Properties

Label 570.2.u.a.61.1
Level $570$
Weight $2$
Character 570.61
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 61.1
Root \(-0.173648 - 0.984808i\) of defining polynomial
Character \(\chi\) \(=\) 570.61
Dual form 570.2.u.a.271.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.939693 + 0.342020i) q^{2} +(-0.173648 - 0.984808i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-0.766044 + 0.642788i) q^{5} +(0.173648 - 0.984808i) q^{6} +(1.64543 - 2.84997i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-0.939693 + 0.342020i) q^{9} +O(q^{10})\) \(q+(0.939693 + 0.342020i) q^{2} +(-0.173648 - 0.984808i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-0.766044 + 0.642788i) q^{5} +(0.173648 - 0.984808i) q^{6} +(1.64543 - 2.84997i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-0.939693 + 0.342020i) q^{9} +(-0.939693 + 0.342020i) q^{10} +(-0.939693 - 1.62760i) q^{11} +(0.500000 - 0.866025i) q^{12} +(1.23783 - 7.02006i) q^{13} +(2.52094 - 2.11532i) q^{14} +(0.766044 + 0.642788i) q^{15} +(0.173648 + 0.984808i) q^{16} +(4.41147 + 1.60565i) q^{17} -1.00000 q^{18} +(-3.93969 + 1.86516i) q^{19} -1.00000 q^{20} +(-3.09240 - 1.12554i) q^{21} +(-0.326352 - 1.85083i) q^{22} +(5.20961 + 4.37138i) q^{23} +(0.766044 - 0.642788i) q^{24} +(0.173648 - 0.984808i) q^{25} +(3.56418 - 6.17334i) q^{26} +(0.500000 + 0.866025i) q^{27} +(3.09240 - 1.12554i) q^{28} +(2.53209 - 0.921605i) q^{29} +(0.500000 + 0.866025i) q^{30} +(2.22668 - 3.85673i) q^{31} +(-0.173648 + 0.984808i) q^{32} +(-1.43969 + 1.20805i) q^{33} +(3.59627 + 3.01763i) q^{34} +(0.571452 + 3.24086i) q^{35} +(-0.939693 - 0.342020i) q^{36} +1.73648 q^{37} +(-4.34002 + 0.405223i) q^{38} -7.12836 q^{39} +(-0.939693 - 0.342020i) q^{40} +(-1.12701 - 6.39160i) q^{41} +(-2.52094 - 2.11532i) q^{42} +(-6.57398 + 5.51622i) q^{43} +(0.326352 - 1.85083i) q^{44} +(0.500000 - 0.866025i) q^{45} +(3.40033 + 5.88954i) q^{46} +(-3.16637 + 1.15247i) q^{47} +(0.939693 - 0.342020i) q^{48} +(-1.91488 - 3.31667i) q^{49} +(0.500000 - 0.866025i) q^{50} +(0.815207 - 4.62327i) q^{51} +(5.46064 - 4.58202i) q^{52} +(-3.33615 - 2.79936i) q^{53} +(0.173648 + 0.984808i) q^{54} +(1.76604 + 0.642788i) q^{55} +3.29086 q^{56} +(2.52094 + 3.55596i) q^{57} +2.69459 q^{58} +(6.92514 + 2.52055i) q^{59} +(0.173648 + 0.984808i) q^{60} +(-1.63041 - 1.36808i) q^{61} +(3.41147 - 2.86257i) q^{62} +(-0.571452 + 3.24086i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(3.56418 + 6.17334i) q^{65} +(-1.76604 + 0.642788i) q^{66} +(-8.94356 + 3.25519i) q^{67} +(2.34730 + 4.06564i) q^{68} +(3.40033 - 5.88954i) q^{69} +(-0.571452 + 3.24086i) q^{70} +(-3.78106 + 3.17269i) q^{71} +(-0.766044 - 0.642788i) q^{72} +(0.837496 + 4.74968i) q^{73} +(1.63176 + 0.593912i) q^{74} -1.00000 q^{75} +(-4.21688 - 1.10359i) q^{76} -6.18479 q^{77} +(-6.69846 - 2.43804i) q^{78} +(2.24123 + 12.7106i) q^{79} +(-0.766044 - 0.642788i) q^{80} +(0.766044 - 0.642788i) q^{81} +(1.12701 - 6.39160i) q^{82} +(-4.10607 + 7.11192i) q^{83} +(-1.64543 - 2.84997i) q^{84} +(-4.41147 + 1.60565i) q^{85} +(-8.06418 + 2.93512i) q^{86} +(-1.34730 - 2.33359i) q^{87} +(0.939693 - 1.62760i) q^{88} +(-2.44949 + 13.8918i) q^{89} +(0.766044 - 0.642788i) q^{90} +(-17.9702 - 15.0788i) q^{91} +(1.18092 + 6.69734i) q^{92} +(-4.18479 - 1.52314i) q^{93} -3.36959 q^{94} +(1.81908 - 3.96118i) q^{95} +1.00000 q^{96} +(1.22668 + 0.446476i) q^{97} +(-0.665030 - 3.77157i) q^{98} +(1.43969 + 1.20805i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q - 6q^{7} + 3q^{8} + O(q^{10}) \) \( 6q - 6q^{7} + 3q^{8} + 3q^{12} - 12q^{13} + 12q^{14} + 6q^{17} - 6q^{18} - 18q^{19} - 6q^{20} - 15q^{21} - 3q^{22} - 3q^{23} + 3q^{26} + 3q^{27} + 15q^{28} + 6q^{29} + 3q^{30} - 3q^{33} - 6q^{34} + 3q^{35} - 6q^{38} - 6q^{39} + 21q^{41} - 12q^{42} - 24q^{43} + 3q^{44} + 3q^{45} + 6q^{46} - 33q^{49} + 3q^{50} + 12q^{51} + 24q^{52} - 24q^{53} + 6q^{55} - 12q^{56} + 12q^{57} + 12q^{58} - 24q^{61} - 3q^{63} - 3q^{64} + 3q^{65} - 6q^{66} - 24q^{67} + 12q^{68} + 6q^{69} - 3q^{70} + 12q^{71} + 15q^{74} - 6q^{75} - 9q^{76} - 30q^{77} - 12q^{78} + 36q^{79} - 21q^{82} + 6q^{84} - 6q^{85} - 30q^{86} - 6q^{87} - 12q^{89} + 24q^{91} + 24q^{92} - 18q^{93} - 6q^{94} - 6q^{95} + 6q^{96} - 6q^{97} + 6q^{98} + 3q^{99} + O(q^{100}) \)

Character values

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.939693 + 0.342020i 0.664463 + 0.241845i
\(3\) −0.173648 0.984808i −0.100256 0.568579i
\(4\) 0.766044 + 0.642788i 0.383022 + 0.321394i
\(5\) −0.766044 + 0.642788i −0.342585 + 0.287463i
\(6\) 0.173648 0.984808i 0.0708916 0.402046i
\(7\) 1.64543 2.84997i 0.621914 1.07719i −0.367215 0.930136i \(-0.619689\pi\)
0.989129 0.147051i \(-0.0469780\pi\)
\(8\) 0.500000 + 0.866025i 0.176777 + 0.306186i
\(9\) −0.939693 + 0.342020i −0.313231 + 0.114007i
\(10\) −0.939693 + 0.342020i −0.297157 + 0.108156i
\(11\) −0.939693 1.62760i −0.283328 0.490738i 0.688874 0.724881i \(-0.258105\pi\)
−0.972202 + 0.234142i \(0.924772\pi\)
\(12\) 0.500000 0.866025i 0.144338 0.250000i
\(13\) 1.23783 7.02006i 0.343311 1.94701i 0.0228935 0.999738i \(-0.492712\pi\)
0.320418 0.947276i \(-0.396177\pi\)
\(14\) 2.52094 2.11532i 0.673751 0.565344i
\(15\) 0.766044 + 0.642788i 0.197792 + 0.165967i
\(16\) 0.173648 + 0.984808i 0.0434120 + 0.246202i
\(17\) 4.41147 + 1.60565i 1.06994 + 0.389426i 0.816154 0.577834i \(-0.196102\pi\)
0.253786 + 0.967261i \(0.418324\pi\)
\(18\) −1.00000 −0.235702
\(19\) −3.93969 + 1.86516i −0.903827 + 0.427897i
\(20\) −1.00000 −0.223607
\(21\) −3.09240 1.12554i −0.674816 0.245613i
\(22\) −0.326352 1.85083i −0.0695784 0.394599i
\(23\) 5.20961 + 4.37138i 1.08628 + 0.911496i 0.996427 0.0844595i \(-0.0269164\pi\)
0.0898513 + 0.995955i \(0.471361\pi\)
\(24\) 0.766044 0.642788i 0.156368 0.131208i
\(25\) 0.173648 0.984808i 0.0347296 0.196962i
\(26\) 3.56418 6.17334i 0.698993 1.21069i
\(27\) 0.500000 + 0.866025i 0.0962250 + 0.166667i
\(28\) 3.09240 1.12554i 0.584408 0.212707i
\(29\) 2.53209 0.921605i 0.470197 0.171138i −0.0960445 0.995377i \(-0.530619\pi\)
0.566242 + 0.824239i \(0.308397\pi\)
\(30\) 0.500000 + 0.866025i 0.0912871 + 0.158114i
\(31\) 2.22668 3.85673i 0.399924 0.692688i −0.593792 0.804618i \(-0.702370\pi\)
