Properties

Label 224.2.u.c.29.6
Level $224$
Weight $2$
Character 224.29
Analytic conductor $1.789$
Analytic rank $0$
Dimension $52$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 224.u (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.78864900528\)
Analytic rank: \(0\)
Dimension: \(52\)
Relative dimension: \(13\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 29.6
Character \(\chi\) \(=\) 224.29
Dual form 224.2.u.c.85.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.729813 + 1.21135i) q^{2} +(1.74965 + 0.724727i) q^{3} +(-0.934745 - 1.76812i) q^{4} +(1.44353 + 3.48498i) q^{5} +(-2.15481 + 1.59052i) q^{6} +(0.707107 - 0.707107i) q^{7} +(2.82401 + 0.158094i) q^{8} +(0.414709 + 0.414709i) q^{9} +O(q^{10})\) \(q+(-0.729813 + 1.21135i) q^{2} +(1.74965 + 0.724727i) q^{3} +(-0.934745 - 1.76812i) q^{4} +(1.44353 + 3.48498i) q^{5} +(-2.15481 + 1.59052i) q^{6} +(0.707107 - 0.707107i) q^{7} +(2.82401 + 0.158094i) q^{8} +(0.414709 + 0.414709i) q^{9} +(-5.27504 - 0.794768i) q^{10} +(-2.63324 + 1.09072i) q^{11} +(-0.354067 - 3.77102i) q^{12} +(2.43617 - 5.88144i) q^{13} +(0.340499 + 1.37261i) q^{14} +7.14364i q^{15} +(-2.25250 + 3.30548i) q^{16} +6.50231i q^{17} +(-0.805018 + 0.199698i) q^{18} +(0.581888 - 1.40480i) q^{19} +(4.81254 - 5.80990i) q^{20} +(1.74965 - 0.724727i) q^{21} +(0.600524 - 3.98580i) q^{22} +(-3.10808 - 3.10808i) q^{23} +(4.82643 + 2.32324i) q^{24} +(-6.52579 + 6.52579i) q^{25} +(5.34654 + 7.24341i) q^{26} +(-1.74914 - 4.22279i) q^{27} +(-1.91121 - 0.589286i) q^{28} +(-3.27190 - 1.35527i) q^{29} +(-8.65346 - 5.21353i) q^{30} +3.10839 q^{31} +(-2.36019 - 5.14096i) q^{32} -5.39771 q^{33} +(-7.87659 - 4.74548i) q^{34} +(3.48498 + 1.44353i) q^{35} +(0.345608 - 1.12090i) q^{36} +(0.403202 + 0.973415i) q^{37} +(1.27704 + 1.73011i) q^{38} +(8.52487 - 8.52487i) q^{39} +(3.52557 + 10.0698i) q^{40} +(5.07868 + 5.07868i) q^{41} +(-0.399016 + 2.64835i) q^{42} +(4.48831 - 1.85912i) q^{43} +(4.38994 + 3.63634i) q^{44} +(-0.846609 + 2.04389i) q^{45} +(6.03331 - 1.49666i) q^{46} -9.40146i q^{47} +(-6.33666 + 4.15097i) q^{48} -1.00000i q^{49} +(-3.14242 - 12.6676i) q^{50} +(-4.71240 + 11.3767i) q^{51} +(-12.6763 + 1.19020i) q^{52} +(3.60715 - 1.49413i) q^{53} +(6.39183 + 0.963030i) q^{54} +(-7.60230 - 7.60230i) q^{55} +(2.10866 - 1.88508i) q^{56} +(2.03619 - 2.03619i) q^{57} +(4.02958 - 2.97433i) q^{58} +(-3.33172 - 8.04349i) q^{59} +(12.6308 - 6.67748i) q^{60} +(2.34669 + 0.972032i) q^{61} +(-2.26854 + 3.76535i) q^{62} +0.586487 q^{63} +(7.95001 + 0.892918i) q^{64} +24.0134 q^{65} +(3.93932 - 6.53852i) q^{66} +(-0.931743 - 0.385940i) q^{67} +(11.4969 - 6.07800i) q^{68} +(-3.18553 - 7.69056i) q^{69} +(-4.29200 + 3.16803i) q^{70} +(7.12660 - 7.12660i) q^{71} +(1.10558 + 1.23670i) q^{72} +(3.38133 + 3.38133i) q^{73} +(-1.47341 - 0.221992i) q^{74} +(-16.1472 + 6.68841i) q^{75} +(-3.02778 + 0.284283i) q^{76} +(-1.09072 + 2.63324i) q^{77} +(4.10505 + 16.5482i) q^{78} +1.35534i q^{79} +(-14.7711 - 3.07838i) q^{80} -10.4155i q^{81} +(-9.85856 + 2.44558i) q^{82} +(-1.64053 + 3.96059i) q^{83} +(-2.91688 - 2.41615i) q^{84} +(-22.6604 + 9.38626i) q^{85} +(-1.02358 + 6.79374i) q^{86} +(-4.74247 - 4.74247i) q^{87} +(-7.60872 + 2.66391i) q^{88} +(-8.99424 + 8.99424i) q^{89} +(-1.85801 - 2.51720i) q^{90} +(-2.43617 - 5.88144i) q^{91} +(-2.59020 + 8.40074i) q^{92} +(5.43858 + 2.25273i) q^{93} +(11.3885 + 6.86131i) q^{94} +5.73568 q^{95} +(-0.403711 - 10.7054i) q^{96} +1.01105 q^{97} +(1.21135 + 0.729813i) q^{98} +(-1.54436 - 0.639695i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 52 q - 20 q^{6} + O(q^{10}) \) \( 52 q - 20 q^{6} - 8 q^{10} + 12 q^{12} - 12 q^{16} - 20 q^{18} + 20 q^{22} - 20 q^{23} - 8 q^{24} + 20 q^{26} - 24 q^{27} - 8 q^{28} + 20 q^{30} + 60 q^{32} - 48 q^{33} + 48 q^{34} + 8 q^{36} - 60 q^{38} - 24 q^{39} + 20 q^{40} - 44 q^{43} + 32 q^{44} + 40 q^{45} - 32 q^{46} - 84 q^{48} - 124 q^{50} + 16 q^{51} - 32 q^{52} - 36 q^{53} + 96 q^{54} + 32 q^{55} + 16 q^{56} + 4 q^{58} - 92 q^{60} - 32 q^{61} + 12 q^{62} + 68 q^{63} + 48 q^{64} + 80 q^{65} + 16 q^{66} + 28 q^{67} - 4 q^{68} - 32 q^{69} + 8 q^{70} - 88 q^{72} + 36 q^{74} + 32 q^{75} + 96 q^{76} - 12 q^{77} + 12 q^{78} - 108 q^{80} - 96 q^{82} + 64 q^{85} + 76 q^{86} - 56 q^{87} + 104 q^{88} - 132 q^{90} + 32 q^{92} - 4 q^{94} - 64 q^{95} + 8 q^{96} - 72 q^{97} - 64 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{3}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.729813 + 1.21135i −0.516056 + 0.856555i
\(3\) 1.74965 + 0.724727i 1.01016 + 0.418421i 0.825512 0.564384i \(-0.190886\pi\)
0.184646 + 0.982805i \(0.440886\pi\)
\(4\) −0.934745 1.76812i −0.467372 0.884061i
\(5\) 1.44353 + 3.48498i 0.645565 + 1.55853i 0.819067 + 0.573698i \(0.194492\pi\)
−0.173502 + 0.984833i \(0.555508\pi\)
\(6\) −2.15481 + 1.59052i −0.879699 + 0.649327i
\(7\) 0.707107 0.707107i 0.267261 0.267261i
\(8\) 2.82401 + 0.158094i 0.998437 + 0.0558947i
\(9\) 0.414709 + 0.414709i 0.138236 + 0.138236i
\(10\) −5.27504 0.794768i −1.66811 0.251328i
\(11\) −2.63324 + 1.09072i −0.793951 + 0.328865i −0.742531 0.669812i \(-0.766375\pi\)
−0.0514204 + 0.998677i \(0.516375\pi\)
\(12\) −0.354067 3.77102i −0.102210 1.08860i
\(13\) 2.43617 5.88144i 0.675672 1.63122i −0.0961412 0.995368i \(-0.530650\pi\)
0.771813 0.635849i \(-0.219350\pi\)
\(14\) 0.340499 + 1.37261i 0.0910021 + 0.366846i
\(15\) 7.14364i 1.84448i
\(16\) −2.25250 + 3.30548i −0.563126 + 0.826371i
\(17\) 6.50231i 1.57704i 0.615007 + 0.788521i \(0.289153\pi\)
−0.615007 + 0.788521i \(0.710847\pi\)
\(18\) −0.805018 + 0.199698i −0.189745 + 0.0470693i
\(19\) 0.581888 1.40480i 0.133494 0.322284i −0.842971 0.537959i \(-0.819195\pi\)
0.976465 + 0.215676i \(0.0691954\pi\)
\(20\) 4.81254 5.80990i 1.07612 1.29913i
\(21\) 1.74965 0.724727i 0.381804 0.158148i
\(22\) 0.600524 3.98580i 0.128032 0.849776i
\(23\) −3.10808 3.10808i −0.648080 0.648080i 0.304448 0.952529i \(-0.401528\pi\)
−0.952529 + 0.304448i \(0.901528\pi\)
\(24\) 4.82643 + 2.32324i 0.985191 + 0.474230i
\(25\) −6.52579 + 6.52579i −1.30516 + 1.30516i
\(26\) 5.34654 + 7.24341i 1.04854 + 1.42055i
\(27\) −1.74914 4.22279i −0.336622 0.812677i
