Properties

Label 70.2.k.a.3.3
Level $70$
Weight $2$
Character 70.3
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 3.3
Root \(0.587308 - 2.01725i\) of defining polynomial
Character \(\chi\) \(=\) 70.3
Dual form 70.2.k.a.47.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 + 0.258819i) q^{2} +(-0.752300 - 2.80762i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-1.38266 + 1.75735i) q^{5} -2.90667i q^{6} +(2.58583 - 0.559876i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-4.71872 + 2.72435i) q^{9} +O(q^{10})\) \(q+(0.965926 + 0.258819i) q^{2} +(-0.752300 - 2.80762i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-1.38266 + 1.75735i) q^{5} -2.90667i q^{6} +(2.58583 - 0.559876i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-4.71872 + 2.72435i) q^{9} +(-1.79038 + 1.33961i) q^{10} +(-1.83557 + 3.17930i) q^{11} +(0.752300 - 2.80762i) 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} +(-0.761471 + 0.204036i) q^{17} +(-5.26305 + 1.41023i) 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} +(1.21791 - 4.54529i) q^{23} +(1.45333 - 2.51725i) q^{24} +(-1.17653 - 4.85961i) q^{25} +(-1.01725 + 0.587308i) q^{26} +(5.03288 + 5.03288i) q^{27} +(2.51934 + 0.808050i) q^{28} -2.62236i q^{29} +(5.10802 + 4.01892i) q^{30} +(0.0359651 + 0.0207644i) q^{31} +(0.258819 + 0.965926i) q^{32} +(10.3072 + 2.76180i) q^{33} -0.788333 q^{34} +(-2.59142 + 5.31832i) q^{35} -5.44871 q^{36} +(-0.248174 - 0.0664979i) q^{37} +(-0.566614 - 2.11463i) q^{38} +(2.95680 + 1.70711i) q^{39} +(-2.22032 + 0.264946i) q^{40} +8.98026i q^{41} +(-1.62737 - 7.51616i) q^{42} +(-0.474569 - 0.474569i) q^{43} +(-3.17930 + 1.83557i) q^{44} +(1.73673 - 12.0593i) q^{45} +(2.35282 - 4.07520i) q^{46} +(1.65648 - 6.18205i) 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} +(-1.13459 + 0.304013i) q^{52} +(-7.64413 + 2.04824i) 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} +(0.678717 - 2.53301i) q^{58} +(-5.35616 + 9.27713i) q^{59} +(3.89379 + 5.20403i) q^{60} +(1.72539 - 0.996157i) q^{61} +(0.0293654 + 0.0293654i) q^{62} +(-10.6765 + 9.68662i) q^{63} +1.00000i q^{64} +(-0.311210 - 2.60802i) q^{65} +(9.24117 + 5.33539i) q^{66} +(-1.71399 - 6.39671i) q^{67} +(-0.761471 - 0.204036i) q^{68} -13.6777 q^{69} +(-3.87960 + 4.46639i) q^{70} +8.11777 q^{71} +(-5.26305 - 1.41023i) q^{72} +(2.55331 + 9.52910i) q^{73} +(-0.222506 - 0.128464i) q^{74} +(-12.7588 + 6.95913i) q^{75} -2.18923i q^{76} +(-2.96647 + 9.24884i) q^{77} +(2.41421 + 2.41421i) q^{78} +(11.6145 - 6.70563i) q^{79} +(-2.21323 - 0.318742i) q^{80} +(2.17114 - 3.76053i) q^{81} +(-2.32426 + 8.67427i) 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} +(-7.36260 + 1.97280i) q^{87} +(-3.54605 + 0.950161i) 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} +(0.0312422 - 0.116597i) q^{93} +(3.20007 - 5.54268i) q^{94} +(4.84527 + 0.697798i) q^{95} +(2.51725 - 1.45333i) q^{96} +(3.16693 + 3.16693i) q^{97} +(6.90533 - 1.14736i) 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 \(\left(\mathbb{Z}/70\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(57\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 + 0.258819i 0.683013 + 0.183013i
\(3\) −0.752300 2.80762i −0.434341 1.62098i −0.742639 0.669692i \(-0.766426\pi\)
0.308298 0.951290i \(-0.400241\pi\)
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) −1.38266 + 1.75735i −0.618342 + 0.785909i
\(6\) 2.90667i 1.18664i
\(7\) 2.58583 0.559876i 0.977353 0.211613i
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) −4.71872 + 2.72435i −1.57291 + 0.908118i
\(10\) −1.79038 + 1.33961i −0.566167 + 0.423621i
\(11\) −1.83557 + 3.17930i −0.553445 + 0.958596i 0.444577 + 0.895741i \(0.353354\pi\)
−0.998023 + 0.0628551i \(0.979979\pi\)
\(12\) 0.752300 2.80762i 0.217170 0.810491i
\(13\) −0.830578 + 0.830578i −0.230361 + 0.230361i −0.812843 0.582482i \(-0.802082\pi\)
0.582482 + 0.812843i \(0.302082\pi\)
\(14\) 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
\(17\) −0.761471 + 0.204036i −0.184684 + 0.0494859i −0.349976 0.936759i \(-0.613810\pi\)
0.165292 + 0.986245i \(0.447143\pi\)
\(18\) −5.26305 + 1.41023i −1.24051 + 0.332394i
\(19\) −1.09461 1.89593i −0.251122 0.434955i 0.712713 0.701455i \(-0.247466\pi\)
−0.963835 + 0.266500i \(0.914133\pi\)
\(20\) −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
\(23\) 1.21791 4.54529i 0.253951 0.947759i −0.714719 0.699411i \(-0.753446\pi\)
0.968671 0.248348i \(-0.0798877\pi\)
\(24\) 1.45333 2.51725i 0.296660 0.513831i
\(25\) −1.17653 4.85961i −0.235306 0.971921i
\(26\) −1.01725 + 0.587308i −0.199498 + 0.115180i
\(27\) 5.03288 + 5.03288i 0.968579 + 0.968579i
\(28\) 2.51934 + 0.808050i 0.476110 + 0.152707i
\(29\) 2.62236i 0.486960i −0.969906 0.243480i \(-0.921711\pi\)
0.969906 0.243480i \(-0.0782891\pi\)
\(30\) 5.10802 + 4.01892i 0.932592 + 0.733751i
\(31\) 0.0359651 + 0.0207644i 0.00645952 + 0.00372940i 0.503226 0.864155i \(-0.332146\pi\)
−0.496767 + 0.867884i \(0.665480\pi\)
\(32\) 0.258819 + 0.965926i 0.0457532 + 0.170753i
\(33\) 10.3072 + 2.76180i 1.79425 + 0.480768i
\(34\) −0.788333 −0.135198
\(35\) −2.59142 + 5.31832i −0.438030 + 0.898960i
\(36\) −5.44871 −0.908118
