Properties

Label 630.2.t.b.311.8
Level 630
Weight 2
Character 630.311
Analytic conductor 5.031
Analytic rank 0
Dimension 28
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 630.t (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.03057532734\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(14\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 311.8
Character \(\chi\) \(=\) 630.311
Dual form 630.2.t.b.551.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.866025 + 0.500000i) q^{2} +(-1.51897 + 0.832312i) q^{3} +(0.500000 + 0.866025i) q^{4} -1.00000 q^{5} +(-1.73162 - 0.0386792i) q^{6} +(2.13731 + 1.55945i) q^{7} +1.00000i q^{8} +(1.61451 - 2.52851i) q^{9} +O(q^{10})\) \(q+(0.866025 + 0.500000i) q^{2} +(-1.51897 + 0.832312i) q^{3} +(0.500000 + 0.866025i) q^{4} -1.00000 q^{5} +(-1.73162 - 0.0386792i) q^{6} +(2.13731 + 1.55945i) q^{7} +1.00000i q^{8} +(1.61451 - 2.52851i) q^{9} +(-0.866025 - 0.500000i) q^{10} -0.450472i q^{11} +(-1.48029 - 0.899307i) q^{12} +(4.26160 + 2.46044i) q^{13} +(1.07124 + 2.41918i) q^{14} +(1.51897 - 0.832312i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-3.93285 + 6.81190i) q^{17} +(2.66246 - 1.38250i) q^{18} +(-4.75019 + 2.74252i) q^{19} +(-0.500000 - 0.866025i) q^{20} +(-4.54446 - 0.589839i) q^{21} +(0.225236 - 0.390121i) q^{22} -4.86229i q^{23} +(-0.832312 - 1.51897i) q^{24} +1.00000 q^{25} +(2.46044 + 4.26160i) q^{26} +(-0.347881 + 5.18449i) q^{27} +(-0.281867 + 2.63069i) q^{28} +(-8.05558 + 4.65089i) q^{29} +(1.73162 + 0.0386792i) q^{30} +(0.497185 - 0.287050i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(0.374934 + 0.684252i) q^{33} +(-6.81190 + 3.93285i) q^{34} +(-2.13731 - 1.55945i) q^{35} +(2.99701 + 0.133955i) q^{36} +(-0.721812 - 1.25022i) q^{37} -5.48505 q^{38} +(-8.52108 - 0.190335i) q^{39} -1.00000i q^{40} +(0.956724 - 1.65709i) q^{41} +(-3.64070 - 2.78304i) q^{42} +(-0.459119 - 0.795218i) q^{43} +(0.390121 - 0.225236i) q^{44} +(-1.61451 + 2.52851i) q^{45} +(2.43115 - 4.21087i) q^{46} +(3.71305 - 6.43119i) q^{47} +(0.0386792 - 1.73162i) q^{48} +(2.13623 + 6.66607i) q^{49} +(0.866025 + 0.500000i) q^{50} +(0.304239 - 13.6204i) q^{51} +4.92088i q^{52} +(8.30591 + 4.79542i) q^{53} +(-2.89352 + 4.31596i) q^{54} +0.450472i q^{55} +(-1.55945 + 2.13731i) q^{56} +(4.93274 - 8.11944i) q^{57} -9.30178 q^{58} +(4.43278 + 7.67779i) q^{59} +(1.48029 + 0.899307i) q^{60} +(8.54152 + 4.93145i) q^{61} +0.574100 q^{62} +(7.39380 - 2.88646i) q^{63} -1.00000 q^{64} +(-4.26160 - 2.46044i) q^{65} +(-0.0174239 + 0.780047i) q^{66} +(2.32102 + 4.02013i) q^{67} -7.86570 q^{68} +(4.04694 + 7.38565i) q^{69} +(-1.07124 - 2.41918i) q^{70} -3.88571i q^{71} +(2.52851 + 1.61451i) q^{72} +(4.91339 + 2.83675i) q^{73} -1.44362i q^{74} +(-1.51897 + 0.832312i) q^{75} +(-4.75019 - 2.74252i) q^{76} +(0.702489 - 0.962801i) q^{77} +(-7.28430 - 4.42538i) q^{78} +(1.00320 - 1.73760i) q^{79} +(0.500000 - 0.866025i) q^{80} +(-3.78670 - 8.16461i) q^{81} +(1.65709 - 0.956724i) q^{82} +(-4.76689 - 8.25650i) q^{83} +(-1.76141 - 4.23053i) q^{84} +(3.93285 - 6.81190i) q^{85} -0.918239i q^{86} +(8.36515 - 13.7693i) q^{87} +0.450472 q^{88} +(-1.98445 - 3.43716i) q^{89} +(-2.66246 + 1.38250i) q^{90} +(5.27146 + 11.9045i) q^{91} +(4.21087 - 2.43115i) q^{92} +(-0.516292 + 0.849832i) q^{93} +(6.43119 - 3.71305i) q^{94} +(4.75019 - 2.74252i) q^{95} +(0.899307 - 1.48029i) q^{96} +(-8.69468 + 5.01988i) q^{97} +(-1.48301 + 6.84110i) q^{98} +(-1.13902 - 0.727293i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{3} + 14q^{4} - 28q^{5} - 8q^{6} - 4q^{7} + 6q^{9} + O(q^{10}) \) \( 28q - 2q^{3} + 14q^{4} - 28q^{5} - 8q^{6} - 4q^{7} + 6q^{9} - 4q^{12} + 6q^{14} + 2q^{15} - 14q^{16} - 6q^{17} - 4q^{18} - 6q^{19} - 14q^{20} + 6q^{21} - 6q^{22} - 4q^{24} + 28q^{25} + 12q^{26} + 28q^{27} - 8q^{28} + 8q^{30} - 12q^{31} + 26q^{33} + 4q^{35} - 6q^{36} + 4q^{37} - 12q^{38} + 54q^{39} + 18q^{41} - 32q^{42} + 28q^{43} - 6q^{45} - 18q^{46} + 30q^{47} - 2q^{48} - 14q^{49} + 34q^{51} - 42q^{53} + 14q^{54} + 6q^{56} - 30q^{57} - 12q^{58} - 24q^{59} + 4q^{60} + 24q^{61} - 12q^{62} + 44q^{63} - 28q^{64} - 10q^{66} - 40q^{67} - 12q^{68} + 8q^{69} - 6q^{70} + 4q^{72} + 6q^{73} - 2q^{75} - 6q^{76} - 24q^{77} + 14q^{78} + 2q^{79} + 14q^{80} - 46q^{81} + 24q^{82} - 18q^{83} + 18q^{84} + 6q^{85} + 104q^{87} - 12q^{88} + 6q^{89} + 4q^{90} + 66q^{91} - 30q^{92} + 40q^{93} + 42q^{94} + 6q^{95} + 4q^{96} - 72q^{97} - 24q^{98} - 42q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(281\) \(451\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.866025 + 0.500000i 0.612372 + 0.353553i
\(3\) −1.51897 + 0.832312i −0.876975 + 0.480536i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −1.00000 −0.447214
\(6\) −1.73162 0.0386792i −0.706930 0.0157907i
\(7\) 2.13731 + 1.55945i 0.807829 + 0.589417i
\(8\) 1.00000i 0.353553i
\(9\) 1.61451 2.52851i 0.538171 0.842836i
\(10\) −0.866025 0.500000i −0.273861 0.158114i
\(11\) 0.450472i 0.135823i −0.997691 0.0679113i \(-0.978367\pi\)
0.997691 0.0679113i \(-0.0216335\pi\)
\(12\) −1.48029 0.899307i −0.427322 0.259607i
\(13\) 4.26160 + 2.46044i 1.18196 + 0.682403i 0.956466 0.291843i \(-0.0942684\pi\)
0.225490 + 0.974246i \(0.427602\pi\)
\(14\) 1.07124 + 2.41918i 0.286302 + 0.646553i
\(15\) 1.51897 0.832312i 0.392195 0.214902i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −3.93285 + 6.81190i −0.953857 + 1.65213i −0.216894 + 0.976195i \(0.569593\pi\)
−0.736963 + 0.675933i \(0.763741\pi\)
\(18\) 2.66246 1.38250i 0.627548 0.325857i
\(19\) −4.75019 + 2.74252i −1.08977 + 0.629178i −0.933515 0.358539i \(-0.883275\pi\)
−0.156254 + 0.987717i \(0.549942\pi\)
\(20\) −0.500000 0.866025i −0.111803 0.193649i
\(21\) −4.54446 0.589839i −0.991682 0.128713i
\(22\) 0.225236 0.390121i 0.0480205 0.0831740i
\(23\) 4.86229i 1.01386i −0.861988 0.506929i \(-0.830781\pi\)
0.861988 0.506929i \(-0.169219\pi\)
\(24\) −0.832312 1.51897i −0.169895 0.310058i
\(25\) 1.00000 0.200000
\(26\) 2.46044 + 4.26160i 0.482532 + 0.835769i