\(28\) −1.91121 0.589286i −0.361186 0.111365i
\(29\) −3.27190 1.35527i −0.607577 0.251667i 0.0576150 0.998339i \(-0.481650\pi\)
−0.665192 + 0.746672i \(0.731650\pi\)
\(30\) −8.65346 5.21353i −1.57990 0.951855i
\(31\) 3.10839 0.558283 0.279142 0.960250i \(-0.409950\pi\)
0.279142 + 0.960250i \(0.409950\pi\)
\(32\) −2.36019 5.14096i −0.417227 0.908802i
\(33\) −5.39771 −0.939621
\(34\) −7.87659 4.74548i −1.35082 0.813842i
\(35\) 3.48498 + 1.44353i 0.589069 + 0.244001i
\(36\) 0.345608 1.12090i 0.0576014 0.186817i
\(37\) 0.403202 + 0.973415i 0.0662860 + 0.160028i 0.953551 0.301231i \(-0.0973976\pi\)
−0.887265 + 0.461260i \(0.847398\pi\)
\(38\) 1.27704 + 1.73011i 0.207163 + 0.280661i
\(39\) 8.52487 8.52487i 1.36507 1.36507i
\(40\) 3.52557 + 10.0698i 0.557442 + 1.59218i
\(41\) 5.07868 + 5.07868i 0.793157 + 0.793157i 0.982006 0.188849i \(-0.0604758\pi\)
−0.188849 + 0.982006i \(0.560476\pi\)
\(42\) −0.399016 + 2.64835i −0.0615695 + 0.408649i
\(43\) 4.48831 1.85912i 0.684462 0.283513i −0.0132290 0.999912i \(-0.504211\pi\)
0.697691 + 0.716399i \(0.254211\pi\)
\(44\) 4.38994 + 3.63634i 0.661808 + 0.548199i
\(45\) −0.846609 + 2.04389i −0.126205 + 0.304686i
\(46\) 6.03331 1.49666i 0.889562 0.220671i
\(47\) 9.40146i 1.37134i −0.727911 0.685672i \(-0.759509\pi\)
0.727911 0.685672i \(-0.240491\pi\)
\(48\) −6.33666 + 4.15097i −0.914618 + 0.599141i
\(49\) 1.00000i 0.142857i
\(50\) −3.14242 12.6676i −0.444405 1.79147i
\(51\) −4.71240 + 11.3767i −0.659868 + 1.59306i
\(52\) −12.6763 + 1.19020i −1.75788 + 0.165051i
\(53\) 3.60715 1.49413i 0.495481 0.205235i −0.120928 0.992661i \(-0.538587\pi\)
0.616409 + 0.787426i \(0.288587\pi\)
\(54\) 6.39183 + 0.963030i 0.869818 + 0.131052i
\(55\) −7.60230 7.60230i −1.02509 1.02509i
\(56\) 2.10866 1.88508i 0.281782 0.251905i
\(57\) 2.03619 2.03619i 0.269700 0.269700i
\(58\) 4.02958 2.97433i 0.529110 0.390549i
\(59\) −3.33172 8.04349i −0.433754 1.04717i −0.978067 0.208292i \(-0.933210\pi\)
0.544313 0.838882i \(-0.316790\pi\)
\(60\) 12.6308 6.67748i 1.63063 0.862059i
\(61\) 2.34669 + 0.972032i 0.300463 + 0.124456i 0.527822 0.849355i \(-0.323009\pi\)
−0.227358 + 0.973811i \(0.573009\pi\)
\(62\) −2.26854 + 3.76535i −0.288105 + 0.478200i
\(63\) 0.586487 0.0738904
\(64\) 7.95001 + 0.892918i 0.993752 + 0.111615i
\(65\) 24.0134 2.97849
\(66\) 3.93932 6.53852i 0.484897 0.804837i
\(67\) −0.931743 0.385940i −0.113830 0.0471501i 0.325041 0.945700i \(-0.394622\pi\)
−0.438872 + 0.898550i \(0.644622\pi\)
\(68\) 11.4969 6.07800i 1.39420 0.737066i
\(69\) −3.18553 7.69056i −0.383493 0.925834i
\(70\) −4.29200 + 3.16803i −0.512993 + 0.378652i
\(71\) 7.12660 7.12660i 0.845771 0.845771i −0.143831 0.989602i \(-0.545942\pi\)
0.989602 + 0.143831i \(0.0459421\pi\)
\(72\) 1.10558 + 1.23670i 0.130293 + 0.145747i
\(73\) 3.38133 + 3.38133i 0.395755 + 0.395755i 0.876733 0.480978i \(-0.159718\pi\)
−0.480978 + 0.876733i \(0.659718\pi\)
\(74\) −1.47341 0.221992i −0.171280 0.0258061i
\(75\) −16.1472 + 6.68841i −1.86452 + 0.772311i
\(76\) −3.02778 + 0.284283i −0.347310 + 0.0326094i
\(77\) −1.09072 + 2.63324i −0.124299 + 0.300085i
\(78\) 4.10505 + 16.5482i 0.464805 + 1.87371i
\(79\) 1.35534i 0.152487i 0.997089 + 0.0762436i \(0.0242927\pi\)
−0.997089 + 0.0762436i \(0.975707\pi\)
\(80\) −14.7711 3.07838i −1.65146 0.344174i
\(81\) 10.4155i 1.15728i
\(82\) −9.85856 + 2.44558i −1.08870 + 0.270069i
\(83\) −1.64053 + 3.96059i −0.180072 + 0.434731i −0.987981 0.154575i \(-0.950599\pi\)
0.807909 + 0.589307i \(0.200599\pi\)
\(84\) −2.91688 2.41615i −0.318257 0.263624i
\(85\) −22.6604 + 9.38626i −2.45787 + 1.01808i
\(86\) −1.02358 + 6.79374i −0.110376 + 0.732588i
\(87\) −4.74247 4.74247i −0.508446 0.508446i
\(88\) −7.60872 + 2.66391i −0.811092 + 0.283974i
\(89\) −8.99424 + 8.99424i −0.953387 + 0.953387i −0.998961 0.0455735i \(-0.985488\pi\)
0.0455735 + 0.998961i \(0.485488\pi\)
\(90\) −1.85801 2.51720i −0.195851 0.265336i
\(91\) −2.43617 5.88144i −0.255380 0.616542i
\(92\) −2.59020 + 8.40074i −0.270047 + 0.875837i
\(93\) 5.43858 + 2.25273i 0.563954 + 0.233598i
\(94\) 11.3885 + 6.86131i 1.17463 + 0.707690i
\(95\) 5.73568 0.588468
\(96\) −0.403711 10.7054i −0.0412035 1.09261i
\(97\) 1.01105 0.102657 0.0513283 0.998682i \(-0.483655\pi\)
0.0513283 + 0.998682i \(0.483655\pi\)
\(98\) 1.21135 + 0.729813i 0.122365 + 0.0737223i
\(99\) −1.54436 0.639695i −0.155214 0.0642917i
\(100\) 17.6383 + 5.43844i 1.76383 + 0.543844i
\(101\) −5.32793 12.8628i −0.530148 1.27989i −0.931425 0.363934i \(-0.881433\pi\)
0.401276 0.915957i \(-0.368567\pi\)
\(102\) −10.3421 14.0113i −1.02402 1.38732i
\(103\) −12.5880 + 12.5880i −1.24033 + 1.24033i −0.280466 + 0.959864i \(0.590489\pi\)
−0.959864 + 0.280466i \(0.909511\pi\)
\(104\) 7.80958 16.2241i 0.765792 1.59090i
\(105\) 5.05132 + 5.05132i 0.492958 + 0.492958i
\(106\) −0.822630 + 5.45997i −0.0799009 + 0.530319i
\(107\) −9.24632 + 3.82995i −0.893875 + 0.370255i −0.781862 0.623451i \(-0.785730\pi\)
−0.112013 + 0.993707i \(0.535730\pi\)
\(108\) −5.83141 + 7.03992i −0.561128 + 0.677417i
\(109\) −2.26472 + 5.46751i −0.216921 + 0.523693i −0.994457 0.105145i \(-0.966469\pi\)
0.777536 + 0.628838i \(0.216469\pi\)
\(110\) 14.7573 3.66080i 1.40706 0.349043i
\(111\) 1.99534i 0.189390i
\(112\) 0.744569 + 3.93009i 0.0703551 + 0.371359i
\(113\) 9.51463i 0.895061i 0.894269 + 0.447530i \(0.147696\pi\)
−0.894269 + 0.447530i \(0.852304\pi\)
\(114\) 0.980505 + 3.95259i 0.0918327 + 0.370194i
\(115\) 6.34501 15.3182i 0.591676 1.42843i
\(116\) 0.662119 + 7.05195i 0.0614762 + 0.654757i
\(117\) 3.44938 1.42878i 0.318896 0.132091i
\(118\) 12.1750 + 1.83436i 1.12080 + 0.168867i
\(119\) 4.59783 + 4.59783i 0.421482 + 0.421482i
\(120\) −1.12937 + 20.1737i −0.103097 + 1.84160i
\(121\) −2.03390 + 2.03390i −0.184900 + 0.184900i
\(122\) −2.89012 + 2.13327i −0.261659 + 0.193137i
\(123\) 5.20523 + 12.5665i 0.469340 + 1.13309i
\(124\) −2.90555 5.49601i −0.260926 0.493556i
\(125\) −14.7375 6.10448i −1.31816 0.546001i
\(126\) −0.428026 + 0.710441i −0.0381316 + 0.0632911i
\(127\) 6.58940 0.584715 0.292357 0.956309i \(-0.405560\pi\)
0.292357 + 0.956309i \(0.405560\pi\)
\(128\) −6.88366 + 8.97860i −0.608436 + 0.793603i
\(129\) 9.20031 0.810042