\(37\) −0.248174 0.0664979i −0.0407995 0.0109322i 0.238362 0.971176i \(-0.423390\pi\)
−0.279161 + 0.960244i \(0.590056\pi\)
\(38\) −0.566614 2.11463i −0.0919169 0.343038i
\(39\) 2.95680 + 1.70711i 0.473466 + 0.273356i
\(40\) −2.22032 + 0.264946i −0.351063 + 0.0418916i
\(41\) 8.98026i 1.40248i 0.712925 + 0.701241i \(0.247370\pi\)
−0.712925 + 0.701241i \(0.752630\pi\)
\(42\) −1.62737 7.51616i −0.251109 1.15977i
\(43\) −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
\(45\) 1.73673 12.0593i 0.258897 1.79769i
\(46\) 2.35282 4.07520i 0.346904 0.600855i
\(47\) 1.65648 6.18205i 0.241622 0.901745i −0.733429 0.679766i \(-0.762081\pi\)
0.975051 0.221980i \(-0.0712518\pi\)
\(48\) 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
\(52\) −1.13459 + 0.304013i −0.157339 + 0.0421590i
\(53\) −7.64413 + 2.04824i −1.05000 + 0.281347i −0.742252 0.670120i \(-0.766242\pi\)
−0.307749 + 0.951468i \(0.599576\pi\)
\(54\) 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
\(58\) 0.678717 2.53301i 0.0891199 0.332600i
\(59\) −5.35616 + 9.27713i −0.697312 + 1.20778i 0.272083 + 0.962274i \(0.412287\pi\)
−0.969395 + 0.245506i \(0.921046\pi\)
\(60\) 3.89379 + 5.20403i 0.502687 + 0.671837i
\(61\) 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
\(63\) −10.6765 + 9.68662i −1.34512 + 1.22040i
\(64\) 1.00000i 0.125000i
\(65\) −0.311210 2.60802i −0.0386008 0.323485i
\(66\) 9.24117 + 5.33539i 1.13751 + 0.656741i
\(67\) −1.71399 6.39671i −0.209398 0.781482i −0.988064 0.154044i \(-0.950770\pi\)
0.778666 0.627438i \(-0.215897\pi\)
\(68\) −0.761471 0.204036i −0.0923420 0.0247430i
\(69\) −13.6777 −1.64660
\(70\) −3.87960 + 4.46639i −0.463701 + 0.533836i
\(71\) 8.11777 0.963402 0.481701 0.876336i \(-0.340019\pi\)
0.481701 + 0.876336i \(0.340019\pi\)
\(72\) −5.26305 1.41023i −0.620256 0.166197i
\(73\) 2.55331 + 9.52910i 0.298843 + 1.11530i 0.938117 + 0.346318i \(0.112568\pi\)
−0.639274 + 0.768979i \(0.720765\pi\)
\(74\) −0.222506 0.128464i −0.0258658 0.0149336i
\(75\) −12.7588 + 6.95913i −1.47326 + 0.803571i
\(76\) 2.18923i 0.251122i
\(77\) −2.96647 + 9.24884i −0.338060 + 1.05400i
\(78\) 2.41421 + 2.41421i 0.273356 + 0.273356i
\(79\) 11.6145 6.70563i 1.30673 0.754443i 0.325184 0.945651i \(-0.394574\pi\)
0.981550 + 0.191208i \(0.0612405\pi\)
\(80\) −2.21323 0.318742i −0.247447 0.0356364i
\(81\) 2.17114 3.76053i 0.241238 0.417836i
\(82\) −2.32426 + 8.67427i −0.256672 + 0.957912i
\(83\) 9.73033 9.73033i 1.06804 1.06804i 0.0705331 0.997509i \(-0.477530\pi\)
0.997509 0.0705331i \(-0.0224700\pi\)
\(84\) 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
\(87\) −7.36260 + 1.97280i −0.789354 + 0.211507i
\(88\) −3.54605 + 0.950161i −0.378010 + 0.101288i
\(89\) −0.715130 1.23864i −0.0758036 0.131296i 0.825632 0.564209i \(-0.190819\pi\)
−0.901435 + 0.432914i \(0.857486\pi\)
\(90\) 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
\(93\) 0.0312422 0.116597i 0.00323967 0.0120906i
\(94\) 3.20007 5.54268i 0.330062 0.571684i
\(95\) 4.84527 + 0.697798i 0.497114 + 0.0715926i
\(96\) 2.51725 1.45333i 0.256915 0.148330i
\(97\) 3.16693 + 3.16693i 0.321553 + 0.321553i 0.849363 0.527810i \(-0.176987\pi\)
−0.527810 + 0.849363i \(0.676987\pi\)
\(98\) 6.90533 1.14736i 0.697544 0.115901i
\(99\) 20.0030i 2.01037i
\(100\) 1.41090 4.79681i 0.141090 0.479681i
\(101\) −0.0622734 0.0359536i −0.00619644 0.00357751i 0.496899 0.867809i \(-0.334472\pi\)
−0.503095 + 0.864231i \(0.667805\pi\)
\(102\) 0.593063 + 2.21334i 0.0587220 + 0.219154i
\(103\) −16.0148 4.29116i −1.57799 0.422820i −0.639685 0.768638i \(-0.720935\pi\)
−0.938302 + 0.345817i \(0.887602\pi\)
\(104\) −1.17462 −0.115180
\(105\) 16.8814 + 3.27476i 1.64745 + 0.319584i
\(106\) −7.91378 −0.768654
\(107\) −4.41372 1.18265i −0.426690 0.114331i 0.0390819 0.999236i \(-0.487557\pi\)
−0.465772 + 0.884905i \(0.654223\pi\)
\(108\) 1.84216 + 6.87505i 0.177262 + 0.661552i
\(109\) 15.6773 + 9.05131i 1.50162 + 0.866958i 0.999998 + 0.00186842i \(0.000594737\pi\)
0.501617 + 0.865090i \(0.332739\pi\)
\(110\) −0.972654 8.15110i −0.0927390 0.777176i
\(111\) 0.746804i 0.0708835i
\(112\) 1.77778 + 1.95946i 0.167985 + 0.185152i
\(113\) 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
\(115\) 6.30371 + 8.42486i 0.587824 + 0.785622i
\(116\) 1.31118 2.27103i 0.121740 0.210860i
\(117\) 1.65648 6.18205i 0.153141 0.571531i
\(118\) −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
\(122\) 1.92443 0.515649i 0.174229 0.0466846i
\(123\) 25.2132 6.75585i 2.27340 0.609155i
\(124\) 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 \(0.937453\pi\)
\(128\) −0.258819 + 0.965926i −0.0228766 + 0.0853766i
\(129\) −0.975392 + 1.68943i −0.0858785 + 0.148746i
\(130\) 0.374399 2.59970i 0.0328370 0.228009i
\(131\) 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
\(133\) −3.89197 4.28970i −0.337477 0.371964i
\(134\) 6.62236i 0.572085i
\(135\) −15.8033 + 1.88577i −1.36013 + 0.162301i
\(136\) −0.682717 0.394167i −0.0585425 0.0337995i
\(137\) −4.90887 18.3201i −0.419393 1.56519i −0.775871 0.630891i \(-0.782689\pi\)
0.356479 0.934303i \(-0.383977\pi\)
\(138\) −13.2117 3.54005i −1.12465 0.301349i
\(139\) −8.23706 −0.698658 −0.349329 0.937000i \(-0.613591\pi\)
−0.349329 + 0.937000i \(0.613591\pi\)
