Properties

Label 570.2.s.a.221.4
Level $570$
Weight $2$
Character 570.221
Analytic conductor $4.551$
Analytic rank $0$
Dimension $24$
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.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 221.4
Character \(\chi\) \(=\) 570.221
Dual form 570.2.s.a.521.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 - 0.866025i) q^{2} +(-0.929852 - 1.46129i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-0.800591 + 1.53592i) q^{6} -4.66317 q^{7} +1.00000 q^{8} +(-1.27075 + 2.71757i) q^{9} +O(q^{10})\) \(q+(-0.500000 - 0.866025i) q^{2} +(-0.929852 - 1.46129i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-0.800591 + 1.53592i) q^{6} -4.66317 q^{7} +1.00000 q^{8} +(-1.27075 + 2.71757i) q^{9} +(-0.866025 - 0.500000i) q^{10} +3.04774i q^{11} +(1.73044 - 0.0746290i) q^{12} +(3.56832 + 2.06017i) q^{13} +(2.33159 + 4.03843i) q^{14} +(-1.53592 - 0.800591i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(2.22857 - 1.28666i) q^{17} +(2.98886 - 0.258282i) q^{18} +(-3.71368 + 2.28223i) q^{19} +1.00000i q^{20} +(4.33606 + 6.81426i) q^{21} +(2.63942 - 1.52387i) q^{22} +(0.586222 + 0.338456i) q^{23} +(-0.929852 - 1.46129i) q^{24} +(0.500000 - 0.866025i) q^{25} -4.12034i q^{26} +(5.15278 - 0.669999i) q^{27} +(2.33159 - 4.03843i) q^{28} +(-0.992204 + 1.71855i) q^{29} +(0.0746290 + 1.73044i) q^{30} +4.29688i q^{31} +(-0.500000 + 0.866025i) q^{32} +(4.45364 - 2.83395i) q^{33} +(-2.22857 - 1.28666i) q^{34} +(-4.03843 + 2.33159i) q^{35} +(-1.71811 - 2.45929i) q^{36} +4.49734i q^{37} +(3.83331 + 2.07503i) q^{38} +(-0.307497 - 7.13001i) q^{39} +(0.866025 - 0.500000i) q^{40} +(-1.65691 - 2.86985i) q^{41} +(3.73329 - 7.16227i) q^{42} +(2.86613 + 4.96428i) q^{43} +(-2.63942 - 1.52387i) q^{44} +(0.258282 + 2.98886i) q^{45} -0.676911i q^{46} +(-7.58882 - 4.38141i) q^{47} +(-0.800591 + 1.53592i) q^{48} +14.7452 q^{49} -1.00000 q^{50} +(-3.95243 - 2.06018i) q^{51} +(-3.56832 + 2.06017i) q^{52} +(4.57343 - 7.92141i) q^{53} +(-3.15662 - 4.12744i) q^{54} +(1.52387 + 2.63942i) q^{55} -4.66317 q^{56} +(6.78818 + 3.30464i) q^{57} +1.98441 q^{58} +(6.02522 + 10.4360i) q^{59} +(1.46129 - 0.929852i) q^{60} +(-6.95089 + 12.0393i) q^{61} +(3.72120 - 2.14844i) q^{62} +(5.92573 - 12.6725i) q^{63} +1.00000 q^{64} +4.12034 q^{65} +(-4.68109 - 2.43999i) q^{66} +(-2.56373 - 1.48017i) q^{67} +2.57333i q^{68} +(-0.0505172 - 1.17136i) q^{69} +(4.03843 + 2.33159i) q^{70} +(6.25422 + 10.8326i) q^{71} +(-1.27075 + 2.71757i) q^{72} +(2.18577 + 3.78586i) q^{73} +(3.89481 - 2.24867i) q^{74} +(-1.73044 + 0.0746290i) q^{75} +(-0.119625 - 4.35726i) q^{76} -14.2121i q^{77} +(-6.02102 + 3.83131i) q^{78} +(6.74543 - 3.89448i) q^{79} +(-0.866025 - 0.500000i) q^{80} +(-5.77038 - 6.90671i) q^{81} +(-1.65691 + 2.86985i) q^{82} -2.61607i q^{83} +(-8.06935 + 0.348008i) q^{84} +(1.28666 - 2.22857i) q^{85} +(2.86613 - 4.96428i) q^{86} +(3.43390 - 0.148094i) q^{87} +3.04774i q^{88} +(-4.81262 + 8.33571i) q^{89} +(2.45929 - 1.71811i) q^{90} +(-16.6397 - 9.60693i) q^{91} +(-0.586222 + 0.338456i) q^{92} +(6.27899 - 3.99546i) q^{93} +8.76281i q^{94} +(-2.07503 + 3.83331i) q^{95} +(1.73044 - 0.0746290i) q^{96} +(-8.00346 + 4.62080i) q^{97} +(-7.37259 - 12.7697i) q^{98} +(-8.28245 - 3.87292i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 12q^{2} + 4q^{3} - 12q^{4} - 2q^{6} - 12q^{7} + 24q^{8} - 4q^{9} + O(q^{10}) \) \( 24q - 12q^{2} + 4q^{3} - 12q^{4} - 2q^{6} - 12q^{7} + 24q^{8} - 4q^{9} - 2q^{12} + 18q^{13} + 6q^{14} - 12q^{16} + 12q^{17} + 2q^{18} + 6q^{19} - 6q^{21} + 18q^{22} + 4q^{24} + 12q^{25} + 28q^{27} + 6q^{28} - 12q^{32} - 22q^{33} - 12q^{34} + 2q^{36} + 6q^{38} + 40q^{39} + 6q^{41} - 6q^{42} - 22q^{43} - 18q^{44} + 8q^{45} + 12q^{47} - 2q^{48} + 12q^{49} - 24q^{50} - 20q^{51} - 18q^{52} + 8q^{53} + 4q^{54} - 12q^{56} + 26q^{59} + 22q^{61} - 18q^{62} + 6q^{63} + 24q^{64} + 8q^{65} + 8q^{66} - 48q^{67} - 64q^{69} + 24q^{71} - 4q^{72} - 8q^{73} + 30q^{74} + 2q^{75} - 12q^{76} - 38q^{78} + 18q^{79} - 12q^{81} + 6q^{82} + 12q^{84} - 22q^{86} - 24q^{87} + 28q^{89} + 8q^{90} + 18q^{91} + 2q^{93} - 2q^{96} + 6q^{97} - 6q^{98} + 2q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{6}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 0.866025i −0.353553 0.612372i
\(3\) −0.929852 1.46129i −0.536850 0.843678i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) −0.800591 + 1.53592i −0.326840 + 0.627037i
\(7\) −4.66317 −1.76251 −0.881257 0.472638i \(-0.843302\pi\)
−0.881257 + 0.472638i \(0.843302\pi\)
\(8\) 1.00000 0.353553
\(9\) −1.27075 + 2.71757i −0.423584 + 0.905857i
\(10\) −0.866025 0.500000i −0.273861 0.158114i
\(11\) 3.04774i 0.918928i 0.888196 + 0.459464i \(0.151959\pi\)
−0.888196 + 0.459464i \(0.848041\pi\)
\(12\) 1.73044 0.0746290i 0.499536 0.0215435i
\(13\) 3.56832 + 2.06017i 0.989674 + 0.571389i 0.905177 0.425035i \(-0.139738\pi\)
0.0844972 + 0.996424i \(0.473072\pi\)
\(14\) 2.33159 + 4.03843i 0.623143 + 1.07931i
\(15\) −1.53592 0.800591i −0.396573 0.206712i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 2.22857 1.28666i 0.540506 0.312062i −0.204778 0.978808i \(-0.565647\pi\)
0.745284 + 0.666747i \(0.232314\pi\)
\(18\) 2.98886 0.258282i 0.704481 0.0608777i
\(19\) −3.71368 + 2.28223i −0.851977 + 0.523579i
\(20\) 1.00000i 0.223607i
\(21\) 4.33606 + 6.81426i 0.946206 + 1.48699i
\(22\) 2.63942 1.52387i 0.562726 0.324890i
\(23\) 0.586222 + 0.338456i 0.122236 + 0.0705729i 0.559871 0.828580i \(-0.310851\pi\)
−0.437635 + 0.899153i \(0.644184\pi\)
\(24\) −0.929852 1.46129i −0.189805 0.298285i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 4.12034i 0.808066i
\(27\) 5.15278 0.669999i 0.991652 0.128941i
\(28\) 2.33159 4.03843i 0.440628 0.763191i
\(29\) −0.992204 + 1.71855i −0.184248 + 0.319126i −0.943323 0.331877i \(-0.892318\pi\)
0.759075 + 0.651003i \(0.225652\pi\)
\(30\) 0.0746290 + 1.73044i 0.0136253 + 0.315934i
\(31\) 4.29688i 0.771742i 0.922553 + 0.385871i \(0.126099\pi\)
