Properties

Label 168.2.v.a.11.4
Level $168$
Weight $2$
Character 168.11
Analytic conductor $1.341$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 168 = 2^{3} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 168.v (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.34148675396\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 11.4
Character \(\chi\) \(=\) 168.11
Dual form 168.2.v.a.107.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.32990 - 0.481016i) q^{2} +(1.28463 + 1.16178i) q^{3} +(1.53725 + 1.27940i) q^{4} +(-0.646402 - 1.11960i) q^{5} +(-1.14959 - 2.16297i) q^{6} +(2.42742 - 1.05244i) q^{7} +(-1.42896 - 2.44091i) q^{8} +(0.300539 + 2.98491i) q^{9} +O(q^{10})\) \(q+(-1.32990 - 0.481016i) q^{2} +(1.28463 + 1.16178i) q^{3} +(1.53725 + 1.27940i) q^{4} +(-0.646402 - 1.11960i) q^{5} +(-1.14959 - 2.16297i) q^{6} +(2.42742 - 1.05244i) q^{7} +(-1.42896 - 2.44091i) q^{8} +(0.300539 + 2.98491i) q^{9} +(0.321101 + 1.79988i) q^{10} +(1.60004 + 0.923782i) q^{11} +(0.488406 + 3.42950i) q^{12} +2.25432i q^{13} +(-3.73446 + 0.232013i) q^{14} +(0.470342 - 2.18925i) q^{15} +(0.726254 + 3.93352i) q^{16} +(3.89580 + 2.24924i) q^{17} +(1.03610 - 4.11418i) q^{18} +(-2.80851 - 4.86448i) q^{19} +(0.438742 - 2.54811i) q^{20} +(4.34104 + 1.46812i) q^{21} +(-1.68353 - 1.99818i) q^{22} +(0.519880 + 0.900459i) q^{23} +(1.00011 - 4.79581i) q^{24} +(1.66433 - 2.88270i) q^{25} +(1.08436 - 2.99801i) q^{26} +(-3.08172 + 4.18366i) q^{27} +(5.07804 + 1.48778i) q^{28} -1.32085 q^{29} +(-1.67857 + 2.68523i) q^{30} +(-3.69700 - 2.13446i) q^{31} +(0.926243 - 5.58051i) q^{32} +(0.982223 + 3.04561i) q^{33} +(-4.09909 - 4.86521i) q^{34} +(-2.74740 - 2.03744i) q^{35} +(-3.35690 + 4.97305i) q^{36} +(-8.18394 + 4.72500i) q^{37} +(1.39513 + 7.82020i) q^{38} +(-2.61902 + 2.89596i) q^{39} +(-1.80916 + 3.17768i) q^{40} -1.39634i q^{41} +(-5.06694 - 4.04056i) q^{42} -6.02578 q^{43} +(1.27776 + 3.46717i) q^{44} +(3.14763 - 2.26593i) q^{45} +(-0.258251 - 1.44759i) q^{46} +(-5.90249 - 10.2234i) q^{47} +(-3.63691 + 5.89685i) q^{48} +(4.78472 - 5.10944i) q^{49} +(-3.60001 + 3.03313i) q^{50} +(2.39154 + 7.41551i) q^{51} +(-2.88418 + 3.46544i) q^{52} +(-6.02901 + 10.4425i) q^{53} +(6.11078 - 4.08147i) q^{54} -2.38854i q^{55} +(-6.03762 - 4.42122i) q^{56} +(2.04356 - 9.51192i) q^{57} +(1.75660 + 0.635353i) q^{58} +(-9.57732 - 5.52947i) q^{59} +(3.52396 - 2.76365i) q^{60} +(7.65220 - 4.41800i) q^{61} +(3.88991 + 4.61693i) q^{62} +(3.87098 + 6.92932i) q^{63} +(-3.91612 + 6.97596i) q^{64} +(2.52393 - 1.45719i) q^{65} +(0.158732 - 4.52281i) q^{66} +(3.05545 - 5.29219i) q^{67} +(3.11112 + 8.44195i) q^{68} +(-0.378281 + 1.76074i) q^{69} +(2.67372 + 4.03113i) q^{70} +14.0121 q^{71} +(6.85644 - 4.99892i) q^{72} +(-4.38664 + 7.59788i) q^{73} +(13.1566 - 2.34715i) q^{74} +(5.48711 - 1.76962i) q^{75} +(1.90626 - 11.0711i) q^{76} +(4.85619 + 0.558456i) q^{77} +(4.87602 - 2.59153i) q^{78} +(2.37061 - 1.36867i) q^{79} +(3.93451 - 3.35575i) q^{80} +(-8.81935 + 1.79416i) q^{81} +(-0.671663 + 1.85699i) q^{82} -4.74366i q^{83} +(4.79492 + 7.81081i) q^{84} -5.81566i q^{85} +(8.01366 + 2.89850i) q^{86} +(-1.69681 - 1.53454i) q^{87} +(-0.0315236 - 5.22561i) q^{88} +(-8.31219 + 4.79904i) q^{89} +(-5.27598 + 1.49939i) q^{90} +(2.37254 + 5.47217i) q^{91} +(-0.352866 + 2.04936i) q^{92} +(-2.26949 - 7.03709i) q^{93} +(2.93207 + 16.4353i) q^{94} +(-3.63085 + 6.28882i) q^{95} +(7.67320 - 6.09279i) q^{96} -8.73466 q^{97} +(-8.82091 + 4.49350i) q^{98} +(-2.27653 + 5.05360i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q - 2 q^{3} - 2 q^{4} - 8 q^{6} - 2 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 56 q - 2 q^{3} - 2 q^{4} - 8 q^{6} - 2 q^{9} + 6 q^{10} + 10 q^{12} - 10 q^{16} - 10 q^{18} - 4 q^{19} - 20 q^{22} - 8 q^{24} - 16 q^{25} - 8 q^{27} - 22 q^{28} - 12 q^{30} - 14 q^{33} - 56 q^{34} + 4 q^{36} + 14 q^{40} - 8 q^{42} - 16 q^{43} - 12 q^{46} + 64 q^{48} - 16 q^{49} - 34 q^{51} - 8 q^{52} + 32 q^{54} + 4 q^{57} - 18 q^{58} + 40 q^{60} + 4 q^{64} - 20 q^{66} - 36 q^{67} - 42 q^{70} + 22 q^{72} + 4 q^{73} + 104 q^{76} + 28 q^{78} - 10 q^{81} + 52 q^{82} + 4 q^{84} + 46 q^{88} + 140 q^{90} + 72 q^{91} - 46 q^{96} - 32 q^{97} - 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.32990 0.481016i −0.940378 0.340130i
\(3\) 1.28463 + 1.16178i 0.741680 + 0.670753i
\(4\) 1.53725 + 1.27940i 0.768623 + 0.639702i
\(5\) −0.646402 1.11960i −0.289080 0.500700i 0.684511 0.729003i \(-0.260016\pi\)
−0.973590 + 0.228302i \(0.926683\pi\)
\(6\) −1.14959 2.16297i −0.469317 0.883030i
\(7\) 2.42742 1.05244i 0.917478 0.397786i
\(8\) −1.42896 2.44091i −0.505215 0.862993i
\(9\) 0.300539 + 2.98491i 0.100180 + 0.994969i
\(10\) 0.321101 + 1.79988i 0.101541 + 0.569173i
\(11\) 1.60004 + 0.923782i 0.482430 + 0.278531i 0.721428 0.692489i \(-0.243486\pi\)
−0.238999 + 0.971020i \(0.576819\pi\)
\(12\) 0.488406 + 3.42950i 0.140991 + 0.990011i
\(13\) 2.25432i 0.625235i 0.949879 + 0.312617i \(0.101206\pi\)
−0.949879 + 0.312617i \(0.898794\pi\)
\(14\) −3.73446 + 0.232013i −0.998076 + 0.0620081i
\(15\) 0.470342 2.18925i 0.121442 0.565261i
\(16\) 0.726254 + 3.93352i 0.181564 + 0.983379i
\(17\) 3.89580 + 2.24924i 0.944871 + 0.545522i 0.891484 0.453052i \(-0.149665\pi\)
0.0533874 + 0.998574i \(0.482998\pi\)
\(18\) 1.03610 4.11418i 0.244212 0.969722i
\(19\) −2.80851 4.86448i −0.644317 1.11599i −0.984459 0.175615i \(-0.943809\pi\)
0.340142 0.940374i \(-0.389525\pi\)
\(20\) 0.438742 2.54811i 0.0981056 0.569775i
\(21\) 4.34104 + 1.46812i 0.947292 + 0.320371i
\(22\) −1.68353 1.99818i −0.358930 0.426013i
\(23\) 0.519880 + 0.900459i 0.108402 + 0.187759i 0.915123 0.403174i \(-0.132093\pi\)
−0.806721 + 0.590933i \(0.798760\pi\)
\(24\) 1.00011 4.79581i 0.204148 0.978940i
\(25\) 1.66433 2.88270i 0.332866 0.576541i
\(26\) 1.08436 2.99801i 0.212661 0.587957i
\(27\) −3.08172 + 4.18366i −0.593078 + 0.805145i
\(28\) 5.07804 + 1.48778i 0.959660 + 0.281164i
\(29\) −1.32085 −0.245277 −0.122638 0.992451i \(-0.539135\pi\)
−0.122638 + 0.992451i \(0.539135\pi\)
\(30\) −1.67857 + 2.68523i −0.306463 + 0.490253i
\(31\) −3.69700 2.13446i −0.664000 0.383361i 0.129799 0.991540i \(-0.458567\pi\)