\(27\) −0.347881 + 5.18449i −0.0669498 + 0.997756i
\(28\) −0.281867 + 2.63069i −0.0532678 + 0.497154i
\(29\) −8.05558 + 4.65089i −1.49588 + 0.863648i −0.999989 0.00473444i \(-0.998493\pi\)
−0.495894 + 0.868383i \(0.665160\pi\)
\(30\) 1.73162 + 0.0386792i 0.316149 + 0.00706182i
\(31\) 0.497185 0.287050i 0.0892970 0.0515557i −0.454687 0.890652i \(-0.650249\pi\)
0.543984 + 0.839096i \(0.316915\pi\)
\(32\) −0.866025 + 0.500000i −0.153093 + 0.0883883i
\(33\) 0.374934 + 0.684252i 0.0652676 + 0.119113i
\(34\) −6.81190 + 3.93285i −1.16823 + 0.674479i
\(35\) −2.13731 1.55945i −0.361272 0.263595i
\(36\) 2.99701 + 0.133955i 0.499501 + 0.0223259i
\(37\) −0.721812 1.25022i −0.118665 0.205534i 0.800574 0.599234i \(-0.204528\pi\)
−0.919239 + 0.393700i \(0.871195\pi\)
\(38\) −5.48505 −0.889792
\(39\) −8.52108 0.190335i −1.36446 0.0304781i
\(40\) 1.00000i 0.158114i
\(41\) 0.956724 1.65709i 0.149415 0.258795i −0.781596 0.623785i \(-0.785594\pi\)
0.931011 + 0.364990i \(0.118928\pi\)
\(42\) −3.64070 2.78304i −0.561772 0.429433i
\(43\) −0.459119 0.795218i −0.0700151 0.121270i 0.828893 0.559408i \(-0.188971\pi\)
−0.898908 + 0.438138i \(0.855638\pi\)
\(44\) 0.390121 0.225236i 0.0588129 0.0339556i
\(45\) −1.61451 + 2.52851i −0.240677 + 0.376928i
\(46\) 2.43115 4.21087i 0.358453 0.620858i
\(47\) 3.71305 6.43119i 0.541604 0.938085i −0.457209 0.889359i \(-0.651151\pi\)
0.998812 0.0487254i \(-0.0155159\pi\)
\(48\) 0.0386792 1.73162i 0.00558286 0.249938i
\(49\) 2.13623 + 6.66607i 0.305175 + 0.952296i
\(50\) 0.866025 + 0.500000i 0.122474 + 0.0707107i
\(51\) 0.304239 13.6204i 0.0426020 1.90724i
\(52\) 4.92088i 0.682403i
\(53\) 8.30591 + 4.79542i 1.14090 + 0.658701i 0.946654 0.322251i \(-0.104439\pi\)
0.194250 + 0.980952i \(0.437773\pi\)
\(54\) −2.89352 + 4.31596i −0.393758 + 0.587328i
\(55\) 0.450472i 0.0607417i
\(56\) −1.55945 + 2.13731i −0.208390 + 0.285611i
\(57\) 4.93274 8.11944i 0.653357 1.07545i
\(58\) −9.30178 −1.22138
\(59\) 4.43278 + 7.67779i 0.577098 + 0.999564i 0.995810 + 0.0914445i \(0.0291484\pi\)
−0.418712 + 0.908119i \(0.637518\pi\)
\(60\) 1.48029 + 0.899307i 0.191104 + 0.116100i
\(61\) 8.54152 + 4.93145i 1.09363 + 0.631407i 0.934540 0.355857i \(-0.115811\pi\)
0.159089 + 0.987264i \(0.449144\pi\)
\(62\) 0.574100 0.0729107
\(63\) 7.39380 2.88646i 0.931532 0.363660i
\(64\) −1.00000 −0.125000
\(65\) −4.26160 2.46044i −0.528587 0.305180i
\(66\) −0.0174239 + 0.780047i −0.00214473 + 0.0960171i
\(67\) 2.32102 + 4.02013i 0.283558 + 0.491137i 0.972258 0.233909i \(-0.0751518\pi\)
−0.688700 + 0.725046i \(0.741818\pi\)
\(68\) −7.86570 −0.953857
\(69\) 4.04694 + 7.38565i 0.487195 + 0.889128i
\(70\) −1.07124 2.41918i −0.128038 0.289147i
\(71\) 3.88571i 0.461149i −0.973055 0.230575i \(-0.925939\pi\)
0.973055 0.230575i \(-0.0740606\pi\)
\(72\) 2.52851 + 1.61451i 0.297987 + 0.190272i
\(73\) 4.91339 + 2.83675i 0.575069 + 0.332016i 0.759171 0.650891i \(-0.225604\pi\)
−0.184102 + 0.982907i \(0.558938\pi\)
\(74\) 1.44362i 0.167818i
\(75\) −1.51897 + 0.832312i −0.175395 + 0.0961071i
\(76\) −4.75019 2.74252i −0.544884 0.314589i
\(77\) 0.702489 0.962801i 0.0800561 0.109721i
\(78\) −7.28430 4.42538i −0.824785 0.501075i
\(79\) 1.00320 1.73760i 0.112869 0.195495i −0.804057 0.594552i \(-0.797329\pi\)
0.916926 + 0.399058i \(0.130663\pi\)
\(80\) 0.500000 0.866025i 0.0559017 0.0968246i
\(81\) −3.78670 8.16461i −0.420744 0.907179i
\(82\) 1.65709 0.956724i 0.182995 0.105652i
\(83\) −4.76689 8.25650i −0.523234 0.906268i −0.999634 0.0270398i \(-0.991392\pi\)
0.476400 0.879229i \(-0.341941\pi\)
\(84\) −1.76141 4.23053i −0.192186 0.461589i
\(85\) 3.93285 6.81190i 0.426578 0.738854i
\(86\) 0.918239i 0.0990162i
\(87\) 8.36515 13.7693i 0.896838 1.47622i
\(88\) 0.450472 0.0480205
\(89\) −1.98445 3.43716i −0.210351 0.364339i 0.741473 0.670982i \(-0.234127\pi\)
−0.951824 + 0.306644i \(0.900794\pi\)
\(90\) −2.66246 + 1.38250i −0.280648 + 0.145728i
\(91\) 5.27146 + 11.9045i 0.552599 + 1.24793i
\(92\) 4.21087 2.43115i 0.439013 0.253464i
\(93\) −0.516292 + 0.849832i −0.0535369 + 0.0881235i
\(94\) 6.43119 3.71305i 0.663326 0.382972i
\(95\) 4.75019 2.74252i 0.487359 0.281377i
\(96\) 0.899307 1.48029i 0.0917851 0.151081i
\(97\) −8.69468 + 5.01988i −0.882811 + 0.509691i −0.871584 0.490246i \(-0.836907\pi\)
−0.0112270 + 0.999937i \(0.503574\pi\)
\(98\) −1.48301 + 6.84110i −0.149807 + 0.691056i
\(99\) −1.13902 0.727293i −0.114476 0.0730957i
\(100\) 0.500000 + 0.866025i 0.0500000 + 0.0866025i
\(101\) −5.49909 −0.547180 −0.273590 0.961846i \(-0.588211\pi\)
−0.273590 + 0.961846i \(0.588211\pi\)
\(102\) 7.07368 11.6435i 0.700399 1.15288i
\(103\) 15.5075i 1.52800i −0.645216 0.764000i \(-0.723233\pi\)
0.645216 0.764000i \(-0.276767\pi\)
\(104\) −2.46044 + 4.26160i −0.241266 + 0.417885i
\(105\) 4.54446 + 0.589839i 0.443494 + 0.0575623i
\(106\) 4.79542 + 8.30591i 0.465772 + 0.806741i
\(107\) 8.60043 4.96546i 0.831435 0.480029i −0.0229088 0.999738i \(-0.507293\pi\)
0.854344 + 0.519708i \(0.173959\pi\)
\(108\) −4.66384 + 2.29097i −0.448779 + 0.220449i
\(109\) 2.22823 3.85941i 0.213426 0.369665i −0.739359 0.673312i \(-0.764871\pi\)
0.952784 + 0.303647i \(0.0982045\pi\)
\(110\) −0.225236 + 0.390121i −0.0214754 + 0.0371965i
\(111\) 2.13698 + 1.29826i 0.202833 + 0.123225i
\(112\) −2.41918 + 1.07124i −0.228591 + 0.101223i
\(113\) 17.4964 + 10.1015i 1.64592 + 0.950271i 0.978671 + 0.205435i \(0.0658610\pi\)
0.667247 + 0.744836i \(0.267472\pi\)
\(114\) 8.33160 4.56527i 0.780326 0.427577i
\(115\) 4.86229i 0.453411i
\(116\) −8.05558 4.65089i −0.747942 0.431824i
\(117\) 13.1016 6.80309i 1.21125 0.628946i
\(118\) 8.86555i 0.816140i
\(119\) −19.0286 + 8.42608i −1.74435 + 0.772418i
\(120\) 0.832312 + 1.51897i 0.0759794 + 0.138662i
\(121\) 10.7971 0.981552
\(122\) 4.93145 + 8.54152i 0.446472 + 0.773313i
\(123\) −0.0740106 + 3.31336i −0.00667331 + 0.298756i
\(124\) 0.497185 + 0.287050i 0.0446485 + 0.0257778i
\(125\) −1.00000 −0.0894427
\(126\) 7.84645 + 1.19715i 0.699018 + 0.106651i
\(127\) 3.08808 0.274023 0.137012 0.990569i \(-0.456250\pi\)
