Properties

Label 273.2.cg.a.115.1
Level $273$
Weight $2$
Character 273.115
Analytic conductor $2.180$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cg (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(9\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 115.1
Character \(\chi\) \(=\) 273.115
Dual form 273.2.cg.a.19.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.38279 + 0.638467i) q^{2} +1.00000i q^{3} +(3.53801 - 2.04267i) q^{4} +(0.488495 + 0.130892i) q^{5} +(-0.638467 - 2.38279i) q^{6} +(-2.15177 - 1.53945i) q^{7} +(-3.63751 + 3.63751i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(-2.38279 + 0.638467i) q^{2} +1.00000i q^{3} +(3.53801 - 2.04267i) q^{4} +(0.488495 + 0.130892i) q^{5} +(-0.638467 - 2.38279i) q^{6} +(-2.15177 - 1.53945i) q^{7} +(-3.63751 + 3.63751i) q^{8} -1.00000 q^{9} -1.24755 q^{10} +(-4.20987 + 4.20987i) q^{11} +(2.04267 + 3.53801i) q^{12} +(3.50782 - 0.833795i) q^{13} +(6.11010 + 2.29436i) q^{14} +(-0.130892 + 0.488495i) q^{15} +(2.25966 - 3.91384i) q^{16} +(0.466614 + 0.808199i) q^{17} +(2.38279 - 0.638467i) q^{18} +(-5.60973 + 5.60973i) q^{19} +(1.99567 - 0.534738i) q^{20} +(1.53945 - 2.15177i) q^{21} +(7.34338 - 12.7191i) q^{22} +(-7.03583 - 4.06214i) q^{23} +(-3.63751 - 3.63751i) q^{24} +(-4.10863 - 2.37212i) q^{25} +(-7.82605 + 4.22639i) q^{26} -1.00000i q^{27} +(-10.7575 - 1.05124i) q^{28} +(1.96458 + 3.40276i) q^{29} -1.24755i q^{30} +(-0.636987 - 2.37727i) q^{31} +(-0.222595 + 0.830735i) q^{32} +(-4.20987 - 4.20987i) q^{33} +(-1.62785 - 1.62785i) q^{34} +(-0.849626 - 1.03366i) q^{35} +(-3.53801 + 2.04267i) q^{36} +(0.314544 + 1.17389i) q^{37} +(9.78519 - 16.9484i) q^{38} +(0.833795 + 3.50782i) q^{39} +(-2.25303 + 1.30079i) q^{40} +(-7.84968 - 2.10332i) q^{41} +(-2.29436 + 6.11010i) q^{42} +(-0.152677 - 0.0881483i) q^{43} +(-6.29518 + 23.4939i) q^{44} +(-0.488495 - 0.130892i) q^{45} +(19.3585 + 5.18708i) q^{46} +(0.444356 - 1.65836i) q^{47} +(3.91384 + 2.25966i) q^{48} +(2.26019 + 6.62507i) q^{49} +(11.3045 + 3.02904i) q^{50} +(-0.808199 + 0.466614i) q^{51} +(10.7075 - 10.1153i) q^{52} +(0.750763 - 1.30036i) q^{53} +(0.638467 + 2.38279i) q^{54} +(-2.60754 + 1.50546i) q^{55} +(13.4268 - 2.22730i) q^{56} +(-5.60973 - 5.60973i) q^{57} +(-6.85375 - 6.85375i) q^{58} +(1.10912 - 4.13930i) q^{59} +(0.534738 + 1.99567i) q^{60} +7.79133i q^{61} +(3.03561 + 5.25784i) q^{62} +(2.15177 + 1.53945i) q^{63} +6.91705i q^{64} +(1.82269 + 0.0518399i) q^{65} +(12.7191 + 7.34338i) q^{66} +(5.39742 + 5.39742i) q^{67} +(3.30177 + 1.90628i) q^{68} +(4.06214 - 7.03583i) q^{69} +(2.68444 + 1.92055i) q^{70} +(6.54710 - 1.75429i) q^{71} +(3.63751 - 3.63751i) q^{72} +(-12.2371 + 3.27893i) q^{73} +(-1.49899 - 2.59632i) q^{74} +(2.37212 - 4.10863i) q^{75} +(-8.38844 + 31.3061i) q^{76} +(15.5395 - 2.57777i) q^{77} +(-4.22639 - 7.82605i) q^{78} +(4.64069 + 8.03790i) q^{79} +(1.61612 - 1.61612i) q^{80} +1.00000 q^{81} +20.0471 q^{82} +(-1.66068 + 1.66068i) q^{83} +(1.05124 - 10.7575i) q^{84} +(0.122152 + 0.455878i) q^{85} +(0.420078 + 0.112560i) q^{86} +(-3.40276 + 1.96458i) q^{87} -30.6269i q^{88} +(4.12627 - 1.10563i) q^{89} +1.24755 q^{90} +(-8.83159 - 3.60598i) q^{91} -33.1904 q^{92} +(2.37727 - 0.636987i) q^{93} +4.23524i q^{94} +(-3.47459 + 2.00606i) q^{95} +(-0.830735 - 0.222595i) q^{96} +(0.856967 + 3.19825i) q^{97} +(-9.61545 - 14.3431i) q^{98} +(4.20987 - 4.20987i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 4q^{7} - 36q^{9} + O(q^{10}) \) \( 36q + 4q^{7} - 36q^{9} + 4q^{11} + 16q^{12} + 42q^{14} + 12q^{16} - 4q^{17} - 24q^{19} - 14q^{20} + 4q^{22} - 12q^{23} - 24q^{25} - 28q^{26} - 12q^{28} + 8q^{29} - 6q^{31} + 46q^{32} + 4q^{33} + 24q^{34} - 10q^{35} - 20q^{37} + 8q^{38} - 2q^{39} - 30q^{40} - 34q^{41} + 24q^{42} + 30q^{43} - 32q^{44} - 26q^{46} + 4q^{47} - 24q^{48} - 20q^{50} + 24q^{51} + 98q^{52} - 8q^{53} + 30q^{55} - 10q^{56} - 24q^{57} - 96q^{58} - 14q^{59} - 46q^{60} + 48q^{62} - 4q^{63} + 28q^{65} + 18q^{66} + 62q^{67} - 54q^{68} - 4q^{69} - 148q^{70} + 42q^{71} - 52q^{73} - 20q^{74} - 10q^{75} - 12q^{76} - 24q^{77} - 16q^{78} + 76q^{80} + 36q^{81} + 48q^{82} + 60q^{83} + 50q^{84} + 2q^{85} + 12q^{86} + 18q^{87} + 50q^{89} + 40q^{91} - 100q^{92} - 6q^{93} + 24q^{95} - 4q^{96} - 36q^{97} + 16q^{98} - 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.38279 + 0.638467i −1.68489 + 0.451465i −0.969063 0.246814i \(-0.920616\pi\)
−0.715826 + 0.698279i \(0.753950\pi\)
\(3\) 1.00000i 0.577350i
\(4\) 3.53801 2.04267i 1.76900 1.02133i
\(5\) 0.488495 + 0.130892i 0.218462 + 0.0585366i 0.366390 0.930461i \(-0.380594\pi\)
−0.147928 + 0.988998i \(0.547260\pi\)
\(6\) −0.638467 2.38279i −0.260653 0.972771i
\(7\) −2.15177 1.53945i −0.813291 0.581857i
\(8\) −3.63751 + 3.63751i −1.28605 + 1.28605i
\(9\) −1.00000 −0.333333
\(10\) −1.24755 −0.394511
\(11\) −4.20987 + 4.20987i −1.26932 + 1.26932i −0.322886 + 0.946438i \(0.604653\pi\)
−0.946438 + 0.322886i \(0.895347\pi\)
\(12\) 2.04267 + 3.53801i 0.589668 + 1.02133i
\(13\) 3.50782 0.833795i 0.972894 0.231253i
\(14\) 6.11010 + 2.29436i 1.63299 + 0.613193i
\(15\) −0.130892 + 0.488495i −0.0337962 + 0.126129i
\(16\) 2.25966 3.91384i 0.564915 0.978461i
\(17\) 0.466614 + 0.808199i 0.113171 + 0.196017i 0.917047 0.398779i \(-0.130566\pi\)
−0.803876 + 0.594796i \(0.797233\pi\)
\(18\) 2.38279 0.638467i 0.561630 0.150488i
\(19\) −5.60973 + 5.60973i −1.28696 + 1.28696i −0.350335 + 0.936624i \(0.613932\pi\)
−0.936624 + 0.350335i \(0.886068\pi\)
\(20\) 1.99567 0.534738i 0.446245 0.119571i
\(21\) 1.53945 2.15177i 0.335935 0.469554i
\(22\) 7.34338 12.7191i 1.56561 2.71172i
\(23\) −7.03583 4.06214i −1.46707 0.847014i −0.467750 0.883861i \(-0.654935\pi\)
−0.999321 + 0.0368468i \(0.988269\pi\)
\(24\) −3.63751 3.63751i −0.742503 0.742503i
\(25\) −4.10863 2.37212i −0.821726 0.474424i
\(26\) −7.82605 + 4.22639i −1.53481 + 0.828863i
\(27\) 1.00000i 0.192450i
\(28\) −10.7575 1.05124i −2.03299 0.198665i
\(29\) 1.96458 + 3.40276i 0.364814 + 0.631877i 0.988746 0.149602i \(-0.0477992\pi\)
−0.623932 + 0.781479i \(0.714466\pi\)
\(30\) 1.24755i 0.227771i
\(31\) −0.636987 2.37727i −0.114406 0.426970i 0.884836 0.465903i \(-0.154271\pi\)
