 11.8177i 0.160291 + 0.909053i
\(170\) 0.935822 0.0717743
\(171\) −3.75877 + 2.20718i −0.287440 + 0.168787i
\(172\) 4.36959 0.333178
\(173\) −0.0748553 0.424525i −0.00569114 0.0322761i 0.981830 0.189763i \(-0.0607719\pi\)
−0.987521 + 0.157487i \(0.949661\pi\)
\(174\) 3.87939 3.25519i 0.294095 0.246775i
\(175\) −2.99273 + 1.08926i −0.226229 + 0.0823406i
\(176\) 4.08512 + 1.48686i 0.307928 + 0.112077i
\(177\) 10.2194 + 8.57510i 0.768138 + 0.644544i
\(178\) 6.01501 10.4183i 0.450844 0.780885i
\(179\) −7.77379 13.4646i −0.581040 1.00639i −0.995356 0.0962579i \(-0.969313\pi\)
0.414316 0.910133i \(-0.364021\pi\)
\(180\) −0.173648 + 0.984808i −0.0129430 + 0.0734032i
\(181\) −0.263518 + 1.49449i −0.0195872 + 0.111084i −0.993034 0.117830i \(-0.962406\pi\)
0.973447 + 0.228914i \(0.0735174\pi\)
\(182\) 7.96198 + 13.7906i 0.590181 + 1.02222i
\(183\) 4.36959 7.56834i 0.323009 0.559468i
\(184\) 4.86824 + 4.08494i 0.358891 + 0.301146i
\(185\) −1.86571 0.679065i −0.137170 0.0499258i
\(186\) −4.83750 + 1.76070i −0.354702 + 0.129101i
\(187\) −3.11650 + 2.61505i −0.227901 + 0.191231i
\(188\) 1.59967 + 9.07218i 0.116668 + 0.661657i
\(189\) 3.18479 0.231660
\(190\) −3.75877 + 2.20718i −0.272690 + 0.160126i
\(191\) 11.5621 0.836606 0.418303 0.908308i \(-0.362625\pi\)
0.418303 + 0.908308i \(0.362625\pi\)
\(192\) 0.173648 + 0.984808i 0.0125320 + 0.0710724i
\(193\) −1.63041 + 1.36808i −0.117360 + 0.0984766i −0.699579 0.714555i \(-0.746629\pi\)
0.582219 + 0.813032i \(0.302185\pi\)
\(194\) 11.1284 4.05039i 0.798969 0.290801i
\(195\) 4.69846 + 1.71010i 0.336464 + 0.122463i
\(196\) 2.40760 + 2.02022i 0.171972 + 0.144301i
\(197\) 8.36618 14.4907i 0.596066 1.03242i −0.397330 0.917676i \(-0.630063\pi\)
0.993396 0.114740i \(-0.0366036\pi\)
\(198\) −2.17365 3.76487i −0.154474 0.267558i
\(199\) 0.539830 3.06153i 0.0382675 0.217026i −0.959677 0.281104i \(-0.909300\pi\)
0.997945 + 0.0640779i \(0.0204106\pi\)
\(200\) −0.173648 + 0.984808i −0.0122788 + 0.0696364i
\(201\) −7.82295 13.5497i −0.551788 0.955725i
\(202\) −3.16250 + 5.47762i −0.222513 + 0.385404i
\(203\) −12.3550 10.3671i −0.867154 0.727628i
\(204\) −0.879385 0.320070i −0.0615693 0.0224094i
\(205\) −9.92262 + 3.61154i −0.693026 + 0.252241i
\(206\) −10.1985 + 8.55753i −0.710561 + 0.596231i
\(207\) −1.10354 6.25849i −0.0767014 0.434995i
\(208\) 5.00000 0.346688
\(209\) 6.34982 17.8539i 0.439226 1.23498i
\(210\) 3.18479 0.219772
\(211\) −2.37851 13.4892i −0.163743 0.928634i −0.950351 0.311181i \(-0.899276\pi\)
0.786608 0.617453i \(-0.211836\pi\)
\(212\) −3.60220 + 3.02260i −0.247400 + 0.207593i
\(213\) −10.5963 + 3.85673i −0.726044 + 0.264258i
\(214\) 11.2763 + 4.10424i 0.770833 + 0.280560i
\(215\) −3.34730 2.80872i −0.228284 0.191553i
\(216\) 0.500000 0.866025i 0.0340207 0.0589256i
\(217\) 8.19759 + 14.1986i 0.556488 + 0.963866i
\(218\) −1.58853 + 9.00898i −0.107589 + 0.610165i
\(219\) 2.87939 16.3298i 0.194571 1.10347i
\(220\) −2.17365 3.76487i −0.146547 0.253827i
\(221\) −2.33956 + 4.05223i −0.157376 + 0.272582i
\(222\) 1.52094 + 1.27622i 0.102079 + 0.0856545i
\(223\) 6.85844 + 2.49627i 0.459275 + 0.167162i 0.561288 0.827621i \(-0.310306\pi\)
−0.102013 + 0.994783i \(0.532528\pi\)
\(224\) 2.99273 1.08926i 0.199960 0.0727795i
\(225\) 0.766044 0.642788i 0.0510696 0.0428525i
\(226\) −1.59627 9.05288i −0.106182 0.602188i
\(227\) 7.47296 0.495998 0.247999 0.968760i \(-0.420227\pi\)
0.247999 + 0.968760i \(0.420227\pi\)
\(228\) 4.28699 0.788496i 0.283913 0.0522194i
\(229\) −7.19253 −0.475296 −0.237648 0.971351i \(-0.576376\pi\)
−0.237648 + 0.971351i \(0.576376\pi\)
\(230\) −1.10354 6.25849i −0.0727653 0.412673i
\(231\) −10.6061 + 8.89955i −0.697828 + 0.585547i
\(232\) −4.75877 + 1.73205i −0.312429 + 0.113715i
\(233\) −14.5817 5.30731i −0.955280 0.347694i −0.183098 0.983095i \(-0.558613\pi\)
−0.772182 + 0.635401i \(0.780835\pi\)
\(234\) −3.83022 3.21394i −0.250389 0.210102i
\(235\) 4.60607 7.97794i 0.300467 0.520424i
\(236\) −6.67024 11.5532i −0.434196 0.752049i
\(237\) −1.51754 + 8.60640i −0.0985749 + 0.559046i
\(238\) −0.517541 + 2.93512i −0.0335472 + 0.190256i
\(239\) −7.55943 13.0933i −0.488979 0.846936i 0.510941 0.859616i \(-0.329297\pi\)
−0.999920 + 0.0126797i \(0.995964\pi\)
\(240\) 0.500000 0.866025i 0.0322749 0.0559017i
\(241\) −4.39646 3.68907i −0.283201 0.237634i 0.490110 0.871660i \(-0.336956\pi\)
−0.773311 + 0.634027i \(0.781401\pi\)
