Properties

Label 273.2.cg.a.19.8
Level $273$
Weight $2$
Character 273.19
Analytic conductor $2.180$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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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 19.8
Character \(\chi\) \(=\) 273.19
Dual form 273.2.cg.a.115.8

$q$-expansion

\(f(q)\) \(=\) \(q+(2.02536 + 0.542694i) q^{2} -1.00000i q^{3} +(2.07553 + 1.19831i) q^{4} +(1.89270 - 0.507149i) q^{5} +(0.542694 - 2.02536i) q^{6} +(-1.04247 + 2.43172i) q^{7} +(0.588043 + 0.588043i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(2.02536 + 0.542694i) q^{2} -1.00000i q^{3} +(2.07553 + 1.19831i) q^{4} +(1.89270 - 0.507149i) q^{5} +(0.542694 - 2.02536i) q^{6} +(-1.04247 + 2.43172i) q^{7} +(0.588043 + 0.588043i) q^{8} -1.00000 q^{9} +4.10864 q^{10} +(1.77246 + 1.77246i) q^{11} +(1.19831 - 2.07553i) q^{12} +(-3.33753 - 1.36415i) q^{13} +(-3.43106 + 4.35937i) q^{14} +(-0.507149 - 1.89270i) q^{15} +(-1.52474 - 2.64092i) q^{16} +(3.66044 - 6.34007i) q^{17} +(-2.02536 - 0.542694i) q^{18} +(0.681492 + 0.681492i) q^{19} +(4.53608 + 1.21544i) q^{20} +(2.43172 + 1.04247i) q^{21} +(2.62798 + 4.55179i) q^{22} +(-5.74884 + 3.31909i) q^{23} +(0.588043 - 0.588043i) q^{24} +(-1.00500 + 0.580235i) q^{25} +(-6.01939 - 4.57415i) q^{26} +1.00000i q^{27} +(-5.07762 + 3.79790i) q^{28} +(-5.21743 + 9.03685i) q^{29} -4.10864i q^{30} +(-0.782577 + 2.92062i) q^{31} +(-2.08541 - 7.78286i) q^{32} +(1.77246 - 1.77246i) q^{33} +(10.8544 - 10.8544i) q^{34} +(-0.739848 + 5.13121i) q^{35} +(-2.07553 - 1.19831i) q^{36} +(-0.356539 + 1.33062i) q^{37} +(1.01043 + 1.75011i) q^{38} +(-1.36415 + 3.33753i) q^{39} +(1.41122 + 0.814767i) q^{40} +(-0.710011 + 0.190247i) q^{41} +(4.35937 + 3.43106i) q^{42} +(10.1261 - 5.84633i) q^{43} +(1.55484 + 5.80275i) q^{44} +(-1.89270 + 0.507149i) q^{45} +(-13.4447 + 3.60251i) q^{46} +(-0.971849 - 3.62699i) q^{47} +(-2.64092 + 1.52474i) q^{48} +(-4.82651 - 5.06999i) q^{49} +(-2.35037 + 0.629781i) q^{50} +(-6.34007 - 3.66044i) q^{51} +(-5.29246 - 6.83071i) q^{52} +(-1.15862 - 2.00679i) q^{53} +(-0.542694 + 2.02536i) q^{54} +(4.25365 + 2.45585i) q^{55} +(-2.04297 + 0.816937i) q^{56} +(0.681492 - 0.681492i) q^{57} +(-15.4714 + 15.4714i) q^{58} +(1.22948 + 4.58848i) q^{59} +(1.21544 - 4.53608i) q^{60} -9.45408i q^{61} +(-3.17000 + 5.49061i) q^{62} +(1.04247 - 2.43172i) q^{63} -10.7959i q^{64} +(-7.00878 - 0.889307i) q^{65} +(4.55179 - 2.62798i) q^{66} +(4.43646 - 4.43646i) q^{67} +(15.1947 - 8.77265i) q^{68} +(3.31909 + 5.74884i) q^{69} +(-4.28314 + 9.99105i) q^{70} +(8.32895 + 2.23174i) q^{71} +(-0.588043 - 0.588043i) q^{72} +(7.50661 + 2.01139i) q^{73} +(-1.44424 + 2.50150i) q^{74} +(0.580235 + 1.00500i) q^{75} +(0.597819 + 2.23109i) q^{76} +(-6.15788 + 2.46239i) q^{77} +(-4.57415 + 6.01939i) q^{78} +(-2.31642 + 4.01217i) q^{79} +(-4.22522 - 4.22522i) q^{80} +1.00000 q^{81} -1.54128 q^{82} +(10.1090 + 10.1090i) q^{83} +(3.79790 + 5.07762i) q^{84} +(3.71277 - 13.8563i) q^{85} +(23.6819 - 6.34554i) q^{86} +(9.03685 + 5.21743i) q^{87} +2.08457i q^{88} +(-3.95954 - 1.06096i) q^{89} -4.10864 q^{90} +(6.79650 - 6.69384i) q^{91} -15.9091 q^{92} +(2.92062 + 0.782577i) q^{93} -7.87339i q^{94} +(1.63548 + 0.944245i) q^{95} +(-7.78286 + 2.08541i) q^{96} +(2.63968 - 9.85141i) q^{97} +(-7.02397 - 12.8879i) q^{98} +(-1.77246 - 1.77246i) 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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.02536 + 0.542694i 1.43215 + 0.383743i 0.889777 0.456396i \(-0.150860\pi\)
0.542371 + 0.840139i \(0.317527\pi\)
\(3\) 1.00000i 0.577350i
\(4\) 2.07553 + 1.19831i 1.03776 + 0.599153i
\(5\) 1.89270 0.507149i 0.846443 0.226804i 0.190569 0.981674i \(-0.438967\pi\)
0.655874 + 0.754870i \(0.272300\pi\)
\(6\) 0.542694 2.02536i 0.221554 0.826851i
\(7\) −1.04247 + 2.43172i −0.394017 + 0.919103i
\(8\) 0.588043 + 0.588043i 0.207905 + 0.207905i
\(9\) −1.00000 −0.333333
\(10\) 4.10864 1.29927
\(11\) 1.77246 + 1.77246i 0.534418 + 0.534418i 0.921884 0.387466i \(-0.126650\pi\)
−0.387466 + 0.921884i \(0.626650\pi\)
\(12\) 1.19831 2.07553i 0.345921 0.599153i
\(13\) −3.33753 1.36415i −0.925664 0.378347i
\(14\) −3.43106 + 4.35937i −0.916990 + 1.16509i
\(15\) −0.507149 1.89270i −0.130945 0.488694i
\(16\) −1.52474 2.64092i −0.381185 0.660231i
\(17\) 3.66044 6.34007i 0.887787 1.53769i 0.0453018 0.998973i \(-0.485575\pi\)
0.842485 0.538719i \(-0.181092\pi\)
\(18\) −2.02536 0.542694i −0.477383 0.127914i
\(19\) 0.681492 + 0.681492i 0.156345 + 0.156345i 0.780945 0.624600i \(-0.214738\pi\)
−0.624600 + 0.780945i \(0.714738\pi\)
\(20\) 4.53608 + 1.21544i 1.01430 + 0.271780i
\(21\) 2.43172 + 1.04247i 0.530644 + 0.227486i
\(22\) 2.62798 + 4.55179i 0.560287 + 0.970445i
\(23\) −5.74884 + 3.31909i −1.19872 + 0.692079i −0.960269 0.279077i \(-0.909972\pi\)
−0.238447 + 0.971156i \(0.576638\pi\)
\(24\) 0.588043 0.588043i 0.120034 0.120034i
\(25\) −1.00500 + 0.580235i −0.200999 + 0.116047i
\(26\) −6.01939 4.57415i −1.18050 0.897065i
\(27\) 1.00000i 0.192450i
\(28\) −5.07762 + 3.79790i −0.959580 + 0.717735i
\(29\) −5.21743 + 9.03685i −0.968852 + 1.67810i −0.269965 + 0.962870i \(0.587012\pi\)
−0.698888 + 0.715232i \(0.746321\pi\)
\(30\) 4.10864i 0.750132i
\(31\) −0.782577 + 2.92062i −0.140555 + 0.524558i 0.859358 + 0.511374i \(0.170863\pi\)
−0.999913 + 0.0131839i \(0.995803\pi\)
\(32\) −2.08541 7.78286i −0.368652 1.37583i
\(33\) 1.77246 1.77246i 0.308546 0.308546i
\(34\) 10.8544 10.8544i 1.86152 1.86152i
\(35\) −0.739848 + 5.13121i −0.125057 + 0.867333i
\(36\) −2.07553 1.19831i −0.345921 0.199718i
\(37\) −0.356539 + 1.33062i −0.0586147 + 0.218753i −0.989021 0.147778i \(-0.952788\pi\)
0.930406 + 0.366531i \(0.119455\pi\)
\(38\) 1.01043 + 1.75011i 0.163913 + 0.283905i
\(39\) −1.36415 + 3.33753i −0.218439 + 0.534432i
\(40\) 1.41122 + 0.814767i 0.223133 + 0.128826i
\(41\) −0.710011 + 0.190247i −0.110885 + 0.0297116i −0.313835 0.949478i \(-0.601614\pi\)
0.202950 + 0.979189i \(0.434947\pi\)
\(42\) 4.35937 + 3.43106i 0.672665 + 0.529424i