−0.922553 + 0.385871i \(0.873901\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) 4.45364 2.83395i 0.775279 0.493327i
\(34\) −2.22857 1.28666i −0.382196 0.220661i
\(35\) −4.03843 + 2.33159i −0.682619 + 0.394110i
\(36\) −1.71811 2.45929i −0.286352 0.409881i
\(37\) 4.49734i 0.739358i 0.929160 + 0.369679i \(0.120532\pi\)
−0.929160 + 0.369679i \(0.879468\pi\)
\(38\) 3.83331 + 2.07503i 0.621845 + 0.336614i
\(39\) −0.307497 7.13001i −0.0492389 1.14172i
\(40\) 0.866025 0.500000i 0.136931 0.0790569i
\(41\) −1.65691 2.86985i −0.258766 0.448195i 0.707146 0.707068i \(-0.249982\pi\)
−0.965912 + 0.258872i \(0.916649\pi\)
\(42\) 3.73329 7.16227i 0.576059 1.10516i
\(43\) 2.86613 + 4.96428i 0.437080 + 0.757045i 0.997463 0.0711889i \(-0.0226793\pi\)
−0.560383 + 0.828234i \(0.689346\pi\)
\(44\) −2.63942 1.52387i −0.397908 0.229732i
\(45\) 0.258282 + 2.98886i 0.0385025 + 0.445553i
\(46\) 0.676911i 0.0998051i
\(47\) −7.58882 4.38141i −1.10694 0.639094i −0.168907 0.985632i \(-0.554024\pi\)
−0.938036 + 0.346538i \(0.887357\pi\)
\(48\) −0.800591 + 1.53592i −0.115555 + 0.221691i
\(49\) 14.7452 2.10645
\(50\) −1.00000 −0.141421
\(51\) −3.95243 2.06018i −0.553450 0.288483i
\(52\) −3.56832 + 2.06017i −0.494837 + 0.285694i
\(53\) 4.57343 7.92141i 0.628209 1.08809i −0.359702 0.933067i \(-0.617122\pi\)
0.987911 0.155023i \(-0.0495450\pi\)
\(54\) −3.15662 4.12744i −0.429562 0.561673i
\(55\) 1.52387 + 2.63942i 0.205479 + 0.355899i
\(56\) −4.66317 −0.623143
\(57\) 6.78818 + 3.30464i 0.899116 + 0.437711i
\(58\) 1.98441 0.260566
\(59\) 6.02522 + 10.4360i 0.784417 + 1.35865i 0.929347 + 0.369208i \(0.120371\pi\)
−0.144930 + 0.989442i \(0.546296\pi\)
\(60\) 1.46129 0.929852i 0.188652 0.120043i
\(61\) −6.95089 + 12.0393i −0.889971 + 1.54147i −0.0500626 + 0.998746i \(0.515942\pi\)
−0.839908 + 0.542729i \(0.817391\pi\)
\(62\) 3.72120 2.14844i 0.472593 0.272852i
\(63\) 5.92573 12.6725i 0.746572 1.59659i
\(64\) 1.00000 0.125000
\(65\) 4.12034 0.511066
\(66\) −4.68109 2.43999i −0.576202 0.300342i
\(67\) −2.56373 1.48017i −0.313210 0.180832i 0.335152 0.942164i \(-0.391212\pi\)
−0.648362 + 0.761332i \(0.724546\pi\)
\(68\) 2.57333i 0.312062i
\(69\) −0.0505172 1.17136i −0.00608156 0.141015i
\(70\) 4.03843 + 2.33159i 0.482684 + 0.278678i
\(71\) 6.25422 + 10.8326i 0.742239 + 1.28560i 0.951473 + 0.307731i \(0.0995696\pi\)
−0.209234 + 0.977866i \(0.567097\pi\)
\(72\) −1.27075 + 2.71757i −0.149759 + 0.320269i
\(73\) 2.18577 + 3.78586i 0.255825 + 0.443101i 0.965119 0.261811i \(-0.0843197\pi\)
−0.709295 + 0.704912i \(0.750986\pi\)
\(74\) 3.89481 2.24867i 0.452763 0.261403i
\(75\) −1.73044 + 0.0746290i −0.199814 + 0.00861742i
\(76\) −0.119625 4.35726i −0.0137219 0.499812i
\(77\) 14.2121i 1.61962i
\(78\) −6.02102 + 3.83131i −0.681747 + 0.433810i
\(79\) 6.74543 3.89448i 0.758921 0.438163i −0.0699875 0.997548i \(-0.522296\pi\)
0.828908 + 0.559385i \(0.188963\pi\)
\(80\) −0.866025 0.500000i −0.0968246 0.0559017i
\(81\) −5.77038 6.90671i −0.641154 0.767413i
\(82\) −1.65691 + 2.86985i −0.182975 + 0.316922i
\(83\) 2.61607i 0.287151i −0.989639 0.143576i \(-0.954140\pi\)
0.989639 0.143576i \(-0.0458601\pi\)
\(84\) −8.06935 + 0.348008i −0.880438 + 0.0379708i
\(85\) 1.28666 2.22857i 0.139558 0.241722i
\(86\) 2.86613 4.96428i 0.309062 0.535312i
\(87\) 3.43390 0.148094i 0.368153 0.0158774i
\(88\) 3.04774i 0.324890i
\(89\) −4.81262 + 8.33571i −0.510137 + 0.883583i 0.489794 + 0.871838i \(0.337072\pi\)
−0.999931 + 0.0117449i \(0.996261\pi\)
\(90\) 2.45929 1.71811i 0.259232 0.181105i
\(91\) −16.6397 9.60693i −1.74431 1.00708i
\(92\) −0.586222 + 0.338456i −0.0611179 + 0.0352864i
\(93\) 6.27899 3.99546i 0.651101 0.414310i
\(94\) 8.76281i 0.903815i
\(95\) −2.07503 + 3.83331i −0.212894 + 0.393289i
\(96\) 1.73044 0.0746290i 0.176613 0.00761679i
\(97\) −8.00346 + 4.62080i −0.812628 + 0.469171i −0.847868 0.530208i \(-0.822114\pi\)
0.0352396 + 0.999379i \(0.488781\pi\)
\(98\) −7.37259 12.7697i −0.744744 1.28993i
\(99\) −8.28245 3.87292i −0.832417 0.389243i
\(100\) 0.500000 + 0.866025i 0.0500000 + 0.0866025i
\(101\) −9.90594 5.71920i −0.985678 0.569081i −0.0816985 0.996657i \(-0.526034\pi\)
−0.903980 + 0.427576i \(0.859368\pi\)
\(102\) 0.192045 + 4.45299i 0.0190153 + 0.440912i
\(103\) 17.4744i 1.72181i 0.508767 + 0.860904i \(0.330101\pi\)
−0.508767 + 0.860904i \(0.669899\pi\)
\(104\) 3.56832 + 2.06017i 0.349903 + 0.202016i
\(105\) 7.16227 + 3.73329i 0.698966 + 0.364332i
\(106\) −9.14686 −0.888422
\(107\) −18.8110 −1.81853 −0.909265 0.416217i \(-0.863356\pi\)
−0.909265 + 0.416217i \(0.863356\pi\)
\(108\) −1.99615 + 4.79743i −0.192080 + 0.461633i
\(109\) −6.30002 + 3.63732i −0.603432 + 0.348392i −0.770391 0.637572i \(-0.779939\pi\)
0.166958 + 0.985964i \(0.446605\pi\)
\(110\) 1.52387 2.63942i 0.145295 0.251659i
\(111\) 6.57193 4.18186i 0.623780 0.396925i
\(112\) 2.33159 + 4.03843i 0.220314 + 0.381595i
\(113\) −12.7918 −1.20335 −0.601675 0.798741i \(-0.705500\pi\)
−0.601675 + 0.798741i \(0.705500\pi\)
\(114\) −0.532181 7.53105i −0.0498433 0.705348i
\(115\) 0.676911 0.0631223
\(116\) −0.992204 1.71855i −0.0921238 0.159563i
\(117\) −10.1331 + 7.07920i −0.936806 + 0.654472i
\(118\) 6.02522 10.4360i 0.554667 0.960711i
\(119\) −10.3922 + 5.99993i −0.952650 + 0.550013i
\(120\) −1.53592 0.800591i −0.140210 0.0730836i
\(121\) 1.71128 0.155571
\(122\) 13.9018 1.25861
\(123\) −2.65301 + 5.08976i −0.239214 + 0.458928i
\(124\) −3.72120 2.14844i −0.334174 0.192935i
\(125\) 1.00000i 0.0894427i
\(126\) −13.9376 + 1.20442i −1.24166 + 0.107298i
\(127\) −17.7898 10.2710i −1.57859 0.911401i −0.995056 0.0993135i \(-0.968335\pi\)
−0.583536 0.812087i \(-0.698331\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) 4.58919 8.80429i 0.404055 0.775174i
\(130\) −2.06017 3.56832i −0.180689 0.312962i
\(131\) 3.28692 1.89770i 0.287180 0.165803i −0.349490 0.936940i \(-0.613645\pi\)
0.636669 + 0.771137i \(0.280312\pi\)
\(132\) 0.227450 + 5.27394i 0.0197970 + 0.459037i
\(133\) 17.3175 10.6424i 1.50162 0.922815i