−0.793800 + 0.608179i \(0.791900\pi\)
\(32\) 0.926243 5.58051i 0.163738 0.986504i
\(33\) 0.982223 + 3.04561i 0.170983 + 0.530172i
\(34\) −4.09909 4.86521i −0.702988 0.834376i
\(35\) −2.74740 2.03744i −0.464396 0.344390i
\(36\) −3.35690 + 4.97305i −0.559483 + 0.828842i
\(37\) −8.18394 + 4.72500i −1.34543 + 0.776786i −0.987599 0.157000i \(-0.949818\pi\)
−0.357834 + 0.933785i \(0.616484\pi\)
\(38\) 1.39513 + 7.82020i 0.226320 + 1.26860i
\(39\) −2.61902 + 2.89596i −0.419378 + 0.463724i
\(40\) −1.80916 + 3.17768i −0.286054 + 0.502435i
\(41\) 1.39634i 0.218072i −0.994038 0.109036i \(-0.965224\pi\)
0.994038 0.109036i \(-0.0347764\pi\)
\(42\) −5.06694 4.04056i −0.781845 0.623472i
\(43\) −6.02578 −0.918922 −0.459461 0.888198i \(-0.651957\pi\)
−0.459461 + 0.888198i \(0.651957\pi\)
\(44\) 1.27776 + 3.46717i 0.192630 + 0.522696i
\(45\) 3.14763 2.26593i 0.469222 0.337785i
\(46\) −0.258251 1.44759i −0.0380770 0.213435i
\(47\) −5.90249 10.2234i −0.860966 1.49124i −0.870997 0.491288i \(-0.836526\pi\)
0.0100312 0.999950i \(-0.496807\pi\)
\(48\) −3.63691 + 5.89685i −0.524943 + 0.851138i
\(49\) 4.78472 5.10944i 0.683532 0.729921i
\(50\) −3.60001 + 3.03313i −0.509119 + 0.428949i
\(51\) 2.39154 + 7.41551i 0.334882 + 1.03838i
\(52\) −2.88418 + 3.46544i −0.399964 + 0.480570i
\(53\) −6.02901 + 10.4425i −0.828148 + 1.43439i 0.0713414 + 0.997452i \(0.477272\pi\)
−0.899489 + 0.436943i \(0.856061\pi\)
\(54\) 6.11078 4.08147i 0.831571 0.555418i
\(55\) 2.38854i 0.322070i
\(56\) −6.03762 4.42122i −0.806811 0.590810i
\(57\) 2.04356 9.51192i 0.270676 1.25988i
\(58\) 1.75660 + 0.635353i 0.230653 + 0.0834259i
\(59\) −9.57732 5.52947i −1.24686 0.719875i −0.276378 0.961049i \(-0.589134\pi\)
−0.970482 + 0.241174i \(0.922468\pi\)
\(60\) 3.52396 2.76365i 0.454941 0.356786i
\(61\) 7.65220 4.41800i 0.979764 0.565667i 0.0775652 0.996987i \(-0.475285\pi\)
0.902199 + 0.431320i \(0.141952\pi\)
\(62\) 3.88991 + 4.61693i 0.494019 + 0.586351i
\(63\) 3.87098 + 6.92932i 0.487698 + 0.873012i
\(64\) −3.91612 + 6.97596i −0.489515 + 0.871995i
\(65\) 2.52393 1.45719i 0.313055 0.180743i
\(66\) 0.158732 4.52281i 0.0195386 0.556719i
\(67\) 3.05545 5.29219i 0.373283 0.646544i −0.616786 0.787131i \(-0.711566\pi\)
0.990068 + 0.140587i \(0.0448989\pi\)
\(68\) 3.11112 + 8.44195i 0.377279 + 1.02374i
\(69\) −0.378281 + 1.76074i −0.0455397 + 0.211968i
\(70\) 2.67372 + 4.03113i 0.319571 + 0.481812i
\(71\) 14.0121 1.66293 0.831464 0.555578i \(-0.187503\pi\)
0.831464 + 0.555578i \(0.187503\pi\)
\(72\) 6.85644 4.99892i 0.808040 0.589128i
\(73\) −4.38664 + 7.59788i −0.513417 + 0.889264i 0.486462 + 0.873702i \(0.338287\pi\)
−0.999879 + 0.0155626i \(0.995046\pi\)
\(74\) 13.1566 2.34715i 1.52942 0.272851i
\(75\) 5.48711 1.76962i 0.633597 0.204338i
\(76\) 1.90626 11.0711i 0.218663 1.26995i
\(77\) 4.85619 + 0.558456i 0.553414 + 0.0636420i
\(78\) 4.87602 2.59153i 0.552101 0.293433i
\(79\) 2.37061 1.36867i 0.266714 0.153987i −0.360679 0.932690i \(-0.617455\pi\)
0.627393 + 0.778702i \(0.284122\pi\)
\(80\) 3.93451 3.35575i 0.439892 0.375184i
\(81\) −8.81935 + 1.79416i −0.979928 + 0.199352i
\(82\) −0.671663 + 1.85699i −0.0741728 + 0.205070i
\(83\) 4.74366i 0.520685i −0.965516 0.260342i \(-0.916165\pi\)
0.965516 0.260342i \(-0.0838354\pi\)
\(84\) 4.79492 + 7.81081i 0.523169 + 0.852229i
\(85\) 5.81566i 0.630797i
\(86\) 8.01366 + 2.89850i 0.864135 + 0.312553i
\(87\) −1.69681 1.53454i −0.181917 0.164520i
\(88\) −0.0315236 5.22561i −0.00336043 0.557051i
\(89\) −8.31219 + 4.79904i −0.881090 + 0.508697i −0.871018 0.491252i \(-0.836539\pi\)
−0.0100723 + 0.999949i \(0.503206\pi\)
\(90\) −5.27598 + 1.49939i −0.556137 + 0.158050i
\(91\) 2.37254 + 5.47217i 0.248710 + 0.573639i
\(92\) −0.352866 + 2.04936i −0.0367888 + 0.213661i
\(93\) −2.26949 7.03709i −0.235336 0.729712i
\(94\) 2.93207 + 16.4353i 0.302420 + 1.69517i
\(95\) −3.63085 + 6.28882i −0.372517 + 0.645219i
\(96\) 7.67320 6.09279i 0.783142 0.621843i
\(97\) −8.73466 −0.886871 −0.443435 0.896306i \(-0.646240\pi\)
−0.443435 + 0.896306i \(0.646240\pi\)
\(98\) −8.82091 + 4.49350i −0.891046 + 0.453912i
\(99\) −2.27653 + 5.05360i −0.228800 + 0.507906i
\(100\) 6.24663 2.30208i 0.624663 0.230208i
\(101\) 3.42033 5.92419i 0.340336 0.589479i −0.644159 0.764891i \(-0.722793\pi\)
0.984495 + 0.175413i \(0.0561259\pi\)
\(102\) 0.386485 11.0122i 0.0382677 1.09037i
\(103\) −3.88733 + 2.24435i −0.383030 + 0.221143i −0.679136 0.734013i \(-0.737645\pi\)
0.296106 + 0.955155i \(0.404312\pi\)
\(104\) 5.50259 3.22134i 0.539574 0.315878i
\(105\) −1.16234 5.80923i −0.113433 0.566922i
\(106\) 13.0410 10.9875i 1.26665 1.06720i
\(107\) 6.27888 3.62511i 0.607002 0.350453i −0.164789 0.986329i \(-0.552694\pi\)
0.771791 + 0.635876i \(0.219361\pi\)
\(108\) −10.0900 + 2.48855i −0.970906 + 0.239461i
\(109\) 10.6680 + 6.15916i 1.02181 + 0.589941i 0.914627 0.404299i \(-0.132484\pi\)
0.107180 + 0.994240i \(0.465818\pi\)
\(110\) −1.14893 + 3.17651i −0.109546 + 0.302868i
\(111\) −16.0027 3.43806i −1.51891 0.326326i
\(112\) 5.90273 + 8.78395i 0.557756 + 0.830005i
\(113\) 7.27566i 0.684437i 0.939620 + 0.342218i \(0.111178\pi\)
−0.939620 + 0.342218i \(0.888822\pi\)
\(114\) −7.29311 + 11.6669i −0.683063 + 1.09270i
\(115\) 0.672102 1.16412i 0.0626739 0.108554i
\(116\) −2.03048 1.68991i −0.188525 0.156904i
\(117\) −6.72893 + 0.677511i −0.622089 + 0.0626359i
\(118\) 10.0771 + 11.9605i 0.927669 + 1.10105i
\(119\) 11.8240 + 1.35974i 1.08390 + 0.124647i
\(120\) −6.01586 + 1.98029i −0.549171 + 0.180775i
\(121\) −3.79325 6.57011i −0.344841 0.597282i
\(122\) −12.3018 + 2.19465i −1.11375 + 0.198694i
\(123\) 1.62224 1.79378i 0.146272 0.161740i
\(124\) −2.95236 8.01115i −0.265130 0.719422i
\(125\) −10.7673 −0.963058
\(126\) −1.81489 11.0773i −0.161683 0.986843i
\(127\) 21.7722i 1.93197i 0.258595 + 0.965986i \(0.416740\pi\)
−0.258595 + 0.965986i \(0.583260\pi\)
\(128\) 8.56359 7.39358i 0.756921 0.653506i
\(129\) −7.74088 7.00062i −0.681547 0.616370i
\(130\) −4.05750 + 0.723863i −0.355866 + 0.0634870i
\(131\) −4.65916 + 2.68997i −0.407073 + 0.235024i −0.689531 0.724256i \(-0.742183\pi\)
0.282458 + 0.959280i \(0.408850\pi\)
\(132\) −2.38664 + 5.93851i −0.207730 + 0.516881i
\(133\) −11.9370 8.85234i −1.03507 0.767595i