\(242\) 7.42262 + 2.70161i 0.477144 + 0.173666i
\(243\) −0.939693 + 0.342020i −0.0602813 + 0.0219406i
\(244\) −6.69459 + 5.61743i −0.428577 + 0.359619i
\(245\) −0.545759 3.09516i −0.0348673 0.197742i
\(246\) 10.5594 0.673245
\(247\) −0.160444 21.7939i −0.0102088 1.38671i
\(248\) 5.14796 0.326896
\(249\) 0.773318 + 4.38571i 0.0490071 + 0.277933i
\(250\) 0.766044 0.642788i 0.0484489 0.0406535i
\(251\) 22.6275 8.23573i 1.42823 0.519835i 0.491809 0.870703i \(-0.336336\pi\)
0.936425 + 0.350869i \(0.114114\pi\)
\(252\) −2.99273 1.08926i −0.188524 0.0686171i
\(253\) 21.1637 + 17.7584i 1.33055 + 1.11646i
\(254\) −0.524815 + 0.909006i −0.0329298 + 0.0570361i
\(255\) 0.467911 + 0.810446i 0.0293017 + 0.0507521i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 2.91353 16.5235i 0.181741 1.03071i −0.748330 0.663327i \(-0.769144\pi\)
0.930071 0.367379i \(-0.119745\pi\)
\(258\) 2.18479 + 3.78417i 0.136019 + 0.235592i
\(259\) 3.16163 5.47610i 0.196454 0.340268i
\(260\) −3.83022 3.21394i −0.237540 0.199320i
\(261\) 4.75877 + 1.73205i 0.294560 + 0.107211i
\(262\) −0.240352 + 0.0874810i −0.0148490 + 0.00540460i
\(263\) 9.81773 8.23806i 0.605387 0.507980i −0.287785 0.957695i \(-0.592919\pi\)
0.893172 + 0.449715i \(0.148474\pi\)
\(264\) 0.754900 + 4.28125i 0.0464609 + 0.263493i
\(265\) 4.70233 0.288862
\(266\) −4.84389 13.0097i −0.296998 0.797675i
\(267\) 12.0300 0.736226
\(268\) 2.71688 + 15.4082i 0.165960 + 0.941206i
\(269\) 12.8530 10.7849i 0.783660 0.657569i −0.160508 0.987035i \(-0.551313\pi\)
0.944167 + 0.329466i \(0.106869\pi\)
\(270\) −0.939693 + 0.342020i −0.0571879 + 0.0208147i
\(271\) 3.07873 + 1.12056i 0.187019 + 0.0680694i 0.433832 0.900994i \(-0.357161\pi\)
−0.246813 + 0.969063i \(0.579383\pi\)
\(272\) 0.716881 + 0.601535i 0.0434673 + 0.0364734i
\(273\) −7.96198 + 13.7906i −0.481881 + 0.834642i
\(274\) −5.96316 10.3285i −0.360248 0.623968i
\(275\) −0.754900 + 4.28125i −0.0455222 + 0.258169i
\(276\) −1.10354 + 6.25849i −0.0664253 + 0.376717i
\(277\) 4.62836 + 8.01655i 0.278091 + 0.481668i 0.970910 0.239444i \(-0.0769650\pi\)
−0.692819 + 0.721111i \(0.743632\pi\)
\(278\) −8.09627 + 14.0231i −0.485582 + 0.841052i
\(279\) −3.94356 3.30904i −0.236095 0.198107i
\(280\) −2.99273 1.08926i −0.178850 0.0650959i
\(281\) −13.9363 + 5.07239i −0.831369 + 0.302594i −0.722421 0.691454i \(-0.756971\pi\)
−0.108949 + 0.994047i \(0.534748\pi\)
\(282\) −7.05690 + 5.92145i −0.420233 + 0.352617i
\(283\) 2.87939 + 16.3298i 0.171162 + 0.970706i 0.942481 + 0.334258i \(0.108486\pi\)
−0.771320 + 0.636448i \(0.780403\pi\)
\(284\) 11.2763 0.669126
\(285\) −3.79086 2.15160i −0.224551 0.127450i
\(286\) 21.7365 1.28531
\(287\) −5.83972 33.1187i −0.344708 1.95493i
\(288\) −0.766044 + 0.642788i −0.0451396 + 0.0378766i
\(289\) 15.1518 5.51481i 0.891284 0.324401i
\(290\) 4.75877 + 1.73205i 0.279445 + 0.101710i
\(291\) 9.07192 + 7.61224i 0.531805 + 0.446238i
\(292\) −8.29086 + 14.3602i −0.485186 + 0.840367i
\(293\) 0.555560 + 0.962258i 0.0324561 + 0.0562157i 0.881797 0.471629i \(-0.156334\pi\)
−0.849341 + 0.527844i \(0.823000\pi\)
\(294\) −0.545759 + 3.09516i −0.0318293 + 0.180513i
\(295\) −2.31655 + 13.1378i −0.134875 + 0.764913i
\(296\) −0.992726 1.71945i −0.0577010 0.0999411i
\(297\) 2.17365 3.76487i 0.126128 0.218460i
\(298\) 1.90167 + 1.59569i 0.110161 + 0.0924361i
\(299\) 29.8589 + 10.8678i 1.72679 + 0.628498i
\(300\) −0.939693 + 0.342020i −0.0542532 + 0.0197465i
\(301\) 10.6604 8.94517i 0.614458 0.515591i
\(302\) 0.744223 + 4.22070i 0.0428252 + 0.242874i
\(303\) −6.32501 −0.363362
\(304\) −4.29813 0.725293i −0.246515 0.0415984i
\(305\) 8.73917 0.500403
\(306\) −0.162504 0.921605i −0.00928973 0.0526847i
\(307\) 24.3705 20.4493i 1.39090 1.16710i 0.425925 0.904759i \(-0.359949\pi\)
0.964974 0.262344i \(-0.0844956\pi\)
\(308\) 13.0103 4.73535i 0.741329 0.269822i
\(309\) −12.5103 4.55336i −0.711684 0.259032i
\(310\) −3.94356 3.30904i −0.223979 0.187941i
\(311\) −2.94356 + 5.09840i −0.166914 + 0.289104i −0.937333 0.348434i \(-0.886714\pi\)
0.770419 + 0.637538i \(0.220047\pi\)
\(312\) 2.50000 + 4.33013i 0.141535 + 0.245145i
\(313\) 2.18210 12.3753i 0.123340 0.699495i −0.858940 0.512076i \(-0.828877\pi\)
0.982280 0.187419i \(-0.0600122\pi\)
\(314\) −3.73396 + 21.1763i −0.210719 + 1.19505i
\(315\) 1.59240 + 2.75811i 0.0897214 + 0.155402i
\(316\) 4.36959 7.56834i 0.245808 0.425753i
