Properties

Label 70.2.k.a.33.1
Level $70$
Weight $2$
Character 70.33
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 33.1
Root \(-0.587308 - 2.01725i\) of defining polynomial
Character \(\chi\) \(=\) 70.33
Dual form 70.2.k.a.17.1

$q$-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 \(\left(\mathbb{Z}/70\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(57\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{3}{4}\right)\)

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 −0.669692 0.742639i \(-0.733574\pi\)
−0.951290 + 0.308298i \(0.900241\pi\)
\(4\) −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 −0.998023 0.0628551i \(-0.979979\pi\)
0.444577 0.895741i \(-0.353354\pi\)
\(12\) 2.80762 0.752300i 0.810491 0.217170i
\(13\) 0.830578 0.830578i 0.230361 0.230361i −0.582482 0.812843i \(-0.697918\pi\)
0.812843 + 0.582482i \(0.197918\pi\)
\(14\) −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 −0.986245 0.165292i \(-0.947143\pi\)
0.936759 + 0.349976i \(0.113810\pi\)
\(18\) 1.41023 5.26305i 0.332394 1.24051i
\(19\) 1.09461 1.89593i 0.251122 0.434955i −0.712713 0.701455i \(-0.752534\pi\)
0.963835 + 0.266500i \(0.0858673\pi\)
\(20\) 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 −0.699411 0.714719i \(-0.746554\pi\)
−0.248348 + 0.968671i \(0.579888\pi\)
\(24\) −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 \(-0.921711\pi\)
0.969906 0.243480i \(-0.0782891\pi\)
\(30\) 0.926476 6.43313i 0.169151 1.17452i
\(31\) 0.0359651 0.0207644i 0.00645952 0.00372940i −0.496767 0.867884i \(-0.665480\pi\)
0.503226 + 0.864155i \(0.332146\pi\)
\(32\) −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 0.971176 0.238362i \(-0.0766103\pi\)
−0.960244 + 0.279161i \(0.909944\pi\)
\(38\) −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 \(-0.752630\pi\)
0.712925 0.701241i \(-0.247370\pi\)
\(42\) 7.51616 + 1.62737i 1.15977 + 0.251109i
\(43\) −0.474569 0.474569i −0.0723711 0.0723711i 0.669995 0.742366i \(-0.266296\pi\)
−0.742366 + 0.669995i \(0.766296\pi\)
\(44\) 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 0.221980 0.975051i \(-0.428748\pi\)
0.679766 + 0.733429i \(0.262081\pi\)
\(48\) −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 −0.670120 0.742252i \(-0.733758\pi\)
0.951468 0.307749i \(-0.0995758\pi\)
\(54\) −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 0.969395 + 0.245506i \(0.0789541\pi\)
−0.272083 + 0.962274i \(0.587713\pi\)
\(60\) −6.45372 + 0.770110i −0.833171 + 0.0994207i
\(61\) 1.72539 + 0.996157i 0.220914 + 0.127545i 0.606373 0.795180i \(-0.292624\pi\)
−0.385459 + 0.922725i \(0.625957\pi\)
\(62\) −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 0.627438 0.778666i \(-0.284103\pi\)
0.154044 + 0.988064i \(0.450770\pi\)
\(68\) −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 0.768979 0.639274i \(-0.220765\pi\)
0.346318 + 0.938117i \(0.387432\pi\)
\(74\) 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 −0.325184 0.945651i \(-0.605426\pi\)
−0.981550 + 0.191208i \(0.938760\pi\)
\(80\) −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 −0.0705331 + 0.997509i \(0.522470\pi\)
−0.997509 + 0.0705331i \(0.977530\pi\)
\(84\) −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 −0.825632 0.564209i \(-0.809181\pi\)
0.901435 + 0.432914i \(0.142514\pi\)
\(90\) −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 0.527810 0.849363i \(-0.323013\pi\)
−0.849363 + 0.527810i \(0.823013\pi\)
\(98\) −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 −0.503095 0.864231i \(-0.667805\pi\)
0.496899 + 0.867809i \(0.334472\pi\)