−0.999242 + 0.0389336i \(0.987604\pi\)
\(32\) −0.222595 + 0.830735i −0.0393496 + 0.146855i
\(33\) −4.20987 4.20987i −0.732844 0.732844i
\(34\) −1.62785 1.62785i −0.279174 0.279174i
\(35\) −0.849626 1.03366i −0.143613 0.174721i
\(36\) −3.53801 + 2.04267i −0.589668 + 0.340445i
\(37\) 0.314544 + 1.17389i 0.0517107 + 0.192987i 0.986949 0.161031i \(-0.0514819\pi\)
−0.935239 + 0.354018i \(0.884815\pi\)
\(38\) 9.78519 16.9484i 1.58737 2.74940i
\(39\) 0.833795 + 3.50782i 0.133514 + 0.561700i
\(40\) −2.25303 + 1.30079i −0.356235 + 0.205672i
\(41\) −7.84968 2.10332i −1.22591 0.328483i −0.412927 0.910764i \(-0.635494\pi\)
−0.812987 + 0.582281i \(0.802160\pi\)
\(42\) −2.29436 + 6.11010i −0.354027 + 0.942809i
\(43\) −0.152677 0.0881483i −0.0232831 0.0134425i 0.488313 0.872668i \(-0.337612\pi\)
−0.511596 + 0.859226i \(0.670946\pi\)
\(44\) −6.29518 + 23.4939i −0.949034 + 3.54184i
\(45\) −0.488495 0.130892i −0.0728206 0.0195122i
\(46\) 19.3585 + 5.18708i 2.85425 + 0.764793i
\(47\) 0.444356 1.65836i 0.0648160 0.241897i −0.925916 0.377730i \(-0.876705\pi\)
0.990732 + 0.135834i \(0.0433713\pi\)
\(48\) 3.91384 + 2.25966i 0.564915 + 0.326154i
\(49\) 2.26019 + 6.62507i 0.322884 + 0.946438i
\(50\) 11.3045 + 3.02904i 1.59870 + 0.428371i
\(51\) −0.808199 + 0.466614i −0.113171 + 0.0653390i
\(52\) 10.7075 10.1153i 1.48487 1.40274i
\(53\) 0.750763 1.30036i 0.103125 0.178618i −0.809845 0.586643i \(-0.800449\pi\)
0.912971 + 0.408025i \(0.133782\pi\)
\(54\) 0.638467 + 2.38279i 0.0868844 + 0.324257i
\(55\) −2.60754 + 1.50546i −0.351601 + 0.202997i
\(56\) 13.4268 2.22730i 1.79424 0.297636i
\(57\) −5.60973 5.60973i −0.743026 0.743026i
\(58\) −6.85375 6.85375i −0.899941 0.899941i
\(59\) 1.10912 4.13930i 0.144395 0.538890i −0.855386 0.517991i \(-0.826680\pi\)
0.999782 0.0208998i \(-0.00665310\pi\)
\(60\) 0.534738 + 1.99567i 0.0690344 + 0.257640i
\(61\) 7.79133i 0.997578i 0.866723 + 0.498789i \(0.166222\pi\)
−0.866723 + 0.498789i \(0.833778\pi\)
\(62\) 3.03561 + 5.25784i 0.385523 + 0.667746i
\(63\) 2.15177 + 1.53945i 0.271097 + 0.193952i
\(64\) 6.91705i 0.864631i
\(65\) 1.82269 + 0.0518399i 0.226077 + 0.00642995i
\(66\) 12.7191 + 7.34338i 1.56561 + 0.903908i
\(67\) 5.39742 + 5.39742i 0.659400 + 0.659400i 0.955238 0.295838i \(-0.0955989\pi\)
−0.295838 + 0.955238i \(0.595599\pi\)
\(68\) 3.30177 + 1.90628i 0.400398 + 0.231170i
\(69\) 4.06214 7.03583i 0.489024 0.847014i
\(70\) 2.68444 + 1.92055i 0.320852 + 0.229549i
\(71\) 6.54710 1.75429i 0.776998 0.208196i 0.151537 0.988452i \(-0.451578\pi\)
0.625461 + 0.780256i \(0.284911\pi\)
\(72\) 3.63751 3.63751i 0.428685 0.428685i
\(73\) −12.2371 + 3.27893i −1.43225 + 0.383770i −0.889812 0.456327i \(-0.849165\pi\)
−0.542437 + 0.840097i \(0.682498\pi\)
\(74\) −1.49899 2.59632i −0.174254 0.301816i
\(75\) 2.37212 4.10863i 0.273909 0.474424i
\(76\) −8.38844 + 31.3061i −0.962220 + 3.59105i
\(77\) 15.5395 2.57777i 1.77089 0.293764i
\(78\) −4.22639 7.82605i −0.478544 0.886126i
\(79\) 4.64069 + 8.03790i 0.522118 + 0.904335i 0.999669 + 0.0257307i \(0.00819123\pi\)
−0.477551 + 0.878604i \(0.658475\pi\)
\(80\) 1.61612 1.61612i 0.180688 0.180688i
\(81\) 1.00000 0.111111
\(82\) 20.0471 2.21383
\(83\) −1.66068 + 1.66068i −0.182284 + 0.182284i −0.792350 0.610067i \(-0.791143\pi\)
0.610067 + 0.792350i \(0.291143\pi\)
\(84\) 1.05124 10.7575i 0.114700 1.17374i
\(85\) 0.122152 + 0.455878i 0.0132492 + 0.0494469i
\(86\) 0.420078 + 0.112560i 0.0452982 + 0.0121376i
\(87\) −3.40276 + 1.96458i −0.364814 + 0.210626i
\(88\) 30.6269i 3.26484i
\(89\) 4.12627 1.10563i 0.437384 0.117197i −0.0334062 0.999442i \(-0.510636\pi\)
0.470790 + 0.882245i \(0.343969\pi\)
\(90\) 1.24755 0.131504
\(91\) −8.83159 3.60598i −0.925802 0.378009i
\(92\) −33.1904 −3.46034
\(93\) 2.37727 0.636987i 0.246511 0.0660525i
\(94\) 4.23524i 0.436831i
\(95\) −3.47459 + 2.00606i −0.356486 + 0.205817i
\(96\) −0.830735 0.222595i −0.0847865 0.0227185i
\(97\) 0.856967 + 3.19825i 0.0870119 + 0.324733i 0.995688 0.0927700i \(-0.0295721\pi\)
−0.908676 + 0.417503i \(0.862905\pi\)
\(98\) −9.61545 14.3431i −0.971307 1.44887i
\(99\) 4.20987 4.20987i 0.423108 0.423108i
\(100\) −19.3818 −1.93818
\(101\) 4.47385 0.445165 0.222583 0.974914i \(-0.428551\pi\)
0.222583 + 0.974914i \(0.428551\pi\)
\(102\) 1.62785 1.62785i 0.161181 0.161181i
\(103\) −2.07621 3.59610i −0.204575 0.354335i 0.745422 0.666593i \(-0.232248\pi\)
−0.949997 + 0.312258i \(0.898915\pi\)
\(104\) −9.72678 + 15.7927i −0.953789 + 1.54860i
\(105\) 1.03366 0.849626i 0.100875 0.0829150i
\(106\) −0.958675 + 3.57782i −0.0931148 + 0.347509i
\(107\) −4.71528 + 8.16710i −0.455843 + 0.789543i −0.998736 0.0502584i \(-0.983996\pi\)
0.542893 + 0.839802i \(0.317329\pi\)
\(108\) −2.04267 3.53801i −0.196556 0.340445i
\(109\) −6.64872 + 1.78152i −0.636832 + 0.170638i −0.562768 0.826615i \(-0.690263\pi\)
−0.0740637 + 0.997254i \(0.523597\pi\)
\(110\) 5.25204 5.25204i 0.500762 0.500762i
\(111\) −1.17389 + 0.314544i −0.111421 + 0.0298552i
\(112\) −10.8874 + 4.94304i −1.02876 + 0.467074i
\(113\) −2.13688 + 3.70118i −0.201020 + 0.348178i −0.948857 0.315705i \(-0.897759\pi\)
0.747837 + 0.663882i \(0.231092\pi\)
\(114\) 16.9484 + 9.78519i 1.58737 + 0.916467i
\(115\) −2.90527 2.90527i −0.270918 0.270918i
\(116\) 13.9014 + 8.02599i 1.29072 + 0.745195i
\(117\) −3.50782 + 0.833795i −0.324298 + 0.0770844i
\(118\) 10.5712i 0.973160i
\(119\) 0.240138 2.45738i 0.0220134 0.225268i
\(120\) −1.30079 2.25303i −0.118745 0.205672i
\(121\) 24.4460i 2.22236i
\(122\) −4.97451 18.5651i −0.450371 1.68081i
\(123\) 2.10332 7.84968i 0.189650 0.707782i
\(124\) −7.10963 7.10963i −0.638464 0.638464i
\(125\) −3.48457 3.48457i −0.311670 0.311670i
\(126\) −6.11010 2.29436i −0.544331 0.204398i
\(127\) 9.06211 5.23201i 0.804132 0.464266i −0.0407820 0.999168i \(-0.512985\pi\)
0.844914 + 0.534902i \(0.179652\pi\)
\(128\) −4.86150 18.1434i −0.429700 1.60366i
\(129\) 0.0881483 0.152677i 0.00776103 0.0134425i
\(130\) −4.37619 + 1.04020i −0.383817 + 0.0912319i
\(131\) −13.7862 + 7.95947i −1.20451 + 0.695422i −0.961554 0.274617i \(-0.911449\pi\)
−0.242952 + 0.970038i \(0.578116\pi\)
\(132\) −23.4939 6.29518i −2.04488 0.547925i
