Properties

Label 354.2.e.b.139.2
Level 354
Weight 2
Character 354.139
Analytic conductor 2.827
Analytic rank 0
Dimension 56
CM No

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\) and degree \(28\))

Newform invariants

Self dual: No
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(2\) over \(\Q(\zeta_{29})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 139.2
Character \(\chi\) = 354.139
Dual form 354.2.e.b.163.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.856857 + 0.515554i) q^{2} +(0.370138 - 0.928977i) q^{3} +(0.468408 + 0.883512i) q^{4} +(3.29813 + 0.358693i) q^{5} +(0.796093 - 0.605174i) q^{6} +(-0.183400 - 0.0617948i) q^{7} +(-0.0541389 + 0.998533i) q^{8} +(-0.725995 - 0.687699i) q^{9} +O(q^{10})\) \(q+(0.856857 + 0.515554i) q^{2} +(0.370138 - 0.928977i) q^{3} +(0.468408 + 0.883512i) q^{4} +(3.29813 + 0.358693i) q^{5} +(0.796093 - 0.605174i) q^{6} +(-0.183400 - 0.0617948i) q^{7} +(-0.0541389 + 0.998533i) q^{8} +(-0.725995 - 0.687699i) q^{9} +(2.64110 + 2.00771i) q^{10} +(-0.940367 - 1.38694i) q^{11} +(0.994138 - 0.108119i) q^{12} +(-1.67838 + 1.58984i) q^{13} +(-0.125289 - 0.147502i) q^{14} +(1.55398 - 2.93112i) q^{15} +(-0.561187 + 0.827689i) q^{16} +(-1.50607 + 0.507454i) q^{17} +(-0.267528 - 0.963550i) q^{18} +(0.143551 - 0.875620i) q^{19} +(1.22796 + 3.08195i) q^{20} +(-0.125289 + 0.147502i) q^{21} +(-0.0907192 - 1.67322i) q^{22} +(0.528039 - 1.90182i) q^{23} +(0.907575 + 0.419889i) q^{24} +(5.86589 + 1.29118i) q^{25} +(-2.25778 + 0.496975i) q^{26} +(-0.907575 + 0.419889i) q^{27} +(-0.0313099 - 0.190982i) q^{28} +(-1.94413 + 1.16974i) q^{29} +(2.84269 - 1.71039i) q^{30} +(-0.0829904 - 0.506219i) q^{31} +(-0.907575 + 0.419889i) q^{32} +(-1.63650 + 0.360221i) q^{33} +(-1.55211 - 0.341645i) q^{34} +(-0.582713 - 0.269592i) q^{35} +(0.267528 - 0.963550i) q^{36} +(0.111353 + 2.05378i) q^{37} +(0.574432 - 0.676273i) q^{38} +(0.855697 + 2.14764i) q^{39} +(-0.536724 + 3.27387i) q^{40} +(2.31358 + 8.33275i) q^{41} +(-0.183400 + 0.0617948i) q^{42} +(7.12569 - 10.5096i) q^{43} +(0.784900 - 1.48048i) q^{44} +(-2.14775 - 2.52853i) q^{45} +(1.43295 - 1.35736i) q^{46} +(-5.54810 + 0.603392i) q^{47} +(0.561187 + 0.827689i) q^{48} +(-5.54283 - 4.21355i) q^{49} +(4.36056 + 4.13054i) q^{50} +(-0.0860410 + 1.58693i) q^{51} +(-2.19081 - 0.738171i) q^{52} +(-7.64305 + 5.81010i) q^{53} +(-0.994138 - 0.108119i) q^{54} +(-2.60397 - 4.91160i) q^{55} +(0.0716333 - 0.179786i) q^{56} +(-0.760297 - 0.457456i) q^{57} -2.26891 q^{58} +(-7.34627 - 2.24330i) q^{59} +3.31758 q^{60} +(2.82386 + 1.69906i) q^{61} +(0.189872 - 0.476543i) q^{62} +(0.0906516 + 0.170987i) q^{63} +(-0.994138 - 0.108119i) q^{64} +(-6.10578 + 4.64149i) q^{65} +(-1.58796 - 0.535046i) q^{66} +(0.0874166 - 1.61230i) q^{67} +(-1.15380 - 1.09294i) q^{68} +(-1.57130 - 1.19447i) q^{69} +(-0.360313 - 0.531422i) q^{70} +(-12.6658 + 1.37749i) q^{71} +(0.725995 - 0.687699i) q^{72} +(-2.70453 - 3.18402i) q^{73} +(-0.963423 + 1.81721i) q^{74} +(3.37067 - 4.97136i) q^{75} +(0.840861 - 0.283319i) q^{76} +(0.0867582 + 0.312475i) q^{77} +(-0.374013 + 2.28138i) q^{78} +(2.00942 + 5.04327i) q^{79} +(-2.14775 + 2.52853i) q^{80} +(0.0541389 + 0.998533i) q^{81} +(-2.31358 + 8.33275i) q^{82} +(-5.97213 - 2.76300i) q^{83} +(-0.189007 - 0.0416035i) q^{84} +(-5.14924 + 1.13343i) q^{85} +(11.5240 - 5.33156i) q^{86} +(0.367068 + 2.23902i) q^{87} +(1.43581 - 0.863901i) q^{88} +(1.81011 - 1.08911i) q^{89} +(-0.536724 - 3.27387i) q^{90} +(0.406060 - 0.187863i) q^{91} +(1.92762 - 0.424302i) q^{92} +(-0.500983 - 0.110275i) q^{93} +(-5.06501 - 2.34332i) q^{94} +(0.787527 - 2.83642i) q^{95} +(0.0541389 + 0.998533i) q^{96} +(9.22955 - 10.8659i) q^{97} +(-2.57710 - 6.46804i) q^{98} +(-0.271094 + 1.65360i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + O(q^{10}) \) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + 2q^{10} + 30q^{11} + 2q^{12} + 5q^{13} + 28q^{14} + 2q^{15} - 2q^{16} - 3q^{17} + 2q^{18} - 4q^{19} - 2q^{20} + 28q^{21} - q^{22} - 2q^{23} - 2q^{24} + 64q^{25} - 34q^{26} + 2q^{27} + q^{28} + 8q^{29} - 2q^{30} + 2q^{32} - q^{33} + 32q^{34} - 87q^{35} - 2q^{36} + 47q^{37} + 4q^{38} - 5q^{39} + 2q^{40} + 3q^{41} + q^{42} - 61q^{43} + q^{44} - 2q^{45} - 27q^{46} + 50q^{47} + 2q^{48} - 45q^{49} - 6q^{50} + 3q^{51} - 24q^{52} - 27q^{53} - 2q^{54} - 95q^{55} - q^{56} + 4q^{57} + 50q^{58} - 58q^{59} + 2q^{60} - 74q^{61} - 29q^{62} + q^{63} - 2q^{64} - 17q^{65} + q^{66} + 4q^{67} - 32q^{68} + 31q^{69} - 58q^{70} - 47q^{71} + 2q^{72} + 43q^{73} - 18q^{74} - 6q^{75} - 33q^{76} - 5q^{77} + 5q^{78} + 19q^{79} - 2q^{80} - 2q^{81} - 3q^{82} + 47q^{83} - q^{84} - 149q^{85} - 55q^{86} + 21q^{87} + 28q^{88} + 36q^{89} + 2q^{90} + 175q^{91} - 2q^{92} - 29q^{93} - 21q^{94} + 50q^{95} - 2q^{96} + 10q^{97} - 13q^{98} + q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{5}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.856857 + 0.515554i 0.605890 + 0.364552i
\(3\) 0.370138 0.928977i 0.213699 0.536345i
\(4\) 0.468408 + 0.883512i 0.234204 + 0.441756i
\(5\) 3.29813 + 0.358693i 1.47497 + 0.160412i 0.809987 0.586448i \(-0.199474\pi\)
0.664981 + 0.746860i \(0.268440\pi\)
\(6\) 0.796093 0.605174i 0.325004 0.247061i
\(7\) −0.183400 0.0617948i −0.0693189 0.0233562i 0.284428 0.958697i \(-0.408196\pi\)
−0.353747 + 0.935341i \(0.615093\pi\)
\(8\) −0.0541389 + 0.998533i −0.0191410 + 0.353035i
\(9\) −0.725995 0.687699i −0.241998 0.229233i
\(10\) 2.64110 + 2.00771i 0.835189 + 0.634894i
\(11\) −0.940367 1.38694i −0.283531 0.418178i 0.659078 0.752074i \(-0.270947\pi\)
−0.942610 + 0.333897i \(0.891636\pi\)
\(12\) 0.994138 0.108119i 0.286983 0.0312113i
\(13\) −1.67838 + 1.58984i −0.465499 + 0.440944i −0.884150 0.467203i \(-0.845262\pi\)
0.418651 + 0.908147i \(0.362503\pi\)
\(14\) −0.125289 0.147502i −0.0334850 0.0394216i
\(15\) 1.55398 2.93112i 0.401236 0.756812i
\(16\) −0.561187 + 0.827689i −0.140297 + 0.206922i
\(17\) −1.50607 + 0.507454i −0.365276 + 0.123076i −0.495953 0.868349i \(-0.665181\pi\)
0.130678 + 0.991425i \(0.458285\pi\)
\(18\) −0.267528 0.963550i −0.0630570 0.227111i
\(19\) 0.143551 0.875620i 0.0329328 0.200881i −0.965235 0.261382i \(-0.915822\pi\)
0.998168 + 0.0605013i \(0.0192699\pi\)
\(20\) 1.22796 + 3.08195i 0.274581 + 0.689145i
\(21\) −0.125289 + 0.147502i −0.0273404 + 0.0321876i
\(22\) −0.0907192 1.67322i −0.0193414 0.356731i
\(23\) 0.528039 1.90182i 0.110104 0.396558i −0.887877 0.460082i \(-0.847820\pi\)