\(43\) 10.1261 5.84633i 1.54422 0.891556i 0.545656 0.838009i \(-0.316281\pi\)
0.998565 0.0535470i \(-0.0170527\pi\)
\(44\) 1.55484 + 5.80275i 0.234401 + 0.874798i
\(45\) −1.89270 + 0.507149i −0.282148 + 0.0756012i
\(46\) −13.4447 + 3.60251i −1.98232 + 0.531160i
\(47\) −0.971849 3.62699i −0.141759 0.529051i −0.999878 0.0156008i \(-0.995034\pi\)
0.858120 0.513450i \(-0.171633\pi\)
\(48\) −2.64092 + 1.52474i −0.381185 + 0.220077i
\(49\) −4.82651 5.06999i −0.689501 0.724285i
\(50\) −2.35037 + 0.629781i −0.332393 + 0.0890645i
\(51\) −6.34007 3.66044i −0.887787 0.512564i
\(52\) −5.29246 6.83071i −0.733932 0.947249i
\(53\) −1.15862 2.00679i −0.159149 0.275654i 0.775413 0.631454i \(-0.217542\pi\)
−0.934562 + 0.355800i \(0.884208\pi\)
\(54\) −0.542694 + 2.02536i −0.0738513 + 0.275617i
\(55\) 4.25365 + 2.45585i 0.573563 + 0.331147i
\(56\) −2.04297 + 0.816937i −0.273004 + 0.109168i
\(57\) 0.681492 0.681492i 0.0902658 0.0902658i
\(58\) −15.4714 + 15.4714i −2.03150 + 2.03150i
\(59\) 1.22948 + 4.58848i 0.160065 + 0.597369i 0.998618 + 0.0525503i \(0.0167350\pi\)
−0.838554 + 0.544819i \(0.816598\pi\)
\(60\) 1.21544 4.53608i 0.156912 0.585605i
\(61\) 9.45408i 1.21047i −0.796046 0.605236i \(-0.793079\pi\)
0.796046 0.605236i \(-0.206921\pi\)
\(62\) −3.17000 + 5.49061i −0.402591 + 0.697308i
\(63\) 1.04247 2.43172i 0.131339 0.306368i
\(64\) 10.7959i 1.34949i
\(65\) −7.00878 0.889307i −0.869332 0.110305i
\(66\) 4.55179 2.62798i 0.560287 0.323482i
\(67\) 4.43646 4.43646i 0.542000 0.542000i −0.382115 0.924115i \(-0.624804\pi\)
0.924115 + 0.382115i \(0.124804\pi\)
\(68\) 15.1947 8.77265i 1.84263 1.06384i
\(69\) 3.31909 + 5.74884i 0.399572 + 0.692079i
\(70\) −4.28314 + 9.99105i −0.511933 + 1.19416i
\(71\) 8.32895 + 2.23174i 0.988465 + 0.264858i 0.716606 0.697479i \(-0.245695\pi\)
0.271859 + 0.962337i \(0.412361\pi\)
\(72\) −0.588043 0.588043i −0.0693016 0.0693016i
\(73\) 7.50661 + 2.01139i 0.878583 + 0.235415i 0.669795 0.742546i \(-0.266382\pi\)
0.208787 + 0.977961i \(0.433048\pi\)
\(74\) −1.44424 + 2.50150i −0.167890 + 0.290794i
\(75\) 0.580235 + 1.00500i 0.0669998 + 0.116047i
\(76\) 0.597819 + 2.23109i 0.0685745 + 0.255923i
\(77\) −6.15788 + 2.46239i −0.701755 + 0.280615i
\(78\) −4.57415 + 6.01939i −0.517921 + 0.681562i
\(79\) −2.31642 + 4.01217i −0.260618 + 0.451404i −0.966406 0.257019i \(-0.917260\pi\)
0.705788 + 0.708423i \(0.250593\pi\)
\(80\) −4.22522 4.22522i −0.472394 0.472394i
\(81\) 1.00000 0.111111
\(82\) −1.54128 −0.170206
\(83\) 10.1090 + 10.1090i 1.10961 + 1.10961i 0.993202 + 0.116405i \(0.0371372\pi\)
0.116405 + 0.993202i \(0.462863\pi\)
\(84\) 3.79790 + 5.07762i 0.414384 + 0.554014i
\(85\) 3.71277 13.8563i 0.402707 1.50292i
\(86\) 23.6819 6.34554i 2.55368 0.684257i
\(87\) 9.03685 + 5.21743i 0.968852 + 0.559367i
\(88\) 2.08457i 0.222216i
\(89\) −3.95954 1.06096i −0.419711 0.112461i 0.0427815 0.999084i \(-0.486378\pi\)
−0.462492 + 0.886623i \(0.653045\pi\)
\(90\) −4.10864 −0.433089
\(91\) 6.79650 6.69384i 0.712467 0.701705i
\(92\) −15.9091 −1.65864
\(93\) 2.92062 + 0.782577i 0.302854 + 0.0811494i
\(94\) 7.87339i 0.812078i
\(95\) 1.63548 + 0.944245i 0.167797 + 0.0968775i
\(96\) −7.78286 + 2.08541i −0.794335 + 0.212841i
\(97\) 2.63968 9.85141i 0.268019 1.00026i −0.692358 0.721554i \(-0.743428\pi\)
0.960377 0.278705i \(-0.0899052\pi\)
\(98\) −7.02397 12.8879i −0.709528 1.30187i
\(99\) −1.77246 1.77246i −0.178139 0.178139i
\(100\) −2.78120 −0.278120
\(101\) −3.80563 −0.378675 −0.189337 0.981912i \(-0.560634\pi\)
−0.189337 + 0.981912i \(0.560634\pi\)
\(102\) −10.8544 10.8544i −1.07475 1.07475i
\(103\) 4.75097 8.22892i 0.468127 0.810819i −0.531210 0.847240i \(-0.678262\pi\)
0.999337 + 0.0364211i \(0.0115958\pi\)
\(104\) −1.16043 2.76479i −0.113790 0.271110i
\(105\) 5.13121 + 0.739848i 0.500755 + 0.0722018i
\(106\) −1.25755 4.69325i −0.122144 0.455849i
\(107\) 4.87752 + 8.44811i 0.471527 + 0.816709i 0.999469 0.0325711i \(-0.0103695\pi\)
−0.527942 + 0.849280i \(0.677036\pi\)
\(108\) −1.19831 + 2.07553i −0.115307 + 0.199718i
\(109\) −5.75506 1.54206i −0.551235 0.147703i −0.0275585 0.999620i \(-0.508773\pi\)
−0.523676 + 0.851917i \(0.675440\pi\)
\(110\) 7.28242 + 7.28242i 0.694351 + 0.694351i
\(111\) 1.33062 + 0.356539i 0.126297 + 0.0338412i
\(112\) 8.01148 0.954645i 0.757014 0.0902055i
\(113\) 5.65861 + 9.80099i 0.532317 + 0.922000i 0.999288 + 0.0377273i \(0.0120118\pi\)
−0.466971 + 0.884273i \(0.654655\pi\)
\(114\) 1.75011 1.01043i 0.163913 0.0946351i
\(115\) −9.19757 + 9.19757i −0.857678 + 0.857678i
\(116\) −21.6578 + 12.5042i −2.01088 + 1.16098i
\(117\) 3.33753 + 1.36415i 0.308555 + 0.126116i
\(118\) 9.96057i 0.916945i
\(119\) 11.6014 + 15.5105i 1.06349 + 1.42185i
\(120\) 0.814767 1.41122i 0.0743777 0.128826i
\(121\) 4.71674i 0.428795i
\(122\) 5.13068 19.1479i 0.464510 1.73357i
\(123\) 0.190247 + 0.710011i 0.0171540 + 0.0640196i
\(124\) −5.12405 + 5.12405i −0.460153 + 0.460153i
\(125\) −8.53568 + 8.53568i −0.763454 + 0.763454i
\(126\) 3.43106 4.35937i 0.305663 0.388363i
\(127\) 9.81199 + 5.66496i 0.870673 + 0.502684i 0.867572 0.497312i \(-0.165679\pi\)
0.00310144 + 0.999995i \(0.499013\pi\)
\(128\) 1.68805 6.29990i 0.149204 0.556838i
\(129\) −5.84633 10.1261i −0.514740 0.891556i
\(130\) −13.7127 5.60479i −1.20268 0.491573i
\(131\) −12.3925 7.15480i −1.08274 0.625118i −0.151102 0.988518i \(-0.548282\pi\)
−0.931633 + 0.363401i \(0.881616\pi\)
\(132\) 5.80275 1.55484i 0.505065 0.135332i
\(133\) −2.36763 + 0.946760i −0.205300 + 0.0820945i
\(134\) 11.3931 6.57780i 0.984213 0.568235i
\(135\) 0.507149 + 1.89270i 0.0436484 + 0.162898i
\(136\) 5.88073 1.57574i 0.504269 0.135118i
\(137\) 5.50160 1.47415i 0.470034 0.125945i −0.0160245 0.999872i \(-0.505101\pi\)
0.486058 + 0.873926i \(0.338434\pi\)
\(138\) 3.60251 + 13.4447i 0.306666 + 1.14449i
\(139\) −9.38055 + 5.41586i −0.795648 + 0.459368i −0.841947 0.539560i \(-0.818591\pi\)
0.0462992 + 0.998928i \(0.485257\pi\)
\(140\) −7.68433 + 9.76340i −0.649445 + 0.825158i
\(141\) −3.62699 + 0.971849i −0.305448 + 0.0818444i