\(133\) 20.7067 3.43492i 1.79550 0.297846i
\(134\) −16.3070 9.41486i −1.40871 0.813320i
\(135\) 0.130892 0.488495i 0.0112654 0.0420430i
\(136\) −4.63714 1.24252i −0.397632 0.106545i
\(137\) 18.6481 + 4.99674i 1.59321 + 0.426900i 0.942984 0.332837i \(-0.108006\pi\)
0.650230 + 0.759737i \(0.274673\pi\)
\(138\) −5.18708 + 19.3585i −0.441554 + 1.64790i
\(139\) 6.10481 + 3.52462i 0.517804 + 0.298954i 0.736036 0.676943i \(-0.236696\pi\)
−0.218232 + 0.975897i \(0.570029\pi\)
\(140\) −5.11741 1.92160i −0.432500 0.162405i
\(141\) 1.65836 + 0.444356i 0.139659 + 0.0374216i
\(142\) −14.4803 + 8.36022i −1.21516 + 0.701574i
\(143\) −11.2573 + 18.2776i −0.941382 + 1.52845i
\(144\) −2.25966 + 3.91384i −0.188305 + 0.326154i
\(145\) 0.514297 + 1.91938i 0.0427100 + 0.159396i
\(146\) 27.0651 15.6260i 2.23992 1.29322i
\(147\) −6.62507 + 2.26019i −0.546427 + 0.186417i
\(148\) 3.51074 + 3.51074i 0.288581 + 0.288581i
\(149\) 10.2955 + 10.2955i 0.843438 + 0.843438i 0.989304 0.145867i \(-0.0465970\pi\)
−0.145867 + 0.989304i \(0.546597\pi\)
\(150\) −3.02904 + 11.3045i −0.247320 + 0.923012i
\(151\) 1.32592 + 4.94839i 0.107902 + 0.402694i 0.998658 0.0517866i \(-0.0164916\pi\)
−0.890757 + 0.454481i \(0.849825\pi\)
\(152\) 40.8109i 3.31020i
\(153\) −0.466614 0.808199i −0.0377235 0.0653390i
\(154\) −35.3817 + 16.0638i −2.85114 + 1.29446i
\(155\) 1.24466i 0.0999735i
\(156\) 10.1153 + 10.7075i 0.809871 + 0.857287i
\(157\) 0.998876 + 0.576701i 0.0797190 + 0.0460258i 0.539330 0.842095i \(-0.318678\pi\)
−0.459611 + 0.888121i \(0.652011\pi\)
\(158\) −16.1897 16.1897i −1.28799 1.28799i
\(159\) 1.30036 + 0.750763i 0.103125 + 0.0595394i
\(160\) −0.217473 + 0.376674i −0.0171927 + 0.0297787i
\(161\) 8.88599 + 19.5721i 0.700314 + 1.54249i
\(162\) −2.38279 + 0.638467i −0.187210 + 0.0501627i
\(163\) 9.67442 9.67442i 0.757759 0.757759i −0.218155 0.975914i \(-0.570004\pi\)
0.975914 + 0.218155i \(0.0700039\pi\)
\(164\) −32.0686 + 8.59276i −2.50414 + 0.670982i
\(165\) −1.50546 2.60754i −0.117200 0.202997i
\(166\) 2.89677 5.01735i 0.224833 0.389422i
\(167\) 0.561041 2.09383i 0.0434146 0.162026i −0.940815 0.338920i \(-0.889938\pi\)
0.984230 + 0.176894i \(0.0566051\pi\)
\(168\) 2.22730 + 13.4268i 0.171840 + 1.03590i
\(169\) 11.6096 5.84960i 0.893044 0.449970i
\(170\) −0.582126 1.00827i −0.0446470 0.0773309i
\(171\) 5.60973 5.60973i 0.428987 0.428987i
\(172\) −0.720232 −0.0549171
\(173\) 2.77142 0.210707 0.105354 0.994435i \(-0.466403\pi\)
0.105354 + 0.994435i \(0.466403\pi\)
\(174\) 6.85375 6.85375i 0.519581 0.519581i
\(175\) 5.18905 + 11.4293i 0.392256 + 0.863972i
\(176\) 6.96390 + 25.9896i 0.524924 + 1.95904i
\(177\) 4.13930 + 1.10912i 0.311128 + 0.0833666i
\(178\) −9.12614 + 5.26898i −0.684033 + 0.394927i
\(179\) 9.13629i 0.682878i −0.939904 0.341439i \(-0.889086\pi\)
0.939904 0.341439i \(-0.110914\pi\)
\(180\) −1.99567 + 0.534738i −0.148748 + 0.0398570i
\(181\) −12.3155 −0.915405 −0.457703 0.889105i \(-0.651328\pi\)
−0.457703 + 0.889105i \(0.651328\pi\)
\(182\) 23.3461 + 2.95361i 1.73053 + 0.218936i
\(183\) −7.79133 −0.575952
\(184\) 40.3689 10.8168i 2.97604 0.797427i
\(185\) 0.614613i 0.0451873i
\(186\) −5.25784 + 3.03561i −0.385523 + 0.222582i
\(187\) −5.36680 1.43803i −0.392459 0.105159i
\(188\) −1.81535 6.77497i −0.132398 0.494115i
\(189\) −1.53945 + 2.15177i −0.111978 + 0.156518i
\(190\) 6.99843 6.99843i 0.507720 0.507720i
\(191\) −0.534713 −0.0386905 −0.0193452 0.999813i \(-0.506158\pi\)
−0.0193452 + 0.999813i \(0.506158\pi\)
\(192\) −6.91705 −0.499195
\(193\) −4.77086 + 4.77086i −0.343414 + 0.343414i −0.857649 0.514235i \(-0.828076\pi\)
0.514235 + 0.857649i \(0.328076\pi\)
\(194\) −4.08395 7.07361i −0.293211 0.507856i
\(195\) −0.0518399 + 1.82269i −0.00371233 + 0.130526i
\(196\) 21.5294 + 18.8227i 1.53781 + 1.34448i
\(197\) −0.252665 + 0.942958i −0.0180016 + 0.0671830i −0.974342 0.225071i \(-0.927739\pi\)
0.956341 + 0.292254i \(0.0944053\pi\)
\(198\) −7.34338 + 12.7191i −0.521871 + 0.903908i
\(199\) −7.58524 13.1380i −0.537703 0.931330i −0.999027 0.0440978i \(-0.985959\pi\)
0.461324 0.887232i \(-0.347375\pi\)
\(200\) 23.5738 6.31658i 1.66692 0.446650i
\(201\) −5.39742 + 5.39742i −0.380705 + 0.380705i
\(202\) −10.6603 + 2.85641i −0.750053 + 0.200976i
\(203\) 1.01105 10.3463i 0.0709620 0.726169i
\(204\) −1.90628 + 3.30177i −0.133466 + 0.231170i
\(205\) −3.55923 2.05492i −0.248587 0.143522i
\(206\) 7.24317 + 7.24317i 0.504656 + 0.504656i
\(207\) 7.03583 + 4.06214i 0.489024 + 0.282338i
\(208\) 4.66313 15.6131i 0.323330 1.08258i
\(209\) 47.2324i 3.26714i
\(210\) −1.92055 + 2.68444i −0.132530 + 0.185244i
\(211\) 10.0981 + 17.4904i 0.695180 + 1.20409i 0.970120 + 0.242626i \(0.0780088\pi\)
−0.274940 + 0.961461i \(0.588658\pi\)
\(212\) 6.13424i 0.421302i
\(213\) 1.75429 + 6.54710i 0.120202 + 0.448600i
\(214\) 6.02110 22.4711i 0.411594 1.53609i
\(215\) −0.0630443 0.0630443i −0.00429958 0.00429958i
\(216\) 3.63751 + 3.63751i 0.247501 + 0.247501i
\(217\) −2.28904 + 6.09593i −0.155390 + 0.413819i
\(218\) 14.7051 8.48998i 0.995953 0.575014i
\(219\) −3.27893 12.2371i −0.221570 0.826909i
\(220\) −6.15033 + 10.6527i −0.414655 + 0.718204i
\(221\) 2.31067 + 2.44596i 0.155432 + 0.164533i
\(222\) 2.59632 1.49899i 0.174254 0.100605i
\(223\) −18.5472 4.96970i −1.24201 0.332796i −0.422765 0.906239i \(-0.638941\pi\)
−0.819245 + 0.573444i \(0.805607\pi\)
\(224\) 1.75785 1.44487i 0.117451 0.0965396i
\(225\) 4.10863 + 2.37212i 0.273909 + 0.158141i
\(226\) 2.72865 10.1835i 0.181507 0.677394i
\(227\) 21.2116 + 5.68363i 1.40786 + 0.377236i 0.881162 0.472815i \(-0.156762\pi\)
0.526701 + 0.850051i \(0.323429\pi\)
\(228\) −31.3061 8.38844i −2.07330 0.555538i
\(229\) 6.80200 25.3854i 0.449489 1.67751i −0.254316 0.967121i \(-0.581850\pi\)
0.703805 0.710394i \(-0.251483\pi\)
\(230\) 8.77757 + 5.06773i 0.578776 + 0.334156i
\(231\) 2.57777 + 15.5395i 0.169605 + 1.02243i
\(232\) −19.5238 5.23138i −1.28180 0.343457i
\(233\) 8.80891 5.08583i 0.577091 0.333184i −0.182886 0.983134i \(-0.558544\pi\)
0.759976 + 0.649951i \(0.225210\pi\)
\(234\) 7.82605 4.22639i 0.511605 0.276288i
\(235\) 0.434132 0.751939i 0.0283197 0.0490511i