0.137012 + 0.990569i \(0.456250\pi\)
\(128\) −0.866025 0.500000i −0.0765466 0.0441942i
\(129\) 1.35926 + 0.825778i 0.119676 + 0.0727057i
\(130\) −2.46044 4.26160i −0.215795 0.373767i
\(131\) −15.7084 −1.37245 −0.686227 0.727388i \(-0.740734\pi\)
−0.686227 + 0.727388i \(0.740734\pi\)
\(132\) −0.405113 + 0.666828i −0.0352605 + 0.0580399i
\(133\) −14.4295 1.54605i −1.25120 0.134060i
\(134\) 4.64204i 0.401012i
\(135\) 0.347881 5.18449i 0.0299409 0.446210i
\(136\) −6.81190 3.93285i −0.584116 0.337239i
\(137\) 13.0632i 1.11606i −0.829821 0.558030i \(-0.811557\pi\)
0.829821 0.558030i \(-0.188443\pi\)
\(138\) −0.188069 + 8.41963i −0.0160095 + 0.716727i
\(139\) −0.567606 0.327707i −0.0481437 0.0277958i 0.475735 0.879589i \(-0.342182\pi\)
−0.523879 + 0.851793i \(0.675515\pi\)
\(140\) 0.281867 2.63069i 0.0238221 0.222334i
\(141\) −0.287235 + 12.8592i −0.0241896 + 1.08294i
\(142\) 1.94286 3.36513i 0.163041 0.282395i
\(143\) 1.10836 1.91973i 0.0926857 0.160536i
\(144\) 1.38250 + 2.66246i 0.115208 + 0.221872i
\(145\) 8.05558 4.65089i 0.668979 0.386235i
\(146\) 2.83675 + 4.91339i 0.234771 + 0.406635i
\(147\) −8.79311 8.34753i −0.725244 0.688492i
\(148\) 0.721812 1.25022i 0.0593326 0.102767i
\(149\) 4.62313i 0.378741i −0.981906 0.189371i \(-0.939355\pi\)
0.981906 0.189371i \(-0.0606448\pi\)
\(150\) −1.73162 0.0386792i −0.141386 0.00315814i
\(151\) 12.3019 1.00112 0.500559 0.865703i \(-0.333128\pi\)
0.500559 + 0.865703i \(0.333128\pi\)
\(152\) −2.74252 4.75019i −0.222448 0.385291i
\(153\) 10.8743 + 20.9421i 0.879135 + 1.69307i
\(154\) 1.08977 0.482566i 0.0878165 0.0388862i
\(155\) −0.497185 + 0.287050i −0.0399349 + 0.0230564i
\(156\) −4.09570 7.47464i −0.327919 0.598450i
\(157\) 16.6593 9.61826i 1.32956 0.767620i 0.344326 0.938850i \(-0.388107\pi\)
0.985231 + 0.171230i \(0.0547740\pi\)
\(158\) 1.73760 1.00320i 0.138236 0.0798104i
\(159\) −16.6077 0.370966i −1.31707 0.0294195i
\(160\) 0.866025 0.500000i 0.0684653 0.0395285i
\(161\) 7.58250 10.3922i 0.597585 0.819024i
\(162\) 0.802930 8.96411i 0.0630841 0.704287i
\(163\) 3.11468 + 5.39478i 0.243960 + 0.422551i 0.961839 0.273617i \(-0.0882200\pi\)
−0.717879 + 0.696168i \(0.754887\pi\)
\(164\) 1.91345 0.149415
\(165\) −0.374934 0.684252i −0.0291885 0.0532689i
\(166\) 9.53378i 0.739965i
\(167\) −3.60660 + 6.24681i −0.279087 + 0.483393i −0.971158 0.238437i \(-0.923365\pi\)
0.692071 + 0.721829i \(0.256698\pi\)
\(168\) 0.589839 4.54446i 0.0455070 0.350612i
\(169\) 5.60751 + 9.71249i 0.431347 + 0.747114i
\(170\) 6.81190 3.93285i 0.522449 0.301636i
\(171\) −0.734751 + 16.4387i −0.0561878 + 1.25710i
\(172\) 0.459119 0.795218i 0.0350075 0.0606348i
\(173\) 7.80001 13.5100i 0.593024 1.02715i −0.400798 0.916166i \(-0.631267\pi\)
0.993822 0.110982i \(-0.0353994\pi\)
\(174\) 14.1291 7.74198i 1.07112 0.586918i
\(175\) 2.13731 + 1.55945i 0.161566 + 0.117883i
\(176\) 0.390121 + 0.225236i 0.0294064 + 0.0169778i
\(177\) −13.1236 7.97285i −0.986427 0.599276i
\(178\) 3.96890i 0.297481i
\(179\) −3.30274 1.90684i −0.246858 0.142524i 0.371466 0.928446i \(-0.378855\pi\)
−0.618325 + 0.785923i \(0.712188\pi\)
\(180\) −2.99701 0.133955i −0.223384 0.00998443i
\(181\) 4.59480i 0.341529i −0.985312 0.170764i \(-0.945376\pi\)
0.985312 0.170764i \(-0.0546237\pi\)
\(182\) −1.38703 + 12.9453i −0.102814 + 0.959571i
\(183\) −17.0788 0.381489i −1.26250 0.0282005i
\(184\) 4.86229 0.358453
\(185\) 0.721812 + 1.25022i 0.0530687 + 0.0919177i
\(186\) −0.872038 + 0.477830i −0.0639409 + 0.0350362i
\(187\) 3.06857 + 1.77164i 0.224396 + 0.129555i
\(188\) 7.42609 0.541604
\(189\) −8.82849 + 10.5384i −0.642178 + 0.766555i
\(190\) 5.48505 0.397927
\(191\) −21.7317 12.5468i −1.57245 0.907855i −0.995868 0.0908162i \(-0.971052\pi\)
−0.576583 0.817039i \(-0.695614\pi\)
\(192\) 1.51897 0.832312i 0.109622 0.0600670i
\(193\) 8.95240 + 15.5060i 0.644408 + 1.11615i 0.984438 + 0.175733i \(0.0562295\pi\)
−0.340030 + 0.940415i \(0.610437\pi\)
\(194\) −10.0398 −0.720812
\(195\) 8.52108 + 0.190335i 0.610207 + 0.0136302i
\(196\) −4.70487 + 5.18306i −0.336062 + 0.370219i
\(197\) 12.6523i 0.901439i 0.892666 + 0.450720i \(0.148833\pi\)
−0.892666 + 0.450720i \(0.851167\pi\)
\(198\) −0.622776 1.19937i −0.0442588 0.0852352i
\(199\) −18.2922 10.5610i −1.29670 0.748648i −0.316865 0.948471i \(-0.602630\pi\)
−0.979832 + 0.199823i \(0.935963\pi\)
\(200\) 1.00000i 0.0707107i
\(201\) −6.87155 4.17462i −0.484682 0.294455i
\(202\) −4.76235 2.74955i −0.335078 0.193457i
\(203\) −24.4701 2.62186i −1.71747 0.184019i
\(204\) 11.9477 6.54672i 0.836509 0.458362i
\(205\) −0.956724 + 1.65709i −0.0668205 + 0.115736i
\(206\) 7.75376 13.4299i 0.540230 0.935705i
\(207\) −12.2943 7.85023i −0.854515 0.545629i
\(208\) −4.26160 + 2.46044i −0.295489 + 0.170601i
\(209\) 1.23543 + 2.13983i 0.0854566 + 0.148015i
\(210\) 3.64070 + 2.78304i 0.251232 + 0.192048i
\(211\) 10.0132 17.3434i 0.689338 1.19397i −0.282714 0.959204i \(-0.591235\pi\)
0.972052 0.234764i \(-0.0754318\pi\)
\(212\) 9.59084i 0.658701i
\(213\) 3.23413 + 5.90226i 0.221599 + 0.404416i
\(214\) 9.93092 0.678864
\(215\) 0.459119 + 0.795218i 0.0313117 + 0.0542334i
\(216\) −5.18449 0.347881i −0.352760 0.0236703i
\(217\) 1.51028 + 0.161819i 0.102525 + 0.0109850i
\(218\) 3.85941 2.22823i 0.261392 0.150915i
\(219\) −9.82433 0.219446i −0.663867 0.0148288i
\(220\) −0.390121 + 0.225236i −0.0263019 + 0.0151854i
\(221\) −33.5205 + 19.3531i −2.25483 + 1.30183i
\(222\) 1.20155 + 2.19282i 0.0806425 + 0.147172i
\(223\) 2.43988 1.40867i 0.163387 0.0943313i −0.416077 0.909329i \(-0.636595\pi\)
0.579464 + 0.814998i \(0.303262\pi\)
\(224\) −2.63069 0.281867i −0.175771 0.0188330i
\(225\) 1.61451 2.52851i 0.107634 0.168567i
\(226\) 10.1015 + 17.4964i 0.671943 + 1.16384i
\(227\) −2.59017 −0.171915 −0.0859577 0.996299i \(-0.527395\pi\)
−0.0859577 + 0.996299i \(0.527395\pi\)
\(228\) 9.49801 + 0.212157i 0.629021 + 0.0140505i
\(229\) 21.5183i 1.42197i 0.703206 + 0.710986i \(0.251751\pi\)
−0.703206 + 0.710986i \(0.748249\pi\)
\(230\) −2.43115 + 4.21087i −0.160305 + 0.277656i