\(140\) −4.90340 + 3.31009i −0.414413 + 0.279754i
\(141\) −18.6030 −1.56666
\(142\) 7.84116 + 2.10103i 0.658016 + 0.176315i
\(143\) −1.11607 4.16524i −0.0933308 0.348315i
\(144\) −4.71872 2.72435i −0.393227 0.227029i
\(145\) 4.60840 + 3.62582i 0.382706 + 0.301108i
\(146\) 9.86525i 0.816454i
\(147\) −12.9239 15.7149i −1.06595 1.29614i
\(148\) −0.181676 0.181676i −0.0149336 0.0149336i
\(149\) −4.19317 + 2.42093i −0.343518 + 0.198330i −0.661826 0.749657i \(-0.730218\pi\)
0.318309 + 0.947987i \(0.396885\pi\)
\(150\) −14.1253 + 3.41977i −1.15332 + 0.279223i
\(151\) −5.02292 + 8.69995i −0.408759 + 0.707992i −0.994751 0.102325i \(-0.967372\pi\)
0.585992 + 0.810317i \(0.300705\pi\)
\(152\) 0.566614 2.11463i 0.0459584 0.171519i
\(153\) 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
\(157\) 23.6523 6.33762i 1.88766 0.505797i 0.888788 0.458320i \(-0.151548\pi\)
0.998872 0.0474774i \(-0.0151182\pi\)
\(158\) 12.9543 3.47109i 1.03059 0.276145i
\(159\) 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
\(163\) −5.68510 + 21.2171i −0.445291 + 1.66185i 0.269875 + 0.962895i \(0.413018\pi\)
−0.715166 + 0.698954i \(0.753649\pi\)
\(164\) −4.49013 + 7.77713i −0.350620 + 0.607292i
\(165\) −19.1047 + 14.2947i −1.48730 + 1.11284i
\(166\) 11.9172 6.88038i 0.924952 0.534021i
\(167\) 3.14616 + 3.14616i 0.243457 + 0.243457i 0.818279 0.574821i \(-0.194928\pi\)
−0.574821 + 0.818279i \(0.694928\pi\)
\(168\) 2.34873 7.32287i 0.181209 0.564972i
\(169\) 11.6203i 0.893868i
\(170\) 1.08999 1.38537i 0.0835987 0.106253i
\(171\) 10.3303 + 5.96423i 0.789981 + 0.456096i
\(172\) −0.173704 0.648273i −0.0132448 0.0494304i
\(173\) −5.04844 1.35273i −0.383826 0.102846i 0.0617463 0.998092i \(-0.480333\pi\)
−0.445572 + 0.895246i \(0.647000\pi\)
\(174\) −7.62233 −0.577847
\(175\) −5.76309 11.9074i −0.435648 0.900117i
\(176\) −3.67114 −0.276723
\(177\) 30.0761 + 8.05888i 2.26066 + 0.605742i
\(178\) −0.370178 1.38152i −0.0277460 0.103550i
\(179\) −10.8847 6.28428i −0.813560 0.469709i 0.0346308 0.999400i \(-0.488974\pi\)
−0.848191 + 0.529691i \(0.822308\pi\)
\(180\) 7.53368 9.57526i 0.561528 0.713698i
\(181\) 11.6742i 0.867740i −0.900976 0.433870i \(-0.857148\pi\)
0.900976 0.433870i \(-0.142852\pi\)
\(182\) −2.30161 + 2.08821i −0.170607 + 0.154789i
\(183\) −4.09485 4.09485i −0.302700 0.302700i
\(184\) 4.07520 2.35282i 0.300428 0.173452i
\(185\) 0.459998 0.344183i 0.0338197 0.0253048i
\(186\) 0.0603553 0.104538i 0.00442546 0.00766513i
\(187\) 0.749044 2.79547i 0.0547755 0.204425i
\(188\) 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 \(-0.356209\pi\)
\(192\) 2.80762 0.752300i 0.202623 0.0542926i
\(193\) −8.69132 + 2.32883i −0.625615 + 0.167633i −0.557679 0.830057i \(-0.688308\pi\)
−0.0679359 + 0.997690i \(0.521641\pi\)
\(194\) 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 \(0.0394061\pi\)
\(198\) 5.17715 19.3214i 0.367924 1.37311i
\(199\) −4.36557 + 7.56140i −0.309467 + 0.536013i −0.978246 0.207448i \(-0.933484\pi\)
0.668779 + 0.743462i \(0.266817\pi\)
\(200\) 2.60433 4.26819i 0.184154 0.301807i
\(201\) −16.6701 + 9.62450i −1.17582 + 0.678860i
\(202\) −0.0508460 0.0508460i −0.00357751 0.00357751i
\(203\) −1.46820 6.78099i −0.103047 0.475932i
\(204\) 2.29142i 0.160432i
\(205\) −15.7814 12.4166i −1.10222 0.867213i
\(206\) −14.3585 8.28988i −1.00040 0.577583i
\(207\) 6.63602 + 24.7660i 0.461235 + 1.72135i
\(208\) −1.13459 0.304013i −0.0786697 0.0210795i
\(209\) 8.03696 0.555928
\(210\) 15.4586 + 7.53240i 1.06674 + 0.519785i
\(211\) −11.1745 −0.769288 −0.384644 0.923065i \(-0.625676\pi\)
−0.384644 + 0.923065i \(0.625676\pi\)
\(212\) −7.64413 2.04824i −0.525001 0.140674i
\(213\) −6.10700 22.7916i −0.418445 1.56166i
\(214\) −3.95723 2.28471i −0.270511 0.156179i
\(215\) 1.49015 0.177816i 0.101627 0.0121270i
\(216\) 7.11757i 0.484289i
\(217\) 0.104625 + 0.0335574i 0.00710242 + 0.00227803i
\(218\) 12.8005 + 12.8005i 0.866958 + 0.866958i
\(219\) 24.8333 14.3375i 1.67808 0.968838i
\(220\) 1.17015 8.12509i 0.0788913 0.547794i
\(221\) 0.462994 0.801929i 0.0311443 0.0539436i
\(222\) −0.193287 + 0.721358i −0.0129726 + 0.0484143i
\(223\) −0.746804 + 0.746804i −0.0500097 + 0.0500097i −0.731669 0.681660i \(-0.761258\pi\)
0.681660 + 0.731669i \(0.261258\pi\)
\(224\) 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
\(227\) −3.01404 + 0.807609i −0.200049 + 0.0536029i −0.357452 0.933932i \(-0.616354\pi\)
0.157403 + 0.987534i \(0.449688\pi\)
\(228\) −6.14653 + 1.64696i −0.407064 + 0.109072i
\(229\) −4.21091 7.29350i −0.278264 0.481968i 0.692689 0.721236i \(-0.256426\pi\)
−0.970954 + 0.239268i \(0.923093\pi\)
\(230\) 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
\(233\) −5.90027 + 22.0201i −0.386540 + 1.44259i 0.449186 + 0.893439i \(0.351714\pi\)
−0.835725 + 0.549148i \(0.814952\pi\)
\(234\) 3.20007 5.54268i 0.209195 0.362336i
\(235\) 8.57367 + 11.4587i 0.559285 + 0.747480i
\(236\) −9.27713 + 5.35616i −0.603890 + 0.348656i
\(237\) −27.5645 27.5645i −1.79051 1.79051i
\(238\) −2.03850 + 0.441369i −0.132136 + 0.0286097i
\(239\) 23.9971i 1.55224i −0.630585 0.776120i \(-0.717185\pi\)
0.630585 0.776120i \(-0.282815\pi\)
\(240\) 0.770110 + 6.45372i 0.0497104 + 0.416586i