\(236\) −4.53113 16.9104i −0.294952 1.10077i
\(237\) −8.03790 + 4.64069i −0.522118 + 0.301445i
\(238\) 0.996760 + 6.00876i 0.0646104 + 0.389490i
\(239\) −0.836974 0.836974i −0.0541394 0.0541394i 0.679519 0.733658i \(-0.262189\pi\)
−0.733658 + 0.679519i \(0.762189\pi\)
\(240\) 1.61612 + 1.61612i 0.104320 + 0.104320i
\(241\) 3.31190 12.3602i 0.213338 0.796189i −0.773407 0.633910i \(-0.781449\pi\)
0.986745 0.162279i \(-0.0518844\pi\)
\(242\) 15.6080 + 58.2498i 1.00332 + 3.74444i
\(243\) 1.00000i 0.0641500i
\(244\) 15.9151 + 27.5658i 1.01886 + 1.76472i
\(245\) 0.236924 + 3.53216i 0.0151365 + 0.225661i
\(246\) 20.0471i 1.27815i
\(247\) −15.0005 + 24.3553i −0.954461 + 1.54969i
\(248\) 10.9644 + 6.33028i 0.696239 + 0.401973i
\(249\) −1.66068 1.66068i −0.105241 0.105241i
\(250\) 10.5278 + 6.07823i 0.665837 + 0.384421i
\(251\) −7.87428 + 13.6386i −0.497020 + 0.860864i −0.999994 0.00343776i \(-0.998906\pi\)
0.502974 + 0.864301i \(0.332239\pi\)
\(252\) 10.7575 + 1.05124i 0.677662 + 0.0662218i
\(253\) 46.7210 12.5188i 2.93732 0.787053i
\(254\) −18.2526 + 18.2526i −1.14527 + 1.14527i
\(255\) −0.455878 + 0.122152i −0.0285482 + 0.00764946i
\(256\) 16.2508 + 28.1473i 1.01568 + 1.75920i
\(257\) −6.54782 + 11.3412i −0.408442 + 0.707442i −0.994715 0.102671i \(-0.967261\pi\)
0.586274 + 0.810113i \(0.300594\pi\)
\(258\) −0.112560 + 0.420078i −0.00700766 + 0.0261529i
\(259\) 1.13033 3.01017i 0.0702350 0.187043i
\(260\) 6.55458 3.53974i 0.406498 0.219526i
\(261\) −1.96458 3.40276i −0.121605 0.210626i
\(262\) 27.7678 27.7678i 1.71550 1.71550i
\(263\) −10.0561 −0.620084 −0.310042 0.950723i \(-0.600343\pi\)
−0.310042 + 0.950723i \(0.600343\pi\)
\(264\) 30.6269 1.88495
\(265\) 0.536951 0.536951i 0.0329846 0.0329846i
\(266\) −47.1467 + 21.4053i −2.89075 + 1.31244i
\(267\) 1.10563 + 4.12627i 0.0676636 + 0.252524i
\(268\) 30.1213 + 8.07097i 1.83995 + 0.493013i
\(269\) −25.4408 + 14.6883i −1.55115 + 0.895559i −0.553106 + 0.833111i \(0.686558\pi\)
−0.998048 + 0.0624485i \(0.980109\pi\)
\(270\) 1.24755i 0.0759237i
\(271\) 1.57149 0.421080i 0.0954612 0.0255788i −0.210772 0.977535i \(-0.567598\pi\)
0.306233 + 0.951956i \(0.400931\pi\)
\(272\) 4.21755 0.255727
\(273\) 3.60598 8.83159i 0.218244 0.534512i
\(274\) −47.6248 −2.87712
\(275\) 27.2831 7.31049i 1.64523 0.440839i
\(276\) 33.1904i 1.99783i
\(277\) −26.6141 + 15.3657i −1.59909 + 0.923233i −0.607424 + 0.794378i \(0.707797\pi\)
−0.991663 + 0.128856i \(0.958870\pi\)
\(278\) −16.7969 4.50070i −1.00741 0.269934i
\(279\) 0.636987 + 2.37727i 0.0381354 + 0.142323i
\(280\) 6.85048 + 0.669436i 0.409394 + 0.0400064i
\(281\) −3.89852 + 3.89852i −0.232566 + 0.232566i −0.813763 0.581197i \(-0.802585\pi\)
0.581197 + 0.813763i \(0.302585\pi\)
\(282\) −4.23524 −0.252205
\(283\) −7.33897 −0.436257 −0.218128 0.975920i \(-0.569995\pi\)
−0.218128 + 0.975920i \(0.569995\pi\)
\(284\) 19.5803 19.5803i 1.16187 1.16187i
\(285\) −2.00606 3.47459i −0.118829 0.205817i
\(286\) 15.1541 50.7392i 0.896081 3.00027i
\(287\) 13.6527 + 16.6100i 0.805895 + 0.980459i
\(288\) 0.222595 0.830735i 0.0131165 0.0489515i
\(289\) 8.06454 13.9682i 0.474385 0.821659i
\(290\) −2.45092 4.24512i −0.143923 0.249282i
\(291\) −3.19825 + 0.856967i −0.187484 + 0.0502363i
\(292\) −36.5973 + 36.5973i −2.14170 + 2.14170i
\(293\) −21.1201 + 5.65910i −1.23385 + 0.330608i −0.816076 0.577944i \(-0.803855\pi\)
−0.417771 + 0.908552i \(0.637188\pi\)
\(294\) 14.3431 9.61545i 0.836507 0.560785i
\(295\) 1.08360 1.87685i 0.0630897 0.109275i
\(296\) −5.41421 3.12589i −0.314694 0.181689i
\(297\) 4.20987 + 4.20987i 0.244281 + 0.244281i
\(298\) −31.1053 17.9586i −1.80188 1.04032i
\(299\) −28.0674 8.38279i −1.62318 0.484790i
\(300\) 19.3818i 1.11901i
\(301\) 0.192826 + 0.424714i 0.0111143 + 0.0244801i
\(302\) −6.31877 10.9444i −0.363604 0.629781i
\(303\) 4.47385i 0.257016i
\(304\) 9.27953 + 34.6317i 0.532217 + 1.98626i
\(305\) −1.01982 + 3.80603i −0.0583949 + 0.217933i
\(306\) 1.62785 + 1.62785i 0.0930582 + 0.0930582i
\(307\) −2.37972 2.37972i −0.135818 0.135818i 0.635929 0.771747i \(-0.280617\pi\)
−0.771747 + 0.635929i \(0.780617\pi\)
\(308\) 49.7135 40.8623i 2.83269 2.32835i
\(309\) 3.59610 2.07621i 0.204575 0.118112i
\(310\) 0.794675 + 2.96577i 0.0451345 + 0.168444i
\(311\) −6.25768 + 10.8386i −0.354841 + 0.614602i −0.987091 0.160162i \(-0.948798\pi\)
0.632250 + 0.774764i \(0.282132\pi\)
\(312\) −15.7927 9.72678i −0.894083 0.550671i
\(313\) 8.39852 4.84889i 0.474713 0.274075i −0.243498 0.969901i \(-0.578295\pi\)
0.718210 + 0.695826i \(0.244962\pi\)
\(314\) −2.74832 0.736410i −0.155097 0.0415580i
\(315\) 0.849626 + 1.03366i 0.0478710 + 0.0582403i
\(316\) 32.8376 + 18.9588i 1.84726 + 1.06651i
\(317\) 6.03514 22.5235i 0.338967 1.26504i −0.560536 0.828130i \(-0.689405\pi\)
0.899504 0.436913i \(-0.143928\pi\)
\(318\) −3.57782 0.958675i −0.200634 0.0537598i
\(319\) −22.5958 6.05453i −1.26512 0.338989i
\(320\) −0.905386 + 3.37895i −0.0506126 + 0.188889i
\(321\) −8.16710 4.71528i −0.455843 0.263181i
\(322\) −33.6696 40.9627i −1.87633 2.28276i
\(323\) −7.15135 1.91620i −0.397912 0.106620i
\(324\) 3.53801 2.04267i 0.196556 0.113482i
\(325\) −16.3902 4.89521i −0.909164 0.271537i
\(326\) −16.8753 + 29.2289i −0.934638 + 1.61884i
\(327\) −1.78152 6.64872i −0.0985182 0.367675i
\(328\) 36.2041 20.9025i 1.99904 1.15414i
\(329\) −3.50911 + 2.88434i −0.193464 + 0.159019i
\(330\) 5.25204 + 5.25204i 0.289115 + 0.289115i
\(331\) 16.9938 + 16.9938i 0.934065 + 0.934065i 0.997957 0.0638916i \(-0.0203512\pi\)
−0.0638916 + 0.997957i \(0.520351\pi\)
\(332\) −2.48328 + 9.26773i −0.136288 + 0.508633i
\(333\) −0.314544 1.17389i −0.0172369 0.0643290i
\(334\) 5.34738i 0.292595i
\(335\) 1.93014 + 3.34309i 0.105455 + 0.182653i
\(336\) −4.94304 10.8874i −0.269665 0.593958i
\(337\) 6.92235i 0.377085i −0.982065 0.188542i \(-0.939624\pi\)
0.982065 0.188542i \(-0.0603762\pi\)
\(338\) −23.9284 + 21.3507i −1.30153 + 1.16133i
\(339\) −3.70118 2.13688i −0.201020 0.116059i
\(340\) 1.36338 + 1.36338i 0.0739398 + 0.0739398i
\(341\) 12.6896 + 7.32635i 0.687181 + 0.396744i
\(342\) −9.78519 + 16.9484i −0.529122 + 0.916467i
\(343\) 5.33556 17.7350i 0.288093 0.957602i