\(130\) −17.5253 + 29.0886i −1.53707 + 2.55124i
\(131\) −8.23083 3.40932i −0.719131 0.297874i −0.00705412 0.999975i \(-0.502245\pi\)
−0.712077 + 0.702101i \(0.752245\pi\)
\(132\) 5.04548 + 9.54381i 0.439153 + 0.830682i
\(133\) −0.581888 1.40480i −0.0504561 0.121812i
\(134\) 1.14751 0.847003i 0.0991296 0.0731699i
\(135\) 12.1914 12.1914i 1.04927 1.04927i
\(136\) −1.02798 + 18.3626i −0.0881484 + 1.57458i
\(137\) −10.6589 10.6589i −0.910650 0.910650i 0.0856733 0.996323i \(-0.472696\pi\)
−0.996323 + 0.0856733i \(0.972696\pi\)
\(138\) 11.6408 + 1.75387i 0.990932 + 0.149299i
\(139\) −3.55792 + 1.47374i −0.301779 + 0.125001i −0.528435 0.848974i \(-0.677221\pi\)
0.226656 + 0.973975i \(0.427221\pi\)
\(140\) −0.705238 7.51120i −0.0596035 0.634812i
\(141\) 6.81349 16.4492i 0.573799 1.38527i
\(142\) 3.43173 + 13.8339i 0.287984 + 1.16092i
\(143\) 18.1444i 1.51731i
\(144\) −2.30495 + 0.436679i −0.192079 + 0.0363900i
\(145\) 13.3589i 1.10940i
\(146\) −6.56373 + 1.62824i −0.543218 + 0.134754i
\(147\) 0.724727 1.74965i 0.0597745 0.144308i
\(148\) 1.34423 1.62280i 0.110495 0.133394i
\(149\) 3.85494 1.59677i 0.315809 0.130812i −0.219148 0.975692i \(-0.570328\pi\)
0.534957 + 0.844879i \(0.320328\pi\)
\(150\) 3.68246 24.4413i 0.300672 1.99562i
\(151\) 7.19011 + 7.19011i 0.585123 + 0.585123i 0.936307 0.351184i \(-0.114221\pi\)
−0.351184 + 0.936307i \(0.614221\pi\)
\(152\) 1.86535 3.87517i 0.151299 0.314318i
\(153\) −2.69657 + 2.69657i −0.218004 + 0.218004i
\(154\) −2.39375 3.24302i −0.192894 0.261330i
\(155\) 4.48704 + 10.8327i 0.360408 + 0.870102i
\(156\) −23.0416 7.10442i −1.84480 0.568809i
\(157\) 14.6135 + 6.05312i 1.16629 + 0.483092i 0.879963 0.475042i \(-0.157567\pi\)
0.286323 + 0.958133i \(0.407567\pi\)
\(158\) −1.64179 0.989142i −0.130614 0.0786919i
\(159\) 7.39408 0.586388
\(160\) 14.5092 15.6463i 1.14705 1.23695i
\(161\) −4.39550 −0.346414
\(162\) 12.6168 + 7.60137i 0.991271 + 0.597220i
\(163\) −6.20182 2.56888i −0.485764 0.201210i 0.126341 0.991987i \(-0.459677\pi\)
−0.612104 + 0.790777i \(0.709677\pi\)
\(164\) 4.23245 13.7270i 0.330499 1.07190i
\(165\) −7.79174 18.8109i −0.606586 1.46443i
\(166\) −3.60039 4.87775i −0.279444 0.378587i
\(167\) −8.00706 + 8.00706i −0.619605 + 0.619605i −0.945430 0.325825i \(-0.894358\pi\)
0.325825 + 0.945430i \(0.394358\pi\)
\(168\) 5.05558 1.77002i 0.390047 0.136560i
\(169\) −19.4640 19.4640i −1.49723 1.49723i
\(170\) 5.16783 34.3000i 0.396355 2.63069i
\(171\) 0.823897 0.341269i 0.0630050 0.0260975i
\(172\) −7.48258 6.19808i −0.570541 0.472599i
\(173\) −5.25090 + 12.6768i −0.399218 + 0.963799i 0.588633 + 0.808400i \(0.299666\pi\)
−0.987852 + 0.155399i \(0.950334\pi\)
\(174\) 9.20592 2.28368i 0.697899 0.173125i
\(175\) 9.22887i 0.697637i
\(176\) 2.32602 11.1610i 0.175330 0.841291i
\(177\) 16.4878i 1.23930i
\(178\) −4.33107 17.4593i −0.324627 1.30863i
\(179\) −2.96868 + 7.16702i −0.221889 + 0.535689i −0.995147 0.0984041i \(-0.968626\pi\)
0.773257 + 0.634093i \(0.218626\pi\)
\(180\) 4.40522 0.413613i 0.328345 0.0308289i
\(181\) −6.16090 + 2.55193i −0.457936 + 0.189683i −0.599713 0.800215i \(-0.704719\pi\)
0.141777 + 0.989899i \(0.454719\pi\)
\(182\) 8.90244 + 1.34129i 0.659892 + 0.0994232i
\(183\) 3.40142 + 3.40142i 0.251440 + 0.251440i
\(184\) −8.28588 9.26862i −0.610843 0.683292i
\(185\) −2.81030 + 2.81030i −0.206618 + 0.206618i
\(186\) −6.69800 + 4.94395i −0.491121 + 0.362508i
\(187\) −7.09223 17.1221i −0.518635 1.25210i
\(188\) −16.6229 + 8.78796i −1.21235 + 0.640928i
\(189\) −4.22279 1.74914i −0.307163 0.127231i
\(190\) −4.18597 + 6.94792i −0.303682 + 0.504055i
\(191\) 17.5840 1.27233 0.636167 0.771552i \(-0.280519\pi\)
0.636167 + 0.771552i \(0.280519\pi\)
\(192\) 13.2626 + 7.32388i 0.957144 + 0.528555i
\(193\) 0.448251 0.0322658 0.0161329 0.999870i \(-0.494865\pi\)
0.0161329 + 0.999870i \(0.494865\pi\)
\(194\) −0.737878 + 1.22474i −0.0529765 + 0.0879309i
\(195\) 42.0149 + 17.4031i 3.00875 + 1.24626i
\(196\) −1.76812 + 0.934745i −0.126294 + 0.0667675i
\(197\) −3.88901 9.38890i −0.277080 0.668931i 0.722672 0.691191i \(-0.242914\pi\)
−0.999752 + 0.0222601i \(0.992914\pi\)
\(198\) 1.90199 1.40390i 0.135168 0.0997711i
\(199\) 8.28449 8.28449i 0.587272 0.587272i −0.349620 0.936892i \(-0.613689\pi\)
0.936892 + 0.349620i \(0.113689\pi\)
\(200\) −19.4606 + 17.3972i −1.37607 + 1.23017i
\(201\) −1.35052 1.35052i −0.0952582 0.0952582i
\(202\) 19.4697 + 2.93342i 1.36988 + 0.206395i
\(203\) −3.27190 + 1.35527i −0.229643 + 0.0951211i
\(204\) 24.5203 2.30225i 1.71677 0.161190i
\(205\) −10.3679 + 25.0303i −0.724125 + 1.74819i
\(206\) −6.06159 24.4353i −0.422331 1.70249i
\(207\) 2.57790i 0.179176i
\(208\) 13.9535 + 21.3007i 0.967502 + 1.47694i
\(209\) 4.33386i 0.299779i
\(210\) −9.80544 + 2.43240i −0.676640 + 0.167852i
\(211\) −1.93104 + 4.66194i −0.132938 + 0.320941i −0.976306 0.216396i \(-0.930570\pi\)
0.843367 + 0.537337i \(0.180570\pi\)
\(212\) −6.01358 4.98125i −0.413014 0.342114i
\(213\) 17.6338 7.30418i 1.20825 0.500474i
\(214\) 2.10867 13.9957i 0.144146 0.956726i
\(215\) 12.9580 + 12.9580i 0.883729 + 0.883729i
\(216\) −4.27198 12.2017i −0.290671 0.830222i
\(217\) 2.19796 2.19796i 0.149207 0.149207i
\(218\) −4.97026 6.73363i −0.336628 0.456059i
\(219\) 3.46559 + 8.36668i 0.234183 + 0.565368i
\(220\) −6.33558 + 20.5480i −0.427145 + 1.38535i
\(221\) 38.2429 + 15.8407i 2.57250 + 1.06556i
\(222\) −2.41706 1.45623i −0.162223 0.0977356i
\(223\) −22.5689 −1.51133 −0.755664 0.654959i \(-0.772686\pi\)
−0.755664 + 0.654959i \(0.772686\pi\)
\(224\) −5.30412 1.96630i −0.354396 0.131379i
\(225\) −5.41261 −0.360840
\(226\) −11.5256 6.94390i −0.766669 0.461902i
\(227\) −14.1759 5.87185i −0.940888 0.389728i −0.141089 0.989997i \(-0.545060\pi\)
−0.799799 + 0.600268i \(0.795060\pi\)
\(228\) −5.50356 1.69692i −0.364482 0.112381i
\(229\) −5.83040 14.0758i −0.385284 0.930157i −0.990925 0.134419i \(-0.957083\pi\)
0.605641 0.795738i \(-0.292917\pi\)
\(230\) 13.9251 + 18.8655i 0.918192 + 1.24395i
\(231\) −3.81676 + 3.81676i −0.251124 + 0.251124i
\(232\) −9.02561 4.34455i −0.592561 0.285234i
\(233\) 13.4881 + 13.4881i 0.883638 + 0.883638i 0.993902 0.110265i \(-0.0351698\pi\)
−0.110265 + 0.993902i \(0.535170\pi\)