0.993716 + 0.111930i \(0.0357032\pi\)
\(32\) −0.173648 + 0.984808i −0.0306970 + 0.174091i
\(33\) −1.43969 + 1.20805i −0.250618 + 0.210294i
\(34\) 3.59627 + 3.01763i 0.616755 + 0.517519i
\(35\) 0.571452 + 3.24086i 0.0965930 + 0.547806i
\(36\) −0.939693 0.342020i −0.156615 0.0570034i
\(37\) 1.73648 0.285476 0.142738 0.989761i \(-0.454409\pi\)
0.142738 + 0.989761i \(0.454409\pi\)
\(38\) −4.34002 + 0.405223i −0.704045 + 0.0657358i
\(39\) −7.12836 −1.14145
\(40\) −0.939693 0.342020i −0.148578 0.0540781i
\(41\) −1.12701 6.39160i −0.176010 0.998200i −0.936972 0.349404i \(-0.886384\pi\)
0.760962 0.648796i \(-0.224727\pi\)
\(42\) −2.52094 2.11532i −0.388990 0.326402i
\(43\) −6.57398 + 5.51622i −1.00252 + 0.841216i −0.987332 0.158669i \(-0.949280\pi\)
−0.0151903 + 0.999885i \(0.504835\pi\)
\(44\) 0.326352 1.85083i 0.0491994 0.279024i
\(45\) 0.500000 0.866025i 0.0745356 0.129099i
\(46\) 3.40033 + 5.88954i 0.501351 + 0.868366i
\(47\) −3.16637 + 1.15247i −0.461863 + 0.168104i −0.562463 0.826823i \(-0.690146\pi\)
0.100600 + 0.994927i \(0.467924\pi\)
\(48\) 0.939693 0.342020i 0.135633 0.0493664i
\(49\) −1.91488 3.31667i −0.273554 0.473809i
\(50\) 0.500000 0.866025i 0.0707107 0.122474i
\(51\) 0.815207 4.62327i 0.114152 0.647387i
\(52\) 5.46064 4.58202i 0.757254 0.635412i
\(53\) −3.33615 2.79936i −0.458256 0.384522i 0.384233 0.923236i \(-0.374466\pi\)
−0.842489 + 0.538714i \(0.818910\pi\)
\(54\) 0.173648 + 0.984808i 0.0236305 + 0.134015i
\(55\) 1.76604 + 0.642788i 0.238133 + 0.0866735i
\(56\) 3.29086 0.439760
\(57\) 2.52094 + 3.55596i 0.333907 + 0.470998i
\(58\) 2.69459 0.353817
\(59\) 6.92514 + 2.52055i 0.901577 + 0.328147i 0.750885 0.660433i \(-0.229627\pi\)
0.150692 + 0.988581i \(0.451850\pi\)
\(60\) 0.173648 + 0.984808i 0.0224179 + 0.127138i
\(61\) −1.63041 1.36808i −0.208753 0.175165i 0.532416 0.846483i \(-0.321284\pi\)
−0.741170 + 0.671318i \(0.765729\pi\)
\(62\) 3.41147 2.86257i 0.433258 0.363546i
\(63\) −0.571452 + 3.24086i −0.0719962 + 0.408310i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 3.56418 + 6.17334i 0.442082 + 0.765708i
\(66\) −1.76604 + 0.642788i −0.217385 + 0.0791217i
\(67\) −8.94356 + 3.25519i −1.09263 + 0.397685i −0.824595 0.565724i \(-0.808597\pi\)
−0.268036 + 0.963409i \(0.586374\pi\)
\(68\) 2.34730 + 4.06564i 0.284651 + 0.493031i
\(69\) 3.40033 5.88954i 0.409352 0.709018i
\(70\) −0.571452 + 3.24086i −0.0683015 + 0.387357i
\(71\) −3.78106 + 3.17269i −0.448729 + 0.376528i −0.838964 0.544187i \(-0.816838\pi\)
0.390235 + 0.920715i \(0.372394\pi\)
\(72\) −0.766044 0.642788i −0.0902792 0.0757532i
\(73\) 0.837496 + 4.74968i 0.0980215 + 0.555908i 0.993780 + 0.111366i \(0.0355225\pi\)
−0.895758 + 0.444542i \(0.853366\pi\)
\(74\) 1.63176 + 0.593912i 0.189688 + 0.0690408i
\(75\) −1.00000 −0.115470
\(76\) −4.21688 1.10359i −0.483709 0.126590i
\(77\) −6.18479 −0.704823
\(78\) −6.69846 2.43804i −0.758452 0.276054i
\(79\) 2.24123 + 12.7106i 0.252158 + 1.43006i 0.803264 + 0.595624i \(0.203095\pi\)
−0.551106 + 0.834436i \(0.685794\pi\)
\(80\) −0.766044 0.642788i −0.0856464 0.0718658i
\(81\) 0.766044 0.642788i 0.0851160 0.0714208i
\(82\) 1.12701 6.39160i 0.124458 0.705834i
\(83\) −4.10607 + 7.11192i −0.450699 + 0.780634i −0.998430 0.0560208i \(-0.982159\pi\)
0.547730 + 0.836655i \(0.315492\pi\)
\(84\) −1.64543 2.84997i −0.179531 0.310957i
\(85\) −4.41147 + 1.60565i −0.478492 + 0.174157i
\(86\) −8.06418 + 2.93512i −0.869583 + 0.316502i
\(87\) −1.34730 2.33359i −0.144445 0.250187i
\(88\) 0.939693 1.62760i 0.100172 0.173502i
\(89\) −2.44949 + 13.8918i −0.259646 + 1.47252i 0.524214 + 0.851586i \(0.324359\pi\)
−0.783860 + 0.620938i \(0.786752\pi\)
\(90\) 0.766044 0.642788i 0.0807482 0.0677558i
\(91\) −17.9702 15.0788i −1.88379 1.58069i
\(92\) 1.18092 + 6.69734i 0.123120 + 0.698246i
\(93\) −4.18479 1.52314i −0.433943 0.157942i
\(94\) −3.36959 −0.347546
\(95\) 1.81908 3.96118i 0.186633 0.406409i
\(96\) 1.00000 0.102062
\(97\) 1.22668 + 0.446476i 0.124551 + 0.0453327i 0.403544 0.914960i \(-0.367778\pi\)
−0.278993 + 0.960293i \(0.590001\pi\)
\(98\) −0.665030 3.77157i −0.0671782 0.380986i
\(99\) 1.43969 + 1.20805i 0.144695 + 0.121413i
\(100\) 0.766044 0.642788i 0.0766044 0.0642788i
\(101\) 0.204393 1.15917i 0.0203379 0.115342i −0.972949 0.231021i \(-0.925793\pi\)
0.993287 + 0.115679i \(0.0369045\pi\)
\(102\) 2.34730 4.06564i 0.232417 0.402558i
\(103\) 6.95084 + 12.0392i 0.684886 + 1.18626i 0.973473 + 0.228804i \(0.0734815\pi\)
−0.288586 + 0.957454i \(0.593185\pi\)
\(104\) 6.69846 2.43804i 0.656838 0.239070i
\(105\) 3.09240 1.12554i 0.301787 0.109841i
\(106\) −2.17752 3.77157i −0.211499 0.366328i
\(107\) −3.38919 + 5.87024i −0.327645 + 0.567498i −0.982044 0.188652i \(-0.939588\pi\)
0.654399 + 0.756149i \(0.272922\pi\)
\(108\) −0.173648 + 0.984808i −0.0167093 + 0.0947632i
\(109\) 0.347296 0.291416i 0.0332650 0.0279126i −0.626004 0.779820i \(-0.715310\pi\)
0.659269 + 0.751908i \(0.270866\pi\)
\(110\) 1.43969 + 1.20805i 0.137269 + 0.115183i
\(111\) −0.301537 1.71010i −0.0286206 0.162316i
\(112\) 3.09240 + 1.12554i 0.292204 + 0.106354i
\(113\) 7.30541 0.687235 0.343617 0.939110i \(-0.388348\pi\)
0.343617 + 0.939110i \(0.388348\pi\)
\(114\) 1.15270 + 4.20372i 0.107961 + 0.393715i
\(115\) −6.80066 −0.634165
\(116\) 2.53209 + 0.921605i 0.235099 + 0.0855689i
\(117\) 1.23783 + 7.02006i 0.114437 + 0.649005i
\(118\) 5.64543 + 4.73708i 0.519704 + 0.436083i
\(119\) 11.8348 9.93058i 1.08490 0.910335i
\(120\) −0.173648 + 0.984808i −0.0158518 + 0.0899002i
\(121\) 3.73396 6.46740i 0.339451 0.587946i
\(122\) −1.06418 1.84321i −0.0963461 0.166876i
\(123\) −6.09879 + 2.21978i −0.549910 + 0.200151i
\(124\) 4.18479 1.52314i 0.375805 0.136782i
\(125\) 0.500000 + 0.866025i 0.0447214 + 0.0774597i
\(126\) −1.64543 + 2.84997i −0.146587 + 0.253895i
\(127\) 2.09714 11.8935i 0.186091 1.05538i −0.738454 0.674304i \(-0.764444\pi\)
0.924545 0.381073i \(-0.124445\pi\)
\(128\) −0.766044 + 0.642788i −0.0677094 + 0.0568149i
\(129\) 6.57398 + 5.51622i 0.578806 + 0.485676i
\(130\) 1.23783 + 7.02006i 0.108565 + 0.615700i
\(131\) 2.63176 + 0.957882i 0.229938 + 0.0836905i 0.454420 0.890788i \(-0.349847\pi\)
−0.224482 + 0.974478i \(0.572069\pi\)
\(132\) −1.87939 −0.163579