0.997980 + 0.0635239i \(0.0202339\pi\)
\(24\) 0.907575 + 0.419889i 0.185258 + 0.0857095i
\(25\) 5.86589 + 1.29118i 1.17318 + 0.258236i
\(26\) −2.25778 + 0.496975i −0.442787 + 0.0974649i
\(27\) −0.907575 + 0.419889i −0.174663 + 0.0808077i
\(28\) −0.0313099 0.190982i −0.00591701 0.0360922i
\(29\) −1.94413 + 1.16974i −0.361016 + 0.217216i −0.684492 0.729020i \(-0.739976\pi\)
0.323476 + 0.946236i \(0.395148\pi\)
\(30\) 2.84269 1.71039i 0.519002 0.312273i
\(31\) −0.0829904 0.506219i −0.0149055 0.0909196i 0.978326 0.207070i \(-0.0663928\pi\)
−0.993232 + 0.116150i \(0.962945\pi\)
\(32\) −0.907575 + 0.419889i −0.160438 + 0.0742266i
\(33\) −1.63650 + 0.360221i −0.284878 + 0.0627064i
\(34\) −1.55211 0.341645i −0.266184 0.0585916i
\(35\) −0.582713 0.269592i −0.0984965 0.0455693i
\(36\) 0.267528 0.963550i 0.0445881 0.160592i
\(37\) 0.111353 + 2.05378i 0.0183063 + 0.337640i 0.993312 + 0.115460i \(0.0368344\pi\)
−0.975006 + 0.222180i \(0.928683\pi\)
\(38\) 0.574432 0.676273i 0.0931851 0.109706i
\(39\) 0.855697 + 2.14764i 0.137021 + 0.343897i
\(40\) −0.536724 + 3.27387i −0.0848635 + 0.517645i
\(41\) 2.31358 + 8.33275i 0.361320 + 1.30136i 0.891326 + 0.453363i \(0.149776\pi\)
−0.530006 + 0.847994i \(0.677810\pi\)
\(42\) −0.183400 + 0.0617948i −0.0282993 + 0.00953515i
\(43\) 7.12569 10.5096i 1.08666 1.60270i 0.336190 0.941794i \(-0.390862\pi\)
0.750468 0.660907i \(-0.229828\pi\)
\(44\) 0.784900 1.48048i 0.118328 0.223191i
\(45\) −2.14775 2.52853i −0.320168 0.376931i
\(46\) 1.43295 1.35736i 0.211277 0.200132i
\(47\) −5.54810 + 0.603392i −0.809273 + 0.0880137i −0.503394 0.864057i \(-0.667916\pi\)
−0.305879 + 0.952071i \(0.598950\pi\)
\(48\) 0.561187 + 0.827689i 0.0810004 + 0.119467i
\(49\) −5.54283 4.21355i −0.791833 0.601936i
\(50\) 4.36056 + 4.13054i 0.616676 + 0.584147i
\(51\) −0.0860410 + 1.58693i −0.0120481 + 0.222215i
\(52\) −2.19081 0.738171i −0.303811 0.102366i
\(53\) −7.64305 + 5.81010i −1.04985 + 0.798078i −0.979903 0.199472i \(-0.936077\pi\)
−0.0699505 + 0.997550i \(0.522284\pi\)
\(54\) −0.994138 0.108119i −0.135285 0.0147131i
\(55\) −2.60397 4.91160i −0.351119 0.662280i
\(56\) 0.0716333 0.179786i 0.00957240 0.0240249i
\(57\) −0.760297 0.457456i −0.100704 0.0605915i
\(58\) −2.26891 −0.297922
\(59\) −7.34627 2.24330i −0.956402 0.292053i
\(60\) 3.31758 0.428297
\(61\) 2.82386 + 1.69906i 0.361558 + 0.217542i 0.684728 0.728799i \(-0.259921\pi\)
−0.323170 + 0.946341i \(0.604749\pi\)
\(62\) 0.189872 0.476543i 0.0241138 0.0605211i
\(63\) 0.0906516 + 0.170987i 0.0114210 + 0.0215424i
\(64\) −0.994138 0.108119i −0.124267 0.0135149i
\(65\) −6.10578 + 4.64149i −0.757328 + 0.575706i
\(66\) −1.58796 0.535046i −0.195464 0.0658596i
\(67\) 0.0874166 1.61230i 0.0106796 0.196974i −0.988325 0.152362i \(-0.951312\pi\)
0.999004 0.0446122i \(-0.0142052\pi\)
\(68\) −1.15380 1.09294i −0.139919 0.132538i
\(69\) −1.57130 1.19447i −0.189163 0.143798i
\(70\) −0.360313 0.531422i −0.0430656 0.0635170i
\(71\) −12.6658 + 1.37749i −1.50316 + 0.163478i −0.822350 0.568982i \(-0.807337\pi\)
−0.680810 + 0.732460i \(0.738372\pi\)
\(72\) 0.725995 0.687699i 0.0855594 0.0810462i
\(73\) −2.70453 3.18402i −0.316541 0.372661i 0.580764 0.814072i \(-0.302754\pi\)
−0.897305 + 0.441411i \(0.854478\pi\)
\(74\) −0.963423 + 1.81721i −0.111996 + 0.211246i
\(75\) 3.37067 4.97136i 0.389211 0.574043i
\(76\) 0.840861 0.283319i 0.0964534 0.0324989i
\(77\) 0.0867582 + 0.312475i 0.00988702 + 0.0356098i
\(78\) −0.374013 + 2.28138i −0.0423486 + 0.258315i
\(79\) 2.00942 + 5.04327i 0.226078 + 0.567413i 0.997634 0.0687486i \(-0.0219006\pi\)
−0.771556 + 0.636161i \(0.780521\pi\)
\(80\) −2.14775 + 2.52853i −0.240126 + 0.282698i
\(81\) 0.0541389 + 0.998533i 0.00601543 + 0.110948i
\(82\) −2.31358 + 8.33275i −0.255492 + 0.920198i
\(83\) −5.97213 2.76300i −0.655526 0.303279i 0.0637881 0.997963i \(-0.479682\pi\)
−0.719314 + 0.694685i \(0.755544\pi\)
\(84\) −0.189007 0.0416035i −0.0206223 0.00453931i
\(85\) −5.14924 + 1.13343i −0.558513 + 0.122938i
\(86\) 11.5240 5.33156i 1.24266 0.574917i
\(87\) 0.367068 + 2.23902i 0.0393538 + 0.240048i
\(88\) 1.43581 0.863901i 0.153058 0.0920921i
\(89\) 1.81011 1.08911i 0.191871 0.115445i −0.416377 0.909192i \(-0.636700\pi\)
0.608248 + 0.793747i \(0.291873\pi\)
\(90\) −0.536724 3.27387i −0.0565757 0.345097i
\(91\) 0.406060 0.187863i 0.0425666 0.0196934i
\(92\) 1.92762 0.424302i 0.200969 0.0442365i
\(93\) −0.500983 0.110275i −0.0519496 0.0114350i
\(94\) −5.06501 2.34332i −0.522416 0.241695i
\(95\) 0.787527 2.83642i 0.0807986 0.291010i
\(96\) 0.0541389 + 0.998533i 0.00552553 + 0.101912i
\(97\) 9.22955 10.8659i 0.937119 1.10326i −0.0573631 0.998353i \(-0.518269\pi\)
0.994482 0.104908i \(-0.0334549\pi\)
\(98\) −2.57710 6.46804i −0.260327 0.653371i
\(99\) −0.271094 + 1.65360i −0.0272460 + 0.166193i
\(100\) 1.60686 + 5.78739i 0.160686 + 0.578739i
\(101\) 12.7942 4.31086i 1.27307 0.428947i 0.399987 0.916521i \(-0.369014\pi\)
0.873082 + 0.487574i \(0.162118\pi\)
\(102\) −0.891874 + 1.31542i −0.0883087 + 0.130246i
\(103\) 0.0597340 0.112670i 0.00588577 0.0111017i −0.880552 0.473950i \(-0.842828\pi\)
0.886437 + 0.462848i \(0.153173\pi\)
\(104\) −1.49665 1.76199i −0.146758 0.172777i
\(105\) −0.466129 + 0.441541i −0.0454895 + 0.0430900i
\(106\) −9.54442 + 1.03802i −0.927036 + 0.100821i
\(107\) 8.72160 + 12.8634i 0.843149 + 1.24355i 0.967893 + 0.251363i \(0.0808787\pi\)
−0.124744 + 0.992189i \(0.539811\pi\)
\(108\) −0.796093 0.605174i −0.0766041 0.0582329i
\(109\) 11.8118 + 11.1887i 1.13137 + 1.07169i 0.996731 + 0.0807920i \(0.0257450\pi\)
0.134635 + 0.990895i \(0.457014\pi\)
\(110\) 0.300968 5.55103i 0.0286962 0.529270i
\(111\) 1.94913 + 0.656740i 0.185004 + 0.0623350i
\(112\) 0.154069 0.117120i 0.0145581 0.0110668i
\(113\) −4.70885 0.512118i −0.442971 0.0481760i −0.116084 0.993239i \(-0.537034\pi\)
−0.326887 + 0.945063i \(0.606000\pi\)
\(114\) −0.415623 0.783948i −0.0389267 0.0734235i
\(115\) 2.42371 6.08306i 0.226012 0.567248i
\(116\) −1.94413 1.16974i −0.180508 0.108608i
\(117\) 2.31183 0.213729
\(118\) −5.13816 5.70958i −0.473006 0.525610i
\(119\) 0.307572 0.0281951
\(120\) 2.84269 + 1.71039i 0.259501 + 0.156136i
\(121\) 3.03221 7.61028i 0.275656 0.691844i
\(122\) 1.54369 + 2.91170i 0.139759 + 0.263613i
\(123\) 8.59727 + 0.935010i 0.775190 + 0.0843070i
\(124\) 0.408377 0.310440i 0.0366733 0.0278783i
\(125\) 3.16377 + 1.06600i 0.282976 + 0.0953458i