\(231\) −0.265706 + 2.04715i −0.0174822 + 0.134693i
\(232\) −4.65089 8.05558i −0.305346 0.528875i
\(233\) −2.79452 + 1.61342i −0.183075 + 0.105699i −0.588737 0.808325i \(-0.700375\pi\)
0.405661 + 0.914023i \(0.367041\pi\)
\(234\) 14.7479 + 0.659177i 0.964101 + 0.0430918i
\(235\) −3.71305 + 6.43119i −0.242212 + 0.419524i
\(236\) −4.43278 + 7.67779i −0.288549 + 0.499782i
\(237\) −0.0776060 + 3.47432i −0.00504105 + 0.225682i
\(238\) −20.6923 2.21708i −1.34128 0.143712i
\(239\) 13.9417 + 8.04923i 0.901812 + 0.520661i 0.877788 0.479050i \(-0.159019\pi\)
0.0240242 + 0.999711i \(0.492352\pi\)
\(240\) −0.0386792 + 1.73162i −0.00249673 + 0.111776i
\(241\) 25.6376i 1.65147i −0.564061 0.825733i \(-0.690762\pi\)
0.564061 0.825733i \(-0.309238\pi\)
\(242\) 9.35054 + 5.39854i 0.601076 + 0.347031i
\(243\) 12.5474 + 9.25005i 0.804914 + 0.593391i
\(244\) 9.86290i 0.631407i
\(245\) −2.13623 6.66607i −0.136479 0.425880i
\(246\) −1.72078 + 2.83245i −0.109713 + 0.180590i
\(247\) −26.9912 −1.71741
\(248\) 0.287050 + 0.497185i 0.0182277 + 0.0315713i
\(249\) 14.1127 + 8.57379i 0.894358 + 0.543342i
\(250\) −0.866025 0.500000i −0.0547723 0.0316228i
\(251\) 12.7547 0.805068 0.402534 0.915405i \(-0.368129\pi\)
0.402534 + 0.915405i \(0.368129\pi\)
\(252\) 6.19665 + 4.95999i 0.390352 + 0.312450i
\(253\) −2.19033 −0.137705
\(254\) 2.67436 + 1.54404i 0.167804 + 0.0968818i
\(255\) −0.304239 + 13.6204i −0.0190522 + 0.852943i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 27.0776 1.68906 0.844528 0.535512i \(-0.179881\pi\)
0.844528 + 0.535512i \(0.179881\pi\)
\(258\) 0.764261 + 1.39477i 0.0475808 + 0.0868348i
\(259\) 0.406909 3.79773i 0.0252841 0.235980i
\(260\) 4.92088i 0.305180i
\(261\) −1.24602 + 27.8775i −0.0771268 + 1.72557i
\(262\) −13.6039 7.85422i −0.840453 0.485235i
\(263\) 13.3334i 0.822172i 0.911597 + 0.411086i \(0.134850\pi\)
−0.911597 + 0.411086i \(0.865150\pi\)
\(264\) −0.684252 + 0.374934i −0.0421128 + 0.0230756i
\(265\) −8.30591 4.79542i −0.510228 0.294580i
\(266\) −11.7233 8.55366i −0.718800 0.524459i
\(267\) 5.87510 + 3.56925i 0.359550 + 0.218435i
\(268\) −2.32102 + 4.02013i −0.141779 + 0.245568i
\(269\) −7.58415 + 13.1361i −0.462414 + 0.800924i −0.999081 0.0428702i \(-0.986350\pi\)
0.536667 + 0.843794i \(0.319683\pi\)
\(270\) 2.89352 4.31596i 0.176094 0.262661i
\(271\) 22.7711 13.1469i 1.38325 0.798617i 0.390703 0.920517i \(-0.372232\pi\)
0.992542 + 0.121900i \(0.0388986\pi\)
\(272\) −3.93285 6.81190i −0.238464 0.413032i
\(273\) −17.9154 13.6950i −1.08429 0.828860i
\(274\) 6.53158 11.3130i 0.394587 0.683445i
\(275\) 0.450472i 0.0271645i
\(276\) −4.37269 + 7.19758i −0.263205 + 0.433244i
\(277\) 23.2800 1.39876 0.699381 0.714749i \(-0.253459\pi\)
0.699381 + 0.714749i \(0.253459\pi\)
\(278\) −0.327707 0.567606i −0.0196546 0.0340427i
\(279\) 0.0769037 1.72058i 0.00460410 0.103009i
\(280\) 1.55945 2.13731i 0.0931950 0.127729i
\(281\) −3.40387 + 1.96523i −0.203058 + 0.117236i −0.598081 0.801436i \(-0.704070\pi\)
0.395023 + 0.918671i \(0.370737\pi\)
\(282\) −6.67833 + 10.9927i −0.397689 + 0.654608i
\(283\) −25.0227 + 14.4469i −1.48745 + 0.858778i −0.999898 0.0143172i \(-0.995443\pi\)
−0.487550 + 0.873095i \(0.662109\pi\)
\(284\) 3.36513 1.94286i 0.199683 0.115287i
\(285\) −4.93274 + 8.11944i −0.292190 + 0.480954i
\(286\) 1.91973 1.10836i 0.113516 0.0655387i
\(287\) 4.62898 2.04977i 0.273240 0.120994i
\(288\) −0.133955 + 2.99701i −0.00789339 + 0.176600i
\(289\) −22.4347 38.8580i −1.31969 2.28576i
\(290\) 9.30178 0.546219
\(291\) 9.02882 14.8617i 0.529279 0.871209i
\(292\) 5.67350i 0.332016i
\(293\) 2.16359 3.74744i 0.126398 0.218928i −0.795880 0.605454i \(-0.792992\pi\)
0.922279 + 0.386526i \(0.126325\pi\)
\(294\) −3.44129 11.6257i −0.200700 0.678026i
\(295\) −4.43278 7.67779i −0.258086 0.447018i
\(296\) 1.25022 0.721812i 0.0726673 0.0419545i
\(297\) 2.33547 + 0.156711i 0.135518 + 0.00909329i
\(298\) 2.31156 4.00375i 0.133905 0.231931i
\(299\) 11.9634 20.7212i 0.691859 1.19834i
\(300\) −1.48029 0.899307i −0.0854644 0.0519215i
\(301\) 0.258821 2.41561i 0.0149182 0.139233i
\(302\) 10.6538 + 6.15097i 0.613057 + 0.353948i
\(303\) 8.35293 4.57696i 0.479864 0.262940i
\(304\) 5.48505i 0.314589i
\(305\) −8.54152 4.93145i −0.489086 0.282374i
\(306\) −1.05365 + 23.5736i −0.0602333 + 1.34761i
\(307\) 0.419882i 0.0239639i −0.999928 0.0119820i \(-0.996186\pi\)
0.999928 0.0119820i \(-0.00381407\pi\)
\(308\) 1.18506 + 0.126973i 0.0675248 + 0.00723496i
\(309\) 12.9071 + 23.5554i 0.734259 + 1.34002i
\(310\) −0.574100 −0.0326067
\(311\) −3.14218 5.44241i −0.178177 0.308611i 0.763079 0.646305i \(-0.223686\pi\)
−0.941256 + 0.337694i \(0.890353\pi\)
\(312\) 0.190335 8.52108i 0.0107756 0.482411i
\(313\) −4.92258 2.84206i −0.278241 0.160642i 0.354386 0.935099i \(-0.384690\pi\)
−0.632627 + 0.774457i \(0.718023\pi\)
\(314\) 19.2365 1.08558
\(315\) −7.39380 + 2.88646i −0.416594 + 0.162634i
\(316\) 2.00640 0.112869
\(317\) −8.68744 5.01570i −0.487935 0.281710i 0.235782 0.971806i \(-0.424235\pi\)
−0.723718 + 0.690096i \(0.757568\pi\)
\(318\) −14.1972 8.62510i −0.796139 0.483672i
\(319\) 2.09510 + 3.62881i 0.117303 + 0.203175i
\(320\) 1.00000 0.0559017
\(321\) −8.93094 + 14.7006i −0.498477 + 0.820508i
\(322\) 11.7628 5.20870i 0.655513 0.290269i
\(323\) 43.1438i 2.40058i
\(324\) 5.17741 7.36168i 0.287634 0.408982i
\(325\) 4.26160 + 2.46044i 0.236391 + 0.136481i
\(326\) 6.22935i 0.345012i
\(327\) −0.172372 + 7.71690i −0.00953222 + 0.426745i
\(328\) 1.65709 + 0.956724i 0.0914977 + 0.0528262i
\(329\) 17.9651 7.95515i 0.990446 0.438582i
\(330\) 0.0174239 0.780047i 0.000959155 0.0429401i
\(331\) −15.8516 + 27.4558i −0.871282 + 1.50910i −0.0106106 + 0.999944i \(0.503378\pi\)
−0.860671 + 0.509161i \(0.829956\pi\)
\(332\) 4.76689 8.25650i 0.261617 0.453134i
\(333\) −4.32655 0.193381i −0.237094 0.0105972i
\(334\) −6.24681 + 3.60660i −0.341810 + 0.197344i
\(335\) −2.32102 4.02013i −0.126811 0.219643i
\(336\) 2.78304 3.64070i 0.151827 0.198616i