\(133\) −1.16684 + 14.2970i −0.101178 + 1.23971i
\(134\) −9.51754 −0.822190
\(135\) −0.939693 0.342020i −0.0808759 0.0294364i
\(136\) 0.815207 + 4.62327i 0.0699035 + 0.396442i
\(137\) 11.1702 + 9.37295i 0.954338 + 0.800785i 0.980023 0.198885i \(-0.0637321\pi\)
−0.0256844 + 0.999670i \(0.508177\pi\)
\(138\) 5.20961 4.37138i 0.443471 0.372117i
\(139\) 1.94016 11.0032i 0.164562 0.933278i −0.784953 0.619556i \(-0.787313\pi\)
0.949515 0.313723i \(-0.101576\pi\)
\(140\) −1.64543 + 2.84997i −0.139064 + 0.240866i
\(141\) 1.68479 + 2.91815i 0.141885 + 0.245752i
\(142\) −4.63816 + 1.68815i −0.389225 + 0.141666i
\(143\) −12.5890 + 4.58202i −1.05274 + 0.383168i
\(144\) −0.500000 0.866025i −0.0416667 0.0721688i
\(145\) −1.34730 + 2.33359i −0.111887 + 0.193794i
\(146\) −0.837496 + 4.74968i −0.0693117 + 0.393086i
\(147\) −2.93376 + 2.46172i −0.241973 + 0.203039i
\(148\) 1.33022 + 1.11619i 0.109344 + 0.0917502i
\(149\) 3.32770 + 18.8723i 0.272615 + 1.54608i 0.746436 + 0.665458i \(0.231764\pi\)
−0.473820 + 0.880622i \(0.657125\pi\)
\(150\) −0.939693 0.342020i −0.0767256 0.0279258i
\(151\) −4.69459 −0.382041 −0.191020 0.981586i \(-0.561180\pi\)
−0.191020 + 0.981586i \(0.561180\pi\)
\(152\) −3.58512 2.47929i −0.290792 0.201097i
\(153\) −4.69459 −0.379535
\(154\) −5.81180 2.11532i −0.468329 0.170458i
\(155\) 0.773318 + 4.38571i 0.0621144 + 0.352268i
\(156\) −5.46064 4.58202i −0.437201 0.366855i
\(157\) 8.55690 7.18009i 0.682915 0.573034i −0.233941 0.972251i \(-0.575162\pi\)
0.916857 + 0.399217i \(0.130718\pi\)
\(158\) −2.24123 + 12.7106i −0.178303 + 1.01120i
\(159\) −2.17752 + 3.77157i −0.172688 + 0.299105i
\(160\) −0.500000 0.866025i −0.0395285 0.0684653i
\(161\) 21.0303 7.65442i 1.65742 0.603252i
\(162\) 0.939693 0.342020i 0.0738292 0.0268716i
\(163\) −8.45336 14.6417i −0.662119 1.14682i −0.980058 0.198712i \(-0.936324\pi\)
0.317939 0.948111i \(-0.397009\pi\)
\(164\) 3.24510 5.62068i 0.253400 0.438901i
\(165\) 0.326352 1.85083i 0.0254065 0.144087i
\(166\) −6.29086 + 5.27866i −0.488265 + 0.409703i
\(167\) −18.9008 15.8597i −1.46259 1.22726i −0.922700 0.385520i \(-0.874022\pi\)
−0.539888 0.841737i \(-0.681533\pi\)
\(168\) −0.571452 3.24086i −0.0440885 0.250038i
\(169\) −35.5330 12.9330i −2.73331 0.994843i
\(170\) −4.69459 −0.360059
\(171\) 3.06418 3.10013i 0.234324 0.237073i
\(172\) −8.58172 −0.654350
\(173\) 14.9217 + 5.43107i 1.13448 + 0.412917i 0.839916 0.542716i \(-0.182604\pi\)
0.294562 + 0.955632i \(0.404826\pi\)
\(174\) −0.467911 2.65366i −0.0354722 0.201173i
\(175\) −2.52094 2.11532i −0.190565 0.159903i
\(176\) 1.43969 1.20805i 0.108521 0.0910599i
\(177\) 1.27972 7.25762i 0.0961893 0.545516i
\(178\) −7.05303 + 12.2162i −0.528647 + 0.915644i
\(179\) −8.13950 14.0980i −0.608375 1.05374i −0.991508 0.130043i \(-0.958488\pi\)
0.383134 0.923693i \(-0.374845\pi\)
\(180\) 0.939693 0.342020i 0.0700406 0.0254927i
\(181\) 21.7665 7.92236i 1.61789 0.588865i 0.634913 0.772583i \(-0.281036\pi\)
0.982979 + 0.183719i \(0.0588136\pi\)
\(182\) −11.7292 20.3156i −0.869427 1.50589i
\(183\) −1.06418 + 1.84321i −0.0786663 + 0.136254i
\(184\) −1.18092 + 6.69734i −0.0870587 + 0.493735i
\(185\) −1.33022 + 1.11619i −0.0977999 + 0.0820638i
\(186\) −3.41147 2.86257i −0.250141 0.209894i
\(187\) −1.53209 8.68891i −0.112037 0.635396i
\(188\) −3.16637 1.15247i −0.230932 0.0840522i
\(189\) 3.29086 0.239375
\(190\) 3.06418 3.10013i 0.222299 0.224907i
\(191\) 0.980400 0.0709392 0.0354696 0.999371i \(-0.488707\pi\)
0.0354696 + 0.999371i \(0.488707\pi\)
\(192\) 0.939693 + 0.342020i 0.0678165 + 0.0246832i
\(193\) 1.67499 + 9.49935i 0.120569 + 0.683778i 0.983842 + 0.179041i \(0.0572995\pi\)
−0.863273 + 0.504737i \(0.831589\pi\)
\(194\) 1.00000 + 0.839100i 0.0717958 + 0.0602438i
\(195\) 5.46064 4.58202i 0.391044 0.328125i
\(196\) 0.665030 3.77157i 0.0475021 0.269398i
\(197\) −11.3735 + 19.6994i −0.810325 + 1.40352i 0.102311 + 0.994752i \(0.467376\pi\)
−0.912637 + 0.408772i \(0.865957\pi\)
\(198\) 0.939693 + 1.62760i 0.0667810 + 0.115668i
\(199\) −17.7023 + 6.44312i −1.25489 + 0.456741i −0.882050 0.471157i \(-0.843837\pi\)
−0.372836 + 0.927897i \(0.621614\pi\)
\(200\) 0.939693 0.342020i 0.0664463 0.0241845i
\(201\) 4.75877 + 8.24243i 0.335658 + 0.581376i
\(202\) 0.588526 1.01936i 0.0414085 0.0717217i
\(203\) 1.53983 8.73281i 0.108075 0.612923i
\(204\) 3.59627 3.01763i 0.251789 0.211276i
\(205\) 4.97178 + 4.17182i 0.347244 + 0.291373i
\(206\) 2.41400 + 13.6905i 0.168191 + 0.953861i
\(207\) −6.39053 2.32596i −0.444173 0.161666i
\(208\) 7.12836 0.494263
\(209\) 6.73783 + 4.65955i 0.466065 + 0.322308i
\(210\) 3.29086 0.227091
\(211\) 15.5471 + 5.65868i 1.07031 + 0.389560i 0.816291 0.577640i \(-0.196026\pi\)
0.254015 + 0.967200i \(0.418249\pi\)
\(212\) −0.756244 4.28887i −0.0519391 0.294561i
\(213\) 3.78106 + 3.17269i 0.259074 + 0.217389i
\(214\) −5.19253 + 4.35705i −0.354954 + 0.297842i
\(215\) 1.49020 8.45134i 0.101631 0.576377i
\(216\) −0.500000 + 0.866025i −0.0340207 + 0.0589256i
\(217\) −7.32770 12.6919i −0.497436 0.861585i
\(218\) 0.426022 0.155059i 0.0288539 0.0105019i
\(219\) 4.53209 1.64955i 0.306250 0.111466i
\(220\) 0.939693 + 1.62760i 0.0633541 + 0.109732i
\(221\) 16.7324 28.9813i 1.12554 1.94949i
\(222\) 0.301537 1.71010i 0.0202378 0.114774i
\(223\) 1.59446 1.33791i 0.106773 0.0895929i −0.587838 0.808978i \(-0.700021\pi\)
0.694611 + 0.719385i \(0.255576\pi\)
\(224\) 2.52094 + 2.11532i 0.168438 + 0.141336i
\(225\) 0.173648 + 0.984808i 0.0115765 + 0.0656539i
\(226\) 6.86484 + 2.49860i 0.456642 + 0.166204i
\(227\) 11.0196 0.731397 0.365698 0.930733i \(-0.380830\pi\)
0.365698 + 0.930733i \(0.380830\pi\)
\(228\) −0.354570 + 4.34445i −0.0234820 + 0.287718i
\(229\) −25.5621 −1.68919 −0.844596 0.535404i \(-0.820159\pi\)
−0.844596 + 0.535404i \(0.820159\pi\)
\(230\) −6.39053 2.32596i −0.421379 0.153369i
\(231\) 1.07398 + 6.09083i 0.0706626 + 0.400747i
\(232\) 2.06418 + 1.73205i 0.135520 + 0.113715i
\(233\) −1.43376 + 1.20307i −0.0939289 + 0.0788157i −0.688543 0.725196i \(-0.741749\pi\)
0.594614 + 0.804011i \(0.297305\pi\)
\(234\) −1.23783 + 7.02006i −0.0809192 + 0.458916i
\(235\) 1.68479 2.91815i 0.109904 0.190359i
\(236\) 3.68479 + 6.38225i 0.239860 + 0.415449i