\(234\) −0.786650 + 5.22116i −0.0514249 + 0.341318i
\(235\) 32.7639 13.5713i 2.13728 0.885291i
\(236\) −11.1076 + 13.4095i −0.723041 + 0.872884i
\(237\) −0.982248 + 2.37136i −0.0638038 + 0.154036i
\(238\) −8.92515 + 2.21403i −0.578531 + 0.143514i
\(239\) 22.1569i 1.43321i 0.697478 + 0.716606i \(0.254305\pi\)
−0.697478 + 0.716606i \(0.745695\pi\)
\(240\) −23.6132 16.0911i −1.52423 1.03868i
\(241\) 1.85041i 0.119195i 0.998222 + 0.0595976i \(0.0189818\pi\)
−0.998222 + 0.0595976i \(0.981018\pi\)
\(242\) −0.979402 3.94814i −0.0629583 0.253796i
\(243\) 2.30097 5.55504i 0.147607 0.356356i
\(244\) −0.474889 5.05784i −0.0304016 0.323795i
\(245\) 3.48498 1.44353i 0.222647 0.0922235i
\(246\) −19.0213 2.86587i −1.21276 0.182721i
\(247\) −6.84467 6.84467i −0.435516 0.435516i
\(248\) 8.77811 + 0.491418i 0.557410 + 0.0312051i
\(249\) −5.74069 + 5.74069i −0.363801 + 0.363801i
\(250\) 18.1503 13.3972i 1.14793 0.847312i
\(251\) 0.874117 + 2.11031i 0.0551738 + 0.133201i 0.949063 0.315087i \(-0.102034\pi\)
−0.893889 + 0.448288i \(0.852034\pi\)
\(252\) −0.548215 1.03698i −0.0345343 0.0653236i
\(253\) 11.5744 + 4.79427i 0.727676 + 0.301413i
\(254\) −4.80903 + 7.98208i −0.301746 + 0.500840i
\(255\) −46.4502 −2.90882
\(256\) −5.85245 14.8912i −0.365778 0.930702i
\(257\) 24.8369 1.54928 0.774642 0.632399i \(-0.217930\pi\)
0.774642 + 0.632399i \(0.217930\pi\)
\(258\) −6.71451 + 11.1448i −0.418027 + 0.693846i
\(259\) 0.973415 + 0.403202i 0.0604851 + 0.0250537i
\(260\) −22.4464 42.4586i −1.39206 2.63317i
\(261\) −0.794846 1.91893i −0.0491997 0.118779i
\(262\) 10.1369 7.48226i 0.626257 0.462256i
\(263\) −11.6463 + 11.6463i −0.718141 + 0.718141i −0.968224 0.250084i \(-0.919542\pi\)
0.250084 + 0.968224i \(0.419542\pi\)
\(264\) −15.2432 0.853347i −0.938152 0.0525199i
\(265\) 10.4140 + 10.4140i 0.639730 + 0.639730i
\(266\) 2.12638 + 0.320372i 0.130377 + 0.0196433i
\(267\) −22.2551 + 9.21836i −1.36199 + 0.564155i
\(268\) 0.188552 + 2.00819i 0.0115176 + 0.122670i
\(269\) 6.46189 15.6004i 0.393988 0.951172i −0.595074 0.803671i \(-0.702877\pi\)
0.989062 0.147501i \(-0.0471229\pi\)
\(270\) 5.87063 + 23.6656i 0.357275 + 1.44024i
\(271\) 11.9824i 0.727881i −0.931422 0.363940i \(-0.881431\pi\)
0.931422 0.363940i \(-0.118569\pi\)
\(272\) −21.4933 14.6465i −1.30322 0.888074i
\(273\) 12.0560i 0.729661i
\(274\) 20.6907 5.13266i 1.24997 0.310075i
\(275\) 10.0661 24.3018i 0.607011 1.46545i
\(276\) −10.6202 + 12.8211i −0.639259 + 0.771740i
\(277\) 12.8441 5.32021i 0.771729 0.319661i 0.0381566 0.999272i \(-0.487851\pi\)
0.733573 + 0.679611i \(0.237851\pi\)
\(278\) 0.811402 5.38545i 0.0486647 0.322998i
\(279\) 1.28908 + 1.28908i 0.0771750 + 0.0771750i
\(280\) 9.61339 + 4.62748i 0.574510 + 0.276545i
\(281\) 2.04746 2.04746i 0.122141 0.122141i −0.643394 0.765535i \(-0.722474\pi\)
0.765535 + 0.643394i \(0.222474\pi\)
\(282\) 14.9532 + 20.2584i 0.890450 + 1.20637i
\(283\) 6.07132 + 14.6575i 0.360902 + 0.871295i 0.995169 + 0.0981806i \(0.0313023\pi\)
−0.634266 + 0.773115i \(0.718698\pi\)
\(284\) −19.2622 5.93914i −1.14300 0.352423i
\(285\) 10.0354 + 4.15680i 0.594446 + 0.246227i
\(286\) −21.9793 13.2420i −1.29966 0.783018i
\(287\) 7.18234 0.423960
\(288\) 1.15321 3.11079i 0.0679534 0.183305i
\(289\) −25.2801 −1.48706
\(290\) 16.1823 + 9.74950i 0.950258 + 0.572510i
\(291\) 1.76898 + 0.732735i 0.103699 + 0.0429537i
\(292\) 2.81792 9.13929i 0.164907 0.534837i
\(293\) −3.01716 7.28406i −0.176264 0.425539i 0.810913 0.585166i \(-0.198971\pi\)
−0.987177 + 0.159627i \(0.948971\pi\)
\(294\) 1.59052 + 2.15481i 0.0927610 + 0.125671i
\(295\) 23.2220 23.2220i 1.35204 1.35204i
\(296\) 0.984753 + 2.81267i 0.0572376 + 0.163483i
\(297\) 9.21180 + 9.21180i 0.534523 + 0.534523i
\(298\) −0.879139 + 5.83503i −0.0509271 + 0.338014i
\(299\) −25.8518 + 10.7082i −1.49505 + 0.619270i
\(300\) 26.9195 + 22.2983i 1.55420 + 1.28739i
\(301\) 1.85912 4.48831i 0.107158 0.258702i
\(302\) −13.9572 + 3.46231i −0.803146 + 0.199234i
\(303\) 26.3665i 1.51472i
\(304\) 3.33284 + 5.08774i 0.191152 + 0.291802i
\(305\) 9.58134i 0.548626i
\(306\) −1.29850 5.23448i −0.0742302 0.299235i
\(307\) 4.56669 11.0250i 0.260635 0.629228i −0.738343 0.674425i \(-0.764391\pi\)
0.998978 + 0.0451968i \(0.0143915\pi\)
\(308\) 5.67543 0.532875i 0.323388 0.0303634i
\(309\) −31.1473 + 12.9016i −1.77191 + 0.733949i
\(310\) −16.3969 2.47045i −0.931281 0.140312i
\(311\) −12.3591 12.3591i −0.700822 0.700822i 0.263765 0.964587i \(-0.415036\pi\)
−0.964587 + 0.263765i \(0.915036\pi\)
\(312\) 25.4220 22.7265i 1.43924 1.28664i
\(313\) 2.27228 2.27228i 0.128437 0.128437i −0.639966 0.768403i \(-0.721052\pi\)
0.768403 + 0.639966i \(0.221052\pi\)
\(314\) −17.9976 + 13.2845i −1.01566 + 0.749686i
\(315\) 0.846609 + 2.04389i 0.0477010 + 0.115160i
\(316\) 2.39640 1.26689i 0.134808 0.0712683i
\(317\) −18.2232 7.54829i −1.02352 0.423954i −0.193148 0.981170i \(-0.561870\pi\)
−0.830368 + 0.557216i \(0.811870\pi\)
\(318\) −5.39630 + 8.95683i −0.302609 + 0.502274i
\(319\) 10.0939 0.565151
\(320\) 8.36425 + 28.9946i 0.467576 + 1.62085i
\(321\) −18.9534 −1.05788
\(322\) 3.20789 5.32449i 0.178769 0.296722i
\(323\) 9.13446 + 3.78362i 0.508255 + 0.210526i
\(324\) −18.4159 + 9.73583i −1.02310 + 0.540879i
\(325\) 22.4831 + 54.2790i 1.24714 + 3.01086i
\(326\) 7.63798 5.63778i 0.423029 0.312248i
\(327\) −7.92490 + 7.92490i −0.438248 + 0.438248i
\(328\) 13.5393 + 15.1451i 0.747583 + 0.836250i
\(329\) −6.64784 6.64784i −0.366507 0.366507i
\(330\) 28.4732 + 4.28993i 1.56740 + 0.236153i
\(331\) 5.37837 2.22779i 0.295622 0.122451i −0.229943 0.973204i \(-0.573854\pi\)
0.525565 + 0.850753i \(0.323854\pi\)
\(332\) 8.53628 0.801485i 0.468489 0.0439872i
\(333\) −0.236472 + 0.570895i −0.0129586 + 0.0312849i
\(334\) −3.85570 15.5430i −0.210975 0.850476i
\(335\) 3.80422i 0.207847i
\(336\) −1.54551 + 7.41587i −0.0843146 + 0.404569i
\(337\) 1.91866i 0.104516i 0.998634 + 0.0522582i \(0.0166419\pi\)
−0.998634 + 0.0522582i \(0.983358\pi\)
\(338\) 37.7828 9.37264i 2.05511 0.509805i
\(339\) −6.89550 + 16.6472i −0.374512 + 0.904153i
\(340\) 37.7778 + 31.2927i 2.04879 + 1.69708i
\(341\) −8.18513 + 3.39039i −0.443250 + 0.183600i
\(342\) −0.187894 + 1.24709i −0.0101601 + 0.0674350i