\(142\) 15.6580 + 9.04015i 1.31399 + 0.758633i
\(143\) −3.49775 8.33356i −0.292496 0.696887i
\(144\) 1.52474 + 2.64092i 0.127062 + 0.220077i
\(145\) −5.29202 + 19.7501i −0.439479 + 1.64016i
\(146\) 14.1120 + 8.14759i 1.16792 + 0.674300i
\(147\) −5.06999 + 4.82651i −0.418166 + 0.398084i
\(148\) −2.33450 + 2.33450i −0.191895 + 0.191895i
\(149\) 6.30814 6.30814i 0.516783 0.516783i −0.399813 0.916597i \(-0.630925\pi\)
0.916597 + 0.399813i \(0.130925\pi\)
\(150\) 0.629781 + 2.35037i 0.0514214 + 0.191907i
\(151\) 3.32882 12.4233i 0.270896 1.01100i −0.687647 0.726046i \(-0.741356\pi\)
0.958542 0.284951i \(-0.0919772\pi\)
\(152\) 0.801493i 0.0650097i
\(153\) −3.66044 + 6.34007i −0.295929 + 0.512564i
\(154\) −13.8083 + 1.64539i −1.11270 + 0.132589i
\(155\) 5.92474i 0.475887i
\(156\) −6.83071 + 5.29246i −0.546894 + 0.423736i
\(157\) −3.95550 + 2.28371i −0.315683 + 0.182260i −0.649467 0.760390i \(-0.725008\pi\)
0.333784 + 0.942650i \(0.391675\pi\)
\(158\) −6.86898 + 6.86898i −0.546467 + 0.546467i
\(159\) −2.00679 + 1.15862i −0.159149 + 0.0918846i
\(160\) −7.89413 13.6730i −0.624086 1.08095i
\(161\) −2.07810 17.4396i −0.163777 1.37443i
\(162\) 2.02536 + 0.542694i 0.159128 + 0.0426381i
\(163\) −1.81401 1.81401i −0.142084 0.142084i 0.632487 0.774571i \(-0.282034\pi\)
−0.774571 + 0.632487i \(0.782034\pi\)
\(164\) −1.70162 0.455948i −0.132874 0.0356036i
\(165\) 2.45585 4.25365i 0.191188 0.331147i
\(166\) 14.9883 + 25.9605i 1.16332 + 2.01493i
\(167\) −1.90396 7.10569i −0.147333 0.549855i −0.999640 0.0268134i \(-0.991464\pi\)
0.852307 0.523041i \(-0.175203\pi\)
\(168\) 0.816937 + 2.04297i 0.0630281 + 0.157619i
\(169\) 9.27820 + 9.10577i 0.713708 + 0.700444i
\(170\) 15.0394 26.0491i 1.15347 1.99787i
\(171\) −0.681492 0.681492i −0.0521150 0.0521150i
\(172\) 28.0227 2.13671
\(173\) −18.3415 −1.39448 −0.697241 0.716837i \(-0.745589\pi\)
−0.697241 + 0.716837i \(0.745589\pi\)
\(174\) 15.4714 + 15.4714i 1.17289 + 1.17289i
\(175\) −0.363288 3.04875i −0.0274620 0.230464i
\(176\) 1.97840 7.38349i 0.149127 0.556551i
\(177\) 4.58848 1.22948i 0.344891 0.0924134i
\(178\) −7.44374 4.29764i −0.557932 0.322122i
\(179\) 1.90952i 0.142724i −0.997450 0.0713620i \(-0.977265\pi\)
0.997450 0.0713620i \(-0.0227345\pi\)
\(180\) −4.53608 1.21544i −0.338099 0.0905934i
\(181\) 18.9344 1.40738 0.703691 0.710506i \(-0.251534\pi\)
0.703691 + 0.710506i \(0.251534\pi\)
\(182\) 17.3981 9.86904i 1.28963 0.731542i
\(183\) −9.45408 −0.698866
\(184\) −5.33234 1.42879i −0.393105 0.105332i
\(185\) 2.69929i 0.198456i
\(186\) 5.49061 + 3.17000i 0.402591 + 0.232436i
\(187\) 17.7255 4.74955i 1.29622 0.347321i
\(188\) 2.32914 8.69248i 0.169870 0.633965i
\(189\) −2.43172 1.04247i −0.176881 0.0758286i
\(190\) 2.80000 + 2.80000i 0.203134 + 0.203134i
\(191\) 10.7890 0.780663 0.390331 0.920674i \(-0.372360\pi\)
0.390331 + 0.920674i \(0.372360\pi\)
\(192\) −10.7959 −0.779127
\(193\) 13.8977 + 13.8977i 1.00038 + 1.00038i 1.00000 0.000375974i \(0.000119676\pi\)
0.000375974 1.00000i \(0.499880\pi\)
\(194\) 10.6926 18.5201i 0.767685 1.32967i
\(195\) −0.889307 + 7.00878i −0.0636846 + 0.501909i
\(196\) −3.94214 16.3065i −0.281581 1.16475i
\(197\) −2.96842 11.0783i −0.211491 0.789295i −0.987372 0.158417i \(-0.949361\pi\)
0.775881 0.630879i \(-0.217306\pi\)
\(198\) −2.62798 4.55179i −0.186762 0.323482i
\(199\) −2.77736 + 4.81053i −0.196882 + 0.341009i −0.947516 0.319709i \(-0.896415\pi\)
0.750634 + 0.660718i \(0.229748\pi\)
\(200\) −0.932185 0.249778i −0.0659155 0.0176620i
\(201\) −4.43646 4.43646i −0.312924 0.312924i
\(202\) −7.70779 2.06530i −0.542318 0.145314i
\(203\) −16.5361 22.1080i −1.16060 1.55168i
\(204\) −8.77265 15.1947i −0.614209 1.06384i
\(205\) −1.24736 + 0.720162i −0.0871193 + 0.0502983i
\(206\) 14.0882 14.0882i 0.981573 0.981573i
\(207\) 5.74884 3.31909i 0.399572 0.230693i
\(208\) 1.48625 + 10.8941i 0.103053 + 0.755372i
\(209\) 2.41584i 0.167107i
\(210\) 9.99105 + 4.28314i 0.689448 + 0.295565i
\(211\) −8.06339 + 13.9662i −0.555106 + 0.961473i 0.442789 + 0.896626i \(0.353989\pi\)
−0.997895 + 0.0648467i \(0.979344\pi\)
\(212\) 5.55353i 0.381418i
\(213\) 2.23174 8.32895i 0.152916 0.570690i
\(214\) 5.29400 + 19.7575i 0.361890 + 1.35059i
\(215\) 16.2008 16.2008i 1.10489 1.10489i
\(216\) −0.588043 + 0.588043i −0.0400113 + 0.0400113i
\(217\) −6.28630 4.94766i −0.426742 0.335869i
\(218\) −10.8192 6.24648i −0.732770 0.423065i
\(219\) 2.01139 7.50661i 0.135917 0.507250i
\(220\) 5.88571 + 10.1944i 0.396815 + 0.687303i
\(221\) −20.8656 + 16.1668i −1.40357 + 1.08750i
\(222\) 2.50150 + 1.44424i 0.167890 + 0.0969313i
\(223\) −25.6580 + 6.87505i −1.71819 + 0.460387i −0.977408 0.211359i \(-0.932211\pi\)
−0.740781 + 0.671747i \(0.765544\pi\)
\(224\) 21.0997 + 3.04228i 1.40978 + 0.203271i
\(225\) 1.00500 0.580235i 0.0669998 0.0386824i
\(226\) 6.14179 + 22.9215i 0.408546 + 1.52471i
\(227\) 1.71699 0.460067i 0.113961 0.0305357i −0.201388 0.979512i \(-0.564545\pi\)
0.315349 + 0.948976i \(0.397878\pi\)
\(228\) 2.23109 0.597819i 0.147757 0.0395915i
\(229\) −2.32685 8.68390i −0.153762 0.573849i −0.999208 0.0397875i \(-0.987332\pi\)
0.845446 0.534061i \(-0.179335\pi\)
\(230\) −23.6199 + 13.6370i −1.55745 + 0.899194i
\(231\) 2.46239 + 6.15788i 0.162013 + 0.405159i
\(232\) −8.38214 + 2.24599i −0.550314 + 0.147456i
\(233\) −0.891738 0.514845i −0.0584197 0.0337286i 0.470506 0.882397i \(-0.344072\pi\)
−0.528925 + 0.848668i \(0.677405\pi\)
\(234\) 6.01939 + 4.57415i 0.393500 + 0.299022i
\(235\) −3.67884 6.37195i −0.239981 0.415660i
\(236\) −2.94659 + 10.9968i −0.191806 + 0.715831i
\(237\) 4.01217 + 2.31642i 0.260618 + 0.150468i
\(238\) 15.0795 + 37.7104i 0.977458 + 2.44440i
\(239\) −13.2347 + 13.2347i −0.856079 + 0.856079i −0.990874 0.134795i \(-0.956962\pi\)
0.134795 + 0.990874i \(0.456962\pi\)
\(240\) −4.22522 + 4.22522i −0.272737 + 0.272737i
\(241\) −0.760109 2.83676i −0.0489629 0.182732i 0.937114 0.349025i \(-0.113487\pi\)
−0.986076 + 0.166293i \(0.946820\pi\)
\(242\) 2.55975 9.55311i 0.164547 0.614097i
\(243\) 1.00000i 0.0641500i