\(134\) −6.60906 + 5.56835i −0.570936 + 0.481032i
\(135\) 6.67605 + 0.745974i 0.574583 + 0.0642033i
\(136\) −0.0767544 12.7234i −0.00658163 1.09102i
\(137\) 11.3713 + 6.56523i 0.971517 + 0.560905i 0.899698 0.436512i \(-0.143786\pi\)
0.0718185 + 0.997418i \(0.477120\pi\)
\(138\) 1.35002 2.15964i 0.114921 0.183841i
\(139\) 12.9760 1.10061 0.550307 0.834963i \(-0.314511\pi\)
0.550307 + 0.834963i \(0.314511\pi\)
\(140\) −1.61673 6.64708i −0.136639 0.561781i
\(141\) 4.29484 19.9907i 0.361691 1.68352i
\(142\) −18.6346 6.74004i −1.56378 0.565612i
\(143\) −2.08250 + 3.60699i −0.174147 + 0.301632i
\(144\) −11.5229 + 3.34998i −0.960243 + 0.279165i
\(145\) 0.853802 + 1.47883i 0.0709044 + 0.122810i
\(146\) 9.48848 7.99434i 0.785272 0.661617i
\(147\) 12.0826 1.00495i 0.996559 0.0828866i
\(148\) −18.6259 3.20707i −1.53104 0.263620i
\(149\) 3.42033 + 5.92419i 0.280205 + 0.485328i 0.971435 0.237306i \(-0.0762644\pi\)
−0.691230 + 0.722634i \(0.742931\pi\)
\(150\) −8.14850 0.285980i −0.665322 0.0233502i
\(151\) 3.16245 + 1.82584i 0.257356 + 0.148585i 0.623128 0.782120i \(-0.285862\pi\)
−0.365772 + 0.930705i \(0.619195\pi\)
\(152\) −7.86052 + 13.8065i −0.637573 + 1.11986i
\(153\) −5.54294 + 12.3046i −0.448120 + 0.994768i
\(154\) −6.18960 3.07860i −0.498772 0.248080i
\(155\) 5.51888i 0.443287i
\(156\) −7.73117 + 1.10102i −0.618989 + 0.0881524i
\(157\) 2.34584 + 1.35437i 0.187219 + 0.108091i 0.590680 0.806906i \(-0.298860\pi\)
−0.403461 + 0.914997i \(0.632193\pi\)
\(158\) −3.81101 + 0.679889i −0.303188 + 0.0540891i
\(159\) −19.8770 + 6.41042i −1.57635 + 0.508379i
\(160\) −6.84666 + 2.57023i −0.541276 + 0.203194i
\(161\) 2.20965 + 1.63865i 0.174145 + 0.129143i
\(162\) 12.5918 + 1.85620i 0.989309 + 0.145837i
\(163\) 4.41842 + 7.65293i 0.346078 + 0.599424i 0.985549 0.169391i \(-0.0541801\pi\)
−0.639471 + 0.768815i \(0.720847\pi\)
\(164\) 1.78648 2.14652i 0.139501 0.167615i
\(165\) 2.77495 3.06838i 0.216030 0.238873i
\(166\) −2.28178 + 6.30858i −0.177100 + 0.489641i
\(167\) 11.8815 0.919417 0.459709 0.888070i \(-0.347954\pi\)
0.459709 + 0.888070i \(0.347954\pi\)
\(168\) −2.61962 12.6940i −0.202108 0.979363i
\(169\) 7.91806 0.609081
\(170\) −2.79743 + 7.73422i −0.214553 + 0.593188i
\(171\) 13.6760 9.84512i 1.04583 0.752875i
\(172\) −9.26310 7.70940i −0.706305 0.587836i
\(173\) −3.12500 5.41265i −0.237589 0.411516i 0.722433 0.691441i \(-0.243024\pi\)
−0.960022 + 0.279925i \(0.909691\pi\)
\(174\) 1.51844 + 2.85697i 0.115112 + 0.216586i
\(175\) 1.00614 8.74915i 0.0760571 0.661373i
\(176\) −2.47168 + 6.96468i −0.186310 + 0.524982i
\(177\) −5.87927 18.2300i −0.441913 1.37025i
\(178\) 13.3628 2.38393i 1.00158 0.178683i
\(179\) 1.43978 + 0.831255i 0.107614 + 0.0621309i 0.552841 0.833287i \(-0.313544\pi\)
−0.445227 + 0.895418i \(0.646877\pi\)
\(180\) 7.73773 + 0.543797i 0.576737 + 0.0405322i
\(181\) 4.46877i 0.332161i −0.986112 0.166081i \(-0.946889\pi\)
0.986112 0.166081i \(-0.0531112\pi\)
\(182\) −0.523031 8.41865i −0.0387696 0.624032i
\(183\) 14.9630 + 3.21468i 1.10609 + 0.237636i
\(184\) 1.45505 2.55571i 0.107268 0.188409i
\(185\) 10.5802 + 6.10850i 0.777874 + 0.449106i
\(186\) −0.366762 + 10.4503i −0.0268923 + 0.766250i
\(187\) 4.15562 + 7.19775i 0.303889 + 0.526352i
\(188\) 4.00628 23.2676i 0.292188 1.69696i
\(189\) −3.07756 + 13.3988i −0.223860 + 0.974621i
\(190\) 7.85368 6.61698i 0.569766 0.480046i
\(191\) −11.2771 19.5325i −0.815982 1.41332i −0.908620 0.417623i \(-0.862863\pi\)
0.0926380 0.995700i \(-0.470470\pi\)
\(192\) −13.1353 + 4.41184i −0.947957 + 0.318397i
\(193\) −2.90298 + 5.02810i −0.208961 + 0.361931i −0.951387 0.307997i \(-0.900341\pi\)
0.742427 + 0.669927i \(0.233675\pi\)
\(194\) 11.6162 + 4.20152i 0.833994 + 0.301651i
\(195\) 4.93525 + 1.06030i 0.353421 + 0.0759297i
\(196\) 13.8923 1.73289i 0.992310 0.123778i
\(197\) 3.15873 0.225050 0.112525 0.993649i \(-0.464106\pi\)
0.112525 + 0.993649i \(0.464106\pi\)
\(198\) 5.45841 5.62571i 0.387912 0.399802i
\(199\) −12.2352 7.06397i −0.867327 0.500751i −0.000867851 1.00000i \(-0.500276\pi\)
−0.866459 + 0.499248i \(0.833610\pi\)
\(200\) −9.41470 + 0.0567945i −0.665720 + 0.00401598i
\(201\) 10.0735 3.24874i 0.710528 0.229149i
\(202\) −7.39832 + 6.23332i −0.520544 + 0.438575i
\(203\) −3.20627 + 1.39013i −0.225036 + 0.0975677i
\(204\) −5.81104 + 14.4592i −0.406854 + 1.01235i
\(205\) −1.56334 + 0.902597i −0.109189 + 0.0630401i
\(206\) 6.24932 1.11488i 0.435411 0.0776777i
\(207\) −2.53154 + 1.82242i −0.175954 + 0.126667i
\(208\) −8.86739 + 1.63721i −0.614843 + 0.113520i
\(209\) 10.3778i 0.717848i
\(210\) −1.24854 + 8.28477i −0.0861574 + 0.571703i
\(211\) 1.95410 0.134526 0.0672629 0.997735i \(-0.478573\pi\)
0.0672629 + 0.997735i \(0.478573\pi\)
\(212\) −22.6283 + 8.33924i −1.55412 + 0.572741i
\(213\) 18.0003 + 16.2789i 1.23336 + 1.11541i
\(214\) −10.0940 + 1.80078i −0.690011 + 0.123099i
\(215\) 3.89507 + 6.74646i 0.265642 + 0.460105i
\(216\) 14.6156 + 1.54392i 0.994467 + 0.105051i
\(217\) −11.2206 1.29035i −0.761702 0.0875948i
\(218\) −11.2246 13.3225i −0.760229 0.902315i
\(219\) −14.4623 + 4.66415i −0.977269 + 0.315174i
\(220\) 3.05590 3.67177i 0.206029 0.247551i
\(221\) −5.07051 + 8.78238i −0.341079 + 0.590766i
\(222\) 19.6282 + 12.2698i 1.31736 + 0.823498i
\(223\) 3.59985i 0.241064i 0.992709 + 0.120532i \(0.0384600\pi\)
−0.992709 + 0.120532i \(0.961540\pi\)
\(224\) −3.62479 14.5210i −0.242192 0.970228i
\(225\) 9.10480 + 4.10151i 0.606987 + 0.273434i
\(226\) 3.49971 9.67588i 0.232797 0.643630i
\(227\) 5.05015 + 2.91571i 0.335190 + 0.193522i 0.658143 0.752893i \(-0.271342\pi\)
−0.322953 + 0.946415i \(0.604675\pi\)
\(228\) 15.3110 12.0076i 1.01400 0.795225i
\(229\) 11.2803 6.51269i 0.745424 0.430371i −0.0786144 0.996905i \(-0.525050\pi\)
0.824038 + 0.566535i \(0.191716\pi\)
\(230\) −1.45378 + 1.22486i −0.0958597 + 0.0807649i
\(231\) 5.58960 + 6.35923i 0.367768 + 0.418406i
\(232\) 1.88745 + 3.22409i 0.123917 + 0.211672i
\(233\) −13.6565 + 7.88458i −0.894667 + 0.516536i −0.875466 0.483279i \(-0.839446\pi\)
−0.0192009 + 0.999816i \(0.506112\pi\)
\(234\) 9.27467 + 2.33570i 0.606304 + 0.152690i
\(235\) −7.63075 + 13.2169i −0.497775 + 0.862172i