\(134\) 2.96034i 0.255735i
\(135\) 4.12744 3.15662i 0.355233 0.271679i
\(136\) 2.22857 1.28666i 0.191098 0.110330i
\(137\) 5.64269 + 3.25781i 0.482087 + 0.278333i 0.721286 0.692637i \(-0.243551\pi\)
−0.239199 + 0.970971i \(0.576885\pi\)
\(138\) −0.989165 + 0.629427i −0.0842033 + 0.0535804i
\(139\) 4.11100 7.12045i 0.348690 0.603949i −0.637327 0.770594i \(-0.719960\pi\)
0.986017 + 0.166645i \(0.0532932\pi\)
\(140\) 4.66317i 0.394110i
\(141\) 0.653960 + 15.1635i 0.0550734 + 1.27700i
\(142\) 6.25422 10.8326i 0.524843 0.909054i
\(143\) −6.27887 + 10.8753i −0.525065 + 0.909439i
\(144\) 2.98886 0.258282i 0.249072 0.0215235i
\(145\) 1.98441i 0.164796i
\(146\) 2.18577 3.78586i 0.180895 0.313320i
\(147\) −13.7108 21.5470i −1.13085 1.77717i
\(148\) −3.89481 2.24867i −0.320151 0.184840i
\(149\) 2.16323 1.24894i 0.177219 0.102317i −0.408767 0.912639i \(-0.634041\pi\)
0.585985 + 0.810322i \(0.300708\pi\)
\(150\) 0.929852 + 1.46129i 0.0759221 + 0.119314i
\(151\) 9.36390i 0.762023i 0.924570 + 0.381012i \(0.124424\pi\)
−0.924570 + 0.381012i \(0.875576\pi\)
\(152\) −3.71368 + 2.28223i −0.301219 + 0.185113i
\(153\) 0.664645 + 7.69131i 0.0537333 + 0.621806i
\(154\) −12.3081 + 7.10607i −0.991813 + 0.572623i
\(155\) 2.14844 + 3.72120i 0.172567 + 0.298894i
\(156\) 6.32852 + 3.29871i 0.506687 + 0.264108i
\(157\) 7.71370 + 13.3605i 0.615620 + 1.06629i 0.990275 + 0.139121i \(0.0444277\pi\)
−0.374655 + 0.927164i \(0.622239\pi\)
\(158\) −6.74543 3.89448i −0.536638 0.309828i
\(159\) −15.8281 + 0.682621i −1.25525 + 0.0541354i
\(160\) 1.00000i 0.0790569i
\(161\) −2.73366 1.57828i −0.215442 0.124386i
\(162\) −3.09620 + 8.45065i −0.243260 + 0.663946i
\(163\) 7.94366 0.622196 0.311098 0.950378i \(-0.399303\pi\)
0.311098 + 0.950378i \(0.399303\pi\)
\(164\) 3.31382 0.258766
\(165\) 2.43999 4.68109i 0.189953 0.364422i
\(166\) −2.26559 + 1.30804i −0.175844 + 0.101523i
\(167\) −2.97913 + 5.16001i −0.230532 + 0.399293i −0.957965 0.286886i \(-0.907380\pi\)
0.727433 + 0.686179i \(0.240713\pi\)
\(168\) 4.33606 + 6.81426i 0.334534 + 0.525732i
\(169\) 1.98861 + 3.44437i 0.152970 + 0.264952i
\(170\) −2.57333 −0.197365
\(171\) −1.48294 12.9923i −0.113404 0.993549i
\(172\) −5.73225 −0.437080
\(173\) −4.02441 6.97047i −0.305970 0.529955i 0.671507 0.740998i \(-0.265647\pi\)
−0.977477 + 0.211043i \(0.932314\pi\)
\(174\) −1.84521 2.89980i −0.139885 0.219833i
\(175\) −2.33159 + 4.03843i −0.176251 + 0.305276i
\(176\) 2.63942 1.52387i 0.198954 0.114866i
\(177\) 9.64747 18.5085i 0.725148 1.39119i
\(178\) 9.62524 0.721443
\(179\) 9.52738 0.712109 0.356055 0.934465i \(-0.384122\pi\)
0.356055 + 0.934465i \(0.384122\pi\)
\(180\) −2.71757 1.27075i −0.202556 0.0947162i
\(181\) −14.9311 8.62045i −1.10982 0.640753i −0.171035 0.985265i \(-0.554711\pi\)
−0.938782 + 0.344512i \(0.888045\pi\)
\(182\) 19.2139i 1.42423i
\(183\) 24.0562 1.03748i 1.77829 0.0766925i
\(184\) 0.586222 + 0.338456i 0.0432169 + 0.0249513i
\(185\) 2.24867 + 3.89481i 0.165325 + 0.286352i
\(186\) −6.59966 3.44004i −0.483911 0.252236i
\(187\) 3.92141 + 6.79209i 0.286762 + 0.496687i
\(188\) 7.58882 4.38141i 0.553472 0.319547i
\(189\) −24.0283 + 3.12432i −1.74780 + 0.227261i
\(190\) 4.35726 0.119625i 0.316109 0.00867847i
\(191\) 14.9575i 1.08228i −0.840931 0.541142i \(-0.817992\pi\)
0.840931 0.541142i \(-0.182008\pi\)
\(192\) −0.929852 1.46129i −0.0671063 0.105460i
\(193\) 18.0958 10.4476i 1.30257 0.752037i 0.321723 0.946834i \(-0.395738\pi\)
0.980844 + 0.194797i \(0.0624047\pi\)
\(194\) 8.00346 + 4.62080i 0.574615 + 0.331754i
\(195\) −3.83131 6.02102i −0.274366 0.431175i
\(196\) −7.37259 + 12.7697i −0.526614 + 0.912122i
\(197\) 22.6541i 1.61404i 0.590526 + 0.807019i \(0.298920\pi\)
−0.590526 + 0.807019i \(0.701080\pi\)
\(198\) 0.787178 + 9.10927i 0.0559423 + 0.647368i
\(199\) 3.33437 5.77531i 0.236367 0.409401i −0.723302 0.690532i \(-0.757376\pi\)
0.959669 + 0.281132i \(0.0907097\pi\)
\(200\) 0.500000 0.866025i 0.0353553 0.0612372i
\(201\) 0.220927 + 5.12270i 0.0155830 + 0.361327i
\(202\) 11.4384i 0.804803i
\(203\) 4.62682 8.01389i 0.324739 0.562465i
\(204\) 3.76038 2.39281i 0.263279 0.167530i
\(205\) −2.86985 1.65691i −0.200439 0.115724i
\(206\) 15.1333 8.73722i 1.05439 0.608751i
\(207\) −1.66472 + 1.16301i −0.115706 + 0.0808346i
\(208\) 4.12034i 0.285694i
\(209\) −6.95563 11.3183i −0.481131 0.782906i
\(210\) −0.348008 8.06935i −0.0240148 0.556838i
\(211\) 21.3930 12.3513i 1.47276 0.850297i 0.473227 0.880941i \(-0.343089\pi\)
0.999530 + 0.0306440i \(0.00975581\pi\)
\(212\) 4.57343 + 7.92141i 0.314104 + 0.544045i
\(213\) 10.0141 19.2120i 0.686158 1.31638i
\(214\) 9.40551 + 16.2908i 0.642948 + 1.11362i
\(215\) 4.96428 + 2.86613i 0.338561 + 0.195468i
\(216\) 5.15278 0.669999i 0.350602 0.0455876i
\(217\) 20.0371i 1.36021i
\(218\) 6.30002 + 3.63732i 0.426691 + 0.246350i
\(219\) 3.49981 6.71433i 0.236495 0.453713i
\(220\) −3.04774 −0.205479
\(221\) 10.6030 0.713234
\(222\) −6.90756 3.60053i −0.463605 0.241652i
\(223\) −4.59604 + 2.65352i −0.307774 + 0.177693i −0.645930 0.763397i \(-0.723530\pi\)
0.338156 + 0.941090i \(0.390197\pi\)
\(224\) 2.33159 4.03843i 0.155786 0.269829i
\(225\) 1.71811 + 2.45929i 0.114541 + 0.163953i
\(226\) 6.39589 + 11.0780i 0.425448 + 0.736898i
\(227\) −5.17010 −0.343152 −0.171576 0.985171i \(-0.554886\pi\)
−0.171576 + 0.985171i \(0.554886\pi\)
\(228\) −6.25599 + 4.22641i −0.414313 + 0.279901i
\(229\) −12.5671 −0.830459 −0.415230 0.909717i \(-0.636299\pi\)
−0.415230 + 0.909717i \(0.636299\pi\)
\(230\) −0.338456 0.586222i −0.0223171 0.0386544i
\(231\) −20.7681 + 13.2152i −1.36644 + 0.869495i
\(232\) −0.992204 + 1.71855i −0.0651414 + 0.112828i
\(233\) −20.8093 + 12.0142i −1.36326 + 0.787079i −0.990057 0.140669i \(-0.955075\pi\)
−0.373205 + 0.927749i \(0.621741\pi\)
\(234\) 11.1973 + 5.23593i 0.731992 + 0.342283i
\(235\) −8.76281 −0.571623
\(236\) −12.0504 −0.784417
\(237\) −11.9632 6.23576i −0.777095 0.405056i
\(238\) 10.3922 + 5.99993i 0.673625 + 0.388918i