\(244\) 11.3289 19.6222i 0.725257 1.25618i
\(245\) −11.7064 7.14824i −0.747894 0.456685i
\(246\) 1.54128i 0.0982682i
\(247\) −1.34484 3.20415i −0.0855703 0.203875i
\(248\) −2.17764 + 1.25726i −0.138280 + 0.0798361i
\(249\) 10.1090 10.1090i 0.640632 0.640632i
\(250\) −21.9201 + 12.6556i −1.38635 + 0.800409i
\(251\) −0.244838 0.424072i −0.0154540 0.0267672i 0.858195 0.513324i \(-0.171586\pi\)
−0.873649 + 0.486557i \(0.838253\pi\)
\(252\) 5.07762 3.79790i 0.319860 0.239245i
\(253\) −16.0726 4.30664i −1.01047 0.270756i
\(254\) 16.7985 + 16.7985i 1.05403 + 1.05403i
\(255\) −13.8563 3.71277i −0.867713 0.232503i
\(256\) −3.95806 + 6.85557i −0.247379 + 0.428473i
\(257\) 9.35585 + 16.2048i 0.583602 + 1.01083i 0.995048 + 0.0993941i \(0.0316904\pi\)
−0.411446 + 0.911434i \(0.634976\pi\)
\(258\) −6.34554 23.6819i −0.395056 1.47437i
\(259\) −2.86402 2.25414i −0.177961 0.140065i
\(260\) −13.4812 10.2444i −0.836072 0.635333i
\(261\) 5.21743 9.03685i 0.322951 0.559367i
\(262\) −21.2164 21.2164i −1.31075 1.31075i
\(263\) −3.44239 −0.212267 −0.106133 0.994352i \(-0.533847\pi\)
−0.106133 + 0.994352i \(0.533847\pi\)
\(264\) 2.08457 0.128297
\(265\) −3.21067 3.21067i −0.197230 0.197230i
\(266\) −5.30911 + 0.632632i −0.325523 + 0.0387892i
\(267\) −1.06096 + 3.95954i −0.0649295 + 0.242320i
\(268\) 14.5242 3.89176i 0.887208 0.237727i
\(269\) −7.83469 4.52336i −0.477689 0.275794i 0.241764 0.970335i \(-0.422274\pi\)
−0.719453 + 0.694541i \(0.755607\pi\)
\(270\) 4.10864i 0.250044i
\(271\) −7.55815 2.02520i −0.459125 0.123022i 0.0218411 0.999761i \(-0.493047\pi\)
−0.480966 + 0.876739i \(0.659714\pi\)
\(272\) −22.3249 −1.35364
\(273\) −6.69384 6.79650i −0.405130 0.411343i
\(274\) 11.9428 0.721488
\(275\) −2.80977 0.752875i −0.169435 0.0454001i
\(276\) 15.9091i 0.957618i
\(277\) 1.34157 + 0.774557i 0.0806072 + 0.0465386i 0.539762 0.841818i \(-0.318514\pi\)
−0.459155 + 0.888356i \(0.651848\pi\)
\(278\) −21.9382 + 5.87832i −1.31576 + 0.352558i
\(279\) 0.782577 2.92062i 0.0468516 0.174853i
\(280\) −3.45244 + 2.58231i −0.206323 + 0.154323i
\(281\) 4.20181 + 4.20181i 0.250659 + 0.250659i 0.821241 0.570582i \(-0.193282\pi\)
−0.570582 + 0.821241i \(0.693282\pi\)
\(282\) −7.87339 −0.468853
\(283\) −4.65614 −0.276779 −0.138389 0.990378i \(-0.544193\pi\)
−0.138389 + 0.990378i \(0.544193\pi\)
\(284\) 14.6127 + 14.6127i 0.867102 + 0.867102i
\(285\) 0.944245 1.63548i 0.0559322 0.0968775i
\(286\) −2.56163 18.7767i −0.151473 1.11029i
\(287\) 0.277540 1.92487i 0.0163826 0.113622i
\(288\) 2.08541 + 7.78286i 0.122884 + 0.458609i
\(289\) −18.2976 31.6925i −1.07633 1.86426i
\(290\) −21.4365 + 37.1292i −1.25880 + 2.18030i
\(291\) −9.85141 2.63968i −0.577500 0.154741i
\(292\) 13.1699 + 13.1699i 0.770711 + 0.770711i
\(293\) −10.8009 2.89410i −0.630997 0.169075i −0.0708751 0.997485i \(-0.522579\pi\)
−0.560122 + 0.828410i \(0.689246\pi\)
\(294\) −12.8879 + 7.02397i −0.751637 + 0.409646i
\(295\) 4.65408 + 8.06111i 0.270971 + 0.469336i
\(296\) −0.992125 + 0.572804i −0.0576661 + 0.0332935i
\(297\) −1.77246 + 1.77246i −0.102849 + 0.102849i
\(298\) 16.1997 9.35289i 0.938422 0.541798i
\(299\) 23.7146 3.23530i 1.37145 0.187102i
\(300\) 2.78120i 0.160573i
\(301\) 3.66041 + 30.7185i 0.210983 + 1.77059i
\(302\) 13.4841 23.3552i 0.775925 1.34394i
\(303\) 3.80563i 0.218628i
\(304\) 0.760671 2.83886i 0.0436275 0.162820i
\(305\) −4.79463 17.8938i −0.274539 1.02460i
\(306\) −10.8544 + 10.8544i −0.620507 + 0.620507i
\(307\) −2.63969 + 2.63969i −0.150655 + 0.150655i −0.778411 0.627756i \(-0.783974\pi\)
0.627756 + 0.778411i \(0.283974\pi\)
\(308\) −15.7315 2.26826i −0.896387 0.129246i
\(309\) −8.22892 4.75097i −0.468127 0.270273i
\(310\) −3.21533 + 11.9998i −0.182618 + 0.681540i
\(311\) 16.2833 + 28.2035i 0.923341 + 1.59927i 0.794208 + 0.607646i \(0.207886\pi\)
0.129133 + 0.991627i \(0.458780\pi\)
\(312\) −2.76479 + 1.16043i −0.156525 + 0.0656966i
\(313\) −12.7123 7.33945i −0.718541 0.414850i 0.0956743 0.995413i \(-0.469499\pi\)
−0.814216 + 0.580563i \(0.802833\pi\)
\(314\) −9.25067 + 2.47871i −0.522046 + 0.139882i
\(315\) 0.739848 5.13121i 0.0416857 0.289111i
\(316\) −9.61560 + 5.55157i −0.540920 + 0.312300i
\(317\) −2.65822 9.92063i −0.149301 0.557198i −0.999526 0.0307793i \(-0.990201\pi\)
0.850225 0.526419i \(-0.176466\pi\)
\(318\) −4.69325 + 1.25755i −0.263185 + 0.0705201i
\(319\) −25.2652 + 6.76979i −1.41458 + 0.379036i
\(320\) −5.47513 20.4335i −0.306069 1.14226i
\(321\) 8.44811 4.87752i 0.471527 0.272236i
\(322\) 5.25547 36.4493i 0.292876 2.03124i
\(323\) 6.81526 1.82614i 0.379211 0.101609i
\(324\) 2.07553 + 1.19831i 0.115307 + 0.0665725i
\(325\) 4.14573 0.565587i 0.229964 0.0313731i
\(326\) −2.68957 4.65848i −0.148962 0.258009i
\(327\) −1.54206 + 5.75506i −0.0852763 + 0.318256i
\(328\) −0.529391 0.305644i −0.0292307 0.0168764i
\(329\) 9.83294 + 1.41777i 0.542108 + 0.0781642i
\(330\) 7.28242 7.28242i 0.400884 0.400884i
\(331\) −17.8973 + 17.8973i −0.983723 + 0.983723i −0.999870 0.0161469i \(-0.994860\pi\)
0.0161469 + 0.999870i \(0.494860\pi\)
\(332\) 8.86783 + 33.0952i 0.486685 + 1.81633i
\(333\) 0.356539 1.33062i 0.0195382 0.0729177i
\(334\) 15.4249i 0.844011i
\(335\) 6.14696 10.6469i 0.335845 0.581700i
\(336\) −0.954645 8.01148i −0.0520802 0.437062i
\(337\) 0.741618i 0.0403985i −0.999796 0.0201993i \(-0.993570\pi\)
0.999796 0.0201993i \(-0.00643006\pi\)
\(338\) 13.8501 + 23.4777i 0.753344 + 1.27702i
\(339\) 9.80099 5.65861i 0.532317 0.307333i
\(340\) 24.3100 24.3100i 1.31839 1.31839i
\(341\) −6.56378 + 3.78960i −0.355448 + 0.205218i
\(342\) −1.01043 1.75011i −0.0546376 0.0946351i
\(343\) 17.3603 6.45138i 0.937368 0.348342i
\(344\) 9.39250 + 2.51671i 0.506410 + 0.135692i
\(345\) 9.19757 + 9.19757i 0.495181 + 0.495181i
\(346\) −37.1483 9.95385i −1.99710 0.535122i
\(347\) −17.0886 + 29.5983i −0.917364 + 1.58892i −0.113962 + 0.993485i \(0.536354\pi\)
−0.803402 + 0.595437i \(0.796979\pi\)
\(348\) 12.5042 + 21.6578i 0.670293 + 1.16098i
\(349\) −7.26033 27.0959i −0.388636 1.45041i −0.832354 0.554244i \(-0.813007\pi\)