\(241\) −21.4666 12.3937i −1.38278 0.798350i −0.390295 0.920690i \(-0.627627\pi\)
−0.992488 + 0.122340i \(0.960960\pi\)
\(242\) −0.641168 2.39287i −0.0412158 0.153820i
\(243\) 8.43364 + 2.25979i 0.541018 + 0.144965i
\(244\) 1.99231 0.127545
\(245\) −3.72338 + 15.2032i −0.237878 + 0.971295i
\(246\) 26.1026 1.66424
\(247\) 2.48388 + 0.665553i 0.158045 + 0.0423481i
\(248\) 0.0107485 + 0.0401138i 0.000682528 + 0.00254723i
\(249\) −34.6392 19.9990i −2.19517 1.26738i
\(250\) 8.61640 + 7.12444i 0.544949 + 0.450589i
\(251\) 11.1158i 0.701623i 0.936446 + 0.350811i \(0.114094\pi\)
−0.936446 + 0.350811i \(0.885906\pi\)
\(252\) −14.0895 + 3.05060i −0.887552 + 0.192170i
\(253\) 12.2153 + 12.2153i 0.767970 + 0.767970i
\(254\) −16.2312 + 9.37110i −1.01844 + 0.587995i
\(255\) −5.07145 0.730372i −0.317587 0.0457377i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −6.54637 + 24.4314i −0.408351 + 1.52399i 0.389439 + 0.921052i \(0.372669\pi\)
−0.797790 + 0.602935i \(0.793998\pi\)
\(258\) −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
\(262\) 13.7110 3.67384i 0.847066 0.226971i
\(263\) −10.9595 + 2.93659i −0.675792 + 0.181078i −0.580363 0.814358i \(-0.697089\pi\)
−0.0954297 + 0.995436i \(0.530423\pi\)
\(264\) 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
\(268\) 1.71399 6.39671i 0.104699 0.390741i
\(269\) 4.03346 6.98616i 0.245924 0.425954i −0.716467 0.697621i \(-0.754242\pi\)
0.962391 + 0.271668i \(0.0875752\pi\)
\(270\) −15.7529 2.26867i −0.958688 0.138067i
\(271\) 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
\(273\) 8.60155 + 2.75885i 0.520590 + 0.166974i
\(274\) 18.9664i 1.14580i
\(275\) 17.6098 + 5.17962i 1.06191 + 0.312343i
\(276\) −11.8452 6.83885i −0.713000 0.411651i
\(277\) 1.47009 + 5.48646i 0.0883293 + 0.329650i 0.995924 0.0901983i \(-0.0287501\pi\)
−0.907594 + 0.419848i \(0.862083\pi\)
\(278\) −7.95639 2.13191i −0.477193 0.127863i
\(279\) −0.226279 −0.0135470
\(280\) −5.59303 + 1.92821i −0.334248 + 0.115233i
\(281\) 7.27627 0.434066 0.217033 0.976164i \(-0.430362\pi\)
0.217033 + 0.976164i \(0.430362\pi\)
\(282\) −17.9692 4.81482i −1.07005 0.286719i
\(283\) −1.99550 7.44729i −0.118620 0.442696i 0.880912 0.473280i \(-0.156930\pi\)
−0.999532 + 0.0305840i \(0.990263\pi\)
\(284\) 7.03019 + 4.05888i 0.417165 + 0.240850i
\(285\) −1.68594 14.1287i −0.0998667 0.836909i
\(286\) 4.31218i 0.254984i
\(287\) 5.02784 + 23.2215i 0.296784 + 1.37072i
\(288\) −3.85282 3.85282i −0.227029 0.227029i
\(289\) −14.1842 + 8.18927i −0.834366 + 0.481721i
\(290\) 3.51294 + 4.69502i 0.206287 + 0.275701i
\(291\) 6.50906 11.2740i 0.381568 0.660895i
\(292\) −2.55331 + 9.52910i −0.149421 + 0.557648i
\(293\) −3.35198 + 3.35198i −0.195824 + 0.195824i −0.798207 0.602383i \(-0.794218\pi\)
0.602383 + 0.798207i \(0.294218\pi\)
\(294\) −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
\(297\) −25.2393 + 6.76284i −1.46453 + 0.392420i
\(298\) −4.67687 + 1.25316i −0.270924 + 0.0725938i
\(299\) 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
\(303\) −0.0540958 + 0.201888i −0.00310772 + 0.0115982i
\(304\) 1.09461 1.89593i 0.0627804 0.108739i
\(305\) −0.635034 + 4.40946i −0.0363619 + 0.252485i
\(306\) 3.71992 2.14770i 0.212654 0.122776i
\(307\) 1.06546 + 1.06546i 0.0608089 + 0.0608089i 0.736857 0.676048i \(-0.236309\pi\)
−0.676048 + 0.736857i \(0.736309\pi\)
\(308\) −7.19345 + 6.52650i −0.409885 + 0.371882i
\(309\) 48.1918i 2.74154i
\(310\) −0.0922072 + 0.0110029i −0.00523702 + 0.000624923i
\(311\) 11.9584 + 6.90417i 0.678097 + 0.391500i 0.799138 0.601148i \(-0.205290\pi\)
−0.121040 + 0.992648i \(0.538623\pi\)
\(312\) 0.883663 + 3.29788i 0.0500276 + 0.186706i
\(313\) 22.5515 + 6.04266i 1.27469 + 0.341551i 0.831825 0.555038i \(-0.187296\pi\)
0.442863 + 0.896590i \(0.353963\pi\)
\(314\) 24.4867 1.38186
\(315\) −2.26080 32.1556i −0.127381 1.81176i
\(316\) 13.4113 0.754443
\(317\) −12.7394 3.41352i −0.715518 0.191722i −0.117347 0.993091i \(-0.537439\pi\)
−0.598171 + 0.801369i \(0.704106\pi\)
\(318\) 5.95354 + 22.2189i 0.333858 + 1.24598i
\(319\) 8.33728 + 4.81353i 0.466798 + 0.269506i
\(320\) −1.75735 1.38266i −0.0982386 0.0772928i
\(321\) 13.2818i 0.741316i
\(322\) 3.80239 11.8551i 0.211899 0.660658i
\(323\) 1.22035 + 1.22035i 0.0679023 + 0.0679023i
\(324\) 3.76053 2.17114i 0.208918 0.120619i
\(325\) 5.01348 + 3.05909i 0.278098 + 0.169688i
\(326\) −10.9828 + 19.0227i −0.608279 + 1.05357i
\(327\) 13.6186 50.8253i 0.753111 2.81065i
\(328\) −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 \(0.657472\pi\)
\(332\) 13.2919 3.56155i 0.729487 0.195465i
\(333\) 1.35222 0.362328i 0.0741015 0.0198554i
\(334\) 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 \(0.244014\pi\)
\(338\) −3.00755 + 11.2243i −0.163589 + 0.610523i
\(339\) 3.12540 5.41335i 0.169748 0.294013i
\(340\) 1.41141 1.05606i 0.0765447 0.0572728i
\(341\) −0.132033 + 0.0762292i −0.00714998 + 0.00412804i
\(342\) 8.43469 + 8.43469i 0.456096 + 0.456096i
\(343\) 14.8586 11.0554i 0.802289 0.596936i
\(344\) 0.671142i 0.0361855i
\(345\) 18.9116 24.0365i 1.01816 1.29408i
\(346\) −4.52631 2.61327i −0.243336 0.140490i
\(347\) 0.986094 + 3.68015i 0.0529363 + 0.197561i 0.987330 0.158682i \(-0.0507243\pi\)