\(344\) 0.876006 0.234725i 0.0472311 0.0126555i
\(345\) 2.90527 2.90527i 0.156414 0.156414i
\(346\) −6.60373 + 1.76946i −0.355019 + 0.0951270i
\(347\) −13.8236 23.9431i −0.742088 1.28533i −0.951543 0.307516i \(-0.900502\pi\)
0.209454 0.977818i \(-0.432831\pi\)
\(348\) −8.02599 + 13.9014i −0.430238 + 0.745195i
\(349\) 1.89736 7.08103i 0.101563 0.379039i −0.896369 0.443308i \(-0.853805\pi\)
0.997933 + 0.0642689i \(0.0204715\pi\)
\(350\) −19.6617 23.9206i −1.05096 1.27861i
\(351\) −0.833795 3.50782i −0.0445047 0.187233i
\(352\) −2.56019 4.43438i −0.136459 0.236353i
\(353\) −18.1569 + 18.1569i −0.966396 + 0.966396i −0.999453 0.0330576i \(-0.989476\pi\)
0.0330576 + 0.999453i \(0.489476\pi\)
\(354\) −10.5712 −0.561854
\(355\) 3.42785 0.181931
\(356\) 12.3403 12.3403i 0.654037 0.654037i
\(357\) 2.45738 + 0.240138i 0.130059 + 0.0127095i
\(358\) 5.83322 + 21.7699i 0.308295 + 1.15057i
\(359\) −2.21189 0.592674i −0.116739 0.0312801i 0.199977 0.979801i \(-0.435913\pi\)
−0.316716 + 0.948521i \(0.602580\pi\)
\(360\) 2.25303 1.30079i 0.118745 0.0685574i
\(361\) 43.9381i 2.31253i
\(362\) 29.3453 7.86305i 1.54236 0.413273i
\(363\) 24.4460 1.28308
\(364\) −38.6120 + 5.28204i −2.02382 + 0.276854i
\(365\) −6.40697 −0.335356
\(366\) 18.5651 4.97451i 0.970415 0.260022i
\(367\) 26.9876i 1.40874i 0.709832 + 0.704371i \(0.248771\pi\)
−0.709832 + 0.704371i \(0.751229\pi\)
\(368\) −31.7971 + 18.3581i −1.65754 + 0.956981i
\(369\) 7.84968 + 2.10332i 0.408638 + 0.109494i
\(370\) −0.392410 1.46450i −0.0204004 0.0761355i
\(371\) −3.61730 + 1.64231i −0.187801 + 0.0852643i
\(372\) 7.10963 7.10963i 0.368617 0.368617i
\(373\) −16.7708 −0.868361 −0.434180 0.900826i \(-0.642962\pi\)
−0.434180 + 0.900826i \(0.642962\pi\)
\(374\) 13.7061 0.708726
\(375\) 3.48457 3.48457i 0.179943 0.179943i
\(376\) 4.41595 + 7.64865i 0.227735 + 0.394449i
\(377\) 9.72861 + 10.2982i 0.501049 + 0.530384i
\(378\) 2.29436 6.11010i 0.118009 0.314270i
\(379\) −6.13097 + 22.8811i −0.314927 + 1.17532i 0.609131 + 0.793070i \(0.291518\pi\)
−0.924058 + 0.382253i \(0.875148\pi\)
\(380\) −8.19542 + 14.1949i −0.420416 + 0.728183i
\(381\) 5.23201 + 9.06211i 0.268044 + 0.464266i
\(382\) 1.27411 0.341397i 0.0651892 0.0174674i
\(383\) 14.2007 14.2007i 0.725620 0.725620i −0.244124 0.969744i \(-0.578501\pi\)
0.969744 + 0.244124i \(0.0785005\pi\)
\(384\) 18.1434 4.86150i 0.925874 0.248087i
\(385\) 7.92840 + 0.774771i 0.404069 + 0.0394860i
\(386\) 8.32193 14.4140i 0.423575 0.733653i
\(387\) 0.152677 + 0.0881483i 0.00776103 + 0.00448083i
\(388\) 9.56492 + 9.56492i 0.485585 + 0.485585i
\(389\) 28.3573 + 16.3721i 1.43777 + 0.830099i 0.997695 0.0678608i \(-0.0216174\pi\)
0.440078 + 0.897959i \(0.354951\pi\)
\(390\) −1.04020 4.37619i −0.0526728 0.221597i
\(391\) 7.58180i 0.383428i
\(392\) −32.3202 15.8773i −1.63242 0.801924i
\(393\) −7.95947 13.7862i −0.401502 0.695422i
\(394\) 2.40819i 0.121323i
\(395\) 1.21486 + 4.53391i 0.0611261 + 0.228126i
\(396\) 6.29518 23.4939i 0.316345 1.18061i
\(397\) 2.58612 + 2.58612i 0.129793 + 0.129793i 0.769019 0.639226i \(-0.220745\pi\)
−0.639226 + 0.769019i \(0.720745\pi\)
\(398\) 26.4622 + 26.4622i 1.32643 + 1.32643i
\(399\) 3.43492 + 20.7067i 0.171961 + 1.03663i
\(400\) −18.5682 + 10.7204i −0.928411 + 0.536018i
\(401\) −1.45628 5.43493i −0.0727234 0.271407i 0.919984 0.391956i \(-0.128201\pi\)
−0.992707 + 0.120548i \(0.961535\pi\)
\(402\) 9.41486 16.3070i 0.469570 0.813320i
\(403\) −4.21659 7.80790i −0.210043 0.388939i
\(404\) 15.8285 9.13860i 0.787499 0.454663i
\(405\) 0.488495 + 0.130892i 0.0242735 + 0.00650407i
\(406\) 4.19666 + 25.2987i 0.208277 + 1.25555i
\(407\) −6.26613 3.61775i −0.310601 0.179325i
\(408\) 1.24252 4.63714i 0.0615139 0.229573i
\(409\) −9.87215 2.64523i −0.488146 0.130798i 0.00634701 0.999980i \(-0.497980\pi\)
−0.494493 + 0.869181i \(0.664646\pi\)
\(410\) 9.79289 + 2.62400i 0.483637 + 0.129590i
\(411\) −4.99674 + 18.6481i −0.246471 + 0.919843i
\(412\) −14.6913 8.48202i −0.723788 0.417879i
\(413\) −8.75880 + 7.19936i −0.430993 + 0.354257i
\(414\) −19.3585 5.18708i −0.951416 0.254931i
\(415\) −1.02861 + 0.593866i −0.0504923 + 0.0291517i
\(416\) −0.0881589 + 3.09966i −0.00432235 + 0.151974i
\(417\) −3.52462 + 6.10481i −0.172601 + 0.298954i
\(418\) 30.1564 + 112.545i 1.47500 + 5.50476i
\(419\) 12.7783 7.37756i 0.624261 0.360417i −0.154265 0.988029i \(-0.549301\pi\)
0.778526 + 0.627612i \(0.215968\pi\)
\(420\) 1.92160 5.11741i 0.0937646 0.249704i
\(421\) −15.6726 15.6726i −0.763838 0.763838i 0.213176 0.977014i \(-0.431619\pi\)
−0.977014 + 0.213176i \(0.931619\pi\)
\(422\) −35.2287 35.2287i −1.71490 1.71490i
\(423\) −0.444356 + 1.65836i −0.0216053 + 0.0806323i
\(424\) 1.99916 + 7.46098i 0.0970879 + 0.362337i
\(425\) 4.42746i 0.214763i
\(426\) −8.36022 14.4803i −0.405054 0.701574i
\(427\) 11.9944 16.7651i 0.580448 0.811321i
\(428\) 38.5270i 1.86227i
\(429\) −18.2776 11.2573i −0.882452 0.543507i
\(430\) 0.190473 + 0.109970i 0.00918543 + 0.00530321i
\(431\) 17.8538 + 17.8538i 0.859990 + 0.859990i 0.991336 0.131347i \(-0.0419302\pi\)
−0.131347 + 0.991336i \(0.541930\pi\)
\(432\) −3.91384 2.25966i −0.188305 0.108718i
\(433\) −12.7247 + 22.0399i −0.611512 + 1.05917i 0.379474 + 0.925203i \(0.376105\pi\)
−0.990986 + 0.133967i \(0.957228\pi\)
\(434\) 1.56225 15.9868i 0.0749903 0.767391i
\(435\) −1.91938 + 0.514297i −0.0920273 + 0.0246586i
\(436\) −19.8842 + 19.8842i −0.952278 + 0.952278i
\(437\) 62.2565 16.6816i 2.97813 0.797989i
\(438\) 15.6260 + 27.0651i 0.746640 + 1.29322i
\(439\) −6.29997 + 10.9119i −0.300681 + 0.520795i −0.976290 0.216465i \(-0.930547\pi\)
0.675609 + 0.737260i \(0.263881\pi\)
\(440\) 4.00881 14.9611i 0.191113 0.713242i
\(441\) −2.26019 6.62507i −0.107628 0.315479i
\(442\) −7.06751 4.35292i −0.336167 0.207047i
\(443\) −5.24317 9.08144i −0.249111 0.431472i 0.714169 0.699974i \(-0.246805\pi\)
−0.963279 + 0.268501i \(0.913472\pi\)
\(444\) −3.51074 + 3.51074i −0.166612 + 0.166612i
\(445\) 2.16038 0.102412
\(446\) 47.3670 2.24289
\(447\) −10.2955 + 10.2955i −0.486959 + 0.486959i
\(448\) 10.6484 14.8839i 0.503092 0.703196i
\(449\) −1.45535 5.43146i −0.0686824 0.256326i 0.923044 0.384694i \(-0.125693\pi\)