0.443718 0.896167i \(-0.353659\pi\)
\(350\) 0.918749 6.37198i 0.0491092 0.340596i
\(351\) 1.36415 3.33753i 0.0728129 0.178144i
\(352\) 10.0985 17.4912i 0.538253 0.932282i
\(353\) 6.82751 + 6.82751i 0.363391 + 0.363391i 0.865060 0.501668i \(-0.167280\pi\)
−0.501668 + 0.865060i \(0.667280\pi\)
\(354\) 9.96057 0.529398
\(355\) 16.8961 0.896750
\(356\) −6.94679 6.94679i −0.368179 0.368179i
\(357\) 15.5105 11.6014i 0.820903 0.614009i
\(358\) 1.03628 3.86746i 0.0547693 0.204402i
\(359\) −33.0271 + 8.84959i −1.74311 + 0.467064i −0.983133 0.182891i \(-0.941454\pi\)
−0.759973 + 0.649955i \(0.774788\pi\)
\(360\) −1.41122 0.814767i −0.0743777 0.0429420i
\(361\) 18.0711i 0.951113i
\(362\) 38.3490 + 10.2756i 2.01558 + 0.540073i
\(363\) −4.71674 −0.247565
\(364\) 22.1276 5.74896i 1.15980 0.301327i
\(365\) 15.2279 0.797063
\(366\) −19.1479 5.13068i −1.00088 0.268185i
\(367\) 26.7853i 1.39818i 0.715033 + 0.699090i \(0.246412\pi\)
−0.715033 + 0.699090i \(0.753588\pi\)
\(368\) 17.5309 + 10.1215i 0.913863 + 0.527619i
\(369\) 0.710011 0.190247i 0.0369617 0.00990386i
\(370\) −1.46489 + 5.46705i −0.0761561 + 0.284218i
\(371\) 6.08777 0.725417i 0.316062 0.0376618i
\(372\) 5.12405 + 5.12405i 0.265670 + 0.265670i
\(373\) 3.66467 0.189749 0.0948747 0.995489i \(-0.469755\pi\)
0.0948747 + 0.995489i \(0.469755\pi\)
\(374\) 38.4782 1.98966
\(375\) 8.53568 + 8.53568i 0.440780 + 0.440780i
\(376\) 1.56134 2.70432i 0.0805198 0.139464i
\(377\) 29.7409 23.0434i 1.53174 1.18680i
\(378\) −4.35937 3.43106i −0.224222 0.176475i
\(379\) −6.16351 23.0025i −0.316598 1.18156i −0.922492 0.386016i \(-0.873851\pi\)
0.605894 0.795545i \(-0.292816\pi\)
\(380\) 2.26299 + 3.91961i 0.116089 + 0.201072i
\(381\) 5.66496 9.81199i 0.290224 0.502684i
\(382\) 21.8516 + 5.85511i 1.11802 + 0.299574i
\(383\) −21.6378 21.6378i −1.10564 1.10564i −0.993717 0.111923i \(-0.964299\pi\)
−0.111923 0.993717i \(-0.535701\pi\)
\(384\) −6.29990 1.68805i −0.321490 0.0861431i
\(385\) −10.4062 + 7.78354i −0.530351 + 0.396686i
\(386\) 20.6056 + 35.6900i 1.04880 + 1.81657i
\(387\) −10.1261 + 5.84633i −0.514740 + 0.297185i
\(388\) 17.2837 17.2837i 0.877448 0.877448i
\(389\) 1.02102 0.589484i 0.0517676 0.0298880i −0.473893 0.880583i \(-0.657152\pi\)
0.525660 + 0.850694i \(0.323818\pi\)
\(390\) −5.60479 + 13.7127i −0.283810 + 0.694370i
\(391\) 48.5974i 2.45767i
\(392\) 0.143181 5.81957i 0.00723174 0.293933i
\(393\) −7.15480 + 12.3925i −0.360912 + 0.625118i
\(394\) 24.0485i 1.21155i
\(395\) −2.34954 + 8.76861i −0.118218 + 0.441197i
\(396\) −1.55484 5.80275i −0.0781338 0.291599i
\(397\) 8.59230 8.59230i 0.431235 0.431235i −0.457813 0.889048i \(-0.651367\pi\)
0.889048 + 0.457813i \(0.151367\pi\)
\(398\) −8.23581 + 8.23581i −0.412824 + 0.412824i
\(399\) 0.946760 + 2.36763i 0.0473973 + 0.118530i
\(400\) 3.06471 + 1.76941i 0.153236 + 0.0884707i
\(401\) −0.558206 + 2.08325i −0.0278755 + 0.104033i −0.978462 0.206427i \(-0.933816\pi\)
0.950586 + 0.310460i \(0.100483\pi\)
\(402\) −6.57780 11.3931i −0.328071 0.568235i
\(403\) 6.59603 8.68009i 0.328571 0.432386i
\(404\) −7.89869 4.56031i −0.392975 0.226884i
\(405\) 1.89270 0.507149i 0.0940492 0.0252004i
\(406\) −21.4936 53.7507i −1.06671 2.66760i
\(407\) −2.99044 + 1.72653i −0.148230 + 0.0855809i
\(408\) −1.57574 5.88073i −0.0780106 0.291140i
\(409\) −4.63911 + 1.24305i −0.229389 + 0.0614647i −0.371683 0.928360i \(-0.621219\pi\)
0.142293 + 0.989825i \(0.454552\pi\)
\(410\) −2.91718 + 0.781656i −0.144069 + 0.0386032i
\(411\) −1.47415 5.50160i −0.0727145 0.271374i
\(412\) 19.7215 11.3862i 0.971609 0.560959i
\(413\) −12.4396 1.79361i −0.612112 0.0882579i
\(414\) 13.4447 3.60251i 0.660773 0.177053i
\(415\) 24.2601 + 14.0066i 1.19088 + 0.687556i
\(416\) −3.65686 + 28.8203i −0.179292 + 1.41303i
\(417\) 5.41586 + 9.38055i 0.265216 + 0.459368i
\(418\) −1.31106 + 4.89295i −0.0641262 + 0.239322i
\(419\) 18.2738 + 10.5504i 0.892733 + 0.515420i 0.874836 0.484420i \(-0.160969\pi\)
0.0178978 + 0.999840i \(0.494303\pi\)
\(420\) 9.76340 + 7.68433i 0.476405 + 0.374957i
\(421\) 24.4128 24.4128i 1.18981 1.18981i 0.212688 0.977120i \(-0.431778\pi\)
0.977120 0.212688i \(-0.0682218\pi\)
\(422\) −23.9107 + 23.9107i −1.16395 + 1.16395i
\(423\) 0.971849 + 3.62699i 0.0472529 + 0.176350i
\(424\) 0.498760 1.86140i 0.0242219 0.0903975i
\(425\) 8.49567i 0.412100i
\(426\) 9.04015 15.6580i 0.437997 0.758633i
\(427\) 22.9897 + 9.85561i 1.11255 + 0.476947i
\(428\) 23.3790i 1.13007i
\(429\) −8.33356 + 3.49775i −0.402348 + 0.168873i
\(430\) 41.6046 24.0204i 2.00635 1.15837i
\(431\) 5.82798 5.82798i 0.280724 0.280724i −0.552674 0.833398i \(-0.686392\pi\)
0.833398 + 0.552674i \(0.186392\pi\)
\(432\) 2.64092 1.52474i 0.127062 0.0733590i
\(433\) 13.2942 + 23.0262i 0.638878 + 1.10657i 0.985679 + 0.168631i \(0.0539346\pi\)
−0.346801 + 0.937939i \(0.612732\pi\)
\(434\) −10.0470 13.4324i −0.482270 0.644774i
\(435\) 19.7501 + 5.29202i 0.946945 + 0.253733i
\(436\) −10.0969 10.0969i −0.483555 0.483555i
\(437\) −6.17972 1.65585i −0.295616 0.0792101i
\(438\) 8.14759 14.1120i 0.389307 0.674300i
\(439\) −8.93996 15.4845i −0.426681 0.739033i 0.569895 0.821718i \(-0.306984\pi\)
−0.996576 + 0.0826847i \(0.973651\pi\)
\(440\) 1.05719 + 3.94548i 0.0503994 + 0.188093i
\(441\) 4.82651 + 5.06999i 0.229834 + 0.241428i
\(442\) −51.0341 + 21.4199i −2.42744 + 1.01884i
\(443\) 10.8928 18.8669i 0.517532 0.896392i −0.482261 0.876028i \(-0.660184\pi\)
0.999793 0.0203640i \(-0.00648252\pi\)
\(444\) 2.33450 + 2.33450i 0.110790 + 0.110790i
\(445\) −8.03231 −0.380768
\(446\) −55.6979 −2.63737
\(447\) −6.30814 6.30814i −0.298365 0.298365i
\(448\) 26.2526 + 11.2544i 1.24032 + 0.531721i
\(449\) −0.850694 + 3.17483i −0.0401467 + 0.149830i −0.983090 0.183125i \(-0.941379\pi\)
0.942943 + 0.332954i \(0.108045\pi\)
\(450\) 2.35037 0.629781i 0.110798 0.0296882i
\(451\) −1.59568 0.921264i −0.0751374 0.0433806i
\(452\) 27.1230i 1.27576i
\(453\) −12.4233 3.32882i −0.583699 0.156402i
\(454\) 3.72721 0.174927
\(455\) 9.46900 16.1163i 0.443913 0.755544i
\(456\) 0.801493 0.0375334
