Properties

Label 70.2.k.a.17.1
Level $70$
Weight $2$
Character 70.17
Analytic conductor $0.559$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 70 = 2 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 70.k (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.558952814149\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} + \cdots)\)
Defining polynomial: \(x^{16} + 10 x^{14} + 61 x^{12} + 266 x^{10} + 852 x^{8} + 1438 x^{6} + 1933 x^{4} + 3038 x^{2} + 2401\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 17.1
Root \(-0.587308 + 2.01725i\) of defining polynomial
Character \(\chi\) \(=\) 70.17
Dual form 70.2.k.a.33.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 + 0.965926i) q^{2} +(-2.80762 + 0.752300i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-2.21323 + 0.318742i) q^{5} -2.90667i q^{6} +(0.559876 + 2.58583i) q^{7} +(0.707107 - 0.707107i) q^{8} +(4.71872 - 2.72435i) q^{9} +O(q^{10})\) \(q+(-0.258819 + 0.965926i) q^{2} +(-2.80762 + 0.752300i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-2.21323 + 0.318742i) q^{5} -2.90667i q^{6} +(0.559876 + 2.58583i) q^{7} +(0.707107 - 0.707107i) q^{8} +(4.71872 - 2.72435i) q^{9} +(0.264946 - 2.22032i) q^{10} +(-1.83557 + 3.17930i) q^{11} +(2.80762 + 0.752300i) q^{12} +(0.830578 + 0.830578i) q^{13} +(-2.64263 - 0.128464i) q^{14} +(5.97414 - 2.55992i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-0.204036 - 0.761471i) q^{17} +(1.41023 + 5.26305i) q^{18} +(1.09461 + 1.89593i) q^{19} +(2.07609 + 0.830578i) q^{20} +(-3.51725 - 6.83885i) q^{21} +(-2.59589 - 2.59589i) q^{22} +(-4.54529 - 1.21791i) q^{23} +(-1.45333 + 2.51725i) q^{24} +(4.79681 - 1.41090i) q^{25} +(-1.01725 + 0.587308i) q^{26} +(-5.03288 + 5.03288i) q^{27} +(0.808050 - 2.51934i) q^{28} +2.62236i q^{29} +(0.926476 + 6.43313i) q^{30} +(0.0359651 + 0.0207644i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(2.76180 - 10.3072i) q^{33} +0.788333 q^{34} +(-2.06335 - 5.54460i) q^{35} -5.44871 q^{36} +(0.0664979 - 0.248174i) q^{37} +(-2.11463 + 0.566614i) q^{38} +(-2.95680 - 1.70711i) q^{39} +(-1.33961 + 1.79038i) q^{40} +8.98026i q^{41} +(7.51616 - 1.62737i) q^{42} +(-0.474569 + 0.474569i) q^{43} +(3.17930 - 1.83557i) q^{44} +(-9.57526 + 7.53368i) q^{45} +(2.35282 - 4.07520i) q^{46} +(6.18205 + 1.65648i) q^{47} +(-2.05532 - 2.05532i) q^{48} +(-6.37308 + 2.89549i) q^{49} +(0.121320 + 4.99853i) q^{50} +(1.14571 + 1.98443i) q^{51} +(-0.304013 - 1.13459i) q^{52} +(2.04824 + 7.64413i) q^{53} +(-3.55879 - 6.16400i) q^{54} +(3.04917 - 7.62161i) q^{55} +(2.22435 + 1.43257i) q^{56} +(-4.49957 - 4.49957i) q^{57} +(-2.53301 - 0.678717i) q^{58} +(5.35616 - 9.27713i) q^{59} +(-6.45372 - 0.770110i) q^{60} +(1.72539 - 0.996157i) q^{61} +(-0.0293654 + 0.0293654i) q^{62} +(9.68662 + 10.6765i) q^{63} -1.00000i q^{64} +(-2.10300 - 1.57352i) q^{65} +(9.24117 + 5.33539i) q^{66} +(6.39671 - 1.71399i) q^{67} +(-0.204036 + 0.761471i) q^{68} +13.6777 q^{69} +(5.88971 - 0.557996i) q^{70} +8.11777 q^{71} +(1.41023 - 5.26305i) q^{72} +(9.52910 - 2.55331i) q^{73} +(0.222506 + 0.128464i) q^{74} +(-12.4062 + 7.56992i) q^{75} -2.18923i q^{76} +(-9.24884 - 2.96647i) q^{77} +(2.41421 - 2.41421i) q^{78} +(-11.6145 + 6.70563i) q^{79} +(-1.38266 - 1.75735i) q^{80} +(2.17114 - 3.76053i) q^{81} +(-8.67427 - 2.32426i) q^{82} +(-9.73033 - 9.73033i) q^{83} +(-0.373402 + 7.68124i) q^{84} +(0.694291 + 1.62028i) q^{85} +(-0.335571 - 0.581226i) q^{86} +(-1.97280 - 7.36260i) q^{87} +(0.950161 + 3.54605i) q^{88} +(0.715130 + 1.23864i) q^{89} +(-4.79872 - 11.1989i) q^{90} +(-1.68272 + 2.61276i) q^{91} +(3.32739 + 3.32739i) q^{92} +(-0.116597 - 0.0312422i) q^{93} +(-3.20007 + 5.54268i) q^{94} +(-3.02695 - 3.84723i) q^{95} +(2.51725 - 1.45333i) q^{96} +(-3.16693 + 3.16693i) q^{97} +(-1.14736 - 6.90533i) q^{98} +20.0030i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 12q^{5} + 8q^{7} + O(q^{10}) \) \( 16q - 12q^{5} + 8q^{7} - 12q^{10} - 12q^{11} + 16q^{15} + 8q^{16} - 36q^{17} - 8q^{18} - 28q^{21} - 8q^{22} - 4q^{23} + 12q^{25} + 12q^{26} + 4q^{28} + 20q^{30} + 24q^{31} + 48q^{33} + 8q^{35} - 8q^{36} + 4q^{37} + 24q^{38} + 36q^{42} - 8q^{43} - 12q^{45} - 8q^{46} + 12q^{47} - 32q^{50} - 16q^{51} - 28q^{53} - 4q^{56} + 8q^{57} - 32q^{58} + 8q^{60} - 12q^{61} - 36q^{63} - 8q^{65} + 32q^{67} - 36q^{68} - 12q^{70} + 16q^{71} - 8q^{72} - 12q^{73} - 48q^{75} + 16q^{77} + 16q^{78} - 12q^{80} - 48q^{82} + 24q^{85} + 12q^{86} - 24q^{87} - 4q^{88} - 16q^{91} + 8q^{92} + 28q^{93} + 20q^{95} + 12q^{96} + 40q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/70\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(57\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 + 0.965926i −0.183013 + 0.683013i
\(3\) −2.80762 + 0.752300i −1.62098 + 0.434341i −0.951290 0.308298i \(-0.900241\pi\)
−0.669692 + 0.742639i \(0.733574\pi\)
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) −2.21323 + 0.318742i −0.989788 + 0.142546i
\(6\) 2.90667i 1.18664i
\(7\) 0.559876 + 2.58583i 0.211613 + 0.977353i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) 4.71872 2.72435i 1.57291 0.908118i
\(10\) 0.264946 2.22032i 0.0837833 0.702126i
\(11\) −1.83557 + 3.17930i −0.553445 + 0.958596i 0.444577 + 0.895741i \(0.353354\pi\)
−0.998023 + 0.0628551i \(0.979979\pi\)
\(12\) 2.80762 + 0.752300i 0.810491 + 0.217170i
\(13\) 0.830578 + 0.830578i 0.230361 + 0.230361i 0.812843 0.582482i \(-0.197918\pi\)
−0.582482 + 0.812843i \(0.697918\pi\)
\(14\) −2.64263 0.128464i −0.706273 0.0343335i
\(15\) 5.97414 2.55992i 1.54252 0.660970i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −0.204036 0.761471i −0.0494859 0.184684i 0.936759 0.349976i \(-0.113810\pi\)
−0.986245 + 0.165292i \(0.947143\pi\)
\(18\) 1.41023 + 5.26305i 0.332394 + 1.24051i
\(19\) 1.09461 + 1.89593i 0.251122 + 0.434955i 0.963835 0.266500i \(-0.0858673\pi\)
−0.712713 + 0.701455i \(0.752534\pi\)
\(20\) 2.07609 + 0.830578i 0.464227 + 0.185723i
\(21\) −3.51725 6.83885i −0.767526 1.49236i
\(22\) −2.59589 2.59589i −0.553445 0.553445i
\(23\) −4.54529 1.21791i −0.947759 0.253951i −0.248348 0.968671i \(-0.579888\pi\)
−0.699411 + 0.714719i \(0.746554\pi\)
\(24\) −1.45333 + 2.51725i −0.296660 + 0.513831i
\(25\) 4.79681 1.41090i 0.959361 0.282180i