\(126\) −0.0104776 + 0.193247i −0.000933416 + 0.0172158i
\(127\) −7.24702 6.86475i −0.643069 0.609148i 0.295041 0.955485i \(-0.404667\pi\)
−0.938110 + 0.346337i \(0.887425\pi\)
\(128\) −0.796093 0.605174i −0.0703654 0.0534903i
\(129\) −7.12569 10.5096i −0.627382 0.925320i
\(130\) −7.62472 + 0.829238i −0.668732 + 0.0727290i
\(131\) 9.13909 8.65701i 0.798486 0.756366i −0.175133 0.984545i \(-0.556036\pi\)
0.973619 + 0.228179i \(0.0732770\pi\)
\(132\) −1.08481 1.27714i −0.0944205 0.111160i
\(133\) −0.0804360 + 0.151718i −0.00697469 + 0.0131557i
\(134\) 0.906133 1.33645i 0.0782779 0.115451i
\(135\) −3.14391 + 1.05931i −0.270585 + 0.0911707i
\(136\) −0.425173 1.53133i −0.0364583 0.131311i
\(137\) −3.19000 + 19.4581i −0.272540 + 1.66242i 0.395630 + 0.918410i \(0.370526\pi\)
−0.668169 + 0.744009i \(0.732922\pi\)
\(138\) −0.730567 1.83358i −0.0621900 0.156085i
\(139\) −3.97545 + 4.68026i −0.337193 + 0.396975i −0.904459 0.426560i \(-0.859725\pi\)
0.567266 + 0.823535i \(0.308001\pi\)
\(140\) −0.0347601 0.641113i −0.00293777 0.0541839i
\(141\) −1.49303 + 5.37739i −0.125735 + 0.452858i
\(142\) −11.5630 5.34961i −0.970345 0.448929i
\(143\) 3.78331 + 0.832769i 0.316376 + 0.0696397i
\(144\) 0.976621 0.214970i 0.0813850 0.0179142i
\(145\) −6.83157 + 3.16062i −0.567331 + 0.262475i
\(146\) −0.675862 4.12258i −0.0559348 0.341187i
\(147\) −5.96591 + 3.58957i −0.492060 + 0.296063i
\(148\) −1.76238 + 1.06039i −0.144867 + 0.0871636i
\(149\) −1.46249 8.92077i −0.119811 0.730818i −0.976586 0.215127i \(-0.930984\pi\)
0.856775 0.515691i \(-0.172465\pi\)
\(150\) 5.45119 2.52199i 0.445087 0.205919i
\(151\) 19.0280 4.18838i 1.54848 0.340846i 0.643211 0.765689i \(-0.277602\pi\)
0.905267 + 0.424843i \(0.139671\pi\)
\(152\) 0.866564 + 0.190745i 0.0702876 + 0.0154715i
\(153\) 1.44238 + 0.667314i 0.116609 + 0.0539492i
\(154\) −0.0867582 + 0.312475i −0.00699118 + 0.0251799i
\(155\) −0.0921357 1.69934i −0.00740052 0.136495i
\(156\) −1.49665 + 1.76199i −0.119828 + 0.141072i
\(157\) 4.85088 + 12.1748i 0.387143 + 0.971655i 0.985385 + 0.170340i \(0.0544865\pi\)
−0.598243 + 0.801315i \(0.704134\pi\)
\(158\) −0.878290 + 5.35733i −0.0698730 + 0.426206i
\(159\) 2.56846 + 9.25076i 0.203692 + 0.733633i
\(160\) −3.14391 + 1.05931i −0.248548 + 0.0837456i
\(161\) −0.214365 + 0.316165i −0.0168944 + 0.0249173i
\(162\) −0.468408 + 0.883512i −0.0368016 + 0.0694153i
\(163\) −1.74231 2.05120i −0.136468 0.160663i 0.689683 0.724112i \(-0.257750\pi\)
−0.826151 + 0.563449i \(0.809474\pi\)
\(164\) −6.27839 + 5.94720i −0.490260 + 0.464399i
\(165\) −5.52659 + 0.601053i −0.430245 + 0.0467919i
\(166\) −3.69279 5.44645i −0.286616 0.422727i
\(167\) 8.54148 + 6.49306i 0.660959 + 0.502448i 0.881045 0.473032i \(-0.156841\pi\)
−0.220086 + 0.975481i \(0.570634\pi\)
\(168\) −0.140503 0.133091i −0.0108400 0.0102682i
\(169\) −0.414457 + 7.64421i −0.0318813 + 0.588016i
\(170\) −4.99651 1.68352i −0.383214 0.129120i
\(171\) −0.706381 + 0.536977i −0.0540183 + 0.0410636i
\(172\) 12.6231 + 1.37285i 0.962503 + 0.104678i
\(173\) 1.04016 + 1.96195i 0.0790820 + 0.149164i 0.919899 0.392154i \(-0.128270\pi\)
−0.840817 + 0.541319i \(0.817925\pi\)
\(174\) −0.839809 + 2.10776i −0.0636657 + 0.159789i
\(175\) −0.996019 0.599285i −0.0752920 0.0453017i
\(176\) 1.67568 0.126309
\(177\) −4.80311 + 5.99418i −0.361024 + 0.450550i
\(178\) 2.11250 0.158338
\(179\) 8.06325 + 4.85149i 0.602675 + 0.362618i 0.783959 0.620813i \(-0.213197\pi\)
−0.181283 + 0.983431i \(0.558025\pi\)
\(180\) 1.22796 3.08195i 0.0915269 0.229715i
\(181\) 8.18444 + 15.4375i 0.608345 + 1.14746i 0.976056 + 0.217520i \(0.0697968\pi\)
−0.367711 + 0.929940i \(0.619858\pi\)
\(182\) 0.444789 + 0.0483737i 0.0329699 + 0.00358570i
\(183\) 2.62360 1.99441i 0.193942 0.147431i
\(184\) 1.87045 + 0.630227i 0.137891 + 0.0464610i
\(185\) −0.369422 + 6.81359i −0.0271604 + 0.500945i
\(186\) −0.372419 0.352774i −0.0273071 0.0258666i
\(187\) 2.12007 + 1.61163i 0.155035 + 0.117854i
\(188\) −3.13188 4.61918i −0.228416 0.336888i
\(189\) 0.192397 0.0209244i 0.0139948 0.00152203i
\(190\) 2.13712 2.02439i 0.155043 0.146865i
\(191\) 7.77817 + 9.15717i 0.562809 + 0.662590i 0.967797 0.251732i \(-0.0810002\pi\)
−0.404988 + 0.914322i \(0.632724\pi\)
\(192\) −0.468408 + 0.883512i −0.0338045 + 0.0637620i
\(193\) 7.43776 10.9699i 0.535382 0.789629i −0.459764 0.888041i \(-0.652066\pi\)
0.995146 + 0.0984119i \(0.0313763\pi\)
\(194\) 13.5103 4.55217i 0.969986 0.326826i
\(195\) 2.05186 + 7.39012i 0.146936 + 0.529217i
\(196\) 1.12641 6.87082i 0.0804582 0.490773i
\(197\) −6.95050 17.4444i −0.495203 1.24287i −0.938122 0.346304i \(-0.887437\pi\)
0.442920 0.896561i \(-0.353943\pi\)
\(198\) −1.08481 + 1.27714i −0.0770940 + 0.0907621i
\(199\) −0.973868 17.9619i −0.0690357 1.27329i −0.803773 0.594936i \(-0.797177\pi\)
0.734737 0.678352i \(-0.237305\pi\)
\(200\) −1.60686 + 5.78739i −0.113622 + 0.409230i
\(201\) −1.46544 0.677983i −0.103364 0.0478212i
\(202\) 13.1853 + 2.90230i 0.927713 + 0.204205i
\(203\) 0.428838 0.0943944i 0.0300985 0.00662519i
\(204\) −1.44238 + 0.667314i −0.100987 + 0.0467214i
\(205\) 4.64157 + 28.3124i 0.324182 + 1.97742i
\(206\) 0.109271 0.0657463i 0.00761328 0.00458076i
\(207\) −1.69124 + 1.01758i −0.117549 + 0.0707270i
\(208\) −0.374013 2.28138i −0.0259331 0.158185i
\(209\) −1.34942 + 0.624309i −0.0933414 + 0.0431843i
\(210\) −0.627044 + 0.138023i −0.0432701 + 0.00952448i
\(211\) −3.41780 0.752315i −0.235291 0.0517915i 0.0957594 0.995405i \(-0.469472\pi\)
−0.331051 + 0.943613i \(0.607403\pi\)
\(212\) −8.71336 4.03123i −0.598436 0.276866i
\(213\) −3.40845 + 12.2761i −0.233543 + 0.841147i
\(214\) 0.841391 + 15.5186i 0.0575163 + 1.06083i
\(215\) 27.2712 32.1061i 1.85988 2.18962i
\(216\) −0.370138 0.928977i −0.0251847 0.0632089i
\(217\) −0.0160612 + 0.0979691i −0.00109031 + 0.00665058i
\(218\) 4.35264 + 15.6768i 0.294798 + 1.06177i
\(219\) −3.95893 + 1.33392i −0.267519 + 0.0901378i
\(220\) 3.11974 4.60127i 0.210333 0.310218i
\(221\) 1.72098 3.24612i 0.115766 0.218358i
\(222\) 1.33154 + 1.56762i 0.0893674 + 0.105211i
\(223\) −5.71184 + 5.41054i −0.382493 + 0.362317i −0.854656 0.519195i \(-0.826232\pi\)
0.472163 + 0.881511i \(0.343473\pi\)
\(224\) 0.192397 0.0209244i 0.0128550 0.00139807i
\(225\) −3.37067 4.97136i −0.224711 0.331424i
\(226\) −3.77078 2.86648i −0.250829 0.190675i
\(227\) 3.95182 + 3.74336i 0.262292 + 0.248456i 0.807532 0.589824i \(-0.200803\pi\)
−0.545240 + 0.838280i \(0.683562\pi\)