\(237\) 12.1284 4.41436i 0.787821 0.286744i
\(238\) 14.5175 5.28395i 0.941032 0.342508i
\(239\) 9.24897 + 16.0197i 0.598266 + 1.03623i 0.993077 + 0.117465i \(0.0374768\pi\)
−0.394811 + 0.918762i \(0.629190\pi\)
\(240\) −0.500000 + 0.866025i −0.0322749 + 0.0559017i
\(241\) 2.76217 15.6651i 0.177927 1.00908i −0.756783 0.653666i \(-0.773230\pi\)
0.934711 0.355410i \(-0.115659\pi\)
\(242\) 5.72075 4.80028i 0.367744 0.308574i
\(243\) −0.766044 0.642788i −0.0491418 0.0412348i
\(244\) −0.369585 2.09602i −0.0236603 0.134184i
\(245\) 3.59879 + 1.30985i 0.229918 + 0.0836835i
\(246\) −6.49020 −0.413800
\(247\) 8.21688 + 29.9656i 0.522828 + 1.90667i
\(248\) 4.45336 0.282789
\(249\) 7.71688 + 2.80872i 0.489037 + 0.177995i
\(250\) 0.173648 + 0.984808i 0.0109825 + 0.0622847i
\(251\) −13.7738 11.5576i −0.869394 0.729508i 0.0945767 0.995518i \(-0.469850\pi\)
−0.963970 + 0.266010i \(0.914295\pi\)
\(252\) −2.52094 + 2.11532i −0.158805 + 0.133253i
\(253\) 2.21941 12.5869i 0.139533 0.791331i
\(254\) 6.03849 10.4590i 0.378888 0.656254i
\(255\) 2.34730 + 4.06564i 0.146993 + 0.254600i
\(256\) −0.939693 + 0.342020i −0.0587308 + 0.0213763i
\(257\) 4.49020 1.63430i 0.280091 0.101945i −0.198155 0.980171i \(-0.563495\pi\)
0.478246 + 0.878226i \(0.341273\pi\)
\(258\) 4.29086 + 7.43199i 0.267137 + 0.462695i
\(259\) 2.85726 4.94892i 0.177541 0.307511i
\(260\) −1.23783 + 7.02006i −0.0767667 + 0.435366i
\(261\) −2.06418 + 1.73205i −0.127769 + 0.107211i
\(262\) 2.14543 + 1.80023i 0.132545 + 0.111219i
\(263\) −1.30406 7.39571i −0.0804120 0.456039i −0.998253 0.0590900i \(-0.981180\pi\)
0.917841 0.396949i \(-0.129931\pi\)
\(264\) −1.76604 0.642788i −0.108693 0.0395608i
\(265\) 4.35504 0.267528
\(266\) −5.98633 + 13.0357i −0.367045 + 0.799269i
\(267\) 14.1061 0.863277
\(268\) −8.94356 3.25519i −0.546315 0.198842i
\(269\) −5.25402 29.7970i −0.320343 1.81676i −0.540558 0.841306i \(-0.681787\pi\)
0.220215 0.975451i \(-0.429324\pi\)
\(270\) −0.766044 0.642788i −0.0466200 0.0391188i
\(271\) 16.0378 13.4573i 0.974225 0.817472i −0.00898298 0.999960i \(-0.502859\pi\)
0.983208 + 0.182488i \(0.0584150\pi\)
\(272\) −0.815207 + 4.62327i −0.0494292 + 0.280327i
\(273\) −11.7292 + 20.3156i −0.709884 + 1.22956i
\(274\) 7.29086 + 12.6281i 0.440457 + 0.762894i
\(275\) −1.76604 + 0.642788i −0.106496 + 0.0387616i
\(276\) 6.39053 2.32596i 0.384665 0.140006i
\(277\) 0.953363 + 1.65127i 0.0572820 + 0.0992154i 0.893244 0.449571i \(-0.148423\pi\)
−0.835962 + 0.548787i \(0.815090\pi\)
\(278\) 5.58647 9.67604i 0.335054 0.580331i
\(279\) −0.773318 + 4.38571i −0.0462974 + 0.262565i
\(280\) −2.52094 + 2.11532i −0.150655 + 0.126415i
\(281\) −18.0685 15.1613i −1.07788 0.904446i −0.0821344 0.996621i \(-0.526174\pi\)
−0.995743 + 0.0921749i \(0.970618\pi\)
\(282\) 0.585122 + 3.31839i 0.0348435 + 0.197607i
\(283\) 14.5030 + 5.27866i 0.862113 + 0.313784i 0.734969 0.678101i \(-0.237197\pi\)
0.127144 + 0.991884i \(0.459419\pi\)
\(284\) −4.93582 −0.292887
\(285\) −4.21688 1.10359i −0.249786 0.0653710i
\(286\) −13.3969 −0.792177
\(287\) −20.0703 7.30498i −1.18471 0.431199i
\(288\) −0.173648 0.984808i −0.0102323 0.0580304i
\(289\) 3.86025 + 3.23914i 0.227074 + 0.190537i
\(290\) −2.06418 + 1.73205i −0.121213 + 0.101710i
\(291\) 0.226682 1.28558i 0.0132883 0.0753618i
\(292\) −2.41147 + 4.17680i −0.141121 + 0.244428i
\(293\) 12.9859 + 22.4923i 0.758645 + 1.31401i 0.943541 + 0.331254i \(0.107472\pi\)
−0.184896 + 0.982758i \(0.559195\pi\)
\(294\) −3.59879 + 1.30985i −0.209886 + 0.0763922i
\(295\) −6.92514 + 2.52055i −0.403198 + 0.146752i
\(296\) 0.868241 + 1.50384i 0.0504655 + 0.0874088i
\(297\) 0.939693 1.62760i 0.0545265 0.0944427i
\(298\) −3.32770 + 18.8723i −0.192768 + 1.09324i
\(299\) 37.1359 31.1607i 2.14763 1.80207i
\(300\) −0.766044 0.642788i −0.0442276 0.0371114i
\(301\) 4.90404 + 27.8122i 0.282664 + 1.60307i
\(302\) −4.41147 1.60565i −0.253852 0.0923945i
\(303\) −1.17705 −0.0676199
\(304\) −2.52094 3.55596i −0.144586 0.203948i
\(305\) 2.12836 0.121869
\(306\) −4.41147 1.60565i −0.252187 0.0917886i
\(307\) 3.90941 + 22.1714i 0.223122 + 1.26539i 0.866243 + 0.499623i \(0.166528\pi\)
−0.643121 + 0.765765i \(0.722361\pi\)
\(308\) −4.73783 3.97551i −0.269963 0.226526i
\(309\) 10.6493 8.93582i 0.605818 0.508341i
\(310\) −0.773318 + 4.38571i −0.0439215 + 0.249091i
\(311\) −6.80840 + 11.7925i −0.386069 + 0.668691i −0.991917 0.126889i \(-0.959501\pi\)
0.605848 + 0.795580i \(0.292834\pi\)
\(312\) −3.56418 6.17334i −0.201782 0.349496i
\(313\) 16.7716 6.10435i 0.947985 0.345038i 0.178671 0.983909i \(-0.442820\pi\)
0.769314 + 0.638871i \(0.220598\pi\)
\(314\) 10.4966 3.82045i 0.592357 0.215600i
\(315\) −1.64543 2.84997i −0.0927095 0.160577i
\(316\) −6.45336 + 11.1776i −0.363030 + 0.628786i
\(317\) −3.76692 + 21.3633i −0.211571 + 1.19988i 0.675187 + 0.737647i \(0.264063\pi\)
−0.886758 + 0.462234i \(0.847048\pi\)
\(318\) −3.33615 + 2.79936i −0.187082 + 0.156981i
\(319\) −3.87939 3.25519i −0.217204 0.182256i
\(320\) −0.173648 0.984808i −0.00970723 0.0550524i
\(321\) 6.36959 + 2.31834i 0.355516 + 0.129397i
\(322\) 22.3800 1.24719
\(323\) −20.3746 + 1.90236i −1.13368 + 0.105850i
\(324\) 1.00000 0.0555556
\(325\) −6.69846 2.43804i −0.371564 0.135238i
\(326\) −2.93582 16.6499i −0.162600 0.922151i
\(327\) −0.347296 0.291416i −0.0192055 0.0161154i
\(328\) 4.97178 4.17182i 0.274521 0.230350i
\(329\) −1.92556 + 10.9204i −0.106159 + 0.602059i
\(330\) 0.939693 1.62760i 0.0517284 0.0895962i
\(331\) 2.70961 + 4.69318i 0.148933 + 0.257960i 0.930834 0.365443i \(-0.119083\pi\)
−0.781900 + 0.623404i \(0.785749\pi\)
\(332\) −7.71688 + 2.80872i −0.423519 + 0.154148i
\(333\) −1.63176 + 0.593912i −0.0894198 + 0.0325462i
\(334\) −12.3366 21.3677i −0.675030 1.16919i
\(335\) 4.75877 8.24243i 0.259999 0.450332i
\(336\) 0.571452 3.24086i 0.0311752 0.176804i
\(337\) 25.5553 21.4435i 1.39209 1.16810i 0.427600 0.903968i \(-0.359359\pi\)
0.964487 0.264131i \(-0.0850852\pi\)
\(338\) −28.9668 24.3060i −1.57559 1.32207i
\(339\) −1.26857 7.19442i −0.0688993 0.390747i
\(340\) −4.41147 1.60565i −0.239246 0.0870783i
\(341\) −8.36959 −0.453238
\(342\) 3.93969 1.86516i 0.213034 0.100856i
\(343\) 10.4328 0.563320
\(344\) −8.06418 2.93512i −0.434791 0.158251i