−0.934393 + 0.356243i \(0.884058\pi\)
\(348\) −7.36260 1.97280i −0.394677 0.105753i
\(349\) 7.91303 0.423575 0.211787 0.977316i \(-0.432072\pi\)
0.211787 + 0.977316i \(0.432072\pi\)
\(350\) −2.48484 12.9933i −0.132820 0.694520i
\(351\) −8.36041 −0.446246
\(352\) −3.54605 0.950161i −0.189005 0.0506438i
\(353\) −6.67203 24.9004i −0.355116 1.32531i −0.880338 0.474347i \(-0.842684\pi\)
0.525222 0.850965i \(-0.323982\pi\)
\(354\) 26.9655 + 15.5686i 1.43320 + 0.827459i
\(355\) −11.2241 + 14.2657i −0.595712 + 0.757146i
\(356\) 1.43026i 0.0758036i
\(357\) 4.07365 + 4.48995i 0.215601 + 0.237633i
\(358\) −8.88731 8.88731i −0.469709 0.469709i
\(359\) −8.99497 + 5.19325i −0.474737 + 0.274089i −0.718220 0.695816i \(-0.755043\pi\)
0.243484 + 0.969905i \(0.421710\pi\)
\(360\) 9.75524 7.29913i 0.514146 0.384698i
\(361\) 7.10364 12.3039i 0.373876 0.647572i
\(362\) 3.02152 11.2765i 0.158807 0.592677i
\(363\) −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
\(367\) −8.39004 + 2.24811i −0.437957 + 0.117350i −0.471059 0.882102i \(-0.656128\pi\)
0.0331020 + 0.999452i \(0.489461\pi\)
\(368\) 4.54529 1.21791i 0.236940 0.0634878i
\(369\) −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
\(373\) 3.44476 12.8560i 0.178363 0.665660i −0.817591 0.575799i \(-0.804691\pi\)
0.995954 0.0898611i \(-0.0286423\pi\)
\(374\) 1.44704 2.50635i 0.0748247 0.129600i
\(375\) 5.41149 32.0438i 0.279448 1.65473i
\(376\) 5.54268 3.20007i 0.285842 0.165031i
\(377\) 2.17808 + 2.17808i 0.112177 + 0.112177i
\(378\) 12.6535 + 13.9466i 0.650826 + 0.717336i
\(379\) 25.3453i 1.30190i 0.759121 + 0.650949i \(0.225629\pi\)
−0.759121 + 0.650949i \(0.774371\pi\)
\(380\) 3.84723 + 3.02695i 0.197359 + 0.155279i
\(381\) 47.1788 + 27.2387i 2.41704 + 1.39548i
\(382\) −4.01258 14.9751i −0.205301 0.766195i
\(383\) 17.7739 + 4.76251i 0.908205 + 0.243353i 0.682537 0.730851i \(-0.260877\pi\)
0.225668 + 0.974204i \(0.427543\pi\)
\(384\) 2.90667 0.148330
\(385\) −12.1518 18.0011i −0.619314 0.917419i
\(386\) −8.99792 −0.457982
\(387\) 3.53225 + 0.946464i 0.179554 + 0.0481114i
\(388\) 1.15918 + 4.32611i 0.0588483 + 0.219625i
\(389\) 19.3621 + 11.1787i 0.981699 + 0.566784i 0.902783 0.430097i \(-0.141521\pi\)
0.0789164 + 0.996881i \(0.474854\pi\)
\(390\) −7.58063 + 0.904582i −0.383860 + 0.0458053i
\(391\) 3.70961i 0.187603i
\(392\) 6.55387 + 2.45902i 0.331020 + 0.124199i
\(393\) −29.1745 29.1745i −1.47166 1.47166i
\(394\) 14.9359 8.62324i 0.752459 0.434432i
\(395\) −4.27473 + 29.6823i −0.215085 + 1.49348i
\(396\) 10.0015 17.3231i 0.502594 0.870518i
\(397\) −4.08518 + 15.2461i −0.205029 + 0.765181i 0.784411 + 0.620241i \(0.212965\pi\)
−0.989441 + 0.144939i \(0.953701\pi\)
\(398\) −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 \(0.946754\pi\)
\(402\) −18.5931 + 4.98201i −0.927339 + 0.248480i
\(403\) −0.0471183 + 0.0126253i −0.00234713 + 0.000628911i
\(404\) −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
\(408\) −0.593063 + 2.21334i −0.0293610 + 0.109577i
\(409\) 0.156681 0.271379i 0.00774737 0.0134188i −0.862126 0.506694i \(-0.830867\pi\)
0.869873 + 0.493276i \(0.164201\pi\)
\(410\) −12.0300 16.0781i −0.594121 0.794038i
\(411\) −47.7431 + 27.5645i −2.35499 + 1.35966i
\(412\) −11.7237 11.7237i −0.577583 0.577583i
\(413\) −8.65608 + 26.9879i −0.425938 + 1.32799i
\(414\) 25.6396i 1.26012i
\(415\) 3.64586 + 30.5532i 0.178968 + 1.49980i
\(416\) −1.01725 0.587308i −0.0498746 0.0287951i
\(417\) 6.19675 + 23.1266i 0.303456 + 1.13251i
\(418\) 7.76311 + 2.08012i 0.379706 + 0.101742i
\(419\) −31.6254 −1.54500 −0.772501 0.635014i \(-0.780994\pi\)
−0.772501 + 0.635014i \(0.780994\pi\)
\(420\) 12.9823 + 11.2767i 0.633472 + 0.550247i
\(421\) 24.2137 1.18011 0.590053 0.807365i \(-0.299107\pi\)
0.590053 + 0.807365i \(0.299107\pi\)
\(422\) −10.7938 2.89219i −0.525433 0.140789i
\(423\) 9.02565 + 33.6842i 0.438842 + 1.63778i
\(424\) −6.85354 3.95689i −0.332837 0.192164i
\(425\) 1.88743 + 3.46040i 0.0915536 + 0.167854i
\(426\) 23.5956i 1.14321i
\(427\) 3.90386 3.54190i 0.188921 0.171405i
\(428\) −3.23107 3.23107i −0.156179 0.156179i
\(429\) −10.8548 + 6.26703i −0.524075 + 0.302575i
\(430\) 1.48539 + 0.213921i 0.0716320 + 0.0103162i
\(431\) −0.779037 + 1.34933i −0.0375249 + 0.0649950i −0.884178 0.467150i \(-0.845281\pi\)
0.846653 + 0.532145i \(0.178614\pi\)
\(432\) −1.84216 + 6.87505i −0.0886311 + 0.330776i
\(433\) −6.28166 + 6.28166i −0.301877 + 0.301877i −0.841748 0.539871i \(-0.818473\pi\)
0.539871 + 0.841748i \(0.318473\pi\)
\(434\) 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
\(437\) −9.95068 + 2.66628i −0.476006 + 0.127545i
\(438\) 27.6979 7.42163i 1.32346 0.354619i
\(439\) −11.9571 20.7103i −0.570681 0.988449i −0.996496 0.0836389i \(-0.973346\pi\)
0.425815 0.904810i \(-0.359988\pi\)
\(440\) 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
\(443\) 3.32895 12.4238i 0.158163 0.590272i −0.840651 0.541578i \(-0.817827\pi\)
0.998814 0.0486946i \(-0.0155061\pi\)
\(444\) −0.373402 + 0.646751i −0.0177209 + 0.0306935i
\(445\) 3.16550 + 0.455884i 0.150059 + 0.0216110i
\(446\) −0.914645 + 0.528070i −0.0433097 + 0.0250049i
\(447\) 9.95157 + 9.95157i 0.470693 + 0.470693i
\(448\) 0.559876 + 2.58583i 0.0264517 + 0.122169i