\(317\) 14.2515 + 11.9584i 0.800444 + 0.671652i 0.948307 0.317356i \(-0.102795\pi\)
−0.147863 + 0.989008i \(0.547239\pi\)
\(318\) −4.41875 1.60829i −0.247791 0.0901886i
\(319\) −20.6878 + 7.52974i −1.15829 + 0.421584i
\(320\) −0.766044 + 0.642788i −0.0428232 + 0.0359329i
\(321\) 2.08378 + 11.8177i 0.116305 + 0.659599i
\(322\) 20.2395 1.12790
\(323\) 2.59896 3.14403i 0.144610 0.174939i
\(324\) 1.00000 0.0555556
\(325\) 0.868241 + 4.92404i 0.0481613 + 0.273137i
\(326\) 5.75877 4.83218i 0.318949 0.267630i
\(327\) −8.59627 + 3.12879i −0.475375 + 0.173022i
\(328\) −9.92262 3.61154i −0.547885 0.199414i
\(329\) 22.4748 + 18.8586i 1.23907 + 1.03971i
\(330\) 2.17365 3.76487i 0.119655 0.207249i
\(331\) −0.0457595 0.0792577i −0.00251517 0.00435640i 0.864765 0.502177i \(-0.167467\pi\)
−0.867280 + 0.497820i \(0.834134\pi\)
\(332\) 0.773318 4.38571i 0.0424414 0.240697i
\(333\) −0.344770 + 1.95529i −0.0188933 + 0.107149i
\(334\) 6.52094 + 11.2946i 0.356810 + 0.618013i
\(335\) 7.82295 13.5497i 0.427413 0.740302i
\(336\) 2.43969 + 2.04715i 0.133096 + 0.111681i
\(337\) −19.6604 7.15582i −1.07097 0.389802i −0.254432 0.967091i \(-0.581889\pi\)
−0.816540 + 0.577288i \(0.804111\pi\)
\(338\) 11.2763 4.10424i 0.613350 0.223241i
\(339\) 7.04189 5.90885i 0.382463 0.320924i
\(340\) −0.162504 0.921605i −0.00881301 0.0499810i
\(341\) 22.3797 1.21193
\(342\) 2.82635 + 3.31839i 0.152832 + 0.179438i
\(343\) −12.2841 −0.663276
\(344\) −0.758770 4.30320i −0.0409102 0.232013i
\(345\) 4.86824 4.08494i 0.262097 0.219926i
\(346\) −0.405078 + 0.147436i −0.0217771 + 0.00792622i
\(347\) 17.2199 + 6.26752i 0.924411 + 0.336458i 0.759992 0.649932i \(-0.225203\pi\)
0.164419 + 0.986391i \(0.447425\pi\)
\(348\) −3.87939 3.25519i −0.207957 0.174497i
\(349\) −2.34730 + 4.06564i −0.125648 + 0.217629i −0.921986 0.387223i \(-0.873434\pi\)
0.796338 + 0.604852i \(0.206768\pi\)
\(350\) 1.59240 + 2.75811i 0.0851172 + 0.147427i
\(351\) 0.868241 4.92404i 0.0463433 0.262826i
\(352\) 0.754900 4.28125i 0.0402363 0.228191i
\(353\) −7.14796 12.3806i −0.380447 0.658954i 0.610679 0.791878i \(-0.290897\pi\)
−0.991126 + 0.132924i \(0.957563\pi\)
\(354\) 6.67024 11.5532i 0.354520 0.614046i
\(355\) −8.63816 7.24827i −0.458466 0.384698i
\(356\) −11.3045 4.11451i −0.599139 0.218069i
\(357\) −2.80066 + 1.01936i −0.148227 + 0.0539501i
\(358\) −11.9101 + 9.99379i −0.629470 + 0.528188i
\(359\) −3.09327 17.5428i −0.163257 0.925875i −0.950844 0.309671i \(-0.899781\pi\)
0.787587 0.616204i \(-0.211330\pi\)
\(360\) 1.00000 0.0527046
\(361\) −3.02347 + 18.7579i −0.159130 + 0.987258i
\(362\) 1.51754 0.0797602
\(363\) 1.37164 + 7.77898i 0.0719927 + 0.408291i
\(364\) 12.1985 10.2357i 0.639373 0.536498i
\(365\) 15.5817 5.67128i 0.815584 0.296848i
\(366\) −8.21213 2.98897i −0.429255 0.156236i
\(367\) −26.9859 22.6439i −1.40865 1.18200i −0.957100 0.289756i \(-0.906426\pi\)
−0.451553 0.892244i \(-0.649130\pi\)
\(368\) 3.17752 5.50362i 0.165640 0.286896i
\(369\) 5.27972 + 9.14473i 0.274851 + 0.476056i
\(370\) −0.344770 + 1.95529i −0.0179237 + 0.101651i
\(371\) −2.60055 + 14.7484i −0.135014 + 0.765701i
\(372\) 2.57398 + 4.45826i 0.133455 + 0.231150i
\(373\) 13.4008 23.2109i 0.693867 1.20181i −0.276694 0.960958i \(-0.589239\pi\)
0.970561 0.240855i \(-0.0774278\pi\)
\(374\) 3.11650 + 2.61505i 0.161150 + 0.135221i
\(375\) 0.939693 + 0.342020i 0.0485255 + 0.0176618i
\(376\) 8.65657 3.15074i 0.446429 0.162487i
\(377\) −19.3969 + 16.2760i −0.998993 + 0.838254i
\(378\) −0.553033 3.13641i −0.0284450 0.161319i
\(379\) −32.7452 −1.68201 −0.841003 0.541031i \(-0.818034\pi\)
−0.841003 + 0.541031i \(0.818034\pi\)
\(380\) 2.82635 + 3.31839i 0.144989 + 0.170230i
\(381\) −1.04963 −0.0537742
\(382\) −2.00774 11.3865i −0.102725 0.582582i
\(383\) 11.1853 9.38555i 0.571540 0.479579i −0.310617 0.950535i \(-0.600535\pi\)
0.882157 + 0.470956i \(0.156091\pi\)
\(384\) 0.939693 0.342020i 0.0479535 0.0174536i
\(385\) −13.0103 4.73535i −0.663065 0.241336i
\(386\) 1.63041 + 1.36808i 0.0829859 + 0.0696335i
\(387\) −2.18479 + 3.78417i −0.111059 + 0.192360i
\(388\) −5.92127 10.2559i −0.300607 0.520667i
\(389\) −0.680045 + 3.85673i −0.0344796 + 0.195544i −0.997182 0.0750184i \(-0.976098\pi\)
0.962703 + 0.270562i \(0.0872096\pi\)
\(390\) 0.868241 4.92404i 0.0439651 0.249338i
\(391\) 2.97359 + 5.15041i 0.150381 + 0.260468i
\(392\) 1.57145 2.72183i 0.0793703 0.137473i