\(239\) 12.9191i 0.835668i −0.908523 0.417834i \(-0.862789\pi\)
0.908523 0.417834i \(-0.137211\pi\)
\(240\) 0.0746290 + 1.73044i 0.00481728 + 0.111700i
\(241\) 18.3610 + 10.6007i 1.18273 + 0.682851i 0.956645 0.291256i \(-0.0940731\pi\)
0.226088 + 0.974107i \(0.427406\pi\)
\(242\) −0.855640 1.48201i −0.0550026 0.0952674i
\(243\) −4.72713 + 14.8544i −0.303245 + 0.952912i
\(244\) −6.95089 12.0393i −0.444985 0.770737i
\(245\) 12.7697 7.37259i 0.815826 0.471018i
\(246\) 5.73437 0.247307i 0.365610 0.0157677i
\(247\) −17.9534 + 0.492894i −1.14235 + 0.0313621i
\(248\) 4.29688i 0.272852i
\(249\) −3.82285 + 2.43256i −0.242263 + 0.154157i
\(250\) −0.866025 + 0.500000i −0.0547723 + 0.0316228i
\(251\) 16.2979 + 9.40959i 1.02871 + 0.593928i 0.916616 0.399769i \(-0.130910\pi\)
0.112098 + 0.993697i \(0.464243\pi\)
\(252\) 8.01184 + 11.4681i 0.504699 + 0.722422i
\(253\) −1.03152 + 1.78665i −0.0648514 + 0.112326i
\(254\) 20.5419i 1.28892i
\(255\) −4.45299 + 0.192045i −0.278857 + 0.0120263i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 4.00449 6.93597i 0.249793 0.432654i −0.713675 0.700477i \(-0.752971\pi\)
0.963468 + 0.267823i \(0.0863041\pi\)
\(258\) −9.91933 + 0.427792i −0.617550 + 0.0266332i
\(259\) 20.9719i 1.30313i
\(260\) −2.06017 + 3.56832i −0.127766 + 0.221298i
\(261\) −3.40943 4.88023i −0.211038 0.302079i
\(262\) −3.28692 1.89770i −0.203067 0.117241i
\(263\) 24.6525 14.2331i 1.52014 0.877653i 0.520421 0.853910i \(-0.325775\pi\)
0.999718 0.0237431i \(-0.00755838\pi\)
\(264\) 4.45364 2.83395i 0.274103 0.174417i
\(265\) 9.14686i 0.561887i
\(266\) −17.8754 9.67623i −1.09601 0.593288i
\(267\) 16.6559 0.718322i 1.01933 0.0439606i
\(268\) 2.56373 1.48017i 0.156605 0.0904158i
\(269\) 2.93694 + 5.08693i 0.179068 + 0.310155i 0.941562 0.336841i \(-0.109358\pi\)
−0.762493 + 0.646996i \(0.776025\pi\)
\(270\) −4.79743 1.99615i −0.291963 0.121482i
\(271\) −6.85354 11.8707i −0.416323 0.721092i 0.579243 0.815155i \(-0.303348\pi\)
−0.995566 + 0.0940622i \(0.970015\pi\)
\(272\) −2.22857 1.28666i −0.135127 0.0780154i
\(273\) 1.43391 + 33.2485i 0.0867843 + 2.01229i
\(274\) 6.51561i 0.393622i
\(275\) 2.63942 + 1.52387i 0.159163 + 0.0918928i
\(276\) 1.03968 + 0.541929i 0.0625815 + 0.0326203i
\(277\) 15.1954 0.913004 0.456502 0.889722i \(-0.349102\pi\)
0.456502 + 0.889722i \(0.349102\pi\)
\(278\) −8.22199 −0.493122
\(279\) −11.6771 5.46026i −0.699087 0.326897i
\(280\) −4.03843 + 2.33159i −0.241342 + 0.139339i
\(281\) 4.27607 7.40636i 0.255089 0.441827i −0.709831 0.704372i \(-0.751229\pi\)
0.964920 + 0.262545i \(0.0845620\pi\)
\(282\) 12.8050 8.14812i 0.762529 0.485213i
\(283\) −14.1879 24.5741i −0.843382 1.46078i −0.887019 0.461734i \(-0.847228\pi\)
0.0436361 0.999047i \(-0.486106\pi\)
\(284\) −12.5084 −0.742239
\(285\) 7.53105 0.532181i 0.446101 0.0315237i
\(286\) 12.5577 0.742554
\(287\) 7.72645 + 13.3826i 0.456078 + 0.789950i
\(288\) −1.71811 2.45929i −0.101241 0.144915i
\(289\) −5.18900 + 8.98761i −0.305235 + 0.528683i
\(290\) 1.71855 0.992204i 0.100917 0.0582642i
\(291\) 14.1944 + 7.39874i 0.832089 + 0.433722i
\(292\) −4.37153 −0.255825
\(293\) −7.22309 −0.421977 −0.210989 0.977489i \(-0.567668\pi\)
−0.210989 + 0.977489i \(0.567668\pi\)
\(294\) −11.8049 + 22.6474i −0.688473 + 1.32083i
\(295\) 10.4360 + 6.02522i 0.607607 + 0.350802i
\(296\) 4.49734i 0.261403i
\(297\) 2.04198 + 15.7043i 0.118488 + 0.911257i
\(298\) −2.16323 1.24894i −0.125313 0.0723493i
\(299\) 1.39455 + 2.41544i 0.0806491 + 0.139688i
\(300\) 0.800591 1.53592i 0.0462221 0.0886765i
\(301\) −13.3652 23.1493i −0.770360 1.33430i
\(302\) 8.10937 4.68195i 0.466642 0.269416i
\(303\) 0.853636 + 19.7935i 0.0490401 + 1.13711i
\(304\) 3.83331 + 2.07503i 0.219855 + 0.119011i
\(305\) 13.9018i 0.796014i
\(306\) 6.32855 4.42125i 0.361779 0.252746i
\(307\) 0.356034 0.205556i 0.0203199 0.0117317i −0.489806 0.871832i \(-0.662932\pi\)
0.510126 + 0.860100i \(0.329599\pi\)
\(308\) 12.3081 + 7.10607i 0.701318 + 0.404906i
\(309\) 25.5353 16.2486i 1.45265 0.924353i
\(310\) 2.14844 3.72120i 0.122023 0.211350i
\(311\) 10.4640i 0.593361i 0.954977 + 0.296680i \(0.0958796\pi\)
−0.954977 + 0.296680i \(0.904120\pi\)
\(312\) −0.307497 7.13001i −0.0174086 0.403658i
\(313\) −0.872105 + 1.51053i −0.0492943 + 0.0853802i −0.889620 0.456702i \(-0.849031\pi\)
0.840325 + 0.542082i \(0.182364\pi\)
\(314\) 7.71370 13.3605i 0.435309 0.753978i
\(315\) −1.20442 13.9376i −0.0678611 0.785293i
\(316\) 7.78896i 0.438163i
\(317\) 10.2023 17.6710i 0.573021 0.992501i −0.423233 0.906021i \(-0.639105\pi\)
0.996254 0.0864798i \(-0.0275618\pi\)
\(318\) 8.50522 + 13.3662i 0.476949 + 0.749541i
\(319\) −5.23769 3.02398i −0.293254 0.169310i
\(320\) 0.866025 0.500000i 0.0484123 0.0279508i
\(321\) 17.4915 + 27.4884i 0.976278 + 1.53425i
\(322\) 3.15655i 0.175908i
\(323\) −5.33973 + 9.86435i −0.297110 + 0.548867i
\(324\) 8.86658 1.54394i 0.492588 0.0857745i
\(325\) 3.56832 2.06017i 0.197935 0.114278i
\(326\) −3.97183 6.87941i −0.219979 0.381015i
\(327\) 11.1733 + 5.82400i 0.617883 + 0.322068i
\(328\) −1.65691 2.86985i −0.0914875 0.158461i
\(329\) 35.3880 + 20.4313i 1.95100 + 1.12641i
\(330\) −5.27394 + 0.227450i −0.290321 + 0.0125207i
\(331\) 3.45155i 0.189714i 0.995491 + 0.0948572i \(0.0302395\pi\)
−0.995491 + 0.0948572i \(0.969761\pi\)
\(332\) 2.26559 + 1.30804i 0.124340 + 0.0717879i
\(333\) −12.2218 5.71500i −0.669753 0.313180i
\(334\) 5.95826 0.326022
\(335\) −2.96034 −0.161741
\(336\) 3.73329 7.16227i 0.203668 0.390734i
\(337\) −23.1281 + 13.3530i −1.25987 + 0.727384i −0.973049 0.230601i \(-0.925931\pi\)
−0.286818 + 0.957985i \(0.592598\pi\)
\(338\) 1.98861 3.44437i 0.108166 0.187349i
\(339\) 11.8945 + 18.6925i 0.646019 + 1.01524i
\(340\) 1.28666 + 2.22857i 0.0697791 + 0.120861i
\(341\) −13.0958 −0.709175
\(342\) −10.5102 + 7.78044i −0.568328 + 0.420718i
\(343\) −36.1171 −1.95014
\(344\) 2.86613 + 4.96428i 0.154531 + 0.267656i
\(345\) −0.629427 0.989165i −0.0338872 0.0532549i
\(346\) −4.02441 + 6.97047i −0.216353 + 0.374735i