\(228\) 0.0480379 0.886008i 0.00318139 0.0586773i
\(229\) −8.74397 2.94619i −0.577818 0.194689i 0.0151922 0.999885i \(-0.495164\pi\)
−0.593010 + 0.805195i \(0.702061\pi\)
\(230\) 5.21292 3.96276i 0.343730 0.261297i
\(231\) 0.322394 + 0.0350625i 0.0212120 + 0.00230694i
\(232\) −1.06277 2.00461i −0.0697746 0.131609i
\(233\) 3.95149 9.91750i 0.258871 0.649717i −0.740889 0.671628i \(-0.765596\pi\)
0.999760 + 0.0219104i \(0.00697485\pi\)
\(234\) 1.98091 + 1.19187i 0.129496 + 0.0779152i
\(235\) −18.5148 −1.20777
\(236\) −1.45907 7.54129i −0.0949774 0.490896i
\(237\) 5.42885 0.352642
\(238\) 0.263545 + 0.158570i 0.0170831 + 0.0102786i
\(239\) 4.78002 11.9970i 0.309194 0.776018i −0.689468 0.724316i \(-0.742156\pi\)
0.998663 0.0517028i \(-0.0164649\pi\)
\(240\) 1.55398 + 2.93112i 0.100309 + 0.189203i
\(241\) 30.7174 + 3.34072i 1.97868 + 0.215195i 0.999949 + 0.0100683i \(0.00320489\pi\)
0.978735 + 0.205127i \(0.0657606\pi\)
\(242\) 6.52168 4.95766i 0.419230 0.318690i
\(243\) 0.947653 + 0.319302i 0.0607920 + 0.0204832i
\(244\) −0.178420 + 3.29076i −0.0114222 + 0.210670i
\(245\) −16.7696 15.8850i −1.07137 1.01486i
\(246\) 6.88459 + 5.23353i 0.438945 + 0.333678i
\(247\) 1.15117 + 1.69785i 0.0732471 + 0.108031i
\(248\) 0.509969 0.0554625i 0.0323831 0.00352187i
\(249\) −4.77728 + 4.52528i −0.302748 + 0.286778i
\(250\) 2.16132 + 2.54450i 0.136694 + 0.160928i
\(251\) 4.85024 9.14852i 0.306144 0.577449i −0.681932 0.731416i \(-0.738860\pi\)
0.988076 + 0.153966i \(0.0492047\pi\)
\(252\) −0.108607 + 0.160184i −0.00684161 + 0.0100906i
\(253\) −3.13426 + 1.05606i −0.197049 + 0.0663937i
\(254\) −2.67052 9.61834i −0.167563 0.603508i
\(255\) −0.852996 + 5.20305i −0.0534167 + 0.325827i
\(256\) −0.370138 0.928977i −0.0231336 0.0580610i
\(257\) −4.86195 + 5.72393i −0.303280 + 0.357049i −0.892599 0.450852i \(-0.851120\pi\)
0.589319 + 0.807901i \(0.299396\pi\)
\(258\) −0.687431 12.6789i −0.0427976 0.789355i
\(259\) 0.106491 0.383546i 0.00661703 0.0238324i
\(260\) −6.96081 3.22041i −0.431691 0.199722i
\(261\) 2.21586 + 0.487748i 0.137158 + 0.0301908i
\(262\) 12.2940 2.70612i 0.759529 0.167185i
\(263\) 0.309875 0.143364i 0.0191077 0.00884017i −0.410312 0.911945i \(-0.634580\pi\)
0.429420 + 0.903105i \(0.358718\pi\)
\(264\) −0.271094 1.65360i −0.0166847 0.101772i
\(265\) −27.2918 + 16.4209i −1.67652 + 1.00873i
\(266\) −0.147141 + 0.0885319i −0.00902181 + 0.00542824i
\(267\) −0.341764 2.08467i −0.0209156 0.127580i
\(268\) 1.46544 0.677983i 0.0895158 0.0414144i
\(269\) 26.4676 5.82596i 1.61376 0.355215i 0.685768 0.727820i \(-0.259466\pi\)
0.927990 + 0.372605i \(0.121535\pi\)
\(270\) −3.24001 0.713181i −0.197181 0.0434028i
\(271\) 24.0303 + 11.1176i 1.45974 + 0.675347i 0.979436 0.201756i \(-0.0646649\pi\)
0.480302 + 0.877103i \(0.340527\pi\)
\(272\) 0.425173 1.53133i 0.0257799 0.0928508i
\(273\) −0.0242224 0.446755i −0.00146600 0.0270389i
\(274\) −12.7651 + 15.0282i −0.771167 + 0.907888i
\(275\) −3.72531 9.34981i −0.224644 0.563815i
\(276\) 0.319320 1.94777i 0.0192208 0.117242i
\(277\) −3.86433 13.9181i −0.232185 0.836255i −0.984193 0.177101i \(-0.943328\pi\)
0.752008 0.659155i \(-0.229086\pi\)
\(278\) −5.81932 + 1.96076i −0.349020 + 0.117598i
\(279\) −0.287876 + 0.424585i −0.0172347 + 0.0254192i
\(280\) 0.300744 0.567263i 0.0179729 0.0339004i
\(281\) −7.57012 8.91223i −0.451595 0.531659i 0.488503 0.872562i \(-0.337543\pi\)
−0.940098 + 0.340903i \(0.889267\pi\)
\(282\) −4.05164 + 3.83792i −0.241272 + 0.228545i
\(283\) −22.4150 + 2.43778i −1.33243 + 0.144911i −0.746466 0.665424i \(-0.768251\pi\)
−0.585968 + 0.810334i \(0.699285\pi\)
\(284\) −7.14982 10.5452i −0.424264 0.625742i
\(285\) −2.34347 1.78146i −0.138815 0.105525i
\(286\) 2.81242 + 2.66406i 0.166302 + 0.157529i
\(287\) 0.0906097 1.67120i 0.00534852 0.0986477i
\(288\) 0.947653 + 0.319302i 0.0558410 + 0.0188150i
\(289\) −11.5228 + 8.75944i −0.677814 + 0.515261i
\(290\) −7.48314 0.813841i −0.439425 0.0477904i
\(291\) −6.67793 12.5959i −0.391467 0.738385i
\(292\) 1.54629 3.88090i 0.0904900 0.227113i
\(293\) −14.1370 8.50598i −0.825895 0.496925i 0.0387849 0.999248i \(-0.487651\pi\)
−0.864680 + 0.502323i \(0.832479\pi\)
\(294\) −6.96255 −0.406064
\(295\) −23.4243 10.0337i −1.36381 0.584187i
\(296\) −2.05680 −0.119549
\(297\) 1.43581 + 0.863901i 0.0833144 + 0.0501286i
\(298\) 3.34600 8.39781i 0.193828 0.486472i
\(299\) 2.13736 + 4.03148i 0.123607 + 0.233147i
\(300\) 5.97111 + 0.649397i 0.344742 + 0.0374930i
\(301\) −1.95629 + 1.48714i −0.112759 + 0.0857171i
\(302\) 18.4636 + 6.22112i 1.06246 + 0.357985i
\(303\) 0.730925 13.4811i 0.0419905 0.774470i
\(304\) 0.644182 + 0.610202i 0.0369464 + 0.0349975i
\(305\) 8.70400 + 6.61661i 0.498390 + 0.378866i
\(306\) 0.891874 + 1.31542i 0.0509851 + 0.0751973i
\(307\) −0.479927 + 0.0521952i −0.0273909 + 0.00297894i −0.121804 0.992554i \(-0.538868\pi\)
0.0944133 + 0.995533i \(0.469902\pi\)
\(308\) −0.235437 + 0.223018i −0.0134153 + 0.0127076i
\(309\) −0.0825583 0.0971951i −0.00469658 0.00552924i
\(310\) 0.797156 1.50360i 0.0452754 0.0853985i
\(311\) −6.27064 + 9.24851i −0.355576 + 0.524435i −0.962843 0.270063i \(-0.912955\pi\)
0.607267 + 0.794498i \(0.292266\pi\)
\(312\) −2.19081 + 0.738171i −0.124030 + 0.0417907i
\(313\) 1.21795 + 4.38666i 0.0688426 + 0.247949i 0.989962 0.141330i \(-0.0451380\pi\)
−0.921120 + 0.389279i \(0.872724\pi\)
\(314\) −2.12025 + 12.9330i −0.119653 + 0.729849i
\(315\) 0.237649 + 0.596454i 0.0133900 + 0.0336064i
\(316\) −3.51456 + 4.13766i −0.197710 + 0.232762i
\(317\) 0.927720 + 17.1108i 0.0521059 + 0.961037i 0.901365 + 0.433061i \(0.142566\pi\)
−0.849259 + 0.527977i \(0.822951\pi\)
\(318\) −2.56846 + 9.25076i −0.144032 + 0.518757i
\(319\) 3.45056 + 1.59640i 0.193194 + 0.0893811i
\(320\) −3.24001 0.713181i −0.181122 0.0398680i
\(321\) 15.1780 3.34093i 0.847153 0.186473i
\(322\) −0.346681 + 0.160392i −0.0193198 + 0.00893828i
\(323\) 0.228140 + 1.39159i 0.0126940 + 0.0774302i
\(324\) −0.856857 + 0.515554i −0.0476032 + 0.0286419i
\(325\) −11.8980 + 7.15877i −0.659980 + 0.397097i
\(326\) −0.435403 2.65584i −0.0241148 0.147094i
\(327\) 14.7661 6.83152i 0.816566 0.377784i
\(328\) −8.44578 + 1.85906i −0.466340 + 0.102649i
\(329\) 1.05481 + 0.232181i 0.0581536 + 0.0128006i
\(330\) −5.04538 2.33424i −0.277739 0.128496i
\(331\) −1.16624 + 4.20040i −0.0641021 + 0.230875i −0.988661 0.150164i \(-0.952020\pi\)
0.924559 + 0.381039i \(0.124434\pi\)