\(457\) −34.9035 9.35236i −1.63272 0.437485i −0.678014 0.735049i \(-0.737159\pi\)
−0.954702 + 0.297564i \(0.903826\pi\)
\(458\) 18.8508i 0.880841i
\(459\) 6.34007 + 3.66044i 0.295929 + 0.170855i
\(460\) −30.1113 + 8.06830i −1.40395 + 0.376187i
\(461\) −3.32485 + 12.4085i −0.154854 + 0.577922i 0.844264 + 0.535927i \(0.180038\pi\)
−0.999118 + 0.0419948i \(0.986629\pi\)
\(462\) 1.64539 + 13.8083i 0.0765504 + 0.642418i
\(463\) 22.2200 + 22.2200i 1.03265 + 1.03265i 0.999449 + 0.0332014i \(0.0105703\pi\)
0.0332014 + 0.999449i \(0.489430\pi\)
\(464\) 31.8209 1.47725
\(465\) 5.92474 0.274753
\(466\) −1.52669 1.52669i −0.0707225 0.0707225i
\(467\) 17.1486 29.7023i 0.793543 1.37446i −0.130217 0.991486i \(-0.541567\pi\)
0.923760 0.382972i \(-0.125099\pi\)
\(468\) 5.29246 + 6.83071i 0.244644 + 0.315750i
\(469\) 6.16334 + 15.4131i 0.284597 + 0.711711i
\(470\) −3.99298 14.9020i −0.184182 0.687378i
\(471\) 2.28371 + 3.95550i 0.105228 + 0.182260i
\(472\) −1.97524 + 3.42121i −0.0909177 + 0.157474i
\(473\) 28.3106 + 7.58581i 1.30172 + 0.348796i
\(474\) 6.86898 + 6.86898i 0.315503 + 0.315503i
\(475\) −1.08032 0.289472i −0.0495686 0.0132819i
\(476\) 5.49260 + 46.0944i 0.251753 + 2.11273i
\(477\) 1.15862 + 2.00679i 0.0530496 + 0.0918846i
\(478\) −33.9873 + 19.6226i −1.55455 + 0.897517i
\(479\) 1.69038 1.69038i 0.0772354 0.0772354i −0.667434 0.744669i \(-0.732607\pi\)
0.744669 + 0.667434i \(0.232607\pi\)
\(480\) −13.6730 + 7.89413i −0.624086 + 0.360316i
\(481\) 3.00513 3.95462i 0.137022 0.180315i
\(482\) 6.15798i 0.280489i
\(483\) −17.4396 + 2.07810i −0.793530 + 0.0945568i
\(484\) 5.65210 9.78972i 0.256913 0.444987i
\(485\) 19.9845i 0.907450i
\(486\) 0.542694 2.02536i 0.0246171 0.0918723i
\(487\) −2.17213 8.10651i −0.0984288 0.367341i 0.899088 0.437768i \(-0.144231\pi\)
−0.997517 + 0.0704263i \(0.977564\pi\)
\(488\) 5.55941 5.55941i 0.251663 0.251663i
\(489\) −1.81401 + 1.81401i −0.0820323 + 0.0820323i
\(490\) −19.8304 20.8308i −0.895845 0.941039i
\(491\) −5.46870 3.15735i −0.246799 0.142489i 0.371499 0.928433i \(-0.378844\pi\)
−0.618298 + 0.785944i \(0.712177\pi\)
\(492\) −0.455948 + 1.70162i −0.0205557 + 0.0767150i
\(493\) 38.1962 + 66.1577i 1.72027 + 2.97959i
\(494\) −0.984917 7.21941i −0.0443135 0.324817i
\(495\) −4.25365 2.45585i −0.191188 0.110382i
\(496\) 8.90635 2.38645i 0.399907 0.107155i
\(497\) −14.1096 + 17.9271i −0.632904 + 0.804142i
\(498\) 25.9605 14.9883i 1.16332 0.671642i
\(499\) −9.09774 33.9532i −0.407271 1.51996i −0.799829 0.600228i \(-0.795077\pi\)
0.392558 0.919727i \(-0.371590\pi\)
\(500\) −27.9444 + 7.48767i −1.24971 + 0.334859i
\(501\) −7.10569 + 1.90396i −0.317459 + 0.0850628i
\(502\) −0.265744 0.991772i −0.0118608 0.0442649i
\(503\) 8.32980 4.80921i 0.371408 0.214432i −0.302666 0.953097i \(-0.597877\pi\)
0.674073 + 0.738665i \(0.264543\pi\)
\(504\) 2.04297 0.816937i 0.0910013 0.0363893i
\(505\) −7.20294 + 1.93002i −0.320527 + 0.0858849i
\(506\) −30.2156 17.4450i −1.34325 0.775525i
\(507\) 9.10577 9.27820i 0.404401 0.412059i
\(508\) 13.5767 + 23.5155i 0.602369 + 1.04333i
\(509\) 3.33616 12.4507i 0.147873 0.551868i −0.851738 0.523968i \(-0.824451\pi\)
0.999611 0.0279003i \(-0.00888209\pi\)
\(510\) −26.0491 15.0394i −1.15347 0.665957i
\(511\) −12.7166 + 16.1571i −0.562548 + 0.714750i
\(512\) −20.9607 + 20.9607i −0.926340 + 0.926340i
\(513\) −0.681492 + 0.681492i −0.0300886 + 0.0300886i
\(514\) 10.1547 + 37.8980i 0.447906 + 1.67161i
\(515\) 4.81889 17.9844i 0.212346 0.792485i
\(516\) 28.0227i 1.23363i
\(517\) 4.70614 8.15128i 0.206976 0.358493i
\(518\) −4.57737 6.11974i −0.201118 0.268886i
\(519\) 18.3415i 0.805104i
\(520\) −3.59852 4.64442i −0.157805 0.203671i
\(521\) −9.09809 + 5.25278i −0.398594 + 0.230129i −0.685877 0.727717i \(-0.740581\pi\)
0.287283 + 0.957846i \(0.407248\pi\)
\(522\) 15.4714 15.4714i 0.677166 0.677166i
\(523\) −0.494684 + 0.285606i −0.0216310 + 0.0124887i −0.510777 0.859714i \(-0.670642\pi\)
0.489146 + 0.872202i \(0.337309\pi\)
\(524\) −17.1473 29.6999i −0.749082 1.29745i
\(525\) −3.04875 + 0.363288i −0.133058 + 0.0158552i
\(526\) −6.97208 1.86816i −0.303997 0.0814558i
\(527\) 15.6523 + 15.6523i 0.681826 + 0.681826i
\(528\) −7.38349 1.97840i −0.321325 0.0860988i
\(529\) 10.5327 18.2433i 0.457946 0.793185i
\(530\) −4.76035 8.24517i −0.206777 0.358147i
\(531\) −1.22948 4.58848i −0.0533549 0.199123i
\(532\) −6.04859 0.872121i −0.262240 0.0378112i
\(533\) 2.62921 + 0.333606i 0.113884 + 0.0144501i
\(534\) −4.29764 + 7.44374i −0.185977 + 0.322122i
\(535\) 13.5161 + 13.5161i 0.584354 + 0.584354i
\(536\) 5.21766 0.225369
\(537\) −1.90952 −0.0824017
\(538\) −13.4133 13.4133i −0.578288 0.578288i
\(539\) 0.431573 17.5412i 0.0185892 0.755553i
\(540\) −1.21544 + 4.53608i −0.0523041 + 0.195202i
\(541\) 11.9041 3.18970i 0.511798 0.137136i 0.00632795 0.999980i \(-0.497986\pi\)
0.505470 + 0.862844i \(0.331319\pi\)
\(542\) −14.2089 8.20352i −0.610325 0.352372i
\(543\) 18.9344i 0.812552i
\(544\) −56.9774 15.2670i −2.44289 0.654569i
\(545\) −11.6747 −0.500089
\(546\) −9.86904 17.3981i −0.422356 0.744570i
\(547\) −16.2110 −0.693132 −0.346566 0.938026i \(-0.612652\pi\)
−0.346566 + 0.938026i \(0.612652\pi\)
\(548\) 13.1852 + 3.53296i 0.563244 + 0.150921i
\(549\) 9.45408i 0.403490i
\(550\) −5.28222 3.04969i −0.225235 0.130039i
\(551\) −9.71418 + 2.60291i −0.413838 + 0.110887i
\(552\) −1.42879 + 5.33234i −0.0608135 + 0.226959i
\(553\) −7.34165 9.81546i −0.312199 0.417396i
\(554\) 2.29682 + 2.29682i 0.0975826 + 0.0975826i
\(555\) 2.69929 0.114579
\(556\) −25.9594 −1.10093
\(557\) 23.6805 + 23.6805i 1.00337 + 1.00337i 0.999994 + 0.00338004i \(0.00107590\pi\)
0.00338004 + 0.999994i \(0.498924\pi\)
\(558\) 3.17000 5.49061i 0.134197 0.232436i
\(559\) −41.7715 + 5.69873i −1.76675 + 0.241031i
\(560\) 14.6792 5.86987i 0.620310 0.248047i
\(561\) −4.74955 17.7255i −0.200526 0.748373i
\(562\) 6.22989 + 10.7905i 0.262792 + 0.455170i
\(563\) −0.0785071 + 0.135978i −0.00330868 + 0.00573080i −0.867675 0.497132i \(-0.834387\pi\)
0.864366 + 0.502863i \(0.167720\pi\)