\(345\) 1.18092 + 6.69734i 0.0635787 + 0.360573i
\(346\) 12.1643 + 10.2071i 0.653958 + 0.548736i
\(347\) −10.4192 + 8.74276i −0.559333 + 0.469336i −0.878087 0.478502i \(-0.841180\pi\)
0.318754 + 0.947838i \(0.396736\pi\)
\(348\) 0.467911 2.65366i 0.0250827 0.142251i
\(349\) 6.65776 11.5316i 0.356382 0.617271i −0.630972 0.775806i \(-0.717344\pi\)
0.987353 + 0.158535i \(0.0506770\pi\)
\(350\) −1.64543 2.84997i −0.0879519 0.152337i
\(351\) 6.69846 2.43804i 0.357538 0.130133i
\(352\) 1.76604 0.642788i 0.0941305 0.0342607i
\(353\) 10.4534 + 18.1058i 0.556376 + 0.963672i 0.997795 + 0.0663709i \(0.0211421\pi\)
−0.441419 + 0.897301i \(0.645525\pi\)
\(354\) 3.68479 6.38225i 0.195845 0.339213i
\(355\) 0.857097 4.86084i 0.0454900 0.257986i
\(356\) −10.8059 + 9.06720i −0.572710 + 0.480561i
\(357\) −11.8348 9.93058i −0.626364 0.525582i
\(358\) −2.82682 16.0317i −0.149402 0.847301i
\(359\) 12.4243 + 4.52206i 0.655728 + 0.238665i 0.648391 0.761308i \(-0.275442\pi\)
0.00733699 + 0.999973i \(0.497665\pi\)
\(360\) 1.00000 0.0527046
\(361\) 12.0424 14.6963i 0.633808 0.773490i
\(362\) 23.1634 1.21744
\(363\) −7.01754 2.55418i −0.368325 0.134059i
\(364\) −4.07351 23.1020i −0.213510 1.21088i
\(365\) −3.69459 3.10013i −0.193384 0.162268i
\(366\) −1.63041 + 1.36808i −0.0852232 + 0.0715107i
\(367\) −3.54829 + 20.1233i −0.185219 + 1.05043i 0.740455 + 0.672106i \(0.234610\pi\)
−0.925674 + 0.378323i \(0.876501\pi\)
\(368\) −3.40033 + 5.88954i −0.177254 + 0.307014i
\(369\) 3.24510 + 5.62068i 0.168933 + 0.292601i
\(370\) −1.63176 + 0.593912i −0.0848311 + 0.0308760i
\(371\) −13.4675 + 4.90177i −0.699198 + 0.254487i
\(372\) −2.22668 3.85673i −0.115448 0.199962i
\(373\) 14.8944 25.7979i 0.771203 1.33576i −0.165701 0.986176i \(-0.552989\pi\)
0.936904 0.349586i \(-0.113678\pi\)
\(374\) 1.53209 8.68891i 0.0792224 0.449293i
\(375\) 0.766044 0.642788i 0.0395584 0.0331934i
\(376\) −2.58125 2.16593i −0.133118 0.111699i
\(377\) −3.33544 18.9162i −0.171784 0.974234i
\(378\) 3.09240 + 1.12554i 0.159056 + 0.0578915i
\(379\) −4.95542 −0.254543 −0.127271 0.991868i \(-0.540622\pi\)
−0.127271 + 0.991868i \(0.540622\pi\)
\(380\) 3.93969 1.86516i 0.202102 0.0956807i
\(381\) −12.0770 −0.618722
\(382\) 0.921274 + 0.335316i 0.0471365 + 0.0171563i
\(383\) 2.75268 + 15.6112i 0.140655 + 0.797696i 0.970753 + 0.240079i \(0.0771732\pi\)
−0.830098 + 0.557617i \(0.811716\pi\)
\(384\) 0.766044 + 0.642788i 0.0390920 + 0.0328021i
\(385\) 4.73783 3.97551i 0.241462 0.202611i
\(386\) −1.67499 + 9.49935i −0.0852549 + 0.483504i
\(387\) 4.29086 7.43199i 0.218117 0.377789i
\(388\) 0.652704 + 1.13052i 0.0331360 + 0.0573932i
\(389\) −27.0574 + 9.84808i −1.37186 + 0.499317i −0.919701 0.392619i \(-0.871569\pi\)
−0.452162 + 0.891936i \(0.649347\pi\)
\(390\) 6.69846 2.43804i 0.339190 0.123455i
\(391\) 15.9632 + 27.6490i 0.807292 + 1.39827i
\(392\) 1.91488 3.31667i 0.0967159 0.167517i
\(393\) 0.486329 2.75811i 0.0245321 0.139128i
\(394\) −17.4251 + 14.6214i −0.877866 + 0.736617i
\(395\) −9.88713 8.29628i −0.497475 0.417431i
\(396\) 0.326352 + 1.85083i 0.0163998 + 0.0930079i
\(397\) 27.1707 + 9.88933i 1.36366 + 0.496331i 0.917184 0.398465i \(-0.130457\pi\)
0.446475 + 0.894796i \(0.352679\pi\)
\(398\) −18.8384 −0.944285
\(399\) 14.2824 1.33353i 0.715014 0.0667601i
\(400\) 1.00000 0.0500000
\(401\) −27.0428 9.84278i −1.35045 0.491525i −0.437365 0.899284i \(-0.644088\pi\)
−0.913090 + 0.407759i \(0.866310\pi\)
\(402\) 1.65270 + 9.37295i 0.0824294 + 0.467480i
\(403\) −24.3182 20.4054i −1.21138 1.01647i
\(404\) 0.901674 0.756594i 0.0448600 0.0376420i
\(405\) −0.173648 + 0.984808i −0.00862865 + 0.0489355i
\(406\) 4.43376 7.67950i 0.220044 0.381127i
\(407\) −1.63176 2.82629i −0.0808833 0.140094i
\(408\) 4.41147 1.60565i 0.218401 0.0794913i
\(409\) 14.7160 5.35619i 0.727660 0.264846i 0.0484857 0.998824i \(-0.484560\pi\)
0.679174 + 0.733977i \(0.262338\pi\)
\(410\) 3.24510 + 5.62068i 0.160264 + 0.277585i
\(411\) 7.29086 12.6281i 0.359632 0.622900i
\(412\) −2.41400 + 13.6905i −0.118929 + 0.674481i
\(413\) 18.5783 15.5891i 0.914179 0.767087i
\(414\) −5.20961 4.37138i −0.256038 0.214842i
\(415\) −1.42602 8.08737i −0.0700007 0.396994i
\(416\) 6.69846 + 2.43804i 0.328419 + 0.119535i
\(417\) −11.1729 −0.547141
\(418\) 4.73783 + 6.68302i 0.231735 + 0.326877i
\(419\) 0.753718 0.0368215 0.0184108 0.999831i \(-0.494139\pi\)
0.0184108 + 0.999831i \(0.494139\pi\)
\(420\) 3.09240 + 1.12554i 0.150893 + 0.0549207i
\(421\) −0.522593 2.96377i −0.0254696 0.144446i 0.969421 0.245403i \(-0.0789204\pi\)
−0.994891 + 0.100958i \(0.967809\pi\)
\(422\) 12.6741 + 10.6348i 0.616966 + 0.517696i
\(423\) 2.58125 2.16593i 0.125505 0.105311i
\(424\) 0.756244 4.28887i 0.0367265 0.208286i
\(425\) 2.34730 4.06564i 0.113861 0.197212i
\(426\) 2.46791 + 4.27455i 0.119571 + 0.207103i
\(427\) −6.58172 + 2.39555i −0.318512 + 0.115929i
\(428\) −6.36959 + 2.31834i −0.307886 + 0.112061i
\(429\) 6.69846 + 11.6021i 0.323405 + 0.560154i
\(430\) 4.29086 7.43199i 0.206924 0.358402i
\(431\) −4.68004 + 26.5419i −0.225430 + 1.27848i 0.636432 + 0.771333i \(0.280410\pi\)
−0.861862 + 0.507143i \(0.830702\pi\)
\(432\) −0.766044 + 0.642788i −0.0368563 + 0.0309261i
\(433\) 7.04189 + 5.90885i 0.338412 + 0.283961i 0.796117 0.605143i \(-0.206884\pi\)
−0.457705 + 0.889104i \(0.651328\pi\)
\(434\) −2.54488 14.4327i −0.122158 0.692794i
\(435\) 2.53209 + 0.921605i 0.121404 + 0.0441876i
\(436\) 0.453363 0.0217122
\(437\) −28.6776 7.50514i −1.37183 0.359020i
\(438\) 4.82295 0.230449
\(439\) −0.453363 0.165011i −0.0216378 0.00787553i 0.331179 0.943568i \(-0.392554\pi\)
−0.352816 + 0.935693i \(0.614776\pi\)
\(440\) 0.326352 + 1.85083i 0.0155582 + 0.0882350i
\(441\) 2.93376 + 2.46172i 0.139703 + 0.117225i
\(442\) 25.6355 21.5107i 1.21935 1.02316i
\(443\) 5.74422 32.5771i 0.272916 1.54778i −0.472588 0.881284i \(-0.656680\pi\)
0.745504 0.666501i \(-0.232209\pi\)
\(444\) 0.868241 1.50384i 0.0412049 0.0713690i
\(445\) −7.05303 12.2162i −0.334346 0.579104i
\(446\) 1.95589 0.711886i 0.0926140 0.0337088i
\(447\) 18.0077 6.55428i 0.851737 0.310007i
\(448\) 1.64543 + 2.84997i 0.0777392 + 0.134648i
\(449\) 3.44949 5.97470i 0.162792 0.281963i −0.773077 0.634312i \(-0.781284\pi\)