\(26\) −1.01725 + 0.587308i −0.199498 + 0.115180i
\(27\) −5.03288 + 5.03288i −0.968579 + 0.968579i
\(28\) 0.808050 2.51934i 0.152707 0.476110i
\(29\) 2.62236i 0.486960i 0.969906 + 0.243480i \(0.0782891\pi\)
−0.969906 + 0.243480i \(0.921711\pi\)
\(30\) 0.926476 + 6.43313i 0.169151 + 1.17452i
\(31\) 0.0359651 + 0.0207644i 0.00645952 + 0.00372940i 0.503226 0.864155i \(-0.332146\pi\)
−0.496767 + 0.867884i \(0.665480\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) 2.76180 10.3072i 0.480768 1.79425i
\(34\) 0.788333 0.135198
\(35\) −2.06335 5.54460i −0.348770 0.937208i
\(36\) −5.44871 −0.908118
\(37\) 0.0664979 0.248174i 0.0109322 0.0407995i −0.960244 0.279161i \(-0.909944\pi\)
0.971176 + 0.238362i \(0.0766103\pi\)
\(38\) −2.11463 + 0.566614i −0.343038 + 0.0919169i
\(39\) −2.95680 1.70711i −0.473466 0.273356i
\(40\) −1.33961 + 1.79038i −0.211811 + 0.283083i
\(41\) 8.98026i 1.40248i 0.712925 + 0.701241i \(0.247370\pi\)
−0.712925 + 0.701241i \(0.752630\pi\)
\(42\) 7.51616 1.62737i 1.15977 0.251109i
\(43\) −0.474569 + 0.474569i −0.0723711 + 0.0723711i −0.742366 0.669995i \(-0.766296\pi\)
0.669995 + 0.742366i \(0.266296\pi\)
\(44\) 3.17930 1.83557i 0.479298 0.276723i
\(45\) −9.57526 + 7.53368i −1.42740 + 1.12306i
\(46\) 2.35282 4.07520i 0.346904 0.600855i
\(47\) 6.18205 + 1.65648i 0.901745 + 0.241622i 0.679766 0.733429i \(-0.262081\pi\)
0.221980 + 0.975051i \(0.428748\pi\)
\(48\) −2.05532 2.05532i −0.296660 0.296660i
\(49\) −6.37308 + 2.89549i −0.910440 + 0.413642i
\(50\) 0.121320 + 4.99853i 0.0171573 + 0.706899i
\(51\) 1.14571 + 1.98443i 0.160432 + 0.277876i
\(52\) −0.304013 1.13459i −0.0421590 0.157339i
\(53\) 2.04824 + 7.64413i 0.281347 + 1.05000i 0.951468 + 0.307749i \(0.0995758\pi\)
−0.670120 + 0.742252i \(0.733758\pi\)
\(54\) −3.55879 6.16400i −0.484289 0.838814i
\(55\) 3.04917 7.62161i 0.411150 1.02770i
\(56\) 2.22435 + 1.43257i 0.297242 + 0.191435i
\(57\) −4.49957 4.49957i −0.595982 0.595982i
\(58\) −2.53301 0.678717i −0.332600 0.0891199i
\(59\) 5.35616 9.27713i 0.697312 1.20778i −0.272083 0.962274i \(-0.587713\pi\)
0.969395 0.245506i \(-0.0789541\pi\)
\(60\) −6.45372 0.770110i −0.833171 0.0994207i
\(61\) 1.72539 0.996157i 0.220914 0.127545i −0.385459 0.922725i \(-0.625957\pi\)
0.606373 + 0.795180i \(0.292624\pi\)
\(62\) −0.0293654 + 0.0293654i −0.00372940 + 0.00372940i
\(63\) 9.68662 + 10.6765i 1.22040 + 1.34512i
\(64\) 1.00000i 0.125000i
\(65\) −2.10300 1.57352i −0.260846 0.195172i
\(66\) 9.24117 + 5.33539i 1.13751 + 0.656741i
\(67\) 6.39671 1.71399i 0.781482 0.209398i 0.154044 0.988064i \(-0.450770\pi\)
0.627438 + 0.778666i \(0.284103\pi\)
\(68\) −0.204036 + 0.761471i −0.0247430 + 0.0923420i
\(69\) 13.6777 1.64660
\(70\) 5.88971 0.557996i 0.703955 0.0666933i
\(71\) 8.11777 0.963402 0.481701 0.876336i \(-0.340019\pi\)
0.481701 + 0.876336i \(0.340019\pi\)
\(72\) 1.41023 5.26305i 0.166197 0.620256i
\(73\) 9.52910 2.55331i 1.11530 0.298843i 0.346318 0.938117i \(-0.387432\pi\)
0.768979 + 0.639274i \(0.220765\pi\)
\(74\) 0.222506 + 0.128464i 0.0258658 + 0.0149336i
\(75\) −12.4062 + 7.56992i −1.43255 + 0.874099i
\(76\) 2.18923i 0.251122i
\(77\) −9.24884 2.96647i −1.05400 0.338060i
\(78\) 2.41421 2.41421i 0.273356 0.273356i
\(79\) −11.6145 + 6.70563i −1.30673 + 0.754443i −0.981550 0.191208i \(-0.938760\pi\)
−0.325184 + 0.945651i \(0.605426\pi\)
\(80\) −1.38266 1.75735i −0.154586 0.196477i
\(81\) 2.17114 3.76053i 0.241238 0.417836i
\(82\) −8.67427 2.32426i −0.957912 0.256672i
\(83\) −9.73033 9.73033i −1.06804 1.06804i −0.997509 0.0705331i \(-0.977530\pi\)
−0.0705331 0.997509i \(-0.522470\pi\)
\(84\) −0.373402 + 7.68124i −0.0407415 + 0.838092i
\(85\) 0.694291 + 1.62028i 0.0753065 + 0.175744i
\(86\) −0.335571 0.581226i −0.0361855 0.0626752i
\(87\) −1.97280 7.36260i −0.211507 0.789354i
\(88\) 0.950161 + 3.54605i 0.101288 + 0.378010i
\(89\) 0.715130 + 1.23864i 0.0758036 + 0.131296i 0.901435 0.432914i \(-0.142514\pi\)
−0.825632 + 0.564209i \(0.809181\pi\)
\(90\) −4.79872 11.1989i −0.505829 1.18046i
\(91\) −1.68272 + 2.61276i −0.176397 + 0.273892i
\(92\) 3.32739 + 3.32739i 0.346904 + 0.346904i
\(93\) −0.116597 0.0312422i −0.0120906 0.00323967i
\(94\) −3.20007 + 5.54268i −0.330062 + 0.571684i
\(95\) −3.02695 3.84723i −0.310558 0.394717i
\(96\) 2.51725 1.45333i 0.256915 0.148330i
\(97\) −3.16693 + 3.16693i −0.321553 + 0.321553i −0.849363 0.527810i \(-0.823013\pi\)
0.527810 + 0.849363i \(0.323013\pi\)
\(98\) −1.14736 6.90533i −0.115901 0.697544i
\(99\) 20.0030i 2.01037i
\(100\) −4.85961 1.17653i −0.485961 0.117653i
\(101\) −0.0622734 0.0359536i −0.00619644 0.00357751i 0.496899 0.867809i \(-0.334472\pi\)
−0.503095 + 0.864231i \(0.667805\pi\)
\(102\) −2.21334 + 0.593063i −0.219154 + 0.0587220i
\(103\) −4.29116 + 16.0148i −0.422820 + 1.57799i 0.345817 + 0.938302i \(0.387602\pi\)
−0.768638 + 0.639685i \(0.779065\pi\)
\(104\) 1.17462 0.115180
\(105\) 9.96432 + 14.0149i 0.972418 + 1.36771i
\(106\) −7.91378 −0.768654
\(107\) 1.18265 4.41372i 0.114331 0.426690i −0.884905 0.465772i \(-0.845777\pi\)
0.999236 + 0.0390819i \(0.0124433\pi\)
\(108\) 6.87505 1.84216i 0.661552 0.177262i
\(109\) −15.6773 9.05131i −1.50162 0.866958i −0.999998 0.00186842i \(-0.999405\pi\)
−0.501617 0.865090i \(-0.667261\pi\)
\(110\) 6.57273 + 4.91789i 0.626685 + 0.468902i
\(111\) 0.746804i 0.0708835i
\(112\) −1.95946 + 1.77778i −0.185152 + 0.167985i
\(113\) 1.52064 1.52064i 0.143049 0.143049i −0.631955 0.775005i \(-0.717747\pi\)
0.775005 + 0.631955i \(0.217747\pi\)
\(114\) 5.51082 3.18168i 0.516136 0.297991i
\(115\) 10.4480 + 1.24674i 0.974281 + 0.116259i
\(116\) 1.31118 2.27103i 0.121740 0.210860i
\(117\) 6.18205 + 1.65648i 0.571531 + 0.153141i
\(118\) 7.57475 + 7.57475i 0.697312 + 0.697312i
\(119\) 1.85480 0.953932i 0.170030 0.0874468i
\(120\) 2.41421 6.03449i 0.220387 0.550871i
\(121\) −1.23864 2.14539i −0.112604 0.195035i
\(122\) 0.515649 + 1.92443i 0.0466846 + 0.174229i
\(123\) −6.75585 25.2132i −0.609155 2.27340i
\(124\) −0.0207644 0.0359651i −0.00186470 0.00322976i
\(125\) −10.1667 + 4.65160i −0.909341 + 0.416051i
\(126\) −12.8198 + 6.59327i −1.14208 + 0.587376i
\(127\) −13.2527 13.2527i −1.17599 1.17599i −0.980757 0.195234i \(-0.937453\pi\)
−0.195234 0.980757i \(-0.562547\pi\)