\(564\) −8.69248 2.32914i −0.366020 0.0980747i
\(565\) 15.6806 + 15.6806i 0.659689 + 0.659689i
\(566\) −9.43036 2.52686i −0.396388 0.106212i
\(567\) −1.04247 + 2.43172i −0.0437797 + 0.102123i
\(568\) 3.58543 + 6.21014i 0.150441 + 0.260572i
\(569\) −36.5944 + 21.1278i −1.53412 + 0.885724i −0.534953 + 0.844882i \(0.679671\pi\)
−0.999166 + 0.0408418i \(0.986996\pi\)
\(570\) 2.80000 2.80000i 0.117279 0.117279i
\(571\) −28.4747 + 16.4399i −1.19163 + 0.687987i −0.958676 0.284502i \(-0.908172\pi\)
−0.232952 + 0.972488i \(0.574839\pi\)
\(572\) 2.72648 21.4879i 0.114000 0.898454i
\(573\) 10.7890i 0.450716i
\(574\) 1.60674 3.74795i 0.0670639 0.156436i
\(575\) 3.85171 6.67136i 0.160627 0.278215i
\(576\) 10.7959i 0.449829i
\(577\) 11.1497 41.6112i 0.464167 1.73230i −0.195467 0.980710i \(-0.562622\pi\)
0.659635 0.751586i \(-0.270711\pi\)
\(578\) −19.8601 74.1187i −0.826070 3.08293i
\(579\) 13.8977 13.8977i 0.577567 0.577567i
\(580\) −34.6504 + 34.6504i −1.43878 + 1.43878i
\(581\) −35.1206 + 14.0439i −1.45705 + 0.582639i
\(582\) −18.5201 10.6926i −0.767685 0.443223i
\(583\) 1.50335 5.61058i 0.0622624 0.232366i
\(584\) 3.23143 + 5.59700i 0.133717 + 0.231605i
\(585\) 7.00878 + 0.889307i 0.289777 + 0.0367683i
\(586\) −20.3052 11.7232i −0.838800 0.484281i
\(587\) 15.3441 4.11144i 0.633318 0.169697i 0.0721432 0.997394i \(-0.477016\pi\)
0.561175 + 0.827697i \(0.310349\pi\)
\(588\) −16.3065 + 3.94214i −0.672470 + 0.162571i
\(589\) −2.52369 + 1.45706i −0.103987 + 0.0600369i
\(590\) 5.05149 + 18.8524i 0.207967 + 0.776142i
\(591\) −11.0783 + 2.96842i −0.455700 + 0.122104i
\(592\) 4.05770 1.08726i 0.166771 0.0446861i
\(593\) 5.02665 + 18.7597i 0.206420 + 0.770369i 0.989012 + 0.147834i \(0.0472302\pi\)
−0.782592 + 0.622534i \(0.786103\pi\)
\(594\) −4.55179 + 2.62798i −0.186762 + 0.107827i
\(595\) 29.8241 + 23.4732i 1.22267 + 0.962307i
\(596\) 20.6518 5.53363i 0.845931 0.226666i
\(597\) 4.81053 + 2.77736i 0.196882 + 0.113670i
\(598\) 49.7865 + 6.31715i 2.03592 + 0.258327i
\(599\) 22.3885 + 38.7780i 0.914770 + 1.58443i 0.807238 + 0.590226i \(0.200961\pi\)
0.107531 + 0.994202i \(0.465705\pi\)
\(600\) −0.249778 + 0.932185i −0.0101972 + 0.0380563i
\(601\) 33.7722 + 19.4984i 1.37760 + 0.795355i 0.991870 0.127258i \(-0.0406176\pi\)
0.385726 + 0.922613i \(0.373951\pi\)
\(602\) −9.25711 + 64.2027i −0.377292 + 2.61671i
\(603\) −4.43646 + 4.43646i −0.180667 + 0.180667i
\(604\) 21.7960 21.7960i 0.886867 0.886867i
\(605\) −2.39209 8.92739i −0.0972522 0.362950i
\(606\) −2.06530 + 7.70779i −0.0838969 + 0.313108i
\(607\) 31.9789i 1.29798i 0.760795 + 0.648992i \(0.224809\pi\)
−0.760795 + 0.648992i \(0.775191\pi\)
\(608\) 3.88276 6.72514i 0.157467 0.272741i
\(609\) −22.1080 + 16.5361i −0.895861 + 0.670075i
\(610\) 38.8434i 1.57272i
\(611\) −1.70418 + 13.4309i −0.0689437 + 0.543357i
\(612\) −15.1947 + 8.77265i −0.614209 + 0.354613i
\(613\) 15.6835 15.6835i 0.633452 0.633452i −0.315480 0.948932i \(-0.602166\pi\)
0.948932 + 0.315480i \(0.102166\pi\)
\(614\) −6.77887 + 3.91378i −0.273573 + 0.157947i
\(615\) 0.720162 + 1.24736i 0.0290398 + 0.0502983i
\(616\) −5.06909 2.17311i −0.204239 0.0875570i
\(617\) 19.7363 + 5.28833i 0.794554 + 0.212900i 0.633192 0.773995i \(-0.281744\pi\)
0.161363 + 0.986895i \(0.448411\pi\)
\(618\) −14.0882 14.0882i −0.566711 0.566711i
\(619\) −27.8712 7.46806i −1.12024 0.300167i −0.349258 0.937027i \(-0.613566\pi\)
−0.770980 + 0.636860i \(0.780233\pi\)
\(620\) −7.09966 + 12.2970i −0.285129 + 0.493858i
\(621\) −3.31909 5.74884i −0.133191 0.230693i
\(622\) 17.6737 + 65.9592i 0.708651 + 2.64472i
\(623\) 6.70766 8.52248i 0.268737 0.341446i
\(624\) 10.8941 1.48625i 0.436114 0.0594974i
\(625\) −8.92548 + 15.4594i −0.357019 + 0.618375i
\(626\) −21.7639 21.7639i −0.869862 0.869862i
\(627\) 2.41584 0.0964793
\(628\) −10.9463 −0.436806
\(629\) 7.13115 + 7.13115i 0.284338 + 0.284338i
\(630\) 4.28314 9.99105i 0.170644 0.398053i
\(631\) −0.897330 + 3.34888i −0.0357221 + 0.133317i −0.981484 0.191544i \(-0.938651\pi\)
0.945762 + 0.324860i \(0.105317\pi\)
\(632\) −3.72148 + 0.997169i −0.148033 + 0.0396652i
\(633\) 13.9662 + 8.06339i 0.555106 + 0.320491i
\(634\) 21.5355i 0.855283i
\(635\) 21.4442 + 5.74595i 0.850986 + 0.228021i
\(636\) −5.55353 −0.220212
\(637\) 9.19238 + 23.5053i 0.364215 + 0.931315i
\(638\) −54.8451 −2.17134
\(639\) −8.32895 2.23174i −0.329488 0.0882861i
\(640\) 12.7799i 0.505172i
\(641\) 5.79715 + 3.34699i 0.228974 + 0.132198i 0.610098 0.792326i \(-0.291130\pi\)
−0.381125 + 0.924524i \(0.624463\pi\)
\(642\) 19.7575 5.29400i 0.779766 0.208938i
\(643\) 11.3176 42.2380i 0.446324 1.66570i −0.266092 0.963948i \(-0.585732\pi\)
0.712416 0.701757i \(-0.247601\pi\)
\(644\) 16.5848 38.6866i 0.653534 1.52446i
\(645\) −16.2008 16.2008i −0.637907 0.637907i
\(646\) 14.7944 0.582079
\(647\) 2.42484 0.0953303 0.0476652 0.998863i \(-0.484822\pi\)
0.0476652 + 0.998863i \(0.484822\pi\)
\(648\) 0.588043 + 0.588043i 0.0231005 + 0.0231005i
\(649\) −5.95371 + 10.3121i −0.233704 + 0.404787i
\(650\) 8.70356 + 1.10435i 0.341382 + 0.0433161i
\(651\) −4.94766 + 6.28630i −0.193914 + 0.246380i
\(652\) −1.59129 5.93876i −0.0623196 0.232580i
\(653\) −9.48737 16.4326i −0.371269 0.643058i 0.618492 0.785791i \(-0.287744\pi\)
−0.989761 + 0.142734i \(0.954411\pi\)
\(654\) −6.24648 + 10.8192i −0.244257 + 0.423065i
\(655\) −27.0838 7.25709i −1.05825 0.283558i
\(656\) 1.58501 + 1.58501i 0.0618842 + 0.0618842i
\(657\) −7.50661 2.01139i −0.292861 0.0784718i
\(658\) 19.1459 + 8.20778i 0.746383 + 0.319973i
\(659\) −1.16446 2.01691i −0.0453610 0.0785676i 0.842453 0.538769i \(-0.181110\pi\)
−0.887814 + 0.460202i \(0.847777\pi\)
\(660\) 10.1944 5.88571i 0.396815 0.229101i
\(661\) −18.1901 + 18.1901i −0.707514 + 0.707514i −0.966012 0.258498i \(-0.916773\pi\)
0.258498 + 0.966012i \(0.416773\pi\)
\(662\) −45.9612 + 26.5357i −1.78633 + 1.03134i
\(663\) 16.1668 + 20.8656i 0.627866 + 0.810354i
\(664\) 11.8891i 0.461385i
\(665\) −4.00108 + 2.99268i −0.155155 + 0.116051i
\(666\) 1.44424 2.50150i 0.0559633 0.0969313i