\(332\) −0.356251 6.57066i −0.0195518 0.360612i
\(333\) 1.33154 1.56762i 0.0729682 0.0859048i
\(334\) 3.97130 + 9.96722i 0.217300 + 0.545382i
\(335\) 0.866633 5.28623i 0.0473492 0.288818i
\(336\) −0.0517751 0.186477i −0.00282456 0.0101732i
\(337\) −6.31582 + 2.12805i −0.344044 + 0.115922i −0.486019 0.873948i \(-0.661551\pi\)
0.141975 + 0.989870i \(0.454655\pi\)
\(338\) −4.29613 + 6.33632i −0.233679 + 0.344650i
\(339\) −2.21867 + 4.18485i −0.120502 + 0.227290i
\(340\) −3.41335 4.01850i −0.185115 0.217934i
\(341\) −0.624053 + 0.591134i −0.0337943 + 0.0320117i
\(342\) −0.882108 + 0.0959350i −0.0476989 + 0.00518757i
\(343\) 1.51643 + 2.23657i 0.0818797 + 0.120764i
\(344\) 10.1084 + 7.68422i 0.545010 + 0.414306i
\(345\) −4.75391 4.50314i −0.255942 0.242441i
\(346\) −0.120222 + 2.21737i −0.00646320 + 0.119207i
\(347\) −23.5163 7.92356i −1.26242 0.425359i −0.393049 0.919518i \(-0.628580\pi\)
−0.869372 + 0.494159i \(0.835476\pi\)
\(348\) −1.80626 + 1.37308i −0.0968257 + 0.0736050i
\(349\) 17.3938 + 1.89169i 0.931068 + 0.101260i 0.561066 0.827771i \(-0.310391\pi\)
0.370002 + 0.929031i \(0.379357\pi\)
\(350\) −0.544482 1.02700i −0.0291038 0.0548956i
\(351\) 0.855697 2.14764i 0.0456737 0.114632i
\(352\) 1.43581 + 0.863901i 0.0765292 + 0.0460461i
\(353\) −6.26180 −0.333282 −0.166641 0.986018i \(-0.553292\pi\)
−0.166641 + 0.986018i \(0.553292\pi\)
\(354\) −7.20590 + 2.65990i −0.382989 + 0.141372i
\(355\) −42.2677 −2.24334
\(356\) 1.81011 + 1.08911i 0.0959355 + 0.0577225i
\(357\) 0.113844 0.285727i 0.00602527 0.0151223i
\(358\) 4.40784 + 8.31408i 0.232962 + 0.439413i
\(359\) −9.60977 1.04513i −0.507184 0.0551596i −0.149050 0.988830i \(-0.547622\pi\)
−0.358134 + 0.933670i \(0.616587\pi\)
\(360\) 2.64110 2.00771i 0.139198 0.105816i
\(361\) 17.2593 + 5.81534i 0.908385 + 0.306070i
\(362\) −0.945963 + 17.4473i −0.0497187 + 0.917007i
\(363\) −5.94744 5.63371i −0.312159 0.295693i
\(364\) 0.356181 + 0.270762i 0.0186690 + 0.0141918i
\(365\) −7.77780 11.4714i −0.407109 0.600440i
\(366\) 3.27628 0.356317i 0.171254 0.0186250i
\(367\) 10.8375 10.2658i 0.565714 0.535872i −0.350500 0.936563i \(-0.613988\pi\)
0.916214 + 0.400690i \(0.131230\pi\)
\(368\) 1.27779 + 1.50433i 0.0666094 + 0.0784187i
\(369\) 4.05078 7.64059i 0.210875 0.397753i
\(370\) −3.82931 + 5.64781i −0.199076 + 0.293616i
\(371\) 1.76077 0.593274i 0.0914148 0.0308012i
\(372\) −0.137236 0.494279i −0.00711534 0.0256271i
\(373\) −1.77373 + 10.8192i −0.0918400 + 0.560199i 0.900320 + 0.435228i \(0.143332\pi\)
−0.992160 + 0.124972i \(0.960116\pi\)
\(374\) 0.985711 + 2.47395i 0.0509699 + 0.127925i
\(375\) 2.16132 2.54450i 0.111610 0.131398i
\(376\) −0.302139 5.57263i −0.0155816 0.287386i
\(377\) 1.40327 5.05413i 0.0722723 0.260301i
\(378\) 0.175644 + 0.0812616i 0.00903416 + 0.00417965i
\(379\) −23.3890 5.14832i −1.20141 0.264451i −0.431212 0.902251i \(-0.641914\pi\)
−0.770202 + 0.637799i \(0.779845\pi\)
\(380\) 2.87489 0.632812i 0.147479 0.0324626i
\(381\) −9.05959 + 4.19141i −0.464137 + 0.214733i
\(382\) 1.94377 + 11.8565i 0.0994518 + 0.606629i
\(383\) 26.0682 15.6847i 1.33202 0.801450i 0.341641 0.939830i \(-0.389017\pi\)
0.990379 + 0.138380i \(0.0441896\pi\)
\(384\) −0.856857 + 0.515554i −0.0437263 + 0.0263092i
\(385\) 0.174057 + 1.06170i 0.00887078 + 0.0541093i
\(386\) 12.0287 5.56505i 0.612243 0.283254i
\(387\) −12.4007 + 2.72960i −0.630362 + 0.138753i
\(388\) 13.9233 + 3.06476i 0.706850 + 0.155589i
\(389\) −28.1928 13.0434i −1.42943 0.661325i −0.455931 0.890015i \(-0.650694\pi\)
−0.973499 + 0.228690i \(0.926556\pi\)
\(390\) −2.05186 + 7.39012i −0.103900 + 0.374213i
\(391\) 0.169825 + 3.13224i 0.00858842 + 0.158404i
\(392\) 4.50746 5.30659i 0.227661 0.268023i
\(393\) −4.65943 11.6943i −0.235037 0.589899i
\(394\) 3.03796 18.5308i 0.153050 0.933566i
\(395\) 4.81835 + 17.3541i 0.242438 + 0.873181i
\(396\) −1.58796 + 0.535046i −0.0797979 + 0.0268871i
\(397\) 5.73216 8.45431i 0.287689 0.424310i −0.656193 0.754593i \(-0.727834\pi\)
0.943882 + 0.330284i \(0.107144\pi\)
\(398\) 8.42588 15.8929i 0.422351 0.796639i
\(399\) 0.111170 + 0.130880i 0.00556548 + 0.00655219i
\(400\) −4.36056 + 4.13054i −0.218028 + 0.206527i
\(401\) −32.3915 + 3.52279i −1.61755 + 0.175920i −0.871648 0.490132i \(-0.836949\pi\)
−0.745906 + 0.666052i \(0.767983\pi\)
\(402\) −0.906133 1.33645i −0.0451938 0.0666559i
\(403\) 0.944099 + 0.717685i 0.0470289 + 0.0357504i
\(404\) 9.80161 + 9.28457i 0.487648 + 0.461925i
\(405\) −0.179610 + 3.31271i −0.00892489 + 0.164610i
\(406\) 0.416118 + 0.140207i 0.0206516 + 0.00695834i
\(407\) 2.74376 2.08575i 0.136003 0.103387i
\(408\) −1.57995 0.171830i −0.0782190 0.00850683i
\(409\) −10.7643 20.3036i −0.532260 1.00395i −0.993189 0.116512i \(-0.962829\pi\)
0.460929 0.887437i \(-0.347516\pi\)
\(410\) −10.6194 + 26.6526i −0.524454 + 1.31628i
\(411\) 16.8954 + 10.1656i 0.833389 + 0.501433i
\(412\) 0.127526 0.00628273
\(413\) 1.20868 + 0.865383i 0.0594755 + 0.0425827i
\(414\) −1.97377 −0.0970054
\(415\) −18.7058 11.2549i −0.918231 0.552481i
\(416\) 0.855697 2.14764i 0.0419540 0.105297i
\(417\) 2.87639 + 5.42545i 0.140857 + 0.265685i
\(418\) −1.47813 0.160756i −0.0722975 0.00786283i
\(419\) −24.5388 + 18.6539i −1.19880 + 0.911304i −0.997668 0.0682604i \(-0.978255\pi\)
−0.201132 + 0.979564i \(0.564462\pi\)
\(420\) −0.608445 0.205009i −0.0296891 0.0100034i
\(421\) −0.158764 + 2.92824i −0.00773770 + 0.142714i 0.992112 + 0.125357i \(0.0400077\pi\)
−0.999849 + 0.0173563i \(0.994475\pi\)
\(422\) −2.54071 2.40669i −0.123680 0.117156i
\(423\) 4.44285 + 3.37736i 0.216019 + 0.164213i
\(424\) −5.38779 7.94640i −0.261654 0.385911i
\(425\) −9.48966 + 1.03206i −0.460316 + 0.0500624i
\(426\) −9.24957 + 8.76166i −0.448143 + 0.424504i
\(427\) −0.412904 0.486108i −0.0199818 0.0235244i
\(428\) −7.27970 + 13.7310i −0.351877 + 0.663711i
\(429\) 2.17397 3.20637i 0.104960 0.154805i
\(430\) 39.9199 13.4506i 1.92511 0.648645i
\(431\) 11.0308 + 39.7295i 0.531337 + 1.91370i 0.379089 + 0.925360i \(0.376237\pi\)
0.152248 + 0.988342i \(0.451349\pi\)
\(432\) 0.161782 0.986827i 0.00778374 0.0474787i
\(433\) −4.07748 10.2337i −0.195951 0.491800i 0.797865 0.602836i \(-0.205963\pi\)
−0.993816 + 0.111036i \(0.964583\pi\)
\(434\) −0.0642705 + 0.0756651i −0.00308508 + 0.00363204i
\(435\) 0.407518 + 7.51623i 0.0195390 + 0.360376i
\(436\) −4.35264 + 15.6768i −0.208453 + 0.750782i
\(437\) −1.58948 0.735370i −0.0760349 0.0351775i
\(438\) −4.07994 0.898063i −0.194947 0.0429111i