\(236\) −7.64828 20.7534i −0.497861 1.35093i
\(237\) 4.63544 + 0.995889i 0.301104 + 0.0646899i
\(238\) −15.0706 7.49583i −0.976880 0.485882i
\(239\) −22.7458 −1.47130 −0.735651 0.677361i \(-0.763124\pi\)
−0.735651 + 0.677361i \(0.763124\pi\)
\(240\) 8.95302 + 0.260151i 0.577915 + 0.0167927i
\(241\) −6.82067 + 11.8137i −0.439358 + 0.760990i −0.997640 0.0686608i \(-0.978127\pi\)
0.558282 + 0.829651i \(0.311461\pi\)
\(242\) 1.88430 + 10.5622i 0.121128 + 0.678962i
\(243\) −13.4140 7.94130i −0.860509 0.509435i
\(244\) 17.4157 + 2.99870i 1.11493 + 0.191972i
\(245\) −8.81339 2.05422i −0.563067 0.131240i
\(246\) −3.02025 + 1.60522i −0.192564 + 0.102345i
\(247\) 10.9661 6.33127i 0.697755 0.402849i
\(248\) 0.0728375 + 12.0741i 0.00462519 + 0.766708i
\(249\) 5.51109 6.09384i 0.349251 0.386182i
\(250\) 14.3194 + 5.17926i 0.905639 + 0.327565i
\(251\) 5.33090i 0.336484i −0.985746 0.168242i \(-0.946191\pi\)
0.985746 0.168242i \(-0.0538089\pi\)
\(252\) −2.91474 + 15.6046i −0.183611 + 0.982999i
\(253\) 1.92102i 0.120774i
\(254\) 10.4728 28.9548i 0.657121 1.81678i
\(255\) 6.75651 7.47096i 0.423109 0.467850i
\(256\) −14.9451 + 5.71347i −0.934069 + 0.357092i
\(257\) 7.26678 4.19547i 0.453289 0.261707i −0.255929 0.966696i \(-0.582381\pi\)
0.709218 + 0.704989i \(0.249048\pi\)
\(258\) 6.92716 + 13.0336i 0.431266 + 0.811436i
\(259\) −14.8931 + 20.0827i −0.925410 + 1.24788i
\(260\) 5.74425 + 0.989063i 0.356243 + 0.0613391i
\(261\) −0.396969 3.94263i −0.0245717 0.244043i
\(262\) 7.49012 1.33625i 0.462741 0.0825536i
\(263\) 1.58410 2.74375i 0.0976800 0.169187i −0.813044 0.582202i \(-0.802191\pi\)
0.910724 + 0.413016i \(0.135525\pi\)
\(264\) 6.03050 6.74958i 0.371152 0.415408i
\(265\) 15.5886 0.957603
\(266\) 11.6169 + 17.5146i 0.712277 + 1.07389i
\(267\) −16.2535 3.49194i −0.994698 0.213703i
\(268\) 11.4678 4.22625i 0.700509 0.258160i
\(269\) 7.81827 13.5416i 0.476689 0.825649i −0.522955 0.852361i \(-0.675170\pi\)
0.999643 + 0.0267117i \(0.00850361\pi\)
\(270\) −8.51963 4.20336i −0.518488 0.255808i
\(271\) 12.4371 7.18058i 0.755502 0.436189i −0.0721766 0.997392i \(-0.522995\pi\)
0.827678 + 0.561203i \(0.189661\pi\)
\(272\) −6.01809 + 16.9577i −0.364901 + 1.02821i
\(273\) −3.30962 + 9.78607i −0.200307 + 0.592280i
\(274\) −11.9647 14.2009i −0.722813 0.857905i
\(275\) 5.32598 3.07496i 0.321169 0.185427i
\(276\) −2.83421 + 2.22272i −0.170599 + 0.133792i
\(277\) −3.23202 1.86601i −0.194193 0.112117i 0.399751 0.916624i \(-0.369097\pi\)
−0.593944 + 0.804506i \(0.702430\pi\)
\(278\) −17.2568 6.24169i −1.03499 0.374351i
\(279\) 5.26008 11.6767i 0.314913 0.699065i
\(280\) −1.04727 + 9.61760i −0.0625862 + 0.574762i
\(281\) 18.8375i 1.12375i −0.827223 0.561874i \(-0.810080\pi\)
0.827223 0.561874i \(-0.189920\pi\)
\(282\) −15.3275 + 24.5196i −0.912741 + 1.46012i
\(283\) 10.7726 18.6586i 0.640362 1.10914i −0.344989 0.938607i \(-0.612117\pi\)
0.985352 0.170534i \(-0.0545492\pi\)
\(284\) 21.5400 + 17.9271i 1.27817 + 1.06378i
\(285\) −11.9705 + 3.86055i −0.709072 + 0.228679i
\(286\) 4.50453 3.79521i 0.266358 0.224415i
\(287\) −1.46957 3.38951i −0.0867460 0.200076i
\(288\) 16.9357 + 1.08759i 0.997944 + 0.0640868i
\(289\) 1.61820 + 2.80280i 0.0951880 + 0.164870i
\(290\) −0.424127 2.37738i −0.0249056 0.139605i
\(291\) −11.2208 10.1477i −0.657775 0.594871i
\(292\) −16.4641 + 6.06754i −0.963488 + 0.355076i
\(293\) 4.13814 0.241753 0.120876 0.992668i \(-0.461430\pi\)
0.120876 + 0.992668i \(0.461430\pi\)
\(294\) −16.5520 4.47547i −0.965335 0.261015i
\(295\) 14.2970i 0.832405i
\(296\) 23.2279 + 13.2244i 1.35009 + 0.768655i
\(297\) −8.79566 + 3.84717i −0.510376 + 0.223235i
\(298\) −1.69905 9.52379i −0.0984236 0.551698i
\(299\) −2.02992 + 1.17197i −0.117393 + 0.0677770i
\(300\) 10.6991 + 4.29989i 0.617713 + 0.248254i
\(301\) −14.6271 + 6.34179i −0.843091 + 0.365535i
\(302\) −3.32747 3.94937i −0.191474 0.227260i
\(303\) 11.2765 3.63671i 0.647815 0.208924i
\(304\) 17.0948 14.5802i 0.980456 0.836230i
\(305\) −9.89279 5.71160i −0.566459 0.327046i
\(306\) 13.2903 13.6976i 0.759753 0.783040i
\(307\) −4.63154 −0.264336 −0.132168 0.991227i \(-0.542194\pi\)
−0.132168 + 0.991227i \(0.542194\pi\)
\(308\) 6.75067 + 7.07151i 0.384655 + 0.402937i
\(309\) −7.60122 1.63306i −0.432418 0.0929017i
\(310\) 2.65467 7.33954i 0.150775 0.416858i
\(311\) −7.04878 + 12.2088i −0.399700 + 0.692300i −0.993689 0.112173i \(-0.964219\pi\)
0.593989 + 0.804473i \(0.297552\pi\)
\(312\) 10.8113 + 2.25458i 0.612067 + 0.127640i
\(313\) 6.95418 + 12.0450i 0.393074 + 0.680824i 0.992853 0.119342i \(-0.0380784\pi\)
−0.599780 + 0.800165i \(0.704745\pi\)
\(314\) −2.46825 2.92956i −0.139292 0.165325i
\(315\) 5.25586 8.81308i 0.296134 0.496561i
\(316\) 5.39529 + 0.928978i 0.303509 + 0.0522591i
\(317\) 8.34364 + 14.4516i 0.468625 + 0.811683i 0.999357 0.0358569i \(-0.0114161\pi\)
−0.530731 + 0.847540i \(0.678083\pi\)
\(318\) 29.5178 + 1.03596i 1.65528 + 0.0580936i
\(319\) −2.11342 1.22018i −0.118329 0.0683171i
\(320\) 10.3417 0.124777i 0.578117 0.00697527i
\(321\) 12.2776 + 2.63775i 0.685269 + 0.147225i
\(322\) −2.15039 3.24211i −0.119836 0.180675i
\(323\) 25.2681i 1.40595i
\(324\) −15.8530 8.52544i −0.880721 0.473635i
\(325\) 6.49853 + 3.75193i 0.360473 + 0.208119i
\(326\) −2.19486 12.3029i −0.121562 0.681397i
\(327\) 6.54881 + 20.3061i 0.362150 + 1.12293i
\(328\) −3.40835 + 1.99532i −0.188195 + 0.110173i
\(329\) −25.0874 18.6045i −1.38311 1.02570i
\(330\) −5.16634 + 2.74583i −0.284398 + 0.151153i
\(331\) −4.82148 8.35105i −0.265012 0.459015i 0.702554 0.711630i \(-0.252043\pi\)
−0.967567 + 0.252615i \(0.918709\pi\)
\(332\) 6.06906 7.29218i 0.333083 0.400210i
\(333\) −16.5633 23.0083i −0.907663 1.26085i
\(334\) −15.8011 5.71519i −0.864600 0.312721i
\(335\) −7.90019 −0.431633
\(336\) −2.62220 + 18.1418i −0.143053 + 0.989715i
\(337\) 29.4886 1.60635 0.803173 0.595746i \(-0.203144\pi\)
0.803173 + 0.595746i \(0.203144\pi\)
\(338\) −10.5302 3.80872i −0.572767 0.207167i
\(339\) −8.45271 + 9.34652i −0.459088 + 0.507633i
\(340\) 7.44057 8.94010i 0.403522 0.484845i
\(341\) −3.94356 6.83044i −0.213556 0.369889i
\(342\) −22.9233 + 6.51462i −1.23955 + 0.352270i
\(343\) 6.23712 17.4384i 0.336773 0.941586i