\(393\) −0.195937 0.164411i −0.00988371 0.00829342i
\(394\) −15.7233 5.72281i −0.792127 0.288311i
\(395\) −8.21213 + 2.98897i −0.413197 + 0.150392i
\(396\) −3.33022 + 2.79439i −0.167350 + 0.140423i
\(397\) 0.0603074 + 0.342020i 0.00302674 + 0.0171655i 0.986284 0.165059i \(-0.0527814\pi\)
−0.983257 + 0.182224i \(0.941670\pi\)
\(398\) −3.10876 −0.155828
\(399\) 8.84477 10.6998i 0.442792 0.535659i
\(400\) 1.00000 0.0500000
\(401\) 6.64321 + 37.6755i 0.331746 + 1.88142i 0.457260 + 0.889333i \(0.348831\pi\)
−0.125514 + 0.992092i \(0.540058\pi\)
\(402\) −11.9855 + 10.0570i −0.597780 + 0.501597i
\(403\) 24.1875 8.80352i 1.20486 0.438535i
\(404\) 5.94356 + 2.16328i 0.295703 + 0.107627i
\(405\) −0.766044 0.642788i −0.0380651 0.0319404i
\(406\) −8.06418 + 13.9676i −0.400218 + 0.693199i
\(407\) −4.31567 7.47497i −0.213920 0.370520i
\(408\) −0.162504 + 0.921605i −0.00804514 + 0.0456262i
\(409\) −2.53580 + 14.3812i −0.125387 + 0.711106i 0.855690 + 0.517489i \(0.173133\pi\)
−0.981077 + 0.193617i \(0.937978\pi\)
\(410\) 5.27972 + 9.14473i 0.260747 + 0.451626i
\(411\) 5.96316 10.3285i 0.294141 0.509467i
\(412\) 10.1985 + 8.55753i 0.502442 + 0.421599i
\(413\) −39.9244 14.5313i −1.96455 0.715039i
\(414\) −5.97178 + 2.17355i −0.293497 + 0.106824i
\(415\) −3.41147 + 2.86257i −0.167463 + 0.140518i
\(416\) −0.868241 4.92404i −0.0425690 0.241421i
\(417\) −16.1925 −0.792952
\(418\) −18.6853 3.15306i −0.913926 0.154221i
\(419\) −9.26857 −0.452799 −0.226400 0.974034i \(-0.572696\pi\)
−0.226400 + 0.974034i \(0.572696\pi\)
\(420\) −0.553033 3.13641i −0.0269853 0.153041i
\(421\) 4.94356 4.14814i 0.240935 0.202168i −0.514322 0.857597i \(-0.671957\pi\)
0.755257 + 0.655429i \(0.227512\pi\)
\(422\) −12.8712 + 4.68475i −0.626562 + 0.228050i
\(423\) −8.65657 3.15074i −0.420897 0.153194i
\(424\) 3.60220 + 3.02260i 0.174938 + 0.146791i
\(425\) −0.467911 + 0.810446i −0.0226970 + 0.0393124i
\(426\) 5.63816 + 9.76557i 0.273170 + 0.473144i
\(427\) −4.83305 + 27.4096i −0.233888 + 1.32644i
\(428\) 2.08378 11.8177i 0.100723 0.571230i
\(429\) 10.8682 + 18.8243i 0.524724 + 0.908848i
\(430\) −2.18479 + 3.78417i −0.105360 + 0.182489i
\(431\) −8.33275 6.99201i −0.401374 0.336793i 0.419650 0.907686i \(-0.362153\pi\)
−0.821025 + 0.570893i \(0.806597\pi\)
\(432\) −0.939693 0.342020i −0.0452110 0.0164555i
\(433\) −0.0145479 + 0.00529501i −0.000699128 + 0.000254462i −0.342370 0.939565i \(-0.611230\pi\)
0.341671 + 0.939820i \(0.389007\pi\)
\(434\) 12.5594 10.5386i 0.602872 0.505870i
\(435\) 0.879385 + 4.98724i 0.0421633 + 0.239120i
\(436\) 9.14796 0.438108
\(437\) −24.0911 13.6735i −1.15243 0.654092i
\(438\) −16.5817 −0.792305
\(439\) −0.980400 5.56012i −0.0467919 0.265370i 0.952432 0.304750i \(-0.0985729\pi\)
−0.999224 + 0.0393798i \(0.987462\pi\)
\(440\) −3.33022 + 2.79439i −0.158762 + 0.133217i
\(441\) −2.95336 + 1.07494i −0.140636 + 0.0511874i
\(442\) 4.39693 + 1.60035i 0.209140 + 0.0761209i
\(443\) 14.8307 + 12.4444i 0.704627 + 0.591253i 0.923086 0.384594i \(-0.125658\pi\)
−0.218459 + 0.975846i \(0.570103\pi\)
\(444\) 0.992726 1.71945i 0.0471127 0.0816016i
\(445\) 6.01501 + 10.4183i 0.285139 + 0.493875i
\(446\) 1.26739 7.18772i 0.0600126 0.340348i
\(447\) −0.431074 + 2.44474i −0.0203891 + 0.115632i
\(448\) −1.59240 2.75811i −0.0752337 0.130309i
\(449\) −0.215537 + 0.373321i −0.0101718 + 0.0176181i −0.871067 0.491165i \(-0.836571\pi\)
0.860895 + 0.508783i \(0.169905\pi\)
\(450\) −0.766044 0.642788i −0.0361117 0.0303013i
\(451\) −43.1366 15.7004i −2.03122 0.739304i
\(452\) −8.63816 + 3.14403i −0.406305 + 0.147883i
\(453\) −3.28312 + 2.75486i −0.154254 + 0.129435i
\(454\) −1.29767 7.35943i −0.0609025 0.345395i
\(455\) −15.9240 −0.746527
\(456\) −1.52094 4.08494i −0.0712248 0.191295i
\(457\) 20.8229 0.974056 0.487028 0.873386i \(-0.338081\pi\)
0.487028 + 0.873386i \(0.338081\pi\)
\(458\) 1.24897 + 7.08326i 0.0583605 + 0.330979i
\(459\) 0.716881 0.601535i 0.0334612 0.0280772i
\(460\) −5.97178 + 2.17355i −0.278436 + 0.101342i
\(461\) 26.8999 + 9.79077i 1.25285 + 0.456002i 0.881365 0.472436i \(-0.156625\pi\)
0.371489 + 0.928437i \(0.378847\pi\)
\(462\) 10.6061 + 8.89955i 0.493439 + 0.414044i
\(463\) −3.38578 + 5.86435i −0.157351 + 0.272539i −0.933912 0.357502i \(-0.883629\pi\)
0.776562 + 0.630041i \(0.216962\pi\)
\(464\) 2.53209 + 4.38571i 0.117549 + 0.203601i
\(465\) 0.893933 5.06975i 0.0414552 0.235104i
\(466\) −2.69459 + 15.2818i −0.124825 + 0.707915i