\(439\) −5.39153 + 1.18677i −0.257324 + 0.0566413i −0.341759 0.939788i \(-0.611023\pi\)
0.0844348 + 0.996429i \(0.473092\pi\)
\(440\) 5.04538 2.33424i 0.240529 0.111281i
\(441\) 1.12641 + 6.87082i 0.0536388 + 0.327182i
\(442\) 3.14819 1.89420i 0.149744 0.0900979i
\(443\) −25.6729 + 15.4469i −1.21976 + 0.733902i −0.972014 0.234924i \(-0.924516\pi\)
−0.247741 + 0.968826i \(0.579688\pi\)
\(444\) 0.332753 + 2.02971i 0.0157918 + 0.0963256i
\(445\) 6.36063 2.94274i 0.301523 0.139499i
\(446\) −7.68366 + 1.69130i −0.363832 + 0.0800854i
\(447\) −8.82851 1.94330i −0.417574 0.0919150i
\(448\) 0.175644 + 0.0812616i 0.00829841 + 0.00383925i
\(449\) 7.92537 28.5446i 0.374021 1.34710i −0.502016 0.864858i \(-0.667408\pi\)
0.876037 0.482244i \(-0.160178\pi\)
\(450\) −0.325175 5.99751i −0.0153289 0.282725i
\(451\) 9.38140 11.0446i 0.441753 0.520071i
\(452\) −1.75320 4.40020i −0.0824636 0.206968i
\(453\) 3.15208 19.2269i 0.148098 0.903357i
\(454\) 1.45624 + 5.24491i 0.0683448 + 0.246156i
\(455\) 1.40662 0.473946i 0.0659435 0.0222189i
\(456\) 0.497946 0.734416i 0.0233185 0.0343922i
\(457\) 19.6163 37.0002i 0.917611 1.73080i 0.280824 0.959759i \(-0.409392\pi\)
0.636788 0.771039i \(-0.280263\pi\)
\(458\) −5.97341 7.03245i −0.279119 0.328605i
\(459\) 1.15380 1.09294i 0.0538547 0.0510139i
\(460\) 6.50974 0.707977i 0.303518 0.0330096i
\(461\) 11.5933 + 17.0989i 0.539954 + 0.796373i 0.995592 0.0937924i \(-0.0298990\pi\)
−0.455637 + 0.890165i \(0.650589\pi\)
\(462\) 0.258169 + 0.196255i 0.0120111 + 0.00913062i
\(463\) −15.8820 15.0442i −0.738100 0.699165i 0.223168 0.974780i \(-0.428360\pi\)
−0.961268 + 0.275615i \(0.911119\pi\)
\(464\) 0.122836 2.26558i 0.00570252 0.105177i
\(465\) −1.61275 0.543400i −0.0747896 0.0251996i
\(466\) 8.49887 6.46067i 0.393703 0.299285i
\(467\) 5.56823 + 0.605581i 0.257667 + 0.0280230i 0.236041 0.971743i \(-0.424150\pi\)
0.0216262 + 0.999766i \(0.493116\pi\)
\(468\) 1.08288 + 2.04253i 0.0500562 + 0.0944160i
\(469\) −0.115664 + 0.290295i −0.00534088 + 0.0134046i
\(470\) −15.8645 9.54536i −0.731775 0.440295i
\(471\) 13.1056 0.603874
\(472\) 2.63773 7.21404i 0.121411 0.332053i
\(473\) −21.2769 −0.978315
\(474\) 4.65175 + 2.79886i 0.213662 + 0.128556i
\(475\) 1.97264 4.95094i 0.0905108 0.227165i
\(476\) 0.144069 + 0.271744i 0.00660341 + 0.0124553i
\(477\) 9.54442 + 1.03802i 0.437009 + 0.0475276i
\(478\) 10.2809 7.81532i 0.470236 0.357464i
\(479\) 39.0155 + 13.1458i 1.78266 + 0.600649i 0.999769 0.0215055i \(-0.00684595\pi\)
0.782894 + 0.622155i \(0.213742\pi\)
\(480\) −0.179610 + 3.31271i −0.00819804 + 0.151204i
\(481\) −3.45209 3.26999i −0.157402 0.149099i
\(482\) 24.5981 + 18.6990i 1.12041 + 0.851717i
\(483\) 0.214365 + 0.316165i 0.00975397 + 0.0143860i
\(484\) 8.14409 0.885723i 0.370186 0.0402601i
\(485\) 34.3378 32.5265i 1.55920 1.47695i
\(486\) 0.647386 + 0.762162i 0.0293660 + 0.0345724i
\(487\) 14.7501 27.8217i 0.668391 1.26072i −0.284868 0.958567i \(-0.591950\pi\)
0.953259 0.302153i \(-0.0977053\pi\)
\(488\) −1.84945 + 2.72773i −0.0837205 + 0.123479i
\(489\) −2.55042 + 0.859335i −0.115334 + 0.0388605i
\(490\) −6.17958 22.2568i −0.279165 1.00546i
\(491\) −4.57746 + 27.9212i −0.206578 + 1.26007i 0.656240 + 0.754552i \(0.272146\pi\)
−0.862817 + 0.505516i \(0.831302\pi\)
\(492\) 3.20094 + 8.03376i 0.144310 + 0.362190i
\(493\) 2.33440 2.74827i 0.105136 0.123776i
\(494\) 0.111056 + 2.04830i 0.00499663 + 0.0921574i
\(495\) −1.48724 + 5.35655i −0.0668464 + 0.240759i
\(496\) 0.465565 + 0.215393i 0.0209045 + 0.00967144i
\(497\) 2.40804 + 0.530051i 0.108016 + 0.0237760i
\(498\) −6.42647 + 1.41457i −0.287977 + 0.0633885i
\(499\) −17.6847 + 8.18179i −0.791674 + 0.366267i −0.773685 0.633571i \(-0.781589\pi\)
−0.0179893 + 0.999838i \(0.505726\pi\)
\(500\) 0.540114 + 3.29455i 0.0241547 + 0.147337i
\(501\) 9.19343 5.53150i 0.410732 0.247129i
\(502\) 8.87252 5.33842i 0.396000 0.238265i
\(503\) 4.54484 + 27.7223i 0.202644 + 1.23608i 0.870644 + 0.491914i \(0.163702\pi\)
−0.668000 + 0.744162i \(0.732849\pi\)
\(504\) −0.175644 + 0.0812616i −0.00782381 + 0.00361968i
\(505\) 43.7432 9.62860i 1.94655 0.428467i
\(506\) −3.23007 0.710992i −0.143594 0.0316075i
\(507\) 6.94789 + 3.21443i 0.308567 + 0.142758i
\(508\) 2.67052 9.61834i 0.118485 0.426745i
\(509\) −0.285765 5.27062i −0.0126663 0.233616i −0.998011 0.0630408i \(-0.979920\pi\)
0.985345 0.170575i \(-0.0545626\pi\)
\(510\) −3.41335 + 4.01850i −0.151146 + 0.177942i
\(511\) 0.299256 + 0.751076i 0.0132383 + 0.0332256i
\(512\) 0.161782 0.986827i 0.00714982 0.0436120i
\(513\) 0.237380 + 0.854967i 0.0104806 + 0.0377477i
\(514\) −7.11699 + 2.39799i −0.313917 + 0.105771i
\(515\) 0.237425 0.350175i 0.0104622 0.0154306i
\(516\) 5.94763 11.2184i 0.261830 0.493864i
\(517\) 6.05412 + 7.12746i 0.266260 + 0.313465i
\(518\) 0.288986 0.273742i 0.0126973 0.0120275i
\(519\) 2.20761 0.240092i 0.0969034 0.0105389i
\(520\) −4.30412 6.34811i −0.188748 0.278383i
\(521\) 25.8207 + 19.6284i 1.13123 + 0.859936i 0.991481 0.130252i \(-0.0415786\pi\)
0.139745 + 0.990188i \(0.455372\pi\)
\(522\) 1.64722 + 1.56033i 0.0720967 + 0.0682936i
\(523\) 1.15148 21.2379i 0.0503509 0.928668i −0.858829 0.512263i \(-0.828807\pi\)
0.909179 0.416405i \(-0.136710\pi\)
\(524\) 11.9294 + 4.01948i 0.521138 + 0.175592i
\(525\) −0.925386 + 0.703460i −0.0403872 + 0.0307015i
\(526\) 0.339430 + 0.0369153i 0.0147999 + 0.00160958i
\(527\) 0.381872 + 0.720288i 0.0166346 + 0.0313762i
\(528\) 0.620231 1.55666i 0.0269921 0.0677451i
\(529\) 16.3696 + 9.84926i 0.711722 + 0.428229i
\(530\) −31.8511 −1.38352
\(531\) 3.79064 + 6.68065i 0.164500 + 0.289915i
\(532\) −0.171722 −0.00744509
\(533\) −17.1308 10.3073i −0.742019 0.446458i
\(534\) 0.781916 1.96246i 0.0338368 0.0849240i
\(535\) 24.1510 + 45.5535i 1.04414 + 1.96945i
\(536\) 1.60521 + 0.174577i 0.0693343 + 0.00754056i
\(537\) 7.49144 5.69485i 0.323280 0.245751i
\(538\) 25.6826 + 8.65346i 1.10725 + 0.373077i
\(539\) −0.631637 + 11.6499i −0.0272065 + 0.501795i
\(540\) −2.40855 2.28150i −0.103647 0.0981799i
\(541\) 7.13382 + 5.42299i 0.306707 + 0.233152i 0.747193 0.664607i \(-0.231401\pi\)
−0.440487 + 0.897759i \(0.645194\pi\)
\(542\) 14.8588 + 21.9151i 0.638241 + 0.941335i
\(543\) 17.3705 1.88915i 0.745437 0.0810712i
\(544\) 1.15380 1.09294i 0.0494687 0.0468592i
\(545\) 34.9436 + 41.1387i 1.49682 + 1.76219i
\(546\) 0.209571 0.395293i 0.00896882 0.0169170i
\(547\) −7.48882 + 11.0452i −0.320199 + 0.472258i −0.953391 0.301736i \(-0.902434\pi\)