\(344\) 8.61062 + 14.7084i 0.464253 + 0.793024i
\(345\) 2.21585 0.714621i 0.119297 0.0384739i
\(346\) 1.55235 + 8.70144i 0.0834547 + 0.467792i
\(347\) 10.8911 + 6.28800i 0.584667 + 0.337558i 0.762986 0.646415i \(-0.223733\pi\)
−0.178319 + 0.983973i \(0.557066\pi\)
\(348\) −0.645114 4.52987i −0.0345817 0.242826i
\(349\) 34.5012i 1.84681i 0.383830 + 0.923404i \(0.374605\pi\)
−0.383830 + 0.923404i \(0.625395\pi\)
\(350\) −5.54654 + 11.1515i −0.296475 + 0.596072i
\(351\) −9.43129 6.94718i −0.503405 0.370813i
\(352\) 6.63720 8.07338i 0.353764 0.430312i
\(353\) −9.10737 5.25815i −0.484737 0.279863i 0.237652 0.971350i \(-0.423622\pi\)
−0.722388 + 0.691488i \(0.756956\pi\)
\(354\) −0.950121 + 27.0721i −0.0504984 + 1.43886i
\(355\) −9.05743 15.6879i −0.480719 0.832629i
\(356\) −18.9178 3.25733i −1.00264 0.172638i
\(357\) 13.6097 + 15.4836i 0.720300 + 0.819478i
\(358\) −1.51491 1.79804i −0.0800652 0.0950293i
\(359\) 8.02903 + 13.9067i 0.423756 + 0.733967i 0.996303 0.0859047i \(-0.0273780\pi\)
−0.572547 + 0.819872i \(0.694045\pi\)
\(360\) −10.0288 4.44517i −0.528564 0.234281i
\(361\) −6.27547 + 10.8694i −0.330288 + 0.572075i
\(362\) −2.14955 + 5.94300i −0.112978 + 0.312357i
\(363\) 2.76009 12.8471i 0.144867 0.674296i
\(364\) −3.35393 + 11.4475i −0.175794 + 0.600013i
\(365\) 11.3421 0.593673
\(366\) −18.3529 11.4726i −0.959321 0.599684i
\(367\) −20.8250 12.0233i −1.08706 0.627613i −0.154266 0.988029i \(-0.549301\pi\)
−0.932791 + 0.360417i \(0.882634\pi\)
\(368\) −3.16440 + 2.69892i −0.164956 + 0.140691i
\(369\) 4.16795 0.419655i 0.216975 0.0218464i
\(370\) −11.1323 13.2129i −0.578742 0.686907i
\(371\) −3.64473 + 31.6936i −0.189225 + 1.64545i
\(372\) 5.51450 13.7213i 0.285913 0.711418i
\(373\) −12.5120 + 7.22381i −0.647847 + 0.374035i −0.787631 0.616147i \(-0.788693\pi\)
0.139784 + 0.990182i \(0.455359\pi\)
\(374\) −2.06431 11.5712i −0.106743 0.598332i
\(375\) −13.8320 12.5092i −0.714281 0.645975i
\(376\) −16.5200 + 29.0163i −0.851955 + 1.49640i
\(377\) 2.97762i 0.153355i
\(378\) 10.5379 16.3387i 0.542011 0.840371i
\(379\) −29.8048 −1.53097 −0.765485 0.643453i \(-0.777501\pi\)
−0.765485 + 0.643453i \(0.777501\pi\)
\(380\) −13.6274 + 5.02214i −0.699073 + 0.257630i
\(381\) −25.2945 + 27.9692i −1.29588 + 1.43291i
\(382\) 5.60191 + 31.4007i 0.286619 + 1.60660i
\(383\) 5.62806 + 9.74809i 0.287581 + 0.498104i 0.973232 0.229826i \(-0.0738158\pi\)
−0.685651 + 0.727930i \(0.740482\pi\)
\(384\) 19.5907 + 0.450993i 0.999735 + 0.0230146i
\(385\) −2.51380 5.79798i −0.128115 0.295492i
\(386\) 6.27926 5.29048i 0.319606 0.269278i
\(387\) −1.81098 17.9864i −0.0920574 0.914300i
\(388\) −13.4273 11.1752i −0.681669 0.567333i
\(389\) 13.4807 23.3492i 0.683498 1.18385i −0.290408 0.956903i \(-0.593791\pi\)
0.973906 0.226950i \(-0.0728755\pi\)
\(390\) −6.05335 3.78403i −0.306523 0.191612i
\(391\) 4.67735i 0.236544i
\(392\) −19.3089 4.37788i −0.975247 0.221117i
\(393\) −9.11045 1.95731i −0.459561 0.0987331i
\(394\) −4.20078 1.51940i −0.211632 0.0765463i
\(395\) −3.06473 1.76942i −0.154203 0.0890293i
\(396\) −9.96518 + 4.85603i −0.500769 + 0.244024i
\(397\) 6.75185 3.89818i 0.338866 0.195644i −0.320905 0.947111i \(-0.603987\pi\)
0.659770 + 0.751467i \(0.270654\pi\)
\(398\) 12.8736 + 15.2796i 0.645295 + 0.765900i
\(399\) −5.05018 25.2402i −0.252825 1.26359i
\(400\) 12.5479 + 4.45309i 0.627395 + 0.222655i
\(401\) −2.98430 + 1.72299i −0.149029 + 0.0860420i −0.572660 0.819793i \(-0.694089\pi\)
0.423631 + 0.905835i \(0.360755\pi\)
\(402\) −14.9594 0.525014i −0.746106 0.0261853i
\(403\) 4.81175 8.33420i 0.239691 0.415156i
\(404\) 12.8373 4.73095i 0.638681 0.235374i
\(405\) 7.70959 + 8.71440i 0.383093 + 0.433022i
\(406\) 4.93267 0.306456i 0.244805 0.0152091i
\(407\) −17.4595 −0.865435
\(408\) 14.6832 16.4340i 0.726926 0.813606i
\(409\) 9.79039 16.9575i 0.484104 0.838492i −0.515729 0.856752i \(-0.672479\pi\)
0.999833 + 0.0182590i \(0.00581236\pi\)
\(410\) 2.51325 0.448366i 0.124121 0.0221432i
\(411\) 6.98056 + 21.6448i 0.344326 + 1.06766i
\(412\) −8.84722 1.52334i −0.435871 0.0750497i
\(413\) −29.0676 3.34274i −1.43032 0.164485i
\(414\) 4.24330 1.20591i 0.208547 0.0592674i
\(415\) −5.31101 + 3.06631i −0.260707 + 0.150519i
\(416\) 12.5802 + 2.08805i 0.616797 + 0.102375i
\(417\) 16.6694 + 15.0753i 0.816303 + 0.738240i
\(418\) −4.99190 + 13.8014i −0.244162 + 0.675049i
\(419\) 27.6189i 1.34927i 0.738150 + 0.674637i \(0.235700\pi\)
−0.738150 + 0.674637i \(0.764300\pi\)
\(420\) 5.64554 10.4173i 0.275474 0.508313i
\(421\) 9.36226i 0.456289i −0.973627 0.228144i \(-0.926734\pi\)
0.973627 0.228144i \(-0.0732658\pi\)
\(422\) −2.59875 0.939954i −0.126505 0.0457563i
\(423\) 28.7420 20.6909i 1.39748 1.00603i
\(424\) 34.1046 0.205737i 1.65627 0.00999147i
\(425\) 12.9678 7.48697i 0.629031 0.363171i
\(426\) −16.1081 30.3078i −0.780441 1.46842i
\(427\) 13.9254 18.7779i 0.673897 0.908724i
\(428\) 14.2902 + 2.46053i 0.690741 + 0.118934i
\(429\) −6.86576 + 2.21424i −0.331482 + 0.106905i
\(430\) −1.93488 10.8457i −0.0933083 0.523025i
\(431\) 4.22951 7.32573i 0.203729 0.352868i −0.745998 0.665948i \(-0.768027\pi\)
0.949727 + 0.313080i \(0.101361\pi\)
\(432\) −18.6946 9.08361i −0.899444 0.437035i
\(433\) −10.9191 −0.524737 −0.262369 0.964968i \(-0.584504\pi\)
−0.262369 + 0.964968i \(0.584504\pi\)
\(434\) 14.3015 + 7.11331i 0.686494 + 0.341450i
\(435\) −0.621254 + 2.89168i −0.0297868 + 0.138645i
\(436\) 8.51927 + 23.1168i 0.407999 + 1.10709i
\(437\) 2.92018 5.05790i 0.139691 0.241952i
\(438\) 21.4768 + 0.753750i 1.02620 + 0.0360156i
\(439\) 20.2600 11.6971i 0.966959 0.558274i 0.0686510 0.997641i \(-0.478131\pi\)
0.898308 + 0.439367i \(0.144797\pi\)
\(440\) −5.83021 + 3.41313i −0.277944 + 0.162715i
\(441\) 16.6892 + 12.7464i 0.794725 + 0.606970i
\(442\) 10.9677 9.24065i 0.521681 0.439533i
\(443\) 5.31199 3.06688i 0.252380 0.145712i −0.368473 0.929638i \(-0.620119\pi\)
0.620854 + 0.783926i \(0.286786\pi\)
\(444\) −20.2015 25.7591i −0.958720 1.22247i
\(445\) 10.7460 + 6.20422i 0.509410 + 0.294108i
\(446\) 1.73159 4.78743i 0.0819931 0.226691i
\(447\) −2.48874 + 11.5840i −0.117713 + 0.547907i
\(448\) −2.16426 + 21.0551i −0.102252 + 0.994759i
\(449\) 35.8658i 1.69261i 0.532696 + 0.846307i \(0.321179\pi\)