\(337\) −7.09612 + 12.2908i −0.386550 + 0.669525i −0.991983 0.126372i \(-0.959667\pi\)
0.605433 + 0.795897i \(0.293000\pi\)
\(338\) 11.2150i 0.610016i
\(339\) −34.9840 0.781437i −1.90007 0.0424419i
\(340\) 7.86570 0.426578
\(341\) −0.129308 0.223968i −0.00700242 0.0121286i
\(342\) −8.85568 + 13.8690i −0.478860 + 0.749949i
\(343\) −5.82962 + 17.5788i −0.314770 + 0.949168i
\(344\) 0.795218 0.459119i 0.0428753 0.0247541i
\(345\) −4.04694 7.38565i −0.217880 0.397630i
\(346\) 13.5100 7.80001i 0.726303 0.419331i
\(347\) 0.634656 0.366419i 0.0340701 0.0196704i −0.482868 0.875693i \(-0.660405\pi\)
0.516938 + 0.856023i \(0.327072\pi\)
\(348\) 16.1071 + 0.359785i 0.863433 + 0.0192865i
\(349\) −23.1243 + 13.3508i −1.23782 + 0.714653i −0.968647 0.248440i \(-0.920082\pi\)
−0.269169 + 0.963093i \(0.586749\pi\)
\(350\) 1.07124 + 2.41918i 0.0572604 + 0.129311i
\(351\) −14.2387 + 21.2383i −0.760003 + 1.13362i
\(352\) 0.225236 + 0.390121i 0.0120051 + 0.0207935i
\(353\) 6.00317 0.319516 0.159758 0.987156i \(-0.448929\pi\)
0.159758 + 0.987156i \(0.448929\pi\)
\(354\) −7.37891 13.4665i −0.392185 0.715735i
\(355\) 3.88571i 0.206232i
\(356\) 1.98445 3.43716i 0.105176 0.182169i
\(357\) 21.8906 28.6366i 1.15857 1.51561i
\(358\) −1.90684 3.30274i −0.100780 0.174555i
\(359\) 25.3873 14.6574i 1.33989 0.773587i 0.353101 0.935585i \(-0.385127\pi\)
0.986791 + 0.161998i \(0.0517938\pi\)
\(360\) −2.52851 1.61451i −0.133264 0.0850923i
\(361\) 5.54288 9.60055i 0.291730 0.505292i
\(362\) 2.29740 3.97921i 0.120749 0.209143i
\(363\) −16.4004 + 8.98654i −0.860797 + 0.471671i
\(364\) −7.67386 + 10.5175i −0.402220 + 0.551265i
\(365\) −4.91339 2.83675i −0.257179 0.148482i
\(366\) −14.5999 8.86977i −0.763150 0.463630i
\(367\) 20.0340i 1.04576i −0.852405 0.522882i \(-0.824857\pi\)
0.852405 0.522882i \(-0.175143\pi\)
\(368\) 4.21087 + 2.43115i 0.219507 + 0.126732i
\(369\) −2.64533 5.09448i −0.137710 0.265208i
\(370\) 1.44362i 0.0750505i
\(371\) 10.2741 + 23.2020i 0.533406 + 1.20459i
\(372\) −0.994122 0.0222057i −0.0515428 0.00115131i
\(373\) −6.86717 −0.355568 −0.177784 0.984069i \(-0.556893\pi\)
−0.177784 + 0.984069i \(0.556893\pi\)
\(374\) 1.77164 + 3.06857i 0.0916094 + 0.158672i
\(375\) 1.51897 0.832312i 0.0784390 0.0429804i
\(376\) 6.43119 + 3.71305i 0.331663 + 0.191486i
\(377\) −45.7729 −2.35742
\(378\) −12.9149 + 4.71227i −0.664271 + 0.242373i
\(379\) 0.682216 0.0350431 0.0175216 0.999846i \(-0.494422\pi\)
0.0175216 + 0.999846i \(0.494422\pi\)
\(380\) 4.75019 + 2.74252i 0.243680 + 0.140689i
\(381\) −4.69069 + 2.57025i −0.240312 + 0.131678i
\(382\) −12.5468 21.7317i −0.641950 1.11189i
\(383\) 31.6323 1.61634 0.808168 0.588952i \(-0.200459\pi\)
0.808168 + 0.588952i \(0.200459\pi\)
\(384\) 1.73162 + 0.0386792i 0.0883663 + 0.00197384i
\(385\) −0.702489 + 0.962801i −0.0358022 + 0.0490689i
\(386\) 17.9048i 0.911331i
\(387\) −2.75197 0.123003i −0.139890 0.00625259i
\(388\) −8.69468 5.01988i −0.441406 0.254846i
\(389\) 28.0321i 1.42128i 0.703554 + 0.710641i \(0.251595\pi\)
−0.703554 + 0.710641i \(0.748405\pi\)
\(390\) 7.28430 + 4.42538i 0.368855 + 0.224088i
\(391\) 33.1214 + 19.1227i 1.67502 + 0.967075i
\(392\) −6.66607 + 2.13623i −0.336688 + 0.107896i
\(393\) 23.8606 13.0743i 1.20361 0.659513i
\(394\) −6.32615 + 10.9572i −0.318707 + 0.552017i
\(395\) −1.00320 + 1.73760i −0.0504765 + 0.0874279i
\(396\) 0.0603431 1.35007i 0.00303236 0.0678435i
\(397\) −25.3210 + 14.6191i −1.27083 + 0.733711i −0.975143 0.221575i \(-0.928880\pi\)
−0.295682 + 0.955286i \(0.595547\pi\)
\(398\) −10.5610 18.2922i −0.529374 0.916903i
\(399\) 23.2047 9.66144i 1.16169 0.483677i
\(400\) −0.500000 + 0.866025i −0.0250000 + 0.0433013i
\(401\) 11.5694i 0.577750i 0.957367 + 0.288875i \(0.0932812\pi\)
−0.957367 + 0.288875i \(0.906719\pi\)
\(402\) −3.86363 7.05111i −0.192700 0.351677i
\(403\) 2.82507 0.140727
\(404\) −2.74955 4.76235i −0.136795 0.236936i
\(405\) 3.78670 + 8.16461i 0.188163 + 0.405703i
\(406\) −19.8808 14.5057i −0.986669 0.719904i
\(407\) −0.563188 + 0.325157i −0.0279162 + 0.0161174i
\(408\) 13.6204 + 0.304239i 0.674310 + 0.0150621i
\(409\) −1.79921 + 1.03878i −0.0889653 + 0.0513641i −0.543823 0.839200i \(-0.683024\pi\)
0.454857 + 0.890564i \(0.349690\pi\)
\(410\) −1.65709 + 0.956724i −0.0818380 + 0.0472492i
\(411\) 10.8726 + 19.8425i 0.536307 + 0.978757i
\(412\) 13.4299 7.75376i 0.661644 0.382000i
\(413\) −2.49890 + 23.3226i −0.122963 + 1.14763i
\(414\) −6.72209 12.9457i −0.330373 0.636245i
\(415\) 4.76689 + 8.25650i 0.233998 + 0.405296i
\(416\) −4.92088 −0.241266
\(417\) 1.13493 + 0.0253509i 0.0555777 + 0.00124144i
\(418\) 2.47086i 0.120854i
\(419\) −3.15211 + 5.45962i −0.153991 + 0.266720i −0.932691 0.360676i \(-0.882546\pi\)
0.778700 + 0.627396i \(0.215879\pi\)
\(420\) 1.76141 + 4.23053i 0.0859482 + 0.206429i
\(421\) −1.30121 2.25376i −0.0634172 0.109842i 0.832574 0.553914i \(-0.186867\pi\)
−0.895991 + 0.444073i \(0.853533\pi\)
\(422\) 17.3434 10.0132i 0.844263 0.487436i
\(423\) −10.2665 19.7717i −0.499176 0.961333i
\(424\) −4.79542 + 8.30591i −0.232886 + 0.403371i
\(425\) −3.93285 + 6.81190i −0.190771 + 0.330426i
\(426\) −0.150296 + 6.72857i −0.00728187 + 0.326000i
\(427\) 10.5656 + 23.8601i 0.511303 + 1.15467i
\(428\) 8.60043 + 4.96546i 0.415717 + 0.240015i
\(429\) −0.0857409 + 3.83851i −0.00413961 + 0.185325i
\(430\) 0.918239i 0.0442814i
\(431\) −8.46126 4.88511i −0.407564 0.235307i 0.282178 0.959362i \(-0.408943\pi\)
−0.689743 + 0.724055i \(0.742276\pi\)
\(432\) −4.31596 2.89352i −0.207652 0.139215i
\(433\) 34.4543i 1.65577i −0.560898 0.827885i \(-0.689544\pi\)
0.560898 0.827885i \(-0.310456\pi\)
\(434\) 1.22703 + 0.895280i 0.0588994 + 0.0429748i
\(435\) −8.36515 + 13.7693i −0.401078 + 0.660187i
\(436\) 4.45646 0.213426
\(437\) 13.3349 + 23.0968i 0.637897 + 1.10487i
\(438\) −8.39840 5.10221i −0.401291 0.243793i
\(439\) −17.9508 10.3639i −0.856745 0.494642i 0.00617595 0.999981i \(-0.498034\pi\)
−0.862921 + 0.505339i \(0.831367\pi\)
\(440\) −0.450472 −0.0214754
\(441\) 20.3042 + 5.36099i 0.966866 + 0.255285i