\(128\) 0.965926 + 0.258819i 0.0853766 + 0.0228766i
\(129\) 0.975392 1.68943i 0.0858785 0.148746i
\(130\) 2.06420 1.62409i 0.181043 0.142442i
\(131\) 12.2929 7.09731i 1.07404 0.620095i 0.144755 0.989468i \(-0.453761\pi\)
0.929281 + 0.369372i \(0.120427\pi\)
\(132\) −7.54538 + 7.54538i −0.656741 + 0.656741i
\(133\) −4.28970 + 3.89197i −0.371964 + 0.337477i
\(134\) 6.62236i 0.572085i
\(135\) 9.53476 12.7431i 0.820621 1.09675i
\(136\) −0.682717 0.394167i −0.0585425 0.0337995i
\(137\) 18.3201 4.90887i 1.56519 0.419393i 0.630891 0.775871i \(-0.282689\pi\)
0.934303 + 0.356479i \(0.116023\pi\)
\(138\) −3.54005 + 13.2117i −0.301349 + 1.12465i
\(139\) 8.23706 0.698658 0.349329 0.937000i \(-0.386409\pi\)
0.349329 + 0.937000i \(0.386409\pi\)
\(140\) −0.985385 + 5.83344i −0.0832803 + 0.493016i
\(141\) −18.6030 −1.56666
\(142\) −2.10103 + 7.84116i −0.176315 + 0.658016i
\(143\) −4.16524 + 1.11607i −0.348315 + 0.0933308i
\(144\) 4.71872 + 2.72435i 0.393227 + 0.227029i
\(145\) −0.835856 5.80390i −0.0694141 0.481988i
\(146\) 9.86525i 0.816454i
\(147\) 15.7149 12.9239i 1.29614 1.06595i
\(148\) −0.181676 + 0.181676i −0.0149336 + 0.0149336i
\(149\) 4.19317 2.42093i 0.343518 0.198330i −0.318309 0.947987i \(-0.603115\pi\)
0.661826 + 0.749657i \(0.269782\pi\)
\(150\) −4.10102 13.9427i −0.334847 1.13842i
\(151\) −5.02292 + 8.69995i −0.408759 + 0.707992i −0.994751 0.102325i \(-0.967372\pi\)
0.585992 + 0.810317i \(0.300705\pi\)
\(152\) 2.11463 + 0.566614i 0.171519 + 0.0459584i
\(153\) −3.03730 3.03730i −0.245551 0.245551i
\(154\) 5.25916 8.16592i 0.423795 0.658028i
\(155\) −0.0862176 0.0344930i −0.00692516 0.00277054i
\(156\) 1.70711 + 2.95680i 0.136678 + 0.236733i
\(157\) 6.33762 + 23.6523i 0.505797 + 1.88766i 0.458320 + 0.888788i \(0.348452\pi\)
0.0474774 + 0.998872i \(0.484882\pi\)
\(158\) −3.47109 12.9543i −0.276145 1.03059i
\(159\) −11.5014 19.9209i −0.912117 1.57983i
\(160\) 2.05532 0.880708i 0.162488 0.0696261i
\(161\) 0.604505 12.4353i 0.0476417 0.980035i
\(162\) 3.07046 + 3.07046i 0.241238 + 0.241238i
\(163\) 21.2171 + 5.68510i 1.66185 + 0.445291i 0.962895 0.269875i \(-0.0869823\pi\)
0.698954 + 0.715166i \(0.253649\pi\)
\(164\) 4.49013 7.77713i 0.350620 0.607292i
\(165\) −2.82718 + 23.6925i −0.220096 + 1.84446i
\(166\) 11.9172 6.88038i 0.924952 0.534021i
\(167\) −3.14616 + 3.14616i −0.243457 + 0.243457i −0.818279 0.574821i \(-0.805072\pi\)
0.574821 + 0.818279i \(0.305072\pi\)
\(168\) −7.32287 2.34873i −0.564972 0.181209i
\(169\) 11.6203i 0.893868i
\(170\) −1.74477 + 0.251275i −0.133817 + 0.0192719i
\(171\) 10.3303 + 5.96423i 0.789981 + 0.456096i
\(172\) 0.648273 0.173704i 0.0494304 0.0132448i
\(173\) −1.35273 + 5.04844i −0.102846 + 0.383826i −0.998092 0.0617463i \(-0.980333\pi\)
0.895246 + 0.445572i \(0.147000\pi\)
\(174\) 7.62233 0.577847
\(175\) 6.33397 + 11.6138i 0.478803 + 0.877922i
\(176\) −3.67114 −0.276723
\(177\) −8.05888 + 30.0761i −0.605742 + 2.26066i
\(178\) −1.38152 + 0.370178i −0.103550 + 0.0277460i
\(179\) 10.8847 + 6.28428i 0.813560 + 0.469709i 0.848191 0.529691i \(-0.177692\pi\)
−0.0346308 + 0.999400i \(0.511026\pi\)
\(180\) 12.0593 1.73673i 0.898844 0.129448i
\(181\) 11.6742i 0.867740i −0.900976 0.433870i \(-0.857148\pi\)
0.900976 0.433870i \(-0.142852\pi\)
\(182\) −2.08821 2.30161i −0.154789 0.170607i
\(183\) −4.09485 + 4.09485i −0.302700 + 0.302700i
\(184\) −4.07520 + 2.35282i −0.300428 + 0.173452i
\(185\) −0.0680721 + 0.570462i −0.00500476 + 0.0419412i
\(186\) 0.0603553 0.104538i 0.00442546 0.00766513i
\(187\) 2.79547 + 0.749044i 0.204425 + 0.0547755i
\(188\) −4.52558 4.52558i −0.330062 0.330062i
\(189\) −15.8320 10.1964i −1.15161 0.741680i
\(190\) 4.49957 1.92807i 0.326433 0.139877i
\(191\) −7.75170 13.4263i −0.560894 0.971496i −0.997419 0.0718040i \(-0.977124\pi\)
0.436525 0.899692i \(-0.356209\pi\)
\(192\) 0.752300 + 2.80762i 0.0542926 + 0.202623i
\(193\) 2.32883 + 8.69132i 0.167633 + 0.625615i 0.997690 + 0.0679359i \(0.0216413\pi\)
−0.830057 + 0.557679i \(0.811692\pi\)
\(194\) −2.23936 3.87868i −0.160776 0.278473i
\(195\) 7.08821 + 2.83577i 0.507597 + 0.203074i
\(196\) 6.96699 + 0.678966i 0.497642 + 0.0484976i
\(197\) 12.1951 + 12.1951i 0.868865 + 0.868865i 0.992347 0.123482i \(-0.0394061\pi\)
−0.123482 + 0.992347i \(0.539406\pi\)
\(198\) −19.3214 5.17715i −1.37311 0.367924i
\(199\) 4.36557 7.56140i 0.309467 0.536013i −0.668779 0.743462i \(-0.733183\pi\)
0.978246 + 0.207448i \(0.0665159\pi\)
\(200\) 2.39420 4.38951i 0.169295 0.310385i
\(201\) −16.6701 + 9.62450i −1.17582 + 0.678860i
\(202\) 0.0508460 0.0508460i 0.00357751 0.00357751i
\(203\) −6.78099 + 1.46820i −0.475932 + 0.103047i
\(204\) 2.29142i 0.160432i
\(205\) −2.86239 19.8754i −0.199918 1.38816i
\(206\) −14.3585 8.28988i −1.00040 0.577583i
\(207\) −24.7660 + 6.63602i −1.72135 + 0.461235i
\(208\) −0.304013 + 1.13459i −0.0210795 + 0.0786697i
\(209\) −8.03696 −0.555928
\(210\) −16.1163 + 5.99747i −1.11213 + 0.413865i
\(211\) −11.1745 −0.769288 −0.384644 0.923065i \(-0.625676\pi\)
−0.384644 + 0.923065i \(0.625676\pi\)
\(212\) 2.04824 7.64413i 0.140674 0.525001i
\(213\) −22.7916 + 6.10700i −1.56166 + 0.418445i
\(214\) 3.95723 + 2.28471i 0.270511 + 0.156179i
\(215\) 0.899067 1.20160i 0.0613158 0.0819482i
\(216\) 7.11757i 0.484289i
\(217\) −0.0335574 + 0.104625i −0.00227803 + 0.00710242i
\(218\) 12.8005 12.8005i 0.866958 0.866958i
\(219\) −24.8333 + 14.3375i −1.67808 + 0.968838i
\(220\) −6.45147 + 5.07592i −0.434958 + 0.342219i
\(221\) 0.462994 0.801929i 0.0311443 0.0539436i
\(222\) −0.721358 0.193287i −0.0484143 0.0129726i
\(223\) 0.746804 + 0.746804i 0.0500097 + 0.0500097i 0.731669 0.681660i \(-0.238742\pi\)
−0.681660 + 0.731669i \(0.738742\pi\)
\(224\) −1.21006 2.35282i −0.0808507 0.157204i
\(225\) 18.7910 19.7258i 1.25273 1.31506i
\(226\) 1.07525 + 1.86239i 0.0715247 + 0.123884i
\(227\) −0.807609 3.01404i −0.0536029 0.200049i 0.933932 0.357452i \(-0.116354\pi\)
−0.987534 + 0.157403i \(0.949688\pi\)
\(228\) 1.64696 + 6.14653i 0.109072 + 0.407064i
\(229\) 4.21091 + 7.29350i 0.278264 + 0.481968i 0.970954 0.239268i \(-0.0769075\pi\)
−0.692689 + 0.721236i \(0.743574\pi\)
\(230\) −3.90840 + 9.76931i −0.257712 + 0.644169i
\(231\) 28.1989 + 1.37081i 1.85535 + 0.0901928i