0.935869 + 0.352349i \(0.114617\pi\)
\(450\) −0.173648 + 0.984808i −0.00818585 + 0.0464243i
\(451\) −9.34389 + 7.84046i −0.439987 + 0.369193i
\(452\) 5.59627 + 4.69583i 0.263226 + 0.220873i
\(453\) 0.815207 + 4.62327i 0.0383018 + 0.217220i
\(454\) 10.3550 + 3.76893i 0.485986 + 0.176884i
\(455\) 23.4584 1.09975
\(456\) −1.81908 + 3.96118i −0.0851861 + 0.185499i
\(457\) −28.8830 −1.35109 −0.675545 0.737319i \(-0.736092\pi\)
−0.675545 + 0.737319i \(0.736092\pi\)
\(458\) −24.0205 8.74276i −1.12241 0.408522i
\(459\) 0.815207 + 4.62327i 0.0380506 + 0.215796i
\(460\) −5.20961 4.37138i −0.242899 0.203817i
\(461\) −10.5294 + 8.83522i −0.490403 + 0.411497i −0.854171 0.519993i \(-0.825935\pi\)
0.363768 + 0.931490i \(0.381490\pi\)
\(462\) −1.07398 + 6.09083i −0.0499660 + 0.283371i
\(463\) 0.180922 0.313366i 0.00840816 0.0145634i −0.861791 0.507264i \(-0.830657\pi\)
0.870199 + 0.492701i \(0.163990\pi\)
\(464\) 1.34730 + 2.33359i 0.0625467 + 0.108334i
\(465\) 4.18479 1.52314i 0.194065 0.0706339i
\(466\) −1.75877 + 0.640140i −0.0814735 + 0.0296539i
\(467\) −8.81521 15.2684i −0.407919 0.706537i 0.586737 0.809777i \(-0.300412\pi\)
−0.994656 + 0.103241i \(0.967079\pi\)
\(468\) −3.56418 + 6.17334i −0.164754 + 0.285363i
\(469\) −5.43882 + 30.8451i −0.251141 + 1.42429i
\(470\) 2.58125 2.16593i 0.119064 0.0999068i
\(471\) −8.55690 7.18009i −0.394281 0.330841i
\(472\) 1.27972 + 7.25762i 0.0589037 + 0.334059i
\(473\) 15.1557 + 5.51622i 0.696860 + 0.253636i
\(474\) 12.9067 0.592826
\(475\) 1.15270 + 4.20372i 0.0528897 + 0.192880i
\(476\) 15.4492 0.708115
\(477\) 4.09240 + 1.48951i 0.187378 + 0.0682000i
\(478\) 3.21213 + 18.2169i 0.146920 + 0.833222i
\(479\) −13.7888 11.5702i −0.630026 0.528655i 0.270911 0.962604i \(-0.412675\pi\)
−0.900937 + 0.433950i \(0.857120\pi\)
\(480\) −0.766044 + 0.642788i −0.0349650 + 0.0293391i
\(481\) 2.14946 12.1902i 0.0980070 0.555826i
\(482\) 7.95336 13.7756i 0.362266 0.627463i
\(483\) −11.1900 19.3817i −0.509163 0.881896i
\(484\) 7.01754 2.55418i 0.318979 0.116099i
\(485\) −1.22668 + 0.446476i −0.0557007 + 0.0202734i
\(486\) −0.500000 0.866025i −0.0226805 0.0392837i
\(487\) −19.0646 + 33.0209i −0.863902 + 1.49632i 0.00423228 + 0.999991i \(0.498653\pi\)
−0.868134 + 0.496330i \(0.834681\pi\)
\(488\) 0.369585 2.09602i 0.0167303 0.0948824i
\(489\) −12.9513 + 10.8674i −0.585678 + 0.491442i
\(490\) 2.93376 + 2.46172i 0.132534 + 0.111209i
\(491\) −3.68123 20.8773i −0.166131 0.942178i −0.947890 0.318597i \(-0.896788\pi\)
0.781759 0.623581i \(-0.214323\pi\)
\(492\) −6.09879 2.21978i −0.274955 0.100075i
\(493\) 12.6500 0.569728
\(494\) −2.52750 + 30.9688i −0.113718 + 1.39335i
\(495\) −1.87939 −0.0844721
\(496\) 4.18479 + 1.52314i 0.187903 + 0.0683910i
\(497\) 2.82058 + 15.9963i 0.126520 + 0.717533i
\(498\) 6.29086 + 5.27866i 0.281900 + 0.236542i
\(499\) −30.7108 + 25.7694i −1.37480 + 1.15360i −0.403713 + 0.914886i \(0.632281\pi\)
−0.971090 + 0.238712i \(0.923275\pi\)
\(500\) −0.173648 + 0.984808i −0.00776578 + 0.0440419i
\(501\) −12.3366 + 21.3677i −0.551159 + 0.954636i
\(502\) −8.99020 15.5715i −0.401252 0.694989i
\(503\) −28.5599 + 10.3950i −1.27342 + 0.463488i −0.888252 0.459357i \(-0.848080\pi\)
−0.385171 + 0.922845i \(0.625858\pi\)
\(504\) −3.09240 + 1.12554i −0.137746 + 0.0501355i
\(505\) 0.588526 + 1.01936i 0.0261891 + 0.0453608i
\(506\) 6.39053 11.0687i 0.284094 0.492065i
\(507\) −6.56624 + 37.2390i −0.291617 + 1.65384i
\(508\) 9.25150 7.76293i 0.410469 0.344424i
\(509\) −27.7178 23.2580i −1.22857 1.03089i −0.998331 0.0577592i \(-0.981604\pi\)
−0.230240 0.973134i \(-0.573951\pi\)
\(510\) 0.815207 + 4.62327i 0.0360980 + 0.204722i
\(511\) 14.9145 + 5.42842i 0.659777 + 0.240139i
\(512\) −1.00000 −0.0441942
\(513\) −3.58512 2.47929i −0.158287 0.109463i
\(514\) 4.77837 0.210765
\(515\) −13.0633 4.75465i −0.575638 0.209515i
\(516\) 1.49020 + 8.45134i 0.0656024 + 0.372050i
\(517\) 4.85117 + 4.07061i 0.213354 + 0.179025i
\(518\) 4.37757 3.67322i 0.192340 0.161392i
\(519\) 2.75743 15.6381i 0.121038 0.686438i
\(520\) −3.56418 + 6.17334i −0.156300 + 0.270719i
\(521\) −0.433763 0.751299i −0.0190035 0.0329150i 0.856367 0.516367i \(-0.172716\pi\)
−0.875371 + 0.483452i \(0.839383\pi\)
\(522\) −2.53209 + 0.921605i −0.110827 + 0.0403376i
\(523\) −9.19759 + 3.34765i −0.402182 + 0.146382i −0.535188 0.844733i \(-0.679759\pi\)
0.133006 + 0.991115i \(0.457537\pi\)
\(524\) 1.40033 + 2.42544i 0.0611737 + 0.105956i
\(525\) −1.64543 + 2.84997i −0.0718124 + 0.124383i
\(526\) 1.30406 7.39571i 0.0568599 0.322468i
\(527\) 16.0155 13.4386i 0.697645 0.585394i
\(528\) −1.43969 1.20805i −0.0626546 0.0525734i
\(529\) 4.03714 + 22.8958i 0.175528 + 0.995468i
\(530\) 4.09240 + 1.48951i 0.177762 + 0.0647002i
\(531\) −7.36959 −0.319813
\(532\) −10.0838 + 10.2021i −0.437187 + 0.442317i
\(533\) −46.2645 −2.00394
\(534\) 13.2554 + 4.82456i 0.573616 + 0.208779i
\(535\) −1.17705 6.67539i −0.0508884 0.288602i
\(536\) −7.29086 6.11776i −0.314917 0.264247i
\(537\) −12.4704 + 10.4639i −0.538139 + 0.451552i
\(538\) 5.25402 29.7970i 0.226517 1.28464i
\(539\) −3.59879 + 6.23329i −0.155011 + 0.268487i
\(540\) −0.500000 0.866025i −0.0215166 0.0372678i
\(541\) −38.1908 + 13.9003i −1.64195 + 0.597621i −0.987378 0.158379i \(-0.949373\pi\)
−0.654571 + 0.756000i \(0.727151\pi\)
\(542\) 19.6732 7.16047i 0.845038 0.307569i
\(543\) −11.5817 20.0601i −0.497019 0.860862i
\(544\) −2.34730 + 4.06564i −0.100640 + 0.174313i
\(545\) −0.0787257 + 0.446476i −0.00337224 + 0.0191249i
\(546\) −17.9702 + 15.0788i −0.769053 + 0.645312i
\(547\) −28.4911 23.9069i −1.21819 1.02219i −0.998917 0.0465223i \(-0.985186\pi\)
−0.219276 0.975663i \(-0.570369\pi\)
\(548\) 2.53209 + 14.3602i 0.108165 + 0.613437i
\(549\) 2.00000 + 0.727940i 0.0853579 + 0.0310677i
\(550\) −1.87939 −0.0801373
\(551\) −8.25671 + 8.35359i −0.351748 + 0.355875i
\(552\) 6.80066 0.289455
\(553\) 39.9127 + 14.5270i 1.69726 + 0.617753i
\(554\) 0.331100 + 1.87776i 0.0140671 + 0.0797783i
\(555\) 1.33022 + 1.11619i 0.0564648 + 0.0473796i
\(556\) 8.55896 7.18182i 0.362981 0.304577i
\(557\) −3.58424 + 20.3273i −0.151869 + 0.861294i 0.809723 + 0.586812i \(0.199617\pi\)
−0.961592 + 0.274482i \(0.911494\pi\)