\(449\) 17.8932i 0.844435i −0.906495 0.422217i \(-0.861252\pi\)
0.906495 0.422217i \(-0.138748\pi\)
\(450\) 13.0453 + 23.9172i 0.614960 + 1.12747i
\(451\) −28.5510 16.4839i −1.34441 0.776197i
\(452\) 0.556592 + 2.07723i 0.0261799 + 0.0977046i
\(453\) 28.2049 + 7.55749i 1.32518 + 0.355082i
\(454\) −3.12036 −0.146446
\(455\) −2.26490 6.56966i −0.106180 0.307990i
\(456\) −6.36335 −0.297991
\(457\) −33.0454 8.85449i −1.54580 0.414196i −0.617665 0.786442i \(-0.711921\pi\)
−0.928134 + 0.372246i \(0.878588\pi\)
\(458\) −2.17973 8.13485i −0.101852 0.380116i
\(459\) −4.85928 2.80551i −0.226812 0.130950i
\(460\) 1.24674 + 10.4480i 0.0581295 + 0.487140i
\(461\) 23.3471i 1.08738i −0.839286 0.543690i \(-0.817027\pi\)
0.839286 0.543690i \(-0.182973\pi\)
\(462\) 26.8833 + 8.62252i 1.25072 + 0.401156i
\(463\) 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
\(465\) 0.161705 + 0.216117i 0.00749888 + 0.0100222i
\(466\) −11.3985 + 19.7427i −0.528023 + 0.914563i
\(467\) −1.26454 + 4.71932i −0.0585159 + 0.218384i −0.988992 0.147968i \(-0.952727\pi\)
0.930476 + 0.366352i \(0.119393\pi\)
\(468\) 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
\(472\) −10.3473 + 2.77255i −0.476273 + 0.127617i
\(473\) 2.37990 0.637693i 0.109428 0.0293212i
\(474\) −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
\(478\) 6.21090 23.1794i 0.284080 1.06020i
\(479\) 8.55572 14.8189i 0.390921 0.677094i −0.601651 0.798759i \(-0.705490\pi\)
0.992571 + 0.121665i \(0.0388234\pi\)
\(480\) −0.926476 + 6.43313i −0.0422877 + 0.293631i
\(481\) 0.261359 0.150896i 0.0119170 0.00688026i
\(482\) −17.5274 17.5274i −0.798350 0.798350i
\(483\) −35.3683 + 7.65783i −1.60931 + 0.348443i
\(484\) 2.47728i 0.112604i
\(485\) −9.94416 + 1.18662i −0.451541 + 0.0538815i
\(486\) 7.56140 + 4.36557i 0.342992 + 0.198026i
\(487\) 0.0337240 + 0.125860i 0.00152818 + 0.00570325i 0.966686 0.255966i \(-0.0823936\pi\)
−0.965158 + 0.261670i \(0.915727\pi\)
\(488\) 1.92443 + 0.515649i 0.0871147 + 0.0233423i
\(489\) 63.8465 2.88724
\(490\) −7.53138 + 13.7215i −0.340233 + 0.619872i
\(491\) 26.9895 1.21802 0.609011 0.793162i \(-0.291567\pi\)
0.609011 + 0.793162i \(0.291567\pi\)
\(492\) 25.2132 + 6.75585i 1.13670 + 0.304577i
\(493\) 0.535055 + 1.99685i 0.0240977 + 0.0899337i
\(494\) 2.22698 + 1.28575i 0.100197 + 0.0578486i
\(495\) 35.1521 + 27.6572i 1.57997 + 1.24310i
\(496\) 0.0415289i 0.00186470i
\(497\) 20.9912 4.54495i 0.941584 0.203869i
\(498\) −28.2828 28.2828i −1.26738 1.26738i
\(499\) 0.0833977 0.0481497i 0.00373339 0.00215548i −0.498132 0.867101i \(-0.665981\pi\)
0.501866 + 0.864946i \(0.332647\pi\)
\(500\) 6.47886 + 9.11177i 0.289743 + 0.407491i
\(501\) 6.46638 11.2001i 0.288897 0.500384i
\(502\) −2.87698 + 10.7370i −0.128406 + 0.479217i
\(503\) 13.6334 13.6334i 0.607883 0.607883i −0.334509 0.942392i \(-0.608571\pi\)
0.942392 + 0.334509i \(0.108571\pi\)
\(504\) −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
\(507\) 32.6254 8.74194i 1.44894 0.388243i
\(508\) −18.1036 + 4.85084i −0.803217 + 0.215221i
\(509\) 6.16366 + 10.6758i 0.273199 + 0.473195i 0.969679 0.244381i \(-0.0785848\pi\)
−0.696480 + 0.717576i \(0.745251\pi\)
\(510\) −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
\(513\) 4.03291 15.0510i 0.178057 0.664520i
\(514\) −12.6466 + 21.9046i −0.557818 + 0.966169i
\(515\) 29.6840 22.2104i 1.30803 0.978706i
\(516\) −1.68943 + 0.975392i −0.0743730 + 0.0429393i
\(517\) 16.6140 + 16.6140i 0.730684 + 0.730684i
\(518\) −0.647288 0.207611i −0.0284402 0.00912189i
\(519\) 15.1918i 0.666845i
\(520\) 1.62409 2.06420i 0.0712210 0.0905214i
\(521\) 14.1415 + 8.16461i 0.619551 + 0.357698i 0.776694 0.629878i \(-0.216895\pi\)
−0.157143 + 0.987576i \(0.550228\pi\)
\(522\) 3.69813 + 13.8016i 0.161863 + 0.604080i
\(523\) −26.4703 7.09270i −1.15747 0.310142i −0.371512 0.928428i \(-0.621161\pi\)
−0.785953 + 0.618286i \(0.787827\pi\)
\(524\) 14.1946 0.620095
\(525\) −29.0960 + 25.1385i −1.26985 + 1.09714i
\(526\) −11.3461 −0.494714
\(527\) −0.0316231 0.00847337i −0.00137752 0.000369106i
\(528\) 2.76180 + 10.3072i 0.120192 + 0.448563i
\(529\) 0.742186 + 0.428501i 0.0322689 + 0.0186305i
\(530\) 10.9420 13.9073i 0.475292 0.604092i
\(531\) 58.3682i 2.53297i
\(532\) −1.22570 5.66098i −0.0531407 0.245435i
\(533\) −7.45881 7.45881i −0.323077 0.323077i
\(534\) −3.60031 + 2.07864i −0.155801 + 0.0899517i
\(535\) 8.18098 6.12123i 0.353695 0.264644i
\(536\) 3.31118 5.73513i 0.143021 0.247720i
\(537\) −9.45533 + 35.2878i −0.408028 + 1.52278i
\(538\) 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 \(0.487704\pi\)
\(542\) 8.11330 2.17395i 0.348496 0.0933793i
\(543\) −32.7769 + 8.78254i −1.40659 + 0.376895i
\(544\) −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 \(0.171590\pi\)
\(548\) 4.90887 18.3201i 0.209696 0.782597i
\(549\) −5.42777 + 9.40117i −0.231651 + 0.401232i
\(550\) 15.6691 + 9.56087i 0.668134 + 0.407677i
\(551\) −4.97180 + 2.87047i −0.211806 + 0.122286i
\(552\) −9.67160 9.67160i −0.411651 0.411651i
\(553\) 26.2788 23.8423i 1.11749 1.01388i
\(554\) 5.68000i 0.241320i
\(555\) −1.31239 1.03257i −0.0557080 0.0438303i
\(556\) −7.13350 4.11853i −0.302528 0.174665i