\(102\) −2.21334 0.593063i −0.219154 0.0587220i
\(103\) −4.29116 16.0148i −0.422820 1.57799i −0.768638 0.639685i \(-0.779065\pi\)
0.345817 0.938302i \(-0.387602\pi\)
\(104\) 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 0.999236 0.0390819i \(-0.0124433\pi\)
−0.884905 + 0.465772i \(0.845777\pi\)
\(108\) 6.87505 + 1.84216i 0.661552 + 0.177262i
\(109\) −15.6773 + 9.05131i −1.50162 + 0.866958i −0.501617 + 0.865090i \(0.667261\pi\)
−0.999998 + 0.00186842i \(0.999405\pi\)
\(110\) 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 0.775005 0.631955i \(-0.217747\pi\)
−0.631955 + 0.775005i \(0.717747\pi\)
\(114\) 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 −0.195234 + 0.980757i \(0.562547\pi\)
−0.980757 + 0.195234i \(0.937453\pi\)
\(128\) 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 0.929281 0.369372i \(-0.120427\pi\)
0.144755 + 0.989468i \(0.453761\pi\)
\(132\) −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 0.934303 0.356479i \(-0.116023\pi\)
0.630891 + 0.775871i \(0.282689\pi\)
\(138\) −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 0.661826 0.749657i \(-0.269782\pi\)
−0.318309 + 0.947987i \(0.603115\pi\)
\(150\) −4.10102 + 13.9427i −0.334847 + 1.13842i
\(151\) −5.02292 8.69995i −0.408759 0.707992i 0.585992 0.810317i \(-0.300705\pi\)
−0.994751 + 0.102325i \(0.967372\pi\)
\(152\) 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 0.0474774 0.998872i \(-0.484882\pi\)
0.458320 0.888788i \(-0.348452\pi\)
\(158\) −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 0.698954 0.715166i \(-0.253649\pi\)
0.962895 + 0.269875i \(0.0869823\pi\)
\(164\) 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 0.574821 0.818279i \(-0.305072\pi\)
−0.818279 + 0.574821i \(0.805072\pi\)
\(168\) −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 0.895246 0.445572i \(-0.147000\pi\)
−0.998092 + 0.0617463i \(0.980333\pi\)
\(174\) 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 −0.0346308 0.999400i \(-0.511026\pi\)
0.848191 + 0.529691i \(0.177692\pi\)
\(180\) 12.0593 + 1.73673i 0.898844 + 0.129448i
\(181\) 11.6742i 0.867740i 0.900976 + 0.433870i \(0.142852\pi\)
−0.900976 + 0.433870i \(0.857148\pi\)
\(182\) −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 0.436525 + 0.899692i \(0.356209\pi\)
−0.997419 + 0.0718040i \(0.977124\pi\)
\(192\) 0.752300 2.80762i 0.0542926 0.202623i
\(193\) 2.32883 8.69132i 0.167633 0.625615i −0.830057 0.557679i \(-0.811692\pi\)
0.997690 0.0679359i \(-0.0216413\pi\)
\(194\) −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 −0.123482 0.992347i \(-0.539406\pi\)
0.992347 + 0.123482i \(0.0394061\pi\)
\(198\) −19.3214 + 5.17715i −1.37311 + 0.367924i
\(199\) 4.36557 + 7.56140i 0.309467 + 0.536013i 0.978246 0.207448i \(-0.0665159\pi\)
−0.668779 + 0.743462i \(0.733183\pi\)
\(200\) 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 −0.681660 0.731669i \(-0.738742\pi\)
0.731669 + 0.681660i \(0.238742\pi\)
\(224\) −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 −0.987534 0.157403i \(-0.949688\pi\)
0.933932 + 0.357452i \(0.116354\pi\)
\(228\) 1.64696 6.14653i 0.109072 0.407064i
\(229\) 4.21091 7.29350i 0.278264 0.481968i −0.692689 0.721236i \(-0.743574\pi\)
0.970954 + 0.239268i \(0.0769075\pi\)
\(230\) −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 0.549148 0.835725i \(-0.314952\pi\)
0.893439 + 0.449186i \(0.148286\pi\)
\(234\) −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 \(-0.717185\pi\)
0.630585 0.776120i \(-0.282815\pi\)
\(240\) 5.20403 3.89379i 0.335919 0.251343i