\(442\) −38.7061 −1.84106
\(443\) 8.25856 + 4.76808i 0.392376 + 0.226538i 0.683189 0.730241i \(-0.260592\pi\)
−0.290813 + 0.956780i \(0.593926\pi\)
\(444\) −0.0558382 + 2.49981i −0.00264997 + 0.118636i
\(445\) 1.98445 + 3.43716i 0.0940719 + 0.162937i
\(446\) 2.81733 0.133405
\(447\) 3.84789 + 7.02237i 0.181999 + 0.332147i
\(448\) −2.13731 1.55945i −0.100979 0.0736771i
\(449\) 2.23000i 0.105240i −0.998615 0.0526200i \(-0.983243\pi\)
0.998615 0.0526200i \(-0.0167572\pi\)
\(450\) 2.66246 1.38250i 0.125510 0.0651715i
\(451\) −0.746475 0.430978i −0.0351501 0.0202939i
\(452\) 20.2030i 0.950271i
\(453\) −18.6862 + 10.2390i −0.877955 + 0.481073i
\(454\) −2.24315 1.29508i −0.105276 0.0607813i
\(455\) −5.27146 11.9045i −0.247130 0.558091i
\(456\) 8.11944 + 4.93274i 0.380228 + 0.230997i
\(457\) −6.43820 + 11.1513i −0.301166 + 0.521635i −0.976400 0.215968i \(-0.930709\pi\)
0.675234 + 0.737603i \(0.264043\pi\)
\(458\) −10.7592 + 18.6354i −0.502743 + 0.870776i
\(459\) −33.9481 22.7596i −1.58456 1.06233i
\(460\) −4.21087 + 2.43115i −0.196333 + 0.113353i
\(461\) 1.56738 + 2.71478i 0.0730000 + 0.126440i 0.900215 0.435446i \(-0.143409\pi\)
−0.827215 + 0.561886i \(0.810076\pi\)
\(462\) −1.25368 + 1.64003i −0.0583267 + 0.0763012i
\(463\) −7.25355 + 12.5635i −0.337101 + 0.583877i −0.983886 0.178796i \(-0.942780\pi\)
0.646785 + 0.762672i \(0.276113\pi\)
\(464\) 9.30178i 0.431824i
\(465\) 0.516292 0.849832i 0.0239425 0.0394100i
\(466\) −3.22684 −0.149480
\(467\) 4.83041 + 8.36651i 0.223525 + 0.387156i 0.955876 0.293771i \(-0.0949104\pi\)
−0.732351 + 0.680927i \(0.761577\pi\)
\(468\) 12.4425 + 7.94482i 0.575153 + 0.367249i
\(469\) −1.30844 + 12.2118i −0.0604180 + 0.563888i
\(470\) −6.43119 + 3.71305i −0.296648 + 0.171270i
\(471\) −17.2995 + 28.4755i −0.797120 + 1.31208i
\(472\) −7.67779 + 4.43278i −0.353399 + 0.204035i
\(473\) −0.358224 + 0.206821i −0.0164711 + 0.00950962i
\(474\) −1.80437 + 2.97005i −0.0828775 + 0.136419i
\(475\) −4.75019 + 2.74252i −0.217954 + 0.125836i
\(476\) −16.8115 12.2662i −0.770553 0.562219i
\(477\) 25.5352 13.2593i 1.16918 0.607101i
\(478\) 8.04923 + 13.9417i 0.368163 + 0.637677i
\(479\) 35.7357 1.63280 0.816402 0.577483i \(-0.195965\pi\)
0.816402 + 0.577483i \(0.195965\pi\)
\(480\) −0.899307 + 1.48029i −0.0410475 + 0.0675655i
\(481\) 7.10390i 0.323910i
\(482\) 12.8188 22.2029i 0.583881 1.01131i
\(483\) −2.86797 + 22.0965i −0.130497 + 1.00542i
\(484\) 5.39854 + 9.35054i 0.245388 + 0.425025i
\(485\) 8.69468 5.01988i 0.394805 0.227941i
\(486\) 6.24132 + 14.2845i 0.283112 + 0.647957i
\(487\) −9.42060 + 16.3170i −0.426888 + 0.739392i −0.996595 0.0824564i \(-0.973723\pi\)
0.569707 + 0.821848i \(0.307057\pi\)
\(488\) −4.93145 + 8.54152i −0.223236 + 0.386656i
\(489\) −9.22122 5.60210i −0.416998 0.253336i
\(490\) 1.48301 6.84110i 0.0669955 0.309050i
\(491\) −13.9486 8.05323i −0.629492 0.363437i 0.151064 0.988524i \(-0.451730\pi\)
−0.780555 + 0.625087i \(0.785064\pi\)
\(492\) −2.90646 + 1.59259i −0.131033 + 0.0717993i
\(493\) 73.1650i 3.29519i
\(494\) −23.3751 13.4956i −1.05170 0.607197i
\(495\) 1.13902 + 0.727293i 0.0511953 + 0.0326894i
\(496\) 0.574100i 0.0257778i
\(497\) 6.05958 8.30499i 0.271809 0.372530i
\(498\) 7.93508 + 14.4815i 0.355580 + 0.648931i
\(499\) 1.35262 0.0605518 0.0302759 0.999542i \(-0.490361\pi\)
0.0302759 + 0.999542i \(0.490361\pi\)
\(500\) −0.500000 0.866025i −0.0223607 0.0387298i
\(501\) 0.279000 12.4905i 0.0124648 0.558034i
\(502\) 11.0459 + 6.37734i 0.493002 + 0.284635i
\(503\) 39.9065 1.77934 0.889671 0.456603i \(-0.150934\pi\)
0.889671 + 0.456603i \(0.150934\pi\)
\(504\) 2.88646 + 7.39380i 0.128573 + 0.329346i
\(505\) 5.49909 0.244706
\(506\) −1.89688 1.09516i −0.0843266 0.0486860i
\(507\) −16.6014 10.0857i −0.737296 0.447923i
\(508\) 1.54404 + 2.67436i 0.0685058 + 0.118656i
\(509\) −10.8798 −0.482240 −0.241120 0.970495i \(-0.577515\pi\)
−0.241120 + 0.970495i \(0.577515\pi\)
\(510\) −7.07368 + 11.6435i −0.313228 + 0.515583i
\(511\) 6.07770 + 13.7252i 0.268861 + 0.607168i
\(512\) 1.00000i 0.0441942i
\(513\) −12.5661 25.5814i −0.554807 1.12945i
\(514\) 23.4499 + 13.5388i 1.03433 + 0.597171i
\(515\) 15.5075i 0.683343i
\(516\) −0.0355167 + 1.59004i −0.00156354 + 0.0699976i
\(517\) −2.89707 1.67263i −0.127413 0.0735620i
\(518\) 2.25126 3.08548i 0.0989147 0.135568i
\(519\) −0.603396 + 27.0133i −0.0264862 + 1.18575i
\(520\) 2.46044 4.26160i 0.107897 0.186884i
\(521\) 19.6042 33.9555i 0.858877 1.48762i −0.0141243 0.999900i \(-0.504496\pi\)
0.873001 0.487718i \(-0.162171\pi\)
\(522\) −15.0178 + 23.5196i −0.657313 + 1.02943i
\(523\) 13.7286 7.92622i 0.600310 0.346589i −0.168853 0.985641i \(-0.554006\pi\)
0.769164 + 0.639052i \(0.220673\pi\)
\(524\) −7.85422 13.6039i −0.343113 0.594290i
\(525\) −4.54446 0.589839i −0.198336 0.0257427i
\(526\) −6.66669 + 11.5471i −0.290682 + 0.503475i
\(527\) 4.51570i 0.196707i
\(528\) −0.780047 0.0174239i −0.0339472 0.000758278i
\(529\) −0.641865 −0.0279072
\(530\) −4.79542 8.30591i −0.208300 0.360786i
\(531\) 26.5701 + 1.18759i 1.15305 + 0.0515369i
\(532\) −5.87582 13.2693i −0.254749 0.575298i
\(533\) 8.15435 4.70792i 0.353204 0.203923i
\(534\) 3.30336 + 6.02862i 0.142950 + 0.260884i
\(535\) −8.60043 + 4.96546i −0.371829 + 0.214676i
\(536\) −4.02013 + 2.32102i −0.173643 + 0.100253i
\(537\) 6.60383 + 0.147510i 0.284976 + 0.00636552i
\(538\) −13.1361 + 7.58415i −0.566339 + 0.326976i
\(539\) 3.00288 0.962312i 0.129343 0.0414497i
\(540\) 4.66384 2.29097i 0.200700 0.0985878i
\(541\) −8.42008 14.5840i −0.362007 0.627015i 0.626284 0.779595i \(-0.284575\pi\)
−0.988291 + 0.152580i \(0.951242\pi\)
\(542\) 26.2938 1.12942
\(543\) 3.82431 + 6.97934i 0.164117 + 0.299512i
\(544\) 7.86570i 0.337239i
\(545\) −2.22823 + 3.85941i −0.0954470 + 0.165319i
\(546\) −8.66770 20.8179i −0.370943 0.890925i
\(547\) −13.5255 23.4268i −0.578307 1.00166i −0.995674 0.0929192i \(-0.970380\pi\)
0.417366 0.908738i \(-0.362953\pi\)
\(548\) 11.3130 6.53158i 0.483268 0.279015i
\(549\) 26.2596 13.6354i 1.12073 0.581945i