\(343\) −0.707107 0.707107i −0.0381802 0.0381802i
\(344\) 12.9689 4.54059i 0.699238 0.244812i
\(345\) 22.2030 22.2030i 1.19537 1.19537i
\(346\) −11.5239 15.6124i −0.619527 0.839327i
\(347\) 8.66773 + 20.9257i 0.465308 + 1.12335i 0.966189 + 0.257837i \(0.0830096\pi\)
−0.500880 + 0.865516i \(0.666990\pi\)
\(348\) −3.95226 + 12.8183i −0.211864 + 0.687131i
\(349\) −13.9558 5.78067i −0.747035 0.309432i −0.0235038 0.999724i \(-0.507482\pi\)
−0.723531 + 0.690292i \(0.757482\pi\)
\(350\) −11.1794 6.73535i −0.597564 0.360020i
\(351\) −29.0973 −1.55310
\(352\) 11.8223 + 10.9631i 0.630132 + 0.584333i
\(353\) −17.8712 −0.951186 −0.475593 0.879665i \(-0.657766\pi\)
−0.475593 + 0.879665i \(0.657766\pi\)
\(354\) 19.9726 + 12.0331i 1.06153 + 0.639550i
\(355\) 35.1235 + 14.5486i 1.86416 + 0.772161i
\(356\) 24.3102 + 7.49559i 1.28844 + 0.397265i
\(357\) 4.71240 + 11.3767i 0.249407 + 0.602121i
\(358\) −6.51520 8.82670i −0.344339 0.466506i
\(359\) −13.3552 + 13.3552i −0.704861 + 0.704861i −0.965450 0.260589i \(-0.916083\pi\)
0.260589 + 0.965450i \(0.416083\pi\)
\(360\) −2.71396 + 5.63813i −0.143038 + 0.297155i
\(361\) 11.8002 + 11.8002i 0.621061 + 0.621061i
\(362\) 1.40503 9.32545i 0.0738465 0.490135i
\(363\) −5.03263 + 2.08459i −0.264145 + 0.109412i
\(364\) −8.12189 + 9.80509i −0.425703 + 0.513926i
\(365\) −6.90284 + 16.6649i −0.361311 + 0.872283i
\(366\) −6.60272 + 1.63791i −0.345130 + 0.0856152i
\(367\) 18.8765i 0.985344i 0.870215 + 0.492672i \(0.163980\pi\)
−0.870215 + 0.492672i \(0.836020\pi\)
\(368\) 17.2747 3.27275i 0.900506 0.170604i
\(369\) 4.21235i 0.219286i
\(370\) −1.35327 5.45526i −0.0703530 0.283605i
\(371\) 1.49413 3.60715i 0.0775715 0.187274i
\(372\) −1.10058 11.7218i −0.0570623 0.607747i
\(373\) −8.79738 + 3.64399i −0.455511 + 0.188679i −0.598628 0.801027i \(-0.704287\pi\)
0.143117 + 0.989706i \(0.454287\pi\)
\(374\) 25.9169 + 3.90480i 1.34013 + 0.201912i
\(375\) −21.3613 21.3613i −1.10310 1.10310i
\(376\) 1.48632 26.5498i 0.0766509 1.36920i
\(377\) −15.9418 + 15.9418i −0.821046 + 0.821046i
\(378\) 5.20067 3.83874i 0.267494 0.197444i
\(379\) −6.22368 15.0253i −0.319689 0.771798i −0.999270 0.0381974i \(-0.987838\pi\)
0.679581 0.733600i \(-0.262162\pi\)
\(380\) −5.36139 10.1414i −0.275034 0.520241i
\(381\) 11.5291 + 4.77551i 0.590654 + 0.244657i
\(382\) −12.8330 + 21.3004i −0.656595 + 1.08982i
\(383\) −9.20639 −0.470425 −0.235212 0.971944i \(-0.575579\pi\)
−0.235212 + 0.971944i \(0.575579\pi\)
\(384\) −18.5510 + 10.7206i −0.946676 + 0.547082i
\(385\) −10.7513 −0.547936
\(386\) −0.327140 + 0.542990i −0.0166510 + 0.0276374i
\(387\) 2.63234 + 1.09035i 0.133809 + 0.0554256i
\(388\) −0.945073 1.78766i −0.0479788 0.0907546i
\(389\) −11.1828 26.9978i −0.566993 1.36884i −0.904078 0.427368i \(-0.859441\pi\)
0.337085 0.941474i \(-0.390559\pi\)
\(390\) −51.7443 + 38.1937i −2.62018 + 1.93402i
\(391\) 20.2097 20.2097i 1.02205 1.02205i
\(392\) 0.158094 2.82401i 0.00798496 0.142634i
\(393\) −11.9302 11.9302i −0.601800 0.601800i
\(394\) 14.2115 + 2.14119i 0.715965 + 0.107871i
\(395\) −4.72332 + 1.95646i −0.237656 + 0.0984403i
\(396\) 0.312524 + 3.32857i 0.0157049 + 0.167267i
\(397\) 6.58383 15.8948i 0.330433 0.797736i −0.668125 0.744049i \(-0.732903\pi\)
0.998558 0.0536868i \(-0.0170973\pi\)
\(398\) 3.98930 + 16.0816i 0.199965 + 0.806096i
\(399\) 2.87961i 0.144161i
\(400\) −6.87152 36.2703i −0.343576 1.81351i
\(401\) 24.3608i 1.21652i −0.793737 0.608261i \(-0.791868\pi\)
0.793737 0.608261i \(-0.208132\pi\)
\(402\) 2.62158 0.650326i 0.130752 0.0324353i
\(403\) 7.57257 18.2818i 0.377216 0.910681i
\(404\) −17.7627 + 21.4438i −0.883725 + 1.06687i
\(405\) 36.2978 15.0350i 1.80365 0.747097i
\(406\) 0.746175 4.95252i 0.0370320 0.245789i
\(407\) −2.12345 2.12345i −0.105256 0.105256i
\(408\) −15.1064 + 31.3830i −0.747880 + 1.55369i
\(409\) 17.0589 17.0589i 0.843511 0.843511i −0.145803 0.989314i \(-0.546577\pi\)
0.989314 + 0.145803i \(0.0465766\pi\)
\(410\) −22.7539 30.8266i −1.12373 1.52242i
\(411\) −10.9245 26.3740i −0.538865 1.30094i
\(412\) 34.0236 + 10.4905i 1.67622 + 0.516831i
\(413\) −8.04349 3.33172i −0.395794 0.163943i
\(414\) 3.12274 + 1.88139i 0.153474 + 0.0924650i
\(415\) −16.1707 −0.793790
\(416\) −35.9861 + 1.35707i −1.76436 + 0.0665360i
\(417\) −7.29316 −0.357147
\(418\) −5.24982 3.16291i −0.256777 0.154703i
\(419\) 36.6700 + 15.1892i 1.79145 + 0.742043i 0.989479 + 0.144679i \(0.0462149\pi\)
0.801970 + 0.597364i \(0.203785\pi\)
\(420\) 4.20965 13.6530i 0.205410 0.666200i
\(421\) 10.1569 + 24.5210i 0.495018 + 1.19508i 0.952136 + 0.305673i \(0.0988815\pi\)
−0.457119 + 0.889406i \(0.651118\pi\)
\(422\) −4.23795 5.74152i −0.206300 0.279493i
\(423\) 3.89887 3.89887i 0.189569 0.189569i
\(424\) 10.4228 3.64917i 0.506178 0.177219i
\(425\) −42.4328 42.4328i −2.05829 2.05829i
\(426\) −4.02149 + 26.6915i −0.194842 + 1.29321i
\(427\) 2.34669 0.972032i 0.113564 0.0470399i
\(428\) 15.4148 + 12.7686i 0.745101 + 0.617193i
\(429\) −13.1497 + 31.7463i −0.634876 + 1.53273i
\(430\) −25.1536 + 6.23977i −1.21302 + 0.300909i
\(431\) 32.7133i 1.57575i 0.615838 + 0.787873i \(0.288818\pi\)
−0.615838 + 0.787873i \(0.711182\pi\)
\(432\) 17.8983 + 3.73011i 0.861133 + 0.179465i
\(433\) 21.4556i 1.03109i 0.856862 + 0.515546i \(0.172411\pi\)
−0.856862 + 0.515546i \(0.827589\pi\)
\(434\) 1.05840 + 4.26661i 0.0508050 + 0.204804i
\(435\) 9.68154 23.3733i 0.464194 1.12066i
\(436\) 11.7842 1.10643i 0.564359 0.0529885i
\(437\) −6.17480 + 2.55769i −0.295381 + 0.122351i
\(438\) −12.6642 1.90806i −0.605120 0.0911709i
\(439\) −9.15202 9.15202i −0.436802 0.436802i 0.454132 0.890934i \(-0.349949\pi\)
−0.890934 + 0.454132i \(0.849949\pi\)
\(440\) −20.2671 22.6708i −0.966194 1.08079i
\(441\) 0.414709 0.414709i 0.0197480 0.0197480i
\(442\) −47.0989 + 34.7649i −2.24027 + 1.65360i
\(443\) −12.9884 31.3568i −0.617098 1.48981i −0.855059 0.518531i \(-0.826479\pi\)
0.237961 0.971275i \(-0.423521\pi\)
\(444\) 3.52801 1.86514i 0.167432 0.0885154i
\(445\) −44.3282 18.3613i −2.10136 0.870411i
\(446\) 16.4711 27.3389i 0.779930 1.29454i
\(447\) 7.90199 0.373751
\(448\) 6.25290 4.99012i 0.295422 0.235761i
\(449\) 26.1852 1.23576 0.617878 0.786274i \(-0.287993\pi\)