−0.532696 + 0.846307i \(0.678821\pi\)
\(450\) −10.1356 9.83414i −0.477794 0.463586i
\(451\) 1.28992 2.23420i 0.0607397 0.105204i
\(452\) −9.30851 + 11.1845i −0.437835 + 0.526074i
\(453\) 1.94135 + 6.01959i 0.0912124 + 0.282825i
\(454\) −5.31368 6.30679i −0.249383 0.295992i
\(455\) 4.59303 6.19352i 0.215324 0.290357i
\(456\) −26.1380 + 8.60404i −1.22402 + 0.402921i
\(457\) −1.51987 2.63249i −0.0710964 0.123143i 0.828286 0.560306i \(-0.189316\pi\)
−0.899382 + 0.437163i \(0.855983\pi\)
\(458\) −18.1343 + 3.23519i −0.847362 + 0.151170i
\(459\) −21.4159 + 9.36717i −0.999606 + 0.437222i
\(460\) 2.52256 0.929643i 0.117615 0.0433448i
\(461\) 30.7564 1.43247 0.716233 0.697861i \(-0.245865\pi\)
0.716233 + 0.697861i \(0.245865\pi\)
\(462\) −4.37469 11.1458i −0.203529 0.518550i
\(463\) 9.54146i 0.443429i 0.975112 + 0.221715i \(0.0711653\pi\)
−0.975112 + 0.221715i \(0.928835\pi\)
\(464\) −0.959276 5.19560i −0.0445333 0.241200i
\(465\) −6.41172 + 7.08971i −0.297336 + 0.328777i
\(466\) 21.9543 3.91668i 1.01702 0.181437i
\(467\) 4.36437 2.51977i 0.201959 0.116601i −0.395610 0.918419i \(-0.629467\pi\)
0.597569 + 0.801818i \(0.296133\pi\)
\(468\) −11.2108 7.56751i −0.518221 0.349808i
\(469\) 1.84712 16.0621i 0.0852920 0.741677i
\(470\) 16.5056 13.9065i 0.761348 0.641460i
\(471\) 1.44005 + 4.46522i 0.0663542 + 0.205746i
\(472\) 0.188690 + 31.2788i 0.00868518 + 1.43972i
\(473\) −9.64147 5.56650i −0.443315 0.255948i
\(474\) −5.68562 3.55415i −0.261149 0.163248i
\(475\) −18.6972 −0.857884
\(476\) 16.4367 + 17.2179i 0.753374 + 0.789179i
\(477\) −32.9820 14.8576i −1.51014 0.680285i
\(478\) 30.2495 + 10.9411i 1.38358 + 0.500434i
\(479\) −13.6307 + 23.6091i −0.622804 + 1.07873i 0.366157 + 0.930553i \(0.380673\pi\)
−0.988961 + 0.148175i \(0.952660\pi\)
\(480\) −11.7815 4.65252i −0.537747 0.212358i
\(481\) −10.6516 18.4492i −0.485673 0.841211i
\(482\) 14.7534 12.4302i 0.671998 0.566180i
\(483\) 0.934833 + 4.67217i 0.0425364 + 0.212591i
\(484\) 2.57465 14.9530i 0.117030 0.679681i
\(485\) 5.64610 + 9.77933i 0.256376 + 0.444057i
\(486\) 14.0193 + 17.0135i 0.635930 + 0.771746i
\(487\) 0.905513 + 0.522798i 0.0410327 + 0.0236902i 0.520376 0.853937i \(-0.325792\pi\)
−0.479343 + 0.877627i \(0.659125\pi\)
\(488\) −21.7187 12.3652i −0.983159 0.559746i
\(489\) −3.21499 + 14.9644i −0.145387 + 0.676714i
\(490\) 10.7328 + 6.97129i 0.484857 + 0.314931i
\(491\) 29.3101i 1.32275i 0.750057 + 0.661373i \(0.230026\pi\)
−0.750057 + 0.661373i \(0.769974\pi\)
\(492\) 4.78875 0.681982i 0.215894 0.0307461i
\(493\) −5.14579 2.97092i −0.231755 0.133804i
\(494\) −17.6292 + 3.14507i −0.793175 + 0.141503i
\(495\) 7.12956 0.717849i 0.320450 0.0322649i
\(496\) 5.71098 16.0924i 0.256431 0.722569i
\(497\) 34.0132 14.7469i 1.52570 0.661490i
\(498\) −10.2604 + 5.45325i −0.459780 + 0.244366i
\(499\) 14.3749 + 24.8981i 0.643510 + 1.11459i 0.984643 + 0.174578i \(0.0558560\pi\)
−0.341133 + 0.940015i \(0.610811\pi\)
\(500\) −16.5520 13.7757i −0.740229 0.616070i
\(501\) 15.2633 + 13.8037i 0.681914 + 0.616702i
\(502\) −2.56425 + 7.08955i −0.114448 + 0.316422i
\(503\) 19.8016 0.882910 0.441455 0.897283i \(-0.354462\pi\)
0.441455 + 0.897283i \(0.354462\pi\)
\(504\) 11.3824 19.3505i 0.507011 0.861939i
\(505\) −8.84363 −0.393536
\(506\) 0.924044 2.55476i 0.0410788 0.113573i
\(507\) 10.1718 + 9.19903i 0.451744 + 0.408543i
\(508\) −27.8554 + 33.4693i −1.23589 + 1.48496i
\(509\) 14.1795 + 24.5596i 0.628494 + 1.08858i 0.987854 + 0.155385i \(0.0496618\pi\)
−0.359360 + 0.933199i \(0.617005\pi\)
\(510\) −12.5791 + 6.68561i −0.557012 + 0.296044i
\(511\) −2.65186 + 23.0599i −0.117312 + 1.02011i
\(512\) 22.6237 0.409474i 0.999836 0.0180964i
\(513\) 29.0064 + 3.24114i 1.28066 + 0.143100i
\(514\) −11.6821 + 2.08411i −0.515277 + 0.0919260i
\(515\) 5.02555 + 2.90151i 0.221452 + 0.127856i
\(516\) −2.94303 20.6654i −0.129560 0.909743i
\(517\) 21.8104i 0.959222i
\(518\) 29.4663 19.5441i 1.29468 0.858719i
\(519\) 2.27385 10.5838i 0.0998108 0.464577i
\(520\) −7.16349 4.07843i −0.314140 0.178851i
\(521\) 27.4943 + 15.8738i 1.20455 + 0.695445i 0.961563 0.274585i \(-0.0885404\pi\)
0.242984 + 0.970030i \(0.421874\pi\)
\(522\) −1.36854 + 5.43424i −0.0598995 + 0.237850i
\(523\) 3.11470 + 5.39482i 0.136196 + 0.235899i 0.926054 0.377392i \(-0.123179\pi\)
−0.789858 + 0.613290i \(0.789846\pi\)
\(524\) −10.6038 1.82580i −0.463231 0.0797606i
\(525\) 11.4571 10.0705i 0.500028 0.439512i
\(526\) −3.42648 + 2.88692i −0.149402 + 0.125876i
\(527\) −9.60185 16.6309i −0.418263 0.724453i
\(528\) −11.2666 + 6.07547i −0.490316 + 0.264401i
\(529\) 10.9594 18.9823i 0.476498 0.825318i
\(530\) −20.7313 7.49839i −0.900509 0.325709i
\(531\) 13.6266 30.2492i 0.591344 1.31270i
\(532\) −7.02445 28.8805i −0.304548 1.25213i
\(533\) 3.14780 0.136346
\(534\) 19.9358 + 12.4621i 0.862705 + 0.539288i
\(535\) −8.11735 4.68656i −0.350944 0.202618i
\(536\) −17.2839 + 0.104266i −0.746551 + 0.00450359i
\(537\) 0.883842 + 2.74056i 0.0381406 + 0.118264i
\(538\) −16.9112 + 14.2483i −0.729096 + 0.614286i
\(539\) 12.3758 3.75526i 0.533061 0.161751i
\(540\) 9.30834 + 9.68811i 0.400567 + 0.416910i
\(541\) 1.99979 1.15458i 0.0859776 0.0496392i −0.456395 0.889777i \(-0.650860\pi\)
0.542372 + 0.840138i \(0.317526\pi\)
\(542\) −19.9941 + 3.56696i −0.858819 + 0.153214i
\(543\) 5.19172 5.74071i 0.222798 0.246357i
\(544\) 16.1604 19.6572i 0.692871 0.842796i
\(545\) 15.9252i 0.682159i
\(546\) 9.10871 11.4225i 0.389817 0.488837i
\(547\) 32.5136 1.39018 0.695090 0.718922i \(-0.255364\pi\)
0.695090 + 0.718922i \(0.255364\pi\)
\(548\) 9.08093 + 24.6409i 0.387918 + 1.05261i
\(549\) 15.4871 + 21.5133i 0.660974 + 0.918167i
\(550\) −8.56211 + 1.52749i −0.365089 + 0.0651323i
\(551\) 3.70963 + 6.42528i 0.158036 + 0.273726i
\(552\) 4.83837 1.59268i 0.205935 0.0677891i
\(553\) 4.31401 5.81727i 0.183450 0.247375i
\(554\) 3.40067 + 4.03624i 0.144480 + 0.171484i
\(555\) 6.49494 + 20.1390i 0.275695 + 0.854854i
\(556\) 19.9474 + 16.6016i 0.845957 + 0.704064i
\(557\) 16.5711 28.7020i 0.702140 1.21614i −0.265574 0.964091i \(-0.585561\pi\)
0.967714 0.252052i \(-0.0811053\pi\)
\(558\) −12.6120 + 12.9986i −0.533910 + 0.550274i
\(559\) 13.5840i 0.574542i