\(232\) 1.85429 + 1.85429i 0.121740 + 0.121740i
\(233\) 22.0201 + 5.90027i 1.44259 + 0.386540i 0.893439 0.449186i \(-0.148286\pi\)
0.549148 + 0.835725i \(0.314952\pi\)
\(234\) −3.20007 + 5.54268i −0.209195 + 0.362336i
\(235\) −14.2103 1.69569i −0.926979 0.110615i
\(236\) −9.27713 + 5.35616i −0.603890 + 0.348656i
\(237\) 27.5645 27.5645i 1.79051 1.79051i
\(238\) 0.441369 + 2.03850i 0.0286097 + 0.132136i
\(239\) 23.9971i 1.55224i 0.630585 + 0.776120i \(0.282815\pi\)
−0.630585 + 0.776120i \(0.717185\pi\)
\(240\) 5.20403 + 3.89379i 0.335919 + 0.251343i
\(241\) −21.4666 12.3937i −1.38278 0.798350i −0.390295 0.920690i \(-0.627627\pi\)
−0.992488 + 0.122340i \(0.960960\pi\)
\(242\) 2.39287 0.641168i 0.153820 0.0412158i
\(243\) 2.25979 8.43364i 0.144965 0.541018i
\(244\) −1.99231 −0.127545
\(245\) 13.1822 8.43977i 0.842179 0.539197i
\(246\) 26.1026 1.66424
\(247\) −0.665553 + 2.48388i −0.0423481 + 0.158045i
\(248\) 0.0401138 0.0107485i 0.00254723 0.000682528i
\(249\) 34.6392 + 19.9990i 2.19517 + 1.26738i
\(250\) −1.86175 11.0242i −0.117747 0.697234i
\(251\) 11.1158i 0.701623i 0.936446 + 0.350811i \(0.114094\pi\)
−0.936446 + 0.350811i \(0.885906\pi\)
\(252\) −3.05060 14.0895i −0.192170 0.887552i
\(253\) 12.2153 12.2153i 0.767970 0.767970i
\(254\) 16.2312 9.37110i 1.01844 0.587995i
\(255\) −3.16825 4.02682i −0.198403 0.252169i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −24.4314 6.54637i −1.52399 0.408351i −0.602935 0.797790i \(-0.706002\pi\)
−0.921052 + 0.389439i \(0.872669\pi\)
\(258\) 1.37941 + 1.37941i 0.0858785 + 0.0858785i
\(259\) 0.678966 + 0.0330060i 0.0421889 + 0.00205090i
\(260\) 1.03449 + 2.41421i 0.0641565 + 0.149723i
\(261\) 7.14424 + 12.3742i 0.442217 + 0.765943i
\(262\) 3.67384 + 13.7110i 0.226971 + 0.847066i
\(263\) 2.93659 + 10.9595i 0.181078 + 0.675792i 0.995436 + 0.0954297i \(0.0304225\pi\)
−0.814358 + 0.580363i \(0.802911\pi\)
\(264\) −5.33539 9.24117i −0.328371 0.568755i
\(265\) −6.96973 16.2654i −0.428147 0.999174i
\(266\) −2.64910 5.15085i −0.162427 0.315819i
\(267\) −2.93964 2.93964i −0.179903 0.179903i
\(268\) −6.39671 1.71399i −0.390741 0.104699i
\(269\) −4.03346 + 6.98616i −0.245924 + 0.425954i −0.962391 0.271668i \(-0.912425\pi\)
0.716467 + 0.697621i \(0.245758\pi\)
\(270\) 9.84115 + 12.5080i 0.598913 + 0.761215i
\(271\) 7.27419 4.19976i 0.441876 0.255117i −0.262517 0.964927i \(-0.584553\pi\)
0.704393 + 0.709810i \(0.251219\pi\)
\(272\) 0.557436 0.557436i 0.0337995 0.0337995i
\(273\) 2.75885 8.60155i 0.166974 0.520590i
\(274\) 18.9664i 1.14580i
\(275\) −4.31920 + 17.8403i −0.260458 + 1.07581i
\(276\) −11.8452 6.83885i −0.713000 0.411651i
\(277\) −5.48646 + 1.47009i −0.329650 + 0.0883293i −0.419848 0.907594i \(-0.637917\pi\)
0.0901983 + 0.995924i \(0.471250\pi\)
\(278\) −2.13191 + 7.95639i −0.127863 + 0.477193i
\(279\) 0.226279 0.0135470
\(280\) −5.37963 2.46161i −0.321495 0.147110i
\(281\) 7.27627 0.434066 0.217033 0.976164i \(-0.430362\pi\)
0.217033 + 0.976164i \(0.430362\pi\)
\(282\) 4.81482 17.9692i 0.286719 1.07005i
\(283\) −7.44729 + 1.99550i −0.442696 + 0.118620i −0.473280 0.880912i \(-0.656930\pi\)
0.0305840 + 0.999532i \(0.490263\pi\)
\(284\) −7.03019 4.05888i −0.417165 0.240850i
\(285\) 11.3928 + 8.52440i 0.674851 + 0.504942i
\(286\) 4.31218i 0.254984i
\(287\) −23.2215 + 5.02784i −1.37072 + 0.296784i
\(288\) −3.85282 + 3.85282i −0.227029 + 0.227029i
\(289\) 14.1842 8.18927i 0.834366 0.481721i
\(290\) 5.82247 + 0.694784i 0.341907 + 0.0407991i
\(291\) 6.50906 11.2740i 0.381568 0.660895i
\(292\) −9.52910 2.55331i −0.557648 0.149421i
\(293\) 3.35198 + 3.35198i 0.195824 + 0.195824i 0.798207 0.602383i \(-0.205782\pi\)
−0.602383 + 0.798207i \(0.705782\pi\)
\(294\) 8.41624 + 18.5244i 0.490845 + 1.08037i
\(295\) −8.89741 + 22.2397i −0.518027 + 1.29485i
\(296\) −0.128464 0.222506i −0.00746682 0.0129329i
\(297\) −6.76284 25.2393i −0.392420 1.46453i
\(298\) 1.25316 + 4.67687i 0.0725938 + 0.270924i
\(299\) −2.76365 4.78679i −0.159826 0.276827i
\(300\) 14.5291 0.352638i 0.838835 0.0203595i
\(301\) −1.49286 0.961456i −0.0860468 0.0554174i
\(302\) −7.10348 7.10348i −0.408759 0.408759i
\(303\) 0.201888 + 0.0540958i 0.0115982 + 0.00310772i
\(304\) −1.09461 + 1.89593i −0.0627804 + 0.108739i
\(305\) −3.50118 + 2.75468i −0.200477 + 0.157733i
\(306\) 3.71992 2.14770i 0.212654 0.122776i
\(307\) −1.06546 + 1.06546i −0.0608089 + 0.0608089i −0.736857 0.676048i \(-0.763691\pi\)
0.676048 + 0.736857i \(0.263691\pi\)
\(308\) 6.52650 + 7.19345i 0.371882 + 0.409885i
\(309\) 48.1918i 2.74154i
\(310\) 0.0556324 0.0743524i 0.00315971 0.00422293i
\(311\) 11.9584 + 6.90417i 0.678097 + 0.391500i 0.799138 0.601148i \(-0.205290\pi\)
−0.121040 + 0.992648i \(0.538623\pi\)
\(312\) −3.29788 + 0.883663i −0.186706 + 0.0500276i
\(313\) 6.04266 22.5515i 0.341551 1.27469i −0.555038 0.831825i \(-0.687296\pi\)
0.896590 0.442863i \(-0.146037\pi\)
\(314\) −24.4867 −1.38186
\(315\) −24.8418 20.5421i −1.39968 1.15742i
\(316\) 13.4113 0.754443
\(317\) 3.41352 12.7394i 0.191722 0.715518i −0.801369 0.598171i \(-0.795894\pi\)
0.993091 0.117347i \(-0.0374390\pi\)
\(318\) 22.2189 5.95354i 1.24598 0.333858i
\(319\) −8.33728 4.81353i −0.466798 0.269506i
\(320\) 0.318742 + 2.21323i 0.0178182 + 0.123724i
\(321\) 13.2818i 0.741316i
\(322\) 11.8551 + 3.80239i 0.660658 + 0.211899i
\(323\) 1.22035 1.22035i 0.0679023 0.0679023i
\(324\) −3.76053 + 2.17114i −0.208918 + 0.120619i
\(325\) 5.15599 + 2.81226i 0.286003 + 0.155996i
\(326\) −10.9828 + 19.0227i −0.608279 + 1.05357i
\(327\) 50.8253 + 13.6186i 2.81065 + 0.753111i
\(328\) 6.35000 + 6.35000i 0.350620 + 0.350620i
\(329\) −0.822187 + 16.9132i −0.0453286 + 0.932454i
\(330\) −22.1535 8.86292i −1.21951 0.487888i
\(331\) 9.54799 + 16.5376i 0.524805 + 0.908989i 0.999583 + 0.0288830i \(0.00919501\pi\)
−0.474778 + 0.880106i \(0.657472\pi\)
\(332\) 3.56155 + 13.2919i 0.195465 + 0.729487i
\(333\) −0.362328 1.35222i −0.0198554 0.0741015i
\(334\) −2.22467 3.85325i −0.121729 0.210840i
\(335\) −13.6111 + 5.83237i −0.743653 + 0.318656i
\(336\) 4.16400 6.46545i 0.227165 0.352719i
\(337\) 0.488226 + 0.488226i 0.0265953 + 0.0265953i 0.720279 0.693684i \(-0.244014\pi\)
−0.693684 + 0.720279i \(0.744014\pi\)
\(338\) 11.2243 + 3.00755i 0.610523 + 0.163589i