\(558\) −2.22668 + 3.85673i −0.0942629 + 0.163268i
\(559\) 30.5868 + 52.9778i 1.29368 + 2.24072i
\(560\) −3.09240 + 1.12554i −0.130678 + 0.0475628i
\(561\) −8.29086 + 3.01763i −0.350040 + 0.127404i
\(562\) −11.7934 20.4267i −0.497474 0.861650i
\(563\) 14.6578 25.3880i 0.617751 1.06998i −0.372144 0.928175i \(-0.621377\pi\)
0.989895 0.141801i \(-0.0452893\pi\)
\(564\) −0.585122 + 3.31839i −0.0246381 + 0.139730i
\(565\) −5.59627 + 4.69583i −0.235437 + 0.197555i
\(566\) 11.8229 + 9.92063i 0.496956 + 0.416995i
\(567\) −0.571452 3.24086i −0.0239987 0.136103i
\(568\) −4.63816 1.68815i −0.194613 0.0708332i
\(569\) 11.7050 0.490700 0.245350 0.969435i \(-0.421097\pi\)
0.245350 + 0.969435i \(0.421097\pi\)
\(570\) −3.58512 2.47929i −0.150164 0.103846i
\(571\) −0.216252 −0.00904988 −0.00452494 0.999990i \(-0.501440\pi\)
−0.00452494 + 0.999990i \(0.501440\pi\)
\(572\) −12.5890 4.58202i −0.526372 0.191584i
\(573\) −0.170245 0.965505i −0.00711207 0.0403346i
\(574\) −16.3614 13.7289i −0.682913 0.573032i
\(575\) 5.20961 4.37138i 0.217256 0.182299i
\(576\) 0.173648 0.984808i 0.00723534 0.0410337i
\(577\) −9.73917 + 16.8687i −0.405447 + 0.702255i −0.994373 0.105932i \(-0.966217\pi\)
0.588926 + 0.808187i \(0.299551\pi\)
\(578\) 2.51960 + 4.36408i 0.104802 + 0.181522i
\(579\) 9.06418 3.29909i 0.376694 0.137106i
\(580\) −2.53209 + 0.921605i −0.105139 + 0.0382676i
\(581\) 13.5125 + 23.4043i 0.560592 + 0.970975i
\(582\) 0.652704 1.13052i 0.0270554 0.0468614i
\(583\) −1.42127 + 8.06045i −0.0588632 + 0.333830i
\(584\) −3.69459 + 3.10013i −0.152883 + 0.128284i
\(585\) −5.46064 4.58202i −0.225770 0.189443i
\(586\) 4.50996 + 25.5773i 0.186305 + 1.05659i
\(587\) 27.8307 + 10.1295i 1.14870 + 0.418091i 0.845046 0.534693i \(-0.179573\pi\)
0.303649 + 0.952784i \(0.401795\pi\)
\(588\) −3.82976 −0.157936
\(589\) −1.57903 + 19.3474i −0.0650628 + 0.797197i
\(590\) −7.36959 −0.303401
\(591\) 21.3751 + 7.77990i 0.879254 + 0.320022i
\(592\) 0.301537 + 1.71010i 0.0123931 + 0.0702847i
\(593\) −14.4875 12.1565i −0.594931 0.499206i 0.294881 0.955534i \(-0.404720\pi\)
−0.889812 + 0.456328i \(0.849164\pi\)
\(594\) 1.43969 1.20805i 0.0590713 0.0495667i
\(595\) −2.68273 + 15.2145i −0.109981 + 0.623735i
\(596\) −9.58172 + 16.5960i −0.392482 + 0.679800i
\(597\) 9.41921 + 16.3146i 0.385503 + 0.667710i
\(598\) 45.5540 16.5803i 1.86284 0.678018i
\(599\) −6.73143 + 2.45004i −0.275039 + 0.100106i −0.475857 0.879523i \(-0.657862\pi\)
0.200818 + 0.979628i \(0.435640\pi\)
\(600\) −0.500000 0.866025i −0.0204124 0.0353553i
\(601\) 6.23736 10.8034i 0.254427 0.440681i −0.710313 0.703886i \(-0.751446\pi\)
0.964740 + 0.263206i \(0.0847797\pi\)
\(602\) −4.90404 + 27.8122i −0.199874 + 1.13354i
\(603\) 7.29086 6.11776i 0.296907 0.249134i
\(604\) −3.59627 3.01763i −0.146330 0.122785i
\(605\) 1.29679 + 7.35446i 0.0527220 + 0.299001i
\(606\) −1.10607 0.402575i −0.0449309 0.0163535i
\(607\) 30.9469 1.25609 0.628047 0.778175i \(-0.283854\pi\)
0.628047 + 0.778175i \(0.283854\pi\)
\(608\) −1.15270 4.20372i −0.0467483 0.170483i
\(609\) −8.86753 −0.359330
\(610\) 2.00000 + 0.727940i 0.0809776 + 0.0294734i
\(611\) 4.17096 + 23.6547i 0.168739 + 0.956966i
\(612\) −3.59627 3.01763i −0.145370 0.121980i
\(613\) −4.30722 + 3.61419i −0.173967 + 0.145976i −0.725614 0.688102i \(-0.758444\pi\)
0.551647 + 0.834078i \(0.314000\pi\)
\(614\) −3.90941 + 22.1714i −0.157771 + 0.894765i
\(615\) 3.24510 5.62068i 0.130855 0.226648i
\(616\) −3.09240 5.35619i −0.124596 0.215807i
\(617\) −12.7297 + 4.63322i −0.512477 + 0.186527i −0.585298 0.810819i \(-0.699022\pi\)
0.0728202 + 0.997345i \(0.476800\pi\)
\(618\) 13.0633 4.75465i 0.525483 0.191260i
\(619\) −23.8876 41.3745i −0.960123 1.66298i −0.722182 0.691703i \(-0.756861\pi\)
−0.237941 0.971280i \(-0.576473\pi\)
\(620\) −2.22668 + 3.85673i −0.0894257 + 0.154890i
\(621\) −1.18092 + 6.69734i −0.0473888 + 0.268755i
\(622\) −10.4311 + 8.75271i −0.418248 + 0.350952i
\(623\) 35.5606 + 29.8389i 1.42471 + 1.19547i
\(624\) −1.23783 7.02006i −0.0495527 0.281027i
\(625\) −0.939693 0.342020i −0.0375877 0.0136808i
\(626\) 17.8479 0.713347
\(627\) 3.41875 7.44459i 0.136532 0.297308i
\(628\) 11.1702 0.445741
\(629\) 7.66044 + 2.78817i 0.305442 + 0.111172i
\(630\) −0.571452 3.24086i −0.0227672 0.129119i
\(631\) −12.3131 10.3320i −0.490179 0.411309i 0.363912 0.931433i \(-0.381441\pi\)
−0.854090 + 0.520125i \(0.825885\pi\)
\(632\) −9.88713 + 8.29628i −0.393289 + 0.330008i
\(633\) 2.87299 16.2935i 0.114191 0.647610i
\(634\) −10.8464 + 18.7865i −0.430766 + 0.746109i
\(635\) 6.03849 + 10.4590i 0.239630 + 0.415051i
\(636\) −4.09240 + 1.48951i −0.162274 + 0.0590629i
\(637\) −25.6535 + 9.33710i −1.01643 + 0.369949i
\(638\) −2.53209 4.38571i −0.100246 0.173632i
\(639\) 2.46791 4.27455i 0.0976291 0.169098i
\(640\) 0.173648 0.984808i 0.00686405 0.0389279i
\(641\) −24.0501 + 20.1804i −0.949922 + 0.797079i −0.979284 0.202490i \(-0.935097\pi\)
0.0293627 + 0.999569i \(0.490652\pi\)
\(642\) 5.19253 + 4.35705i 0.204933 + 0.171959i
\(643\) 3.50805 + 19.8951i 0.138344 + 0.784587i 0.972473 + 0.233017i \(0.0748598\pi\)
−0.834129 + 0.551570i \(0.814029\pi\)
\(644\) 21.0303 + 7.65442i 0.828711 + 0.301626i
\(645\) −8.58172 −0.337905
\(646\) −19.7965 5.18091i −0.778884 0.203840i
\(647\) −2.16426 −0.0850858 −0.0425429 0.999095i \(-0.513546\pi\)
−0.0425429 + 0.999095i \(0.513546\pi\)
\(648\) 0.939693 + 0.342020i 0.0369146 + 0.0134358i
\(649\) −2.40508 13.6399i −0.0944076 0.535412i
\(650\) −5.46064 4.58202i −0.214184 0.179722i
\(651\) −11.2267 + 9.42030i −0.440008 + 0.369211i
\(652\) 2.93582 16.6499i 0.114976 0.652059i
\(653\) 18.0346 31.2369i 0.705749 1.22239i −0.260672 0.965428i \(-0.583944\pi\)
0.966421 0.256966i \(-0.0827227\pi\)
\(654\) −0.226682 0.392624i −0.00886395 0.0153528i
\(655\) −2.63176 + 0.957882i −0.102831 + 0.0374275i
\(656\) 6.09879 2.21978i 0.238118 0.0866678i
\(657\) −2.41147 4.17680i −0.0940806 0.162952i
\(658\) −5.54442 + 9.60321i −0.216144 + 0.374372i
\(659\) 0.937166 5.31493i 0.0365068 0.207040i −0.961098 0.276206i \(-0.910923\pi\)
0.997605 + 0.0691659i \(0.0220338\pi\)
\(660\) 1.43969 1.20805i 0.0560400 0.0470231i
\(661\) 4.73648 + 3.97438i 0.184228 + 0.154585i 0.730238 0.683193i \(-0.239409\pi\)