\(347\) 14.4663 8.35210i 0.776590 0.448364i −0.0586306 0.998280i \(-0.518673\pi\)
0.835220 + 0.549915i \(0.185340\pi\)
\(348\) −1.58870 + 3.04790i −0.0851632 + 0.163384i
\(349\) 32.2768 1.72773 0.863867 0.503719i \(-0.168035\pi\)
0.863867 + 0.503719i \(0.168035\pi\)
\(350\) 4.66317 0.249257
\(351\) 19.7671 + 8.22483i 1.05509 + 0.439009i
\(352\) −2.63942 1.52387i −0.140682 0.0812225i
\(353\) 15.2843i 0.813501i 0.913539 + 0.406751i \(0.133338\pi\)
−0.913539 + 0.406751i \(0.866662\pi\)
\(354\) −20.8526 + 0.899313i −1.10830 + 0.0477979i
\(355\) 10.8326 + 6.25422i 0.574936 + 0.331940i
\(356\) −4.81262 8.33571i −0.255068 0.441792i
\(357\) 18.4308 + 9.60697i 0.975464 + 0.508455i
\(358\) −4.76369 8.25095i −0.251769 0.436076i
\(359\) 0.917556 0.529751i 0.0484267 0.0279592i −0.475591 0.879666i \(-0.657766\pi\)
0.524018 + 0.851707i \(0.324432\pi\)
\(360\) 0.258282 + 2.98886i 0.0136127 + 0.157527i
\(361\) 8.58288 16.9509i 0.451731 0.892154i
\(362\) 17.2409i 0.906162i
\(363\) −1.59124 2.50068i −0.0835183 0.131252i
\(364\) 16.6397 9.60693i 0.872157 0.503540i
\(365\) 3.78586 + 2.18577i 0.198161 + 0.114408i
\(366\) −12.9266 20.3146i −0.675684 1.06186i
\(367\) 10.2507 17.7547i 0.535080 0.926786i −0.464079 0.885794i \(-0.653615\pi\)
0.999159 0.0409927i \(-0.0130520\pi\)
\(368\) 0.676911i 0.0352864i
\(369\) 9.90454 0.855901i 0.515610 0.0445564i
\(370\) 2.24867 3.89481i 0.116903 0.202482i
\(371\) −21.3267 + 36.9389i −1.10723 + 1.91777i
\(372\) 0.320672 + 7.43549i 0.0166260 + 0.385512i
\(373\) 14.8122i 0.766944i 0.923552 + 0.383472i \(0.125272\pi\)
−0.923552 + 0.383472i \(0.874728\pi\)
\(374\) 3.92141 6.79209i 0.202771 0.351210i
\(375\) −1.46129 + 0.929852i −0.0754608 + 0.0480173i
\(376\) −7.58882 4.38141i −0.391364 0.225954i
\(377\) −7.08101 + 4.08822i −0.364690 + 0.210554i
\(378\) 14.7199 + 19.2469i 0.757109 + 0.989956i
\(379\) 4.23226i 0.217397i −0.994075 0.108698i \(-0.965332\pi\)
0.994075 0.108698i \(-0.0346682\pi\)
\(380\) −2.28223 3.71368i −0.117076 0.190508i
\(381\) 1.53302 + 35.5466i 0.0785392 + 1.82111i
\(382\) −12.9535 + 7.47873i −0.662761 + 0.382645i
\(383\) −11.7377 20.3303i −0.599768 1.03883i −0.992855 0.119328i \(-0.961926\pi\)
0.393087 0.919501i \(-0.371407\pi\)
\(384\) −0.800591 + 1.53592i −0.0408550 + 0.0783797i
\(385\) −7.10607 12.3081i −0.362159 0.627278i
\(386\) −18.0958 10.4476i −0.921054 0.531771i
\(387\) −17.1329 + 1.48054i −0.870914 + 0.0752601i
\(388\) 9.24160i 0.469171i
\(389\) −14.8140 8.55289i −0.751102 0.433649i 0.0749902 0.997184i \(-0.476107\pi\)
−0.826092 + 0.563536i \(0.809441\pi\)
\(390\) −3.29871 + 6.32852i −0.167037 + 0.320457i
\(391\) 1.74191 0.0880923
\(392\) 14.7452 0.744744
\(393\) −5.82945 3.03857i −0.294057 0.153275i
\(394\) 19.6190 11.3270i 0.988392 0.570648i
\(395\) 3.89448 6.74543i 0.195952 0.339400i
\(396\) 7.49527 5.23635i 0.376652 0.263137i
\(397\) 3.27587 + 5.67397i 0.164411 + 0.284768i 0.936446 0.350812i \(-0.114094\pi\)
−0.772035 + 0.635580i \(0.780761\pi\)
\(398\) −6.66875 −0.334274
\(399\) −31.6544 15.4101i −1.58470 0.771472i
\(400\) −1.00000 −0.0500000
\(401\) 12.4043 + 21.4849i 0.619442 + 1.07290i 0.989588 + 0.143931i \(0.0459744\pi\)
−0.370146 + 0.928974i \(0.620692\pi\)
\(402\) 4.32592 2.75268i 0.215758 0.137291i
\(403\) −8.85230 + 15.3326i −0.440964 + 0.763773i
\(404\) 9.90594 5.71920i 0.492839 0.284541i
\(405\) −8.45065 3.09620i −0.419916 0.153851i
\(406\) −9.25364 −0.459250
\(407\) −13.7067 −0.679417
\(408\) −3.95243 2.06018i −0.195674 0.101994i
\(409\) 2.94189 + 1.69850i 0.145467 + 0.0839854i 0.570967 0.820973i \(-0.306568\pi\)
−0.425500 + 0.904958i \(0.639902\pi\)
\(410\) 3.31382i 0.163658i
\(411\) −0.486254 11.2749i −0.0239851 0.556149i
\(412\) −15.1333 8.73722i −0.745565 0.430452i
\(413\) −28.0966 48.6648i −1.38255 2.39464i
\(414\) 1.83955 + 0.860186i 0.0904092 + 0.0422758i
\(415\) −1.30804 2.26559i −0.0642090 0.111213i
\(416\) −3.56832 + 2.06017i −0.174951 + 0.101008i
\(417\) −14.2277 + 0.613599i −0.696733 + 0.0300481i
\(418\) −6.32415 + 11.6829i −0.309324 + 0.571431i
\(419\) 25.4266i 1.24217i −0.783742 0.621086i \(-0.786692\pi\)
0.783742 0.621086i \(-0.213308\pi\)
\(420\) −6.81426 + 4.33606i −0.332502 + 0.211578i
\(421\) 9.79175 5.65327i 0.477221 0.275523i −0.242037 0.970267i \(-0.577815\pi\)
0.719257 + 0.694744i \(0.244482\pi\)
\(422\) −21.3930 12.3513i −1.04140 0.601251i
\(423\) 21.5503 15.0555i 1.04781 0.732022i
\(424\) 4.57343 7.92141i 0.222105 0.384698i
\(425\) 2.57333i 0.124825i
\(426\) −21.6451 + 0.933493i −1.04871 + 0.0452279i
\(427\) 32.4132 56.1413i 1.56859 2.71687i
\(428\) 9.40551 16.2908i 0.454633 0.787447i
\(429\) 21.7304 0.937171i 1.04915 0.0452470i
\(430\) 5.73225i 0.276434i
\(431\) 0.210664 0.364881i 0.0101473 0.0175757i −0.860907 0.508762i \(-0.830103\pi\)
0.871054 + 0.491186i \(0.163437\pi\)
\(432\) −3.15662 4.12744i −0.151873 0.198581i
\(433\) 4.84430 + 2.79686i 0.232802 + 0.134409i 0.611864 0.790963i \(-0.290420\pi\)
−0.379062 + 0.925371i \(0.623753\pi\)
\(434\) −17.3526 + 10.0185i −0.832952 + 0.480905i
\(435\) 2.89980 1.84521i 0.139035 0.0884708i
\(436\) 7.27464i 0.348392i
\(437\) −2.94948 + 0.0809752i −0.141093 + 0.00387357i
\(438\) −7.56469 + 0.326243i −0.361455 + 0.0155885i
\(439\) −33.0674 + 19.0915i −1.57822 + 0.911186i −0.583113 + 0.812391i \(0.698165\pi\)
−0.995108 + 0.0987947i \(0.968501\pi\)
\(440\) 1.52387 + 2.63942i 0.0726477 + 0.125829i
\(441\) −18.7375 + 40.0711i −0.892260 + 1.90815i
\(442\) −5.30149 9.18245i −0.252166 0.436765i
\(443\) 22.2103 + 12.8231i 1.05524 + 0.609246i 0.924113 0.382119i \(-0.124806\pi\)
0.131132 + 0.991365i \(0.458139\pi\)
\(444\) 0.335632 + 7.78239i 0.0159284 + 0.369336i
\(445\) 9.62524i 0.456280i
\(446\) 4.59604 + 2.65352i 0.217629 + 0.125648i
\(447\) −3.83655 1.99978i −0.181463 0.0945864i
\(448\) −4.66317 −0.220314
\(449\) 23.6894 1.11797 0.558986 0.829177i \(-0.311191\pi\)
0.558986 + 0.829177i \(0.311191\pi\)
\(450\) 1.27075 2.71757i 0.0599038 0.128108i