\(339\) −3.12540 + 5.41335i −0.169748 + 0.294013i
\(340\) 0.208866 1.75035i 0.0113273 0.0949260i
\(341\) −0.132033 + 0.0762292i −0.00714998 + 0.00412804i
\(342\) −8.43469 + 8.43469i −0.456096 + 0.456096i
\(343\) −11.0554 14.8586i −0.596936 0.802289i
\(344\) 0.671142i 0.0361855i
\(345\) −30.2720 + 4.35966i −1.62979 + 0.234716i
\(346\) −4.52631 2.61327i −0.243336 0.140490i
\(347\) −3.68015 + 0.986094i −0.197561 + 0.0529363i −0.356243 0.934393i \(-0.615942\pi\)
0.158682 + 0.987330i \(0.449276\pi\)
\(348\) −1.97280 + 7.36260i −0.105753 + 0.394677i
\(349\) −7.91303 −0.423575 −0.211787 0.977316i \(-0.567928\pi\)
−0.211787 + 0.977316i \(0.567928\pi\)
\(350\) −12.8574 + 3.11227i −0.687259 + 0.166358i
\(351\) −8.36041 −0.446246
\(352\) 0.950161 3.54605i 0.0506438 0.189005i
\(353\) −24.9004 + 6.67203i −1.32531 + 0.355116i −0.850965 0.525222i \(-0.823982\pi\)
−0.474347 + 0.880338i \(0.657316\pi\)
\(354\) −26.9655 15.5686i −1.43320 0.827459i
\(355\) −17.9665 + 2.58747i −0.953564 + 0.137329i
\(356\) 1.43026i 0.0758036i
\(357\) −4.48995 + 4.07365i −0.237633 + 0.215601i
\(358\) −8.88731 + 8.88731i −0.469709 + 0.469709i
\(359\) 8.99497 5.19325i 0.474737 0.274089i −0.243484 0.969905i \(-0.578290\pi\)
0.718220 + 0.695816i \(0.244957\pi\)
\(360\) −1.44361 + 12.0979i −0.0760851 + 0.637613i
\(361\) 7.10364 12.3039i 0.373876 0.647572i
\(362\) 11.2765 + 3.02152i 0.592677 + 0.158807i
\(363\) 5.09161 + 5.09161i 0.267240 + 0.267240i
\(364\) 2.76365 1.42136i 0.144855 0.0744994i
\(365\) −20.2763 + 8.68840i −1.06131 + 0.454772i
\(366\) −2.89549 5.01514i −0.151350 0.262146i
\(367\) −2.24811 8.39004i −0.117350 0.437957i 0.882102 0.471059i \(-0.156128\pi\)
−0.999452 + 0.0331020i \(0.989461\pi\)
\(368\) −1.21791 4.54529i −0.0634878 0.236940i
\(369\) 24.4654 + 42.3753i 1.27362 + 2.20597i
\(370\) −0.533405 0.213399i −0.0277304 0.0110941i
\(371\) −18.6197 + 9.57617i −0.966686 + 0.497170i
\(372\) 0.0853553 + 0.0853553i 0.00442546 + 0.00442546i
\(373\) −12.8560 3.44476i −0.665660 0.178363i −0.0898611 0.995954i \(-0.528642\pi\)
−0.575799 + 0.817591i \(0.695309\pi\)
\(374\) −1.44704 + 2.50635i −0.0748247 + 0.129600i
\(375\) 25.0450 20.7084i 1.29332 1.06938i
\(376\) 5.54268 3.20007i 0.285842 0.165031i
\(377\) −2.17808 + 2.17808i −0.112177 + 0.112177i
\(378\) 13.9466 12.6535i 0.717336 0.650826i
\(379\) 25.3453i 1.30190i −0.759121 0.650949i \(-0.774371\pi\)
0.759121 0.650949i \(-0.225629\pi\)
\(380\) 0.697798 + 4.84527i 0.0357963 + 0.248557i
\(381\) 47.1788 + 27.2387i 2.41704 + 1.39548i
\(382\) 14.9751 4.01258i 0.766195 0.205301i
\(383\) 4.76251 17.7739i 0.243353 0.908205i −0.730851 0.682537i \(-0.760877\pi\)
0.974204 0.225668i \(-0.0724565\pi\)
\(384\) −2.90667 −0.148330
\(385\) 21.4154 + 3.61749i 1.09143 + 0.184364i
\(386\) −8.99792 −0.457982
\(387\) −0.946464 + 3.53225i −0.0481114 + 0.179554i
\(388\) 4.32611 1.15918i 0.219625 0.0588483i
\(389\) −19.3621 11.1787i −0.981699 0.566784i −0.0789164 0.996881i \(-0.525146\pi\)
−0.902783 + 0.430097i \(0.858479\pi\)
\(390\) −4.57371 + 6.11273i −0.231599 + 0.309530i
\(391\) 3.70961i 0.187603i
\(392\) −2.45902 + 6.55387i −0.124199 + 0.331020i
\(393\) −29.1745 + 29.1745i −1.47166 + 1.47166i
\(394\) −14.9359 + 8.62324i −0.752459 + 0.434432i
\(395\) 23.5682 18.5432i 1.18585 0.933008i
\(396\) 10.0015 17.3231i 0.502594 0.870518i
\(397\) −15.2461 4.08518i −0.765181 0.205029i −0.144939 0.989441i \(-0.546299\pi\)
−0.620241 + 0.784411i \(0.712965\pi\)
\(398\) 6.17385 + 6.17385i 0.309467 + 0.309467i
\(399\) 9.11594 14.1543i 0.456368 0.708603i
\(400\) 3.62028 + 3.44871i 0.181014 + 0.172435i
\(401\) −6.98528 12.0989i −0.348828 0.604188i 0.637213 0.770687i \(-0.280087\pi\)
−0.986042 + 0.166499i \(0.946754\pi\)
\(402\) −4.98201 18.5931i −0.248480 0.927339i
\(403\) 0.0126253 + 0.0471183i 0.000628911 + 0.00234713i
\(404\) 0.0359536 + 0.0622734i 0.00178876 + 0.00309822i
\(405\) −3.60661 + 9.01496i −0.179214 + 0.447957i
\(406\) 0.336879 6.92993i 0.0167190 0.343927i
\(407\) 0.666957 + 0.666957i 0.0330598 + 0.0330598i
\(408\) 2.21334 + 0.593063i 0.109577 + 0.0293610i
\(409\) −0.156681 + 0.271379i −0.00774737 + 0.0134188i −0.869873 0.493276i \(-0.835799\pi\)
0.862126 + 0.506694i \(0.169133\pi\)
\(410\) 19.9390 + 2.37928i 0.984718 + 0.117504i
\(411\) −47.7431 + 27.5645i −2.35499 + 1.35966i
\(412\) 11.7237 11.7237i 0.577583 0.577583i
\(413\) 26.9879 + 8.65608i 1.32799 + 0.425938i
\(414\) 25.6396i 1.26012i
\(415\) 24.6370 + 18.4340i 1.20938 + 0.904891i
\(416\) −1.01725 0.587308i −0.0498746 0.0287951i
\(417\) −23.1266 + 6.19675i −1.13251 + 0.303456i
\(418\) 2.08012 7.76311i 0.101742 0.379706i
\(419\) 31.6254 1.54500 0.772501 0.635014i \(-0.219006\pi\)
0.772501 + 0.635014i \(0.219006\pi\)
\(420\) −1.62191 17.1194i −0.0791410 0.835342i
\(421\) 24.2137 1.18011 0.590053 0.807365i \(-0.299107\pi\)
0.590053 + 0.807365i \(0.299107\pi\)
\(422\) 2.89219 10.7938i 0.140789 0.525433i
\(423\) 33.6842 9.02565i 1.63778 0.438842i
\(424\) 6.85354 + 3.95689i 0.332837 + 0.192164i
\(425\) −2.05308 3.36476i −0.0995890 0.163215i
\(426\) 23.5956i 1.14321i
\(427\) 3.54190 + 3.90386i 0.171405 + 0.188921i
\(428\) −3.23107 + 3.23107i −0.156179 + 0.156179i
\(429\) 10.8548 6.26703i 0.524075 0.302575i
\(430\) 0.927958 + 1.17943i 0.0447501 + 0.0568771i
\(431\) −0.779037 + 1.34933i −0.0375249 + 0.0649950i −0.884178 0.467150i \(-0.845281\pi\)
0.846653 + 0.532145i \(0.178614\pi\)
\(432\) −6.87505 1.84216i −0.330776 0.0886311i
\(433\) 6.28166 + 6.28166i 0.301877 + 0.301877i 0.841748 0.539871i \(-0.181527\pi\)
−0.539871 + 0.841748i \(0.681527\pi\)
\(434\) −0.0923749 0.0594930i −0.00443414 0.00285575i
\(435\) 6.71305 + 15.6663i 0.321866 + 0.751144i
\(436\) 9.05131 + 15.6773i 0.433479 + 0.750808i
\(437\) −2.66628 9.95068i −0.127545 0.476006i
\(438\) −7.42163 27.6979i −0.354619 1.32346i
\(439\) 11.9571 + 20.7103i 0.570681 + 0.988449i 0.996496 + 0.0836389i \(0.0266542\pi\)
−0.425815 + 0.904810i \(0.640012\pi\)
\(440\) −3.23320 7.54538i −0.154137 0.359712i
\(441\) −22.1844 + 31.0255i −1.05640 + 1.47741i
\(442\) 0.654772 + 0.654772i 0.0311443 + 0.0311443i
\(443\) −12.4238 3.32895i −0.590272 0.158163i −0.0486946 0.998814i \(-0.515506\pi\)
−0.541578 + 0.840651i \(0.682173\pi\)
\(444\) 0.373402 0.646751i 0.0177209 0.0306935i