\(557\) −6.64049 24.7826i −0.281367 1.05007i −0.951454 0.307792i \(-0.900410\pi\)
0.670087 0.742282i \(-0.266257\pi\)
\(558\) −0.218568 0.0585652i −0.00925274 0.00247926i
\(559\) 0.788333 0.0333429
\(560\) −5.90151 + 0.414924i −0.249384 + 0.0175337i
\(561\) −8.41213 −0.355160
\(562\) 7.02834 + 1.88324i 0.296473 + 0.0794396i
\(563\) −3.31584 12.3749i −0.139746 0.521539i −0.999933 0.0115606i \(-0.996320\pi\)
0.860187 0.509978i \(-0.170347\pi\)
\(564\) −16.1107 9.30152i −0.678383 0.391665i
\(565\) −4.77480 + 0.569768i −0.200877 + 0.0239703i
\(566\) 7.71000i 0.324076i
\(567\) 3.50878 10.9397i 0.147355 0.459423i
\(568\) 5.74013 + 5.74013i 0.240850 + 0.240850i
\(569\) 29.8291 17.2218i 1.25050 0.721977i 0.279292 0.960206i \(-0.409900\pi\)
0.971209 + 0.238229i \(0.0765669\pi\)
\(570\) 2.02827 14.0836i 0.0849547 0.589896i
\(571\) 4.11985 7.13579i 0.172410 0.298623i −0.766852 0.641824i \(-0.778178\pi\)
0.939262 + 0.343201i \(0.111511\pi\)
\(572\) 1.11607 4.16524i 0.0466654 0.174158i
\(573\) −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
\(577\) −3.39649 + 0.910086i −0.141398 + 0.0378874i −0.328824 0.944391i \(-0.606652\pi\)
0.187426 + 0.982279i \(0.439985\pi\)
\(578\) −15.8204 + 4.23908i −0.658044 + 0.176322i
\(579\) 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
\(583\) 7.51937 28.0627i 0.311421 1.16224i
\(584\) −4.93262 + 8.54355i −0.204113 + 0.353535i
\(585\) 8.57367 + 11.4587i 0.354478 + 0.473757i
\(586\) −4.10531 + 2.37020i −0.169589 + 0.0979122i
\(587\) 5.37485 + 5.37485i 0.221844 + 0.221844i 0.809275 0.587431i \(-0.199861\pi\)
−0.587431 + 0.809275i \(0.699861\pi\)
\(588\) −3.33499 20.0715i −0.137533 0.827734i
\(589\) 0.0909162i 0.00374613i
\(590\) −2.83818 23.7847i −0.116846 0.979201i
\(591\) −43.4136 25.0649i −1.78580 1.03103i
\(592\) −0.0664979 0.248174i −0.00273305 0.0101999i
\(593\) 0.709668 + 0.190155i 0.0291426 + 0.00780872i 0.273361 0.961912i \(-0.411865\pi\)
−0.244218 + 0.969720i \(0.578531\pi\)
\(594\) −26.1296 −1.07211
\(595\) 0.888166 4.57849i 0.0364113 0.187700i
\(596\) −4.84185 −0.198330
\(597\) 24.5138 + 6.56845i 1.00328 + 0.268829i
\(598\) 1.43057 + 5.33897i 0.0585005 + 0.218327i
\(599\) −7.23778 4.17873i −0.295727 0.170738i 0.344794 0.938678i \(-0.387949\pi\)
−0.640522 + 0.767940i \(0.721282\pi\)
\(600\) −13.9427 4.10102i −0.569209 0.167423i
\(601\) 39.9236i 1.62852i 0.580501 + 0.814259i \(0.302857\pi\)
−0.580501 + 0.814259i \(0.697143\pi\)
\(602\) −1.19315 1.31508i −0.0486290 0.0535985i
\(603\) 25.5147 + 25.5147i 1.03904 + 1.03904i
\(604\) −8.69995 + 5.02292i −0.353996 + 0.204380i
\(605\) 5.48280 + 0.789613i 0.222908 + 0.0321024i
\(606\) −0.104505 + 0.181008i −0.00424523 + 0.00735295i
\(607\) 8.91623 33.2758i 0.361899 1.35062i −0.509678 0.860365i \(-0.670235\pi\)
0.871577 0.490259i \(-0.163098\pi\)
\(608\) 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
\(612\) 4.14903 1.11173i 0.167715 0.0449390i
\(613\) 31.6042 8.46832i 1.27648 0.342032i 0.443971 0.896041i \(-0.353569\pi\)
0.832510 + 0.554009i \(0.186903\pi\)
\(614\) 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 \(0.395466\pi\)
\(618\) −12.4730 + 46.5497i −0.501736 + 1.87250i
\(619\) −4.31138 + 7.46752i −0.173289 + 0.300145i −0.939568 0.342363i \(-0.888773\pi\)
0.766279 + 0.642508i \(0.222106\pi\)
\(620\) −0.0919131 0.0132370i −0.00369132 0.000531611i
\(621\) 29.0055 16.7463i 1.16395 0.672008i
\(622\) 9.76397 + 9.76397i 0.391500 + 0.391500i
\(623\) −2.54269 2.80254i −0.101871 0.112281i
\(624\) 3.41421i 0.136678i
\(625\) −22.2316 + 11.4349i −0.889263 + 0.457397i
\(626\) 20.2191 + 11.6735i 0.808119 + 0.466568i
\(627\) −6.04621 22.5648i −0.241462 0.901150i
\(628\) 23.6523 + 6.33762i 0.943830 + 0.252898i
\(629\) 0.202545 0.00807600
\(630\) 6.13872 31.6451i 0.244572 1.26077i
\(631\) −4.13675 −0.164682 −0.0823408 0.996604i \(-0.526240\pi\)
−0.0823408 + 0.996604i \(0.526240\pi\)
\(632\) 12.9543 + 3.47109i 0.515294 + 0.138073i
\(633\) 8.40662 + 31.3739i 0.334133 + 1.24700i
\(634\) −11.4219 6.59442i −0.453620 0.261898i
\(635\) −4.96567 41.6136i −0.197057 1.65139i
\(636\) 23.0027i 0.912117i
\(637\) −2.88840 + 7.69827i −0.114443 + 0.305017i
\(638\) 6.80736 + 6.80736i 0.269506 + 0.269506i
\(639\) −38.3055 + 22.1157i −1.51534 + 0.874882i
\(640\) −1.33961 1.79038i −0.0529527 0.0707709i
\(641\) −5.42807 + 9.40169i −0.214396 + 0.371345i −0.953086 0.302701i \(-0.902112\pi\)
0.738690 + 0.674046i \(0.235445\pi\)
\(642\) −3.43757 + 12.8292i −0.135670 + 0.506328i
\(643\) 8.06230 8.06230i 0.317946 0.317946i −0.530032 0.847978i \(-0.677820\pi\)
0.847978 + 0.530032i \(0.177820\pi\)
\(644\) 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
\(647\) −10.0715 + 2.69865i −0.395951 + 0.106095i −0.451300 0.892372i \(-0.649040\pi\)
0.0553490 + 0.998467i \(0.482373\pi\)
\(648\) 4.19432 1.12387i 0.164769 0.0441496i
\(649\) −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
\(653\) −1.72009 + 6.41946i −0.0673123 + 0.251213i −0.991380 0.131015i \(-0.958176\pi\)
0.924068 + 0.382228i \(0.124843\pi\)
\(654\) 26.3091 45.5687i 1.02877 1.78188i
\(655\) −4.52442 + 31.4160i −0.176784 + 1.22753i
\(656\) −7.77713 + 4.49013i −0.303646 + 0.175310i
\(657\) −38.0090 38.0090i −1.48287 1.48287i