\(241\) −21.4666 + 12.3937i −1.38278 + 0.798350i −0.992488 0.122340i \(-0.960960\pi\)
−0.390295 + 0.920690i \(0.627627\pi\)
\(242\) 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 \(-0.885906\pi\)
0.936446 0.350811i \(-0.114094\pi\)
\(252\) −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 −0.921052 0.389439i \(-0.872669\pi\)
−0.602935 + 0.797790i \(0.706002\pi\)
\(258\) 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 −0.814358 0.580363i \(-0.802911\pi\)
0.995436 0.0954297i \(-0.0304225\pi\)
\(264\) −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 0.716467 0.697621i \(-0.245758\pi\)
−0.962391 + 0.271668i \(0.912425\pi\)
\(270\) 9.84115 12.5080i 0.598913 0.761215i
\(271\) 7.27419 + 4.19976i 0.441876 + 0.255117i 0.704393 0.709810i \(-0.251219\pi\)
−0.262517 + 0.964927i \(0.584553\pi\)
\(272\) 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 0.0901983 0.995924i \(-0.471250\pi\)
−0.419848 + 0.907594i \(0.637917\pi\)
\(278\) −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 0.0305840 0.999532i \(-0.490263\pi\)
−0.473280 + 0.880912i \(0.656930\pi\)
\(284\) −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 −0.602383 0.798207i \(-0.705782\pi\)
0.798207 + 0.602383i \(0.205782\pi\)
\(294\) 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 0.676048 0.736857i \(-0.263691\pi\)
−0.736857 + 0.676048i \(0.763691\pi\)
\(308\) 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 −0.121040 0.992648i \(-0.538623\pi\)
0.799138 + 0.601148i \(0.205290\pi\)
\(312\) −3.29788 0.883663i −0.186706 0.0500276i
\(313\) 6.04266 + 22.5515i 0.341551 + 1.27469i 0.896590 + 0.442863i \(0.146037\pi\)
−0.555038 + 0.831825i \(0.687296\pi\)
\(314\) −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 0.993091 + 0.117347i \(0.0374390\pi\)
−0.801369 + 0.598171i \(0.795894\pi\)
\(318\) 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 −0.474778 0.880106i \(-0.657472\pi\)
0.999583 0.0288830i \(-0.00919501\pi\)
\(332\) 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 −0.693684 0.720279i \(-0.744014\pi\)
0.720279 + 0.693684i \(0.244014\pi\)
\(338\) 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 0.158682 0.987330i \(-0.449276\pi\)
−0.356243 + 0.934393i \(0.615942\pi\)
\(348\) −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 −0.474347 0.880338i \(-0.657316\pi\)
−0.850965 + 0.525222i \(0.823982\pi\)
\(354\) −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 0.718220 0.695816i \(-0.244957\pi\)
−0.243484 + 0.969905i \(0.578290\pi\)
\(360\) −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 −0.999452 0.0331020i \(-0.989461\pi\)
0.882102 + 0.471059i \(0.156128\pi\)
\(368\) −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 −0.575799 0.817591i \(-0.695309\pi\)
−0.0898611 + 0.995954i \(0.528642\pi\)
\(374\) −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 \(0.225629\pi\)
−0.759121 + 0.650949i \(0.774371\pi\)
\(380\) 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 0.974204 + 0.225668i \(0.0724565\pi\)
−0.730851 + 0.682537i \(0.760877\pi\)
\(384\) −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 −0.902783 0.430097i \(-0.858479\pi\)
−0.0789164 + 0.996881i \(0.525146\pi\)
\(390\) −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 −0.620241 0.784411i \(-0.712965\pi\)
−0.144939 + 0.989441i \(0.546299\pi\)
\(398\) 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 −0.986042 0.166499i \(-0.946754\pi\)
0.637213 + 0.770687i \(0.280087\pi\)
\(402\) −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 0.862126 0.506694i \(-0.169133\pi\)
−0.869873 + 0.493276i \(0.835799\pi\)