\(467\) −4.02229 6.96681i −0.186129 0.322385i 0.757827 0.652455i \(-0.226261\pi\)
−0.943956 + 0.330070i \(0.892928\pi\)
\(468\) −2.50000 + 4.33013i −0.115563 + 0.200160i
\(469\) 38.1712 + 32.0294i 1.76258 + 1.47898i
\(470\) −8.65657 3.15074i −0.399298 0.145333i
\(471\) −20.2062 + 7.35446i −0.931053 + 0.338875i
\(472\) −10.2194 + 8.57510i −0.470386 + 0.394701i
\(473\) −3.29860 18.7073i −0.151670 0.860162i
\(474\) 8.73917 0.401403
\(475\) −0.0320889 4.35878i −0.00147234 0.199995i
\(476\) 2.98040 0.136606
\(477\) −0.816552 4.63089i −0.0373873 0.212034i
\(478\) −11.5817 + 9.71822i −0.529735 + 0.444501i
\(479\) 13.3969 4.87608i 0.612121 0.222794i −0.0173099 0.999850i \(-0.505510\pi\)
0.629431 + 0.777056i \(0.283288\pi\)
\(480\) −0.939693 0.342020i −0.0428909 0.0156110i
\(481\) −7.60472 6.38112i −0.346746 0.290954i
\(482\) −2.86959 + 4.97027i −0.130706 + 0.226389i
\(483\) 10.1197 + 17.5279i 0.460464 + 0.797547i
\(484\) 1.37164 7.77898i 0.0623475 0.353590i
\(485\) −2.05644 + 11.6626i −0.0933780 + 0.529573i
\(486\) 0.500000 + 0.866025i 0.0226805 + 0.0392837i
\(487\) −9.35117 + 16.1967i −0.423742 + 0.733942i −0.996302 0.0859203i \(-0.972617\pi\)
0.572560 + 0.819863i \(0.305950\pi\)
\(488\) 6.69459 + 5.61743i 0.303050 + 0.254289i
\(489\) 7.06418 + 2.57115i 0.319453 + 0.116271i
\(490\) −2.95336 + 1.07494i −0.133419 + 0.0485607i
\(491\) −9.93242 + 8.33429i −0.448244 + 0.376121i −0.838784 0.544465i \(-0.816733\pi\)
0.390540 + 0.920586i \(0.372288\pi\)
\(492\) −1.83363 10.3990i −0.0826662 0.468824i
\(493\) −4.73917 −0.213441
\(494\) −21.4349 + 3.94248i −0.964404 + 0.177381i
\(495\) 4.34730 0.195396
\(496\) −0.893933 5.06975i −0.0401388 0.227638i
\(497\) 27.5107 23.0842i 1.23403 1.03547i
\(498\) 4.18479 1.52314i 0.187525 0.0682535i
\(499\) −36.3282 13.2224i −1.62627 0.591915i −0.641709 0.766948i \(-0.721774\pi\)
−0.984563 + 0.175033i \(0.943997\pi\)
\(500\) −0.766044 0.642788i −0.0342585 0.0287463i
\(501\) −6.52094 + 11.2946i −0.291334 + 0.504606i
\(502\) −12.0398 20.8536i −0.537364 0.930742i
\(503\) −5.49407 + 31.1584i −0.244968 + 1.38929i 0.575597 + 0.817733i \(0.304770\pi\)
−0.820566 + 0.571552i \(0.806342\pi\)
\(504\) −0.553033 + 3.13641i −0.0246341 + 0.139707i
\(505\) −3.16250 5.47762i −0.140730 0.243751i
\(506\) 13.8136 23.9259i 0.614090 1.06364i
\(507\) 9.19253 + 7.71345i 0.408255 + 0.342566i
\(508\) 0.986329 + 0.358995i 0.0437613 + 0.0159278i
\(509\) −22.3533 + 8.13593i −0.990792 + 0.360619i −0.786027 0.618192i \(-0.787865\pi\)
−0.204765 + 0.978811i \(0.565643\pi\)
\(510\) 0.716881 0.601535i 0.0317440 0.0266364i
\(511\) 9.17024 + 52.0070i 0.405668 + 2.30066i
\(512\) −1.00000 −0.0441942
\(513\) −1.46064 + 4.10689i −0.0644887 + 0.181324i
\(514\) −16.7784 −0.740062
\(515\) −2.31180 13.1109i −0.101870 0.577735i
\(516\) 3.34730 2.80872i 0.147357 0.123647i
\(517\) 37.6327 13.6972i 1.65508 0.602401i
\(518\) −5.94191 2.16268i −0.261073 0.0950227i
\(519\) −0.330222 0.277089i −0.0144951 0.0121629i
\(520\) −2.50000 + 4.33013i −0.109632 + 0.189889i
\(521\) −0.418281 0.724484i −0.0183252 0.0317402i 0.856717 0.515786i \(-0.172500\pi\)
−0.875043 + 0.484046i \(0.839167\pi\)
\(522\) 0.879385 4.98724i 0.0384896 0.218286i
\(523\) −2.07192 + 11.7504i −0.0905987 + 0.513811i 0.905409 + 0.424541i \(0.139564\pi\)
−0.996007 + 0.0892698i \(0.971547\pi\)
\(524\) 0.127889 + 0.221510i 0.00558684 + 0.00967670i
\(525\) −1.59240 + 2.75811i −0.0694979 + 0.120374i
\(526\) −9.81773 8.23806i −0.428074 0.359196i
\(527\) 4.52704 + 1.64771i 0.197201 + 0.0717752i
\(528\) 4.08512 1.48686i 0.177782 0.0647074i
\(529\) 13.3188 11.1758i 0.579080 0.485905i
\(530\) −0.816552 4.63089i −0.0354687 0.201153i
\(531\) 13.3405 0.578928
\(532\) −11.9709 + 7.02941i −0.519005 + 0.304764i
\(533\) −52.7972 −2.28690
\(534\) −2.08899 11.8473i −0.0903996 0.512681i
\(535\) −9.19253 + 7.71345i −0.397428 + 0.333482i
\(536\) 14.7023 5.35121i 0.635044 0.231137i
\(537\) −14.6099 5.31758i −0.630465 0.229471i
\(538\) −12.8530 10.7849i −0.554131 0.464971i
\(539\) 6.83157 11.8326i 0.294256 0.509667i
\(540\) 0.500000 + 0.866025i 0.0215166 + 0.0372678i
\(541\) −0.475652 + 2.69756i −0.0204499 + 0.115977i −0.993324 0.115358i \(-0.963198\pi\)
0.972874 + 0.231335i \(0.0743095\pi\)
\(542\) 0.568926 3.22654i 0.0244374 0.138592i
\(543\) 0.758770 + 1.31423i 0.0325620 + 0.0563990i
\(544\) 0.467911 0.810446i 0.0200615 0.0347476i