0.617878 + 0.786274i \(0.287993\pi\)
\(450\) 3.95019 6.55657i 0.186214 0.309080i
\(451\) −18.9128 7.83394i −0.890570 0.368886i
\(452\) 16.8230 8.89375i 0.791288 0.418327i
\(453\) 7.36928 + 17.7910i 0.346239 + 0.835894i
\(454\) 17.4586 12.8866i 0.819375 0.604800i
\(455\) 16.9800 16.9800i 0.796036 0.796036i
\(456\) 6.07213 5.42831i 0.284354 0.254204i
\(457\) 16.4774 + 16.4774i 0.770779 + 0.770779i 0.978243 0.207464i \(-0.0665210\pi\)
−0.207464 + 0.978243i \(0.566521\pi\)
\(458\) 21.3059 + 3.21007i 0.995558 + 0.149997i
\(459\) 27.4579 11.3734i 1.28163 0.530867i
\(460\) −33.0154 + 3.09987i −1.53935 + 0.144532i
\(461\) 9.17008 22.1385i 0.427093 1.03109i −0.553112 0.833107i \(-0.686560\pi\)
0.980205 0.197987i \(-0.0634403\pi\)
\(462\) −1.83791 7.40896i −0.0855075 0.344696i
\(463\) 8.92132i 0.414609i −0.978276 0.207304i \(-0.933531\pi\)
0.978276 0.207304i \(-0.0664690\pi\)
\(464\) 11.8498 7.76248i 0.550113 0.360364i
\(465\) 22.2052i 1.02974i
\(466\) −26.1827 + 6.49505i −1.21289 + 0.300878i
\(467\) −2.23397 + 5.39328i −0.103376 + 0.249571i −0.967101 0.254391i \(-0.918125\pi\)
0.863726 + 0.503962i \(0.168125\pi\)
\(468\) −5.75055 4.76338i −0.265819 0.220187i
\(469\) −0.931743 + 0.385940i −0.0430239 + 0.0178211i
\(470\) −7.47198 + 49.5931i −0.344657 + 2.28756i
\(471\) 21.1816 + 21.1816i 0.975998 + 0.975998i
\(472\) −8.13718 23.2416i −0.374544 1.06978i
\(473\) −9.79102 + 9.79102i −0.450192 + 0.450192i
\(474\) −2.15569 2.92049i −0.0990140 0.134143i
\(475\) 5.37016 + 12.9647i 0.246400 + 0.594862i
\(476\) 3.83172 12.4273i 0.175627 0.569605i
\(477\) 2.11555 + 0.876288i 0.0968643 + 0.0401225i
\(478\) −26.8398 16.1704i −1.22762 0.739618i
\(479\) 20.8530 0.952798 0.476399 0.879229i \(-0.341942\pi\)
0.476399 + 0.879229i \(0.341942\pi\)
\(480\) 36.7252 16.8604i 1.67627 0.769568i
\(481\) 6.70735 0.305829
\(482\) −2.24149 1.35045i −0.102097 0.0615114i
\(483\) −7.69056 3.18553i −0.349932 0.144947i
\(484\) 5.49737 + 1.69501i 0.249880 + 0.0770458i
\(485\) 1.45948 + 3.52349i 0.0662714 + 0.159993i
\(486\) 5.04983 + 6.84143i 0.229065 + 0.310334i
\(487\) −30.4637 + 30.4637i −1.38044 + 1.38044i −0.536618 + 0.843826i \(0.680298\pi\)
−0.843826 + 0.536618i \(0.819702\pi\)
\(488\) 6.47340 + 3.11602i 0.293037 + 0.141056i
\(489\) −8.98924 8.98924i −0.406508 0.406508i
\(490\) −0.794768 + 5.27504i −0.0359040 + 0.238302i
\(491\) 23.7425 9.83448i 1.07149 0.443824i 0.223971 0.974596i \(-0.428098\pi\)
0.847515 + 0.530772i \(0.178098\pi\)
\(492\) 17.3536 20.9500i 0.782361 0.944499i
\(493\) 8.81237 21.2749i 0.396889 0.958175i
\(494\) 13.2866 3.29597i 0.597794 0.148293i
\(495\) 6.30548i 0.283410i
\(496\) −7.00166 + 10.2747i −0.314384 + 0.461349i
\(497\) 10.0785i 0.452084i
\(498\) −2.76436 11.1436i −0.123874 0.499358i
\(499\) −11.1328 + 26.8768i −0.498370 + 1.20317i 0.451990 + 0.892023i \(0.350714\pi\)
−0.950361 + 0.311150i \(0.899286\pi\)
\(500\) 2.98236 + 31.7638i 0.133375 + 1.42052i
\(501\) −19.8124 + 8.20658i −0.885155 + 0.366643i
\(502\) −3.19426 0.481266i −0.142567 0.0214800i
\(503\) 7.03053 + 7.03053i 0.313476 + 0.313476i 0.846255 0.532779i \(-0.178852\pi\)
−0.532779 + 0.846255i \(0.678852\pi\)
\(504\) 1.65624 + 0.0927201i 0.0737748 + 0.00413008i
\(505\) 37.1354 37.1354i 1.65251 1.65251i
\(506\) −14.2547 + 10.5217i −0.633698 + 0.467748i
\(507\) −19.9490 48.1611i −0.885965 2.13891i
\(508\) −6.15941 11.6509i −0.273279 0.516923i
\(509\) 28.9939 + 12.0097i 1.28513 + 0.532319i 0.917531 0.397664i \(-0.130179\pi\)
0.367602 + 0.929983i \(0.380179\pi\)
\(510\) 33.9000 56.2675i 1.50112 2.49157i
\(511\) 4.78193 0.211540
\(512\) 22.3097 + 3.77845i 0.985959 + 0.166986i
\(513\) −6.94999 −0.306849
\(514\) −18.1263 + 30.0862i −0.799518 + 1.32705i
\(515\) −62.0399 25.6978i −2.73381 1.13238i
\(516\) −8.59994 16.2673i −0.378591 0.716126i
\(517\) 10.2544 + 24.7563i 0.450988 + 1.08878i
\(518\) −1.19883 + 0.884886i −0.0526736 + 0.0388797i
\(519\) −18.3744 + 18.3744i −0.806548 + 0.806548i
\(520\) 67.8139 + 3.79637i 2.97384 + 0.166482i
\(521\) 3.80750 + 3.80750i 0.166810 + 0.166810i 0.785575 0.618766i \(-0.212367\pi\)
−0.618766 + 0.785575i \(0.712367\pi\)
\(522\) 2.90458 + 0.437621i 0.127130 + 0.0191542i
\(523\) 37.8891 15.6942i 1.65678 0.686259i 0.658952 0.752185i \(-0.271000\pi\)
0.997825 + 0.0659260i \(0.0210001\pi\)
\(524\) 1.66563 + 17.7400i 0.0727635 + 0.774974i
\(525\) −6.68841 + 16.1472i −0.291906 + 0.704723i
\(526\) −5.60813 22.6074i −0.244526 0.985728i
\(527\) 20.2117i 0.880436i
\(528\) 12.1584 17.8420i 0.529125 0.776475i
\(529\) 3.67962i 0.159983i
\(530\) −20.2154 + 5.01476i −0.878100 + 0.217827i
\(531\) 1.95401 4.71740i 0.0847969 0.204718i
\(532\) −1.93994 + 2.34198i −0.0841072 + 0.101538i
\(533\) 42.2425 17.4974i 1.82972 0.757897i
\(534\) 5.07539 33.6864i 0.219634 1.45775i
\(535\) −26.6946 26.6946i −1.15411 1.15411i
\(536\) −2.57023 1.23720i −0.111017 0.0534389i
\(537\) −10.3883 + 10.3883i −0.448287 + 0.448287i
\(538\) 14.1816 + 19.2130i 0.611411 + 0.828331i
\(539\) 1.09072 + 2.63324i 0.0469808 + 0.113422i
\(540\) −32.9518 10.1600i −1.41802 0.437219i
\(541\) 19.0606 + 7.89516i 0.819480 + 0.339440i 0.752729 0.658330i \(-0.228737\pi\)
0.0667503 + 0.997770i \(0.478737\pi\)
\(542\) 14.5149 + 8.74494i 0.623470 + 0.375627i
\(543\) −12.6288 −0.541956
\(544\) 33.4281 15.3467i 1.43322 0.657985i
\(545\) −22.3234 −0.956228
\(546\) 14.6040 + 8.79862i 0.624995 + 0.376546i
\(547\) −35.6592 14.7705i −1.52468 0.631542i −0.546155 0.837684i \(-0.683909\pi\)
−0.978522 + 0.206142i \(0.933909\pi\)
\(548\) −8.88286 + 28.8095i −0.379457 + 1.23068i
\(549\) 0.570084 + 1.37630i 0.0243306 + 0.0587392i
\(550\) 22.0916 + 29.9294i 0.941990 + 1.27619i
\(551\) −3.80776 + 3.80776i −0.162216 + 0.162216i
\(552\) −7.78013 22.2218i −0.331144 0.945822i
\(553\) 0.958367 + 0.958367i 0.0407539 + 0.0407539i
\(554\) −2.92917 + 19.4415i −0.124449 + 0.825991i
\(555\) −6.95373 + 2.88033i −0.295169 + 0.122263i
\(556\) 5.93150 + 4.91326i 0.251551 + 0.208369i
\(557\) −3.70225 + 8.93802i −0.156869 + 0.378716i −0.982701 0.185201i \(-0.940706\pi\)
0.825831 + 0.563917i \(0.190706\pi\)
\(558\) −2.50231 + 0.620739i −0.105931 + 0.0262780i
\(559\) 30.9269i 1.30807i