\(410\) 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 0.846653 0.532145i \(-0.178614\pi\)
−0.884178 + 0.467150i \(0.845281\pi\)
\(432\) −6.87505 + 1.84216i −0.330776 + 0.0886311i
\(433\) 6.28166 6.28166i 0.301877 0.301877i −0.539871 0.841748i \(-0.681527\pi\)
0.841748 + 0.539871i \(0.181527\pi\)
\(434\) −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 −0.425815 0.904810i \(-0.640012\pi\)
0.996496 0.0836389i \(-0.0266542\pi\)
\(440\) −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 −0.541578 0.840651i \(-0.682173\pi\)
−0.0486946 + 0.998814i \(0.515506\pi\)
\(444\) 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 \(-0.861252\pi\)
0.906495 0.422217i \(-0.138748\pi\)
\(450\) 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 0.786442 + 0.617665i \(0.211921\pi\)
−0.372246 + 0.928134i \(0.621412\pi\)
\(458\) −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 \(0.182973\pi\)
−0.839286 + 0.543690i \(0.817027\pi\)
\(462\) −8.62252 26.8833i −0.401156 1.25072i
\(463\) 3.98510 + 3.98510i 0.185203 + 0.185203i 0.793619 0.608415i \(-0.208195\pi\)
−0.608415 + 0.793619i \(0.708195\pi\)
\(464\) −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 −0.366352 0.930476i \(-0.619393\pi\)
0.147968 + 0.988992i \(0.452727\pi\)
\(468\) −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 0.601651 0.798759i \(-0.294510\pi\)
−0.992571 + 0.121665i \(0.961177\pi\)
\(480\) −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 0.255966 0.966686i \(-0.417606\pi\)
−0.261670 + 0.965158i \(0.584273\pi\)
\(488\) 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 0.498132 0.867101i \(-0.334019\pi\)
−0.501866 + 0.864946i \(0.667353\pi\)
\(500\) 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 −0.942392 0.334509i \(-0.891429\pi\)
0.334509 + 0.942392i \(0.391429\pi\)
\(504\) 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 −0.969679 0.244381i \(-0.921415\pi\)
0.696480 + 0.717576i \(0.254749\pi\)
\(510\) 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 −0.157143 0.987576i \(-0.550228\pi\)
0.776694 + 0.629878i \(0.216895\pi\)
\(522\) −13.8016 3.69813i −0.604080 0.161863i
\(523\) −7.09270 26.4703i −0.310142 1.15747i −0.928428 0.371512i \(-0.878839\pi\)
0.618286 0.785953i \(-0.287827\pi\)
\(524\) −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 0.0386200 0.999254i \(-0.487704\pi\)
0.846069 0.533073i \(-0.178963\pi\)
\(542\) 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 −0.513336 0.858188i \(-0.671590\pi\)
0.858188 + 0.513336i \(0.171590\pi\)
\(548\) −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 0.742282 0.670087i \(-0.233743\pi\)
0.307792 + 0.951454i \(0.400410\pi\)
\(558\) −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 −0.0115606 0.999933i \(-0.503680\pi\)
−0.509978 + 0.860187i \(0.670347\pi\)
\(564\) 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 −0.279292 0.960206i \(-0.590100\pi\)
−0.971209 + 0.238229i \(0.923433\pi\)
\(570\) −11.1826 8.79832i −0.468388 0.368521i
\(571\) 4.11985 + 7.13579i 0.172410 + 0.298623i 0.939262 0.343201i \(-0.111511\pi\)
−0.766852 + 0.641824i \(0.778178\pi\)
\(572\) 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 −0.982279 0.187426i \(-0.939985\pi\)
0.944391 + 0.328824i \(0.106652\pi\)
\(578\) 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 0.587431 0.809275i \(-0.300139\pi\)
−0.809275 + 0.587431i \(0.800139\pi\)
\(588\) −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 0.969720 0.244218i \(-0.0785314\pi\)
−0.961912 + 0.273361i \(0.911865\pi\)