\(545\) −7.00774 5.88019i −0.300179 0.251880i
\(546\) 14.9636 + 5.44632i 0.640384 + 0.233081i
\(547\) 20.0300 7.29033i 0.856422 0.311712i 0.123766 0.992311i \(-0.460503\pi\)
0.732656 + 0.680599i \(0.238280\pi\)
\(548\) −9.13610 + 7.66610i −0.390275 + 0.327479i
\(549\) −1.51754 8.60640i −0.0647671 0.367312i
\(550\) 4.34730 0.185369
\(551\) 19.0351 11.1776i 0.810922 0.476180i
\(552\) 6.35504 0.270488
\(553\) −4.83305 27.4096i −0.205522 1.16558i
\(554\) 7.09105 5.95010i 0.301270 0.252795i
\(555\) −1.86571 + 0.679065i −0.0791952 + 0.0288247i
\(556\) 15.2160 + 5.53817i 0.645302 + 0.234871i
\(557\) 25.1798 + 21.1284i 1.06690 + 0.895237i 0.994768 0.102158i \(-0.0325746\pi\)
0.0721340 + 0.997395i \(0.477019\pi\)
\(558\) −2.57398 + 4.45826i −0.108965 + 0.188733i
\(559\) −10.9240 18.9209i −0.462034 0.800267i
\(560\) −0.553033 + 3.13641i −0.0233699 + 0.132537i
\(561\) −0.706452 + 4.00649i −0.0298264 + 0.169154i
\(562\) 7.41534 + 12.8438i 0.312797 + 0.541781i
\(563\) −11.9932 + 20.7728i −0.505453 + 0.875470i 0.494527 + 0.869162i \(0.335341\pi\)
−0.999980 + 0.00630786i \(0.997992\pi\)
\(564\) 7.05690 + 5.92145i 0.297149 + 0.249338i
\(565\) 8.63816 + 3.14403i 0.363410 + 0.132270i
\(566\) 15.5817 5.67128i 0.654948 0.238382i
\(567\) 2.43969 2.04715i 0.102457 0.0859720i
\(568\) −1.95811 11.1050i −0.0821605 0.465955i
\(569\) −19.4962 −0.817323 −0.408661 0.912686i \(-0.634004\pi\)
−0.408661 + 0.912686i \(0.634004\pi\)
\(570\) −1.46064 + 4.10689i −0.0611794 + 0.172019i
\(571\) 41.6709 1.74387 0.871936 0.489620i \(-0.162865\pi\)
0.871936 + 0.489620i \(0.162865\pi\)
\(572\) −3.77450 21.4063i −0.157820 0.895041i
\(573\) 8.85710 7.43199i 0.370011 0.310476i
\(574\) −31.6015 + 11.5020i −1.31902 + 0.480084i
\(575\) 5.97178 + 2.17355i 0.249041 + 0.0906433i
\(576\) 0.766044 + 0.642788i 0.0319185 + 0.0267828i
\(577\) −1.00000 + 1.73205i −0.0416305 + 0.0721062i −0.886090 0.463513i \(-0.846589\pi\)
0.844459 + 0.535620i \(0.179922\pi\)
\(578\) −8.06212 13.9640i −0.335340 0.580826i
\(579\) −0.369585 + 2.09602i −0.0153594 + 0.0871077i
\(580\) 0.879385 4.98724i 0.0365145 0.207084i
\(581\) −7.09152 12.2829i −0.294206 0.509579i
\(582\) 5.92127 10.2559i 0.245445 0.425123i
\(583\) 15.6598 + 13.1401i 0.648563 + 0.544209i
\(584\) 15.5817 + 5.67128i 0.644776 + 0.234679i
\(585\) 4.69846 1.71010i 0.194258 0.0707040i
\(586\) 0.851167 0.714214i 0.0351614 0.0295039i
\(587\) 5.36278 + 30.4138i 0.221346 + 1.25531i 0.869549 + 0.493846i \(0.164409\pi\)
−0.648204 + 0.761467i \(0.724480\pi\)
\(588\) 3.14290 0.129611
\(589\) −22.0692 + 4.05914i −0.909347 + 0.167254i
\(590\) 13.3405 0.549219
\(591\) −2.90554 16.4782i −0.119518 0.677821i
\(592\) −1.52094 + 1.27622i −0.0625104 + 0.0524525i
\(593\) −3.57398 + 1.30082i −0.146766 + 0.0534183i −0.414358 0.910114i \(-0.635994\pi\)
0.267593 + 0.963532i \(0.413772\pi\)
\(594\) −4.08512 1.48686i −0.167615 0.0610067i
\(595\) −2.28312 1.91576i −0.0935987 0.0785387i
\(596\) 1.24123 2.14987i 0.0508427 0.0880622i
\(597\) −1.55438 2.69226i −0.0636164 0.110187i
\(598\) 5.51770 31.2924i 0.225636 1.27964i
\(599\) 2.30272 13.0594i 0.0940865 0.533591i −0.900937 0.433950i \(-0.857119\pi\)
0.995023 0.0996412i \(-0.0317695\pi\)
\(600\) 0.500000 + 0.866025i 0.0204124 + 0.0353553i
\(601\) 3.84864 6.66604i 0.156989 0.271913i −0.776792 0.629757i \(-0.783155\pi\)
0.933782 + 0.357843i \(0.116488\pi\)
\(602\) −10.6604 8.94517i −0.434487 0.364578i
\(603\) −14.7023 5.35121i −0.598725 0.217918i
\(604\) 4.02734 1.46583i 0.163870 0.0596439i
\(605\) −6.05097 + 5.07737i −0.246007 + 0.206424i
\(606\) 1.09833 + 6.22892i 0.0446164 + 0.253032i
\(607\) −5.72193 −0.232246 −0.116123 0.993235i \(-0.537047\pi\)
−0.116123 + 0.993235i \(0.537047\pi\)
\(608\) 0.0320889 + 4.35878i 0.00130138 + 0.176772i
\(609\) −16.1284 −0.653554
\(610\) −1.51754 8.60640i −0.0614434 0.348463i
\(611\) 35.2845 29.6072i 1.42746 1.19778i
\(612\) −0.879385 + 0.320070i −0.0355470 + 0.0129381i
\(613\) −30.6377 11.1512i −1.23745 0.450394i −0.361305 0.932448i \(-0.617669\pi\)
−0.876142 + 0.482054i \(0.839891\pi\)
\(614\) −24.3705 20.4493i −0.983514 0.825266i
\(615\) −5.27972 + 9.14473i −0.212899 + 0.368751i
\(616\) −6.92262 11.9903i −0.278920 0.483104i
\(617\) −3.09926 + 17.5768i −0.124771 + 0.707614i 0.856672 + 0.515862i \(0.172528\pi\)
−0.981443 + 0.191753i \(0.938583\pi\)
\(618\) −2.31180 + 13.1109i −0.0929944 + 0.527397i