\(667\) 69.2685i 2.68209i
\(668\) 4.56306 17.0296i 0.176550 0.658894i
\(669\) 6.87505 + 25.6580i 0.265805 + 0.991997i
\(670\) 18.2278 18.2278i 0.704202 0.704202i
\(671\) 16.7570 16.7570i 0.646898 0.646898i
\(672\) 3.04228 21.0997i 0.117358 0.813939i
\(673\) −24.9952 14.4310i −0.963493 0.556273i −0.0662467 0.997803i \(-0.521102\pi\)
−0.897246 + 0.441530i \(0.854436\pi\)
\(674\) 0.402472 1.50205i 0.0155026 0.0578566i
\(675\) −0.580235 1.00500i −0.0223333 0.0386824i
\(676\) 8.34565 + 30.0174i 0.320987 + 1.15451i
\(677\) 13.4814 + 7.78352i 0.518134 + 0.299145i 0.736171 0.676796i \(-0.236632\pi\)
−0.218037 + 0.975941i \(0.569965\pi\)
\(678\) 22.9215 6.14179i 0.880293 0.235874i
\(679\) 21.2041 + 16.6888i 0.813737 + 0.640456i
\(680\) 10.3314 5.96481i 0.396189 0.228740i
\(681\) −0.460067 1.71699i −0.0176298 0.0657954i
\(682\) −15.3506 + 4.11319i −0.587806 + 0.157502i
\(683\) 40.6350 10.8881i 1.55486 0.416622i 0.623825 0.781564i \(-0.285578\pi\)
0.931031 + 0.364941i \(0.118911\pi\)
\(684\) −0.597819 2.23109i −0.0228582 0.0853078i
\(685\) 9.66529 5.58026i 0.369292 0.213211i
\(686\) 38.6620 3.64505i 1.47612 0.139169i
\(687\) −8.68390 + 2.32685i −0.331312 + 0.0887747i
\(688\) −30.8794 17.8282i −1.17727 0.679695i
\(689\) 1.12937 + 8.27825i 0.0430256 + 0.315376i
\(690\) 13.6370 + 23.6199i 0.519150 + 0.899194i
\(691\) −5.66969 + 21.1596i −0.215685 + 0.804948i 0.770239 + 0.637755i \(0.220137\pi\)
−0.985924 + 0.167193i \(0.946530\pi\)
\(692\) −38.0684 21.9788i −1.44714 0.835508i
\(693\) 6.15788 2.46239i 0.233918 0.0935385i
\(694\) −50.6735 + 50.6735i −1.92354 + 1.92354i
\(695\) −15.0080 + 15.0080i −0.569284 + 0.569284i
\(696\) 2.24599 + 8.38214i 0.0851339 + 0.317724i
\(697\) −1.39278 + 5.19791i −0.0527551 + 0.196885i
\(698\) 58.8192i 2.22634i
\(699\) −0.514845 + 0.891738i −0.0194732 + 0.0337286i
\(700\) 2.89932 6.76309i 0.109584 0.255621i
\(701\) 15.8478i 0.598564i −0.954165 0.299282i \(-0.903253\pi\)
0.954165 0.299282i \(-0.0967471\pi\)
\(702\) 4.57415 6.01939i 0.172640 0.227187i
\(703\) −1.14979 + 0.663830i −0.0433650 + 0.0250368i
\(704\) 19.1354 19.1354i 0.721191 0.721191i
\(705\) −6.37195 + 3.67884i −0.239981 + 0.138553i
\(706\) 10.1229 + 17.5334i 0.380981 + 0.659879i
\(707\) 3.96727 9.25423i 0.149204 0.348041i
\(708\) 10.9968 + 2.94659i 0.413285 + 0.110739i
\(709\) 34.1644 + 34.1644i 1.28307 + 1.28307i 0.938911 + 0.344160i \(0.111836\pi\)
0.344160 + 0.938911i \(0.388164\pi\)
\(710\) 34.2207 + 9.16940i 1.28428 + 0.344121i
\(711\) 2.31642 4.01217i 0.0868727 0.150468i
\(712\) −1.70449 2.95227i −0.0638786 0.110641i
\(713\) −5.19489 19.3876i −0.194550 0.726071i
\(714\) 37.7104 15.0795i 1.41128 0.564336i
\(715\) −10.8466 13.9991i −0.405638 0.523536i
\(716\) 2.28818 3.96325i 0.0855134 0.148114i
\(717\) 13.2347 + 13.2347i 0.494257 + 0.494257i
\(718\) −71.6946 −2.67562
\(719\) 10.6433 0.396927 0.198463 0.980108i \(-0.436405\pi\)
0.198463 + 0.980108i \(0.436405\pi\)
\(720\) 4.22522 + 4.22522i 0.157465 + 0.157465i
\(721\) 15.0577 + 20.1314i 0.560776 + 0.749733i
\(722\) 9.80710 36.6006i 0.364983 1.36213i
\(723\) −2.83676 + 0.760109i −0.105500 + 0.0282688i
\(724\) 39.2988 + 22.6892i 1.46053 + 0.843237i
\(725\) 12.1093i 0.449730i
\(726\) −9.55311 2.55975i −0.354549 0.0950012i
\(727\) −5.89296 −0.218558 −0.109279 0.994011i \(-0.534854\pi\)
−0.109279 + 0.994011i \(0.534854\pi\)
\(728\) 7.93291 + 0.0603683i 0.294013 + 0.00223740i
\(729\) −1.00000 −0.0370370
\(730\) 30.8420 + 8.26408i 1.14151 + 0.305867i
\(731\) 85.6005i 3.16605i
\(732\) −19.6222 11.3289i −0.725257 0.418728i
\(733\) 37.0791 9.93532i 1.36955 0.366970i 0.502235 0.864731i \(-0.332511\pi\)
0.867314 + 0.497762i \(0.165845\pi\)
\(734\) −14.5362 + 54.2499i −0.536542 + 2.00240i
\(735\) −7.14824 + 11.7064i −0.263667 + 0.431797i
\(736\) 37.8207 + 37.8207i 1.39409 + 1.39409i
\(737\) 15.7269 0.579309
\(738\) 1.54128 0.0567352
\(739\) −14.6029 14.6029i −0.537176 0.537176i 0.385522 0.922699i \(-0.374021\pi\)
−0.922699 + 0.385522i \(0.874021\pi\)
\(740\) −3.23458 + 5.60246i −0.118906 + 0.205950i
\(741\) −3.20415 + 1.34484i −0.117708 + 0.0494040i
\(742\) 12.7236 + 1.83457i 0.467099 + 0.0673491i
\(743\) 8.72671 + 32.5685i 0.320152 + 1.19482i 0.919097 + 0.394033i \(0.128920\pi\)
−0.598945 + 0.800790i \(0.704413\pi\)
\(744\) 1.25726 + 2.17764i 0.0460934 + 0.0798361i
\(745\) 8.74028 15.1386i 0.320219 0.554636i
\(746\) 7.42228 + 1.98879i 0.271749 + 0.0728150i
\(747\) −10.1090 10.1090i −0.369869 0.369869i
\(748\) 42.4812 + 11.3828i 1.55327 + 0.416197i
\(749\) −25.6281 + 3.05384i −0.936430 + 0.111585i
\(750\) 12.6556 + 21.9201i 0.462116 + 0.800409i
\(751\) 27.5178 15.8874i 1.00414 0.579741i 0.0946696 0.995509i \(-0.469821\pi\)
0.909471 + 0.415768i \(0.136487\pi\)
\(752\) −8.09679 + 8.09679i −0.295259 + 0.295259i
\(753\) −0.424072 + 0.244838i −0.0154540 + 0.00892240i
\(754\) 72.7417 30.5310i 2.64910 1.11187i
\(755\) 25.2019i 0.917191i
\(756\) −3.79790 5.07762i −0.138128 0.184671i
\(757\) −13.6215 + 23.5930i −0.495080 + 0.857504i −0.999984 0.00567171i \(-0.998195\pi\)
0.504904 + 0.863176i \(0.331528\pi\)
\(758\) 49.9334i 1.81366i
\(759\) −4.30664 + 16.0726i −0.156321 + 0.583398i
\(760\) 0.406476 + 1.51699i 0.0147444 + 0.0550270i
\(761\) −20.1667 + 20.1667i −0.731042 + 0.731042i −0.970826 0.239784i \(-0.922923\pi\)
0.239784 + 0.970826i \(0.422923\pi\)
\(762\) 16.7985 16.7985i 0.608546 0.608546i
\(763\) 9.74935 12.3871i 0.352950 0.448444i
\(764\) 22.3928 + 12.9285i 0.810143 + 0.467736i
\(765\) −3.71277 + 13.8563i −0.134236 + 0.500974i
\(766\) −32.0817 55.5671i −1.15916 2.00772i
\(767\) 2.15595 16.9914i 0.0778467 0.613523i
\(768\) 6.85557 + 3.95806i 0.247379 + 0.142824i
\(769\) 27.2629 7.30506i 0.983124 0.263427i 0.268764 0.963206i \(-0.413385\pi\)
0.714360 + 0.699779i \(0.246718\pi\)
\(770\) −25.3005 + 10.1171i −0.911767 + 0.364594i
\(771\) 16.2048 9.35585i 0.583602 0.336943i
\(772\) 12.1913 + 45.4986i 0.438775 + 1.63753i
\(773\) 11.7186 3.13999i 0.421488 0.112937i −0.0418396 0.999124i \(-0.513322\pi\)
0.463328 + 0.886187i \(0.346655\pi\)
\(774\)