0.633192 + 0.773994i \(0.281744\pi\)
\(548\) −18.6857 + 6.29595i −0.798214 + 0.268950i
\(549\) −0.881666 3.17547i −0.0376286 0.135526i
\(550\) 1.62828 9.93205i 0.0694300 0.423504i
\(551\) 0.745170 + 1.87024i 0.0317453 + 0.0796747i
\(552\) 1.27779 1.50433i 0.0543864 0.0640286i
\(553\) −0.0568811 1.04911i −0.00241883 0.0446127i
\(554\) 3.86433 13.9181i 0.164180 0.591322i
\(555\) 6.19293 + 2.86515i 0.262875 + 0.121619i
\(556\) −5.99721 1.32008i −0.254338 0.0559841i
\(557\) −21.8791 + 4.81595i −0.927046 + 0.204058i −0.652738 0.757584i \(-0.726380\pi\)
−0.274308 + 0.961642i \(0.588449\pi\)
\(558\) −0.465565 + 0.215393i −0.0197089 + 0.00911832i
\(559\) 4.74904 + 28.9679i 0.200863 + 1.22521i
\(560\) 0.550149 0.331014i 0.0232480 0.0139879i
\(561\) 2.28189 1.37297i 0.0963414 0.0579667i
\(562\) −1.89177 11.5393i −0.0797997 0.486756i
\(563\) −8.22984 + 3.80753i −0.346846 + 0.160468i −0.585575 0.810618i \(-0.699131\pi\)
0.238729 + 0.971086i \(0.423269\pi\)
\(564\) −5.45034 + 1.19971i −0.229501 + 0.0505169i
\(565\) −15.3467 3.37806i −0.645640 0.142116i
\(566\) −20.4633 9.46731i −0.860135 0.397941i
\(567\) 0.0517751 0.186477i 0.00217435 0.00783130i
\(568\) −0.689759 12.7218i −0.0289416 0.533797i
\(569\) 23.0527 27.1397i 0.966417 1.13775i −0.0240088 0.999712i \(-0.507643\pi\)
0.990426 0.138043i \(-0.0440812\pi\)
\(570\) −1.08958 2.73464i −0.0456376 0.114542i
\(571\) −5.42915 + 33.1164i −0.227203 + 1.38588i 0.589010 + 0.808126i \(0.299518\pi\)
−0.816213 + 0.577751i \(0.803930\pi\)
\(572\) 1.03637 + 3.73267i 0.0433329 + 0.156071i
\(573\) 11.3858 3.83632i 0.475648 0.160265i
\(574\) 0.939232 1.38526i 0.0392028 0.0578198i
\(575\) 5.55302 10.4741i 0.231577 0.436800i
\(576\) 0.647386 + 0.762162i 0.0269744 + 0.0317568i
\(577\) 14.6880 13.9132i 0.611471 0.579216i −0.318010 0.948087i \(-0.603014\pi\)
0.929480 + 0.368872i \(0.120256\pi\)
\(578\) −14.3894 + 1.56494i −0.598520 + 0.0650930i
\(579\) −7.43776 10.9699i −0.309103 0.455893i
\(580\) −5.99241 4.55531i −0.248821 0.189149i
\(581\) 0.924552 + 0.875782i 0.0383569 + 0.0363336i
\(582\) 0.771839 14.2357i 0.0319937 0.590090i
\(583\) 15.2455 + 5.13681i 0.631405 + 0.212745i
\(584\) 3.32577 2.52818i 0.137621 0.104617i
\(585\) 7.62472 + 0.829238i 0.315243 + 0.0342848i
\(586\) −7.72814 14.5768i −0.319247 0.602163i
\(587\) −9.92066 + 24.8990i −0.409469 + 1.02769i 0.569191 + 0.822206i \(0.307257\pi\)
−0.978660 + 0.205485i \(0.934123\pi\)
\(588\) −5.96591 3.58957i −0.246030 0.148031i
\(589\) −0.455169 −0.0187549
\(590\) −14.8983 20.6740i −0.613354 0.851133i
\(591\) −18.7781 −0.772429
\(592\) −1.76238 1.06039i −0.0724336 0.0435818i
\(593\) −10.1576 + 25.4937i −0.417123 + 1.04690i 0.558900 + 0.829235i \(0.311224\pi\)
−0.976023 + 0.217666i \(0.930156\pi\)
\(594\) 0.784900 + 1.48048i 0.0322049 + 0.0607448i
\(595\) 1.01441 + 0.110324i 0.0415869 + 0.00452284i
\(596\) 7.19657 5.47069i 0.294783 0.224088i
\(597\) −17.0467 5.74370i −0.697674 0.235074i
\(598\) −0.247037 + 4.55633i −0.0101021 + 0.186322i
\(599\) 17.0060 + 16.1089i 0.694846 + 0.658193i 0.951266 0.308373i \(-0.0997843\pi\)
−0.256420 + 0.966565i \(0.582543\pi\)
\(600\) 4.78159 + 3.63487i 0.195207 + 0.148393i
\(601\) −0.347044 0.511852i −0.0141562 0.0208789i 0.820545 0.571582i \(-0.193670\pi\)
−0.834701 + 0.550703i \(0.814360\pi\)
\(602\) −2.44296 + 0.265688i −0.0995678 + 0.0108287i
\(603\) −1.17224 + 1.11041i −0.0477375 + 0.0452193i
\(604\) 12.6134 + 14.8496i 0.513231 + 0.604222i
\(605\) 12.7304 24.0121i 0.517564 0.976229i
\(606\) 7.57654 11.1746i 0.307776 0.453936i
\(607\) −12.1227 + 4.08463i −0.492047 + 0.165790i −0.554377 0.832266i \(-0.687043\pi\)
0.0623302 + 0.998056i \(0.480147\pi\)
\(608\) 0.237380 + 0.854967i 0.00962704 + 0.0346735i
\(609\) 0.0710391 0.433320i 0.00287865 0.0175590i
\(610\) 4.04687 + 10.1569i 0.163853 + 0.411240i
\(611\) 8.35251 9.83333i 0.337906 0.397814i
\(612\) 0.0860410 + 1.58693i 0.00347800 + 0.0641480i
\(613\) −1.87312 + 6.74638i −0.0756547 + 0.272484i −0.991697 0.128599i \(-0.958952\pi\)
0.916042 + 0.401082i \(0.131366\pi\)
\(614\) −0.438138 0.202704i −0.0176818 0.00818048i
\(615\) 28.0195 + 6.16757i 1.12986 + 0.248700i
\(616\) −0.316714 + 0.0697139i −0.0127608 + 0.00280885i
\(617\) −3.66001 + 1.69330i −0.147346 + 0.0681697i −0.492177 0.870495i \(-0.663799\pi\)
0.344830 + 0.938665i \(0.387936\pi\)
\(618\) −0.0206313 0.125846i −0.000829914 0.00506225i
\(619\) −17.0788 + 10.2760i −0.686454 + 0.413026i −0.815613 0.578598i \(-0.803600\pi\)
0.129159 + 0.991624i \(0.458772\pi\)
\(620\) 1.45823 0.877390i 0.0585640 0.0352368i
\(621\) 0.319320 + 1.94777i 0.0128139 + 0.0781612i
\(622\) −10.1412 + 4.69180i −0.406623 + 0.188124i
\(623\) −0.399276 + 0.0878872i −0.0159966 + 0.00352113i
\(624\) −2.25778 0.496975i −0.0903836 0.0198949i
\(625\) −17.2038 7.95931i −0.688151 0.318372i
\(626\) −1.21795 + 4.38666i −0.0486790 + 0.175326i
\(627\) 0.0804960 + 1.48466i 0.00321470 + 0.0592917i
\(628\) −8.48439 + 9.98859i −0.338564 + 0.398588i
\(629\) −1.20991 3.03664i −0.0482422 0.121079i
\(630\) −0.103873 + 0.633597i −0.00413839 + 0.0252431i
\(631\) −7.73926 27.8743i −0.308095 1.10966i −0.941825 0.336104i \(-0.890891\pi\)
0.633730 0.773554i \(-0.281523\pi\)
\(632\) −5.14467 + 1.73344i −0.204644 + 0.0689525i
\(633\) −1.96394 + 2.89660i −0.0780597 + 0.115129i
\(634\) −8.02661 + 15.1398i −0.318777 + 0.601278i
\(635\) −21.4393 25.2403i −0.850792 1.00163i
\(636\) −6.97007 + 6.60240i −0.276381 + 0.261802i
\(637\) 16.0019 1.74031i 0.634017 0.0689535i
\(638\) 2.13360 + 3.14683i 0.0844702 + 0.124584i
\(639\) 10.1427 + 7.71024i 0.401237 + 0.305012i
\(640\) −2.40855 2.28150i −0.0952061 0.0901840i
\(641\) 0.610870 11.2668i 0.0241279 0.445013i −0.961363 0.275284i \(-0.911228\pi\)
0.985491 0.169729i \(-0.0542892\pi\)
\(642\) 14.7278 + 4.96238i 0.581260 + 0.195849i
\(643\) −26.2130 + 19.9266i −1.03374 + 0.785829i −0.977146 0.212568i \(-0.931817\pi\)
−0.0565944 + 0.998397i \(0.518024\pi\)
\(644\) −0.379747 0.0412999i −0.0149641 0.00162745i
\(645\) −19.7317 37.2180i −0.776936 1.46546i
\(646\) −0.521957 + 1.31001i −0.0205361 + 0.0515418i
\(647\) 30.5373 + 18.3737i 1.20055 + 0.722344i 0.968173 0.250282i \(-0.0805235\pi\)
0.232373 + 0.972627i \(0.425351\pi\)
\(648\) −1.00000 −0.0392837
\(649\) 3.79687 + 12.2983i 0.149040 + 0.482752i
\(650\) −13.8856 −0.544638
\(651\) 0.0850662 + 0.0511826i 0.00333401 + 0.00200601i
\(652\) 0.996152 2.50015i 0.0390123 0.0979135i