\(451\) 8.74656 5.04983i 0.411859 0.237787i
\(452\) 6.39589 11.0780i 0.300837 0.521066i
\(453\) 13.6834 8.70704i 0.642902 0.409092i
\(454\) 2.58505 + 4.47744i 0.121322 + 0.210137i
\(455\) −19.2139 −0.900760
\(456\) 6.78818 + 3.30464i 0.317885 + 0.154754i
\(457\) −17.2801 −0.808330 −0.404165 0.914686i \(-0.632438\pi\)
−0.404165 + 0.914686i \(0.632438\pi\)
\(458\) 6.28356 + 10.8835i 0.293612 + 0.508550i
\(459\) 10.6212 8.12302i 0.495757 0.379150i
\(460\) −0.338456 + 0.586222i −0.0157806 + 0.0273328i
\(461\) −27.4943 + 15.8738i −1.28053 + 0.739317i −0.976946 0.213486i \(-0.931518\pi\)
−0.303589 + 0.952803i \(0.598185\pi\)
\(462\) 21.8287 + 11.3781i 1.01556 + 0.529357i
\(463\) −24.4190 −1.13485 −0.567423 0.823426i \(-0.692060\pi\)
−0.567423 + 0.823426i \(0.692060\pi\)
\(464\) 1.98441 0.0921238
\(465\) 3.44004 6.59966i 0.159528 0.306052i
\(466\) 20.8093 + 12.0142i 0.963972 + 0.556549i
\(467\) 13.4425i 0.622047i −0.950402 0.311023i \(-0.899328\pi\)
0.950402 0.311023i \(-0.100672\pi\)
\(468\) −1.06421 12.3151i −0.0491932 0.569267i
\(469\) 11.9551 + 6.90229i 0.552036 + 0.318718i
\(470\) 4.38141 + 7.58882i 0.202099 + 0.350046i
\(471\) 12.3510 23.6953i 0.569105 1.09182i
\(472\) 6.02522 + 10.4360i 0.277333 + 0.480355i
\(473\) −15.1298 + 8.73521i −0.695670 + 0.401645i
\(474\) 0.581282 + 13.4783i 0.0266992 + 0.619081i
\(475\) 0.119625 + 4.35726i 0.00548875 + 0.199925i
\(476\) 11.9999i 0.550013i
\(477\) 15.7153 + 22.4948i 0.719555 + 1.02996i
\(478\) −11.1883 + 6.45956i −0.511740 + 0.295453i
\(479\) −8.44584 4.87621i −0.385900 0.222800i 0.294482 0.955657i \(-0.404853\pi\)
−0.680382 + 0.732857i \(0.738186\pi\)
\(480\) 1.46129 0.929852i 0.0666986 0.0424417i
\(481\) −9.26529 + 16.0480i −0.422461 + 0.731724i
\(482\) 21.2014i 0.965697i
\(483\) 0.235571 + 5.46224i 0.0107188 + 0.248540i
\(484\) −0.855640 + 1.48201i −0.0388927 + 0.0673642i
\(485\) −4.62080 + 8.00346i −0.209820 + 0.363418i
\(486\) 15.2279 3.33340i 0.690751 0.151206i
\(487\) 16.0127i 0.725606i 0.931866 + 0.362803i \(0.118180\pi\)
−0.931866 + 0.362803i \(0.881820\pi\)
\(488\) −6.95089 + 12.0393i −0.314652 + 0.544994i
\(489\) −7.38643 11.6080i −0.334026 0.524932i
\(490\) −12.7697 7.37259i −0.576876 0.333060i
\(491\) 18.5831 10.7290i 0.838645 0.484192i −0.0181585 0.999835i \(-0.505780\pi\)
0.856803 + 0.515643i \(0.172447\pi\)
\(492\) −3.08136 4.84246i −0.138918 0.218315i
\(493\) 5.10653i 0.229986i
\(494\) 9.40355 + 15.3016i 0.423086 + 0.688454i
\(495\) −9.10927 + 0.787178i −0.409431 + 0.0353810i
\(496\) 3.72120 2.14844i 0.167087 0.0964677i
\(497\) −29.1645 50.5144i −1.30821 2.26588i
\(498\) 4.01809 + 2.09440i 0.180055 + 0.0938525i
\(499\) 9.93532 + 17.2085i 0.444766 + 0.770358i 0.998036 0.0626445i \(-0.0199534\pi\)
−0.553270 + 0.833002i \(0.686620\pi\)
\(500\) 0.866025 + 0.500000i 0.0387298 + 0.0223607i
\(501\) 10.3104 0.444659i 0.460636 0.0198659i
\(502\) 18.8192i 0.839941i
\(503\) −25.5440 14.7478i −1.13895 0.657574i −0.192780 0.981242i \(-0.561750\pi\)
−0.946171 + 0.323668i \(0.895084\pi\)
\(504\) 5.92573 12.6725i 0.263953 0.564478i
\(505\) −11.4384 −0.509002
\(506\) 2.06305 0.0917137
\(507\) 3.18412 6.10869i 0.141412 0.271297i
\(508\) 17.7898 10.2710i 0.789296 0.455700i
\(509\) 7.10434 12.3051i 0.314894 0.545413i −0.664521 0.747270i \(-0.731364\pi\)
0.979415 + 0.201857i \(0.0646976\pi\)
\(510\) 2.39281 + 3.76038i 0.105955 + 0.166512i
\(511\) −10.1926 17.6541i −0.450894 0.780972i
\(512\) 1.00000 0.0441942
\(513\) −17.6067 + 14.2480i −0.777354 + 0.629063i
\(514\) −8.00897 −0.353261
\(515\) 8.73722 + 15.1333i 0.385008 + 0.666854i
\(516\) 5.33014 + 8.37650i 0.234646 + 0.368755i
\(517\) 13.3534 23.1288i 0.587281 1.01720i
\(518\) −18.1622 + 10.4859i −0.798000 + 0.460726i
\(519\) −6.44380 + 12.3623i −0.282852 + 0.542647i
\(520\) 4.12034 0.180689
\(521\) 6.13334 0.268707 0.134353 0.990934i \(-0.457104\pi\)
0.134353 + 0.990934i \(0.457104\pi\)
\(522\) −2.52169 + 5.39277i −0.110371 + 0.236035i
\(523\) 3.86418 + 2.23098i 0.168969 + 0.0975541i 0.582099 0.813118i \(-0.302231\pi\)
−0.413131 + 0.910672i \(0.635565\pi\)
\(524\) 3.79541i 0.165803i
\(525\) 8.06935 0.348008i 0.352175 0.0151883i
\(526\) −24.6525 14.2331i −1.07490 0.620594i
\(527\) 5.52863 + 9.57587i 0.240831 + 0.417131i
\(528\) −4.68109 2.43999i −0.203718 0.106187i
\(529\) −11.2709 19.5218i −0.490039 0.848772i
\(530\) −7.92141 + 4.57343i −0.344084 + 0.198657i
\(531\) −36.0171 + 3.11242i −1.56301 + 0.135067i
\(532\) 0.557830 + 20.3186i 0.0241850 + 0.880925i
\(533\) 13.6541i 0.591423i
\(534\) −8.95005 14.0653i −0.387307 0.608665i
\(535\) −16.2908 + 9.40551i −0.704314 + 0.406636i
\(536\) −2.56373 1.48017i −0.110736 0.0639336i
\(537\) −8.85905 13.9223i −0.382296 0.600791i
\(538\) 2.93694 5.08693i 0.126620 0.219313i
\(539\) 44.9395i 1.93568i
\(540\) 0.669999 + 5.15278i 0.0288321 + 0.221740i
\(541\) 0.177929 0.308182i 0.00764975 0.0132498i −0.862175 0.506610i \(-0.830898\pi\)
0.869825 + 0.493360i \(0.164232\pi\)
\(542\) −6.85354 + 11.8707i −0.294385 + 0.509889i
\(543\) 1.28667 + 29.8344i 0.0552164 + 1.28032i
\(544\) 2.57333i 0.110330i
\(545\) −3.63732 + 6.30002i −0.155806 + 0.269863i
\(546\) 28.0771 17.8660i 1.20159 0.764596i
\(547\) 29.5616 + 17.0674i 1.26396 + 0.729750i 0.973839 0.227239i \(-0.0729700\pi\)
0.290124 + 0.956989i \(0.406303\pi\)
\(548\) −5.64269 + 3.25781i −0.241044 + 0.139167i
\(549\) −23.8848 34.1885i −1.01938 1.45913i
\(550\) 3.04774i 0.129956i
\(551\) −0.237384 8.64658i −0.0101129 0.368357i
\(552\) −0.0505172 1.17136i −0.00215016 0.0498562i
\(553\) −31.4551 + 18.1606i −1.33761 + 0.772268i
\(554\) −7.59771 13.1596i −0.322796 0.559098i
\(555\) 3.60053 6.90756i 0.152834 0.293210i
\(556\) 4.11100 + 7.12045i 0.174345 + 0.301974i
\(557\) −22.5889 13.0417i −0.957124 0.552596i −0.0618376 0.998086i \(-0.519696\pi\)
−0.895287 + 0.445490i \(0.853029\pi\)
\(558\) 1.10981 + 12.8428i 0.0469819 + 0.543677i
\(559\) 23.6188i 0.998970i
\(560\) 4.03843 + 2.33159i 0.170655 + 0.0985275i
\(561\) 6.27889 12.0460i 0.265095 0.508581i