\(560\) 6.01898 12.2867i 0.254348 0.519206i
\(561\) −3.02376 + 14.0743i −0.127663 + 0.594219i
\(562\) −9.06112 + 25.0519i −0.382220 + 1.05675i
\(563\) −13.6362 7.87286i −0.574697 0.331801i 0.184326 0.982865i \(-0.440990\pi\)
−0.759023 + 0.651064i \(0.774323\pi\)
\(564\) 32.1783 25.2357i 1.35495 1.06262i
\(565\) 8.14583 4.70300i 0.342698 0.197857i
\(566\) −23.3015 + 19.6323i −0.979435 + 0.825205i
\(567\) −19.5200 + 13.6371i −0.819763 + 0.572703i
\(568\) −20.0228 34.2023i −0.840137 1.43510i
\(569\) −20.1971 + 11.6608i −0.846706 + 0.488846i −0.859538 0.511072i \(-0.829249\pi\)
0.0128319 + 0.999918i \(0.495915\pi\)
\(570\) 17.7765 + 0.623885i 0.744577 + 0.0261317i
\(571\) 12.0030 20.7898i 0.502311 0.870027i −0.497686 0.867357i \(-0.665817\pi\)
0.999996 0.00267009i \(-0.000849917\pi\)
\(572\) −7.81611 + 2.88048i −0.326808 + 0.120439i
\(573\) 8.20558 38.1935i 0.342793 1.59556i
\(574\) 0.323969 + 5.21458i 0.0135222 + 0.217652i
\(575\) 3.46101 0.144334
\(576\) −21.9995 9.59272i −0.916648 0.399697i
\(577\) −2.69246 + 4.66349i −0.112089 + 0.194143i −0.916612 0.399777i \(-0.869087\pi\)
0.804523 + 0.593921i \(0.202421\pi\)
\(578\) −0.803841 4.50581i −0.0334354 0.187417i
\(579\) −9.57079 + 3.08663i −0.397749 + 0.128276i
\(580\) −0.579514 + 3.36568i −0.0240630 + 0.139752i
\(581\) −4.99244 11.5149i −0.207121 0.477717i
\(582\) 10.0413 + 18.8928i 0.416223 + 0.783133i
\(583\) −19.2933 + 11.1390i −0.799046 + 0.461329i
\(584\) 24.8141 0.149692i 1.02682 0.00619430i
\(585\) 5.10813 + 7.09576i 0.211195 + 0.293374i
\(586\) −5.50330 1.99051i −0.227339 0.0822274i
\(587\) 20.8871i 0.862104i 0.902327 + 0.431052i \(0.141857\pi\)
−0.902327 + 0.431052i \(0.858143\pi\)
\(588\) 19.8597 + 13.9137i 0.819001 + 0.573792i
\(589\) 23.9786i 0.988023i
\(590\) 6.87710 19.0135i 0.283126 0.782775i
\(591\) 4.05780 + 3.66975i 0.166915 + 0.150953i
\(592\) −24.5295 28.7601i −1.00816 1.18203i
\(593\) −31.7953 + 18.3570i −1.30567 + 0.753832i −0.981371 0.192122i \(-0.938463\pi\)
−0.324303 + 0.945953i \(0.605130\pi\)
\(594\) 13.5479 0.885479i 0.555876 0.0363317i
\(595\) −6.12065 14.1170i −0.250922 0.578742i
\(596\) −2.32153 + 13.4829i −0.0950937 + 0.552282i
\(597\) −7.51085 23.2891i −0.307399 0.953160i
\(598\) 3.26332 0.582180i 0.133447 0.0238071i
\(599\) 12.0639 20.8953i 0.492918 0.853760i −0.507048 0.861918i \(-0.669263\pi\)
0.999967 + 0.00815783i \(0.00259675\pi\)
\(600\) −12.1604 10.8648i −0.496445 0.443555i
\(601\) −30.7421 −1.25399 −0.626997 0.779021i \(-0.715716\pi\)
−0.626997 + 0.779021i \(0.715716\pi\)
\(602\) 22.5030 1.39806i 0.917154 0.0569806i
\(603\) 16.7150 + 7.52972i 0.680687 + 0.306634i
\(604\) 2.52548 + 6.85281i 0.102760 + 0.278837i
\(605\) −4.90393 + 8.49385i −0.199373 + 0.345324i
\(606\) −16.7458 0.587711i −0.680253 0.0238741i
\(607\) −3.75552 + 2.16825i −0.152432 + 0.0880066i −0.574276 0.818662i \(-0.694716\pi\)
0.421844 + 0.906668i \(0.361383\pi\)
\(608\) −29.7477 + 11.1672i −1.20643 + 0.452891i
\(609\) −5.73388 1.93918i −0.232349 0.0785795i
\(610\) 10.4090 + 12.3544i 0.421448 + 0.500216i
\(611\) 23.0468 13.3061i 0.932373 0.538306i
\(612\) −24.2634 + 11.8236i −0.980791 + 0.477939i
\(613\) −26.2945 15.1812i −1.06203 0.613161i −0.136034 0.990704i \(-0.543436\pi\)
−0.925992 + 0.377543i \(0.876769\pi\)
\(614\) 6.15947 + 2.22785i 0.248576 + 0.0899086i
\(615\) −3.05693 0.656759i −0.123268 0.0264831i
\(616\) −5.57618 12.6516i −0.224671 0.509746i
\(617\) 11.5709i 0.465827i −0.972497 0.232913i \(-0.925174\pi\)
0.972497 0.232913i \(-0.0748259\pi\)
\(618\) 9.32330 + 5.82811i 0.375038 + 0.234441i
\(619\) −8.62076 + 14.9316i −0.346497 + 0.600151i −0.985625 0.168950i \(-0.945962\pi\)
0.639127 + 0.769101i \(0.279296\pi\)
\(620\) −7.06087 + 8.48388i −0.283571 + 0.340721i
\(621\) −5.36934 0.599963i −0.215464 0.0240757i
\(622\) 15.2468 12.8459i 0.611341 0.515074i
\(623\) −15.1264 + 20.3974i −0.606028 + 0.817204i
\(624\) −13.2934 8.19875i −0.532161 0.328213i
\(625\) −1.36164 2.35843i −0.0544656 0.0943372i
\(626\) −3.45450 19.3637i −0.138070 0.773928i
\(627\) 12.0567 13.3316i 0.481499 0.532414i
\(628\) 1.87335 + 5.08329i 0.0747548 + 0.202845i
\(629\) −42.5107 −1.69501
\(630\) −11.2290 + 9.19232i −0.447373 + 0.366231i
\(631\) 4.91146i 0.195522i 0.995210 + 0.0977611i \(0.0311681\pi\)
−0.995210 + 0.0977611i \(0.968832\pi\)
\(632\) −6.72832 3.83067i −0.267638 0.152376i
\(633\) 2.51029 + 2.27023i 0.0997752 + 0.0902336i
\(634\) −4.14471 23.2326i −0.164608 0.922683i
\(635\) 24.3762 14.0736i 0.967339 0.558493i
\(636\) −38.7573 15.5763i −1.53683 0.617639i
\(637\) 11.5183 + 10.7863i 0.456372 + 0.427368i
\(638\) 2.22370 + 2.63930i 0.0880370 + 0.104491i
\(639\) 4.21118 + 41.8248i 0.166592 + 1.65456i
\(640\) −13.8134 4.80857i −0.546021 0.190075i
\(641\) −34.7916 20.0870i −1.37419 0.793387i −0.382735 0.923858i \(-0.625018\pi\)
−0.991452 + 0.130471i \(0.958351\pi\)
\(642\) −15.0591 9.41366i −0.594337 0.371527i
\(643\) 12.5997 0.496884 0.248442 0.968647i \(-0.420081\pi\)
0.248442 + 0.968647i \(0.420081\pi\)
\(644\) 1.30029 + 5.34603i 0.0512385 + 0.210663i
\(645\) −2.83418 + 13.1919i −0.111596 + 0.519431i
\(646\) −12.1544 + 33.6039i −0.478207 + 1.32213i
\(647\) −9.55483 + 16.5495i −0.375639 + 0.650626i −0.990422 0.138070i \(-0.955910\pi\)
0.614783 + 0.788696i \(0.289243\pi\)
\(648\) 16.9819 + 18.9635i 0.667114 + 0.744956i
\(649\) −10.2160 17.6947i −0.401015 0.694578i
\(650\) −6.83763 8.11557i −0.268194 0.318319i
\(651\) −12.9152 14.6934i −0.506185 0.575881i
\(652\) −2.99898 + 17.4174i −0.117449 + 0.682118i
\(653\) −4.01546 6.95497i −0.157137 0.272169i 0.776698 0.629873i \(-0.216893\pi\)
−0.933835 + 0.357704i \(0.883560\pi\)
\(654\) 1.05832 30.1550i 0.0413836 1.17916i
\(655\) 6.02338 + 3.47760i 0.235353 + 0.135881i
\(656\) 5.49253 1.01410i 0.214447 0.0395939i
\(657\) −23.9973 10.8102i −0.936225 0.421748i
\(658\) 24.4145 + 36.8094i 0.951778 + 1.43498i
\(659\) 5.21061i 0.202977i −0.994837 0.101488i \(-0.967640\pi\)
0.994837 0.101488i \(-0.0323604\pi\)
\(660\) 8.19148 1.16658i 0.318853 0.0454089i
\(661\) −33.5498 19.3700i −1.30494 0.753406i −0.323690 0.946163i \(-0.604924\pi\)
−0.981246 + 0.192757i \(0.938257\pi\)
\(662\) 2.39508 + 13.4252i 0.0930873 + 0.521787i