\(560\) −12.6215 + 8.26800i −0.533355 + 0.349387i
\(561\) 35.0976i 1.48182i
\(562\) 0.985929 + 3.97445i 0.0415889 + 0.167652i
\(563\) −1.96106 + 4.73442i −0.0826489 + 0.199532i −0.959802 0.280680i \(-0.909440\pi\)
0.877153 + 0.480212i \(0.159440\pi\)
\(564\) −35.4531 + 3.32874i −1.49284 + 0.140165i
\(565\) −33.1583 + 13.7346i −1.39498 + 0.577820i
\(566\) −22.1863 3.34271i −0.932558 0.140505i
\(567\) −7.36487 7.36487i −0.309295 0.309295i
\(568\) 21.2522 18.9989i 0.891723 0.797175i
\(569\) −17.5386 + 17.5386i −0.735257 + 0.735257i −0.971656 0.236399i \(-0.924033\pi\)
0.236399 + 0.971656i \(0.424033\pi\)
\(570\) −12.3593 + 9.12271i −0.517675 + 0.382108i
\(571\) 3.64399 + 8.79737i 0.152496 + 0.368158i 0.981603 0.190931i \(-0.0611508\pi\)
−0.829107 + 0.559090i \(0.811151\pi\)
\(572\) 32.0815 16.9604i 1.34140 0.709150i
\(573\) 30.7658 + 12.7436i 1.28526 + 0.532371i
\(574\) −5.24177 + 8.70034i −0.218787 + 0.363145i
\(575\) 40.5654 1.69170
\(576\) 2.92664 + 3.66724i 0.121943 + 0.152802i
\(577\) −6.47657 −0.269623 −0.134812 0.990871i \(-0.543043\pi\)
−0.134812 + 0.990871i \(0.543043\pi\)
\(578\) 18.4497 30.6231i 0.767408 1.27375i
\(579\) 0.784280 + 0.324860i 0.0325936 + 0.0135007i
\(580\) −23.6201 + 12.4871i −0.980773 + 0.518501i
\(581\) 1.64053 + 3.96059i 0.0680607 + 0.164313i
\(582\) −2.17862 + 1.60809i −0.0903068 + 0.0666577i
\(583\) −7.86882 + 7.86882i −0.325893 + 0.325893i
\(584\) 9.01434 + 10.0835i 0.373016 + 0.417257i
\(585\) 9.95855 + 9.95855i 0.411735 + 0.411735i
\(586\) 11.0255 + 1.66117i 0.455460 + 0.0686222i
\(587\) 7.60776 3.15124i 0.314006 0.130066i −0.220114 0.975474i \(-0.570643\pi\)
0.534120 + 0.845409i \(0.320643\pi\)
\(588\) −3.77102 + 0.354067i −0.155514 + 0.0146015i
\(589\) 1.80873 4.36667i 0.0745276 0.179925i
\(590\) 11.1823 + 45.0777i 0.460367 + 1.85582i
\(591\) 19.2457i 0.791663i
\(592\) −4.12582 0.859845i −0.169570 0.0353394i
\(593\) 38.8581i 1.59571i 0.602849 + 0.797856i \(0.294032\pi\)
−0.602849 + 0.797856i \(0.705968\pi\)
\(594\) −17.8816 + 4.43583i −0.733692 + 0.182004i
\(595\) −9.38626 + 22.6604i −0.384799 + 0.928988i
\(596\) −6.42666 5.32343i −0.263246 0.218056i
\(597\) 20.4989 8.49092i 0.838964 0.347510i
\(598\) 5.89564 39.1306i 0.241091 1.60017i
\(599\) 0.339367 + 0.339367i 0.0138662 + 0.0138662i 0.714006 0.700140i \(-0.246879\pi\)
−0.700140 + 0.714006i \(0.746879\pi\)
\(600\) −46.6573 + 16.3353i −1.90478 + 0.666886i
\(601\) −4.77407 + 4.77407i −0.194738 + 0.194738i −0.797740 0.603002i \(-0.793971\pi\)
0.603002 + 0.797740i \(0.293971\pi\)
\(602\) 4.08012 + 5.52768i 0.166293 + 0.225291i
\(603\) −0.226349 0.546455i −0.00921764 0.0222533i
\(604\) 5.99207 19.4339i 0.243814 0.790754i
\(605\) −10.0241 4.15212i −0.407538 0.168808i
\(606\) 31.9391 + 19.2427i 1.29744 + 0.781679i
\(607\) 31.9217 1.29566 0.647832 0.761783i \(-0.275676\pi\)
0.647832 + 0.761783i \(0.275676\pi\)
\(608\) −8.59540 + 0.324142i −0.348589 + 0.0131457i
\(609\) −6.70687 −0.271776
\(610\) −11.6064 6.99259i −0.469928 0.283122i
\(611\) −55.2941 22.9036i −2.23696 0.926579i
\(612\) 7.28846 + 2.24725i 0.294618 + 0.0908399i
\(613\) −3.16436 7.63944i −0.127807 0.308554i 0.847004 0.531587i \(-0.178404\pi\)
−0.974811 + 0.223033i \(0.928404\pi\)
\(614\) 10.0223 + 13.5780i 0.404466 + 0.547965i
\(615\) −36.2803 + 36.2803i −1.46296 + 1.46296i
\(616\) −3.49651 + 7.26384i −0.140878 + 0.292669i
\(617\) 1.83328 + 1.83328i 0.0738050 + 0.0738050i 0.743046 0.669241i \(-0.233380\pi\)
−0.669241 + 0.743046i \(0.733380\pi\)
\(618\) 7.10331 47.1461i 0.285737 1.89650i
\(619\) 13.9279 5.76910i 0.559808 0.231880i −0.0847941 0.996398i \(-0.527023\pi\)
0.644602 + 0.764519i \(0.277023\pi\)
\(620\) 14.9593 18.0594i 0.600778 0.725284i
\(621\) −7.68833 + 18.5613i −0.308522 + 0.744838i
\(622\) 23.9911 5.95139i 0.961956 0.238629i
\(623\) 12.7198i 0.509607i
\(624\) 8.97651 + 47.3811i 0.359348 + 1.89676i
\(625\) 14.0276i 0.561105i
\(626\) 1.09419 + 4.41088i 0.0437326 + 0.176294i
\(627\) −3.14086 + 7.58271i −0.125434 + 0.302824i
\(628\) −2.95727 31.4966i −0.118008 1.25685i
\(629\) −6.32945 + 2.62174i −0.252372 + 0.104536i
\(630\) −3.09374 0.466121i −0.123258 0.0185707i
\(631\) 33.2420 + 33.2420i 1.32334 + 1.32334i 0.911054 + 0.412288i \(0.135270\pi\)
0.412288 + 0.911054i \(0.364730\pi\)
\(632\) −0.214271 + 3.82747i −0.00852323 + 0.152249i
\(633\) −6.75727 + 6.75727i −0.268577 + 0.268577i
\(634\) 22.4431 16.5658i 0.891331 0.657913i
\(635\) 9.51197 + 22.9639i 0.377471 + 0.911296i
\(636\) −6.91157 13.0736i −0.274062 0.518403i
\(637\) −5.88144 2.43617i −0.233031 0.0965246i
\(638\) −7.36668 + 12.2273i −0.291650 + 0.484083i
\(639\) 5.91092 0.233832
\(640\) −41.2270 11.0286i −1.62964 0.435944i
\(641\) 44.2904 1.74936 0.874682 0.484696i \(-0.161070\pi\)
0.874682 + 0.484696i \(0.161070\pi\)
\(642\) 13.8325 22.9593i 0.545924 0.906131i
\(643\) −4.35374 1.80338i −0.171695 0.0711184i 0.295180 0.955442i \(-0.404620\pi\)
−0.466875 + 0.884323i \(0.654620\pi\)
\(644\) 4.10867 + 7.77177i 0.161904 + 0.306251i
\(645\) 13.2809 + 32.0629i 0.522935 + 1.26248i
\(646\) −11.2497 + 8.30371i −0.442615 + 0.326705i
\(647\) 14.5955 14.5955i 0.573809 0.573809i −0.359382 0.933191i \(-0.617012\pi\)
0.933191 + 0.359382i \(0.117012\pi\)
\(648\) 1.64663 29.4134i 0.0646857 1.15547i
\(649\) 17.5465 + 17.5465i 0.688759 + 0.688759i
\(650\) −82.1594 12.3786i −3.22256 0.485529i
\(651\) 5.43858 2.25273i 0.213155 0.0882916i
\(652\) 1.25503 + 13.3668i 0.0491508 + 0.523485i
\(653\) 2.00624 4.84348i 0.0785101 0.189540i −0.879751 0.475435i \(-0.842291\pi\)
0.958261 + 0.285895i \(0.0922908\pi\)
\(654\) −3.81614 15.3835i −0.149223 0.601544i
\(655\) 33.6058i 1.31309i
\(656\) −28.2272 + 5.34774i −1.10209 + 0.208794i
\(657\) 2.80454i 0.109415i
\(658\) 12.9045 3.20119i 0.503072 0.124795i
\(659\) −8.06628 + 19.4737i −0.314218 + 0.758588i 0.685322 + 0.728240i \(0.259662\pi\)
−0.999539 + 0.0303479i \(0.990338\pi\)
\(660\) −25.9767 + 31.3601i −1.01114 + 1.22069i
\(661\) −15.5918 + 6.45832i −0.606449 + 0.251199i −0.664709 0.747102i \(-0.731445\pi\)
0.0582603 + 0.998301i \(0.481445\pi\)
\(662\) −1.22657 + 8.14097i −0.0476718 + 0.316408i
\(663\) 55.4314 + 55.4314i 2.15278 + 2.15278i
\(664\) −5.25901 + 10.9254i −0.204089 + 0.423987i