\(562\) −8.55213 −0.360750
\(563\) −17.0740 −0.719585 −0.359792 0.933032i \(-0.617153\pi\)
−0.359792 + 0.933032i \(0.617153\pi\)
\(564\) −13.4590 7.01543i −0.566726 0.295403i
\(565\) −11.0780 + 6.39589i −0.466055 + 0.269077i
\(566\) −14.1879 + 24.5741i −0.596361 + 1.03293i
\(567\) 26.9083 + 32.2072i 1.13004 + 1.35258i
\(568\) 6.25422 + 10.8326i 0.262421 + 0.454527i
\(569\) −15.0406 −0.630534 −0.315267 0.949003i \(-0.602094\pi\)
−0.315267 + 0.949003i \(0.602094\pi\)
\(570\) −4.22641 6.25599i −0.177025 0.262035i
\(571\) 39.0424 1.63388 0.816938 0.576726i \(-0.195670\pi\)
0.816938 + 0.576726i \(0.195670\pi\)
\(572\) −6.27887 10.8753i −0.262533 0.454720i
\(573\) −21.8572 + 13.9082i −0.913099 + 0.581024i
\(574\) 7.72645 13.3826i 0.322496 0.558579i
\(575\) 0.586222 0.338456i 0.0244472 0.0141146i
\(576\) −1.27075 + 2.71757i −0.0529480 + 0.113232i
\(577\) 23.9982 0.999059 0.499529 0.866297i \(-0.333506\pi\)
0.499529 + 0.866297i \(0.333506\pi\)
\(578\) 10.3780 0.431668
\(579\) −32.0935 16.7286i −1.33376 0.695215i
\(580\) −1.71855 0.992204i −0.0713588 0.0411990i
\(581\) 12.1992i 0.506108i
\(582\) −0.689691 15.9921i −0.0285886 0.662892i
\(583\) 24.1424 + 13.9386i 0.999876 + 0.577279i
\(584\) 2.18577 + 3.78586i 0.0904477 + 0.156660i
\(585\) −5.23593 + 11.1973i −0.216479 + 0.462952i
\(586\) 3.61154 + 6.25538i 0.149191 + 0.258407i
\(587\) 28.1004 16.2238i 1.15983 0.669626i 0.208564 0.978009i \(-0.433121\pi\)
0.951262 + 0.308382i \(0.0997876\pi\)
\(588\) 25.5157 1.10042i 1.05225 0.0453805i
\(589\) −9.80644 15.9572i −0.404067 0.657506i
\(590\) 12.0504i 0.496109i
\(591\) 33.1043 21.0650i 1.36173 0.866496i
\(592\) 3.89481 2.24867i 0.160076 0.0924198i
\(593\) 15.6411 + 9.03038i 0.642302 + 0.370833i 0.785501 0.618861i \(-0.212406\pi\)
−0.143199 + 0.989694i \(0.545739\pi\)
\(594\) 12.5794 9.62057i 0.516137 0.394737i
\(595\) −5.99993 + 10.3922i −0.245973 + 0.426038i
\(596\) 2.49788i 0.102317i
\(597\) −11.5399 + 0.497682i −0.472296 + 0.0203688i
\(598\) 1.39455 2.41544i 0.0570275 0.0987745i
\(599\) −20.2381 + 35.0535i −0.826907 + 1.43225i 0.0735458 + 0.997292i \(0.476568\pi\)
−0.900453 + 0.434953i \(0.856765\pi\)
\(600\) −1.73044 + 0.0746290i −0.0706450 + 0.00304672i
\(601\) 20.2964i 0.827907i 0.910298 + 0.413953i \(0.135852\pi\)
−0.910298 + 0.413953i \(0.864148\pi\)
\(602\) −13.3652 + 23.1493i −0.544727 + 0.943494i
\(603\) 7.28033 5.08619i 0.296478 0.207126i
\(604\) −8.10937 4.68195i −0.329966 0.190506i
\(605\) 1.48201 0.855640i 0.0602524 0.0347867i
\(606\) 16.7148 10.6360i 0.678994 0.432058i
\(607\) 9.59148i 0.389306i 0.980872 + 0.194653i \(0.0623581\pi\)
−0.980872 + 0.194653i \(0.937642\pi\)
\(608\) −0.119625 4.35726i −0.00485141 0.176710i
\(609\) −16.0129 + 0.690590i −0.648875 + 0.0279841i
\(610\) 12.0393 6.95089i 0.487457 0.281433i
\(611\) −18.0529 31.2685i −0.730342 1.26499i
\(612\) −6.99319 3.27006i −0.282683 0.132184i
\(613\) −9.78722 16.9520i −0.395302 0.684683i 0.597838 0.801617i \(-0.296027\pi\)
−0.993140 + 0.116934i \(0.962693\pi\)
\(614\) −0.356034 0.205556i −0.0143684 0.00829558i
\(615\) 0.247307 + 5.73437i 0.00997238 + 0.231232i
\(616\) 14.2121i 0.572623i
\(617\) 15.9625 + 9.21594i 0.642625 + 0.371020i 0.785625 0.618703i \(-0.212341\pi\)
−0.143000 + 0.989723i \(0.545675\pi\)
\(618\) −26.8394 13.9899i −1.07964 0.562755i
\(619\) −24.8517 −0.998874 −0.499437 0.866350i \(-0.666460\pi\)
−0.499437 + 0.866350i \(0.666460\pi\)
\(620\) −4.29688 −0.172567
\(621\) 3.24744 + 1.35122i 0.130315 + 0.0542225i
\(622\) 9.06212 5.23202i 0.363358 0.209785i
\(623\) 22.4421 38.8708i 0.899123 1.55733i
\(624\) −6.02102 + 3.83131i −0.241034 + 0.153375i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 1.74421 0.0697126
\(627\) −10.0717 + 20.6886i −0.402225 + 0.826223i
\(628\) −15.4274 −0.615620
\(629\) 5.78656 + 10.0226i 0.230725 + 0.399628i
\(630\) −11.4681 + 8.01184i −0.456900 + 0.319199i
\(631\) −1.80191 + 3.12099i −0.0717327 + 0.124245i −0.899661 0.436590i \(-0.856186\pi\)
0.827928 + 0.560834i \(0.189520\pi\)
\(632\) 6.74543 3.89448i 0.268319 0.154914i
\(633\) −37.9412 19.7766i −1.50803 0.786050i
\(634\) −20.4047 −0.810373
\(635\) −20.5419 −0.815182
\(636\) 7.32289 14.0489i 0.290371 0.557073i
\(637\) 52.6155 + 30.3776i 2.08470 + 1.20360i
\(638\) 6.04796i 0.239441i
\(639\) −37.3860 + 3.23071i −1.47897 + 0.127805i
\(640\) −0.866025 0.500000i −0.0342327 0.0197642i
\(641\) 3.94155 + 6.82697i 0.155682 + 0.269649i 0.933307 0.359079i \(-0.116909\pi\)
−0.777625 + 0.628728i \(0.783576\pi\)
\(642\) 15.0599 28.8923i 0.594368 1.14029i
\(643\) −2.98629 5.17241i −0.117768 0.203980i 0.801115 0.598510i \(-0.204241\pi\)
−0.918883 + 0.394531i \(0.870907\pi\)
\(644\) 2.73366 1.57828i 0.107721 0.0621928i
\(645\) −0.427792 9.91933i −0.0168443 0.390573i
\(646\) 11.2126 0.307833i 0.441155 0.0121115i
\(647\) 27.9832i 1.10013i −0.835120 0.550067i \(-0.814602\pi\)
0.835120 0.550067i \(-0.185398\pi\)
\(648\) −5.77038 6.90671i −0.226682 0.271321i
\(649\) −31.8062 + 18.3633i −1.24850 + 0.720823i
\(650\) −3.56832 2.06017i −0.139961 0.0808066i
\(651\) −29.2800 + 18.6315i −1.14757 + 0.730226i
\(652\) −3.97183 + 6.87941i −0.155549 + 0.269419i
\(653\) 20.3397i 0.795953i −0.917396 0.397976i \(-0.869713\pi\)
0.917396 0.397976i \(-0.130287\pi\)
\(654\) −0.542899 12.5883i −0.0212290 0.492243i
\(655\) 1.89770 3.28692i 0.0741494 0.128431i
\(656\) −1.65691 + 2.86985i −0.0646914 + 0.112049i
\(657\) −13.0659 + 1.12909i −0.509750 + 0.0440500i
\(658\) 40.8625i 1.59299i
\(659\) −12.9141 + 22.3678i −0.503061 + 0.871327i 0.496933 + 0.867789i \(0.334460\pi\)
−0.999994 + 0.00353811i \(0.998874\pi\)
\(660\) 2.83395 + 4.45364i 0.110311 + 0.173358i
\(661\) 24.4404 + 14.1107i 0.950623 + 0.548842i 0.893274 0.449512i \(-0.148402\pi\)
0.0573484 + 0.998354i \(0.481735\pi\)
\(662\) 2.98913 1.72578i 0.116176 0.0670742i
\(663\) −9.85920 15.4941i −0.382900 0.601739i
\(664\) 2.61607i 0.101523i
\(665\) 9.67623 17.8754i 0.375228 0.693177i