−0.991727 + 0.128368i \(0.959026\pi\)
\(450\) −11.3045 3.02904i −0.532901 0.142790i
\(451\) 41.9008 24.1915i 1.97303 1.13913i
\(452\) 17.4597i 0.821237i
\(453\) −4.94839 + 1.32592i −0.232496 + 0.0622970i
\(454\) −54.1716 −2.54240
\(455\) −3.84220 2.91749i −0.180125 0.136774i
\(456\) 40.8109 1.91114
\(457\) −11.4453 + 3.06675i −0.535387 + 0.143457i −0.516375 0.856363i \(-0.672719\pi\)
−0.0190122 + 0.999819i \(0.506052\pi\)
\(458\) 64.8310i 3.02935i
\(459\) 0.808199 0.466614i 0.0377235 0.0217797i
\(460\) −16.2134 4.34436i −0.755952 0.202557i
\(461\) 2.12757 + 7.94019i 0.0990907 + 0.369812i 0.997608 0.0691268i \(-0.0220213\pi\)
−0.898517 + 0.438938i \(0.855355\pi\)
\(462\) −16.0638 35.3817i −0.747354 1.64610i
\(463\) −21.3807 + 21.3807i −0.993646 + 0.993646i −0.999980 0.00633382i \(-0.997984\pi\)
0.00633382 + 0.999980i \(0.497984\pi\)
\(464\) 17.7572 0.824356
\(465\) 1.24466 0.0577197
\(466\) −17.7427 + 17.7427i −0.821913 + 0.821913i
\(467\) −14.3612 24.8744i −0.664559 1.15105i −0.979405 0.201907i \(-0.935286\pi\)
0.314846 0.949143i \(-0.398047\pi\)
\(468\) −10.7075 + 10.1153i −0.494955 + 0.467579i
\(469\) −3.30493 19.9230i −0.152607 0.919961i
\(470\) −0.554358 + 2.06889i −0.0255706 + 0.0954309i
\(471\) −0.576701 + 0.998876i −0.0265730 + 0.0460258i
\(472\) 11.0223 + 19.0912i 0.507342 + 0.878742i
\(473\) 1.01384 0.271659i 0.0466166 0.0124909i
\(474\) 16.1897 16.1897i 0.743619 0.743619i
\(475\) 36.3552 9.74136i 1.66809 0.446964i
\(476\) −4.17001 9.18477i −0.191132 0.420983i
\(477\) −0.750763 + 1.30036i −0.0343751 + 0.0595394i
\(478\) 2.52872 + 1.45995i 0.115661 + 0.0667768i
\(479\) 12.0866 + 12.0866i 0.552252 + 0.552252i 0.927090 0.374838i \(-0.122302\pi\)
−0.374838 + 0.927090i \(0.622302\pi\)
\(480\) −0.376674 0.217473i −0.0171927 0.00992624i
\(481\) 2.08215 + 3.85554i 0.0949379 + 0.175798i
\(482\) 31.5663i 1.43780i
\(483\) −19.5721 + 8.88599i −0.890560 + 0.404327i
\(484\) −49.9351 86.4902i −2.26978 3.93137i
\(485\) 1.67450i 0.0760350i
\(486\) −0.638467 2.38279i −0.0289615 0.108086i
\(487\) −3.91992 + 14.6293i −0.177628 + 0.662918i 0.818461 + 0.574563i \(0.194828\pi\)
−0.996089 + 0.0883554i \(0.971839\pi\)
\(488\) −28.3410 28.3410i −1.28294 1.28294i
\(489\) 9.67442 + 9.67442i 0.437492 + 0.437492i
\(490\) −2.81971 8.26513i −0.127381 0.373380i
\(491\) 4.15520 2.39900i 0.187521 0.108266i −0.403300 0.915068i \(-0.632137\pi\)
0.590822 + 0.806802i \(0.298804\pi\)
\(492\) −8.59276 32.0686i −0.387391 1.44576i
\(493\) −1.83341 + 3.17555i −0.0825724 + 0.143020i
\(494\) 20.1931 67.6109i 0.908531 3.04196i
\(495\) 2.60754 1.50546i 0.117200 0.0676656i
\(496\) −10.7436 2.87875i −0.482403 0.129259i
\(497\) −16.7885 6.30411i −0.753066 0.282778i
\(498\) 5.01735 + 2.89677i 0.224833 + 0.129807i
\(499\) 3.91188 14.5993i 0.175120 0.653556i −0.821411 0.570336i \(-0.806813\pi\)
0.996531 0.0832201i \(-0.0265205\pi\)
\(500\) −19.4463 5.21061i −0.869664 0.233026i
\(501\) 2.09383 + 0.561041i 0.0935456 + 0.0250655i
\(502\) 10.0549 37.5255i 0.448774 1.67485i
\(503\) 13.9638 + 8.06201i 0.622615 + 0.359467i 0.777887 0.628405i \(-0.216292\pi\)
−0.155271 + 0.987872i \(0.549625\pi\)
\(504\) −13.4268 + 2.22730i −0.598078 + 0.0992120i
\(505\) 2.18546 + 0.585591i 0.0972515 + 0.0260585i
\(506\) −103.334 + 59.6596i −4.59373 + 2.65219i
\(507\) 5.84960 + 11.6096i 0.259790 + 0.515599i
\(508\) 21.3745 37.0218i 0.948342 1.64258i
\(509\) 8.57960 + 32.0195i 0.380284 + 1.41924i 0.845468 + 0.534026i \(0.179321\pi\)
−0.465184 + 0.885214i \(0.654012\pi\)
\(510\) 1.00827 0.582126i 0.0446470 0.0257770i
\(511\) 31.3792 + 11.7830i 1.38813 + 0.521248i
\(512\) −30.1297 30.1297i −1.33156 1.33156i
\(513\) 5.60973 + 5.60973i 0.247675 + 0.247675i
\(514\) 8.36113 31.2042i 0.368794 1.37636i
\(515\) −0.543518 2.02844i −0.0239503 0.0893837i
\(516\) 0.720232i 0.0317064i
\(517\) 5.11080 + 8.85217i 0.224773 + 0.389318i
\(518\) −0.771437 + 7.89428i −0.0338950 + 0.346855i
\(519\) 2.77142i 0.121652i
\(520\) −6.81862 + 6.44148i −0.299016 + 0.282478i
\(521\) −8.41886 4.86063i −0.368837 0.212948i 0.304113 0.952636i \(-0.401640\pi\)
−0.672950 + 0.739688i \(0.734973\pi\)
\(522\) 6.85375 + 6.85375i 0.299980 + 0.299980i
\(523\) −16.8431 9.72437i −0.736497 0.425217i 0.0842971 0.996441i \(-0.473136\pi\)
−0.820794 + 0.571224i \(0.806469\pi\)
\(524\) −32.5171 + 56.3213i −1.42052 + 2.46041i
\(525\) −11.4293 + 5.18905i −0.498815 + 0.226469i
\(526\) 23.9615 6.42047i 1.04477 0.279946i
\(527\) 1.62408 1.62408i 0.0707460 0.0707460i
\(528\) −25.9896 + 6.96390i −1.13105 + 0.303065i
\(529\) 21.5019 + 37.2424i 0.934865 + 1.61923i
\(530\) −0.936617 + 1.62227i −0.0406840 + 0.0704668i
\(531\) −1.10912 + 4.13930i −0.0481317 + 0.179630i
\(532\) 66.2441 54.4498i 2.87204 2.36070i
\(533\) −29.2890 0.833021i −1.26865 0.0360821i
\(534\) −5.26898 9.12614i −0.228011 0.394927i
\(535\) −3.37240 + 3.37240i −0.145801 + 0.145801i
\(536\) −39.2663 −1.69605
\(537\) 9.13629 0.394260
\(538\) 51.2422 51.2422i 2.20921 2.20921i
\(539\) −37.4058 18.3756i −1.61118 0.791492i
\(540\) −0.534738 1.99567i −0.0230115 0.0858799i
\(541\) −10.2493 2.74629i −0.440652 0.118072i 0.0316700 0.999498i \(-0.489917\pi\)
−0.472322 + 0.881426i \(0.656584\pi\)
\(542\) −3.47569 + 2.00669i −0.149294 + 0.0861947i
\(543\) 12.3155i 0.528509i
\(544\) −0.775265 + 0.207732i −0.0332392 + 0.00890642i
\(545\) −3.48105 −0.149112
\(546\) −2.95361 + 23.3461i −0.126403 + 0.999122i
\(547\) −23.4548 −1.00285 −0.501427 0.865200i \(-0.667192\pi\)
−0.501427 + 0.865200i \(0.667192\pi\)
\(548\) 76.1838 20.4134i 3.25441 0.872017i
\(549\) 7.79133i 0.332526i
\(550\) −60.3425 + 34.8388i −2.57301 + 1.48553i
\(551\) −30.1093 8.06777i −1.28270 0.343699i
\(552\) 10.8168 + 40.3689i 0.460395 + 1.71822i
\(553\) 2.38828 24.4398i 0.101560 1.03929i
\(554\) 53.6054 53.6054i 2.27748 2.27748i
\(555\) −0.614613 −0.0260889
\(556\) 28.7985 1.22133
\(557\) 14.1726 14.1726i 0.600512 0.600512i −0.339936 0.940448i \(-0.610406\pi\)
0.940448 + 0.339936i \(0.110406\pi\)
\(558\) −3.03561 5.25784i −0.128508 0.222582i
\(559\) −0.609062 0.181907i −0.0257606 0.00769383i
\(560\) −5.96546 + 0.989578i −0.252087 + 0.0418173i