\(658\) 5.17163 16.1241i 0.201611 0.628582i
\(659\) 22.0345i 0.858343i 0.903223 + 0.429172i \(0.141194\pi\)
−0.903223 + 0.429172i \(0.858806\pi\)
\(660\) −23.6925 + 2.82718i −0.922230 + 0.110048i
\(661\) −9.94278 5.74047i −0.386729 0.223278i 0.294013 0.955802i \(-0.405009\pi\)
−0.680742 + 0.732523i \(0.738343\pi\)
\(662\) 4.94240 + 18.4453i 0.192092 + 0.716897i
\(663\) −2.59983 0.696621i −0.100969 0.0270545i
\(664\) 13.7608 0.534021
\(665\) 12.9197 0.908362i 0.501006 0.0352248i
\(666\) 1.39993 0.0542460
\(667\) −11.9194 3.19379i −0.461521 0.123664i
\(668\) 1.15158 + 4.29774i 0.0445558 + 0.166285i
\(669\) 2.65857 + 1.53492i 0.102786 + 0.0593436i
\(670\) 11.6378 + 9.15644i 0.449607 + 0.353744i
\(671\) 7.31407i 0.282356i
\(672\) 5.69550 5.16742i 0.219708 0.199338i
\(673\) −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
\(675\) 18.5365 30.3792i 0.713471 1.16929i
\(676\) −5.81014 + 10.0635i −0.223467 + 0.387056i
\(677\) −1.48523 + 5.54296i −0.0570821 + 0.213033i −0.988576 0.150724i \(-0.951840\pi\)
0.931494 + 0.363757i \(0.118506\pi\)
\(678\) 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
\(682\) −0.147264 + 0.0394591i −0.00563901 + 0.00151097i
\(683\) −18.7685 + 5.02900i −0.718157 + 0.192430i −0.599349 0.800488i \(-0.704574\pi\)
−0.118808 + 0.992917i \(0.537907\pi\)
\(684\) 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
\(688\) 0.173704 0.648273i 0.00662241 0.0247152i
\(689\) 4.64782 8.05027i 0.177068 0.306691i
\(690\) 24.4883 18.3228i 0.932252 0.697536i
\(691\) 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
\(693\) −11.1992 51.7244i −0.425422 1.96485i
\(694\) 3.80998i 0.144625i
\(695\) 11.3890 14.4754i 0.432010 0.549082i
\(696\) −6.60113 3.81116i −0.250215 0.144462i
\(697\) −1.83229 6.83821i −0.0694031 0.259016i
\(698\) 7.64340 + 2.04804i 0.289307 + 0.0775196i
\(699\) 66.2630 2.50630
\(700\) 0.962736 13.1937i 0.0363880 0.498674i
\(701\) −18.0270 −0.680870 −0.340435 0.940268i \(-0.610574\pi\)
−0.340435 + 0.940268i \(0.610574\pi\)
\(702\) −8.07553 2.16383i −0.304791 0.0816686i
\(703\) 0.145579 + 0.543308i 0.00549062 + 0.0204913i
\(704\) −3.17930 1.83557i −0.119824 0.0691807i
\(705\) 25.7216 32.6920i 0.968732 1.23125i
\(706\) 25.7787i 0.970196i
\(707\) −0.181158 0.0581046i −0.00681316 0.00218525i
\(708\) 22.0173 + 22.0173i 0.827459 + 0.827459i
\(709\) 37.0614 21.3974i 1.39187 0.803597i 0.398349 0.917234i \(-0.369583\pi\)
0.993522 + 0.113637i \(0.0362500\pi\)
\(710\) −14.5339 + 10.8746i −0.545446 + 0.408117i
\(711\) −36.5370 + 63.2840i −1.37025 + 2.37334i
\(712\) 0.370178 1.38152i 0.0138730 0.0517748i
\(713\) 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
\(717\) −67.3747 + 18.0530i −2.51615 + 0.674202i
\(718\) −10.0326 + 2.68822i −0.374413 + 0.100324i
\(719\) 2.72691 + 4.72315i 0.101697 + 0.176144i 0.912384 0.409336i \(-0.134240\pi\)
−0.810687 + 0.585480i \(0.800906\pi\)
\(720\) 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
\(723\) −18.6476 + 69.5938i −0.693512 + 2.58822i
\(724\) 5.83712 10.1102i 0.216935 0.375742i
\(725\) −12.7436 + 3.08528i −0.473287 + 0.114584i
\(726\) −6.23593 + 3.60031i −0.231437 + 0.133620i
\(727\) −16.6781 16.6781i −0.618555 0.618555i 0.326606 0.945161i \(-0.394095\pi\)
−0.945161 + 0.326606i \(0.894095\pi\)
\(728\) −3.03736 + 0.657639i −0.112572 + 0.0243737i
\(729\) 38.4054i 1.42242i
\(730\) −17.3366 13.6402i −0.641658 0.504848i
\(731\) 0.458200 + 0.264542i 0.0169471 + 0.00978443i
\(732\) −1.49882 5.59367i −0.0553979 0.206748i
\(733\) −32.8405 8.79960i −1.21299 0.325021i −0.405057 0.914291i \(-0.632748\pi\)
−0.807936 + 0.589271i \(0.799415\pi\)
\(734\) −8.68601 −0.320607
\(735\) 45.4859 0.983492i 1.67777 0.0362767i
\(736\) 4.70563 0.173452
\(737\) 23.4832 + 6.29231i 0.865016 + 0.231780i
\(738\) −12.6642 47.2635i −0.466177 1.73979i
\(739\) −25.0733 14.4761i −0.922335 0.532510i −0.0379557 0.999279i \(-0.512085\pi\)
−0.884379 + 0.466769i \(0.845418\pi\)
\(740\) 0.570462 0.0680721i 0.0209706 0.00250238i
\(741\) 7.47449i 0.274582i
\(742\) −20.4637 + 4.43074i −0.751247 + 0.162658i
\(743\) 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
\(745\) 1.54330 10.7162i 0.0565422 0.392609i
\(746\) 6.65477 11.5264i 0.243649 0.422012i
\(747\) −19.4058 + 72.4235i −0.710022 + 2.64984i
\(748\) 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 \(0.723052\pi\)
\(752\) 6.18205 1.65648i 0.225436 0.0604055i
\(753\) 31.2090 8.36242i 1.13732 0.304743i
\(754\) 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 \(-0.0269557\pi\)
\(758\) −6.55984 + 24.4816i −0.238264 + 0.889213i
\(759\) 25.1064 43.4856i 0.911305 1.57843i
\(760\) 2.93271 + 3.91954i 0.106380 + 0.142177i
\(761\) 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
\(763\) 45.6066 + 14.6278i 1.65107 + 0.529563i
\(764\) 15.5034i 0.560894i
\(765\) 1.13805 + 9.53714i 0.0411462 + 0.344816i
\(766\) 15.9357 + 9.20046i 0.575779 + 0.332426i
\(767\) −3.25668 12.1541i −0.117592 0.438859i
\(768\) 2.80762 + 0.752300i 0.101311 + 0.0271463i
\(769\) −40.9728 −1.47752 −0.738759 0.673970i \(-0.764588\pi\)
−0.738759 + 0.673970i \(0.764588\pi\)
\(770\) −7.07873 20.5328i −0.255100 0.739951i
\(771\) 73.5189 2.64772
\(772\) −8.69132 2.32883i −0.312808