−0.546010 + 0.837779i \(0.683854\pi\)
\(662\) 0.941037 + 5.33688i 0.0365744 + 0.207424i
\(663\) −31.4466 11.4456i −1.22128 0.444511i
\(664\) −8.21213 −0.318693
\(665\) −8.29607 11.7022i −0.321708 0.453790i
\(666\) −1.73648 −0.0672873
\(667\) 17.2199 + 6.26752i 0.666756 + 0.242679i
\(668\) −4.28446 24.2984i −0.165771 0.940133i
\(669\) −1.59446 1.33791i −0.0616452 0.0517265i
\(670\) 7.29086 6.11776i 0.281670 0.236350i
\(671\) −0.694593 + 3.93923i −0.0268145 + 0.152072i
\(672\) 1.64543 2.84997i 0.0634738 0.109940i
\(673\) −14.1780 24.5570i −0.546521 0.946602i −0.998509 0.0545786i \(-0.982618\pi\)
0.451988 0.892024i \(-0.350715\pi\)
\(674\) 31.3482 11.4098i 1.20749 0.439490i
\(675\) 0.939693 0.342020i 0.0361688 0.0131644i
\(676\) −18.9067 32.7474i −0.727182 1.25952i
\(677\) 6.35844 11.0131i 0.244375 0.423269i −0.717581 0.696475i \(-0.754751\pi\)
0.961956 + 0.273206i \(0.0880840\pi\)
\(678\) 1.26857 7.19442i 0.0487192 0.276300i
\(679\) 3.29086 2.76136i 0.126292 0.105971i
\(680\) −3.59627 3.01763i −0.137911 0.115721i
\(681\) −1.91353 10.8522i −0.0733268 0.415857i
\(682\) −7.86484 2.86257i −0.301160 0.109613i
\(683\) −51.2918 −1.96263 −0.981313 0.192418i \(-0.938367\pi\)
−0.981313 + 0.192418i \(0.938367\pi\)
\(684\) 4.34002 0.405223i 0.165945 0.0154941i
\(685\) −14.5817 −0.557139
\(686\) 9.80365 + 3.56824i 0.374305 + 0.136236i
\(687\) 4.43882 + 25.1738i 0.169351 + 0.960439i
\(688\) −6.57398 5.51622i −0.250631 0.210304i
\(689\) −23.7813 + 19.9549i −0.905995 + 0.760220i
\(690\) −1.18092 + 6.69734i −0.0449569 + 0.254963i
\(691\) −17.5337 + 30.3693i −0.667015 + 1.15530i 0.311720 + 0.950174i \(0.399095\pi\)
−0.978735 + 0.205130i \(0.934238\pi\)
\(692\) 7.93969 + 13.7520i 0.301822 + 0.522771i
\(693\) 5.81180 2.11532i 0.220772 0.0803545i
\(694\) −12.7811 + 4.65193i −0.485162 + 0.176585i
\(695\) 5.58647 + 9.67604i 0.211907 + 0.367033i
\(696\) 1.34730 2.33359i 0.0510691 0.0884543i
\(697\) 5.29086 30.0060i 0.200406 1.13656i
\(698\) 10.2003 8.55905i 0.386086 0.323965i
\(699\) 1.43376 + 1.20307i 0.0542299 + 0.0455043i
\(700\) −0.571452 3.24086i −0.0215988 0.122493i
\(701\) 22.6604 + 8.24773i 0.855873 + 0.311512i 0.732433 0.680840i \(-0.238385\pi\)
0.123441 + 0.992352i \(0.460607\pi\)
\(702\) 7.12836 0.269042
\(703\) −6.84120 + 3.23882i −0.258021 + 0.122154i
\(704\) 1.87939 0.0708320
\(705\) −3.16637 1.15247i −0.119253 0.0434044i
\(706\) 3.63041 + 20.5891i 0.136632 + 0.774881i
\(707\) −2.96728 2.48985i −0.111596 0.0936403i
\(708\) 5.64543 4.73708i 0.212168 0.178030i
\(709\) −1.60039 + 9.07624i −0.0601037 + 0.340865i −1.00000 0.000595379i \(-0.999810\pi\)
0.939896 + 0.341461i \(0.110922\pi\)
\(710\) 2.46791 4.27455i 0.0926191 0.160421i
\(711\) −6.45336 11.1776i −0.242020 0.419191i
\(712\) −13.2554 + 4.82456i −0.496766 + 0.180808i
\(713\) 28.4593 10.3584i 1.06581 0.387923i
\(714\) −7.72462 13.3794i −0.289087 0.500713i
\(715\) 6.69846 11.6021i 0.250508 0.433893i
\(716\) 2.82682 16.0317i 0.105643 0.599132i
\(717\) 14.1702 11.8902i 0.529197 0.444049i
\(718\) 10.1284 + 8.49870i 0.377987 + 0.317169i
\(719\) 3.63816 + 20.6330i 0.135680 + 0.769481i 0.974384 + 0.224893i \(0.0722031\pi\)
−0.838703 + 0.544589i \(0.816686\pi\)
\(720\) 0.939693 + 0.342020i 0.0350203 + 0.0127463i
\(721\) 45.7485 1.70376
\(722\) 16.3425 9.69129i 0.608207 0.360672i
\(723\) −15.9067 −0.591578
\(724\) 21.7665 + 7.92236i 0.808946 + 0.294432i
\(725\) −0.467911 2.65366i −0.0173778 0.0985543i
\(726\) −5.72075 4.80028i −0.212317 0.178155i
\(727\) 6.56624 5.50973i 0.243528 0.204344i −0.512851 0.858477i \(-0.671411\pi\)
0.756380 + 0.654133i \(0.226966\pi\)
\(728\) 4.07351 23.1020i 0.150974 0.856218i
\(729\) −0.500000 + 0.866025i −0.0185185 + 0.0320750i
\(730\) −2.41147 4.17680i −0.0892527 0.154590i
\(731\) −37.8580 + 13.7792i −1.40023 + 0.509642i
\(732\) −2.00000 + 0.727940i −0.0739221 + 0.0269055i
\(733\) −25.3478 43.9036i −0.936241 1.62162i −0.772406 0.635129i \(-0.780947\pi\)
−0.163835 0.986488i \(-0.552387\pi\)
\(734\) −10.2169 + 17.6962i −0.377112 + 0.653177i
\(735\) 0.665030 3.77157i 0.0245300 0.139117i
\(736\) −5.20961 + 4.37138i −0.192029 + 0.161131i
\(737\) 13.7023 + 11.4976i 0.504732 + 0.423520i
\(738\) 1.12701 + 6.39160i 0.0414859 + 0.235278i
\(739\) 15.3195 + 5.57586i 0.563539 + 0.205111i 0.608052 0.793898i \(-0.291951\pi\)
−0.0445130 + 0.999009i \(0.514174\pi\)
\(740\) −1.73648 −0.0638343
\(741\) 28.0835 13.2955i 1.03167 0.488423i
\(742\) −14.3318 −0.526137
\(743\) 16.2258 + 5.90571i 0.595267 + 0.216659i 0.622044 0.782982i \(-0.286302\pi\)
−0.0267774 + 0.999641i \(0.508525\pi\)
\(744\) −0.773318 4.38571i −0.0283512 0.160788i
\(745\) −14.6800 12.3180i −0.537835 0.451297i
\(746\) 22.8195 19.1479i 0.835483 0.701053i
\(747\) 1.42602 8.08737i 0.0521754 0.295902i
\(748\) 4.41147 7.64090i 0.161299 0.279379i
\(749\) 11.1533 + 19.3181i 0.407534 + 0.705869i
\(750\) 0.939693 0.342020i 0.0343127 0.0124888i
\(751\) 26.0351 9.47599i 0.950034 0.345784i 0.179913 0.983682i \(-0.442418\pi\)
0.770120 + 0.637899i \(0.220196\pi\)
\(752\) −1.68479 2.91815i −0.0614381 0.106414i
\(753\) −8.99020 + 15.5715i −0.327621 + 0.567456i
\(754\) 3.33544 18.9162i 0.121469 0.688887i
\(755\) 3.59627 3.01763i 0.130882 0.109823i
\(756\) 2.52094 + 2.11532i 0.0916859 + 0.0769336i
\(757\) −7.47431 42.3889i −0.271658 1.54065i −0.749380 0.662140i \(-0.769648\pi\)
0.477722 0.878511i \(-0.341463\pi\)
\(758\) −4.65657 1.69485i −0.169134 0.0615599i
\(759\) −12.7811 −0.463923
\(760\) 4.34002 0.405223i 0.157429 0.0146990i
\(761\) −17.5098 −0.634730 −0.317365 0.948304i \(-0.602798\pi\)
−0.317365 + 0.948304i \(0.602798\pi\)
\(762\) −11.3486 4.13057i −0.411118 0.149635i
\(763\) −0.259075 1.46929i −0.00937915 0.0531918i
\(764\) 0.751030 + 0.630189i 0.0271713 + 0.0227994i
\(765\) 3.59627 3.01763i 0.130023 0.109102i
\(766\) −2.75268 + 15.6112i −0.0994583 + 0.564056i
\(767\) 26.2665 45.4949i 0.948429 1.64273i
\(768\) 0.500000 + 0.866025i 0.0180422 + 0.0312500i
\(769\) 14.6694 5.33921i 0.528991 0.192537i −0.0636968 0.997969i \(-0.520289\pi\)
0.592688 + 0.805432i \(0.298067\pi\)
\(770\) 5.81180 2.11532i 0.209443 0.0762310i
\(771\) −2.38919 4.13819i −0.0860444 0.149033i
\(772\) −4.82295 + 8.35359i −0.173582 + 0.300652i