\(550\) 0.225236 0.390121i 0.00960410 0.0166348i
\(551\) 25.5104 44.1852i 1.08678 1.88235i
\(552\) −7.38565 + 4.04694i −0.314354 + 0.172249i
\(553\) 4.85385 2.14935i 0.206407 0.0913995i
\(554\) 20.1611 + 11.6400i 0.856563 + 0.494537i
\(555\) −2.13698 1.29826i −0.0907097 0.0551081i
\(556\) 0.655415i 0.0277958i
\(557\) 31.3474 + 18.0984i 1.32823 + 0.766854i 0.985026 0.172406i \(-0.0551542\pi\)
0.343205 + 0.939261i \(0.388487\pi\)
\(558\) 0.926891 1.45162i 0.0392384 0.0614518i
\(559\) 4.51854i 0.191114i
\(560\) 2.41918 1.07124i 0.102229 0.0452683i
\(561\) −6.13562 0.137051i −0.259046 0.00578631i
\(562\) −3.93045 −0.165796
\(563\) 7.00932 + 12.1405i 0.295408 + 0.511661i 0.975080 0.221855i \(-0.0712111\pi\)
−0.679672 + 0.733516i \(0.737878\pi\)
\(564\) −11.2800 + 6.18083i −0.474973 + 0.260260i
\(565\) −17.4964 10.1015i −0.736077 0.424974i
\(566\) −28.8938 −1.21450
\(567\) 4.63895 23.3555i 0.194817 0.980840i
\(568\) 3.88571 0.163041
\(569\) −22.2561 12.8496i −0.933024 0.538682i −0.0452575 0.998975i \(-0.514411\pi\)
−0.887767 + 0.460294i \(0.847744\pi\)
\(570\) −8.33160 + 4.56527i −0.348972 + 0.191218i
\(571\) −7.82510 13.5535i −0.327470 0.567195i 0.654539 0.756028i \(-0.272863\pi\)
−0.982009 + 0.188833i \(0.939530\pi\)
\(572\) 2.21672 0.0926857
\(573\) 43.4526 + 0.970600i 1.81526 + 0.0405474i
\(574\) 5.03369 + 0.539337i 0.210102 + 0.0225115i
\(575\) 4.86229i 0.202772i
\(576\) −1.61451 + 2.52851i −0.0672714 + 0.105354i
\(577\) −26.9592 15.5649i −1.12233 0.647976i −0.180334 0.983605i \(-0.557718\pi\)
−0.941994 + 0.335629i \(0.891051\pi\)
\(578\) 44.8693i 1.86632i
\(579\) −26.5042 16.1019i −1.10148 0.669173i
\(580\) 8.05558 + 4.65089i 0.334490 + 0.193118i
\(581\) 2.68725 25.0805i 0.111486 1.04051i
\(582\) 15.2500 8.35621i 0.632135 0.346376i
\(583\) 2.16020 3.74158i 0.0894665 0.154961i
\(584\) −2.83675 + 4.91339i −0.117385 + 0.203318i
\(585\) −13.1016 + 6.80309i −0.541686 + 0.281273i
\(586\) 3.74744 2.16359i 0.154805 0.0893770i
\(587\) −2.19821 3.80741i −0.0907299 0.157149i 0.817089 0.576512i \(-0.195587\pi\)
−0.907818 + 0.419363i \(0.862253\pi\)
\(588\) 2.83262 11.7888i 0.116815 0.486163i
\(589\) −1.57448 + 2.72708i −0.0648754 + 0.112368i
\(590\) 8.86555i 0.364989i
\(591\) −10.5307 19.2184i −0.433174 0.790540i
\(592\) 1.44362 0.0593326
\(593\) 8.99345 + 15.5771i 0.369317 + 0.639675i 0.989459 0.144814i \(-0.0462584\pi\)
−0.620142 + 0.784489i \(0.712925\pi\)
\(594\) 1.94422 + 1.30345i 0.0797724 + 0.0534813i
\(595\) 19.0286 8.42608i 0.780095 0.345436i
\(596\) 4.00375 2.31156i 0.164000 0.0946853i
\(597\) 36.5752 + 0.816981i 1.49692 + 0.0334368i
\(598\) 20.7212 11.9634i 0.847351 0.489218i
\(599\) −1.19486 + 0.689852i −0.0488206 + 0.0281866i −0.524212 0.851588i \(-0.675640\pi\)
0.475391 + 0.879775i \(0.342307\pi\)
\(600\) −0.832312 1.51897i −0.0339790 0.0620115i
\(601\) −40.5777 + 23.4275i −1.65520 + 0.955630i −0.680314 + 0.732921i \(0.738157\pi\)
−0.974885 + 0.222709i \(0.928510\pi\)
\(602\) 1.43195 1.96257i 0.0583618 0.0799882i
\(603\) 13.9122 + 0.621826i 0.566550 + 0.0253227i
\(604\) 6.15097 + 10.6538i 0.250279 + 0.433496i
\(605\) −10.7971 −0.438964
\(606\) 9.52233 + 0.212701i 0.386818 + 0.00864037i
\(607\) 22.5955i 0.917121i 0.888663 + 0.458561i \(0.151635\pi\)
−0.888663 + 0.458561i \(0.848365\pi\)
\(608\) 2.74252 4.75019i 0.111224 0.192646i
\(609\) 39.3515 16.3843i 1.59460 0.663924i
\(610\) −4.93145 8.54152i −0.199668 0.345836i
\(611\) 31.6471 18.2714i 1.28030 0.739183i
\(612\) −12.6993 + 19.8885i −0.513338 + 0.803945i
\(613\) 10.4551 18.1088i 0.422279 0.731409i −0.573883 0.818938i \(-0.694563\pi\)
0.996162 + 0.0875282i \(0.0278968\pi\)
\(614\) 0.209941 0.363629i 0.00847253 0.0146749i
\(615\) 0.0740106 3.31336i 0.00298440 0.133608i
\(616\) 0.962801 + 0.702489i 0.0387924 + 0.0283041i
\(617\) −8.43544 4.87020i −0.339598 0.196067i 0.320496 0.947250i \(-0.396150\pi\)
−0.660094 + 0.751183i \(0.729484\pi\)
\(618\) −0.599818 + 26.8531i −0.0241282 + 1.08019i
\(619\) 18.2795i 0.734715i −0.930080 0.367358i \(-0.880263\pi\)
0.930080 0.367358i \(-0.119737\pi\)
\(620\) −0.497185 0.287050i −0.0199674 0.0115282i
\(621\) 25.2085 + 1.69150i 1.01158 + 0.0678775i
\(622\) 6.28435i 0.251980i
\(623\) 1.11870 10.4410i 0.0448197 0.418308i
\(624\) 4.42538 7.28430i 0.177157 0.291606i
\(625\) 1.00000 0.0400000
\(626\) −2.84206 4.92258i −0.113591 0.196746i
\(627\) −3.65758 2.22206i −0.146070 0.0887407i
\(628\) 16.6593 + 9.61826i 0.664779 + 0.383810i
\(629\) 11.3551 0.452758
\(630\) −7.84645 1.19715i −0.312610 0.0476957i
\(631\) 23.4168 0.932209 0.466104 0.884730i \(-0.345657\pi\)
0.466104 + 0.884730i \(0.345657\pi\)
\(632\) 1.73760 + 1.00320i 0.0691178 + 0.0399052i
\(633\) −0.774606 + 34.6781i −0.0307878 + 1.37833i
\(634\) −5.01570 8.68744i −0.199199 0.345022i
\(635\) −3.08808 −0.122547
\(636\) −7.98257 14.5682i −0.316530 0.577665i
\(637\) −7.29770 + 33.6642i −0.289146 + 1.33382i
\(638\) 4.19019i 0.165891i
\(639\) −9.82505 6.27353i −0.388673 0.248177i
\(640\) 0.866025 + 0.500000i 0.0342327 + 0.0197642i
\(641\) 3.99917i 0.157958i −0.996876 0.0789788i \(-0.974834\pi\)
0.996876 0.0789788i \(-0.0251659\pi\)
\(642\) −15.0847 + 8.26563i −0.595347 + 0.326218i
\(643\) −14.6262 8.44444i −0.576801 0.333016i 0.183060 0.983102i \(-0.441400\pi\)
−0.759861 + 0.650085i \(0.774733\pi\)
\(644\) 12.7912 + 1.37052i 0.504044 + 0.0540059i
\(645\) −1.35926 0.825778i −0.0535207 0.0325150i
\(646\) 21.5719 37.3636i 0.848734 1.47005i
\(647\) −14.0753 + 24.3792i −0.553358 + 0.958443i 0.444672 + 0.895694i \(0.353320\pi\)
−0.998029 + 0.0627498i \(0.980013\pi\)
\(648\) 8.16461 3.78670i 0.320736 0.148756i
\(649\) 3.45863 1.99684i 0.135763 0.0783830i
\(650\) 2.46044 + 4.26160i 0.0965063 + 0.167154i
\(651\) −2.42875 + 1.01123i −0.0951902 + 0.0396331i
\(652\) −3.11468 + 5.39478i −0.121980 + 0.211276i
\(653\) 23.4509i 0.917704i 0.888513 + 0.458852i \(0.151739\pi\)
−0.888513 + 0.458852i \(0.848261\pi\)
\(654\) −4.00773 + 6.59684i −0.156715 + 0.257957i
\(655\) 15.7084 0.613780
\(656\) 0.956724 + 1.65709i 0.0373538 + 0.0646987i