\(665\) 4.05574 4.05574i 0.157275 0.157275i
\(666\) −0.518974 0.703098i −0.0201098 0.0272445i
\(667\) 5.95707 + 14.3816i 0.230659 + 0.556859i
\(668\) 21.6420 + 6.67290i 0.837355 + 0.258182i
\(669\) −39.4876 16.3563i −1.52668 0.632372i
\(670\) 4.60825 + 2.77637i 0.178032 + 0.107261i
\(671\) −7.23962 −0.279483
\(672\) −7.85529 7.28436i −0.303025 0.281000i
\(673\) 6.90473 0.266158 0.133079 0.991105i \(-0.457514\pi\)
0.133079 + 0.991105i \(0.457514\pi\)
\(674\) −2.32418 1.40027i −0.0895240 0.0539363i
\(675\) 38.9716 + 16.1426i 1.50002 + 0.621327i
\(676\) −16.2208 + 52.6085i −0.623878 + 2.02340i
\(677\) 8.66082 + 20.9091i 0.332863 + 0.803601i 0.998363 + 0.0572034i \(0.0182184\pi\)
−0.665500 + 0.746398i \(0.731782\pi\)
\(678\) −15.1332 20.5022i −0.581187 0.787384i
\(679\) 0.714920 0.714920i 0.0274361 0.0274361i
\(680\) −65.4771 + 22.9244i −2.51093 + 0.879110i
\(681\) −20.5473 20.5473i −0.787375 0.787375i
\(682\) 1.86666 12.3894i 0.0714782 0.474416i
\(683\) 40.8415 16.9171i 1.56276 0.647315i 0.577190 0.816610i \(-0.304149\pi\)
0.985565 + 0.169295i \(0.0541490\pi\)
\(684\) −1.37354 1.13775i −0.0525186 0.0435030i
\(685\) 21.7596 52.5324i 0.831393 2.00716i
\(686\) 1.37261 0.340499i 0.0524065 0.0130003i
\(687\) 28.8531i 1.10082i
\(688\) −3.96466 + 19.0237i −0.151151 + 0.725273i
\(689\) 24.8552i 0.946908i
\(690\) 10.6916 + 43.0998i 0.407023 + 1.64078i
\(691\) 15.1372 36.5445i 0.575847 1.39022i −0.320662 0.947194i \(-0.603905\pi\)
0.896509 0.443025i \(-0.146095\pi\)
\(692\) 27.3224 2.56534i 1.03864 0.0975195i
\(693\) −1.54436 + 0.639695i −0.0586654 + 0.0243000i
\(694\) −31.6743 4.77223i −1.20234 0.181151i
\(695\) −10.2719 10.2719i −0.389636 0.389636i
\(696\) −12.6430 14.1425i −0.479232 0.536071i
\(697\) −33.0232 + 33.0232i −1.25084 + 1.25084i
\(698\) 17.1875 12.6865i 0.650557 0.480192i
\(699\) 13.8242 + 33.3747i 0.522881 + 1.26235i
\(700\) 16.3178 8.62663i 0.616753 0.326056i
\(701\) 2.60607 + 1.07947i 0.0984300 + 0.0407710i 0.431355 0.902182i \(-0.358036\pi\)
−0.332925 + 0.942953i \(0.608036\pi\)
\(702\) 21.2356 35.2470i 0.801485 1.33031i
\(703\) 1.60207 0.0604233
\(704\) −21.9082 + 6.32000i −0.825697 + 0.238194i
\(705\) 67.1607 2.52942
\(706\) 13.0426 21.6483i 0.490865 0.814743i
\(707\) −12.8628 5.32793i −0.483754 0.200377i
\(708\) −29.1525 + 15.4119i −1.09562 + 0.579216i
\(709\) 4.98958 + 12.0459i 0.187387 + 0.452393i 0.989455 0.144840i \(-0.0462667\pi\)
−0.802068 + 0.597233i \(0.796267\pi\)
\(710\) −43.2571 + 31.9291i −1.62341 + 1.19828i
\(711\) −0.562069 + 0.562069i −0.0210792 + 0.0210792i
\(712\) −26.8217 + 23.9778i −1.00519 + 0.898608i
\(713\) −9.66114 9.66114i −0.361812 0.361812i
\(714\) −17.2204 2.59453i −0.644457 0.0970977i
\(715\) −63.2330 + 26.1919i −2.36478 + 0.979523i
\(716\) 15.4471 1.45035i 0.577286 0.0542023i
\(717\) −16.0577 + 38.7668i −0.599686 + 1.44777i
\(718\) −6.43104 25.9247i −0.240004 0.967500i
\(719\) 44.0500i 1.64279i −0.570361 0.821394i \(-0.693197\pi\)
0.570361 0.821394i \(-0.306803\pi\)
\(720\) −4.84907 7.40233i −0.180714 0.275869i
\(721\) 17.8021i 0.662984i
\(722\) −22.9060 + 5.68222i −0.852475 + 0.211470i
\(723\) −1.34104 + 3.23756i −0.0498738 + 0.120406i
\(724\) 10.2710 + 8.50782i 0.381718 + 0.316191i
\(725\) 30.1960 12.5076i 1.12145 0.464520i
\(726\) 1.14772 7.61765i 0.0425958 0.282717i
\(727\) −26.8897 26.8897i −0.997284 0.997284i 0.00271192 0.999996i \(-0.499137\pi\)
−0.999996 + 0.00271192i \(0.999137\pi\)
\(728\) −5.94994 16.9944i −0.220519 0.629853i
\(729\) −14.0428 + 14.0428i −0.520105 + 0.520105i
\(730\) −15.1493 20.5241i −0.560701 0.759630i
\(731\) 12.0886 + 29.1844i 0.447113 + 1.07943i
\(732\) 2.83467 9.19359i 0.104772 0.339805i
\(733\) −42.4092 17.5665i −1.56642 0.648833i −0.580231 0.814452i \(-0.697038\pi\)
−0.986190 + 0.165619i \(0.947038\pi\)
\(734\) −22.8660 13.7763i −0.844001 0.508493i
\(735\) 7.14364 0.263497
\(736\) −8.64286 + 23.3142i −0.318580 + 0.859374i
\(737\) 2.87446 0.105882
\(738\) −5.10263 3.07423i −0.187830 0.113164i
\(739\) 26.7969 + 11.0996i 0.985741 + 0.408307i 0.816549 0.577276i \(-0.195884\pi\)
0.169192 + 0.985583i \(0.445884\pi\)
\(740\) 7.59587 + 2.34204i 0.279230 + 0.0860951i
\(741\) −7.01523 16.9363i −0.257711 0.622169i
\(742\) 3.27909 + 4.44247i 0.120379 + 0.163088i
\(743\) −14.7166 + 14.7166i −0.539898 + 0.539898i −0.923499 0.383601i \(-0.874684\pi\)
0.383601 + 0.923499i \(0.374684\pi\)
\(744\) 15.0024 + 7.22154i 0.550016 + 0.264754i
\(745\) 11.1294 + 11.1294i 0.407750 + 0.407750i
\(746\) 2.00629 13.3162i 0.0734555 0.487539i
\(747\) −2.32283 + 0.962149i −0.0849880 + 0.0352032i
\(748\) −23.6446 + 28.5448i −0.864533 + 1.04370i
\(749\) −3.82995 + 9.24632i −0.139943 + 0.337853i
\(750\) 41.4659 10.2863i 1.51412 0.375603i
\(751\) 29.3838i 1.07223i 0.844145 + 0.536115i \(0.180109\pi\)
−0.844145 + 0.536115i \(0.819891\pi\)
\(752\) 31.0764 + 21.1768i 1.13324 + 0.772240i
\(753\) 4.32578i 0.157640i
\(754\) −7.67660 30.9457i −0.279565 1.12698i
\(755\) −14.6783 + 35.4365i −0.534198 + 1.28967i
\(756\) 0.854545 + 9.10140i 0.0310795 + 0.331015i
\(757\) −7.94268 + 3.28997i −0.288682 + 0.119576i −0.522325 0.852746i \(-0.674935\pi\)
0.233643 + 0.972322i \(0.424935\pi\)
\(758\) 22.7430 + 3.42660i 0.826065 + 0.124460i
\(759\) 16.7765 + 16.7765i 0.608950 + 0.608950i
\(760\) 16.1976 + 0.906777i 0.587548 + 0.0328923i
\(761\) 36.8949 36.8949i 1.33744 1.33744i 0.438904 0.898534i \(-0.355367\pi\)
0.898534 0.438904i \(-0.144633\pi\)
\(762\) −14.1989 + 10.4806i −0.514373 + 0.379671i
\(763\) 2.26472 + 5.46751i 0.0819883 + 0.197937i
\(764\) −16.4365 31.0906i −0.594653 1.12482i
\(765\) −13.2900 5.50492i −0.480503 0.199031i
\(766\) 6.71895 11.1522i 0.242766 0.402945i
\(767\) −55.4239 −2.00124
\(768\) 0.552373 30.2958i 0.0199321 1.09321i
\(769\) −1.28218 −0.0462366 −0.0231183 0.999733i \(-0.507359\pi\)
−0.0231183 + 0.999733i \(0.507359\pi\)
\(770\) 7.84643 13.0236i 0.282766 0.469337i
\(771\) 43.4558 + 18.0000i 1.56502 + 0.648254i
\(772\) −0.419000 0.792562i −0.0150802 0.0285249i
\(773\) −18.6769 45.0901i −0.671763 1.62178i −0.778613 0.627504i \(-0.784077\pi\)
0.106850 0.994275i \(-0.465923\pi\)
\(774\) −3.24191 + 2.39293i −0.116528 + 0.0860122i