\(561\) 1.43803 5.36680i 0.0607136 0.226586i
\(562\) 6.80029 11.7785i 0.286853 0.496844i
\(563\) −22.8772 39.6245i −0.964159 1.66997i −0.711859 0.702322i \(-0.752147\pi\)
−0.252299 0.967649i \(-0.581187\pi\)
\(564\) 6.77497 1.81535i 0.285278 0.0764399i
\(565\) −1.52831 + 1.52831i −0.0642964 + 0.0642964i
\(566\) 17.4872 4.68569i 0.735044 0.196954i
\(567\) −2.15177 1.53945i −0.0903657 0.0646508i
\(568\) −17.4339 + 30.1964i −0.731510 + 1.26701i
\(569\) 20.8891 + 12.0603i 0.875717 + 0.505595i 0.869244 0.494384i \(-0.164606\pi\)
0.00647287 + 0.999979i \(0.497940\pi\)
\(570\) 6.99843 + 6.99843i 0.293132 + 0.293132i
\(571\) 15.0931 + 8.71402i 0.631628 + 0.364671i 0.781382 0.624053i \(-0.214515\pi\)
−0.149754 + 0.988723i \(0.547848\pi\)
\(572\) −2.49321 + 87.6613i −0.104247 + 3.66530i
\(573\) 0.534713i 0.0223380i
\(574\) −43.1366 30.8614i −1.80049 1.28813i
\(575\) 19.2717 + 33.3796i 0.803687 + 1.39203i
\(576\) 6.91705i 0.288210i
\(577\) 5.64807 + 21.0789i 0.235132 + 0.877525i 0.978089 + 0.208186i \(0.0667559\pi\)
−0.742957 + 0.669339i \(0.766577\pi\)
\(578\) −10.2979 + 38.4323i −0.428336 + 1.59857i
\(579\) −4.77086 4.77086i −0.198270 0.198270i
\(580\) 5.74025 + 5.74025i 0.238351 + 0.238351i
\(581\) 6.12994 1.01686i 0.254313 0.0421866i
\(582\) 7.07361 4.08395i 0.293211 0.169285i
\(583\) 2.31373 + 8.63496i 0.0958249 + 0.357623i
\(584\) 32.5856 56.4399i 1.34840 2.33550i
\(585\) −1.82269 0.0518399i −0.0753589 0.00214332i
\(586\) 46.7116 26.9689i 1.92964 1.11408i
\(587\) −13.4282 3.59809i −0.554243 0.148509i −0.0291829 0.999574i \(-0.509291\pi\)
−0.525060 + 0.851065i \(0.675957\pi\)
\(588\) −18.8227 + 21.5294i −0.776236 + 0.887857i
\(589\) 16.9091 + 9.76250i 0.696729 + 0.402257i
\(590\) −1.38369 + 5.16399i −0.0569655 + 0.212598i
\(591\) −0.942958 0.252665i −0.0387881 0.0103932i
\(592\) 5.30520 + 1.42152i 0.218042 + 0.0584243i
\(593\) −8.72592 + 32.5656i −0.358331 + 1.33731i 0.517911 + 0.855435i \(0.326710\pi\)
−0.876241 + 0.481873i \(0.839957\pi\)
\(594\) −12.7191 7.34338i −0.521871 0.301303i
\(595\) 0.438958 1.16899i 0.0179955 0.0479239i
\(596\) 57.4557 + 15.3952i 2.35348 + 0.630612i
\(597\) 13.1380 7.58524i 0.537703 0.310443i
\(598\) 72.2309 + 2.05435i 2.95374 + 0.0840086i
\(599\) −6.39544 + 11.0772i −0.261311 + 0.452603i −0.966590 0.256326i \(-0.917488\pi\)
0.705280 + 0.708929i \(0.250821\pi\)
\(600\) 6.31658 + 23.5738i 0.257873 + 0.962396i
\(601\) −26.5897 + 15.3516i −1.08462 + 0.626205i −0.932138 0.362102i \(-0.882059\pi\)
−0.152480 + 0.988307i \(0.548726\pi\)
\(602\) −0.730630 0.888891i −0.0297783 0.0362285i
\(603\) −5.39742 5.39742i −0.219800 0.219800i
\(604\) 14.7990 + 14.7990i 0.602164 + 0.602164i
\(605\) 3.19979 11.9418i 0.130090 0.485502i
\(606\) −2.85641 10.6603i −0.116034 0.433044i
\(607\) 26.8554i 1.09003i −0.838427 0.545014i \(-0.816524\pi\)
0.838427 0.545014i \(-0.183476\pi\)
\(608\) −3.41150 5.90889i −0.138355 0.239637i
\(609\) 10.3463 + 1.01105i 0.419254 + 0.0409699i
\(610\) 9.72010i 0.393555i
\(611\) 0.175988 6.18773i 0.00711971 0.250329i
\(612\) −3.30177 1.90628i −0.133466 0.0770567i
\(613\) −7.54924 7.54924i −0.304911 0.304911i 0.538021 0.842932i \(-0.319172\pi\)
−0.842932 + 0.538021i \(0.819172\pi\)
\(614\) 7.18975 + 4.15100i 0.290155 + 0.167521i
\(615\) 2.05492 3.55923i 0.0828624 0.143522i
\(616\) −47.1485 + 65.9019i −1.89967 + 2.65526i
\(617\) −8.37021 + 2.24279i −0.336972 + 0.0902913i −0.423337 0.905972i \(-0.639141\pi\)
0.0863653 + 0.996264i \(0.472475\pi\)
\(618\) −7.24317 + 7.24317i −0.291363 + 0.291363i
\(619\) −5.25761 + 1.40877i −0.211321 + 0.0566233i −0.362926 0.931818i \(-0.618222\pi\)
0.151605 + 0.988441i \(0.451556\pi\)
\(620\) −2.54243 4.40362i −0.102106 0.176854i
\(621\) −4.06214 + 7.03583i −0.163008 + 0.282338i
\(622\) 7.99065 29.8215i 0.320396 1.19573i
\(623\) −10.5808 3.97313i −0.423912 0.159180i
\(624\) 15.6131 + 4.66313i 0.625026 + 0.186674i
\(625\) 10.6145 + 18.3849i 0.424580 + 0.735394i
\(626\) −16.9161 + 16.9161i −0.676102 + 0.676102i
\(627\) 47.2324 1.88628
\(628\) 4.71204 0.188031
\(629\) −0.801970 + 0.801970i −0.0319766 + 0.0319766i
\(630\) −2.68444 1.92055i −0.106951 0.0765164i
\(631\) 1.72756 + 6.44735i 0.0687731 + 0.256665i 0.991749 0.128192i \(-0.0409174\pi\)
−0.922976 + 0.384857i \(0.874251\pi\)
\(632\) −46.1185 12.3574i −1.83449 0.491551i
\(633\) −17.4904 + 10.0981i −0.695180 + 0.401363i
\(634\) 57.5219i 2.28449i
\(635\) 5.11162 1.36966i 0.202849 0.0543531i
\(636\) 6.13424 0.243239
\(637\) 13.4523 + 21.3550i 0.532999 + 0.846116i
\(638\) 57.7068 2.28463
\(639\) −6.54710 + 1.75429i −0.258999 + 0.0693987i
\(640\) 9.49928i 0.375492i
\(641\) −3.17545 + 1.83335i −0.125423 + 0.0724129i −0.561399 0.827545i \(-0.689737\pi\)
0.435976 + 0.899958i \(0.356403\pi\)
\(642\) 22.4711 + 6.02110i 0.886862 + 0.237634i
\(643\) 4.98038 + 18.5870i 0.196407 + 0.733001i 0.991898 + 0.127036i \(0.0405462\pi\)
−0.795491 + 0.605965i \(0.792787\pi\)
\(644\) 71.4180 + 51.0950i 2.81426 + 2.01342i
\(645\) 0.0630443 0.0630443i 0.00248237 0.00248237i
\(646\) 18.2636 0.718573
\(647\) 2.14470 0.0843167 0.0421583 0.999111i \(-0.486577\pi\)
0.0421583 + 0.999111i \(0.486577\pi\)
\(648\) −3.63751 + 3.63751i −0.142895 + 0.142895i
\(649\) 12.7566 + 22.0952i 0.500742 + 0.867311i
\(650\) 42.1799 + 1.19966i 1.65443 + 0.0470544i
\(651\) −6.09593 2.28904i −0.238918 0.0897144i
\(652\) 14.4665 53.9898i 0.566553 2.11440i
\(653\) 11.3978 19.7415i 0.446029 0.772544i −0.552095 0.833781i \(-0.686171\pi\)
0.998123 + 0.0612374i \(0.0195047\pi\)
\(654\) 8.48998 + 14.7051i 0.331984 + 0.575014i
\(655\) −7.77632 + 2.08366i −0.303846 + 0.0814153i
\(656\) −25.9696 + 25.9696i −1.01394 + 1.01394i
\(657\) 12.2371 3.27893i 0.477416 0.127923i
\(658\) 6.51993 9.11323i 0.254173 0.355271i
\(659\) −16.2426 + 28.1330i −0.632721 + 1.09591i 0.354272 + 0.935142i \(0.384729\pi\)
−0.986993 + 0.160763i \(0.948605\pi\)
\(660\) −10.6527 6.15033i −0.414655 0.239401i
\(661\) −24.4397 24.4397i −0.950596 0.950596i 0.0482402 0.998836i \(-0.484639\pi\)
−0.998836 + 0.0482402i \(0.984639\pi\)
\(662\) −51.3428 29.6428i −1.99549 1.15210i
\(663\) −2.44596 + 2.31067i −0.0949930 + 0.0897390i
\(664\) 12.0815i 0.468853i