\(653\) −4.24984 8.01604i −0.166309 0.313692i 0.786324 0.617814i \(-0.211982\pi\)
−0.952633 + 0.304122i \(0.901637\pi\)
\(654\) 16.1744 + 1.75908i 0.632471 + 0.0687853i
\(655\) 33.2471 25.2738i 1.29907 0.987529i
\(656\) −8.19528 2.76131i −0.319972 0.107811i
\(657\) −0.226171 + 4.17148i −0.00882378 + 0.162745i
\(658\) 0.784120 + 0.742757i 0.0305682 + 0.0289557i
\(659\) −3.34970 2.54638i −0.130486 0.0991928i 0.537896 0.843012i \(-0.319219\pi\)
−0.668381 + 0.743819i \(0.733013\pi\)
\(660\) −3.11974 4.60127i −0.121436 0.179104i
\(661\) 32.0074 3.48101i 1.24494 0.135396i 0.538170 0.842836i \(-0.319116\pi\)
0.706773 + 0.707441i \(0.250150\pi\)
\(662\) −3.16483 + 2.99789i −0.123005 + 0.116516i
\(663\) −2.37857 2.80027i −0.0923759 0.108753i
\(664\) 3.08227 5.81378i 0.119615 0.225619i
\(665\) −0.319709 + 0.471535i −0.0123978 + 0.0182854i
\(666\) 1.94913 0.656740i 0.0755274 0.0254481i
\(667\) 1.19807 + 4.31506i 0.0463895 + 0.167080i
\(668\) −1.73580 + 10.5879i −0.0671601 + 0.409658i
\(669\) 2.91210 + 7.30882i 0.112588 + 0.282575i
\(670\) 3.46792 4.08275i 0.133977 0.157730i
\(671\) −0.298974 5.51425i −0.0115418 0.212875i
\(672\) 0.0517751 0.186477i 0.00199727 0.00719351i
\(673\) −32.3289 14.9570i −1.24619 0.576548i −0.317800 0.948158i \(-0.602944\pi\)
−0.928389 + 0.371610i \(0.878806\pi\)
\(674\) −6.50888 1.43271i −0.250713 0.0551860i
\(675\) −5.86589 + 1.29118i −0.225778 + 0.0496976i
\(676\) −6.94789 + 3.21443i −0.267226 + 0.123632i
\(677\) −5.23336 31.9221i −0.201134 1.22686i −0.873566 0.486706i \(-0.838198\pi\)
0.672432 0.740159i \(-0.265250\pi\)
\(678\) −4.05860 + 2.44198i −0.155870 + 0.0937836i
\(679\) −2.36416 + 1.42247i −0.0907280 + 0.0545893i
\(680\) −0.852996 5.20305i −0.0327109 0.199528i
\(681\) 4.94022 2.28559i 0.189310 0.0875839i
\(682\) −0.839485 + 0.184785i −0.0321456 + 0.00707577i
\(683\) −49.9652 10.9982i −1.91186 0.420833i −0.999945 0.0104610i \(-0.996670\pi\)
−0.911918 0.410372i \(-0.865399\pi\)
\(684\) −0.805300 0.372571i −0.0307914 0.0142456i
\(685\) −17.5005 + 63.0312i −0.668660 + 2.40830i
\(686\) 0.146294 + 2.69823i 0.00558551 + 0.103019i
\(687\) −5.97341 + 7.03245i −0.227900 + 0.268305i
\(688\) 4.69984 + 11.7957i 0.179180 + 0.449707i
\(689\) 3.59078 21.9028i 0.136798 0.834431i
\(690\) −1.75181 6.30945i −0.0666903 0.240197i
\(691\) −42.0792 + 14.1781i −1.60077 + 0.539362i −0.971340 0.237696i \(-0.923608\pi\)
−0.629429 + 0.777058i \(0.716711\pi\)
\(692\) −1.24619 + 1.83799i −0.0473730 + 0.0698699i
\(693\) 0.151903 0.286519i 0.00577031 0.0108840i
\(694\) −16.0651 18.9133i −0.609822 0.717938i
\(695\) −14.7903 + 14.0101i −0.561029 + 0.531435i
\(696\) −2.25561 + 0.245312i −0.0854985 + 0.00929852i
\(697\) −7.71290 11.3757i −0.292147 0.430884i
\(698\) 13.9287 + 10.5883i 0.527210 + 0.400775i
\(699\) −7.75053 7.34169i −0.293152 0.277688i
\(700\) 0.0629316 1.16070i 0.00237859 0.0438705i
\(701\) 29.4264 + 9.91490i 1.11142 + 0.374481i 0.814349 0.580375i \(-0.197094\pi\)
0.297070 + 0.954856i \(0.403991\pi\)
\(702\) 1.84043 1.39906i 0.0694627 0.0528041i
\(703\) 1.81432 + 0.197319i 0.0684284 + 0.00744203i
\(704\) 0.784900 + 1.48048i 0.0295820 + 0.0557977i
\(705\) −6.85302 + 17.1998i −0.258100 + 0.647782i
\(706\) −5.36547 3.22829i −0.201932 0.121498i
\(707\) −2.61285 −0.0982663
\(708\) −7.54574 1.43588i −0.283586 0.0539636i
\(709\) 20.6296 0.774762 0.387381 0.921920i \(-0.373380\pi\)
0.387381 + 0.921920i \(0.373380\pi\)
\(710\) −36.2174 21.7913i −1.35921 0.817812i
\(711\) 2.00942 5.04327i 0.0753593 0.189138i
\(712\) 0.989511 + 1.86642i 0.0370835 + 0.0699469i
\(713\) −1.00656 0.109470i −0.0376960 0.00409969i
\(714\) 0.244856 0.186135i 0.00916351 0.00696592i
\(715\) 12.1791 + 4.10363i 0.455474 + 0.153467i
\(716\) −0.509461 + 9.39646i −0.0190395 + 0.351162i
\(717\) −9.37562 8.88106i −0.350139 0.331669i
\(718\) −7.69538 5.84988i −0.287189 0.218316i
\(719\) −15.4804 22.8319i −0.577322 0.851486i 0.421136 0.906998i \(-0.361632\pi\)
−0.998458 + 0.0555111i \(0.982321\pi\)
\(720\) 3.29813 0.358693i 0.122914 0.0133677i
\(721\) −0.0179177 + 0.0169725i −0.000667290 + 0.000632091i
\(722\) 11.7906 + 13.8810i 0.438802 + 0.516598i
\(723\) 14.4732 27.2993i 0.538262 1.01527i
\(724\) −9.80555 + 14.4621i −0.364421 + 0.537480i
\(725\) −12.9144 + 4.35137i −0.479629 + 0.161606i
\(726\) −2.19162 7.89351i −0.0813387 0.292956i
\(727\) −0.317869 + 1.93891i −0.0117891 + 0.0719103i −0.992066 0.125719i \(-0.959876\pi\)
0.980277 + 0.197630i \(0.0633244\pi\)
\(728\) 0.165604 + 0.415635i 0.00613769 + 0.0154044i
\(729\) 0.647386 0.762162i 0.0239773 0.0282282i
\(730\) −0.750341 13.8392i −0.0277714 0.512213i
\(731\) −5.39865 + 19.4442i −0.199676 + 0.719169i
\(732\) 2.99100 + 1.38379i 0.110551 + 0.0511462i
\(733\) −12.7486 2.80618i −0.470881 0.103649i −0.0268103 0.999641i \(-0.508535\pi\)
−0.444071 + 0.895992i \(0.646466\pi\)
\(734\) 14.5788 3.20903i 0.538113 0.118448i
\(735\) −20.9639 + 9.69893i −0.773265 + 0.357750i
\(736\) 0.319320 + 1.94777i 0.0117703 + 0.0717956i
\(737\) −2.31837 + 1.39492i −0.0853982 + 0.0513824i
\(738\) 7.41007 4.45849i 0.272769 0.164119i
\(739\) 0.00545696 + 0.0332860i 0.000200738 + 0.00122445i 0.986927 0.161170i \(-0.0515267\pi\)
−0.986726 + 0.162394i \(0.948078\pi\)
\(740\) −6.19293 + 2.86515i −0.227657 + 0.105325i
\(741\) 2.00335 0.440971i 0.0735949 0.0161995i
\(742\) 1.81460 + 0.399423i 0.0666159 + 0.0146633i
\(743\) −16.0236 7.41330i −0.587848 0.271968i 0.103335 0.994647i \(-0.467048\pi\)
−0.691184 + 0.722679i \(0.742911\pi\)
\(744\) 0.137236 0.494279i 0.00503131 0.0181211i
\(745\) −1.62365 29.9464i −0.0594859 1.09715i
\(746\) −7.09774 + 8.35610i −0.259867 + 0.305939i
\(747\) 2.43562 + 6.11296i 0.0891148 + 0.223661i
\(748\) −0.430840 + 2.62801i −0.0157531 + 0.0960895i
\(749\) −0.804654 2.89810i −0.0294014 0.105894i
\(750\) 3.16377 1.06600i 0.115525 0.0389248i
\(751\) −9.09856 + 13.4194i −0.332011 + 0.489680i −0.956652 0.291232i \(-0.905935\pi\)
0.624641 + 0.780912i \(0.285245\pi\)
\(752\) 2.61410 4.93071i 0.0953264 0.179805i
\(753\) −6.70350 7.89197i −0.244289 0.287600i
\(754\) 3.80808 3.60721i 0.138682 0.131367i
\(755\) 64.2592 6.98861i 2.33863 0.254342i
\(756\) 0.108607 + 0.160184i 0.00395001 + 0.00582582i
\(757\) −17.0035 12.9257i −0.618003 0.469794i 0.248725 0.968574i \(-0.419988\pi\)
−0.866729 + 0.498780i \(0.833782\pi\)
\(758\) −17.3868 16.4697i −0.631518 0.598206i
\(759\) −0.179059 + 3.30254i −0.00649942 + 0.119875i