\(619\) 22.2211 + 38.4880i 0.893140 + 1.54696i 0.836090 + 0.548592i \(0.184836\pi\)
0.0570494 + 0.998371i \(0.481831\pi\)
\(620\) −2.57398 + 4.45826i −0.103373 + 0.179048i
\(621\) −4.86824 4.08494i −0.195356 0.163923i
\(622\) 5.53209 + 2.01352i 0.221817 + 0.0807346i
\(623\) −36.0026 + 13.1039i −1.44241 + 0.524995i
\(624\) 3.83022 3.21394i 0.153332 0.128660i
\(625\) 0.173648 + 0.984808i 0.00694593 + 0.0393923i
\(626\) −12.5662 −0.502248
\(627\) −6.61200 17.7584i −0.264058 0.709204i
\(628\) 21.5030 0.858063
\(629\) −0.322644 1.82980i −0.0128646 0.0729590i
\(630\) 2.43969 2.04715i 0.0971997 0.0815602i
\(631\) −7.71688 + 2.80872i −0.307204 + 0.111813i −0.491022 0.871147i \(-0.663377\pi\)
0.183818 + 0.982960i \(0.441154\pi\)
\(632\) −8.21213 2.98897i −0.326661 0.118895i
\(633\) −10.4927 8.80444i −0.417048 0.349945i
\(634\) 9.30200 16.1115i 0.369430 0.639871i
\(635\) −0.524815 0.909006i −0.0208266 0.0360728i
\(636\) −0.816552 + 4.63089i −0.0323784 + 0.183627i
\(637\) 2.72880 15.4758i 0.108119 0.613173i
\(638\) 11.0077 + 19.0660i 0.435801 + 0.754829i
\(639\) −5.63816 + 9.76557i −0.223042 + 0.386320i
\(640\) 0.766044 + 0.642788i 0.0302806 + 0.0254084i
\(641\) −18.6548 6.78980i −0.736821 0.268181i −0.0537718 0.998553i \(-0.517124\pi\)
−0.683049 + 0.730372i \(0.739347\pi\)
\(642\) 11.2763 4.10424i 0.445041 0.161982i
\(643\) −16.8425 + 14.1326i −0.664205 + 0.557334i −0.911344 0.411646i \(-0.864954\pi\)
0.247139 + 0.968980i \(0.420510\pi\)
\(644\) −3.51455 19.9320i −0.138493 0.785431i
\(645\) −4.36959 −0.172052
\(646\) −3.54757 2.01352i −0.139577 0.0792207i
\(647\) −6.35504 −0.249842 −0.124921 0.992167i \(-0.539868\pi\)
−0.124921 + 0.992167i \(0.539868\pi\)
\(648\) −0.173648 0.984808i −0.00682154 0.0386869i
\(649\) −44.4268 + 37.2785i −1.74390 + 1.46331i
\(650\) 4.69846 1.71010i 0.184289 0.0670757i
\(651\) 15.4064 + 5.60748i 0.603825 + 0.219774i
\(652\) −5.75877 4.83218i −0.225531 0.189243i
\(653\) −3.28699 + 5.69323i −0.128630 + 0.222793i −0.923146 0.384450i \(-0.874391\pi\)
0.794516 + 0.607243i \(0.207725\pi\)
\(654\) 4.57398 + 7.92236i 0.178857 + 0.309789i
\(655\) 0.0444153 0.251892i 0.00173545 0.00984222i
\(656\) −1.83363 + 10.3990i −0.0715911 + 0.406013i
\(657\) −8.29086 14.3602i −0.323457 0.560244i
\(658\) 14.6694 25.4081i 0.571871 0.990510i
\(659\) 7.18320 + 6.02742i 0.279818 + 0.234795i 0.771885 0.635762i \(-0.219314\pi\)
−0.492067 + 0.870557i \(0.663759\pi\)
\(660\) −4.08512 1.48686i −0.159013 0.0578761i
\(661\) 46.9172 17.0764i 1.82487 0.664197i 0.830650 0.556795i \(-0.187969\pi\)
0.994216 0.107402i \(-0.0342533\pi\)
\(662\) −0.0701076 + 0.0588272i −0.00272481 + 0.00228639i
\(663\) 0.812519 + 4.60802i 0.0315556 + 0.178961i
\(664\) −4.45336 −0.172824
\(665\) 13.6887 + 2.30991i 0.530824 + 0.0895744i
\(666\) 1.98545 0.0769347
\(667\) 5.58853 + 31.6941i 0.216389 + 1.22720i
\(668\) 9.99067 8.38316i 0.386550 0.324354i
\(669\) 6.85844 2.49627i 0.265163 0.0965113i
\(670\) −14.7023 5.35121i −0.568001 0.206735i
\(671\) 29.1034 + 24.4206i 1.12352 + 0.942748i
\(672\) 1.59240 2.75811i 0.0614280 0.106396i
\(673\) −10.7665 18.6481i −0.415019 0.718833i 0.580412 0.814323i \(-0.302892\pi\)
−0.995430 + 0.0954899i \(0.969558\pi\)
\(674\) −3.63310 + 20.6044i −0.139942 + 0.793650i
\(675\) 0.173648 0.984808i 0.00668372 0.0379053i
\(676\) −6.00000 10.3923i −0.230769 0.399704i
\(677\) −21.4197 + 37.1000i −0.823225 + 1.42587i 0.0800429 + 0.996791i \(0.474494\pi\)
−0.903268 + 0.429077i \(0.858839\pi\)
\(678\) −7.04189 5.90885i −0.270442 0.226928i
\(679\) −35.4415 12.8997i −1.36012 0.495043i
\(680\) −0.879385 + 0.320070i −0.0337229 + 0.0122741i
\(681\) 5.72462 4.80353i 0.219368 0.184072i
\(682\) −3.88619 22.0397i −0.148810 0.843943i
\(683\) −16.5134 −0.631869 −0.315934 0.948781i \(-0.602318\pi\)
−0.315934 + 0.948781i \(0.602318\pi\)
\(684\) 2.77719 3.35965i 0.106188 0.128459i
\(685\) 11.9263 0.455682
\(686\) 2.13310 + 12.0974i 0.0814423 + 0.461882i
\(687\) −5.50980 + 4.62327i −0.210212 + 0.176389i
\(688\) −4.10607 + 1.49449i −0.156542 + 0.0569767i
\(689\) 22.0937 + 8.04146i 0.841704 + 0.306355i
\(690\) −4.86824 4.08494i −0.185331 0.155511i
\(691\) −17.4315 + 30.1923i −0.663127 + 1.14857i 0.316662 + 0.948538i \(0.397438\pi\)
−0.979789 + 0.200031i \(0.935896\pi\)
\(692\) 0.215537 + 0.373321i 0.00819350 + 0.0141916i
\(693\) −2.40420 + 13.6349i −0.0913280 + 0.517947i
\(694\) 3.18210 18.0466i 0.120791 0.685040i