\(657\) 15.1055 7.84358i 0.589321 0.306007i
\(658\) 19.5358 + 2.09317i 0.761584 + 0.0816002i
\(659\) 13.7094 7.91513i 0.534043 0.308330i −0.208618 0.977997i \(-0.566897\pi\)
0.742661 + 0.669667i \(0.233563\pi\)
\(660\) 0.405113 0.666828i 0.0157690 0.0259563i
\(661\) 10.3009 5.94725i 0.400660 0.231321i −0.286109 0.958197i \(-0.592362\pi\)
0.686769 + 0.726876i \(0.259028\pi\)
\(662\) −27.4558 + 15.8516i −1.06710 + 0.616089i
\(663\) 34.8087 57.2962i 1.35186 2.22520i
\(664\) 8.25650 4.76689i 0.320414 0.184991i
\(665\) 14.4295 + 1.54605i 0.559551 + 0.0599533i
\(666\) −3.65022 2.33075i −0.141443 0.0903147i
\(667\) 22.6140 + 39.1686i 0.875617 + 1.51661i
\(668\) −7.21319 −0.279087
\(669\) −2.53365 + 4.17046i −0.0979565 + 0.161239i
\(670\) 4.64204i 0.179338i
\(671\) 2.22148 3.84772i 0.0857593 0.148540i
\(672\) 4.23053 1.76141i 0.163196 0.0679480i
\(673\) −2.58993 4.48588i −0.0998343 0.172918i 0.811782 0.583961i \(-0.198498\pi\)
−0.911616 + 0.411043i \(0.865165\pi\)
\(674\) −12.2908 + 7.09612i −0.473425 + 0.273332i
\(675\) −0.347881 + 5.18449i −0.0133900 + 0.199551i
\(676\) −5.60751 + 9.71249i −0.215673 + 0.373557i
\(677\) −5.58197 + 9.66826i −0.214533 + 0.371582i −0.953128 0.302568i \(-0.902156\pi\)
0.738595 + 0.674149i \(0.235490\pi\)
\(678\) −29.9063 18.1687i −1.14854 0.697766i
\(679\) −26.4115 2.82987i −1.01358 0.108600i
\(680\) 6.81190 + 3.93285i 0.261224 + 0.150818i
\(681\) 3.93437 2.15583i 0.150766 0.0826115i
\(682\) 0.258616i 0.00990292i
\(683\) −31.3199 18.0825i −1.19842 0.691909i −0.238219 0.971211i \(-0.576564\pi\)
−0.960203 + 0.279302i \(0.909897\pi\)
\(684\) −14.6037 + 7.58305i −0.558388 + 0.289945i
\(685\) 13.0632i 0.499117i
\(686\) −13.8380 + 12.3089i −0.528338 + 0.469956i
\(687\) −17.9100 32.6856i −0.683308 1.24703i
\(688\) 0.918239 0.0350075
\(689\) 23.5977 + 40.8723i 0.898999 + 1.55711i
\(690\) 0.188069 8.41963i 0.00715968 0.320530i
\(691\) 5.80724 + 3.35281i 0.220918 + 0.127547i 0.606375 0.795179i \(-0.292623\pi\)
−0.385457 + 0.922726i \(0.625956\pi\)
\(692\) 15.6000 0.593024
\(693\) −1.30027 3.33070i −0.0493932 0.126523i
\(694\) 0.732838 0.0278181
\(695\) 0.567606 + 0.327707i 0.0215305 + 0.0124306i
\(696\) 13.7693 + 8.36515i 0.521924 + 0.317080i
\(697\) 7.52531 + 13.0342i 0.285041 + 0.493706i
\(698\) −26.7017 −1.01067
\(699\) 2.90192 4.77665i 0.109761 0.180669i
\(700\) −0.281867 + 2.63069i −0.0106536 + 0.0994309i
\(701\) 1.39464i 0.0526749i −0.999653 0.0263375i \(-0.991616\pi\)
0.999653 0.0263375i \(-0.00838445\pi\)
\(702\) −22.9502 + 11.2736i −0.866199 + 0.425494i
\(703\) 6.85749 + 3.95918i 0.258635 + 0.149323i
\(704\) 0.450472i 0.0169778i
\(705\) 0.287235 12.8592i 0.0108179 0.484304i
\(706\) 5.19889 + 3.00158i 0.195663 + 0.112966i
\(707\) −11.7533 8.57557i −0.442028 0.322517i
\(708\) 0.342912 15.3518i 0.0128874 0.576954i
\(709\) 24.8056 42.9645i 0.931593 1.61357i 0.150994 0.988535i \(-0.451753\pi\)
0.780599 0.625032i \(-0.214914\pi\)
\(710\) −1.94286 + 3.36513i −0.0729141 + 0.126291i
\(711\) −2.77384 5.34197i −0.104027 0.200340i
\(712\) 3.43716 1.98445i 0.128813 0.0743703i
\(713\) −1.39572 2.41746i −0.0522701 0.0905345i
\(714\) 33.2761 13.8548i 1.24533 0.518501i
\(715\) −1.10836 + 1.91973i −0.0414503 + 0.0717940i
\(716\) 3.81368i 0.142524i
\(717\) −27.8764 0.622675i −1.04106 0.0232542i
\(718\) 29.3148 1.09402
\(719\) −10.4343 18.0727i −0.389133 0.673998i 0.603200 0.797590i \(-0.293892\pi\)
−0.992333 + 0.123592i \(0.960559\pi\)
\(720\) −1.38250 2.66246i −0.0515226 0.0992241i
\(721\) 24.1832 33.1444i 0.900629 1.23436i
\(722\) 9.60055 5.54288i 0.357295 0.206285i
\(723\) 21.3385 + 38.9427i 0.793588 + 1.44829i
\(724\) 3.97921 2.29740i 0.147886 0.0853821i
\(725\) −8.05558 + 4.65089i −0.299177 + 0.172730i
\(726\) −18.6964 0.417622i −0.693889 0.0154994i
\(727\) −32.1908 + 18.5854i −1.19389 + 0.689293i −0.959187 0.282773i \(-0.908746\pi\)
−0.234704 + 0.972067i \(0.575412\pi\)
\(728\) −11.9045 + 5.27146i −0.441210 + 0.195373i
\(729\) −26.7580 3.60718i −0.991035 0.133599i
\(730\) −2.83675 4.91339i −0.104993 0.181853i
\(731\) 7.22260 0.267137
\(732\) −8.20901 14.9814i −0.303414 0.553728i
\(733\) 11.9964i 0.443096i −0.975149 0.221548i \(-0.928889\pi\)
0.975149 0.221548i \(-0.0711109\pi\)
\(734\) 10.0170 17.3499i 0.369733 0.640397i
\(735\) 8.79311 + 8.34753i 0.324339 + 0.307903i
\(736\) 2.43115 + 4.21087i 0.0896132 + 0.155215i
\(737\) 1.81096 1.04556i 0.0667075 0.0385136i
\(738\) 0.256316 5.73462i 0.00943513 0.211094i
\(739\) 16.6995 28.9243i 0.614300 1.06400i −0.376207 0.926535i \(-0.622772\pi\)
0.990507 0.137463i \(-0.0438947\pi\)
\(740\) −0.721812 + 1.25022i −0.0265343 + 0.0459588i
\(741\) 40.9988 22.4651i 1.50613 0.825278i
\(742\) −2.70334 + 25.2306i −0.0992426 + 0.926243i
\(743\) −42.2679 24.4034i −1.55066 0.895273i −0.998088 0.0618062i \(-0.980314\pi\)
−0.552570 0.833467i \(-0.686353\pi\)
\(744\) −0.849832 0.516292i −0.0311563 0.0189282i
\(745\) 4.62313i 0.169378i
\(746\) −5.94714 3.43358i −0.217740 0.125712i
\(747\) −28.5728 1.27710i −1.04542 0.0467267i
\(748\) 3.54328i 0.129555i
\(749\) 26.1252 + 2.79919i 0.954595 + 0.102280i
\(750\) 1.73162 + 0.0386792i 0.0632298 + 0.00141236i
\(751\) 10.6219 0.387599 0.193799 0.981041i \(-0.437919\pi\)
0.193799 + 0.981041i \(0.437919\pi\)
\(752\) 3.71305 + 6.43119i 0.135401 + 0.234521i
\(753\) −19.3739 + 10.6159i −0.706025 + 0.386864i
\(754\) −39.6405 22.8864i −1.44362 0.833475i
\(755\) −12.3019 −0.447713
\(756\) −13.5408 2.37650i −0.492473 0.0864326i
\(757\) −41.0132 −1.49065 −0.745326 0.666701i \(-0.767706\pi\)
−0.745326 + 0.666701i \(0.767706\pi\)
\(758\) 0.590817 + 0.341108i 0.0214594 + 0.0123896i
\(759\) 3.32703 1.82304i 0.120764 0.0661720i
\(760\) 2.74252 + 4.75019i 0.0994818 + 0.172308i
\(761\) 1.62266 0.0588212 0.0294106 0.999567i \(-0.490637\pi\)
0.0294106 + 0.999567i \(0.490637\pi\)
\(762\) −5.34739 0.119445i −0.193715 0.00432702i
\(763\) 10.7810 4.77396i 0.390298 0.172829i
\(764\) 25.0936i 0.907855i
\(765\) −10.8743 20.9421i −0.393161 0.757165i
\(766\) 27.3944 +