\(445\) −1.97756 2.51346i −0.0937451 0.119149i
\(446\) −0.914645 + 0.528070i −0.0433097 + 0.0250049i
\(447\) −9.95157 + 9.95157i −0.470693 + 0.470693i
\(448\) 2.58583 0.559876i 0.122169 0.0264517i
\(449\) 17.8932i 0.844435i 0.906495 + 0.422217i \(0.138748\pi\)
−0.906495 + 0.422217i \(0.861252\pi\)
\(450\) 14.1902 + 23.2561i 0.668934 + 1.09630i
\(451\) −28.5510 16.4839i −1.34441 0.776197i
\(452\) −2.07723 + 0.556592i −0.0977046 + 0.0261799i
\(453\) 7.55749 28.2049i 0.355082 1.32518i
\(454\) 3.12036 0.146446
\(455\) 2.89145 6.31900i 0.135553 0.296239i
\(456\) −6.36335 −0.297991
\(457\) 8.85449 33.0454i 0.414196 1.54580i −0.372246 0.928134i \(-0.621412\pi\)
0.786442 0.617665i \(-0.211921\pi\)
\(458\) −8.13485 + 2.17973i −0.380116 + 0.101852i
\(459\) 4.85928 + 2.80551i 0.226812 + 0.130950i
\(460\) −8.42486 6.30371i −0.392811 0.293912i
\(461\) 23.3471i 1.08738i −0.839286 0.543690i \(-0.817027\pi\)
0.839286 0.543690i \(-0.182973\pi\)
\(462\) −8.62252 + 26.8833i −0.401156 + 1.25072i
\(463\) 3.98510 3.98510i 0.185203 0.185203i −0.608415 0.793619i \(-0.708195\pi\)
0.793619 + 0.608415i \(0.208195\pi\)
\(464\) −2.27103 + 1.31118i −0.105430 + 0.0608700i
\(465\) 0.268016 + 0.0319818i 0.0124289 + 0.00148312i
\(466\) −11.3985 + 19.7427i −0.528023 + 0.914563i
\(467\) −4.71932 1.26454i −0.218384 0.0585159i 0.147968 0.988992i \(-0.452727\pi\)
−0.366352 + 0.930476i \(0.619393\pi\)
\(468\) −4.52558 4.52558i −0.209195 0.209195i
\(469\) 8.01347 + 15.5812i 0.370028 + 0.719473i
\(470\) 5.31581 13.2872i 0.245200 0.612895i
\(471\) −35.5873 61.6390i −1.63978 2.84017i
\(472\) −2.77255 10.3473i −0.127617 0.476273i
\(473\) −0.637693 2.37990i −0.0293212 0.109428i
\(474\) 19.4910 + 33.7595i 0.895253 + 1.55062i
\(475\) 7.92561 + 7.55000i 0.363652 + 0.346418i
\(476\) −2.08327 0.101272i −0.0954867 0.00464182i
\(477\) 30.4904 + 30.4904i 1.39606 + 1.39606i
\(478\) −23.1794 6.21090i −1.06020 0.284080i
\(479\) −8.55572 + 14.8189i −0.390921 + 0.677094i −0.992571 0.121665i \(-0.961177\pi\)
0.601651 + 0.798759i \(0.294510\pi\)
\(480\) −5.10802 + 4.01892i −0.233148 + 0.183438i
\(481\) 0.261359 0.150896i 0.0119170 0.00688026i
\(482\) 17.5274 17.5274i 0.798350 0.798350i
\(483\) 7.65783 + 35.3683i 0.348443 + 1.60931i
\(484\) 2.47728i 0.112604i
\(485\) 5.99972 8.01859i 0.272433 0.364105i
\(486\) 7.56140 + 4.36557i 0.342992 + 0.198026i
\(487\) −0.125860 + 0.0337240i −0.00570325 + 0.00152818i −0.261670 0.965158i \(-0.584273\pi\)
0.255966 + 0.966686i \(0.417606\pi\)
\(488\) 0.515649 1.92443i 0.0233423 0.0871147i
\(489\) −63.8465 −2.88724
\(490\) 4.74039 + 14.9174i 0.214149 + 0.673899i
\(491\) 26.9895 1.21802 0.609011 0.793162i \(-0.291567\pi\)
0.609011 + 0.793162i \(0.291567\pi\)
\(492\) −6.75585 + 25.2132i −0.304577 + 1.13670i
\(493\) 1.99685 0.535055i 0.0899337 0.0240977i
\(494\) −2.22698 1.28575i −0.100197 0.0578486i
\(495\) −6.37579 44.2713i −0.286570 1.98985i
\(496\) 0.0415289i 0.00186470i
\(497\) 4.54495 + 20.9912i 0.203869 + 0.941584i
\(498\) −28.2828 + 28.2828i −1.26738 + 1.26738i
\(499\) −0.0833977 + 0.0481497i −0.00373339 + 0.00215548i −0.501866 0.864946i \(-0.667353\pi\)
0.498132 + 0.867101i \(0.334019\pi\)
\(500\) 11.1305 + 1.05497i 0.497769 + 0.0471797i
\(501\) 6.46638 11.2001i 0.288897 0.500384i
\(502\) −10.7370 2.87698i −0.479217 0.128406i
\(503\) −13.6334 13.6334i −0.607883 0.607883i 0.334509 0.942392i \(-0.391429\pi\)
−0.942392 + 0.334509i \(0.891429\pi\)
\(504\) 14.3989 + 0.699963i 0.641379 + 0.0311788i
\(505\) 0.149286 + 0.0597245i 0.00664312 + 0.00265771i
\(506\) 8.63753 + 14.9606i 0.383985 + 0.665081i
\(507\) 8.74194 + 32.6254i 0.388243 + 1.44894i
\(508\) 4.85084 + 18.1036i 0.215221 + 0.803217i
\(509\) −6.16366 10.6758i −0.273199 0.473195i 0.696480 0.717576i \(-0.254749\pi\)
−0.969679 + 0.244381i \(0.921415\pi\)
\(510\) 4.70961 2.01807i 0.208545 0.0893618i
\(511\) 11.9376 + 23.2111i 0.528087 + 1.02680i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −15.0510 4.03291i −0.664520 0.178057i
\(514\) 12.6466 21.9046i 0.557818 0.966169i
\(515\) 4.39274 36.8123i 0.193567 1.62214i
\(516\) −1.68943 + 0.975392i −0.0743730 + 0.0429393i
\(517\) −16.6140 + 16.6140i −0.730684 + 0.730684i
\(518\) −0.207611 + 0.647288i −0.00912189 + 0.0284402i
\(519\) 15.1918i 0.666845i
\(520\) −2.59970 + 0.374399i −0.114004 + 0.0164185i
\(521\) 14.1415 + 8.16461i 0.619551 + 0.357698i 0.776694 0.629878i \(-0.216895\pi\)
−0.157143 + 0.987576i \(0.550228\pi\)
\(522\) −13.8016 + 3.69813i −0.604080 + 0.161863i
\(523\) −7.09270 + 26.4703i −0.310142 + 1.15747i 0.618286 + 0.785953i \(0.287827\pi\)
−0.928428 + 0.371512i \(0.878839\pi\)
\(524\) −14.1946 −0.620095
\(525\) −26.5205 27.8422i −1.15745 1.21513i
\(526\) −11.3461 −0.494714
\(527\) 0.00847337 0.0316231i 0.000369106 0.00137752i
\(528\) 10.3072 2.76180i 0.448563 0.120192i
\(529\) −0.742186 0.428501i −0.0322689 0.0186305i
\(530\) 17.5151 2.52245i 0.760805 0.109568i
\(531\) 58.3682i 2.53297i
\(532\) 5.66098 1.22570i 0.245435 0.0531407i
\(533\) −7.45881 + 7.45881i −0.323077 + 0.323077i
\(534\) 3.60031 2.07864i 0.155801 0.0899517i
\(535\) −1.21065 + 10.1456i −0.0523409 + 0.438630i
\(536\) 3.31118 5.73513i 0.143021 0.247720i
\(537\) −35.2878 9.45533i −1.52278 0.408028i
\(538\) −5.70417 5.70417i −0.245924 0.245924i
\(539\) 2.49258 25.5768i 0.107363 1.10167i
\(540\) −14.6289 + 6.26850i −0.629528 + 0.269753i
\(541\) 20.5773 + 35.6410i 0.884689 + 1.53233i 0.846069 + 0.533073i \(0.178963\pi\)
0.0386200 + 0.999254i \(0.487704\pi\)
\(542\) 2.17395 + 8.11330i 0.0933793 + 0.348496i
\(543\) 8.78254 + 32.7769i 0.376895 + 1.40659i
\(544\) 0.394167 + 0.682717i 0.0168998 + 0.0292712i
\(545\) 37.5826 + 15.0356i 1.60986 + 0.644056i
\(546\) 7.59442 + 4.89109i 0.325011 + 0.209320i
\(547\) 8.06541 + 8.06541i 0.344852 + 0.344852i 0.858188 0.513336i \(-0.171590\pi\)
−0.513336 + 0.858188i \(0.671590\pi\)
\(548\) −18.3201 4.90887i −0.782597 0.209696i
\(549\) 5.42777 9.40117i 0.231651 0.401232i
\(550\) −16.1145 8.78944i −0.687126 0.374783i
\(551\) −4.97180 + 2.87047i −0.211806 + 0.122286i
\(552\) 9.67160 9.67160i 0.411651 0.411651i
\(553\) −23.8423 26.2788i −1.01388 1.11749i
\(554\) 5.68000i 0.241320i
\(555\) −0.238038 1.65285i −0.0101041 0.0701597i