\(594\) 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 −0.344794 0.938678i \(-0.612051\pi\)
0.640522 + 0.767940i \(0.278718\pi\)
\(600\) −3.41977 14.1253i −0.139612 0.576661i
\(601\) 39.9236i 1.62852i −0.580501 0.814259i \(-0.697143\pi\)
0.580501 0.814259i \(-0.302857\pi\)
\(602\) 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 0.490259 0.871577i \(-0.336902\pi\)
0.860365 + 0.509678i \(0.170235\pi\)
\(608\) −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 0.554009 + 0.832510i \(0.313097\pi\)
−0.896041 + 0.443971i \(0.853569\pi\)
\(614\) −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 −0.946558 0.322533i \(-0.895466\pi\)
0.322533 + 0.946558i \(0.395466\pi\)
\(618\) 46.5497 12.4730i 1.87250 0.501736i
\(619\) 4.31138 + 7.46752i 0.173289 + 0.300145i 0.939568 0.342363i \(-0.111227\pi\)
−0.766279 + 0.642508i \(0.777894\pi\)
\(620\) 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 0.738690 0.674046i \(-0.235445\pi\)
−0.953086 + 0.302701i \(0.902112\pi\)
\(642\) −12.8292 + 3.43757i −0.506328 + 0.135670i
\(643\) −8.06230 + 8.06230i −0.317946 + 0.317946i −0.847978 0.530032i \(-0.822180\pi\)
0.530032 + 0.847978i \(0.322180\pi\)
\(644\) −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 −0.998467 0.0553490i \(-0.982373\pi\)
0.892372 + 0.451300i \(0.149040\pi\)
\(648\) −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 −0.131015 0.991380i \(-0.541824\pi\)
0.382228 + 0.924068i \(0.375157\pi\)
\(654\) −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 \(0.141194\pi\)
−0.903223 + 0.429172i \(0.858806\pi\)
\(660\) 14.2947 + 19.1047i 0.556419 + 0.743650i
\(661\) −9.94278 + 5.74047i −0.386729 + 0.223278i −0.680742 0.732523i \(-0.738343\pi\)
0.294013 + 0.955802i \(0.405009\pi\)
\(662\) −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 0.350402 0.936600i \(-0.386045\pi\)
−0.936600 + 0.350402i \(0.886045\pi\)
\(674\) −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 −0.363757 0.931494i \(-0.618506\pi\)
0.150724 + 0.988576i \(0.451840\pi\)
\(678\) −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 −0.800488 0.599349i \(-0.795426\pi\)
0.992917 0.118808i \(-0.0379072\pi\)
\(684\) −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 0.817056 0.576558i \(-0.195605\pi\)
−0.0907861 + 0.995870i \(0.528938\pi\)
\(692\) 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 −0.398349 0.917234i \(-0.630417\pi\)
−0.993522 + 0.113637i \(0.963750\pi\)
\(710\) 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 −0.912384 0.409336i \(-0.865760\pi\)
0.810687 + 0.585480i \(0.199094\pi\)
\(720\) −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 0.945161 0.326606i \(-0.105905\pi\)
−0.326606 + 0.945161i \(0.605905\pi\)
\(728\) 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 −0.914291 0.405057i \(-0.867252\pi\)
0.589271 0.807936i \(-0.299415\pi\)
\(734\) 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 0.0379557 0.999279i \(-0.487915\pi\)
0.884379 + 0.466769i \(0.154582\pi\)
\(740\) 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 0.956327 + 0.292300i \(0.0944206\pi\)
0.292300 + 0.956327i \(0.405579\pi\)
\(744\) −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 −0.644782 0.764366i \(-0.723052\pi\)
0.984352 + 0.176215i \(0.0563853\pi\)
\(752\) 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 0.0845825 0.996416i \(-0.473044\pi\)
0.996416 0.0845825i \(-0.0269557\pi\)
\(758\) 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 0.784506 0.620122i \(-0.212917\pi\)
−0.144788 + 0.989463i \(0.546250\pi\)
\(762\) −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
\(772\)