\(695\) −8.09627 14.0231i −0.307109 0.531928i
\(696\) −2.53209 + 4.38571i −0.0959786 + 0.166240i
\(697\) −7.56986 6.35187i −0.286729 0.240594i
\(698\) 4.41147 + 1.60565i 0.166977 + 0.0607746i
\(699\) −14.5817 + 5.30731i −0.551531 + 0.200741i
\(700\) 2.43969 2.04715i 0.0922117 0.0773748i
\(701\) 4.69635 + 26.6343i 0.177379 + 1.00596i 0.935362 + 0.353691i \(0.115073\pi\)
−0.757984 + 0.652273i \(0.773815\pi\)
\(702\) −5.00000 −0.188713
\(703\) 5.61159 + 6.58851i 0.211645 + 0.248490i
\(704\) −4.34730 −0.163845
\(705\) −1.59967 9.07218i −0.0602471 0.341678i
\(706\) −10.9513 + 9.18923i −0.412158 + 0.345841i
\(707\) 18.9290 6.88960i 0.711899 0.259110i
\(708\) −12.5360 4.56272i −0.471130 0.171477i
\(709\) 30.4165 + 25.5225i 1.14232 + 0.958517i 0.999512 0.0312334i \(-0.00994353\pi\)
0.142805 + 0.989751i \(0.454388\pi\)
\(710\) −5.63816 + 9.76557i −0.211596 + 0.366495i
\(711\) 4.36959 + 7.56834i 0.163872 + 0.283835i
\(712\) −2.08899 + 11.8473i −0.0782883 + 0.443995i
\(713\) 5.68098 32.2184i 0.212754 1.20659i
\(714\) 1.49020 + 2.58110i 0.0557693 + 0.0965953i
\(715\) −10.8682 + 18.8243i −0.406449 + 0.703991i
\(716\) 11.9101 + 9.99379i 0.445102 + 0.373485i
\(717\) −14.2071 5.17095i −0.530573 0.193113i
\(718\) −16.7392 + 6.09256i −0.624700 + 0.227372i
\(719\) 31.2540 26.2252i 1.16558 0.978036i 0.165612 0.986191i \(-0.447040\pi\)
0.999967 + 0.00815467i \(0.00259574\pi\)
\(720\) −0.173648 0.984808i −0.00647149 0.0367016i
\(721\) 42.3996 1.57904
\(722\) 18.9979 0.279737i 0.707030 0.0104107i
\(723\) −5.73917 −0.213442
\(724\) −0.263518 1.49449i −0.00979358 0.0555421i
\(725\) −3.87939 + 3.25519i −0.144077 + 0.120895i
\(726\) 7.42262 2.70161i 0.275479 0.100266i
\(727\) 23.0060 + 8.37349i 0.853245 + 0.310556i 0.731363 0.681989i \(-0.238885\pi\)
0.121882 + 0.992545i \(0.461107\pi\)
\(728\) −12.1985 10.2357i −0.452105 0.379361i
\(729\) −0.500000 + 0.866025i −0.0185185 + 0.0320750i
\(730\) −8.29086 14.3602i −0.306858 0.531494i
\(731\) 0.710074 4.02703i 0.0262630 0.148945i
\(732\) −1.51754 + 8.60640i −0.0560899 + 0.318102i
\(733\) −2.90286 5.02789i −0.107219 0.185710i 0.807423 0.589972i \(-0.200861\pi\)
−0.914643 + 0.404263i \(0.867528\pi\)
\(734\) −17.6138 + 30.5080i −0.650138 + 1.12607i
\(735\) −2.40760 2.02022i −0.0888058 0.0745169i
\(736\) −5.97178 2.17355i −0.220123 0.0801181i
\(737\) 63.9154 23.2633i 2.35435 0.856915i
\(738\) 8.08899 6.78747i 0.297760 0.249850i
\(739\) −3.86231 21.9043i −0.142077 0.805761i −0.969667 0.244428i \(-0.921400\pi\)
0.827590 0.561333i \(-0.189711\pi\)
\(740\) 1.98545 0.0729867
\(741\) −14.1318 16.5920i −0.519143 0.609521i
\(742\) 14.9760 0.549785
\(743\) −7.59668 43.0829i −0.278695 1.58056i −0.726974 0.686665i \(-0.759074\pi\)
0.448279 0.893894i \(-0.352037\pi\)
\(744\) 3.94356 3.30904i 0.144578 0.121315i
\(745\) −2.33275 + 0.849051i −0.0854653 + 0.0311068i
\(746\) −25.1853 9.16668i −0.922098 0.335616i
\(747\) 3.41147 + 2.86257i 0.124819 + 0.104736i
\(748\) 2.03415 3.52325i 0.0743758 0.128823i
\(749\) −19.1088 33.0973i −0.698219 1.20935i
\(750\) 0.173648 0.984808i 0.00634073 0.0359601i
\(751\) 4.81345 27.2984i 0.175645 0.996134i −0.761751 0.647870i \(-0.775660\pi\)
0.937396 0.348264i \(-0.113229\pi\)
\(752\) −4.60607 7.97794i −0.167966 0.290926i
\(753\) 12.0398 20.8536i 0.438756 0.759947i
\(754\) 19.3969 + 16.2760i 0.706394 + 0.592735i
\(755\) −4.02734 1.46583i −0.146570 0.0533471i
\(756\) −2.99273 + 1.08926i −0.108844 + 0.0396161i
\(757\) 12.1532 10.1977i 0.441714 0.370642i −0.394636 0.918838i \(-0.629129\pi\)
0.836351 + 0.548195i \(0.184685\pi\)
\(758\) 5.68614 + 32.2477i 0.206530 + 1.17129i
\(759\) 27.6272 1.00280
\(760\) 2.77719 3.35965i 0.100739 0.121867i
\(761\) −29.9540 −1.08583 −0.542916 0.839787i \(-0.682680\pi\)
−0.542916 + 0.839787i \(0.682680\pi\)
\(762\) 0.182266 + 1.03368i 0.00660281 + 0.0374464i
\(763\) 22.3182 18.7272i 0.807973 0.677970i
\(764\) −10.8648 + 3.95448i −0.393076 + 0.143068i
\(765\) 0.879385 + 0.320070i 0.0317942 + 0.0115722i
\(766\) −11.1853 9.38555i −0.404140 0.339114i
\(767\) −33.3512 + 57.7660i −1.20424 + 2.08581i
\(768\) −0.500000 0.866025i −0.0180422 0.0312500i
\(769\) −5.88784 + 33.3916i −0.212321 + 1.20413i 0.673174 + 0.739484i \(0.264930\pi\)
−0.885495 + 0.464648i \(0.846181\pi\)
\(770\) −2.40420 + 13.6349i −0.0866414 + 0.491368i
\(771\) −8.38919 14.5305i −0.302129 0.523303i
\(772\) 1.06418 1.84321i