\(556\) −7.13350 4.11853i −0.302528 0.174665i
\(557\) 24.7826 6.64049i 1.05007 0.281367i 0.307792 0.951454i \(-0.400410\pi\)
0.742282 + 0.670087i \(0.233743\pi\)
\(558\) −0.0585652 + 0.218568i −0.00247926 + 0.00925274i
\(559\) −0.788333 −0.0333429
\(560\) 3.77009 4.55921i 0.159315 0.192662i
\(561\) −8.41213 −0.355160
\(562\) −1.88324 + 7.02834i −0.0794396 + 0.296473i
\(563\) −12.3749 + 3.31584i −0.521539 + 0.139746i −0.509978 0.860187i \(-0.670347\pi\)
−0.0115606 + 0.999933i \(0.503680\pi\)
\(564\) 16.1107 + 9.30152i 0.678383 + 0.391665i
\(565\) −2.88083 + 3.85022i −0.121198 + 0.161980i
\(566\) 7.71000i 0.324076i
\(567\) 10.9397 + 3.50878i 0.459423 + 0.147355i
\(568\) 5.74013 5.74013i 0.240850 0.240850i
\(569\) −29.8291 + 17.2218i −1.25050 + 0.721977i −0.971209 0.238229i \(-0.923433\pi\)
−0.279292 + 0.960206i \(0.590100\pi\)
\(570\) −11.1826 + 8.79832i −0.468388 + 0.368521i
\(571\) 4.11985 7.13579i 0.172410 0.298623i −0.766852 0.641824i \(-0.778178\pi\)
0.939262 + 0.343201i \(0.111511\pi\)
\(572\) 4.16524 + 1.11607i 0.174158 + 0.0466654i
\(573\) 31.8645 + 31.8645i 1.33116 + 1.33116i
\(574\) 1.15364 23.7315i 0.0481520 0.990534i
\(575\) −23.5212 + 0.570889i −0.980904 + 0.0238077i
\(576\) −2.72435 4.71872i −0.113515 0.196613i
\(577\) −0.910086 3.39649i −0.0378874 0.141398i 0.944391 0.328824i \(-0.106652\pi\)
−0.982279 + 0.187426i \(0.939985\pi\)
\(578\) 4.23908 + 15.8204i 0.176322 + 0.658044i
\(579\) −13.0770 22.6500i −0.543460 0.941301i
\(580\) −2.17808 + 5.44425i −0.0904397 + 0.226060i
\(581\) 19.7132 30.6088i 0.817843 1.26987i
\(582\) 9.20520 + 9.20520i 0.381568 + 0.381568i
\(583\) −28.0627 7.51937i −1.16224 0.311421i
\(584\) 4.93262 8.54355i 0.204113 0.353535i
\(585\) −14.2103 1.69569i −0.587524 0.0701081i
\(586\) −4.10531 + 2.37020i −0.169589 + 0.0979122i
\(587\) −5.37485 + 5.37485i −0.221844 + 0.221844i −0.809275 0.587431i \(-0.800139\pi\)
0.587431 + 0.809275i \(0.300139\pi\)
\(588\) −20.0715 + 3.33499i −0.827734 + 0.137533i
\(589\) 0.0909162i 0.00374613i
\(590\) −19.1791 14.3503i −0.789590 0.590792i
\(591\) −43.4136 25.0649i −1.78580 1.03103i
\(592\) 0.248174 0.0664979i 0.0101999 0.00273305i
\(593\) 0.190155 0.709668i 0.00780872 0.0291426i −0.961912 0.273361i \(-0.911865\pi\)
0.969720 + 0.244218i \(0.0785314\pi\)
\(594\) 26.1296 1.07211
\(595\) −3.80106 + 2.70248i −0.155828 + 0.110791i
\(596\) −4.84185 −0.198330
\(597\) −6.56845 + 24.5138i −0.268829 + 1.00328i
\(598\) 5.33897 1.43057i 0.218327 0.0585005i
\(599\) 7.23778 + 4.17873i 0.295727 + 0.170738i 0.640522 0.767940i \(-0.278718\pi\)
−0.344794 + 0.938678i \(0.612051\pi\)
\(600\) −3.41977 + 14.1253i −0.139612 + 0.576661i
\(601\) 39.9236i 1.62852i 0.580501 + 0.814259i \(0.302857\pi\)
−0.580501 + 0.814259i \(0.697143\pi\)
\(602\) 1.31508 1.19315i 0.0535985 0.0486290i
\(603\) 25.5147 25.5147i 1.03904 1.03904i
\(604\) 8.69995 5.02292i 0.353996 0.204380i
\(605\) 3.42523 + 4.35344i 0.139255 + 0.176993i
\(606\) −0.104505 + 0.181008i −0.00424523 + 0.00735295i
\(607\) 33.2758 + 8.91623i 1.35062 + 0.361899i 0.860365 0.509678i \(-0.170235\pi\)
0.490259 + 0.871577i \(0.336902\pi\)
\(608\) −1.54802 1.54802i −0.0627804 0.0627804i
\(609\) 17.9339 9.22349i 0.726720 0.373755i
\(610\) −1.75465 4.09485i −0.0710436 0.165796i
\(611\) 3.75885 + 6.51051i 0.152067 + 0.263387i
\(612\) 1.11173 + 4.14903i 0.0449390 + 0.167715i
\(613\) −8.46832 31.6042i −0.342032 1.27648i −0.896041 0.443971i \(-0.853569\pi\)
0.554009 0.832510i \(-0.313097\pi\)
\(614\) −0.753393 1.30491i −0.0304044 0.0526620i
\(615\) 22.9888 + 53.6493i 0.926997 + 2.16335i
\(616\) −8.63753 + 4.44231i −0.348016 + 0.178986i
\(617\) −15.5005 15.5005i −0.624025 0.624025i 0.322533 0.946558i \(-0.395466\pi\)
−0.946558 + 0.322533i \(0.895466\pi\)
\(618\) 46.5497 + 12.4730i 1.87250 + 0.501736i
\(619\) 4.31138 7.46752i 0.173289 0.300145i −0.766279 0.642508i \(-0.777894\pi\)
0.939568 + 0.342363i \(0.111227\pi\)
\(620\) 0.0574201 + 0.0729806i 0.00230605 + 0.00293097i
\(621\) 29.0055 16.7463i 1.16395 0.672008i
\(622\) −9.76397 + 9.76397i −0.391500 + 0.391500i
\(623\) −2.80254 + 2.54269i −0.112281 + 0.101871i
\(624\) 3.41421i 0.136678i
\(625\) 21.0187 13.5356i 0.840749 0.541425i
\(626\) 20.2191 + 11.6735i 0.808119 + 0.466568i
\(627\) 22.5648 6.04621i 0.901150 0.241462i
\(628\) 6.33762 23.6523i 0.252898 0.943830i
\(629\) −0.202545 −0.00807600
\(630\) 26.2717 18.6787i 1.04669 0.744176i
\(631\) −4.13675 −0.164682 −0.0823408 0.996604i \(-0.526240\pi\)
−0.0823408 + 0.996604i \(0.526240\pi\)
\(632\) −3.47109 + 12.9543i −0.138073 + 0.515294i
\(633\) 31.3739 8.40662i 1.24700 0.334133i
\(634\) 11.4219 + 6.59442i 0.453620 + 0.261898i
\(635\) 33.5556 + 25.1072i 1.33161 + 0.996349i
\(636\) 23.0027i 0.912117i
\(637\) −7.69827 2.88840i −0.305017 0.114443i
\(638\) 6.80736 6.80736i 0.269506 0.269506i
\(639\) 38.3055 22.1157i 1.51534 0.874882i
\(640\) −2.22032 0.264946i −0.0877657 0.0104729i
\(641\) −5.42807 + 9.40169i −0.214396 + 0.371345i −0.953086 0.302701i \(-0.902112\pi\)
0.738690 + 0.674046i \(0.235445\pi\)
\(642\) −12.8292 3.43757i −0.506328 0.135670i
\(643\) −8.06230 8.06230i −0.317946 0.317946i 0.530032 0.847978i \(-0.322180\pi\)
−0.847978 + 0.530032i \(0.822180\pi\)
\(644\) −6.74114 + 10.4670i −0.265638 + 0.412457i
\(645\) −1.62028 + 4.05000i −0.0637984 + 0.159469i
\(646\) 0.862920 + 1.49462i 0.0339511 + 0.0588051i
\(647\) −2.69865 10.0715i −0.106095 0.395951i 0.892372 0.451300i \(-0.149040\pi\)
−0.998467 + 0.0553490i \(0.982373\pi\)
\(648\) −1.12387 4.19432i −0.0441496 0.164769i
\(649\) 19.6632 + 34.0577i 0.771848 + 1.33688i
\(650\) −4.05090 + 4.25243i −0.158889 + 0.166794i
\(651\) 0.0155070 0.318994i 0.000607766 0.0125023i
\(652\) −15.5320 15.5320i −0.608279 0.608279i
\(653\) 6.41946 + 1.72009i 0.251213 + 0.0673123i 0.382228 0.924068i \(-0.375157\pi\)
−0.131015 + 0.991380i \(0.541824\pi\)
\(654\) −26.3091 + 45.5687i −1.02877 + 1.78188i
\(655\) −24.9449 + 19.6263i −0.974677 + 0.766862i
\(656\) −7.77713 + 4.49013i −0.303646 + 0.175310i
\(657\) 38.0090 38.0090i 1.48287 1.48287i
\(658\) −16.1241 5.17163i −0.628582 0.201611i
\(659\) 22.0345i 0.858343i −0.903223 0.429172i \(-0.858806\pi\)
0.903223 0.429172i \(-0.141194\pi\)
\(660\) 14.2947 19.1047i 0.556419 0.743650i