\(666\) 1.16158 + 13.4419i 0.0450105 + 0.520864i
\(667\) −1.16330 + 0.671634i −0.0450433 + 0.0260058i
\(668\) −2.97913 5.16001i −0.115266 0.199647i
\(669\) 8.15121 + 4.24877i 0.315144 + 0.164267i
\(670\) 1.48017 + 2.56373i 0.0571840 + 0.0990456i
\(671\) −36.6927 21.1845i −1.41650 0.817819i
\(672\) −8.06935 + 0.348008i −0.311282 + 0.0134247i
\(673\) 3.94270i 0.151980i −0.997109 0.0759900i \(-0.975788\pi\)
0.997109 0.0759900i \(-0.0242117\pi\)
\(674\) 23.1281 + 13.3530i 0.890860 + 0.514338i
\(675\) 1.99615 4.79743i 0.0768319 0.184653i
\(676\) −3.97722 −0.152970
\(677\) −45.0353 −1.73085 −0.865424 0.501040i \(-0.832951\pi\)
−0.865424 + 0.501040i \(0.832951\pi\)
\(678\) 10.2410 19.6472i 0.393303 0.754545i
\(679\) 37.3215 21.5476i 1.43227 0.826920i
\(680\) 1.28666 2.22857i 0.0493413 0.0854616i
\(681\) 4.80743 + 7.55503i 0.184221 + 0.289509i
\(682\) 6.54788 + 11.3413i 0.250731 + 0.434279i
\(683\) 36.9898 1.41538 0.707688 0.706525i \(-0.249738\pi\)
0.707688 + 0.706525i \(0.249738\pi\)
\(684\) 11.9932 + 5.21190i 0.458570 + 0.199282i
\(685\) 6.51561 0.248949
\(686\) 18.0586 + 31.2784i 0.689479 + 1.19421i
\(687\) 11.6856 + 18.3642i 0.445832 + 0.700640i
\(688\) 2.86613 4.96428i 0.109270 0.189261i
\(689\) 32.6389 18.8441i 1.24344 0.717903i
\(690\) −0.541929 + 1.03968i −0.0206309 + 0.0395800i
\(691\) 40.1246 1.52641 0.763206 0.646155i \(-0.223624\pi\)
0.763206 + 0.646155i \(0.223624\pi\)
\(692\) 8.04881 0.305970
\(693\) 38.6225 + 18.0601i 1.46715 + 0.686046i
\(694\) −14.4663 8.35210i −0.549132 0.317041i
\(695\) 8.22199i 0.311878i
\(696\) 3.43390 0.148094i 0.130162 0.00561351i
\(697\) −7.38506 4.26376i −0.279729 0.161502i
\(698\) −16.1384 27.9525i −0.610847 1.05802i
\(699\) 36.9059 + 19.2370i 1.39591 + 0.727610i
\(700\) −2.33159 4.03843i −0.0881257 0.152638i
\(701\) 35.9481 20.7546i 1.35774 0.783892i 0.368422 0.929659i \(-0.379898\pi\)
0.989319 + 0.145766i \(0.0465648\pi\)
\(702\) −2.76062 21.2312i −0.104193 0.801320i
\(703\) −10.2639 16.7017i −0.387112 0.629916i
\(704\) 3.04774i 0.114866i
\(705\) 8.14812 + 12.8050i 0.306876 + 0.482266i
\(706\) 13.2366 7.64215i 0.498166 0.287616i
\(707\) 46.1931 + 26.6696i 1.73727 + 1.00301i
\(708\) 11.2051 + 17.6092i 0.421114 + 0.661795i
\(709\) −6.05340 + 10.4848i −0.227340 + 0.393765i −0.957019 0.290025i \(-0.906336\pi\)
0.729679 + 0.683790i \(0.239670\pi\)
\(710\) 12.5084i 0.469433i
\(711\) 2.01175 + 23.2801i 0.0754465 + 0.873072i
\(712\) −4.81262 + 8.33571i −0.180361 + 0.312394i
\(713\) −1.45430 + 2.51892i −0.0544640 + 0.0943345i
\(714\) −0.895538 20.7651i −0.0335147 0.777113i
\(715\) 12.5577i 0.469633i
\(716\) −4.76369 + 8.25095i −0.178027 + 0.308352i
\(717\) −18.8786 + 12.0129i −0.705035 + 0.448629i
\(718\) −0.917556 0.529751i −0.0342429 0.0197701i
\(719\) −43.2306 + 24.9592i −1.61223 + 0.930821i −0.623376 + 0.781922i \(0.714240\pi\)
−0.988852 + 0.148899i \(0.952427\pi\)
\(720\) 2.45929 1.71811i 0.0916523 0.0640302i
\(721\) 81.4864i 3.03471i
\(722\) −18.9714 + 1.04247i −0.706042 + 0.0387967i
\(723\) −1.58224 36.6878i −0.0588441 1.36443i
\(724\) 14.9311 8.62045i 0.554909 0.320377i
\(725\) 0.992204 + 1.71855i 0.0368495 + 0.0638253i
\(726\) −1.37003 + 2.62839i −0.0508468 + 0.0975488i
\(727\) 3.21384 + 5.56653i 0.119195 + 0.206451i 0.919449 0.393210i \(-0.128635\pi\)
−0.800254 + 0.599661i \(0.795302\pi\)
\(728\) −16.6397 9.60693i −0.616708 0.356057i
\(729\) 26.1022 6.90471i 0.966748 0.255730i
\(730\) 4.37153i 0.161798i
\(731\) 12.7747 + 7.37547i 0.472489 + 0.272792i
\(732\) −11.1296 + 21.3521i −0.411363 + 0.789195i
\(733\) −16.0152 −0.591537 −0.295768 0.955260i \(-0.595576\pi\)
−0.295768 + 0.955260i \(0.595576\pi\)
\(734\) −20.5013 −0.756718
\(735\) −22.6474 11.8049i −0.835364 0.435429i
\(736\) −0.586222 + 0.338456i −0.0216084 + 0.0124756i
\(737\) 4.51118 7.81359i 0.166171 0.287817i
\(738\) −5.69350 8.14963i −0.209581 0.299992i
\(739\) −9.73673 16.8645i −0.358172 0.620371i 0.629484 0.777014i \(-0.283266\pi\)
−0.987655 + 0.156642i \(0.949933\pi\)
\(740\) −4.49734 −0.165325
\(741\) 17.4143 + 25.7768i 0.639729 + 0.946936i
\(742\) 42.6534 1.56586
\(743\) 25.7244 + 44.5560i 0.943738 + 1.63460i 0.758258 + 0.651955i \(0.226051\pi\)
0.185480 + 0.982648i \(0.440616\pi\)
\(744\) 6.27899 3.99546i 0.230199 0.146481i
\(745\) 1.24894 2.16323i 0.0457577 0.0792546i
\(746\) 12.8277 7.40608i 0.469656 0.271156i
\(747\) 7.10937 + 3.32438i 0.260118 + 0.121633i
\(748\) −7.84283 −0.286762
\(749\) 87.7191 3.20518
\(750\) 1.53592 + 0.800591i 0.0560839 + 0.0292334i
\(751\) 29.8285 + 17.2215i 1.08846 + 0.628421i 0.933165 0.359448i \(-0.117035\pi\)
0.155292 + 0.987869i \(0.450368\pi\)
\(752\) 8.76281i 0.319547i
\(753\) −1.40446 32.5655i −0.0511812 1.18675i
\(754\) 7.08101 + 4.08822i 0.257875 + 0.148884i
\(755\) 4.68195 + 8.10937i 0.170394 + 0.295130i
\(756\) 9.30840 22.3713i 0.338543 0.813635i
\(757\) −5.05555 8.75646i −0.183747 0.318259i 0.759407 0.650616i \(-0.225489\pi\)
−0.943154 + 0.332357i \(0.892156\pi\)
\(758\) −3.66524 + 2.11613i −0.133128 + 0.0768613i
\(759\) 3.56999 0.153963i 0.129582 0.00558852i
\(760\) −2.07503 + 3.83331i −0.0752693 + 0.139049i
\(761\) 27.1963i 0.985865i −0.870067 0.492933i \(-0.835925\pi\)
0.870067 0.492933i \(-0.164075\pi\)
\(762\) 30.0178 19.1009i 1.08743 0.691954i
\(763\) 29.3781 16.9614i 1.06356 0.614045i
\(764\) 12.9535 + 7.47873i 0.468643 + 0.270571i
\(765\) 4.42125 + 6.32855i 0.159851 + 0.228809i
\(766\) −11.7377 + 20.3303i −0.424100 + 0.734563i
\(767\) 49.6519i 1.79283i
\(768\) 1.73044 0.0746290i 0.0624420 0.00269294i
\(769\) −8.24048 + 14.2729i −0.297159 + 0.514695i −0.975485 0.220067i \(-0.929373\pi\)
0.678326 + 0.734761i \(0.262706\pi\)
\(770\) −7.10607 + 12.3081i −0.256085 + 0.443552i
\(771\) −13.8591 + 0.597702i −0.499122 + 0.0215257i
\(772\) 20.8953i 0.752037i
\(773\) 1.86208 3.22522i 0.0669743 0.116003i −0.830594 0.556879i \(-0.811999\pi\)
0.897568 + 0.440876i \(0.145332\pi\)
\(774\) 9.84864 + 14.0973i 0.354002 + 0.506715i
\(775\) 3.72120 + 2.14844i 0.133670 + 0.0771742i