\(663\) −16.7169 + 5.39128i −0.649230 + 0.209380i
\(664\) −11.5789 + 6.77852i −0.449347 + 0.263058i
\(665\) −2.19497 + 19.0869i −0.0851171 + 0.740157i
\(666\) 10.9601 + 38.5658i 0.424695 + 1.49440i
\(667\) −0.686686 1.18937i −0.0265886 0.0460528i
\(668\) 18.2648 + 15.2012i 0.706685 + 0.588153i
\(669\) −4.18223 + 4.62447i −0.161694 + 0.178792i
\(670\) 10.5064 + 3.80012i 0.405899 + 0.146811i
\(671\) 16.3251 0.630223
\(672\) 12.2137 22.8654i 0.471155 0.882050i
\(673\) −33.1783 −1.27893 −0.639465 0.768821i \(-0.720844\pi\)
−0.639465 + 0.768821i \(0.720844\pi\)
\(674\) −39.2168 14.1845i −1.51057 0.546366i
\(675\) 6.93124 + 15.8467i 0.266784 + 0.609939i
\(676\) 12.1720 + 10.1304i 0.468154 + 0.389630i
\(677\) 15.7573 + 27.2925i 0.605602 + 1.04893i 0.991956 + 0.126583i \(0.0404011\pi\)
−0.386354 + 0.922351i \(0.626266\pi\)
\(678\) 15.7371 8.36401i 0.604378 0.321218i
\(679\) −21.2027 + 9.19274i −0.813684 + 0.352785i
\(680\) −14.1955 + 8.31037i −0.544373 + 0.318688i
\(681\) 3.10016 + 9.61276i 0.118798 + 0.368362i
\(682\) 1.95897 + 10.9807i 0.0750127 + 0.420472i
\(683\) −19.4038 11.2028i −0.742465 0.428663i 0.0804996 0.996755i \(-0.474348\pi\)
−0.822965 + 0.568092i \(0.807682\pi\)
\(684\) 33.6192 + 2.36271i 1.28546 + 0.0903405i
\(685\) 16.9751i 0.648585i
\(686\) −16.6829 + 20.1911i −0.636956 + 0.770901i
\(687\) 22.0573 + 4.73884i 0.841539 + 0.180798i
\(688\) −4.37625 23.7025i −0.166843 0.903649i
\(689\) −23.5408 13.5913i −0.896833 0.517787i
\(690\) −3.29059 0.115487i −0.125271 0.00439650i
\(691\) −7.24483 12.5484i −0.275606 0.477364i 0.694682 0.719317i \(-0.255545\pi\)
−0.970288 + 0.241953i \(0.922212\pi\)
\(692\) 2.12108 12.3187i 0.0806312 0.468287i
\(693\) −0.207464 + 14.6631i −0.00788090 + 0.557006i
\(694\) −11.4594 13.6012i −0.434995 0.516294i
\(695\) −8.38773 14.5280i −0.318165 0.551077i
\(696\) −1.32101 + 6.33456i −0.0500726 + 0.240111i
\(697\) 3.14071 5.43987i 0.118963 0.206050i
\(698\) 16.5956 45.8830i 0.628155 1.73670i
\(699\) −26.7037 5.73708i −1.01003 0.216996i
\(700\) 12.7404 12.1623i 0.481541 0.459693i
\(701\) −21.9950 −0.830738 −0.415369 0.909653i \(-0.636348\pi\)
−0.415369 + 0.909653i \(0.636348\pi\)
\(702\) 9.20092 + 13.7756i 0.347267 + 0.519927i
\(703\) 45.9694 + 26.5404i 1.73377 + 1.00099i
\(704\) −12.7102 + 7.54415i −0.479034 + 0.284331i
\(705\) −25.1577 + 8.11349i −0.947495 + 0.305572i
\(706\) 9.58261 + 11.3736i 0.360646 + 0.428050i
\(707\) 2.06770 17.9802i 0.0777639 0.676215i
\(708\) 14.2857 35.5460i 0.536888 1.33590i
\(709\) 17.2122 9.93745i 0.646416 0.373209i −0.140666 0.990057i \(-0.544924\pi\)
0.787082 + 0.616849i \(0.211591\pi\)
\(710\) 4.49929 + 25.2201i 0.168855 + 0.946493i
\(711\) 4.79782 + 6.66471i 0.179932 + 0.249946i
\(712\) 23.5919 + 13.4317i 0.884143 + 0.503373i
\(713\) 4.43866i 0.166229i
\(714\) −10.6516 27.1380i −0.398626 1.01561i
\(715\) 5.38452 0.201370
\(716\) 1.14978 + 3.11990i 0.0429693 + 0.116596i
\(717\) −29.2199 26.4256i −1.09124 0.986881i
\(718\) −3.98843 22.3565i −0.148847 0.834339i
\(719\) 4.05138 + 7.01719i 0.151091 + 0.261697i 0.931629 0.363411i \(-0.118388\pi\)
−0.780538 + 0.625108i \(0.785055\pi\)
\(720\) 11.1991 + 10.7356i 0.417365 + 0.400093i
\(721\) −7.07413 + 9.53918i −0.263454 + 0.355258i
\(722\) 13.5741 11.4366i 0.505175 0.425626i
\(723\) −22.4870 + 7.25216i −0.836300 + 0.269711i
\(724\) 5.71736 6.86960i 0.212484 0.255307i
\(725\) −2.19834 + 3.80763i −0.0816442 + 0.141412i
\(726\) −9.85028 + 15.7576i −0.365578 + 0.584820i
\(727\) 1.56460i 0.0580278i −0.999579 0.0290139i \(-0.990763\pi\)
0.999579 0.0290139i \(-0.00923671\pi\)
\(728\) 9.96682 13.6107i 0.369395 0.504446i
\(729\) −8.00598 25.7857i −0.296518 0.955027i
\(730\) −15.0838 5.45574i −0.558278 0.201926i
\(731\) −23.4752 13.5534i −0.868263 0.501292i
\(732\) 18.8889 + 24.0854i 0.698154 + 0.890223i
\(733\) 10.2679 5.92818i 0.379254 0.218962i −0.298240 0.954491i \(-0.596400\pi\)
0.677493 + 0.735529i \(0.263066\pi\)
\(734\) 21.9117 + 26.0069i 0.808775 + 0.959934i
\(735\) −8.93537 12.8781i −0.329586 0.475017i
\(736\) 5.50655 2.06715i 0.202974 0.0761962i
\(737\) 9.77767 5.64514i 0.360165 0.207941i
\(738\) −5.74480 1.44675i −0.211469 0.0532558i
\(739\) −6.94639 + 12.0315i −0.255527 + 0.442586i −0.965039 0.262108i \(-0.915582\pi\)
0.709511 + 0.704694i \(0.248916\pi\)
\(740\) 8.44919 + 22.9266i 0.310598 + 0.842800i
\(741\) 21.4429 + 4.60684i 0.787724 + 0.169236i
\(742\) 20.0923 40.3961i 0.737610 1.48299i
\(743\) −25.3287 −0.929221 −0.464611 0.885515i \(-0.653806\pi\)
−0.464611 + 0.885515i \(0.653806\pi\)
\(744\) −13.9339 + 15.5954i −0.510841 + 0.571754i
\(745\) 4.42182 7.65881i 0.162003 0.280597i
\(746\) 20.1144 3.58844i 0.736442 0.131382i
\(747\) 14.1594 1.42566i 0.518065 0.0521621i
\(748\) −2.82061 + 16.3814i −0.103132 + 0.598965i
\(749\) 11.4262 15.4078i 0.417506 0.562990i
\(750\) 12.3780 + 23.2894i 0.451980 + 0.850409i
\(751\) −10.4902 + 6.05653i −0.382793 + 0.221006i −0.679033 0.734108i \(-0.737601\pi\)
0.296240 + 0.955114i \(0.404267\pi\)
\(752\) 35.9272 30.6423i 1.31013 1.11741i
\(753\) 6.19333 6.84823i 0.225698 0.249563i
\(754\) −1.43229 + 3.95993i −0.0521608 + 0.144212i
\(755\) 4.72090i 0.171811i
\(756\) −21.8735 + 16.6599i −0.795531 + 0.605913i
\(757\) 21.6528i 0.786983i 0.919328 + 0.393491i \(0.128733\pi\)
−0.919328 + 0.393491i \(0.871267\pi\)
\(758\) 39.6373 + 14.3366i 1.43969 + 0.520729i
\(759\) −2.23180 + 2.46780i −0.0810094 + 0.0895755i
\(760\) 20.5388 0.123901i 0.745021 0.00449436i
\(761\) 33.4532 19.3142i 1.21268 0.700141i 0.249337 0.968417i \(-0.419787\pi\)
0.963342 + 0.268276i \(0.0864539\pi\)
\(762\) 47.0927 25.0291i 1.70599 0.906707i
\(763\) 32.3778 + 3.72341i 1.17216 + 0.134797i
\(764\) 7.65428 44.4542i 0.276922 1.60830i
\(765\) 17.3592 1.74783i 0.627623 0.0631931i
\(766\) −2.79575 15.6711i −0.101014 0.566221i
\(767\) 12.4652 21.5903i 0.450091 0.779580i
\(768\) −25.8367 10.0232i −0.932301 0.361682i
\(769\) 32.8604 1.18498 0.592489 0.805579i \(-0.298145\pi\)
0.592489 + 0.805579i \(0.298145\pi\)
\(770\) 0.554172 + 8.91989i 0.0199710 + 0.321450i
\(771\) 14.2093 + 3.05276i 0.511736 + 0.109943i
\(772\) −10.8956 + 4.01536i −0.392140 + 0.144516i
\(773\) 14.2511 24.6836i 0.512576 0.887808i −0.487318