\(665\) 10.5647 + 1.03240i 0.409683 + 0.0400346i
\(666\) 1.49899 + 2.59632i 0.0580845 + 0.100605i
\(667\) 31.9216i 1.23601i
\(668\) −2.29204 8.55402i −0.0886818 0.330965i
\(669\) 4.96970 18.5472i 0.192140 0.717075i
\(670\) −6.73357 6.73357i −0.260141 0.260141i
\(671\) −32.8005 32.8005i −1.26625 1.26625i
\(672\) 1.44487 + 1.75785i 0.0557372 + 0.0678104i
\(673\) −14.0303 + 8.10040i −0.540828 + 0.312247i −0.745415 0.666601i \(-0.767748\pi\)
0.204586 + 0.978849i \(0.434415\pi\)
\(674\) 4.41969 + 16.4945i 0.170240 + 0.635345i
\(675\) −2.37212 + 4.10863i −0.0913029 + 0.158141i
\(676\) 29.1259 44.4105i 1.12023 1.70809i
\(677\) 16.1987 9.35233i 0.622567 0.359439i −0.155301 0.987867i \(-0.549635\pi\)
0.777868 + 0.628428i \(0.216301\pi\)
\(678\) 10.1835 + 2.72865i 0.391094 + 0.104793i
\(679\) 3.07955 8.20113i 0.118182 0.314731i
\(680\) −2.10259 1.21393i −0.0806306 0.0465521i
\(681\) −5.68363 + 21.2116i −0.217797 + 0.812830i
\(682\) −34.9144 9.35527i −1.33694 0.358232i
\(683\) −6.89832 1.84840i −0.263957 0.0707270i 0.124413 0.992230i \(-0.460295\pi\)
−0.388370 + 0.921503i \(0.626962\pi\)
\(684\) 8.38844 31.3061i 0.320740 1.19702i
\(685\) 8.45547 + 4.88177i 0.323067 + 0.186523i
\(686\) −1.39029 + 45.6655i −0.0530817 + 1.74352i
\(687\) 25.3854 + 6.80200i 0.968514 + 0.259512i
\(688\) −0.689998 + 0.398370i −0.0263059 + 0.0151877i
\(689\) 1.54931 5.18741i 0.0590239 0.197624i
\(690\) −5.06773 + 8.77757i −0.192925 + 0.334156i
\(691\) −12.0995 45.1559i −0.460286 1.71781i −0.672064 0.740493i \(-0.734592\pi\)
0.211778 0.977318i \(-0.432074\pi\)
\(692\) 9.80532 5.66110i 0.372742 0.215203i
\(693\) −15.5395 + 2.57777i −0.590298 + 0.0979214i
\(694\) 48.2256 + 48.2256i 1.83062 + 1.83062i
\(695\) 2.52083 + 2.52083i 0.0956205 + 0.0956205i
\(696\) 5.23138 19.5238i 0.198295 0.740046i
\(697\) −1.96287 7.32554i −0.0743491 0.277475i
\(698\) 18.0840i 0.684491i
\(699\) 5.08583 + 8.80891i 0.192364 + 0.333184i
\(700\) 41.7051 + 29.8373i 1.57631 + 1.12775i
\(701\) 12.2740i 0.463581i 0.972766 + 0.231790i \(0.0744584\pi\)
−0.972766 + 0.231790i \(0.925542\pi\)
\(702\) 4.22639 + 7.82605i 0.159515 + 0.295375i
\(703\) −8.34973 4.82072i −0.314916 0.181817i
\(704\) −29.1199 29.1199i −1.09750 1.09750i
\(705\) 0.751939 + 0.434132i 0.0283197 + 0.0163504i
\(706\) 31.6716 54.8568i 1.19198 2.06456i
\(707\) −9.62668 6.88727i −0.362049 0.259023i
\(708\) 16.9104 4.53113i 0.635533 0.170290i
\(709\) −31.1400 + 31.1400i −1.16949 + 1.16949i −0.187156 + 0.982330i \(0.559927\pi\)
−0.982330 + 0.187156i \(0.940073\pi\)
\(710\) −8.16786 + 2.18857i −0.306534 + 0.0821356i
\(711\) −4.64069 8.03790i −0.174039 0.301445i
\(712\) −10.9876 + 19.0311i −0.411778 + 0.713221i
\(713\) −5.17505 + 19.3136i −0.193807 + 0.723299i
\(714\) −6.00876 + 0.996760i −0.224872 + 0.0373028i
\(715\) −7.89153 + 7.45505i −0.295126 + 0.278803i
\(716\) −18.6624 32.3242i −0.697447 1.20801i
\(717\) 0.836974 0.836974i 0.0312574 0.0312574i
\(718\) 5.64888 0.210814
\(719\) 0.534003 0.0199150 0.00995748 0.999950i \(-0.496830\pi\)
0.00995748 + 0.999950i \(0.496830\pi\)
\(720\) −1.61612 + 1.61612i −0.0602294 + 0.0602294i
\(721\) −1.06850 + 10.9342i −0.0397930 + 0.407211i
\(722\) 28.0530 + 104.695i 1.04403 + 3.89635i
\(723\) 12.3602 + 3.31190i 0.459680 + 0.123171i
\(724\) −43.5724 + 25.1565i −1.61936 + 0.934935i
\(725\) 18.6409i 0.692306i
\(726\) −58.2498 + 15.6080i −2.16185 + 0.579266i
\(727\) 17.0326 0.631703 0.315851 0.948809i \(-0.397710\pi\)
0.315851 + 0.948809i \(0.397710\pi\)
\(728\) 45.2418 19.0082i 1.67677 0.704491i
\(729\) −1.00000 −0.0370370
\(730\) 15.2665 4.09064i 0.565038 0.151401i
\(731\) 0.164525i 0.00608518i
\(732\) −27.5658 + 15.9151i −1.01886 + 0.588240i
\(733\) −27.9251 7.48252i −1.03144 0.276373i −0.296877 0.954916i \(-0.595945\pi\)
−0.734561 + 0.678542i \(0.762612\pi\)
\(734\) −17.2307 64.3059i −0.635997 2.37357i
\(735\) −3.53216 + 0.236924i −0.130286 + 0.00873907i
\(736\) 4.94070 4.94070i 0.182116 0.182116i
\(737\) −45.4449 −1.67398
\(738\) −20.0471 −0.737942
\(739\) −10.0479 + 10.0479i −0.369617 + 0.369617i −0.867337 0.497721i \(-0.834170\pi\)
0.497721 + 0.867337i \(0.334170\pi\)
\(740\) 1.25545 + 2.17451i 0.0461513 + 0.0799364i
\(741\) −24.3553 15.0005i −0.894713 0.551058i
\(742\) 7.57072 6.22281i 0.277930 0.228446i
\(743\) 12.9109 48.1840i 0.473654 1.76770i −0.152816 0.988255i \(-0.548834\pi\)
0.626470 0.779446i \(-0.284499\pi\)
\(744\) −6.33028 + 10.9644i −0.232080 + 0.401973i
\(745\) 3.68169 + 6.37688i 0.134887 + 0.233631i
\(746\) 39.9614 10.7076i 1.46309 0.392034i
\(747\) 1.66068 1.66068i 0.0607612 0.0607612i
\(748\) −21.9252 + 5.87484i −0.801664 + 0.214805i
\(749\) 22.7190 10.3148i 0.830135 0.376893i
\(750\) −6.07823 + 10.5278i −0.221946 + 0.384421i
\(751\) −4.94920 2.85742i −0.180599 0.104269i 0.406975 0.913439i \(-0.366584\pi\)
−0.587574 + 0.809170i \(0.699917\pi\)
\(752\) −5.48647 5.48647i −0.200071 0.200071i
\(753\) −13.6386 7.87428i −0.497020 0.286955i
\(754\) −29.7563 18.3271i −1.08366 0.667433i
\(755\) 2.59082i 0.0942894i
\(756\) −1.05124 + 10.7575i −0.0382332 + 0.391248i
\(757\) −8.98844 15.5684i −0.326690 0.565844i 0.655163 0.755488i \(-0.272600\pi\)
−0.981853 + 0.189643i \(0.939267\pi\)
\(758\) 58.4353i 2.12247i
\(759\) 12.5188 + 46.7210i 0.454405 + 1.69586i
\(760\) 5.34181 19.9359i 0.193768 0.723152i
\(761\) −24.9471 24.9471i −0.904330 0.904330i 0.0914770 0.995807i \(-0.470841\pi\)
−0.995807 + 0.0914770i \(0.970841\pi\)
\(762\) −18.2526 18.2526i −0.661224 0.661224i
\(763\) 17.0490 + 6.40195i 0.617217 + 0.231766i
\(764\) −1.89182 + 1.09224i −0.0684436 + 0.0395159i
\(765\) −0.122152 0.455878i −0.00441642 0.0164823i
\(766\) −24.7706 + 42.9039i −0.894997 + 1.55018i
\(767\) 0.439269 15.4447i 0.0158611 0.557675i
\(768\) −28.1473 + 16.2508i −1.01568 + 0.586401i
\(769\) 31.5109 + 8.44333i 1.13631 + 0.304474i 0.777468 0.628923i \(-0.216504\pi\)
0.358845 + 0.933397i \(0.383171\pi\)
\(770\) −19.3864 + 3.21591i −0.698637 + 0.115893i
\(771\) −11.3412 6.54782i −0.408442 0.235814i
\(772\) −7.13404 + 26.6246i −0.256760 + 0.958241i
\(773\) 29.2744 + 7.84405i 1.05293 + 0.282131i 0.743461 0.668780i \(-0.233183\pi\)
0.309466 + 0.950911i \(0.399850\pi\)