\(661\) −9.94278 5.74047i −0.386729 0.223278i 0.294013 0.955802i \(-0.405009\pi\)
−0.680742 + 0.732523i \(0.738343\pi\)
\(662\) −18.4453 + 4.94240i −0.716897 + 0.192092i
\(663\) −0.696621 + 2.59983i −0.0270545 + 0.100969i
\(664\) −13.7608 −0.534021
\(665\) 8.25358 9.98115i 0.320060 0.387053i
\(666\) 1.39993 0.0542460
\(667\) 3.19379 11.9194i 0.123664 0.461521i
\(668\) 4.29774 1.15158i 0.166285 0.0445558i
\(669\) −2.65857 1.53492i −0.102786 0.0593436i
\(670\) −2.11082 14.6568i −0.0815482 0.566243i
\(671\) 7.31407i 0.282356i
\(672\) 5.16742 + 5.69550i 0.199338 + 0.219708i
\(673\) −15.2073 + 15.2073i −0.586198 + 0.586198i −0.936600 0.350402i \(-0.886045\pi\)
0.350402 + 0.936600i \(0.386045\pi\)
\(674\) −0.597952 + 0.345228i −0.0230322 + 0.0132977i
\(675\) −17.0409 + 31.2427i −0.655903 + 1.20253i
\(676\) −5.81014 + 10.0635i −0.223467 + 0.387056i
\(677\) −5.54296 1.48523i −0.213033 0.0570821i 0.150724 0.988576i \(-0.451840\pi\)
−0.363757 + 0.931494i \(0.618506\pi\)
\(678\) −4.41998 4.41998i −0.169748 0.169748i
\(679\) −9.96224 6.41606i −0.382316 0.246226i
\(680\) 1.63665 + 0.654772i 0.0627626 + 0.0251094i
\(681\) 4.53492 + 7.85472i 0.173779 + 0.300993i
\(682\) −0.0394591 0.147264i −0.00151097 0.00563901i
\(683\) 5.02900 + 18.7685i 0.192430 + 0.718157i 0.992917 + 0.118808i \(0.0379072\pi\)
−0.800488 + 0.599349i \(0.795426\pi\)
\(684\) −5.96423 10.3303i −0.228048 0.394991i
\(685\) −38.9821 + 16.7039i −1.48943 + 0.638222i
\(686\) 17.2137 6.83301i 0.657220 0.260886i
\(687\) −17.3095 17.3095i −0.660400 0.660400i
\(688\) −0.648273 0.173704i −0.0247152 0.00662241i
\(689\) −4.64782 + 8.05027i −0.177068 + 0.306691i
\(690\) 3.62385 30.3688i 0.137958 1.15612i
\(691\) 19.0914 11.0224i 0.726270 0.419312i −0.0907861 0.995870i \(-0.528938\pi\)
0.817056 + 0.576558i \(0.195605\pi\)
\(692\) 3.69572 3.69572i 0.140490 0.140490i
\(693\) −51.7244 + 11.1992i −1.96485 + 0.425422i
\(694\) 3.80998i 0.144625i
\(695\) −18.2305 + 2.62550i −0.691524 + 0.0995908i
\(696\) −6.60113 3.81116i −0.250215 0.144462i
\(697\) 6.83821 1.83229i 0.259016 0.0694031i
\(698\) 2.04804 7.64340i 0.0775196 0.289307i
\(699\) −66.2630 −2.50630
\(700\) 0.321526 13.2248i 0.0121526 0.499852i
\(701\) −18.0270 −0.680870 −0.340435 0.940268i \(-0.610574\pi\)
−0.340435 + 0.940268i \(0.610574\pi\)
\(702\) 2.16383 8.07553i 0.0816686 0.304791i
\(703\) 0.543308 0.145579i 0.0204913 0.00549062i
\(704\) 3.17930 + 1.83557i 0.119824 + 0.0691807i
\(705\) 41.1729 5.92957i 1.55066 0.223321i
\(706\) 25.7787i 0.970196i
\(707\) 0.0581046 0.181158i 0.00218525 0.00681316i
\(708\) 22.0173 22.0173i 0.827459 0.827459i
\(709\) −37.0614 + 21.3974i −1.39187 + 0.803597i −0.993522 0.113637i \(-0.963750\pi\)
−0.398349 + 0.917234i \(0.630417\pi\)
\(710\) 2.15077 18.0240i 0.0807170 0.676429i
\(711\) −36.5370 + 63.2840i −1.37025 + 2.37334i
\(712\) 1.38152 + 0.370178i 0.0517748 + 0.0138730i
\(713\) −0.138183 0.138183i −0.00517498 0.00517498i
\(714\) −2.77276 5.39130i −0.103768 0.201764i
\(715\) 8.86292 3.79777i 0.331454 0.142029i
\(716\) −6.28428 10.8847i −0.234854 0.406780i
\(717\) −18.0530 67.3747i −0.674202 2.51615i
\(718\) 2.68822 + 10.0326i 0.100324 + 0.374413i
\(719\) −2.72691 4.72315i −0.101697 0.176144i 0.810687 0.585480i \(-0.199094\pi\)
−0.912384 + 0.409336i \(0.865760\pi\)
\(720\) −11.3120 4.52558i −0.421573 0.168658i
\(721\) −43.8142 2.12990i −1.63172 0.0793217i
\(722\) 10.0461 + 10.0461i 0.373876 + 0.373876i
\(723\) 69.5938 + 18.6476i 2.58822 + 0.693512i
\(724\) −5.83712 + 10.1102i −0.216935 + 0.375742i
\(725\) 3.69989 + 12.5790i 0.137411 + 0.467171i
\(726\) −6.23593 + 3.60031i −0.231437 + 0.133620i
\(727\) 16.6781 16.6781i 0.618555 0.618555i −0.326606 0.945161i \(-0.605905\pi\)
0.945161 + 0.326606i \(0.105905\pi\)
\(728\) 0.657639 + 3.03736i 0.0243737 + 0.112572i
\(729\) 38.4054i 1.42242i
\(730\) −3.14447 21.8341i −0.116382 0.808116i
\(731\) 0.458200 + 0.264542i 0.0169471 + 0.00978443i
\(732\) 5.59367 1.49882i 0.206748 0.0553979i
\(733\) −8.79960 + 32.8405i −0.325021 + 1.21299i 0.589271 + 0.807936i \(0.299415\pi\)
−0.914291 + 0.405057i \(0.867252\pi\)
\(734\) 8.68601 0.320607
\(735\) −30.6614 + 33.6127i −1.13096 + 1.23982i
\(736\) 4.70563 0.173452
\(737\) −6.29231 + 23.4832i −0.231780 + 0.865016i
\(738\) −47.2635 + 12.6642i −1.73979 + 0.466177i
\(739\) 25.0733 + 14.4761i 0.922335 + 0.532510i 0.884379 0.466769i \(-0.154582\pi\)
0.0379557 + 0.999279i \(0.487915\pi\)
\(740\) 0.344183 0.459998i 0.0126524 0.0169099i
\(741\) 7.47449i 0.274582i
\(742\) −4.43074 20.4637i −0.162658 0.751247i
\(743\) 34.0351 34.0351i 1.24863 1.24863i 0.292300 0.956327i \(-0.405579\pi\)
0.956327 0.292300i \(-0.0944206\pi\)
\(744\) −0.104538 + 0.0603553i −0.00383257 + 0.00221273i
\(745\) −8.50881 + 6.69461i −0.311739 + 0.245272i
\(746\) 6.65477 11.5264i 0.243649 0.422012i
\(747\) −72.4235 19.4058i −2.64984 0.710022i
\(748\) −2.04643 2.04643i −0.0748247 0.0748247i
\(749\) 12.0753 + 0.587006i 0.441221 + 0.0214487i
\(750\) 13.5206 + 29.5513i 0.493704 + 1.07906i
\(751\) 9.30569 + 16.1179i 0.339569 + 0.588151i 0.984352 0.176215i \(-0.0563853\pi\)
−0.644782 + 0.764366i \(0.723052\pi\)
\(752\) 1.65648 + 6.18205i 0.0604055 + 0.225436i
\(753\) −8.36242 31.2090i −0.304743 1.13732i
\(754\) −1.54013 2.66759i −0.0560883 0.0971478i
\(755\) 8.34385 20.8560i 0.303664 0.759029i
\(756\) 8.61270 + 16.7463i 0.313241 + 0.609059i
\(757\) 29.7422 + 29.7422i 1.08100 + 1.08100i 0.996416 + 0.0845825i \(0.0269557\pi\)
0.0845825 + 0.996416i \(0.473044\pi\)
\(758\) 24.4816 + 6.55984i 0.889213 + 0.238264i
\(759\) −25.1064 + 43.4856i −0.911305 + 1.57843i
\(760\) −4.86078 0.580027i −0.176319 0.0210398i
\(761\) 17.6474 10.1887i 0.639718 0.369341i −0.144788 0.989463i \(-0.546250\pi\)
0.784506 + 0.620122i \(0.212917\pi\)
\(762\) −38.5213 + 38.5213i −1.39548 + 1.39548i
\(763\) 14.6278 45.6066i 0.529563 1.65107i
\(764\) 15.5034i 0.560894i
\(765\) 7.69038 + 5.75415i 0.278046 + 0.208042i
\(766\) 15.9357 + 9.20046i 0.575779 + 0.332426i
\(767\) 12.1541 3.25668i 0.438859 0.117592i
\(768\) 0.752300 2.80762i 0.0271463 0.101311i
\(769\) 40.9728 1.47752 0.738759 0.673970i \(-0.235412\pi\)
0.738759 + 0.673970i \(0.235412\pi\)
\(770\) −9.03694 + 19.7494i −0.325669 + 0.711719i
\(771\) 73.5189 2.64772
\(772\) 2.32883